/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(U11(tt(),N)) -> mark(N)
 active(U21(tt(),M,N)) -> mark(s(plus(N,M)))
 active(U31(tt())) -> mark(0())
 active(U41(tt(),M,N)) -> mark(plus(x(N,M),N))
 active(and(tt(),X)) -> mark(X)
 active(isNat(0())) -> mark(tt())
 active(isNat(plus(V1,V2))) -> mark(and(isNat(V1),isNat(V2)))
 active(isNat(s(V1))) -> mark(isNat(V1))
 active(isNat(x(V1,V2))) -> mark(and(isNat(V1),isNat(V2)))
 active(plus(N,0())) -> mark(U11(isNat(N),N))
 active(plus(N,s(M))) -> mark(U21(and(isNat(M),isNat(N)),M,N))
 active(x(N,0())) -> mark(U31(isNat(N)))
 active(x(N,s(M))) -> mark(U41(and(isNat(M),isNat(N)),M,N))
 mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
 mark(tt()) -> active(tt())
 mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
 mark(s(X)) -> active(s(mark(X)))
 mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
 mark(U31(X)) -> active(U31(mark(X)))
 mark(0()) -> active(0())
 mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
 mark(x(X1,X2)) -> active(x(mark(X1),mark(X2)))
 mark(and(X1,X2)) -> active(and(mark(X1),X2))
 mark(isNat(X)) -> active(isNat(X))
 U11(mark(X1),X2) -> U11(X1,X2)
 U11(X1,mark(X2)) -> U11(X1,X2)
 U11(active(X1),X2) -> U11(X1,X2)
 U11(X1,active(X2)) -> U11(X1,X2)
 U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
 U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
 U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
 U21(active(X1),X2,X3) -> U21(X1,X2,X3)
 U21(X1,active(X2),X3) -> U21(X1,X2,X3)
 U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 plus(mark(X1),X2) -> plus(X1,X2)
 plus(X1,mark(X2)) -> plus(X1,X2)
 plus(active(X1),X2) -> plus(X1,X2)
 plus(X1,active(X2)) -> plus(X1,X2)
 U31(mark(X)) -> U31(X)
 U31(active(X)) -> U31(X)
 U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
 U41(active(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,active(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
 x(mark(X1),X2) -> x(X1,X2)
 x(X1,mark(X2)) -> x(X1,X2)
 x(active(X1),X2) -> x(X1,X2)
 x(X1,active(X2)) -> x(X1,X2)
 and(mark(X1),X2) -> and(X1,X2)
 and(X1,mark(X2)) -> and(X1,X2)
 and(active(X1),X2) -> and(X1,X2)
 and(X1,active(X2)) -> and(X1,X2)
 isNat(mark(X)) -> isNat(X)
 isNat(active(X)) -> isNat(X)

Proof:
 Open