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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="3" unmarked="U83"><NAME>Marked_U83</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U71</NAME></SYMBOL><SYMBOL arity="2" unmarked="plus"><NAME>Marked_plus</NAME></SYMBOL><SYMBOL arity="3" unmarked="U12"><NAME>Marked_U12</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U16</NAME></SYMBOL><SYMBOL arity="2" unmarked="U61"><NAME>Marked_U61</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U35</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="3" unmarked="U33"><NAME>Marked_U33</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U104</NAME></SYMBOL><SYMBOL arity="2" unmarked="U21"><NAME>Marked_U21</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U51</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>n__x</NAME></SYMBOL><SYMBOL arity="1" unmarked="U16"><NAME>Marked_U16</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U11</NAME></SYMBOL><SYMBOL arity="2" unmarked="U91"><NAME>Marked_U91</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U32</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U84</NAME></SYMBOL><SYMBOL arity="1" unmarked="U42"><NAME>Marked_U42</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U101</NAME></SYMBOL><SYMBOL arity="1" unmarked="U92"><NAME>Marked_U92</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U61</NAME></SYMBOL><SYMBOL arity="2" unmarked="x"><NAME>Marked_x</NAME></SYMBOL><SYMBOL arity="3" unmarked="U14"><NAME>Marked_U14</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U14</NAME></SYMBOL><SYMBOL arity="2" unmarked="U71"><NAME>Marked_U71</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U33</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U92</NAME></SYMBOL><SYMBOL arity="2" unmarked="U35"><NAME>Marked_U35</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U103</NAME></SYMBOL><SYMBOL arity="2" unmarked="U41"><NAME>Marked_U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U42</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>n__plus</NAME></SYMBOL><SYMBOL arity="1" unmarked="U23"><NAME>Marked_U23</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>x</NAME></SYMBOL><SYMBOL arity="3" unmarked="U101"><NAME>Marked_U101</NAME></SYMBOL><SYMBOL arity="3" unmarked="U103"><NAME>Marked_U103</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U21</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U81</NAME></SYMBOL><SYMBOL arity="2" unmarked="U72"><NAME>Marked_U72</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatKind</NAME></SYMBOL><SYMBOL arity="3" unmarked="U84"><NAME>Marked_U84</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U72</NAME></SYMBOL><SYMBOL arity="1" unmarked="s"><NAME>Marked_s</NAME></SYMBOL><SYMBOL arity="3" unmarked="U13"><NAME>Marked_U13</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U15</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNatKind"><NAME>Marked_isNatKind</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U34</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U91</NAME></SYMBOL><SYMBOL arity="3" unmarked="U34"><NAME>Marked_U34</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNat</NAME></SYMBOL><SYMBOL arity="3" unmarked="U31"><NAME>Marked_U31</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>n__s</NAME></SYMBOL><SYMBOL arity="2" unmarked="U22"><NAME>Marked_U22</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U12</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNat"><NAME>Marked_isNat</NAME></SYMBOL><SYMBOL arity="3" unmarked="U102"><NAME>Marked_U102</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U23</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U83</NAME></SYMBOL><SYMBOL arity="1" unmarked="U62"><NAME>Marked_U62</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>activate</NAME></SYMBOL><SYMBOL arity="3" unmarked="U11"><NAME>Marked_U11</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U62</NAME></SYMBOL><SYMBOL arity="1" unmarked="activate"><NAME>Marked_activate</NAME></SYMBOL><SYMBOL arity="2" unmarked="U15"><NAME>Marked_U15</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U13</NAME></SYMBOL><SYMBOL arity="3" unmarked="U81"><NAME>Marked_U81</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U31</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="1" unmarked="U36"><NAME>Marked_U36</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="1" unmarked="U51"><NAME>Marked_U51</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U36</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__0</NAME></SYMBOL><SYMBOL arity="3" unmarked="U32"><NAME>Marked_U32</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>plus</NAME></SYMBOL><SYMBOL arity="0" unmarked="0"><NAME>Marked_0</NAME></SYMBOL><SYMBOL arity="3" unmarked="U104"><NAME>Marked_U104</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U22</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U82</NAME></SYMBOL><SYMBOL arity="3" unmarked="U82"><NAME>Marked_U82</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U102</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X</VAR><VAR>X2</VAR><VAR>X1</VAR><VAR>V2</VAR><VAR>V1</VAR><VAR>N</VAR><VAR>M</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_U103(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_plus(x(activate(N),activate(M)),activate(N))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_x(activate(N),activate(M))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_U16(isNat(activate(V2)))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_U22(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="44"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_U23(isNat(activate(V1)))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="50"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="51"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="55"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="56"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="60"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="61"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="62"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="63"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="64"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_U35(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="65"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="66"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="67"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="68"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_U36(isNat(activate(V2)))</RHS></DPRULE><DPRULE