/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:
 U11(tt(),N) -> activate(N)
 U21(tt(),M,N) -> s(plus(activate(N),activate(M)))
 U31(tt()) -> 0()
 U41(tt(),M,N) -> plus(x(activate(N),activate(M)),activate(N))
 and(tt(),X) -> activate(X)
 isNat(n__0()) -> tt()
 isNat(n__plus(V1,V2)) -> and(isNat(activate(V1)),n__isNat(activate(V2)))
 isNat(n__s(V1)) -> isNat(activate(V1))
 isNat(n__x(V1,V2)) -> and(isNat(activate(V1)),n__isNat(activate(V2)))
 plus(N,0()) -> U11(isNat(N),N)
 plus(N,s(M)) -> U21(and(isNat(M),n__isNat(N)),M,N)
 x(N,0()) -> U31(isNat(N))
 x(N,s(M)) -> U41(and(isNat(M),n__isNat(N)),M,N)
 0() -> n__0()
 plus(X1,X2) -> n__plus(X1,X2)
 isNat(X) -> n__isNat(X)
 s(X) -> n__s(X)
 x(X1,X2) -> n__x(X1,X2)
 activate(n__0()) -> 0()
 activate(n__plus(X1,X2)) -> plus(X1,X2)
 activate(n__isNat(X)) -> isNat(X)
 activate(n__s(X)) -> s(X)
 activate(n__x(X1,X2)) -> x(X1,X2)
 activate(X) -> X

Proof:
 Open