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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="3" unmarked="U61"><NAME>Marked_U61</NAME></SYMBOL><SYMBOL arity="3" unmarked="U11"><NAME>Marked_U11</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U31</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="2" unmarked="U21"><NAME>Marked_U21</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U14</NAME></SYMBOL><SYMBOL arity="1" unmarked="s"><NAME>Marked_s</NAME></SYMBOL><SYMBOL arity="3" unmarked="U14"><NAME>Marked_U14</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U22</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U62</NAME></SYMBOL><SYMBOL arity="1" unmarked="U32"><NAME>Marked_U32</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>active</NAME></SYMBOL><SYMBOL arity="3" unmarked="U63"><NAME>Marked_U63</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNatKind"><NAME>Marked_isNatKind</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U23</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U63</NAME></SYMBOL><SYMBOL arity="1" unmarked="U23"><NAME>Marked_U23</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNat"><NAME>Marked_isNat</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNat</NAME></SYMBOL><SYMBOL arity="1" unmarked="active"><NAME>Marked_active</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U52</NAME></SYMBOL><SYMBOL arity="2" unmarked="U51"><NAME>Marked_U51</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U12</NAME></SYMBOL><SYMBOL arity="3" unmarked="U62"><NAME>Marked_U62</NAME></SYMBOL><SYMBOL arity="3" unmarked="U12"><NAME>Marked_U12</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U32</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U64</NAME></SYMBOL><SYMBOL arity="2" unmarked="U22"><NAME>Marked_U22</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U13</NAME></SYMBOL><SYMBOL arity="2" unmarked="plus"><NAME>Marked_plus</NAME></SYMBOL><SYMBOL arity="2" unmarked="U15"><NAME>Marked_U15</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U16</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U51</NAME></SYMBOL><SYMBOL arity="1" unmarked="U41"><NAME>Marked_U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatKind</NAME></SYMBOL><SYMBOL arity="3" unmarked="U64"><NAME>Marked_U64</NAME></SYMBOL><SYMBOL arity="3" unmarked="U13"><NAME>Marked_U13</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U21</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U61</NAME></SYMBOL><SYMBOL arity="2" unmarked="U31"><NAME>Marked_U31</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U11</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>plus</NAME></SYMBOL><SYMBOL arity="1" unmarked="U16"><NAME>Marked_U16</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U15</NAME></SYMBOL><SYMBOL arity="1" unmarked="mark"><NAME>Marked_mark</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U41</NAME></SYMBOL><SYMBOL arity="2" unmarked="U52"><NAME>Marked_U52</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>mark</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X</VAR><VAR>X3</VAR><VAR>X2</VAR><VAR>X1</VAR><VAR>M</VAR><VAR>N</VAR><VAR>V2</VAR><VAR>V1</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_U12(isNatKind(V1),V1,V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_U13(isNatKind(V2),V1,V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_isNatKind(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_U14(isNatKind(V2),V1,V2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_isNatKind(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_U15(isNat(V1),V2)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_isNat(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_U16(isNat(V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_isNat(V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(U16(tt))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_U22(isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_U23(isNat(V1))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_isNat(V1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_active(U23(tt))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_U32(isNatKind(V2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_isNatKind(V2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_active(U32(tt))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_active(U41(tt))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_U52(isNatKind(N),N)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_isNatKind(N)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_U62(isNatKind(M),M,N)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_isNatKind(M)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_U63(isNat(N),M,N)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_U64(isNatKind(N),M,N)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_isNatKind(N)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_s(plus(N,M))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_plus(N,M)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_active(isNat(0))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_U11(isNatKind(V1),V1,V2)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_U21(isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_active(isNatKind(0))</LHS><RHS>Marked_mark(tt)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_U31(isNatKind(V1),V2)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="56"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_U41(isNatKind(V1))</RHS></DPRULE><DPRULE num="57"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_isNatKind(V1)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_active(plus(N,0))</LHS><RHS>Marked_mark(U51(isNat(N),N))</RHS></DPRULE><DPRULE num="59"><LHS>Marked_active(plus(N,0))</LHS><RHS>Marked_U51(isNat(N),N)</RHS></DPRULE><DPRULE num="60"><LHS>Marked_active(plus(N,0))</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="62"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_U61(isNat(M),M,N)</RHS></DPRULE><DPRULE num="63"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="64"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="65"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_U11(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="66"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="67"><LHS>Marked_mark(tt)</LHS><RHS>Marked_active(tt)</RHS></DPRULE><DPRULE num="68"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="69"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_U12(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="70"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="71"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="72"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="73"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_U13(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="74"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="75"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="76"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_U14(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="77"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="78"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="79"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_U15(mark(X1),X2)</RHS></DPRULE><DPRULE