MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D) -> f14(E,E,0,D) [0 >= E] (1,1) 1. f0(A,B,C,D) -> f14(E,E,0,D) [E >= 1024] (1,1) 2. f0(A,B,C,D) -> f14(E,E,0,F) [1023 >= E && E >= 1] (1,1) 3. f14(A,B,C,D) -> f14(A,B,1 + C,D) [C >= 0 && E >= 1 + C] (?,1) 4. f14(A,B,C,D) -> f22(A,B,C,D) [C >= 0 && C >= E] (?,1) Signature: {(f0,4);(f14,4);(f22,4)} Flow Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{}] + Applied Processor: ArgumentFilter [0,1,3] + Details: We remove following argument positions: [0,1,3]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f0(C) -> f14(0) [0 >= E] (1,1) 1. f0(C) -> f14(0) [E >= 1024] (1,1) 2. f0(C) -> f14(0) [1023 >= E && E >= 1] (1,1) 3. f14(C) -> f14(1 + C) [C >= 0 && E >= 1 + C] (?,1) 4. f14(C) -> f22(C) [C >= 0 && C >= E] (?,1) Signature: {(f0,4);(f14,4);(f22,4)} Flow Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f0(C) -> f14(0) [0 >= E] f0(C) -> f14(0) [E >= 1024] f0(C) -> f14(0) [1023 >= E && E >= 1] f14(C) -> f14(1 + C) [C >= 0 && E >= 1 + C] f14(C) -> f22(C) [C >= 0 && C >= E] Signature: {(f0,4);(f14,4);(f22,4)} Rule Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: f0(C) -> f14(0) [0 >= E] f0(C) -> f14(0) [E >= 1024] f0(C) -> f14(0) [1023 >= E && E >= 1] f14(C) -> f14(1 + C) [C >= 0 && E >= 1 + C] f14(C) -> f22(C) [C >= 0 && C >= E] f22(C) -> exitus616(C) True f22(C) -> exitus616(C) True f22(C) -> exitus616(C) True Signature: {(exitus616,1);(f0,4);(f14,4);(f22,4)} Rule Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{5,6,7}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7] | `- p:[3] c: [] MAYBE