NO 0.08/0.18 NO 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 sel(s(N),cons(X)) -> sel(N,XS) 0.08/0.18 from(X) -> cons(X) 0.08/0.18 sel(0(),cons(X)) -> X 0.08/0.18 minus(X,0()) -> 0() 0.08/0.18 minus(s(X),s(Y)) -> minus(X,Y) 0.08/0.18 quot(0(),s(Y)) -> 0() 0.08/0.18 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) 0.08/0.18 zWquot(XS,nil()) -> nil() 0.08/0.18 zWquot(nil(),XS) -> nil() 0.08/0.18 zWquot(cons(X),cons(Y)) -> cons(quot(X,Y)) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Fresh Variable Processor: 0.08/0.18 loop length: 1 0.08/0.18 terms: 0.08/0.18 sel(s(N),cons(X)) 0.08/0.18 context: sel(N,[]) 0.08/0.18 substitution: 0.08/0.18 XS -> sel(s(N),cons(X)) 0.08/0.18 Qed 0.08/0.18 EOF