MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f3(A,B) -> f12(A,B) [A >= 10] (?,1) 1. f3(A,B) -> f3(1 + A,A) [9 >= A && A >= 6] (?,1) 2. f3(A,B) -> f3(1 + A,A) [9 >= A && 4 >= A] (?,1) 3. f3(A,B) -> f3(1 + C,B) [A = 5] (?,1) 4. f0(A,B) -> f3(0,B) True (1,1) Signature: {(f0,2);(f12,2);(f3,2)} Flow Graph: [0->{},1->{0,1,2,3},2->{0,1,2,3},3->{0,1,2,3},4->{0,1,2,3}] + Applied Processor: ArgumentFilter [1] + Details: We remove following argument positions: [1]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f3(A) -> f12(A) [A >= 10] (?,1) 1. f3(A) -> f3(1 + A) [9 >= A && A >= 6] (?,1) 2. f3(A) -> f3(1 + A) [9 >= A && 4 >= A] (?,1) 3. f3(A) -> f3(1 + C) [A = 5] (?,1) 4. f0(A) -> f3(0) True (1,1) Signature: {(f0,2);(f12,2);(f3,2)} Flow Graph: [0->{},1->{0,1,2,3},2->{0,1,2,3},3->{0,1,2,3},4->{0,1,2,3}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(1,3),(2,0),(2,1),(4,0),(4,1),(4,3)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f3(A) -> f12(A) [A >= 10] (?,1) 1. f3(A) -> f3(1 + A) [9 >= A && A >= 6] (?,1) 2. f3(A) -> f3(1 + A) [9 >= A && 4 >= A] (?,1) 3. f3(A) -> f3(1 + C) [A = 5] (?,1) 4. f0(A) -> f3(0) True (1,1) Signature: {(f0,2);(f12,2);(f3,2)} Flow Graph: [0->{},1->{0,1},2->{2,3},3->{0,1,2,3},4->{2}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f3(A) -> f12(A) [A >= 10] f3(A) -> f3(1 + A) [9 >= A && A >= 6] f3(A) -> f3(1 + A) [9 >= A && 4 >= A] f3(A) -> f3(1 + C) [A = 5] f0(A) -> f3(0) True Signature: {(f0,2);(f12,2);(f3,2)} Rule Graph: [0->{},1->{0,1},2->{2,3},3->{0,1,2,3},4->{2}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: f3(A) -> f12(A) [A >= 10] f3(A) -> f3(1 + A) [9 >= A && A >= 6] f3(A) -> f3(1 + A) [9 >= A && 4 >= A] f3(A) -> f3(1 + C) [A = 5] f0(A) -> f3(0) True f12(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,2);(f12,2);(f3,2)} Rule Graph: [0->{5},1->{0,1},2->{2,3},3->{0,1,2,3},4->{2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | +- p:[2,3] c: [] | `- p:[1] c: [1] MAYBE