MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B,C,D,E,F) -> f0(A,B,C,D,E,F) True (1,1) 1. f0(A,B,C,D,E,F) -> f0(-1 + A,B,I,G,H,F) [H >= 1 && A >= 1] (?,1) 2. f0(A,B,C,D,E,F) -> f0(-1 + A,B,I,G,H,F) [0 >= 1 + H && A >= 1] (?,1) 3. f0(A,B,C,D,E,F) -> f0(A,B,-1 + C,G,0,H) [A >= 1 && C >= 3] (?,1) 4. f0(A,B,C,D,E,F) -> f2(A,G,C,D,E,F) [0 >= A] (?,1) Signature: {(f0,6);(f1,6);(f2,6)} Flow Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3,4},4->{}] + Applied Processor: ArgumentFilter [1,3,4,5] + Details: We remove following argument positions: [1,3,4,5]. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f1(A,C) -> f0(A,C) True (1,1) 1. f0(A,C) -> f0(-1 + A,I) [H >= 1 && A >= 1] (?,1) 2. f0(A,C) -> f0(-1 + A,I) [0 >= 1 + H && A >= 1] (?,1) 3. f0(A,C) -> f0(A,-1 + C) [A >= 1 && C >= 3] (?,1) 4. f0(A,C) -> f2(A,C) [0 >= A] (?,1) Signature: {(f0,6);(f1,6);(f2,6)} Flow Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3,4},4->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(3,4)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f1(A,C) -> f0(A,C) True (1,1) 1. f0(A,C) -> f0(-1 + A,I) [H >= 1 && A >= 1] (?,1) 2. f0(A,C) -> f0(-1 + A,I) [0 >= 1 + H && A >= 1] (?,1) 3. f0(A,C) -> f0(A,-1 + C) [A >= 1 && C >= 3] (?,1) 4. f0(A,C) -> f2(A,C) [0 >= A] (?,1) Signature: {(f0,6);(f1,6);(f2,6)} Flow Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f1(A,C) -> f0(A,C) True f0(A,C) -> f0(-1 + A,I) [H >= 1 && A >= 1] f0(A,C) -> f0(-1 + A,I) [0 >= 1 + H && A >= 1] f0(A,C) -> f0(A,-1 + C) [A >= 1 && C >= 3] f0(A,C) -> f2(A,C) [0 >= A] Signature: {(f0,6);(f1,6);(f2,6)} Rule Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose MAYBE + Considered Problem: Rules: f1(A,C) -> f0(A,C) True f0(A,C) -> f0(-1 + A,I) [H >= 1 && A >= 1] f0(A,C) -> f0(-1 + A,I) [0 >= 1 + H && A >= 1] f0(A,C) -> f0(A,-1 + C) [A >= 1 && C >= 3] f0(A,C) -> f2(A,C) [0 >= A] f2(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f0,6);(f1,6);(f2,6)} Rule Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1,2,3] c: [1,2] | `- p:[3] c: [3] * Step 6: AbstractSize MAYBE + Considered Problem: (Rules: f1(A,C) -> f0(A,C) True f0(A,C) -> f0(-1 + A,I) [H >= 1 && A >= 1] f0(A,C) -> f0(-1 + A,I) [0 >= 1 + H && A >= 1] f0(A,C) -> f0(A,-1 + C) [A >= 1 && C >= 3] f0(A,C) -> f2(A,C) [0 >= A] f2(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f0,6);(f1,6);(f2,6)} Rule Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{5}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1,2,3] c: [1,2] | `- p:[3] c: [3]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,C,0.0,0.0.0] f1 ~> f0 [A <= A, C <= C] f0 ~> f0 [A <= A, C <= unknown] f0 ~> f0 [A <= A, C <= unknown] f0 ~> f0 [A <= A, C <= C] f0 ~> f2 [A <= A, C <= C] f2 ~> exitus616 [A <= A, C <= C] + Loop: [0.0 <= K + A] f0 ~> f0 [A <= A, C <= unknown] f0 ~> f0 [A <= A, C <= unknown] f0 ~> f0 [A <= A, C <= C] + Loop: [0.0.0 <= 3*K + C] f0 ~> f0 [A <= A, C <= C] + Applied Processor: AbstractFlow + Details: () * Step 8: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,C,0.0,0.0.0] f1 ~> f0 [] f0 ~> f0 [huge ~=> C] f0 ~> f0 [huge ~=> C] f0 ~> f0 [] f0 ~> f2 [] f2 ~> exitus616 [] + Loop: [A ~+> 0.0,K ~+> 0.0] f0 ~> f0 [huge ~=> C] f0 ~> f0 [huge ~=> C] f0 ~> f0 [] + Loop: [C ~+> 0.0.0,K ~*> 0.0.0] f0 ~> f0 [] + Applied Processor: Lare + Details: Unknown bound. MAYBE