num="80"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="81"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="82"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_active(U16(mark(X)))</RHS></DPRULE><DPRULE num="83"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_U16(mark(X))</RHS></DPRULE><DPRULE num="84"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="85"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="86"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="87"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="88"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="89"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_U22(mark(X1),X2)</RHS></DPRULE><DPRULE num="90"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="91"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_active(U23(mark(X)))</RHS></DPRULE><DPRULE num="92"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_U23(mark(X))</RHS></DPRULE><DPRULE num="93"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="94"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="95"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="96"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="97"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_active(U32(mark(X)))</RHS></DPRULE><DPRULE num="98"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_U32(mark(X))</RHS></DPRULE><DPRULE num="99"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="100"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_active(U41(mark(X)))</RHS></DPRULE><DPRULE num="101"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_U41(mark(X))</RHS></DPRULE><DPRULE num="102"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="103"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="104"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_U51(mark(X1),X2)</RHS></DPRULE><DPRULE num="105"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="106"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="107"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="108"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="109"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="110"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="111"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="112"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="113"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_U62(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="114"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="115"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="116"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_U63(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="117"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="118"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="119"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_U64(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="120"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="121"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_active(s(mark(X)))</RHS></DPRULE><DPRULE num="122"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_s(mark(X))</RHS></DPRULE><DPRULE num="123"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="124"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="125"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_plus(mark(X1),mark(X2))</RHS></DPRULE><DPRULE num="126"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="127"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE><DPRULE num="128"><LHS>Marked_mark(0)</LHS><RHS>Marked_active(0)</RHS></DPRULE><DPRULE num="129"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="130"><LHS>Marked_U11(X1,mark(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="131"><LHS>Marked_U11(X1,X2,mark(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="132"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="133"><LHS>Marked_U11(X1,active(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="134"><LHS>Marked_U11(X1,X2,active(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="135"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="136"><LHS>Marked_U12(X1,mark(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="137"><LHS>Marked_U12(X1,X2,mark(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="138"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="139"><LHS>Marked_U12(X1,active(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="140"><LHS>Marked_U12(X1,X2,active(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="141"><LHS>Marked_isNatKind(mark(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE><DPRULE num="142"><LHS>Marked_isNatKind(active(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE><DPRULE num="143"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="144"><LHS>Marked_U13(X1,mark(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="145"><LHS>Marked_U13(X1,X2,mark(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="146"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="147"><LHS>Marked_U13(X1,active(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="148"><LHS>Marked_U13(X1,X2,active(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="149"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="150"><LHS>Marked_U14(X1,mark(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="151"><LHS>Marked_U14(X1,X2,mark(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="152"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="153"><LHS>Marked_U14(X1,active(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="154"><LHS>Marked_U14(X1,X2,active(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="155"><LHS>Marked_U15(mark(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="156"><LHS>Marked_U15(X1,mark(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="157"><LHS>Marked_U15(active(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="158"><LHS>Marked_U15(X1,active(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="159"><LHS>Marked_isNat(mark(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE><DPRULE num="160"><LHS>Marked_isNat(active(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE><DPRULE num="161"><LHS>Marked_U16(mark(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE><DPRULE num="162"><LHS>Marked_U16(active(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE><DPRULE num="163"><LHS>Marked_U21(mark(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="164"><LHS>Marked_U21(X1,mark(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="165"><LHS>Marked_U21(active(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="166"><LHS>Marked_U21(X1,active(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="167"><LHS>Marked_U22(mark(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="168"><LHS>Marked_U22(X1,mark(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="169"><LHS>Marked_U22(active(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="170"><LHS>Marked_U22(X1,active(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="171"><LHS>Marked_U23(mark(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE><DPRULE num="172"><LHS>Marked_U23(active(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE><DPRULE