num="69"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="70"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="71"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_U42(isNatKind(activate(V2)))</RHS></DPRULE><DPRULE num="72"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="73"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="74"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_U62(isNatKind(activate(V2)))</RHS></DPRULE><DPRULE num="75"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="76"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="77"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_U72(isNatKind(activate(N)),activate(N))</RHS></DPRULE><DPRULE num="78"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="79"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="80"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="81"><LHS>Marked_U72(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="82"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="83"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="84"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="85"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="86"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="87"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_U83(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="88"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="89"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="90"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="91"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="92"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="93"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="94"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="95"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="96"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="97"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_s(plus(activate(N),activate(M)))</RHS></DPRULE><DPRULE num="98"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_plus(activate(N),activate(M))</RHS></DPRULE><DPRULE num="99"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="100"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="101"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_U92(isNatKind(activate(N)))</RHS></DPRULE><DPRULE num="102"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="103"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="104"><LHS>Marked_U92(tt)</LHS><RHS>Marked_0</RHS></DPRULE><DPRULE num="105"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="106"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="107"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="108"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="109"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="110"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_U21(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="111"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="112"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="113"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="114"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="115"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="116"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="117"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="118"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="119"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="120"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="121"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="122"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="123"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_U51(isNatKind(activate(V1)))</RHS></DPRULE><DPRULE num="124"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="125"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="126"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_U61(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="127"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="128"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="129"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="130"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_U71(isNat(N),N)</RHS></DPRULE><DPRULE num="131"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="132"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_U81(isNat(M),M,N)</RHS></DPRULE><DPRULE num="133"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="134"><LHS>Marked_x(N,0)</LHS><RHS>Marked_U91(isNat(N),N)</RHS></DPRULE><DPRULE num="135"><LHS>Marked_x(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="136"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_U101(isNat(M),M,N)</RHS></DPRULE><DPRULE num="137"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="138"><LHS>Marked_activate(n__0)</LHS><RHS>Marked_0</RHS></DPRULE><DPRULE num="139"><LHS>Marked_activate(n__plus(X1,X2))</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="140"><LHS>Marked_activate(n__s(X))</LHS><RHS>Marked_s(X)</RHS></DPRULE><DPRULE num="141"><LHS>Marked_activate(n__x(X1,X2))</LHS><RHS>Marked_x(X1,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="2"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="7"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="12"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="17"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="22"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="27"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="32"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="44"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="51"/><NODE ref="53"/><NODE ref="54"/><NODE ref="55"/><NODE ref="56"/><NODE ref="57"/><NODE ref="56"/><NODE ref="59"/><NODE ref="60"/><NODE ref="61"/><NODE ref="62"/><NODE ref="61"/><NODE ref="64"/><NODE ref="65"/><NODE ref="66"/><NODE ref="67"/><NODE ref="69"/><NODE ref="70"/><NODE ref="72"/><NODE ref="73"/><NODE ref="75"/><NODE ref="76"/><NODE ref="77"/><NODE ref="78"/><NODE ref="79"/><NODE ref="79"/><NODE ref="81"/><NODE ref="82"/><NODE ref="83"/><NODE ref="84"/><NODE ref="84"/><NODE ref="86"/><NODE ref="87"/><NODE ref="88"/><NODE ref="89"/><NODE ref="90"/><NODE ref="89"/><NODE ref="92"/><NODE ref="93"/><NODE ref="94"/><NODE ref="95"/><NODE ref="94"/><NODE ref="98"/><NODE ref="99"/><NODE ref="100"/><NODE ref="102"/><NODE ref="103"/><NODE ref="105"/><NODE ref="106"/><NODE ref="107"/><NODE ref="107"/><NODE ref="109"/><NODE ref="110"/><NODE ref="111"/><NODE ref="112"/><NODE ref="112"/><NODE ref="114"/><NODE ref="115"/><NODE