YES(?,O(1)) * Step 1: UnreachableRules WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f8(A,B,C) -> f12(2,1,C) [A = 2] (?,1) 1. f8(A,B,C) -> f12(A,0,C) [1 >= A] (?,1) 2. f8(A,B,C) -> f12(A,0,C) [A >= 3] (?,1) 3. f0(A,B,C) -> f12(1,1,1) True (1,1) Signature: {(f0,3);(f12,3);(f8,3)} Flow Graph: [0->{},1->{},2->{},3->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [0,1,2] * Step 2: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 3. f0(A,B,C) -> f12(1,1,1) True (1,1) Signature: {(f0,3);(f12,3);(f8,3)} Flow Graph: [3->{}] + Applied Processor: UnsatPaths + Details: The problem is already solved. YES(?,O(1))