num="173"><LHS>Marked_U31(mark(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="174"><LHS>Marked_U31(X1,mark(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="175"><LHS>Marked_U31(active(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="176"><LHS>Marked_U31(X1,active(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="177"><LHS>Marked_U32(mark(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE><DPRULE num="178"><LHS>Marked_U32(active(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE><DPRULE num="179"><LHS>Marked_U41(mark(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE><DPRULE num="180"><LHS>Marked_U41(active(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE><DPRULE num="181"><LHS>Marked_U51(mark(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="182"><LHS>Marked_U51(X1,mark(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="183"><LHS>Marked_U51(active(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="184"><LHS>Marked_U51(X1,active(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="185"><LHS>Marked_U52(mark(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="186"><LHS>Marked_U52(X1,mark(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="187"><LHS>Marked_U52(active(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="188"><LHS>Marked_U52(X1,active(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="189"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="190"><LHS>Marked_U61(X1,mark(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="191"><LHS>Marked_U61(X1,X2,mark(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="192"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="193"><LHS>Marked_U61(X1,active(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="194"><LHS>Marked_U61(X1,X2,active(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="195"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="196"><LHS>Marked_U62(X1,mark(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="197"><LHS>Marked_U62(X1,X2,mark(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="198"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="199"><LHS>Marked_U62(X1,active(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="200"><LHS>Marked_U62(X1,X2,active(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="201"><LHS>Marked_U63(mark(X1),X2,X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="202"><LHS>Marked_U63(X1,mark(X2),X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="203"><LHS>Marked_U63(X1,X2,mark(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="204"><LHS>Marked_U63(active(X1),X2,X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="205"><LHS>Marked_U63(X1,active(X2),X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="206"><LHS>Marked_U63(X1,X2,active(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="207"><LHS>Marked_U64(mark(X1),X2,X3)</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="208"><LHS>Marked_U64(X1,mark(X2),X3)</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="209"><LHS>Marked_U64(X1,X2,mark(X3))</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="210"><LHS>Marked_U64(active(X1),X2,X3)</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="211"><LHS>Marked_U64(X1,active(X2),X3)</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="212"><LHS>Marked_U64(X1,X2,active(X3))</LHS><RHS>Marked_U64(X1,X2,X3)</RHS></DPRULE><DPRULE num="213"><LHS>Marked_s(mark(X))</LHS><RHS>Marked_s(X)</RHS></DPRULE><DPRULE num="214"><LHS>Marked_s(active(X))</LHS><RHS>Marked_s(X)</RHS></DPRULE><DPRULE num="215"><LHS>Marked_plus(mark(X1),X2)</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="216"><LHS>Marked_plus(X1,mark(X2))</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="217"><LHS>Marked_plus(active(X1),X2)</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="218"><LHS>Marked_plus(X1,active(X2))</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="215"/><NODE ref="216"/><NODE ref="217"/><NODE ref="218"/></SCC><SCC num="1"><NODE ref="213"/><NODE ref="214"/></SCC><SCC num="2"><NODE ref="207"/><NODE ref="208"/><NODE ref="209"/><NODE ref="210"/><NODE ref="211"/><NODE ref="212"/></SCC><SCC num="3"><NODE ref="201"/><NODE ref="202"/><NODE ref="203"/><NODE ref="204"/><NODE ref="205"/><NODE ref="206"/></SCC><SCC num="4"><NODE ref="195"/><NODE ref="196"/><NODE ref="197"/><NODE ref="198"/><NODE ref="199"/><NODE ref="200"/></SCC><SCC num="5"><NODE ref="189"/><NODE ref="190"/><NODE ref="191"/><NODE ref="192"/><NODE ref="193"/><NODE ref="194"/></SCC><SCC num="6"><NODE ref="185"/><NODE ref="186"/><NODE ref="187"/><NODE ref="188"/></SCC><SCC num="7"><NODE ref="181"/><NODE ref="182"/><NODE ref="183"/><NODE ref="184"/></SCC><SCC num="8"><NODE ref="179"/><NODE ref="180"/></SCC><SCC num="9"><NODE ref="177"/><NODE ref="178"/></SCC><SCC num="10"><NODE ref="173"/><NODE ref="174"/><NODE ref="175"/><NODE ref="176"/></SCC><SCC num="11"><NODE ref="171"/><NODE ref="172"/></SCC><SCC num="12"><NODE ref="167"/><NODE ref="168"/><NODE ref="169"/><NODE ref="170"/></SCC><SCC num="13"><NODE ref="163"/><NODE ref="164"/><NODE ref="165"/><NODE ref="166"/></SCC><SCC num="14"><NODE ref="161"/><NODE ref="162"/></SCC><SCC num="15"><NODE ref="159"/><NODE ref="160"/></SCC><SCC num="16"><NODE ref="155"/><NODE ref="156"/><NODE ref="157"/><NODE ref="158"/></SCC><SCC num="17"><NODE ref="149"/><NODE ref="150"/><NODE ref="151"/><NODE ref="152"/><NODE ref="153"/><NODE ref="154"/></SCC><SCC num="18"><NODE ref="143"/><NODE ref="144"/><NODE ref="145"/><NODE ref="146"/><NODE ref="147"/><NODE ref="148"/></SCC><SCC num="19"><NODE ref="141"/><NODE ref="142"/></SCC><SCC num="20"><NODE ref="135"/><NODE ref="136"/><NODE ref="137"/><NODE ref="138"/><NODE ref="139"/><NODE ref="140"/></SCC><SCC num="21"><NODE ref="129"/><NODE ref="130"/><NODE ref="131"/><NODE ref="132"/><NODE ref="133"/><NODE ref="134"/></SCC><NONSCC num="22"><NODE ref="128"/></NONSCC><SCC num="23"><NODE ref="0"/><NODE ref="3"/><NODE ref="6"/><NODE ref="9"/><NODE ref="12"/><NODE ref="16"/><NODE ref="19"/><NODE ref="23"/><NODE ref="28"/><NODE ref="31"/><NODE ref="32"/><NODE ref="35"/><NODE ref="38"/><NODE ref="41"/><NODE ref="45"/><NODE ref="48"/><NODE ref="52"/><NODE ref="55"/><NODE ref="58"/><NODE ref="61"/><NODE ref="64"/><NODE ref="66"/><NODE ref="68"/><NODE ref="70"/><NODE ref="71"/><NODE ref="72"/><NODE ref="74"/><NODE ref="75"/><NODE ref="77"/><NODE ref="78"/><NODE ref="80"/><NODE ref="81"/><NODE ref="82"/><NODE ref="84"/><NODE ref="85"/><NODE ref="87"/><NODE ref="88"/><NODE ref="90"/><NODE ref="91"/><NODE ref="93"/><NODE ref="94"/><NODE ref="96"/><NODE ref="97"/><NODE ref="99"/><NODE ref="100"/><NODE ref="102"/><NODE ref="103"/><NODE ref="105"/><NODE ref="106"/><NODE ref="108"/><NODE ref="109"/><NODE ref="111"/><NODE ref="112"/><NODE ref="114"/><NODE ref="115"/><NODE ref="117"/><NODE ref="118"/><NODE ref="120"/><NODE ref="121"/><NODE ref="123"/><NODE ref="124"/><NODE ref="126"/><NODE ref="127"/></SCC><NONSCC num="24"><NODE ref="125"/></NONSCC><NONSCC num="25"><NODE ref="122"/></NONSCC><NONSCC num="26"><NODE ref="119"/></NONSCC><NONSCC num="27"><NODE ref="116"/></NONSCC><NONSCC num="28"><NODE ref="113"/></NONSCC><NONSCC num="29"><NODE ref="110"/></NONSCC><NONSCC num="30"><NODE ref="107"/></NONSCC><NONSCC num="31"><NODE ref="104"/></NONSCC><NONSCC num="32"><NODE ref="101"/></NONSCC><NONSCC num="33"><NODE ref="98"/></NONSCC><NONSCC num="34"><NODE ref="95"/></NONSCC><NONSCC num="35"><NODE ref="92"/></NONSCC><NONSCC num="36"><NODE ref="89"/></NONSCC><NONSCC num="37"><NODE ref="86"/></NONSCC><NONSCC num="38"><NODE ref="83"/></NONSCC><NONSCC num="39"><NODE