ref="116"/><NODE ref="116"/><NODE ref="118"/><NODE ref="119"/><NODE ref="120"/><NODE ref="121"/><NODE ref="122"/><NODE ref="124"/><NODE ref="125"/><NODE ref="126"/><NODE ref="127"/><NODE ref="128"/><NODE ref="129"/><NODE ref="130"/><NODE ref="131"/><NODE ref="132"/><NODE ref="133"/><NODE ref="134"/><NODE ref="135"/><NODE ref="136"/><NODE ref="137"/><NODE ref="139"/><NODE ref="141"/></SCC><NONSCC num="1"><NODE ref="140"/></NONSCC><NONSCC num="2"><NODE ref="138"/></NONSCC><NONSCC num="3"><NODE ref="101"/></NONSCC><NONSCC num="4"><NODE ref="123"/></NONSCC><NONSCC num="5"><NODE ref="74"/></NONSCC><NONSCC num="6"><NODE ref="71"/></NONSCC><NONSCC num="7"><NODE ref="104"/></NONSCC><NONSCC num="8"><NODE ref="97"/></NONSCC><NONSCC num="9"><NODE ref="68"/></NONSCC><NONSCC num="10"><NODE ref="46"/></NONSCC><NONSCC num="11"><NODE ref="39"/></NONSCC></CCLIST><EDGE end="11" start="0"/><EDGE end="10" start="0"/><EDGE end="9" start="0"/><EDGE end="8" start="0"/><EDGE end="6" start="0"/><EDGE end="5" start="0"/><EDGE end="4" start="0"/><EDGE end="3" start="0"/><EDGE end="2" start="0"/><EDGE end="1" start="0"/><EDGE end="7" start="3"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_U103(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_plus(x(activate(N),activate(M)),activate(N))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_x(activate(N),activate(M))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="40"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_U22(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="49"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="54"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="58"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="59"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="60"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="62"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_U35(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="63"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="64"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="65"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="66"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="67"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="68"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="69"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="70"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="71"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="72"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_U72(isNatKind(activate(N)),activate(N))</RHS></DPRULE><DPRULE num="73"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="74"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="75"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="76"><LHS>Marked_U72(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="77"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="78"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="79"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="80"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="81"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="82"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_U83(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="83"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="84"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="85"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="86"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="87"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="88"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="89"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="90"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="91"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="92"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_plus(activate(N),activate(M))</RHS></DPRULE><DPRULE num="93"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="94"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="95"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="96"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="97"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="98"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="99"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="100"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="101"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="102"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_U21(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="103"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="104"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="105"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="106"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="107"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="108"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="109"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="110"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="111"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="112"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="113"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="114"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="115"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="116"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="117"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_U61(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="118"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="119"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="120"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="121"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_U71(isNat(N),N)</RHS></DPRULE><DPRULE num="122"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="123"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_U81(isNat(M),M,N)</RHS></DPRULE><DPRULE num="124"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="125"><LHS>Marked_x(N,0)</LHS><RHS>Marked_U91(isNat(N),N)</RHS></DPRULE><DPRULE num="126"><LHS>Marked_x(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="127"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_U101(isNat(M),M,N)</RHS></DPRULE><DPRULE