MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f14(A,B,C,D,E,F,G) -> f14(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] (?,1) 1. f14(A,B,C,D,E,F,G) -> f14(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] (?,1) 2. f24(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) True (?,1) 3. f26(A,B,C,D,E,F,G) -> f29(A,B,C,D,E,F,G) True (?,1) 4. f14(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) [0 >= A] (?,1) 5. f0(A,B,C,D,E,F,G) -> f14(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] (1,1) Signature: {(f0,7);(f14,7);(f24,7);(f26,7);(f29,7)} Flow Graph: [0->{0,1,4},1->{0,1,4},2->{2},3->{},4->{2},5->{0,1,4}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f14(A,B,C,D,E,F,G) -> f14(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] (?,1) 1. f14(A,B,C,D,E,F,G) -> f14(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] (?,1) 2. f24(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) True (?,1) 4. f14(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) [0 >= A] (?,1) 5. f0(A,B,C,D,E,F,G) -> f14(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] (1,1) Signature: {(f0,7);(f14,7);(f24,7);(f26,7);(f29,7)} Flow Graph: [0->{0,1,4},1->{0,1,4},2->{2},4->{2},5->{0,1,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(5,4)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f14(A,B,C,D,E,F,G) -> f14(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] (?,1) 1. f14(A,B,C,D,E,F,G) -> f14(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] (?,1) 2. f24(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) True (?,1) 4. f14(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) [0 >= A] (?,1) 5. f0(A,B,C,D,E,F,G) -> f14(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] (1,1) Signature: {(f0,7);(f14,7);(f24,7);(f26,7);(f29,7)} Flow Graph: [0->{0,1,4},1->{0,1,4},2->{2},4->{2},5->{0,1}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: f14(A,B,C,D,E,F,G) -> f14(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14(A,B,C,D,E,F,G) -> f14(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f24(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) True f14(A,B,C,D,E,F,G) -> f24(A,B,C,D,E,F,G) [0 >= A] f0(A,B,C,D,E,F,G) -> f14(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] Signature: {(f0,7);(f14,7);(f24,7);(f26,7);(f29,7)} Rule Graph: [0->{0,1,4},1->{0,1,4},2->{2},4->{2},5->{0,1}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: f14.0(A,B,C,D,E,F,G) -> f14.0(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.0(A,B,C,D,E,F,G) -> f14.1(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.0(A,B,C,D,E,F,G) -> f14.4(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.1(A,B,C,D,E,F,G) -> f14.0(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f14.1(A,B,C,D,E,F,G) -> f14.1(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f14.1(A,B,C,D,E,F,G) -> f14.4(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f24.2(A,B,C,D,E,F,G) -> f24.2(A,B,C,D,E,F,G) True f14.4(A,B,C,D,E,F,G) -> f24.2(A,B,C,D,E,F,G) [0 >= A] f0.5(A,B,C,D,E,F,G) -> f14.0(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] f0.5(A,B,C,D,E,F,G) -> f14.1(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] Signature: {(f0.5,7);(f14.0,7);(f14.1,7);(f14.4,7);(f24.2,7)} Rule Graph: [0->{0,1,2},1->{3,4,5},2->{7},3->{0,1,2},4->{3,4,5},5->{7},6->{6},7->{6},8->{0,1,2},9->{3,4,5}] + Applied Processor: AddSinks + Details: () * Step 6: Failure MAYBE + Considered Problem: Rules: f14.0(A,B,C,D,E,F,G) -> f14.0(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.0(A,B,C,D,E,F,G) -> f14.1(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.0(A,B,C,D,E,F,G) -> f14.4(-1 + A,-1 + B,1 + C,H,E,F,G) [A >= 1 && H >= 1] f14.1(A,B,C,D,E,F,G) -> f14.0(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f14.1(A,B,C,D,E,F,G) -> f14.1(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f14.1(A,B,C,D,E,F,G) -> f14.4(-1 + A,B,C,H,E,F,G) [0 >= H && A >= 1 && A >= 1 + B] f24.2(A,B,C,D,E,F,G) -> f24.2(A,B,C,D,E,F,G) True f14.4(A,B,C,D,E,F,G) -> f24.2(A,B,C,D,E,F,G) [0 >= A] f0.5(A,B,C,D,E,F,G) -> f14.0(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] f0.5(A,B,C,D,E,F,G) -> f14.1(1 + 2*I,H,0,D,H,1 + 2*I,I) [H >= 1 && 2*I >= 0] f24.2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f24.2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f24.2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True f24.2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True Signature: {(exitus616,7);(f0.5,7);(f14.0,7);(f14.1,7);(f14.4,7);(f24.2,7)} Rule Graph: [0->{0,1,2},1->{3,4,5},2->{7},3->{0,1,2},4->{3,4,5},5->{7},6->{6,10,11,12,13},7->{6},8->{0,1,2},9->{3,4 ,5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | +- p:[0,3,1,4] c: [0,1,3,4] | `- p:[6] c: [] MAYBE