MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. f0(A) -> f5(B) [B >= 1] (1,1) 1. f5(A) -> f5(1 + A) [-1 + A >= 0 && 19 >= A] (?,1) 2. f0(A) -> f12(B) [0 >= B] (1,1) 3. f5(A) -> f12(A) [-1 + A >= 0 && A >= 20] (?,1) Signature: {(f0,1);(f12,1);(f5,1)} Flow Graph: [0->{1,3},1->{1,3},2->{},3->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: f0(A) -> f5(B) [B >= 1] f5(A) -> f5(1 + A) [-1 + A >= 0 && 19 >= A] f0(A) -> f12(B) [0 >= B] f5(A) -> f12(A) [-1 + A >= 0 && A >= 20] Signature: {(f0,1);(f12,1);(f5,1)} Rule Graph: [0->{1,3},1->{1,3},2->{},3->{}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose MAYBE + Considered Problem: Rules: f0(A) -> f5(B) [B >= 1] f5(A) -> f5(1 + A) [-1 + A >= 0 && 19 >= A] f0(A) -> f12(B) [0 >= B] f5(A) -> f12(A) [-1 + A >= 0 && A >= 20] f12(A) -> exitus616(A) True f12(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,1);(f12,1);(f5,1)} Rule Graph: [0->{1,3},1->{1,3},2->{4},3->{5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1] c: [1] * Step 4: AbstractSize MAYBE + Considered Problem: (Rules: f0(A) -> f5(B) [B >= 1] f5(A) -> f5(1 + A) [-1 + A >= 0 && 19 >= A] f0(A) -> f12(B) [0 >= B] f5(A) -> f12(A) [-1 + A >= 0 && A >= 20] f12(A) -> exitus616(A) True f12(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,1);(f12,1);(f5,1)} Rule Graph: [0->{1,3},1->{1,3},2->{4},3->{5}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1] c: [1]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,0.0] f0 ~> f5 [A <= unknown] f5 ~> f5 [A <= 20*K] f0 ~> f12 [A <= unknown] f5 ~> f12 [A <= A] f12 ~> exitus616 [A <= A] f12 ~> exitus616 [A <= A] + Loop: [0.0 <= 19*K + A] f5 ~> f5 [A <= 20*K] + Applied Processor: AbstractFlow + Details: () * Step 6: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,0.0] f0 ~> f5 [huge ~=> A] f5 ~> f5 [K ~=> A] f0 ~> f12 [huge ~=> A] f5 ~> f12 [] f12 ~> exitus616 [] f12 ~> exitus616 [] + Loop: [A ~+> 0.0,K ~*> 0.0] f5 ~> f5 [K ~=> A] + Applied Processor: Lare + Details: Unknown bound. MAYBE