MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f300(A,C) [0 >= 1 + A] (?,1) 1. f1(A,B) -> f1(1 + A,B) [A >= 0] (?,1) 2. f3(A,B) -> f1(A,B) True (1,1) Signature: {(f1,2);(f3,2);(f300,2)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: ArgumentFilter [1] + Details: We remove following argument positions: [1]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f1(A) -> f300(A) [0 >= 1 + A] (?,1) 1. f1(A) -> f1(1 + A) [A >= 0] (?,1) 2. f3(A) -> f1(A) True (1,1) Signature: {(f1,2);(f3,2);(f300,2)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,0)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f1(A) -> f300(A) [0 >= 1 + A] (?,1) 1. f1(A) -> f1(1 + A) [A >= 0] (?,1) 2. f3(A) -> f1(A) True (1,1) Signature: {(f1,2);(f3,2);(f300,2)} Flow Graph: [0->{},1->{1},2->{0,1}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f1(A) -> f300(A) [0 >= 1 + A] f1(A) -> f1(1 + A) [A >= 0] f3(A) -> f1(A) True Signature: {(f1,2);(f3,2);(f300,2)} Rule Graph: [0->{},1->{1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f1(A) -> f300(A) [0 >= 1 + A] f1(A) -> f1(1 + A) [A >= 0] f3(A) -> f1(A) True f1(A) -> exitus616(A) True f300(A) -> exitus616(A) True Signature: {(exitus616,1);(f1,2);(f3,2);(f300,2)} Rule Graph: [0->{4},1->{1,3},2->{0,1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[1] c: [] MAYBE