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