MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 1] (1,1) 1. f0(A,B,C,D,E,F) -> f0(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] (?,1) 2. f0(A,B,C,D,E,F) -> f0(5000,B,C,D,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] (?,1) Signature: {(f0,6);(f3,6)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + 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. f3(A,C) -> f0(5000,G) [G >= 1] (1,1) 1. f0(A,C) -> f0(-1 + A,-1 + C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] (?,1) 2. f0(A,C) -> f0(5000,C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] (?,1) Signature: {(f0,6);(f3,6)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,2),(2,2)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f3(A,C) -> f0(5000,G) [G >= 1] (1,1) 1. f0(A,C) -> f0(-1 + A,-1 + C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] (?,1) 2. f0(A,C) -> f0(5000,C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] (?,1) Signature: {(f0,6);(f3,6)} Flow Graph: [0->{1},1->{1,2},2->{1}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f3(A,C) -> f0(5000,G) [G >= 1] f0(A,C) -> f0(-1 + A,-1 + C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0(A,C) -> f0(5000,C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] Signature: {(f0,6);(f3,6)} Rule Graph: [0->{1},1->{1,2},2->{1}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose MAYBE + Considered Problem: Rules: f3(A,C) -> f0(5000,G) [G >= 1] f0(A,C) -> f0(-1 + A,-1 + C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0(A,C) -> f0(5000,C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] f0(A,C) -> exitus616(A,C) True f0(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f0,6);(f3,6)} Rule Graph: [0->{1},1->{1,2,3},2->{1,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [1,2] * Step 6: AbstractSize MAYBE + Considered Problem: (Rules: f3(A,C) -> f0(5000,G) [G >= 1] f0(A,C) -> f0(-1 + A,-1 + C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0(A,C) -> f0(5000,C) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] f0(A,C) -> exitus616(A,C) True f0(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f0,6);(f3,6)} Rule Graph: [0->{1},1->{1,2,3},2->{1,4}] ,We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [1,2]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,C,0.0] f3 ~> f0 [A <= 5000*K, C <= unknown] f0 ~> f0 [A <= 4999*K, C <= A + C] f0 ~> f0 [A <= 5000*K, C <= C] f0 ~> exitus616 [A <= A, C <= C] f0 ~> exitus616 [A <= A, C <= C] + Loop: [0.0 <= 4998*K + A + C] f0 ~> f0 [A <= 4999*K, C <= A + C] f0 ~> f0 [A <= 5000*K, C <= C] + Applied Processor: AbstractFlow + Details: () * Step 8: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,C,0.0] f3 ~> f0 [K ~=> A,huge ~=> C] f0 ~> f0 [K ~=> A,A ~+> C,C ~+> C] f0 ~> f0 [K ~=> A] f0 ~> exitus616 [] f0 ~> exitus616 [] + Loop: [A ~+> 0.0,C ~+> 0.0,K ~*> 0.0] f0 ~> f0 [K ~=> A,A ~+> C,C ~+> C] f0 ~> f0 [K ~=> A] + Applied Processor: Lare + Details: Unknown bound. MAYBE