/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:
 p(0()) -> 0()
 p(s(X)) -> X
 leq(0(),Y) -> true()
 leq(s(X),0()) -> false()
 leq(s(X),s(Y)) -> leq(X,Y)
 if(true(),X,Y) -> activate(X)
 if(false(),X,Y) -> activate(Y)
 diff(X,Y) -> if(leq(X,Y),n__0(),n__s(n__diff(n__p(X),Y)))
 0() -> n__0()
 s(X) -> n__s(X)
 diff(X1,X2) -> n__diff(X1,X2)
 p(X) -> n__p(X)
 activate(n__0()) -> 0()
 activate(n__s(X)) -> s(activate(X))
 activate(n__diff(X1,X2)) -> diff(activate(X1),activate(X2))
 activate(n__p(X)) -> p(activate(X))
 activate(X) -> X

Proof:
 Open