ref="79"/></NONSCC><NONSCC num="40"><NODE ref="76"/></NONSCC><NONSCC num="41"><NODE ref="73"/></NONSCC><NONSCC num="42"><NODE ref="69"/></NONSCC><NONSCC num="43"><NODE ref="67"/></NONSCC><NONSCC num="44"><NODE ref="65"/></NONSCC><NONSCC num="45"><NODE ref="63"/></NONSCC><NONSCC num="46"><NODE ref="62"/></NONSCC><NONSCC num="47"><NODE ref="60"/></NONSCC><NONSCC num="48"><NODE ref="59"/></NONSCC><NONSCC num="49"><NODE ref="57"/></NONSCC><NONSCC num="50"><NODE ref="56"/></NONSCC><NONSCC num="51"><NODE ref="54"/></NONSCC><NONSCC num="52"><NODE ref="53"/></NONSCC><NONSCC num="53"><NODE ref="51"/></NONSCC><NONSCC num="54"><NODE ref="50"/></NONSCC><NONSCC num="55"><NODE ref="49"/></NONSCC><NONSCC num="56"><NODE ref="47"/></NONSCC><NONSCC num="57"><NODE ref="46"/></NONSCC><NONSCC num="58"><NODE ref="44"/></NONSCC><NONSCC num="59"><NODE ref="43"/></NONSCC><NONSCC num="60"><NODE ref="42"/></NONSCC><NONSCC num="61"><NODE ref="40"/></NONSCC><NONSCC num="62"><NODE ref="39"/></NONSCC><NONSCC num="63"><NODE ref="37"/></NONSCC><NONSCC num="64"><NODE ref="36"/></NONSCC><NONSCC num="65"><NODE ref="34"/></NONSCC><NONSCC num="66"><NODE ref="33"/></NONSCC><NONSCC num="67"><NODE ref="30"/></NONSCC><NONSCC num="68"><NODE ref="29"/></NONSCC><NONSCC num="69"><NODE ref="27"/></NONSCC><NONSCC num="70"><NODE ref="26"/></NONSCC><NONSCC num="71"><NODE ref="25"/></NONSCC><NONSCC num="72"><NODE ref="24"/></NONSCC><NONSCC num="73"><NODE ref="22"/></NONSCC><NONSCC num="74"><NODE ref="21"/></NONSCC><NONSCC num="75"><NODE ref="20"/></NONSCC><NONSCC num="76"><NODE ref="18"/></NONSCC><NONSCC num="77"><NODE ref="17"/></NONSCC><NONSCC num="78"><NODE ref="15"/></NONSCC><NONSCC num="79"><NODE ref="14"/></NONSCC><NONSCC num="80"><NODE ref="13"/></NONSCC><NONSCC num="81"><NODE ref="11"/></NONSCC><NONSCC num="82"><NODE ref="10"/></NONSCC><NONSCC num="83"><NODE ref="8"/></NONSCC><NONSCC num="84"><NODE ref="7"/></NONSCC><NONSCC num="85"><NODE ref="5"/></NONSCC><NONSCC num="86"><NODE ref="4"/></NONSCC><NONSCC num="87"><NODE ref="2"/></NONSCC><NONSCC num="88"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="88" start="23"/><EDGE end="87" start="23"/><EDGE end="86" start="23"/><EDGE end="85" start="23"/><EDGE end="84" start="23"/><EDGE end="83" start="23"/><EDGE end="82" start="23"/><EDGE end="81" start="23"/><EDGE end="80" start="23"/><EDGE end="79" start="23"/><EDGE end="78" start="23"/><EDGE end="77" start="23"/><EDGE end="76" start="23"/><EDGE end="75" start="23"/><EDGE end="74" start="23"/><EDGE end="73" start="23"/><EDGE end="72" start="23"/><EDGE end="71" start="23"/><EDGE end="70" start="23"/><EDGE end="69" start="23"/><EDGE end="68" start="23"/><EDGE end="67" start="23"/><EDGE end="66" start="23"/><EDGE end="65" start="23"/><EDGE end="64" start="23"/><EDGE end="63" start="23"/><EDGE end="62" start="23"/><EDGE end="61" start="23"/><EDGE end="60" start="23"/><EDGE end="59" start="23"/><EDGE end="58" start="23"/><EDGE end="57" start="23"/><EDGE end="56" start="23"/><EDGE end="55" start="23"/><EDGE end="54" start="23"/><EDGE end="53" start="23"/><EDGE end="52" start="23"/><EDGE end="51" start="23"/><EDGE end="50" start="23"/><EDGE end="49" start="23"/><EDGE end="48" start="23"/><EDGE end="47" start="23"/><EDGE end="46" start="23"/><EDGE end="45" start="23"/><EDGE end="44" start="23"/><EDGE end="43" start="23"/><EDGE end="42" start="23"/><EDGE end="41" start="23"/><EDGE end="40" start="23"/><EDGE end="39" start="23"/><EDGE end="38" start="23"/><EDGE end="37" start="23"/><EDGE end="36" start="23"/><EDGE end="35" start="23"/><EDGE end="34" start="23"/><EDGE end="33" start="23"/><EDGE end="32" start="23"/><EDGE end="31" start="23"/><EDGE end="30" start="23"/><EDGE end="29" start="23"/><EDGE end="28" start="23"/><EDGE end="27" start="23"/><EDGE end="26" start="23"/><EDGE end="25" start="23"/><EDGE end="24" start="23"/><EDGE end="22" start="23"/><EDGE end="0" start="24"/><EDGE end="1" start="25"/><EDGE end="2" start="26"/><EDGE end="3" start="27"/><EDGE end="4" start="28"/><EDGE end="5" start="29"/><EDGE end="6" start="30"/><EDGE end="7" start="31"/><EDGE end="8" start="32"/><EDGE end="9" start="33"/><EDGE end="10" start="34"/><EDGE end="11" start="35"/><EDGE end="12" start="36"/><EDGE end="13" start="37"/><EDGE end="14" start="38"/><EDGE end="16" start="39"/><EDGE end="17" start="40"/><EDGE end="18" start="41"/><EDGE end="20" start="42"/><EDGE end="21" start="44"/><EDGE end="15" start="45"/><EDGE end="5" start="46"/><EDGE end="15" start="47"/><EDGE end="7" start="48"/><EDGE end="19" start="49"/><EDGE end="8" start="50"/><EDGE end="19" start="51"/><EDGE end="10" start="52"/><EDGE end="43" start="53"/><EDGE end="19" start="54"/><EDGE end="13" start="55"/><EDGE end="19" start="56"/><EDGE end="21" start="57"/><EDGE end="43" start="58"/><EDGE end="0" start="59"/><EDGE end="1" start="60"/><EDGE end="19" start="61"/><EDGE end="2" start="62"/><EDGE end="15" start="63"/><EDGE end="3" start="64"/><EDGE end="19" start="65"/><EDGE end="4" start="66"/><EDGE end="19" start="67"/><EDGE end="6" start="68"/><EDGE end="43" start="69"/><EDGE end="43" start="70"/><EDGE end="19" start="71"/><EDGE end="9" start="72"/><EDGE end="43" start="73"/><EDGE end="15" start="74"/><EDGE end="11" start="75"/><EDGE end="19" start="76"/><EDGE end="12" start="77"/><EDGE end="43" start="78"/><EDGE end="15" start="79"/><EDGE end="14" start="80"/><EDGE end="15" start="81"/><EDGE end="16" start="82"/><EDGE end="19" start="83"/><EDGE end="17" start="84"/><EDGE end="19" start="85"/><EDGE end="18" start="86"/><EDGE end="19" start="87"/><EDGE end="20" start="88"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(plus(N,0))</LHS><RHS>Marked_mark(U51(isNat(N),N))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_active(U16(mark(X)))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_active(U23(mark(X)))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_active(U32(mark(X)))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_active(U41(mark(X)))</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_active(s(mark(X)))</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="60"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="61"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="62"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(plus(N,0))</LHS><RHS>Marked_mark(U51(isNat(N),N))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_active(U16(mark(X)))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_active(U23(mark(X)))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_active(U32(mark(X)))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_active(U41(mark(X)))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_active(s(mark(X)))</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="60"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/><NODE ref="54"/><NODE ref="55"/><NODE ref="56"/><NODE ref="57"/><NODE ref="58"/><NODE ref="59"/><NODE ref="60"/><NODE ref="61"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_active(U16(mark(X)))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_active(U23(mark(X)))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_active(U32(mark(X)))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_active(U41(mark(X)))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_active(s(mark(X)))</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="60"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_active(U16(mark(X)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_active(U23(mark(X)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_active(U32(mark(X)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_active(U41(mark(X)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_active(s(mark(X)))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/><NODE