/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:
 active(fact(X)) -> mark(if(zero(X),s(0()),prod(X,fact(p(X)))))
 active(add(0(),X)) -> mark(X)
 active(add(s(X),Y)) -> mark(s(add(X,Y)))
 active(prod(0(),X)) -> mark(0())
 active(prod(s(X),Y)) -> mark(add(Y,prod(X,Y)))
 active(if(true(),X,Y)) -> mark(X)
 active(if(false(),X,Y)) -> mark(Y)
 active(zero(0())) -> mark(true())
 active(zero(s(X))) -> mark(false())
 active(p(s(X))) -> mark(X)
 mark(fact(X)) -> active(fact(mark(X)))
 mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
 mark(zero(X)) -> active(zero(mark(X)))
 mark(s(X)) -> active(s(mark(X)))
 mark(0()) -> active(0())
 mark(prod(X1,X2)) -> active(prod(mark(X1),mark(X2)))
 mark(p(X)) -> active(p(mark(X)))
 mark(add(X1,X2)) -> active(add(mark(X1),mark(X2)))
 mark(true()) -> active(true())
 mark(false()) -> active(false())
 fact(mark(X)) -> fact(X)
 fact(active(X)) -> fact(X)
 if(mark(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,mark(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,mark(X3)) -> if(X1,X2,X3)
 if(active(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,active(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,active(X3)) -> if(X1,X2,X3)
 zero(mark(X)) -> zero(X)
 zero(active(X)) -> zero(X)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 prod(mark(X1),X2) -> prod(X1,X2)
 prod(X1,mark(X2)) -> prod(X1,X2)
 prod(active(X1),X2) -> prod(X1,X2)
 prod(X1,active(X2)) -> prod(X1,X2)
 p(mark(X)) -> p(X)
 p(active(X)) -> p(X)
 add(mark(X1),X2) -> add(X1,X2)
 add(X1,mark(X2)) -> add(X1,X2)
 add(active(X1),X2) -> add(X1,X2)
 add(X1,active(X2)) -> add(X1,X2)

Proof:
 Open