MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f15(2,B,C) True (1,1) 1. f15(A,B,C) -> f18(A,A,C) [10 >= A] (?,1) 2. f18(A,B,C) -> f18(A,-1 + B,F) [D >= 1 + E] (?,1) 3. f18(A,B,C) -> f15(1 + A,B,C) True (?,1) 4. f15(A,B,C) -> f28(A,B,C) [A >= 11] (?,1) Signature: {(f0,3);(f15,3);(f18,3);(f28,3)} Flow Graph: [0->{1,4},1->{2,3},2->{2,3},3->{1,4},4->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,4)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f15(2,B,C) True (1,1) 1. f15(A,B,C) -> f18(A,A,C) [10 >= A] (?,1) 2. f18(A,B,C) -> f18(A,-1 + B,F) [D >= 1 + E] (?,1) 3. f18(A,B,C) -> f15(1 + A,B,C) True (?,1) 4. f15(A,B,C) -> f28(A,B,C) [A >= 11] (?,1) Signature: {(f0,3);(f15,3);(f18,3);(f28,3)} Flow Graph: [0->{1},1->{2,3},2->{2,3},3->{1,4},4->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f0(A,B,C) -> f15(2,B,C) True f15(A,B,C) -> f18(A,A,C) [10 >= A] f18(A,B,C) -> f18(A,-1 + B,F) [D >= 1 + E] f18(A,B,C) -> f15(1 + A,B,C) True f15(A,B,C) -> f28(A,B,C) [A >= 11] Signature: {(f0,3);(f15,3);(f18,3);(f28,3)} Rule Graph: [0->{1},1->{2,3},2->{2,3},3->{1,4},4->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f0.0(A,B,C) -> f15.1(2,B,C) True f15.1(A,B,C) -> f18.2(A,A,C) [10 >= A] f15.1(A,B,C) -> f18.3(A,A,C) [10 >= A] f18.2(A,B,C) -> f18.2(A,-1 + B,F) [D >= 1 + E] f18.2(A,B,C) -> f18.3(A,-1 + B,F) [D >= 1 + E] f18.3(A,B,C) -> f15.1(1 + A,B,C) True f18.3(A,B,C) -> f15.4(1 + A,B,C) True f15.4(A,B,C) -> f28.5(A,B,C) [A >= 11] Signature: {(f0.0,3);(f15.1,3);(f15.4,3);(f18.2,3);(f18.3,3);(f28.5,3)} Rule Graph: [0->{1,2},1->{3,4},2->{5,6},3->{3,4},4->{5,6},5->{1,2},6->{7},7->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f0.0(A,B,C) -> f15.1(2,B,C) True f15.1(A,B,C) -> f18.2(A,A,C) [10 >= A] f15.1(A,B,C) -> f18.3(A,A,C) [10 >= A] f18.2(A,B,C) -> f18.2(A,-1 + B,F) [D >= 1 + E] f18.2(A,B,C) -> f18.3(A,-1 + B,F) [D >= 1 + E] f18.3(A,B,C) -> f15.1(1 + A,B,C) True f18.3(A,B,C) -> f15.4(1 + A,B,C) True f15.4(A,B,C) -> f28.5(A,B,C) [A >= 11] f28.5(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3);(f0.0,3);(f15.1,3);(f15.4,3);(f18.2,3);(f18.3,3);(f28.5,3)} Rule Graph: [0->{1,2},1->{3,4},2->{5,6},3->{3,4},4->{5,6},5->{1,2},6->{7},7->{8}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[1,5,2,4,3] c: [1,2,4,5] | `- p:[3] c: [] MAYBE