ref="54"/><NODE ref="55"/><NODE ref="56"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U51(tt,N))</LHS><RHS>Marked_mark(U52(isNatKind(N),N))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/><NODE ref="54"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_active(U51(mark(X1),X2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U52(tt,N))</LHS><RHS>Marked_mark(N)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_active(U52(mark(X1),X2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U61(tt,M,N))</LHS><RHS>Marked_mark(U62(isNatKind(M),M,N))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(plus(N,s(M)))</LHS><RHS>Marked_mark(U61(isNat(M),M,N))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_active(plus(mark(X1),mark(X2)))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_active(U61(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(plus(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U62(X1,X2,X3))</LHS><RHS>Marked_active(U62(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U62(tt,M,N))</LHS><RHS>Marked_mark(U63(isNat(N),M,N))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U63(X1,X2,X3))</LHS><RHS>Marked_active(U63(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U63(tt,M,N))</LHS><RHS>Marked_mark(U64(isNatKind(N),M,N))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U64(X1,X2,X3))</LHS><RHS>Marked_active(U64(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U64(tt,M,N))</LHS><RHS>Marked_mark(s(plus(N,M)))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(isNat(s(V1)))</LHS><RHS>Marked_mark(U21(isNatKind(V1),V1))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(isNat(plus(V1,V2)))</LHS><RHS>Marked_mark(U11(isNatKind(V1),V1,V2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_active(isNat(X))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U22(tt,V1))</LHS><RHS>Marked_mark(U23(isNat(V1)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X1,X2))</LHS><RHS>Marked_active(U22(mark(X1),X2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U12(tt,V1,V2))</LHS><RHS>Marked_mark(U13(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U12(X1,X2,X3))</LHS><RHS>Marked_active(U12(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U11(tt,V1,V2))</LHS><RHS>Marked_mark(U12(isNatKind(V1),V1,V2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U11(X1,X2,X3))</LHS><RHS>Marked_active(U11(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U21(tt,V1))</LHS><RHS>Marked_mark(U22(isNatKind(V1),V1))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_active(U21(mark(X1),X2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U23(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(isNatKind(s(V1)))</LHS><RHS>Marked_mark(U41(isNatKind(V1)))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U13(tt,V1,V2))</LHS><RHS>Marked_mark(U14(isNatKind(V2),V1,V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U13(X1,X2,X3))</LHS><RHS>Marked_active(U13(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U14(tt,V1,V2))</LHS><RHS>Marked_mark(U15(isNat(V1),V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U14(X1,X2,X3))</LHS><RHS>Marked_active(U14(mark(X1),X2,X3))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(isNatKind(plus(V1,V2)))</LHS><RHS>Marked_mark(U31(isNatKind(V1),V2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_active(isNatKind(X))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_active(U15(tt,V2))</LHS><RHS>Marked_mark(U16(isNat(V2)))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_active(U15(mark(X1),X2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U41(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U15</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>plus</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U64</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_active</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U63</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U23</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>active</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_active(U31(mark(X1),X2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_active(U31(tt,V2))</LHS><RHS>Marked_mark(U32(isNatKind(V2)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="1"/><NODE ref="2"/></SCC><NONSCC num="1"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="0" start="1"/></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U16(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U15(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(X1,mark(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U11(X1,X2,mark(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U11(X1,active(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U11(X1,X2,active(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U11</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U11(X1,X2,active(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(X1,X2,mark(X3))</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(X1,active(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U11(X1,mark(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(X1,active(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U11(X1,mark(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U11</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U11(X1,mark(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(X1,active(X2),X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U11</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U11(active(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U11(mark(X1),X2,X3)</LHS><RHS>Marked_U11(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(X1,mark(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U12(X1,X2,mark(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U12(X1,active(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U12(X1,X2,active(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U12</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U12(X1,X2,active(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(X1,X2,mark(X3))</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U12(X1,active(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U12(X1,mark(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U12(X1,active(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U12(X1,mark(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U12</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U12(X1,mark(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(X1,active(X2),X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U12</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U12(active(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(mark(X1),X2,X3)</LHS><RHS>Marked_U12(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_isNatKind(mark(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNatKind(active(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_isNatKind</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNatKind(active