MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f300(A,D) [A = 0] (?,1) 1. f2(A,B) -> f300(0,D) [A >= 1] (?,1) 2. f2(A,B) -> f300(0,D) [0 >= 1 + A] (?,1) 3. f3(A,B) -> f2(A,B) True (1,1) 4. f2(A,B) -> f2(1 + D,B) [C >= 0 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + D,B) [0 >= 2 + C && A >= 1] (?,1) 6. f2(A,B) -> f2(1 + D,B) [C >= 2 && 0 >= 1 + A] (?,1) 7. f2(A,B) -> f2(-1 + D,B) [0 >= C && 0 >= 1 + A] (?,1) Signature: {(f2,2);(f3,2);(f300,2)} Flow Graph: [0->{},1->{},2->{},3->{0,1,2,4,5,6,7},4->{0,1,2,4,5,6,7},5->{0,1,2,4,5,6,7},6->{0,1,2,4,5,6,7},7->{0,1,2,4 ,5,6,7}] + Applied Processor: ArgumentFilter [1] + Details: We remove following argument positions: [1]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f2(A) -> f300(A) [A = 0] (?,1) 1. f2(A) -> f300(0) [A >= 1] (?,1) 2. f2(A) -> f300(0) [0 >= 1 + A] (?,1) 3. f3(A) -> f2(A) True (1,1) 4. f2(A) -> f2(1 + D) [C >= 0 && A >= 1] (?,1) 5. f2(A) -> f2(-1 + D) [0 >= 2 + C && A >= 1] (?,1) 6. f2(A) -> f2(1 + D) [C >= 2 && 0 >= 1 + A] (?,1) 7. f2(A) -> f2(-1 + D) [0 >= C && 0 >= 1 + A] (?,1) Signature: {(f2,2);(f3,2);(f300,2)} Flow Graph: [0->{},1->{},2->{},3->{0,1,2,4,5,6,7},4->{0,1,2,4,5,6,7},5->{0,1,2,4,5,6,7},6->{0,1,2,4,5,6,7},7->{0,1,2,4 ,5,6,7}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f2(A) -> f300(A) [A = 0] f2(A) -> f300(0) [A >= 1] f2(A) -> f300(0) [0 >= 1 + A] f3(A) -> f2(A) True f2(A) -> f2(1 + D) [C >= 0 && A >= 1] f2(A) -> f2(-1 + D) [0 >= 2 + C && A >= 1] f2(A) -> f2(1 + D) [C >= 2 && 0 >= 1 + A] f2(A) -> f2(-1 + D) [0 >= C && 0 >= 1 + A] Signature: {(f2,2);(f3,2);(f300,2)} Rule Graph: [0->{},1->{},2->{},3->{0,1,2,4,5,6,7},4->{0,1,2,4,5,6,7},5->{0,1,2,4,5,6,7},6->{0,1,2,4,5,6,7},7->{0,1,2,4 ,5,6,7}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f2(A) -> f300(A) [A = 0] f2(A) -> f300(0) [A >= 1] f2(A) -> f300(0) [0 >= 1 + A] f3(A) -> f2(A) True f2(A) -> f2(1 + D) [C >= 0 && A >= 1] f2(A) -> f2(-1 + D) [0 >= 2 + C && A >= 1] f2(A) -> f2(1 + D) [C >= 2 && 0 >= 1 + A] f2(A) -> f2(-1 + D) [0 >= C && 0 >= 1 + A] f300(A) -> exitus616(A) True f300(A) -> exitus616(A) True f300(A) -> exitus616(A) True Signature: {(exitus616,1);(f2,2);(f3,2);(f300,2)} Rule Graph: [0->{10},1->{9},2->{8},3->{0,1,2,4,5,6,7},4->{0,1,2,4,5,6,7},5->{0,1,2,4,5,6,7},6->{0,1,2,4,5,6,7},7->{0,1 ,2,4,5,6,7}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | `- p:[4,5,6,7] c: [] MAYBE