MAYBE 252.57/63.99 MAYBE 252.57/64.00 252.57/64.00 Problem: 252.57/64.00 active(U11(tt(),M,N)) -> mark(U12(tt(),M,N)) 252.57/64.00 active(U12(tt(),M,N)) -> mark(s(plus(N,M))) 252.57/64.00 active(plus(N,0())) -> mark(N) 252.57/64.00 active(plus(N,s(M))) -> mark(U11(tt(),M,N)) 252.57/64.00 active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3) 252.57/64.00 active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3) 252.57/64.00 active(s(X)) -> s(active(X)) 252.57/64.00 active(plus(X1,X2)) -> plus(active(X1),X2) 252.57/64.00 active(plus(X1,X2)) -> plus(X1,active(X2)) 252.57/64.00 U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3)) 252.57/64.00 U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3)) 252.57/64.00 s(mark(X)) -> mark(s(X)) 252.57/64.00 plus(mark(X1),X2) -> mark(plus(X1,X2)) 252.57/64.00 plus(X1,mark(X2)) -> mark(plus(X1,X2)) 252.57/64.00 proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3)) 252.57/64.00 proper(tt()) -> ok(tt()) 252.57/64.00 proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3)) 252.57/64.00 proper(s(X)) -> s(proper(X)) 252.57/64.00 proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) 252.57/64.00 proper(0()) -> ok(0()) 252.57/64.00 U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3)) 252.57/64.00 U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3)) 252.57/64.00 s(ok(X)) -> ok(s(X)) 252.57/64.00 plus(ok(X1),ok(X2)) -> ok(plus(X1,X2)) 252.57/64.00 top(mark(X)) -> top(proper(X)) 252.57/64.00 top(ok(X)) -> top(active(X)) 252.57/64.00 252.57/64.00 Proof: 252.57/64.00 Open 253.08/64.00 EOF