(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNatKind(mark(X))</LHS><RHS>Marked_isNatKind(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(X1,mark(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(X1,X2,mark(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U13(X1,active(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U13(X1,X2,active(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U13</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U13(X1,X2,active(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(X1,X2,mark(X3))</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U13(X1,active(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(X1,mark(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U13(X1,active(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(X1,mark(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U13</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U13(X1,mark(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(X1,active(X2),X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U13</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U13(active(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U13(mark(X1),X2,X3)</LHS><RHS>Marked_U13(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(X1,mark(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U14(X1,X2,mark(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U14(X1,active(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U14(X1,X2,active(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U14</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U14(X1,X2,active(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(X1,X2,mark(X3))</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U14(X1,active(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U14(X1,mark(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U14(X1,active(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U14(X1,mark(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U14</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U14(X1,mark(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(X1,active(X2),X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U14</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U14(active(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U14(mark(X1),X2,X3)</LHS><RHS>Marked_U14(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U15(mark(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U15(X1,mark(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U15(active(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U15(X1,active(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U15</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U15(X1,active(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U15(X1,mark(X2))</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U15(active(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U15(mark(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U15(active(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U15(mark(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U15</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U15(mark(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U15(active(X1),X2)</LHS><RHS>Marked_U15(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_isNat(mark(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNat(active(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_isNat</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNat(active(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNat(mark(X))</LHS><RHS>Marked_isNat(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U16(mark(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U16(active(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U16</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U16(active(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U16(mark(X))</LHS><RHS>Marked_U16(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U21(mark(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U21(X1,mark(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U21(active(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U21(X1,active(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U21</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U21(X1,active(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U21(X1,mark(X2))</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U21(active(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U21(mark(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U21(active(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U21(mark(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U21</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U21(mark(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U21(active(X1),X2)</LHS><RHS>Marked_U21(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U22(mark(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U22(X1,mark(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U22(active(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U22(X1,active(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U22</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U22(X1,active(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U22(X1,mark(X2))</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U22(active(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U22(mark(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U22(active(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U22(mark(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U22</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U22(mark(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U22(active(X1),X2)</LHS><RHS>Marked_U22(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U23(mark(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U23(active(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U23</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U23(active(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U23(mark(X))</LHS><RHS>Marked_U23(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U31(mark(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U31(X1,mark(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U31(active(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U31(X1,active(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U31</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U31(X1,active(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U31(X1,mark(X2))</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U31(active(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U31(mark(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U31(active(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U31(mark(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U31</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U31(mark(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U31(active(X1),X2)</LHS><RHS>Marked_U31(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U32(mark(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U32(active(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U32</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U32(active(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U32(mark(X))</LHS><RHS>Marked_U32(