num="128"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="129"><LHS>Marked_activate(n__plus(X1,X2))</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="130"><LHS>Marked_activate(n__x(X1,X2))</LHS><RHS>Marked_x(X1,X2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>U102</NAME></SYMBOL><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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U82</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>U82</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="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>Marked_U104</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>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>Marked_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="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>n__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>U36</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>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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U81</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>U13</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U15</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>Marked_activate</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>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U11</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>activate</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>U83</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="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>Marked_U102</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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_isNat</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U31</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>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U34</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>U91</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>U34</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_isNatKind</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>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U13</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>U72</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_U84</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>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U72</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>U81</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="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>Marked_U103</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U101</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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>x</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="0"/><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>n__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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U103</NAME></SYMBOL><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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U35</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>U92</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>U33</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U71</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>U14</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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="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>Marked_x</NAME></SYMBOL><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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></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>U101</NAME></SYMBOL><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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U84</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="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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U91</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>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__x</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="0"/><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>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>U104</NAME></SYMBOL><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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U33</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>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>U35</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U16</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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="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>Marked_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>U71</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_U83</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_U103(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U102(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_plus(x(activate(N),activate(M)),activate(N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_x(activate(N),activate(M))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_plus(activate(N),activate(M))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_U21(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_isNat(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_isNatKind(n__s(V1))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_U81(isNat(M),M,N)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_plus(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_isNat(M)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_activate(n__plus(X1,X2))</LHS><RHS>Marked_plus(X1,X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_activate(n__x(X1,X2))</LHS><RHS>Marked_x(X1,X2)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U101(tt,M,N)</LHS><RHS>Marked_U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U103(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U104(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_U22(isNatKind(activate(V1)),activate(V1))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_U21(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_U22(tt,V1)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="37"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="38"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="42"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="47"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="48"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_U35(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="52"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="53"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="56"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="58"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="60"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_U72(isNatKind(activate(N)),activate(N))</RHS></DPRULE><DPRULE