/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

Problem:
 fact(X) -> if(zero(X),n__s(n__0()),n__prod(X,n__fact(n__p(X))))
 add(0(),X) -> X
 add(s(X),Y) -> s(add(X,Y))
 prod(0(),X) -> 0()
 prod(s(X),Y) -> add(Y,prod(X,Y))
 if(true(),X,Y) -> activate(X)
 if(false(),X,Y) -> activate(Y)
 zero(0()) -> true()
 zero(s(X)) -> false()
 p(s(X)) -> X
 s(X) -> n__s(X)
 0() -> n__0()
 prod(X1,X2) -> n__prod(X1,X2)
 fact(X) -> n__fact(X)
 p(X) -> n__p(X)
 activate(n__s(X)) -> s(activate(X))
 activate(n__0()) -> 0()
 activate(n__prod(X1,X2)) -> prod(activate(X1),activate(X2))
 activate(n__fact(X)) -> fact(activate(X))
 activate(n__p(X)) -> p(activate(X))
 activate(X) -> X

Proof:
 Open