523.48/155.54 NO 523.66/155.54 523.66/155.54 Problem: 523.66/155.54 strict: 523.66/155.54 top(ok(U(x,y))) -> top(check(D(x,y))) 523.66/155.54 D(x,B()) -> U(x,B()) 523.66/155.54 F(x,U(O(y),z)) -> U(x,F(y,z)) 523.66/155.54 F(x,U(N(y),z)) -> U(x,F(y,z)) 523.66/155.54 D(O(x),F(y,z)) -> F(x,D(y,z)) 523.66/155.54 D(N(x),F(y,z)) -> F(x,D(y,z)) 523.66/155.54 F(x,U(E(),y)) -> U(x,F(E(),y)) 523.66/155.54 D(E(),F(x,y)) -> F(E(),D(x,y)) 523.66/155.54 weak: 523.66/155.54 U(O(x),y) -> U(x,y) 523.66/155.54 U(N(x),y) -> U(x,y) 523.66/155.54 D(O(x),y) -> D(x,y) 523.66/155.54 D(N(x),y) -> D(x,y) 523.66/155.54 E() -> N(E()) 523.66/155.54 check(O(x)) -> ok(O(x)) 523.66/155.54 check(U(x,y)) -> U(check(x),y) 523.66/155.54 check(U(x,y)) -> U(x,check(y)) 523.66/155.54 check(D(x,y)) -> D(check(x),y) 523.66/155.54 check(D(x,y)) -> D(x,check(y)) 523.66/155.54 check(F(x,y)) -> F(check(x),y) 523.66/155.54 check(F(x,y)) -> F(x,check(y)) 523.66/155.54 check(O(x)) -> O(check(x)) 523.66/155.54 check(N(x)) -> N(check(x)) 523.66/155.54 U(ok(x),y) -> ok(U(x,y)) 523.66/155.54 U(x,ok(y)) -> ok(U(x,y)) 523.66/155.54 D(ok(x),y) -> ok(D(x,y)) 523.66/155.54 D(x,ok(y)) -> ok(D(x,y)) 523.66/155.54 F(ok(x),y) -> ok(F(x,y)) 523.66/155.54 F(x,ok(y)) -> ok(F(x,y)) 523.66/155.54 O(ok(x)) -> ok(O(x)) 523.66/155.54 N(ok(x)) -> ok(N(x)) 523.66/155.54 523.66/155.54 Proof: 523.66/155.54 Unfolding Processor: 523.66/155.54 loop length: 5 523.66/155.54 terms: 523.66/155.54 top(ok(U(O(x426584),B()))) 523.66/155.54 top(check(D(O(x426584),B()))) 523.66/155.54 top(D(check(O(x426584)),B())) 523.66/155.54 top(U(check(O(x426584)),B())) 523.66/155.54 top(U(ok(O(x426584)),B())) 523.66/155.54 context: [] 523.66/155.54 substitution: 523.66/155.54 x426584 -> x426584 523.66/155.54 Qed 523.66/155.54 EOF