num="62"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="63"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="64"><LHS>Marked_U71(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="65"><LHS>Marked_U72(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="66"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="67"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(M))</RHS></DPRULE><DPRULE num="68"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="69"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="70"><LHS>Marked_U81(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="71"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_U83(isNat(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="72"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_isNat(activate(N))</RHS></DPRULE><DPRULE num="73"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="74"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="75"><LHS>Marked_U82(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="76"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></DPRULE><DPRULE num="77"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="78"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="79"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="80"><LHS>Marked_U83(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="81"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="82"><LHS>Marked_U84(tt,M,N)</LHS><RHS>Marked_activate(M)</RHS></DPRULE><DPRULE num="83"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_isNatKind(activate(N))</RHS></DPRULE><DPRULE num="84"><LHS>Marked_U91(tt,N)</LHS><RHS>Marked_activate(N)</RHS></DPRULE><DPRULE num="85"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="86"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="87"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="88"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="89"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="90"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="91"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="92"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="93"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="94"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="95"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="96"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="97"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="98"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="99"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_U61(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="100"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="101"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="102"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="103"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_U71(isNat(N),N)</RHS></DPRULE><DPRULE num="104"><LHS>Marked_plus(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="105"><LHS>Marked_x(N,0)</LHS><RHS>Marked_U91(isNat(N),N)</RHS></DPRULE><DPRULE num="106"><LHS>Marked_x(N,0)</LHS><RHS>Marked_isNat(N)</RHS></DPRULE><DPRULE num="107"><LHS>Marked_x(N,s(M))</LHS><RHS>Marked_U101(isNat(M),M,N)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="107"/></NONSCC><NONSCC num="1"><NODE ref="0"/></NONSCC><NONSCC num="2"><NODE ref="106"/></NONSCC><NONSCC num="3"><NODE ref="94"/></NONSCC><NONSCC num="4"><NODE ref="92"/></NONSCC><NONSCC num="5"><NODE ref="91"/></NONSCC><SCC num="6"><NODE ref="9"/><NODE ref="14"/><NODE ref="19"/><NODE ref="24"/><NODE ref="25"/><NODE ref="28"/><NODE ref="36"/><NODE ref="41"/><NODE ref="46"/><NODE ref="51"/><NODE ref="52"/><NODE ref="55"/><NODE ref="85"/><NODE ref="90"/></SCC><NONSCC num="7"><NODE ref="89"/></NONSCC><NONSCC num="8"><NODE ref="87"/></NONSCC><NONSCC num="9"><NODE ref="86"/></NONSCC><NONSCC num="10"><NODE ref="105"/></NONSCC><NONSCC num="11"><NODE ref="84"/></NONSCC><NONSCC num="12"><NODE ref="83"/></NONSCC><NONSCC num="13"><NODE ref="104"/></NONSCC><NONSCC num="14"><NODE ref="103"/></NONSCC><NONSCC num="15"><NODE ref="63"/></NONSCC><NONSCC num="16"><NODE ref="62"/></NONSCC><NONSCC num="17"><NODE ref="61"/></NONSCC><NONSCC num="18"><NODE ref="102"/></NONSCC><NONSCC num="19"><NODE ref="101"/></NONSCC><SCC num="20"><NODE ref="57"/><NODE ref="59"/><NODE ref="95"/><NODE ref="96"/><NODE ref="99"/><NODE ref="100"/></SCC><NONSCC num="21"><NODE ref="98"/></NONSCC><NONSCC num="22"><NODE ref="97"/></NONSCC><NONSCC num="23"><NODE ref="60"/></NONSCC><NONSCC num="24"><NODE ref="58"/></NONSCC><NONSCC num="25"><NODE ref="40"/></NONSCC><NONSCC num="26"><NODE ref="38"/></NONSCC><NONSCC num="27"><NODE ref="37"/></NONSCC><NONSCC num="28"><NODE ref="13"/></NONSCC><NONSCC num="29"><NODE ref="11"/></NONSCC><NONSCC num="30"><NODE ref="10"/></NONSCC><NONSCC num="31"><NODE ref="82"/></NONSCC><NONSCC num="32"><NODE ref="81"/></NONSCC><NONSCC num="33"><NODE ref="78"/></NONSCC><NONSCC num="34"><NODE ref="79"/></NONSCC><NONSCC num="35"><NODE ref="77"/></NONSCC><NONSCC num="36"><NODE ref="76"/></NONSCC><NONSCC num="37"><NODE ref="73"/></NONSCC><NONSCC num="38"><NODE ref="74"/></NONSCC><NONSCC num="39"><NODE ref="72"/></NONSCC><NONSCC num="40"><NODE ref="71"/></NONSCC><NONSCC num="41"><NODE ref="70"/></NONSCC><NONSCC num="42"><NODE ref="68"/></NONSCC><NONSCC num="43"><NODE ref="67"/></NONSCC><NONSCC num="44"><NODE ref="66"/></NONSCC><NONSCC num="45"><NODE ref="65"/></NONSCC><NONSCC num="46"><NODE ref="56"/></NONSCC><NONSCC num="47"><NODE ref="54"/></NONSCC><NONSCC num="48"><NODE ref="53"/></NONSCC><NONSCC num="49"><NODE ref="48"/></NONSCC><NONSCC num="50"><NODE ref="49"/></NONSCC><NONSCC num="51"><NODE ref="47"/></NONSCC><NONSCC num="52"><NODE ref="43"/></NONSCC><NONSCC num="53"><NODE ref="44"/></NONSCC><NONSCC num="54"><NODE ref="42"/></NONSCC><NONSCC num="55"><NODE ref="35"/></NONSCC><NONSCC num="56"><NODE ref="34"/></NONSCC><NONSCC num="57"><NODE ref="32"/></NONSCC><NONSCC num="58"><NODE ref="31"/></NONSCC><NONSCC num="59"><NODE ref="30"/></NONSCC><NONSCC num="60"><NODE ref="29"/></NONSCC><NONSCC num="61"><NODE ref="27"/></NONSCC><NONSCC num="62"><NODE ref="26"/></NONSCC><NONSCC num="63"><NODE ref="21"/></NONSCC><NONSCC num="64"><NODE ref="22"/></NONSCC><NONSCC num="65"><NODE ref="20"/></NONSCC><NONSCC num="66"><NODE ref="16"/></NONSCC><NONSCC num="67"><NODE ref="17"/></NONSCC><NONSCC num="68"><NODE ref="15"/></NONSCC><NONSCC num="69"><NODE ref="6"/></NONSCC><NONSCC num="70"><NODE ref="7"/></NONSCC><NONSCC num="71"><NODE ref="3"/></NONSCC><NONSCC num="72"><NODE ref="4"/></NONSCC><NONSCC num="73"><NODE ref="2"/></NONSCC><NONSCC