YES(?,O(1)) * Step 1: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. start(A,B) -> eval(A,B) True (1,1) 1. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{1},1->{1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,1)] * Step 2: TrivialSCCs WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. start(A,B) -> eval(A,B) True (1,1) 1. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{1},1->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 3: KnowledgePropagation WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. start(A,B) -> eval(A,B) True (1,1) 1. eval(A,B) -> eval(B,A) [A >= 1 + B] (1,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{1},1->{}] + Applied Processor: KnowledgePropagation + Details: The problem is already solved. YES(?,O(1))