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


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MAYBE

Problem:
 a__fact(X) -> a__if(a__zero(mark(X)),s(0()),prod(X,fact(p(X))))
 a__add(0(),X) -> mark(X)
 a__add(s(X),Y) -> s(a__add(mark(X),mark(Y)))
 a__prod(0(),X) -> 0()
 a__prod(s(X),Y) -> a__add(mark(Y),a__prod(mark(X),mark(Y)))
 a__if(true(),X,Y) -> mark(X)
 a__if(false(),X,Y) -> mark(Y)
 a__zero(0()) -> true()
 a__zero(s(X)) -> false()
 a__p(s(X)) -> mark(X)
 mark(fact(X)) -> a__fact(mark(X))
 mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3)
 mark(zero(X)) -> a__zero(mark(X))
 mark(prod(X1,X2)) -> a__prod(mark(X1),mark(X2))
 mark(p(X)) -> a__p(mark(X))
 mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
 mark(s(X)) -> s(mark(X))
 mark(0()) -> 0()
 mark(true()) -> true()
 mark(false()) -> false()
 a__fact(X) -> fact(X)
 a__if(X1,X2,X3) -> if(X1,X2,X3)
 a__zero(X) -> zero(X)
 a__prod(X1,X2) -> prod(X1,X2)
 a__p(X) -> p(X)
 a__add(X1,X2) -> add(X1,X2)

Proof:
 Open