MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f4(A,B,C,D,E,F,G) -> f4(A + -1*B,B,C,D,E,F,G) [-1 + -1*B >= 0 && A >= 0] (?,1) 1. f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [-1 + -1*B >= 0 && 0 >= 1 + A] (?,1) 2. f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] (1,1) 3. f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] (1,1) Signature: {(f4,7);(f5,7);(f6,7)} Flow Graph: [0->{0,1},1->{},2->{0,1},3->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f4(A,B,C,D,E,F,G) -> f4(A + -1*B,B,C,D,E,F,G) [-1 + -1*B >= 0 && A >= 0] (?,1) 1. f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [-1 + -1*B >= 0 && 0 >= 1 + A] (?,1) 2. f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] (1,1) 3. f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] (1,1) Signature: {(f4,7);(f5,7);(f6,7)} Flow Graph: [0->{0},1->{},2->{0,1},3->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f4(A,B,C,D,E,F,G) -> f4(A + -1*B,B,C,D,E,F,G) [-1 + -1*B >= 0 && A >= 0] f4(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [-1 + -1*B >= 0 && 0 >= 1 + A] f5(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,G) [0 >= 1 + B] f5(A,B,C,D,E,F,G) -> f6(A,B,0,0,0,0,0) [B >= 0] Signature: {(f4,7);(f5,7);(f6,7)} Rule Graph: [0->{0},1->{},2->{0,1},3->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f4.0(A,B,C,D,E,F,G) -> f4.0(A + -1*B,B,C,D,E,F,G) [-1 + -1*B >= 0 && A >= 0] f4.1(A,B,C,D,E,F,G) -> f6.4(A,B,0,0,0,0,0) [-1 + -1*B >= 0 && 0 >= 1 + A] f5.2(A,B,C,D,E,F,G) -> f4.0(A,B,C,D,E,F,G) [0 >= 1 + B] f5.2(A,B,C,D,E,F,G) -> f4.1(A,B,C,D,E,F,G) [0 >= 1 + B] f5.3(A,B,C,D,E,F,G) -> f6.4(A,B,0,0,0,0,0) [B >= 0] Signature: {(f4.0,7);(f4.1,7);(f5.2,7);(f5.3,7);(f6.4,7)} Rule Graph: [0->{0},1->{},2->{0},3->{1},4->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f4.0(A,B,C,D,E,F,G) -> f4.0(A + -1*B,B,C,D,E,F,G) [-1 + -1*B >= 0 && A >= 0] f4.1(A,B,C,D,E,F,G) -> f6.4(A,B,0,0,0,0,0) [-1 + -1*B >= 0 && 0 >= 1 + A] f5.2(A,B,C,D,E,F,G) -> f4.0(A,B,C,D,E,F,G) [0 >= 1 + B] f5.2(A,B,C,D,E,F,G) -> f4.1(A,B,C,D,E,F,G) [0 >= 1 + B] f5.3(A,B,C,D,E,F,G) -> f6.4(A,B,0,0,0,0,0) [B >= 0] f6.4(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f6.4(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f4.0(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7);(f4.0,7);(f4.1,7);(f5.2,7);(f5.3,7);(f6.4,7)} Rule Graph: [0->{0,7},1->{6},2->{0},3->{1},4->{5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7] | `- p:[0] c: [] MAYBE