MAYBE * Step 1: UnreachableRules MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1 + A,C,-1 + C,A,E,F) [A >= 1] (?,1) 1. f1(A,B,C,D,E,F) -> f0(-1 + A,B,-1 + C,D,C,A) [A >= 1 && C >= 1] (?,1) 2. f0(A,B,C,D,E,F) -> f0(5000,B,C,D,E,F) [0 >= A && C >= 1] (?,1) 3. f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 1] (1,1) Signature: {(f0,6);(f1,6);(f3,6)} Flow Graph: [0->{0,2},1->{0,2},2->{0,2},3->{0,2}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [1] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1 + A,C,-1 + C,A,E,F) [A >= 1] (?,1) 2. f0(A,B,C,D,E,F) -> f0(5000,B,C,D,E,F) [0 >= A && C >= 1] (?,1) 3. f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 1] (1,1) Signature: {(f0,6);(f1,6);(f3,6)} Flow Graph: [0->{0,2},2->{0,2},3->{0,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,2),(3,2)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F) -> f0(-1 + A,C,-1 + C,A,E,F) [A >= 1] (?,1) 2. f0(A,B,C,D,E,F) -> f0(5000,B,C,D,E,F) [0 >= A && C >= 1] (?,1) 3. f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 1] (1,1) Signature: {(f0,6);(f1,6);(f3,6)} Flow Graph: [0->{0,2},2->{0},3->{0}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: f0(A,B,C,D,E,F) -> f0(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0(A,B,C,D,E,F) -> f0(5000,B,C,D,E,F) [0 >= A && C >= 1] f3(A,B,C,D,E,F) -> f0(5000,B,G,D,E,F) [G >= 1] Signature: {(f0,6);(f1,6);(f3,6)} Rule Graph: [0->{0,2},2->{0},3->{0}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: f0.0(A,B,C,D,E,F) -> f0.0(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.0(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.2(A,B,C,D,E,F) -> f0.0(5000,B,C,D,E,F) [0 >= A && C >= 1] f3.3(A,B,C,D,E,F) -> f0.0(5000,B,G,D,E,F) [G >= 1] Signature: {(f0.0,6);(f0.2,6);(f3.3,6)} Rule Graph: [0->{0,1},1->{2},2->{0,1},3->{0,1}] + Applied Processor: AddSinks + Details: () * Step 6: Decompose MAYBE + Considered Problem: Rules: f0.0(A,B,C,D,E,F) -> f0.0(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.0(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.2(A,B,C,D,E,F) -> f0.0(5000,B,C,D,E,F) [0 >= A && C >= 1] f3.3(A,B,C,D,E,F) -> f0.0(5000,B,G,D,E,F) [G >= 1] f0.0(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.0(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);(f0.0,6);(f0.2,6);(f3.3,6)} Rule Graph: [0->{0,1,4},1->{2,6},2->{0,1,5},3->{0,1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0,2,1] c: [2] | `- p:[0] c: [0] * Step 7: AbstractSize MAYBE + Considered Problem: (Rules: f0.0(A,B,C,D,E,F) -> f0.0(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.0(A,B,C,D,E,F) -> f0.2(-1 + A,C,-1 + C,A,E,F) [A >= 1] f0.2(A,B,C,D,E,F) -> f0.0(5000,B,C,D,E,F) [0 >= A && C >= 1] f3.3(A,B,C,D,E,F) -> f0.0(5000,B,G,D,E,F) [G >= 1] f0.0(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True f0.0(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);(f0.0,6);(f0.2,6);(f3.3,6)} Rule Graph: [0->{0,1,4},1->{2,6},2->{0,1,5},3->{0,1}] ,We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0,2,1] c: [2] | `- p:[0] c: [0]) + Applied Processor: AbstractSize Minimize + Details: () * Step 8: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,B,C,D,E,F,0.0,0.0.0] f0.0 ~> f0.0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F] f0.0 ~> f0.2 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F] f0.2 ~> f0.0 [A <= 5000*K, B <= B, C <= C, D <= D, E <= E, F <= F] f3.3 ~> f0.0 [A <= 5000*K, B <= B, C <= unknown, D <= D, E <= E, F <= F] f0.0 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F] f0.0 ~> 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 <= 2*K + C] f0.0 ~> f0.0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F] f0.2 ~> f0.0 [A <= 5000*K, B <= B, C <= C, D <= D, E <= E, F <= F] f0.0 ~> f0.2 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F] + Loop: [0.0.0 <= K + A] f0.0 ~> f0.0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F] + Applied Processor: AbstractFlow + Details: () * Step 9: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,0.0,0.0.0] f0.0 ~> f0.0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] f0.0 ~> f0.2 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] f0.2 ~> f0.0 [K ~=> A] f3.3 ~> f0.0 [K ~=> A,huge ~=> C] f0.0 ~> exitus616 [] f0.0 ~> exitus616 [] f0.2 ~> exitus616 [] + Loop: [C ~+> 0.0,K ~*> 0.0] f0.0 ~> f0.0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] f0.2 ~> f0.0 [K ~=> A] f0.0 ~> f0.2 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] + Loop: [A ~+> 0.0.0,K ~+> 0.0.0] f0.0 ~> f0.0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] + Applied Processor: Lare + Details: Unknown bound. MAYBE