MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(A,C) [0 >= 1 + A] (?,1) 1. f300(A,B) -> f2(A,B) True (1,1) 2. f2(A,B) -> f2(A,B) [A >= 0] (?,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: ArgumentFilter [1] + Details: We remove following argument positions: [1]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A) -> f1(A) [0 >= 1 + A] (?,1) 1. f300(A) -> f2(A) True (1,1) 2. f2(A) -> f2(A) [A >= 0] (?,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,0)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f2(A) -> f1(A) [0 >= 1 + A] (?,1) 1. f300(A) -> f2(A) True (1,1) 2. f2(A) -> f2(A) [A >= 0] (?,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,2},2->{2}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2(A) -> f1(A) [0 >= 1 + A] f300(A) -> f2(A) True f2(A) -> f2(A) [A >= 0] Signature: {(f1,2);(f2,2);(f300,2)} Rule Graph: [0->{},1->{0,2},2->{2}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2(A) -> f1(A) [0 >= 1 + A] f300(A) -> f2(A) True f2(A) -> f2(A) [A >= 0] f2(A) -> exitus616(A) True f1(A) -> exitus616(A) True Signature: {(exitus616,1);(f1,2);(f2,2);(f300,2)} Rule Graph: [0->{4},1->{0,2},2->{2,3}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[2] c: [] MAYBE