num="74"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="1" start="0"/><EDGE end="9" start="2"/><EDGE end="8" start="2"/><EDGE end="7" start="2"/><EDGE end="6" start="2"/><EDGE end="5" start="2"/><EDGE end="4" start="2"/><EDGE end="3" start="2"/><EDGE end="22" start="5"/><EDGE end="21" start="5"/><EDGE end="20" start="5"/><EDGE end="19" start="5"/><EDGE end="18" start="5"/><EDGE end="68" start="6"/><EDGE end="67" start="6"/><EDGE end="66" start="6"/><EDGE end="65" start="6"/><EDGE end="64" start="6"/><EDGE end="63" start="6"/><EDGE end="62" start="6"/><EDGE end="61" start="6"/><EDGE end="60" start="6"/><EDGE end="54" start="6"/><EDGE end="53" start="6"/><EDGE end="52" start="6"/><EDGE end="51" start="6"/><EDGE end="50" start="6"/><EDGE end="49" start="6"/><EDGE end="48" start="6"/><EDGE end="47" start="6"/><EDGE end="46" start="6"/><EDGE end="30" start="6"/><EDGE end="29" start="6"/><EDGE end="28" start="6"/><EDGE end="27" start="6"/><EDGE end="26" start="6"/><EDGE end="25" start="6"/><EDGE end="9" start="6"/><EDGE end="8" start="6"/><EDGE end="7" start="6"/><EDGE end="5" start="6"/><EDGE end="4" start="6"/><EDGE end="3" start="6"/><EDGE end="22" start="9"/><EDGE end="21" start="9"/><EDGE end="20" start="9"/><EDGE end="19" start="9"/><EDGE end="18" start="9"/><EDGE end="12" start="10"/><EDGE end="11" start="10"/><EDGE end="22" start="12"/><EDGE end="21" start="12"/><EDGE end="20" start="12"/><EDGE end="19" start="12"/><EDGE end="18" start="12"/><EDGE end="9" start="13"/><EDGE end="8" start="13"/><EDGE end="7" start="13"/><EDGE end="6" start="13"/><EDGE end="5" start="13"/><EDGE end="4" start="13"/><EDGE end="3" start="13"/><EDGE end="17" start="14"/><EDGE end="16" start="14"/><EDGE end="15" start="14"/><EDGE end="22" start="16"/><EDGE end="21" start="16"/><EDGE end="20" start="16"/><EDGE end="19" start="16"/><EDGE end="18" start="16"/><EDGE end="45" start="17"/><EDGE end="24" start="20"/><EDGE end="23" start="20"/><EDGE end="22" start="20"/><EDGE end="21" start="20"/><EDGE end="19" start="20"/><EDGE end="18" start="20"/><EDGE end="22" start="27"/><EDGE end="21" start="27"/><EDGE end="20" start="27"/><EDGE end="19" start="27"/><EDGE end="18" start="27"/><EDGE end="22" start="30"/><EDGE end="21" start="30"/><EDGE end="20" start="30"/><EDGE end="19" start="30"/><EDGE end="18" start="30"/><EDGE end="22" start="35"/><EDGE end="21" start="35"/><EDGE end="20" start="35"/><EDGE end="19" start="35"/><EDGE end="18" start="35"/><EDGE end="32" start="36"/><EDGE end="31" start="36"/><EDGE end="9" start="39"/><EDGE end="8" start="39"/><EDGE end="7" start="39"/><EDGE end="6" start="39"/><EDGE end="5" start="39"/><EDGE end="4" start="39"/><EDGE end="3" start="39"/><EDGE end="36" start="40"/><EDGE end="35" start="40"/><EDGE end="34" start="40"/><EDGE end="33" start="40"/><EDGE end="22" start="43"/><EDGE end="21" start="43"/><EDGE end="20" start="43"/><EDGE end="19" start="43"/><EDGE end="18" start="43"/><EDGE end="40" start="44"/><EDGE end="39" start="44"/><EDGE end="38" start="44"/><EDGE end="37" start="44"/><EDGE end="22" start="51"/><EDGE end="21" start="51"/><EDGE end="20" start="51"/><EDGE end="19" start="51"/><EDGE end="18" start="51"/><EDGE end="22" start="54"/><EDGE end="21" start="54"/><EDGE end="20" start="54"/><EDGE end="19" start="54"/><EDGE end="18" start="54"/><EDGE end="9" start="56"/><EDGE end="8" start="56"/><EDGE end="7" start="56"/><EDGE end="6" start="56"/><EDGE end="5" start="56"/><EDGE end="4" start="56"/><EDGE end="3" start="56"/><EDGE end="22" start="58"/><EDGE end="21" start="58"/><EDGE end="20" start="58"/><EDGE end="19" start="58"/><EDGE end="18" start="58"/><EDGE end="56" start="59"/><EDGE end="55" start="59"/><EDGE end="22" start="65"/><EDGE end="21" start="65"/><EDGE end="20" start="65"/><EDGE end="19" start="65"/><EDGE end="18" start="65"/><EDGE end="22" start="68"/><EDGE end="21" start="68"/><EDGE end="20" start="68"/><EDGE end="19" start="68"/><EDGE end="18" start="68"/><EDGE end="22" start="73"/><EDGE end="21" start="73"/><EDGE end="20" start="73"/><EDGE end="19" start="73"/><EDGE end="18" start="73"/><EDGE end="70" start="74"/><EDGE end="69" start="74"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_U35(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>U102</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U82</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><MONOME><COEF><INT>0</INT></COEF></MONOME></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>Marked_U32</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U36</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>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><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>Marked_U15</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>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>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>activate</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>U83</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U31</NAME></SYMBOL><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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U34</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>U91</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>U34</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>Marked_U13</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>U72</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>U81</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>x</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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U103</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U35</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>U92</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>U33</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>Marked_U14</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U101</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U84</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><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>n__x</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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U104</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>Marked_U33</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U35</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>Marked_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>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>U71</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNat(n__x(V1,V2))</LHS><RHS>Marked_U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_U31(tt,V1,V2)</LHS><RHS>Marked_U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_U32(tt,V1,V2)</LHS><RHS>Marked_U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_U33(tt,V1,V2)</LHS><RHS>Marked_U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_U35(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_U34(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_U35(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</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="12"/></SCC><NONSCC