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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="3" unmarked=""><NAME>Cons_sum</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>Sum_term_var</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>Term_inr</NAME></SYMBOL><SYMBOL arity="2" unmarked="Sum_sub"><NAME>Marked_Sum_sub</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>Case</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>Id</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>Left</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>Term_pair</NAME></SYMBOL><SYMBOL arity="2" unmarked="Concat"><NAME>Marked_Concat</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>Sum_sub</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>Cons_usual</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>Right</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>Term_inl</NAME></SYMBOL><SYMBOL arity="2" unmarked="Term_sub"><NAME>Marked_Term_sub</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>Term_sub</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>Term_var</NAME></SYMBOL><SYMBOL arity="4" unmarked="Frozen"><NAME>Marked_Frozen</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>Sum_constant</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>Term_app</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>Concat</NAME></SYMBOL><SYMBOL arity="4" unmarked=""><NAME>Frozen</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>m</VAR><VAR>xi</VAR><VAR>n</VAR><VAR>s</VAR><VAR>t</VAR><VAR>u</VAR><VAR>x</VAR><VAR>y</VAR><VAR>psi</VAR><VAR>k</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Case(m,xi,n),s)</LHS><RHS>Marked_Frozen(m,Sum_sub(xi,s),n,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Term_sub(Case(m,xi,n),s)</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_Term_sub(Term_inl(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_Term_sub(Term_inr(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Term_sub(m,t)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="14"/><NODE ref="15"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/></SCC><SCC num="1"><NODE ref="12"/><NODE ref="13"/></SCC><NONSCC num="2"><NODE ref="1"/></NONSCC><SCC num="3"><NODE ref="16"/><NODE ref="17"/></SCC></CCLIST><EDGE end="2" start="0"/><EDGE end="1" start="0"/><EDGE end="3" start="2"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Case(m,xi,n),s)</LHS><RHS>Marked_Frozen(m,Sum_sub(xi,s),n,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_Term_sub(Term_inl(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_Term_sub(Term_inr(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Term_sub(m,t)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</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>Term_app</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</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>Marked_Term_sub</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>Term_inl</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>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Concat</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>Term_pair</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>Term_inr</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>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Case(m,xi,n),s)</LHS><RHS>Marked_Frozen(m,Sum_sub(xi,s),n,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_Term_sub(Term_app(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_Term_sub(Term_pair(m,n),s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_Term_sub(Term_inr(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Term_sub(m,t)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_Concat(Cons_usual(x,m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Marked_Term_sub(n,s)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_Term_sub(Term_inl(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/></SCC><NONSCC num="1"><NODE ref="6"/></NONSCC><SCC num="2"><NODE ref="4"/><NODE ref="5"/></SCC><NONSCC num="3"><NODE ref="3"/></NONSCC><NONSCC num="4"><NODE ref="2"/></NONSCC><NONSCC num="5"><NODE ref="1"/></NONSCC><NONSCC num="6"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="0" start="1"/><EDGE end="1" start="2"/><EDGE end="2" start="3"/><EDGE end="1" start="3"/><EDGE end="2" start="4"/><EDGE end="1" start="4"/><EDGE end="2" start="5"/><EDGE end="1" start="5"/><EDGE end="2" start="6"/><EDGE end="1" start="6"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_inl(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Marked_Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_inl</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>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</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>Cons_sum</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="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_inl(m),s)</LHS><RHS>Marked_Term_sub(m,s)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_sub(m,s),t)</LHS><RHS>Marked_Term_sub(m,Concat(s,t))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</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>Term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>Marked_Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</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>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</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="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Concat</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>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</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="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><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="0"/><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></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Marked_Concat(s,t)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(s,Concat(t,u))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Concat(Concat(s,t),u)</LHS><RHS>Marked_Concat(t,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>Term_app</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>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><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>Term_inl</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Concat</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>Term_pair</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>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</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>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</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="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</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>Term_sub</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="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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</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="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Sum_sub</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>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Marked_Sum_sub(xi,s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</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>Term_sub</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="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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</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>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_Sum_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_var</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Marked_Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_inr</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</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>Cons_sum</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><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>Term_sub(Case(m,xi,n),s)</LHS><RHS>Frozen(m,Sum_sub(xi,s),n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Left),n,s)</LHS><RHS>Term_sub(m,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_constant(Right),n,s)</LHS><RHS>Term_sub(n,s)</RHS></RULE><RULE><LHS>Frozen(m,Sum_term_var(xi),n,s)</LHS><RHS>Case(Term_sub(m,s),xi,Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_app(m,n),s)</LHS><RHS>Term_app(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_pair(m,n),s)</LHS><RHS>Term_pair(Term_sub(m,s),Term_sub(n,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inl(m),s)</LHS><RHS>Term_inl(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_inr(m),s)</LHS><RHS>Term_inr(Term_sub(m,s))</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Id)</LHS><RHS>Term_var(x)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>m</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_var(x),Cons_sum(xi,k,s))</LHS><RHS>Term_sub(Term_var(x),s)</RHS></RULE><RULE><LHS>Term_sub(Term_sub(m,s),t)</LHS><RHS>Term_sub(m,Concat(s,t))</RHS></RULE><RULE><LHS>Sum_sub(xi,Id)</LHS><RHS>Sum_term_var(xi)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_constant(k)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_sum(psi,k,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Sum_sub(xi,Cons_usual(y,m,s))</LHS><RHS>Sum_sub(xi,s)</RHS></RULE><RULE><LHS>Concat(Concat(s,t),u)</LHS><RHS>Concat(s,Concat(t,u))</RHS></RULE><RULE><LHS>Concat(Cons_usual(x,m,s),t)</LHS><RHS>Cons_usual(x,Term_sub(m,t),Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Cons_sum(xi,k,s),t)</LHS><RHS>Cons_sum(xi,k,Concat(s,t))</RHS></RULE><RULE><LHS>Concat(Id,s)</LHS><RHS>s</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_Term_sub(Term_var(x),Cons_usual(y,m,s))</LHS><RHS>Marked_Term_sub(Term_var(x),s)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>Frozen</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/><ARG degree="1" num="2"/><ARG degree="1" num="3"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Concat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Term_app</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_constant</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>Term_var</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>Term_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>Marked_Term_sub</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>Term_inl</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Right</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_usual</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_sub</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_pair</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Left</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Id</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Case</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Term_inr</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Sum_term_var</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Cons_sum</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
