MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f12(A,B,C,D,E,F,G,H,I,J,K) -> f5(0,B,C,0,0,F,G,M,M,0,0) [A = 0] (?,1) 1. f20(A,B,C,D,E,F,G,H,I,J,K) -> f12(-1 + A,B,C,D,E,0,0,H,I,J,K) True (?,1) 2. f0(A,B,C,D,E,F,G,H,I,J,K) -> f5(A,B,C,1,1,F,G,H,I,J,K) [15 >= M] (1,1) 3. f12(A,B,C,D,E,F,G,H,I,J,K) -> f20(A,M,M,D,E,F,G,H,I,J,K) [A >= 1] (?,1) 4. f12(A,B,C,D,E,F,G,H,I,J,K) -> f20(A,M,M,D,E,F,G,H,I,J,K) [0 >= 1 + A] (?,1) 5. f0(A,B,C,D,E,F,G,H,I,J,K) -> f12(M,B,C,D,E,F,G,H,I,J,K) [15 >= L] (1,1) 6. f0(A,B,C,D,E,F,G,H,I,J,K) -> f5(A,B,C,D,E,F,G,H,I,J,K) True (1,1) Signature: {(f0,11);(f12,11);(f20,11);(f5,11)} Flow Graph: [0->{},1->{0,3,4},2->{},3->{1},4->{1},5->{0,3,4},6->{}] + Applied Processor: ArgumentFilter [1,2,3,4,5,6,7,8,9,10] + Details: We remove following argument positions: [1,2,3,4,5,6,7,8,9,10]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f12(A) -> f5(0) [A = 0] (?,1) 1. f20(A) -> f12(-1 + A) True (?,1) 2. f0(A) -> f5(A) [15 >= M] (1,1) 3. f12(A) -> f20(A) [A >= 1] (?,1) 4. f12(A) -> f20(A) [0 >= 1 + A] (?,1) 5. f0(A) -> f12(M) [15 >= L] (1,1) 6. f0(A) -> f5(A) True (1,1) Signature: {(f0,11);(f12,11);(f20,11);(f5,11)} Flow Graph: [0->{},1->{0,3,4},2->{},3->{1},4->{1},5->{0,3,4},6->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f12(A) -> f5(0) [A = 0] f20(A) -> f12(-1 + A) True f0(A) -> f5(A) [15 >= M] f12(A) -> f20(A) [A >= 1] f12(A) -> f20(A) [0 >= 1 + A] f0(A) -> f12(M) [15 >= L] f0(A) -> f5(A) True Signature: {(f0,11);(f12,11);(f20,11);(f5,11)} Rule Graph: [0->{},1->{0,3,4},2->{},3->{1},4->{1},5->{0,3,4},6->{}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f12(A) -> f5(0) [A = 0] f20(A) -> f12(-1 + A) True f0(A) -> f5(A) [15 >= M] f12(A) -> f20(A) [A >= 1] f12(A) -> f20(A) [0 >= 1 + A] f0(A) -> f12(M) [15 >= L] f0(A) -> f5(A) True f5(A) -> exitus616(A) True f5(A) -> exitus616(A) True f5(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,11);(f12,11);(f20,11);(f5,11)} Rule Graph: [0->{8},1->{0,3,4},2->{9},3->{1},4->{1},5->{0,3,4},6->{7}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9] | `- p:[1,3,4] c: [3] | `- p:[1,4] c: [] MAYBE