num="1"><NODE ref="11"/></NONSCC><NONSCC num="2"><NODE ref="10"/></NONSCC><NONSCC num="3"><NODE ref="9"/></NONSCC><NONSCC num="4"><NODE ref="8"/></NONSCC><NONSCC num="5"><NODE ref="7"/></NONSCC><NONSCC num="6"><NODE ref="6"/></NONSCC></CCLIST><EDGE end="0" start="1"/><EDGE end="0" start="2"/><EDGE end="1" start="3"/><EDGE end="3" start="4"/><EDGE end="2" start="4"/><EDGE end="4" start="5"/><EDGE end="5" start="6"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>U102</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U82</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="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>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>n__0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U36</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>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><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>Marked_U15</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>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>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>activate</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>U83</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="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>Marked_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>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U41</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>U91</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U34</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>Marked_U13</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>U72</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>U81</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="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>x</NAME></SYMBOL><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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U103</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U92</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U33</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>Marked_U14</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U101</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U84</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="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><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>n__x</NAME></SYMBOL><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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U104</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U35</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>Marked_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>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>U71</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNat(n__plus(V1,V2))</LHS><RHS>Marked_U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U11(tt,V1,V2)</LHS><RHS>Marked_U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U12(tt,V1,V2)</LHS><RHS>Marked_U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_U13(tt,V1,V2)</LHS><RHS>Marked_U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_U15(isNat(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_U14(tt,V1,V2)</LHS><RHS>Marked_isNat(activate(V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_U15(tt,V2)</LHS><RHS>Marked_isNat(activate(V2))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="5"/></NONSCC><NONSCC num="1"><NODE ref="4"/></NONSCC><NONSCC num="2"><NODE ref="3"/></NONSCC><NONSCC num="3"><NODE ref="2"/></NONSCC><NONSCC num="4"><NODE ref="1"/></NONSCC><NONSCC num="5"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="0" start="2"/><EDGE end="2" start="3"/><EDGE end="1" start="3"/><EDGE end="3" start="4"/><EDGE end="4" start="5"/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_U61(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>U102</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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/><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>U82</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><MONOME><COEF><INT>0</INT></COEF></MONOME></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>n__0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U36</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>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><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>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>activate</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>U83</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><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>n__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>U41</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>U91</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U34</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U72</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>U81</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>x</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U41</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>U103</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/><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>U92</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U33</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>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U101</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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/><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>U84</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><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>n__x</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U104</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/><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>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U35</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U61</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U71</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_U61(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNatKind(n__x(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_U61(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="2"/><NODE