MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f4(A) -> f12(A) [A >= 4] (?,1) 1. f4(A) -> f4(1) [0 >= A && 3 >= A] (?,1) 2. f4(A) -> f4(1 + A) [3 >= A && A >= 1] (?,1) 3. f0(A) -> f4(B) True (1,1) Signature: {(f0,1);(f12,1);(f4,1)} Flow Graph: [0->{},1->{0,1,2},2->{0,1,2},3->{0,1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,0),(1,1),(2,1)] * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f4(A) -> f12(A) [A >= 4] (?,1) 1. f4(A) -> f4(1) [0 >= A && 3 >= A] (?,1) 2. f4(A) -> f4(1 + A) [3 >= A && A >= 1] (?,1) 3. f0(A) -> f4(B) True (1,1) Signature: {(f0,1);(f12,1);(f4,1)} Flow Graph: [0->{},1->{2},2->{0,2},3->{0,1,2}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f4(A) -> f12(A) [A >= 4] f4(A) -> f4(1) [0 >= A && 3 >= A] f4(A) -> f4(1 + A) [3 >= A && A >= 1] f0(A) -> f4(B) True Signature: {(f0,1);(f12,1);(f4,1)} Rule Graph: [0->{},1->{2},2->{0,2},3->{0,1,2}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose MAYBE + Considered Problem: Rules: f4(A) -> f12(A) [A >= 4] f4(A) -> f4(1) [0 >= A && 3 >= A] f4(A) -> f4(1 + A) [3 >= A && A >= 1] f0(A) -> f4(B) True f12(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,1);(f12,1);(f4,1)} Rule Graph: [0->{4},1->{2},2->{0,2},3->{0,1,2}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[2] c: [2] * Step 5: AbstractSize MAYBE + Considered Problem: (Rules: f4(A) -> f12(A) [A >= 4] f4(A) -> f4(1) [0 >= A && 3 >= A] f4(A) -> f4(1 + A) [3 >= A && A >= 1] f0(A) -> f4(B) True f12(A) -> exitus616(A) True Signature: {(exitus616,1);(f0,1);(f12,1);(f4,1)} Rule Graph: [0->{4},1->{2},2->{0,2},3->{0,1,2}] ,We construct a looptree: P: [0,1,2,3,4] | `- p:[2] c: [2]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,0.0] f4 ~> f12 [A <= A] f4 ~> f4 [A <= K] f4 ~> f4 [A <= 4*K] f0 ~> f4 [A <= unknown] f12 ~> exitus616 [A <= A] + Loop: [0.0 <= 3*K + A] f4 ~> f4 [A <= 4*K] + Applied Processor: AbstractFlow + Details: () * Step 7: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,0.0] f4 ~> f12 [] f4 ~> f4 [K ~=> A] f4 ~> f4 [K ~=> A] f0 ~> f4 [huge ~=> A] f12 ~> exitus616 [] + Loop: [A ~+> 0.0,K ~*> 0.0] f4 ~> f4 [K ~=> A] + Applied Processor: Lare + Details: Unknown bound. MAYBE