MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E,F) -> f4(4,0,0,D,E,F) True (1,1) 1. f4(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] (?,1) 2. f4(A,B,C,D,E,F) -> f9(A,B,C,C,C,F) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] (?,1) Signature: {(f10,6);(f4,6);(f9,6)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: ArgumentFilter [2,3,4,5] + Details: We remove following argument positions: [2,3,4,5]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f10(A,B) -> f4(4,0) True (1,1) 1. f4(A,B) -> f4(A,1 + B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] (?,1) 2. f4(A,B) -> f9(A,B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] (?,1) Signature: {(f10,6);(f4,6);(f9,6)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f10(A,B) -> f4(4,0) True f4(A,B) -> f4(A,1 + B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] f4(A,B) -> f9(A,B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] Signature: {(f10,6);(f4,6);(f9,6)} Rule Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f10(A,B) -> f4(4,0) True f4(A,B) -> f4(A,1 + B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] f4(A,B) -> f9(A,B) [B >= 0 && -4 + A + B >= 0 && 4 + -1*A + B >= 0 && 4 + -1*A >= 0 && -4 + A >= 0] f9(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f10,6);(f4,6);(f9,6)} Rule Graph: [0->{1,2},1->{1,2},2->{3}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3] | `- p:[1] c: [] MAYBE