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U41(mark(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U41(active(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U41</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U41(active(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U41(mark(X))</LHS><RHS>Marked_U41(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U51(mark(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U51(X1,mark(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U51(active(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U51(X1,active(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U51</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U51(X1,active(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U51(X1,mark(X2))</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U51(active(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U51(mark(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U51(active(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U51(mark(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U51</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U51(mark(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U51(active(X1),X2)</LHS><RHS>Marked_U51(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U52(mark(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U52(X1,mark(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U52(active(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U52(X1,active(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U52</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U52(X1,active(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U52(X1,mark(X2))</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U52(active(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U52(mark(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U52(active(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U52(mark(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U52</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U52(mark(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U52(active(X1),X2)</LHS><RHS>Marked_U52(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(X1,mark(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U61(X1,X2,mark(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U61(X1,active(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U61(X1,X2,active(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U61</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U61(X1,X2,active(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(X1,X2,mark(X3))</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U61(X1,active(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U61(X1,mark(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U61(X1,active(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U61(X1,mark(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U61</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U61(X1,mark(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(X1,active(X2),X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U61</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U61(active(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(mark(X1),X2,X3)</LHS><RHS>Marked_U61(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(X1,mark(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U62(X1,X2,mark(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U62(X1,active(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U62(X1,X2,active(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U62</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U62(X1,X2,active(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(X1,X2,mark(X3))</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U62(X1,active(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U62(X1,mark(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U62(X1,active(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U62(X1,mark(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U62</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U62(X1,mark(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(X1,active(X2),X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U62</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U62(active(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U62(mark(X1),X2,X3)</LHS><RHS>Marked_U62(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>active(tt)</RHS></RULE><RULE><LHS>mark(U12(X1,X2,X3))</LHS><RHS>active(U12(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>active(isNatKind(X))</RHS></RULE><RULE><LHS>mark(U13(X1,X2,X3))</LHS><RHS>active(U13(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U14(X1,X2,X3))</LHS><RHS>active(U14(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U15(X1,X2))</LHS><RHS>active(U15(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>active(isNat(X))</RHS></RULE><RULE><LHS>mark(U16(X))</LHS><RHS>active(U16(mark(X)))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>active(U21(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U22(X1,X2))</LHS><RHS>active(U22(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U23(X))</LHS><RHS>active(U23(mark(X)))</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>active(U31(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>active(U32(mark(X)))</RHS></RULE><RULE><LHS>mark(U41(X))</LHS><RHS>active(U41(mark(X)))</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>active(U51(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>active(U52(mark(X1),X2))</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>active(U61(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U62(X1,X2,X3))</LHS><RHS>active(U62(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U63(X1,X2,X3))</LHS><RHS>active(U63(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(U64(X1,X2,X3))</LHS><RHS>active(U64(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>active(s(mark(X)))</RHS></RULE><RULE><LHS>mark(plus(X1,X2))</LHS><RHS>active(plus(mark(X1),mark(X2)))</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>active(0)</RHS></RULE><RULE><LHS>U11(mark(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,mark(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,mark(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(active(X1),X2,X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,active(X2),X3)</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U11(X1,X2,active(X3))</LHS><RHS>U11(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(mark(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,mark(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,mark(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(active(X1),X2,X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,active(X2),X3)</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>U12(X1,X2,active(X3))</LHS><RHS>U12(X1,X2,X3)</RHS></RULE><RULE><LHS>isNatKind(mark(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>isNatKind(active(X))</LHS><RHS>isNatKind(X)</RHS></RULE><RULE><LHS>U13(mark(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,mark(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,mark(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(active(X1),X2,X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,active(X2),X3)</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