MAYBE 0.18/0.21 MAYBE 0.18/0.21 0.18/0.21 Problem: 0.18/0.21 active(app(nil(),YS)) -> mark(YS) 0.18/0.21 active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) 0.18/0.21 active(from(X)) -> mark(cons(X,from(s(X)))) 0.18/0.21 active(zWadr(nil(),YS)) -> mark(nil()) 0.18/0.21 active(zWadr(XS,nil())) -> mark(nil()) 0.18/0.21 active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) 0.18/0.21 active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) 0.18/0.21 active(app(X1,X2)) -> app(active(X1),X2) 0.18/0.21 active(app(X1,X2)) -> app(X1,active(X2)) 0.18/0.21 active(cons(X1,X2)) -> cons(active(X1),X2) 0.18/0.21 active(from(X)) -> from(active(X)) 0.18/0.21 active(s(X)) -> s(active(X)) 0.18/0.21 active(zWadr(X1,X2)) -> zWadr(active(X1),X2) 0.18/0.21 active(zWadr(X1,X2)) -> zWadr(X1,active(X2)) 0.18/0.21 active(prefix(X)) -> prefix(active(X)) 0.18/0.21 app(mark(X1),X2) -> mark(app(X1,X2)) 0.18/0.21 app(X1,mark(X2)) -> mark(app(X1,X2)) 0.18/0.21 cons(mark(X1),X2) -> mark(cons(X1,X2)) 0.18/0.21 from(mark(X)) -> mark(from(X)) 0.18/0.21 s(mark(X)) -> mark(s(X)) 0.18/0.21 zWadr(mark(X1),X2) -> mark(zWadr(X1,X2)) 0.18/0.21 zWadr(X1,mark(X2)) -> mark(zWadr(X1,X2)) 0.18/0.21 prefix(mark(X)) -> mark(prefix(X)) 0.18/0.21 proper(app(X1,X2)) -> app(proper(X1),proper(X2)) 0.18/0.21 proper(nil()) -> ok(nil()) 0.18/0.21 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 0.18/0.21 proper(from(X)) -> from(proper(X)) 0.18/0.21 proper(s(X)) -> s(proper(X)) 0.18/0.21 proper(zWadr(X1,X2)) -> zWadr(proper(X1),proper(X2)) 0.18/0.21 proper(prefix(X)) -> prefix(proper(X)) 0.18/0.21 app(ok(X1),ok(X2)) -> ok(app(X1,X2)) 0.18/0.21 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 0.18/0.21 from(ok(X)) -> ok(from(X)) 0.18/0.21 s(ok(X)) -> ok(s(X)) 0.18/0.21 zWadr(ok(X1),ok(X2)) -> ok(zWadr(X1,X2)) 0.18/0.21 prefix(ok(X)) -> ok(prefix(X)) 0.18/0.21 top(mark(X)) -> top(proper(X)) 0.18/0.21 top(ok(X)) -> top(active(X)) 0.18/0.21 0.18/0.21 Proof: 0.18/0.21 Open 0.18/0.21 EOF