MAYBE * Step 1: UnsatPaths 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: UnsatPaths + Details: We remove following edges from the transition graph: [(0,2),(2,2)] * Step 2: FromIts 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},1->{1,2},2->{1}] + Applied Processor: FromIts + Details: () * Step 3: Unfold MAYBE + Considered Problem: Rules: f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 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] 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] Signature: {(f0,6);(f3,6)} Rule Graph: [0->{1},1->{1,2},2->{1}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks MAYBE + Considered Problem: Rules: f3.0(A,B,C,D,E,F) -> f0.1(5000,B,G,D,E,F) [G >= 1] f0.1(A,B,C,D,E,F) -> f0.1(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.1(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.2(A,B,C,D,E,F) -> f0.1(5000,B,C,D,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] Signature: {(f0.1,6);(f0.2,6);(f3.0,6)} Rule Graph: [0->{1,2},1->{1,2},2->{3},3->{1,2}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose MAYBE + Considered Problem: Rules: f3.0(A,B,C,D,E,F) -> f0.1(5000,B,G,D,E,F) [G >= 1] f0.1(A,B,C,D,E,F) -> f0.1(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.1(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.2(A,B,C,D,E,F) -> f0.1(5000,B,C,D,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] f0.1(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.1(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.2(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True Signature: {(exitus616,6);(f0.1,6);(f0.2,6);(f3.0,6)} Rule Graph: [0->{1,2},1->{1,2,4},2->{3,6},3->{1,2,5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[1,3,2] c: [1,2,3] * Step 6: AbstractSize MAYBE + Considered Problem: (Rules: f3.0(A,B,C,D,E,F) -> f0.1(5000,B,G,D,E,F) [G >= 1] f0.1(A,B,C,D,E,F) -> f0.1(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.1(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && A >= 1] f0.2(A,B,C,D,E,F) -> f0.1(5000,B,C,D,E,F) [4999 + -1*A + C >= 0 && 5000 + -1*A >= 0 && 0 >= A && C >= 1] f0.1(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.1(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.2(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True Signature: {(exitus616,6);(f0.1,6);(f0.2,6);(f3.0,6)} Rule Graph: [0->{1,2},1->{1,2,4},2->{3,6},3->{1,2,5}] ,We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[1,3,2] c: [1,2,3]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,B,C,D,E,F,0.0] f3.0 ~> f0.1 [A <= 5000*K, B <= B, C <= unknown, D <= D, E <= E, F <= F] f0.1 ~> f0.1 [A <= 4999*K, B <= C, C <= A + C, D <= A, E <= E, F <= F] f0.1 ~> f0.2 [A <= 4999*K, B <= C, C <= A + C, D <= A, E <= E, F <= F] f0.2 ~> f0.1 [A <= 5000*K, B <= B, C <= C, D <= D, E <= E, F <= F] f0.1 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F] f0.1 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F] f0.2 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F] + Loop: [0.0 <= 9997*K + A + 2*C] f0.1 ~> f0.1 [A <= 4999*K, B <= C, C <= A + C, D <= A, E <= E, F <= F] f0.2 ~> f0.1 [A <= 5000*K, B <= B, C <= C, D <= D, E <= E, F <= F] f0.1 ~> f0.2 [A <= 4999*K, B <= C, C <= A + C, D <= A, E <= E, F <= F] + Applied Processor: AbstractFlow + Details: () * Step 8: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,0.0] f3.0 ~> f0.1 [K ~=> A,huge ~=> C] f0.1 ~> f0.1 [A ~=> D,C ~=> B,K ~=> A,A ~+> C,C ~+> C] f0.1 ~> f0.2 [A ~=> D,C ~=> B,K ~=> A,A ~+> C,C ~+> C] f0.2 ~> f0.1 [K ~=> A] f0.1 ~> exitus616 [] f0.1 ~> exitus616 [] f0.2 ~> exitus616 [] + Loop: [A ~+> 0.0,C ~*> 0.0,K ~*> 0.0] f0.1 ~> f0.1 [A ~=> D,C ~=> B,K ~=> A,A ~+> C,C ~+> C] f0.2 ~> f0.1 [K ~=> A] f0.1 ~> f0.2 [A ~=> D,C ~=> B,K ~=> A,A ~+> C,C ~+> C] + Applied Processor: Lare + Details: Unknown bound. MAYBE