MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f2(A,B,C,D,E,F,G,H) -> f1(A,B,C,D,E,F,I,J) True (1,1) 1. f1(A,B,C,D,E,F,G,H) -> f300(A,A,I,J,E,K,G,H) [A = B] (?,1) 2. f1(A,B,C,D,E,F,G,H) -> f1(A,B,I,J,K,F,G,H) [B >= 1 + A] (?,1) 3. f1(A,B,C,D,E,F,G,H) -> f1(A,B,I,J,K,F,G,H) [A >= 1 + B] (?,1) Signature: {(f1,8);(f2,8);(f300,8)} Flow Graph: [0->{1,2,3},1->{},2->{1,2,3},3->{1,2,3}] + Applied Processor: ArgumentFilter [2,3,4,5,6,7] + Details: We remove following argument positions: [2,3,4,5,6,7]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(A,B) True (1,1) 1. f1(A,B) -> f300(A,A) [A = B] (?,1) 2. f1(A,B) -> f1(A,B) [B >= 1 + A] (?,1) 3. f1(A,B) -> f1(A,B) [A >= 1 + B] (?,1) Signature: {(f1,8);(f2,8);(f300,8)} Flow Graph: [0->{1,2,3},1->{},2->{1,2,3},3->{1,2,3}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1),(2,3),(3,1),(3,2)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(A,B) True (1,1) 1. f1(A,B) -> f300(A,A) [A = B] (?,1) 2. f1(A,B) -> f1(A,B) [B >= 1 + A] (?,1) 3. f1(A,B) -> f1(A,B) [A >= 1 + B] (?,1) Signature: {(f1,8);(f2,8);(f300,8)} Flow Graph: [0->{1,2,3},1->{},2->{2},3->{3}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f2(A,B) -> f1(A,B) True f1(A,B) -> f300(A,A) [A = B] f1(A,B) -> f1(A,B) [B >= 1 + A] f1(A,B) -> f1(A,B) [A >= 1 + B] Signature: {(f1,8);(f2,8);(f300,8)} Rule Graph: [0->{1,2,3},1->{},2->{2},3->{3}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f2(A,B) -> f1(A,B) True f1(A,B) -> f300(A,A) [A = B] f1(A,B) -> f1(A,B) [B >= 1 + A] f1(A,B) -> f1(A,B) [A >= 1 + B] f1(A,B) -> exitus616(A,B) True f1(A,B) -> exitus616(A,B) True f300(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f1,8);(f2,8);(f300,8)} Rule Graph: [0->{1,2,3},1->{6},2->{2,5},3->{3,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | +- p:[3] c: [] | `- p:[2] c: [] MAYBE