ref="3"/></SCC><NONSCC num="1"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="0" start="1"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>U102</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U82</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="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>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>n__0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U36</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>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><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>U62</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>activate</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>U83</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="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>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U41</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>U91</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U34</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_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>U15</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U72</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>U81</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="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>x</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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_U41</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>U103</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U92</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U33</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>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U101</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>U84</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="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><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>n__x</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="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U104</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><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>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U35</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>U71</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_U41(isNatKind(activate(V1)),activate(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isNatKind(n__plus(V1,V2))</LHS><RHS>Marked_isNatKind(activate(V1))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>U101(tt,M,N)</LHS><RHS>U102(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U102(tt,M,N)</LHS><RHS>U103(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U103(tt,M,N)</LHS><RHS>U104(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U104(tt,M,N)</LHS><RHS>plus(x(activate(N),activate(M)),activate(N))</RHS></RULE><RULE><LHS>U11(tt,V1,V2)</LHS><RHS>U12(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U12(tt,V1,V2)</LHS><RHS>U13(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U13(tt,V1,V2)</LHS><RHS>U14(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U14(tt,V1,V2)</LHS><RHS>U15(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U15(tt,V2)</LHS><RHS>U16(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U16(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U21(tt,V1)</LHS><RHS>U22(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>U22(tt,V1)</LHS><RHS>U23(isNat(activate(V1)))</RHS></RULE><RULE><LHS>U23(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U31(tt,V1,V2)</LHS><RHS>U32(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U32(tt,V1,V2)</LHS><RHS>U33(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U33(tt,V1,V2)</LHS><RHS>U34(isNatKind(activate(V2)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>U34(tt,V1,V2)</LHS><RHS>U35(isNat(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>U35(tt,V2)</LHS><RHS>U36(isNat(activate(V2)))</RHS></RULE><RULE><LHS>U36(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U41(tt,V2)</LHS><RHS>U42(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U51(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U61(tt,V2)</LHS><RHS>U62(isNatKind(activate(V2)))</RHS></RULE><RULE><LHS>U62(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>U71(tt,N)</LHS><RHS>U72(isNatKind(activate(N)),activate(N))</RHS></RULE><RULE><LHS>U72(tt,N)</LHS><RHS>activate(N)</RHS></RULE><RULE><LHS>U81(tt,M,N)</LHS><RHS>U82(isNatKind(activate(M)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U82(tt,M,N)</LHS><RHS>U83(isNat(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U83(tt,M,N)</LHS><RHS>U84(isNatKind(activate(N)),activate(M),activate(N))</RHS></RULE><RULE><LHS>U84(tt,M,N)</LHS><RHS>s(plus(activate(N),activate(M)))</RHS></RULE><RULE><LHS>U91(tt,N)</LHS><RHS>U92(isNatKind(activate(N)))</RHS></RULE><RULE><LHS>U92(tt)</LHS><RHS>0</RHS></RULE><RULE><LHS>isNat(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNat(n__plus(V1,V2))</LHS><RHS>U11(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNat(n__s(V1))</LHS><RHS>U21(isNatKind(activate(V1)),activate(V1))</RHS></RULE><RULE><LHS>isNat(n__x(V1,V2))</LHS><RHS>U31(isNatKind(activate(V1)),activate(V1),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isNatKind(n__plus(V1,V2))</LHS><RHS>U41(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>isNatKind(n__s(V1))</LHS><RHS>U51(isNatKind(activate(V1)))</RHS></RULE><RULE><LHS>isNatKind(n__x(V1,V2))</LHS><RHS>U61(isNatKind(activate(V1)),activate(V2))</RHS></RULE><RULE><LHS>plus(N,0)</LHS><RHS>U71(isNat(N),N)</RHS></RULE><RULE><LHS>plus(N,s(M))</LHS><RHS>U81(isNat(M),M,N)</RHS></RULE><RULE><LHS>x(N,0)</LHS><RHS>U91(isNat(N),N)</RHS></RULE><RULE><LHS>x(N,s(M))</LHS><RHS>U101(isNat(M),M,N)</RHS></RULE><RULE><LHS>0</LHS><RHS>n__0</RHS></RULE><RULE><LHS>plus(X1,X2)</LHS><RHS>n__plus(X1,X2)</RHS></RULE><RULE><LHS>s(X)</LHS><RHS>n__s(X)</RHS></RULE><RULE><LHS>x(X1,X2)</LHS><RHS>n__x(X1,X2)</RHS></RULE><RULE><LHS>activate(n__0)</LHS><RHS>0</RHS></RULE><RULE><LHS>activate(n__plus(X1,X2))</LHS><RHS>plus(X1,X2)</RHS></RULE><RULE><LHS>activate(n__s(X))</LHS><RHS>s(X)</RHS></RULE><RULE><LHS>activate(n__x(X1,X2))</LHS><RHS>x(X1,X2)</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_U41(tt,V2)</LHS><RHS>Marked_isNatKind(activate(V2))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
