MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J) -> f31(1,B,C,D,E,K,0,1,L,L) [K >= 1 && 0 >= L] (1,1) 1. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,0,1,L,L) [K >= 1 && L >= 1] (1,1) 2. f0(A,B,C,D,E,F,G,H,I,J) -> f18(1,B,C,D,E,K,K,H,I,J) [0 >= K] (1,1) 3. f31(A,B,C,D,E,F,G,H,I,J) -> f31(A,B,C,D,E,F,G,H,I,J) [-1*G >= 0 && A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && A >= 0] (?,1) 4. f18(A,B,C,D,E,F,G,H,I,J) -> f24(0,B,K,D,K,F,G,H,I,J) [-1*G >= 0 && -1 + A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && -1 + A >= 0 && A >= 1] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J) -> f31(1,L,C,K,E,F,G,H,I,J) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && K >= 1000 + C] (?,1) 6. f24(A,B,C,D,E,F,G,H,I,J) -> f31(A,L,C,K,E,F,G,H,I,J) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && 999 + C >= K] (?,1) Signature: {(f0,10);(f18,10);(f24,10);(f31,10)} Flow Graph: [0->{3},1->{4},2->{4},3->{3},4->{5,6},5->{3},6->{3}] + Applied Processor: ArgumentFilter [1,3,4,5,7,8,9] + Details: We remove following argument positions: [1,3,4,5,7,8,9]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,C,G) -> f31(1,C,0) [K >= 1 && 0 >= L] (1,1) 1. f0(A,C,G) -> f18(1,C,0) [K >= 1 && L >= 1] (1,1) 2. f0(A,C,G) -> f18(1,C,K) [0 >= K] (1,1) 3. f31(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && A >= 0] (?,1) 4. f18(A,C,G) -> f24(0,K,G) [-1*G >= 0 && -1 + A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && -1 + A >= 0 && A >= 1] (?,1) 5. f24(A,C,G) -> f31(1,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && K >= 1000 + C] (?,1) 6. f24(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && 999 + C >= K] (?,1) Signature: {(f0,10);(f18,10);(f24,10);(f31,10)} Flow Graph: [0->{3},1->{4},2->{4},3->{3},4->{5,6},5->{3},6->{3}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f0(A,C,G) -> f31(1,C,0) [K >= 1 && 0 >= L] f0(A,C,G) -> f18(1,C,0) [K >= 1 && L >= 1] f0(A,C,G) -> f18(1,C,K) [0 >= K] f31(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && A >= 0] f18(A,C,G) -> f24(0,K,G) [-1*G >= 0 && -1 + A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && -1 + A >= 0 && A >= 1] f24(A,C,G) -> f31(1,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && K >= 1000 + C] f24(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && 999 + C >= K] Signature: {(f0,10);(f18,10);(f24,10);(f31,10)} Rule Graph: [0->{3},1->{4},2->{4},3->{3},4->{5,6},5->{3},6->{3}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f0(A,C,G) -> f31(1,C,0) [K >= 1 && 0 >= L] f0(A,C,G) -> f18(1,C,0) [K >= 1 && L >= 1] f0(A,C,G) -> f18(1,C,K) [0 >= K] f31(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && A >= 0] f18(A,C,G) -> f24(0,K,G) [-1*G >= 0 && -1 + A + -1*G >= 0 && 1 + -1*A + -1*G >= 0 && 1 + -1*A >= 0 && -1 + A >= 0 && A >= 1] f24(A,C,G) -> f31(1,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && K >= 1000 + C] f24(A,C,G) -> f31(A,C,G) [-1*G >= 0 && A + -1*G >= 0 && -1*A + -1*G >= 0 && -1*A >= 0 && A >= 0 && 0 >= A && 999 + C >= K] f31(A,C,G) -> exitus616(A,C,G) True f31(A,C,G) -> exitus616(A,C,G) True f31(A,C,G) -> exitus616(A,C,G) True f31(A,C,G) -> exitus616(A,C,G) True f31(A,C,G) -> exitus616(A,C,G) True Signature: {(exitus616,3);(f0,10);(f18,10);(f24,10);(f31,10)} Rule Graph: [0->{3},1->{4},2->{4},3->{3,7,8,9,10,11},4->{5,6},5->{3},6->{3}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11] | `- p:[3] c: [] MAYBE