MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (?,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) Signature: {(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3},1->{0,1},2->{},3->{0,1},4->{2,3}] + 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,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (1,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) Signature: {(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3},1->{0,1},2->{},3->{0,1},4->{2,3}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(3,0)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (1,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) Signature: {(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3},1->{0,1},2->{},3->{1},4->{2,3}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (?,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) 5. f2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True (?,1) Signature: {(exitus616,7);(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3,5},1->{0,1},2->{},3->{0,1},4->{2,3,5},5->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(3,0)] * Step 5: LooptreeTransformer MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (?,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) 5. f2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True (?,1) Signature: {(exitus616,7);(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3,5},1->{0,1},2->{},3->{1},4->{2,3,5},5->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[0,1,3] c: [3] | `- p:[1] c: [1] * Step 6: SizeAbstraction MAYBE + Considered Problem: (Rules: 0. f0(A,B,C,D,E,F,G) -> f2(A,B,C,D,E,F,G) [0 >= A] (?,1) 1. f0(A,B,C,D,E,F,G) -> f0(-1 + A,C,-1 + C,A,E,F,G) [A >= 1] (?,1) 2. f2(A,B,C,D,E,F,G) -> f4(A,B,C,D,E,F,H) [0 >= C] (?,1) 3. f2(A,B,C,D,E,F,G) -> f0(H,B,C,D,E,F,G) [H >= 1 && C >= 1] (?,1) 4. f3(A,B,C,D,E,F,G) -> f2(H,B,I,D,E,F,G) True (1,1) 5. f2(A,B,C,D,E,F,G) -> exitus616(A,B,C,D,E,F,G) True (?,1) Signature: {(exitus616,7);(f0,7);(f2,7);(f3,7);(f4,7)} Flow Graph: [0->{2,3,5},1->{0,1},2->{},3->{1},4->{2,3,5},5->{}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[0,1,3] c: [3] | `- p:[1] c: [1]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 7: FlowAbstraction MAYBE + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,0.0,0.0.0] f0 ~> f2 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f0 ~> f0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F, G <= G] f2 ~> f4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= unknown] f2 ~> f0 [A <= unknown, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f3 ~> f2 [A <= unknown, B <= B, C <= unknown, D <= D, E <= E, F <= F, G <= G] f2 ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.0 <= A + C] f0 ~> f2 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] f0 ~> f0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F, G <= G] f2 ~> f0 [A <= unknown, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G] + Loop: [0.0.0 <= A] f0 ~> f0 [A <= A, B <= C, C <= K + C, D <= A, E <= E, F <= F, G <= G] + Applied Processor: FlowAbstraction + Details: () * Step 8: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,0.0,0.0.0] f0 ~> f2 [] f0 ~> f0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] f2 ~> f4 [huge ~=> G] f2 ~> f0 [huge ~=> A] f3 ~> f2 [huge ~=> A,huge ~=> C] f2 ~> exitus616 [] + Loop: [A ~+> 0.0,C ~+> 0.0] f0 ~> f2 [] f0 ~> f0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] f2 ~> f0 [huge ~=> A] + Loop: [A ~=> 0.0.0] f0 ~> f0 [A ~=> D,C ~=> B,C ~+> C,K ~+> C] + Applied Processor: LareProcessor + Details: Unknown bound. MAYBE