U13(X1,X2,active(X3))</LHS><RHS>U13(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(mark(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,mark(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,mark(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(active(X1),X2,X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,active(X2),X3)</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U14(X1,X2,active(X3))</LHS><RHS>U14(X1,X2,X3)</RHS></RULE><RULE><LHS>U15(mark(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,mark(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(active(X1),X2)</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>U15(X1,active(X2))</LHS><RHS>U15(X1,X2)</RHS></RULE><RULE><LHS>isNat(mark(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>isNat(active(X))</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>U16(mark(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U16(active(X))</LHS><RHS>U16(X)</RHS></RULE><RULE><LHS>U21(mark(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,mark(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(active(X1),X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U21(X1,active(X2))</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>U22(mark(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,mark(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(active(X1),X2)</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U22(X1,active(X2))</LHS><RHS>U22(X1,X2)</RHS></RULE><RULE><LHS>U23(mark(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U23(active(X))</LHS><RHS>U23(X)</RHS></RULE><RULE><LHS>U31(mark(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,mark(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(active(X1),X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U31(X1,active(X2))</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>U32(mark(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U32(active(X))</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>U41(mark(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U41(active(X))</LHS><RHS>U41(X)</RHS></RULE><RULE><LHS>U51(mark(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,mark(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(active(X1),X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U51(X1,active(X2))</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>U52(mark(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,mark(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(active(X1),X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U52(X1,active(X2))</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>U61(mark(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,mark(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,mark(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(active(X1),X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,active(X2),X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U61(X1,X2,active(X3))</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(mark(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,mark(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,mark(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(active(X1),X2,X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,active(X2),X3)</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U62(X1,X2,active(X3))</LHS><RHS>U62(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(mark(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,mark(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,mark(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(active(X1),X2,X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,active(X2),X3)</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U63(X1,X2,active(X3))</LHS><RHS>U63(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(mark(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,mark(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,mark(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(active(X1),X2,X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,active(X2),X3)</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>U64(X1,X2,active(X3))</LHS><RHS>U64(X1,X2,X3)</RHS></RULE><RULE><LHS>s(mark(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>s(active(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>plus(mark(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,mark(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(active(X1),X2)</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>plus(X1,active(X2))</LHS><RHS>plus(X1,X2)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U63(mark(X1),X2,X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U63(X1,mark(X2),X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U63(X1,X2,mark(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U63(active(X1),X2,X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U63(X1,active(X2),X3)</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U63(X1,X2,active(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_U63</NAME></SYMBOL><INT>3</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U63(X1,X2,active(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U63(X1,X2,mark(X3))</LHS><RHS>Marked_U63(X1,X2,X3)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>active(U11(tt,V1,V2))</LHS><RHS>mark(U12(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(U12(tt,V1,V2))</LHS><RHS>mark(U13(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U13(tt,V1,V2))</LHS><RHS>mark(U14(isNatKind(V2),V1,V2))</RHS></RULE><RULE><LHS>active(U14(tt,V1,V2))</LHS><RHS>mark(U15(isNat(V1),V2))</RHS></RULE><RULE><LHS>active(U15(tt,V2))</LHS><RHS>mark(U16(isNat(V2)))</RHS></RULE><RULE><LHS>active(U16(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U21(tt,V1))</LHS><RHS>mark(U22(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(U22(tt,V1))</LHS><RHS>mark(U23(isNat(V1)))</RHS></RULE><RULE><LHS>active(U23(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U31(tt,V2))</LHS><RHS>mark(U32(isNatKind(V2)))</RHS></RULE><RULE><LHS>active(U32(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U41(tt))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(U51(tt,N))</LHS><RHS>mark(U52(isNatKind(N),N))</RHS></RULE><RULE><LHS>active(U52(tt,N))</LHS><RHS>mark(N)</RHS></RULE><RULE><LHS>active(U61(tt,M,N))</LHS><RHS>mark(U62(isNatKind(M),M,N))</RHS></RULE><RULE><LHS>active(U62(tt,M,N))</LHS><RHS>mark(U63(isNat(N),M,N))</RHS></RULE><RULE><LHS>active(U63(tt,M,N))</LHS><RHS>mark(U64(isNatKind(N),M,N))</RHS></RULE><RULE><LHS>active(U64(tt,M,N))</LHS><RHS>mark(s(plus(N,M)))</RHS></RULE><RULE><LHS>active(isNat(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNat(plus(V1,V2)))</LHS><RHS>mark(U11(isNatKind(V1),V1,V2))</RHS></RULE><RULE><LHS>active(isNat(s(V1)))</LHS><RHS>mark(U21(isNatKind(V1),V1))</RHS></RULE><RULE><LHS>active(isNatKind(0))</LHS><RHS>mark(tt)</RHS></RULE><RULE><LHS>active(isNatKind(plus(V1,V2)))</LHS><RHS>mark(U31(isNatKind(V1),V2))</RHS></RULE><RULE><LHS>active(isNatKind(s(V1)))</LHS><RHS>mark(U41(isNatKind(V1)))</RHS></RULE><RULE><LHS>active(plus(N,0))</LHS><RHS>mark(U51(isNat(N),N))</RHS></RULE><RULE><LHS>active(plus(N,s(M)))</LHS><RHS>mark(U61(isNat(M),M,N))</RHS></RULE><RULE><LHS>mark(U11(X1,X2,X3))</LHS><RHS>active(U11(mark(X1),X2,X3))</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>act
