YES(?,O(1)) * Step 1: ArgumentFilter WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C) -> f5(A,0,C) [A >= 128] (1,1) 1. f0(A,B,C) -> f7(A,0,D) [127 >= A] (1,1) 2. f7(A,B,C) -> f7(A,1 + B,1 + C) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] (?,1) 3. f7(A,B,C) -> f5(A,B,C) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] (?,1) Signature: {(f0,3);(f5,3);(f7,3)} Flow Graph: [0->{},1->{2,3},2->{2,3},3->{}] + Applied Processor: ArgumentFilter [2] + Details: We remove following argument positions: [2]. * Step 2: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B) -> f5(A,0) [A >= 128] (1,1) 1. f0(A,B) -> f7(A,0) [127 >= A] (1,1) 2. f7(A,B) -> f7(A,1 + B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] (?,1) 3. f7(A,B) -> f5(A,B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] (?,1) Signature: {(f0,3);(f5,3);(f7,3)} Flow Graph: [0->{},1->{2,3},2->{2,3},3->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,3)] * Step 3: FromIts WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B) -> f5(A,0) [A >= 128] (1,1) 1. f0(A,B) -> f7(A,0) [127 >= A] (1,1) 2. f7(A,B) -> f7(A,1 + B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] (?,1) 3. f7(A,B) -> f5(A,B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] (?,1) Signature: {(f0,3);(f5,3);(f7,3)} Flow Graph: [0->{},1->{2},2->{2,3},3->{}] + Applied Processor: FromIts + Details: () * Step 4: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: f0(A,B) -> f5(A,0) [A >= 128] f0(A,B) -> f7(A,0) [127 >= A] f7(A,B) -> f7(A,1 + B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] f7(A,B) -> f5(A,B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] Signature: {(f0,3);(f5,3);(f7,3)} Rule Graph: [0->{},1->{2},2->{2,3},3->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,O(1)) + Considered Problem: Rules: f0(A,B) -> f5(A,0) [A >= 128] f0(A,B) -> f7(A,0) [127 >= A] f7(A,B) -> f7(A,1 + B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] f7(A,B) -> f5(A,B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] f5(A,B) -> exitus616(A,B) True f5(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0,3);(f5,3);(f7,3)} Rule Graph: [0->{5},1->{2},2->{2,3},3->{4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2] c: [2] * Step 6: AbstractSize WORST_CASE(?,O(1)) + Considered Problem: (Rules: f0(A,B) -> f5(A,0) [A >= 128] f0(A,B) -> f7(A,0) [127 >= A] f7(A,B) -> f7(A,1 + B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && 35 >= B] f7(A,B) -> f5(A,B) [B >= 0 && 127 + -1*A + B >= 0 && 127 + -1*A >= 0 && B >= 36] f5(A,B) -> exitus616(A,B) True f5(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f0,3);(f5,3);(f7,3)} Rule Graph: [0->{5},1->{2},2->{2,3},3->{4}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2] c: [2]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B,0.0] f0 ~> f5 [A <= A, B <= 0*K] f0 ~> f7 [A <= A, B <= 0*K] f7 ~> f7 [A <= A, B <= 36*K] f7 ~> f5 [A <= A, B <= B] f5 ~> exitus616 [A <= A, B <= B] f5 ~> exitus616 [A <= A, B <= B] + Loop: [0.0 <= 35*K + B] f7 ~> f7 [A <= A, B <= 36*K] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B,0.0] f0 ~> f5 [K ~=> B] f0 ~> f7 [K ~=> B] f7 ~> f7 [K ~=> B] f7 ~> f5 [] f5 ~> exitus616 [] f5 ~> exitus616 [] + Loop: [B ~+> 0.0,K ~*> 0.0] f7 ~> f7 [K ~=> B] + Applied Processor: Lare + Details: f0 ~> exitus616 [K ~=> B,tick ~+> tick,K ~+> 0.0,K ~+> tick,K ~*> 0.0,K ~*> tick] + f7> [K ~=> B,B ~+> 0.0,B ~+> tick,tick ~+> tick,K ~*> 0.0,K ~*> tick] YES(?,O(1))