MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 U11(tt(),V2) -> U12(isNat(activate(V2))) 0.08/0.19 U12(tt()) -> tt() 0.08/0.19 U21(tt()) -> tt() 0.08/0.19 U31(tt(),V2) -> U32(isNat(activate(V2))) 0.08/0.19 U32(tt()) -> tt() 0.08/0.19 U41(tt(),N) -> activate(N) 0.08/0.19 U51(tt(),M,N) -> U52(isNat(activate(N)),activate(M),activate(N)) 0.08/0.19 U52(tt(),M,N) -> s(plus(activate(N),activate(M))) 0.08/0.19 U61(tt()) -> 0() 0.08/0.19 U71(tt(),M,N) -> U72(isNat(activate(N)),activate(M),activate(N)) 0.08/0.19 U72(tt(),M,N) -> plus(x(activate(N),activate(M)),activate(N)) 0.08/0.19 isNat(n__0()) -> tt() 0.08/0.19 isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) 0.08/0.19 isNat(n__s(V1)) -> U21(isNat(activate(V1))) 0.08/0.19 isNat(n__x(V1,V2)) -> U31(isNat(activate(V1)),activate(V2)) 0.08/0.19 plus(N,0()) -> U41(isNat(N),N) 0.08/0.19 plus(N,s(M)) -> U51(isNat(M),M,N) 0.08/0.19 x(N,0()) -> U61(isNat(N)) 0.08/0.19 x(N,s(M)) -> U71(isNat(M),M,N) 0.08/0.19 0() -> n__0() 0.08/0.19 plus(X1,X2) -> n__plus(X1,X2) 0.08/0.19 s(X) -> n__s(X) 0.08/0.19 x(X1,X2) -> n__x(X1,X2) 0.08/0.19 activate(n__0()) -> 0() 0.08/0.19 activate(n__plus(X1,X2)) -> plus(activate(X1),activate(X2)) 0.08/0.19 activate(n__s(X)) -> s(activate(X)) 0.08/0.19 activate(n__x(X1,X2)) -> x(activate(X1),activate(X2)) 0.08/0.19 activate(X) -> X 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.18/0.20 EOF