MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1*A,A + B,A + C,D,E,F) [0 >= 1 + A] (?,1) 1. f0(A,B,C,D,E,F) -> f0(A + B,-1*B,C,B + D,E,F) [0 >= 1 + B] (?,1) 2. f0(A,B,C,D,E,F) -> f0(A,B + D,C,-1*D,D + E,F) [0 >= 1 + D] (?,1) 3. f0(A,B,C,D,E,F) -> f0(A,B,C + E,D + E,-1*E,F) [0 >= 1 + E] (?,1) 4. f0(A,B,C,D,E,F) -> f0(A + C,B,-1*C,D,C + E,F) [0 >= 1 + C] (?,1) 5. f1(A,B,C,D,E,F) -> f0(G,H,K,I,J,G + H + I + J + K) [G + H + I + J + K >= 1] (1,1) Signature: {(f0,6);(f1,6)} Flow Graph: [0->{0,1,2,3,4},1->{0,1,2,3,4},2->{0,1,2,3,4},3->{0,1,2,3,4},4->{0,1,2,3,4},5->{0,1,2,3,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,0),(1,1),(2,2),(3,3),(4,4)] * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1*A,A + B,A + C,D,E,F) [0 >= 1 + A] (?,1) 1. f0(A,B,C,D,E,F) -> f0(A + B,-1*B,C,B + D,E,F) [0 >= 1 + B] (?,1) 2. f0(A,B,C,D,E,F) -> f0(A,B + D,C,-1*D,D + E,F) [0 >= 1 + D] (?,1) 3. f0(A,B,C,D,E,F) -> f0(A,B,C + E,D + E,-1*E,F) [0 >= 1 + E] (?,1) 4. f0(A,B,C,D,E,F) -> f0(A + C,B,-1*C,D,C + E,F) [0 >= 1 + C] (?,1) 5. f1(A,B,C,D,E,F) -> f0(G,H,K,I,J,G + H + I + J + K) [G + H + I + J + K >= 1] (1,1) Signature: {(f0,6);(f1,6)} Flow Graph: [0->{1,2,3,4},1->{0,2,3,4},2->{0,1,3,4},3->{0,1,2,4},4->{0,1,2,3},5->{0,1,2,3,4}] + Applied Processor: AddSinks + Details: () * Step 3: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1*A,A + B,A + C,D,E,F) [0 >= 1 + A] (?,1) 1. f0(A,B,C,D,E,F) -> f0(A + B,-1*B,C,B + D,E,F) [0 >= 1 + B] (?,1) 2. f0(A,B,C,D,E,F) -> f0(A,B + D,C,-1*D,D + E,F) [0 >= 1 + D] (?,1) 3. f0(A,B,C,D,E,F) -> f0(A,B,C + E,D + E,-1*E,F) [0 >= 1 + E] (?,1) 4. f0(A,B,C,D,E,F) -> f0(A + C,B,-1*C,D,C + E,F) [0 >= 1 + C] (?,1) 5. f1(A,B,C,D,E,F) -> f0(G,H,K,I,J,G + H + I + J + K) [G + H + I + J + K >= 1] (1,1) 6. f0(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True (?,1) Signature: {(exitus616,6);(f0,6);(f1,6)} Flow Graph: [0->{0,1,2,3,4,6},1->{0,1,2,3,4,6},2->{0,1,2,3,4,6},3->{0,1,2,3,4,6},4->{0,1,2,3,4,6},5->{0,1,2,3,4,6} ,6->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,0),(1,1),(2,2),(3,3),(4,4)] * Step 4: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1*A,A + B,A + C,D,E,F) [0 >= 1 + A] (?,1) 1. f0(A,B,C,D,E,F) -> f0(A + B,-1*B,C,B + D,E,F) [0 >= 1 + B] (?,1) 2. f0(A,B,C,D,E,F) -> f0(A,B + D,C,-1*D,D + E,F) [0 >= 1 + D] (?,1) 3. f0(A,B,C,D,E,F) -> f0(A,B,C + E,D + E,-1*E,F) [0 >= 1 + E] (?,1) 4. f0(A,B,C,D,E,F) -> f0(A + C,B,-1*C,D,C + E,F) [0 >= 1 + C] (?,1) 5. f1(A,B,C,D,E,F) -> f0(G,H,K,I,J,G + H + I + J + K) [G + H + I + J + K >= 1] (1,1) 6. f0(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True (?,1) Signature: {(exitus616,6);(f0,6);(f1,6)} Flow Graph: [0->{1,2,3,4,6},1->{0,2,3,4,6},2->{0,1,3,4,6},3->{0,1,2,4,6},4->{0,1,2,3,6},5->{0,1,2,3,4,6},6->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0,1,2,3,4] c: [] MAYBE