/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^2)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^2). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 170 ms] (4) CpxRelTRS (5) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (12) CpxRNTS (13) CompleteCoflocoProof [FINISHED, 170.0 s] (14) BOUNDS(1, n^2) (15) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (16) TRS for Loop Detection (17) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (18) BEST (19) proven lower bound (20) LowerBoundPropagationProof [FINISHED, 0 ms] (21) BOUNDS(n^1, INF) (22) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^2). The TRS R consists of the following rules: le(0, y) -> true [1] le(s(x), 0) -> false [1] le(s(x), s(y)) -> le(x, y) [1] minus(x, 0) -> x [1] minus(s(x), s(y)) -> minus(x, y) [1] mod(0, y) -> 0 [1] mod(s(x), 0) -> 0 [1] mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) [1] if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) [1] if_mod(false, s(x), s(y)) -> s(x) [1] encArg(0) -> 0 [0] encArg(true) -> true [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(false) -> false [0] encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) [0] encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) [0] encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) [0] encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) [0] encode_0 -> 0 [0] encode_true -> true [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_false -> false [0] encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) [0] encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) [0] encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: le(0, y) -> true [1] le(s(x), 0) -> false [1] le(s(x), s(y)) -> le(x, y) [1] minus(x, 0) -> x [1] minus(s(x), s(y)) -> minus(x, y) [1] mod(0, y) -> 0 [1] mod(s(x), 0) -> 0 [1] mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) [1] if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) [1] if_mod(false, s(x), s(y)) -> s(x) [1] encArg(0) -> 0 [0] encArg(true) -> true [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(false) -> false [0] encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) [0] encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) [0] encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) [0] encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) [0] encode_0 -> 0 [0] encode_true -> true [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_false -> false [0] encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) [0] encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) [0] encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] The TRS has the following type information: le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod 0 :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod true :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod s :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod false :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encArg :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod cons_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod cons_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod cons_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod cons_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_0 :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_true :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_s :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_false :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod encode_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod Rewrite Strategy: INNERMOST ---------------------------------------- (9) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_le(v0, v1) -> null_encode_le [0] encode_0 -> null_encode_0 [0] encode_true -> null_encode_true [0] encode_s(v0) -> null_encode_s [0] encode_false -> null_encode_false [0] encode_minus(v0, v1) -> null_encode_minus [0] encode_mod(v0, v1) -> null_encode_mod [0] encode_if_mod(v0, v1, v2) -> null_encode_if_mod [0] le(v0, v1) -> null_le [0] minus(v0, v1) -> null_minus [0] mod(v0, v1) -> null_mod [0] if_mod(v0, v1, v2) -> null_if_mod [0] And the following fresh constants: null_encArg, null_encode_le, null_encode_0, null_encode_true, null_encode_s, null_encode_false, null_encode_minus, null_encode_mod, null_encode_if_mod, null_le, null_minus, null_mod, null_if_mod ---------------------------------------- (10) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: le(0, y) -> true [1] le(s(x), 0) -> false [1] le(s(x), s(y)) -> le(x, y) [1] minus(x, 0) -> x [1] minus(s(x), s(y)) -> minus(x, y) [1] mod(0, y) -> 0 [1] mod(s(x), 0) -> 0 [1] mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) [1] if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) [1] if_mod(false, s(x), s(y)) -> s(x) [1] encArg(0) -> 0 [0] encArg(true) -> true [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(false) -> false [0] encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) [0] encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) [0] encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) [0] encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) [0] encode_0 -> 0 [0] encode_true -> true [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_false -> false [0] encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) [0] encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) [0] encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(v0) -> null_encArg [0] encode_le(v0, v1) -> null_encode_le [0] encode_0 -> null_encode_0 [0] encode_true -> null_encode_true [0] encode_s(v0) -> null_encode_s [0] encode_false -> null_encode_false [0] encode_minus(v0, v1) -> null_encode_minus [0] encode_mod(v0, v1) -> null_encode_mod [0] encode_if_mod(v0, v1, v2) -> null_encode_if_mod [0] le(v0, v1) -> null_le [0] minus(v0, v1) -> null_minus [0] mod(v0, v1) -> null_mod [0] if_mod(v0, v1, v2) -> null_if_mod [0] The TRS has the following type information: le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod 0 :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod true :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod s :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod false :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encArg :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod cons_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod cons_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod cons_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod cons_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_0 :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_true :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_s :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_false :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod encode_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encArg :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_0 :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_true :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_s :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_false :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_encode_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_le :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_minus :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod null_if_mod :: 0:true:s:false:cons_le:cons_minus:cons_mod:cons_if_mod:null_encArg:null_encode_le:null_encode_0:null_encode_true:null_encode_s:null_encode_false:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_minus:null_mod:null_if_mod Rewrite Strategy: INNERMOST ---------------------------------------- (11) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 true => 2 false => 1 null_encArg => 0 null_encode_le => 0 null_encode_0 => 0 null_encode_true => 0 null_encode_s => 0 null_encode_false => 0 null_encode_minus => 0 null_encode_mod => 0 null_encode_if_mod => 0 null_le => 0 null_minus => 0 null_mod => 0 null_if_mod => 0 ---------------------------------------- (12) Obligation: Complexity RNTS consisting of the following rules: encArg(z) -{ 0 }-> mod(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> minus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> le(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0 encArg(z) -{ 0 }-> 2 :|: z = 2 encArg(z) -{ 0 }-> 1 :|: z = 1 encArg(z) -{ 0 }-> 0 :|: z = 0 encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0 encode_0 -{ 0 }-> 0 :|: encode_false -{ 0 }-> 1 :|: encode_false -{ 0 }-> 0 :|: encode_if_mod(z, z', z'') -{ 0 }-> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3 encode_if_mod(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 encode_le(z, z') -{ 0 }-> le(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_le(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_minus(z, z') -{ 0 }-> minus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_minus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_mod(z, z') -{ 0 }-> mod(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_mod(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_s(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1 encode_true -{ 0 }-> 2 :|: encode_true -{ 0 }-> 0 :|: if_mod(z, z', z'') -{ 1 }-> mod(minus(x, y), 1 + y) :|: z = 2, z' = 1 + x, x >= 0, y >= 0, z'' = 1 + y if_mod(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 if_mod(z, z', z'') -{ 1 }-> 1 + x :|: z' = 1 + x, z = 1, x >= 0, y >= 0, z'' = 1 + y le(z, z') -{ 1 }-> le(x, y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x le(z, z') -{ 1 }-> 2 :|: y >= 0, z = 0, z' = y le(z, z') -{ 1 }-> 1 :|: x >= 0, z = 1 + x, z' = 0 le(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 minus(z, z') -{ 1 }-> x :|: x >= 0, z = x, z' = 0 minus(z, z') -{ 1 }-> minus(x, y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x minus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 mod(z, z') -{ 1 }-> if_mod(le(y, x), 1 + x, 1 + y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x mod(z, z') -{ 1 }-> 0 :|: y >= 0, z = 0, z' = y mod(z, z') -{ 1 }-> 0 :|: x >= 0, z = 1 + x, z' = 0 mod(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (13) CompleteCoflocoProof (FINISHED) Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo: eq(start(V1, V, V14),0,[le(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[minus(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[mod(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[fun(V1, V, V14, Out)],[V1 >= 0,V >= 0,V14 >= 0]). eq(start(V1, V, V14),0,[encArg(V1, Out)],[V1 >= 0]). eq(start(V1, V, V14),0,[fun1(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[fun2(Out)],[]). eq(start(V1, V, V14),0,[fun3(Out)],[]). eq(start(V1, V, V14),0,[fun4(V1, Out)],[V1 >= 0]). eq(start(V1, V, V14),0,[fun5(Out)],[]). eq(start(V1, V, V14),0,[fun6(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[fun7(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V14),0,[fun8(V1, V, V14, Out)],[V1 >= 0,V >= 0,V14 >= 0]). eq(le(V1, V, Out),1,[],[Out = 2,V2 >= 0,V1 = 0,V = V2]). eq(le(V1, V, Out),1,[],[Out = 1,V3 >= 0,V1 = 1 + V3,V = 0]). eq(le(V1, V, Out),1,[le(V4, V5, Ret)],[Out = Ret,V = 1 + V5,V4 >= 0,V5 >= 0,V1 = 1 + V4]). eq(minus(V1, V, Out),1,[],[Out = V6,V6 >= 0,V1 = V6,V = 0]). eq(minus(V1, V, Out),1,[minus(V7, V8, Ret1)],[Out = Ret1,V = 1 + V8,V7 >= 0,V8 >= 0,V1 = 1 + V7]). eq(mod(V1, V, Out),1,[],[Out = 0,V9 >= 0,V1 = 0,V = V9]). eq(mod(V1, V, Out),1,[],[Out = 0,V10 >= 0,V1 = 1 + V10,V = 0]). eq(mod(V1, V, Out),1,[le(V11, V12, Ret0),fun(Ret0, 1 + V12, 1 + V11, Ret2)],[Out = Ret2,V = 1 + V11,V12 >= 0,V11 >= 0,V1 = 1 + V12]). eq(fun(V1, V, V14, Out),1,[minus(V15, V13, Ret01),mod(Ret01, 1 + V13, Ret3)],[Out = Ret3,V1 = 2,V = 1 + V15,V15 >= 0,V13 >= 0,V14 = 1 + V13]). eq(fun(V1, V, V14, Out),1,[],[Out = 1 + V16,V = 1 + V16,V1 = 1,V16 >= 0,V17 >= 0,V14 = 1 + V17]). eq(encArg(V1, Out),0,[],[Out = 0,V1 = 0]). eq(encArg(V1, Out),0,[],[Out = 2,V1 = 2]). eq(encArg(V1, Out),0,[encArg(V18, Ret11)],[Out = 1 + Ret11,V1 = 1 + V18,V18 >= 0]). eq(encArg(V1, Out),0,[],[Out = 1,V1 = 1]). eq(encArg(V1, Out),0,[encArg(V19, Ret02),encArg(V20, Ret12),le(Ret02, Ret12, Ret4)],[Out = Ret4,V19 >= 0,V1 = 1 + V19 + V20,V20 >= 0]). eq(encArg(V1, Out),0,[encArg(V21, Ret03),encArg(V22, Ret13),minus(Ret03, Ret13, Ret5)],[Out = Ret5,V21 >= 0,V1 = 1 + V21 + V22,V22 >= 0]). eq(encArg(V1, Out),0,[encArg(V24, Ret04),encArg(V23, Ret14),mod(Ret04, Ret14, Ret6)],[Out = Ret6,V24 >= 0,V1 = 1 + V23 + V24,V23 >= 0]). eq(encArg(V1, Out),0,[encArg(V27, Ret05),encArg(V26, Ret15),encArg(V25, Ret21),fun(Ret05, Ret15, Ret21, Ret7)],[Out = Ret7,V27 >= 0,V1 = 1 + V25 + V26 + V27,V25 >= 0,V26 >= 0]). eq(fun1(V1, V, Out),0,[encArg(V28, Ret06),encArg(V29, Ret16),le(Ret06, Ret16, Ret8)],[Out = Ret8,V28 >= 0,V29 >= 0,V1 = V28,V = V29]). eq(fun2(Out),0,[],[Out = 0]). eq(fun3(Out),0,[],[Out = 2]). eq(fun4(V1, Out),0,[encArg(V30, Ret17)],[Out = 1 + Ret17,V30 >= 0,V1 = V30]). eq(fun5(Out),0,[],[Out = 1]). eq(fun6(V1, V, Out),0,[encArg(V32, Ret07),encArg(V31, Ret18),minus(Ret07, Ret18, Ret9)],[Out = Ret9,V32 >= 0,V31 >= 0,V1 = V32,V = V31]). eq(fun7(V1, V, Out),0,[encArg(V34, Ret08),encArg(V33, Ret19),mod(Ret08, Ret19, Ret10)],[Out = Ret10,V34 >= 0,V33 >= 0,V1 = V34,V = V33]). eq(fun8(V1, V, V14, Out),0,[encArg(V35, Ret09),encArg(V37, Ret110),encArg(V36, Ret22),fun(Ret09, Ret110, Ret22, Ret20)],[Out = Ret20,V35 >= 0,V36 >= 0,V37 >= 0,V1 = V35,V = V37,V14 = V36]). eq(encArg(V1, Out),0,[],[Out = 0,V38 >= 0,V1 = V38]). eq(fun1(V1, V, Out),0,[],[Out = 0,V40 >= 0,V39 >= 0,V1 = V40,V = V39]). eq(fun3(Out),0,[],[Out = 0]). eq(fun4(V1, Out),0,[],[Out = 0,V41 >= 0,V1 = V41]). eq(fun5(Out),0,[],[Out = 0]). eq(fun6(V1, V, Out),0,[],[Out = 0,V42 >= 0,V43 >= 0,V1 = V42,V = V43]). eq(fun7(V1, V, Out),0,[],[Out = 0,V44 >= 0,V45 >= 0,V1 = V44,V = V45]). eq(fun8(V1, V, V14, Out),0,[],[Out = 0,V46 >= 0,V14 = V48,V47 >= 0,V1 = V46,V = V47,V48 >= 0]). eq(le(V1, V, Out),0,[],[Out = 0,V50 >= 0,V49 >= 0,V1 = V50,V = V49]). eq(minus(V1, V, Out),0,[],[Out = 0,V51 >= 0,V52 >= 0,V1 = V51,V = V52]). eq(mod(V1, V, Out),0,[],[Out = 0,V53 >= 0,V54 >= 0,V1 = V53,V = V54]). eq(fun(V1, V, V14, Out),0,[],[Out = 0,V55 >= 0,V14 = V57,V56 >= 0,V1 = V55,V = V56,V57 >= 0]). input_output_vars(le(V1,V,Out),[V1,V],[Out]). input_output_vars(minus(V1,V,Out),[V1,V],[Out]). input_output_vars(mod(V1,V,Out),[V1,V],[Out]). input_output_vars(fun(V1,V,V14,Out),[V1,V,V14],[Out]). input_output_vars(encArg(V1,Out),[V1],[Out]). input_output_vars(fun1(V1,V,Out),[V1,V],[Out]). input_output_vars(fun2(Out),[],[Out]). input_output_vars(fun3(Out),[],[Out]). input_output_vars(fun4(V1,Out),[V1],[Out]). input_output_vars(fun5(Out),[],[Out]). input_output_vars(fun6(V1,V,Out),[V1,V],[Out]). input_output_vars(fun7(V1,V,Out),[V1,V],[Out]). input_output_vars(fun8(V1,V,V14,Out),[V1,V,V14],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [minus/3] 1. recursive : [le/3] 2. recursive : [fun/4,(mod)/3] 3. recursive [non_tail,multiple] : [encArg/2] 4. non_recursive : [fun1/3] 5. non_recursive : [fun2/1] 6. non_recursive : [fun3/1] 7. non_recursive : [fun4/2] 8. non_recursive : [fun5/1] 9. non_recursive : [fun6/3] 10. non_recursive : [fun7/3] 11. non_recursive : [fun8/4] 12. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into minus/3 1. SCC is partially evaluated into le/3 2. SCC is partially evaluated into (mod)/3 3. SCC is partially evaluated into encArg/2 4. SCC is partially evaluated into fun1/3 5. SCC is completely evaluated into other SCCs 6. SCC is partially evaluated into fun3/1 7. SCC is partially evaluated into fun4/2 8. SCC is partially evaluated into fun5/1 9. SCC is partially evaluated into fun6/3 10. SCC is partially evaluated into fun7/3 11. SCC is partially evaluated into fun8/4 12. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations minus/3 * CE 17 is refined into CE [54] * CE 15 is refined into CE [55] * CE 16 is refined into CE [56] ### Cost equations --> "Loop" of minus/3 * CEs [56] --> Loop 30 * CEs [54] --> Loop 31 * CEs [55] --> Loop 32 ### Ranking functions of CR minus(V1,V,Out) * RF of phase [30]: [V,V1] #### Partial ranking functions of CR minus(V1,V,Out) * Partial RF of phase [30]: - RF of loop [30:1]: V V1 ### Specialization of cost equations le/3 * CE 27 is refined into CE [57] * CE 25 is refined into CE [58] * CE 24 is refined into CE [59] * CE 26 is refined into CE [60] ### Cost equations --> "Loop" of le/3 * CEs [60] --> Loop 33 * CEs [57] --> Loop 34 * CEs [58] --> Loop 35 * CEs [59] --> Loop 36 ### Ranking functions of CR le(V1,V,Out) * RF of phase [33]: [V,V1] #### Partial ranking functions of CR le(V1,V,Out) * Partial RF of phase [33]: - RF of loop [33:1]: V V1 ### Specialization of cost equations (mod)/3 * CE 19 is refined into CE [61,62] * CE 22 is refined into CE [63] * CE 18 is refined into CE [64,65,66,67,68] * CE 21 is refined into CE [69] * CE 23 is refined into CE [70] * CE 20 is refined into CE [71,72,73,74] ### Cost equations --> "Loop" of (mod)/3 * CEs [74] --> Loop 37 * CEs [73] --> Loop 38 * CEs [71] --> Loop 39 * CEs [72] --> Loop 40 * CEs [62] --> Loop 41 * CEs [64] --> Loop 42 * CEs [63] --> Loop 43 * CEs [61] --> Loop 44 * CEs [65] --> Loop 45 * CEs [66,67,68,69,70] --> Loop 46 ### Ranking functions of CR mod(V1,V,Out) * RF of phase [37]: [V1-1,V1-V+1] * RF of phase [39]: [V1] #### Partial ranking functions of CR mod(V1,V,Out) * Partial RF of phase [37]: - RF of loop [37:1]: V1-1 V1-V+1 * Partial RF of phase [39]: - RF of loop [39:1]: V1 ### Specialization of cost equations encArg/2 * CE 31 is refined into CE [75] * CE 32 is refined into CE [76] * CE 34 is refined into CE [77] * CE 35 is refined into CE [78,79,80,81,82] * CE 36 is refined into CE [83,84,85] * CE 37 is refined into CE [86,87,88,89,90,91,92] * CE 33 is refined into CE [93] * CE 30 is refined into CE [94,95,96,97,98,99,100,101] * CE 29 is refined into CE [102] * CE 28 is refined into CE [103] ### Cost equations --> "Loop" of encArg/2 * CEs [101] --> Loop 47 * CEs [100] --> Loop 48 * CEs [102] --> Loop 49 * CEs [99] --> Loop 50 * CEs [98] --> Loop 51 * CEs [94,95,96,97,103] --> Loop 52 * CEs [93] --> Loop 53 * CEs [92] --> Loop 54 * CEs [85] --> Loop 55 * CEs [91] --> Loop 56 * CEs [83] --> Loop 57 * CEs [82] --> Loop 58 * CEs [78] --> Loop 59 * CEs [81,90] --> Loop 60 * CEs [79] --> Loop 61 * CEs [87] --> Loop 62 * CEs [89] --> Loop 63 * CEs [80,84,86,88] --> Loop 64 * CEs [75] --> Loop 65 * CEs [76] --> Loop 66 * CEs [77] --> Loop 67 ### Ranking functions of CR encArg(V1,Out) * RF of phase [47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]: [V1] #### Partial ranking functions of CR encArg(V1,Out) * Partial RF of phase [47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]: - RF of loop [47:1,47:2,47:3,48:1,48:2,48:3,49:1,49:2,49:3,50:1,50:2,50:3,51:1,51:2,51:3,52:1,52:2,52:3,53:1,54:1,54:2,55:1,55:2,56:1,56:2,57:1,57:2,58:1,58:2,59:1,59:2,60:1,60:2,61:1,61:2,62:1,62:2,63:1,63:2,64:1,64:2]: V1 ### Specialization of cost equations fun1/3 * CE 38 is refined into CE [104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129] * CE 39 is refined into CE [130] ### Cost equations --> "Loop" of fun1/3 * CEs [109,112,126] --> Loop 68 * CEs [111] --> Loop 69 * CEs [110,127] --> Loop 70 * CEs [105,107,114,116,118,122] --> Loop 71 * CEs [104,108,113,119,121,124,128] --> Loop 72 * CEs [106,115,117,120,123,125,129,130] --> Loop 73 ### Ranking functions of CR fun1(V1,V,Out) #### Partial ranking functions of CR fun1(V1,V,Out) ### Specialization of cost equations fun3/1 * CE 40 is refined into CE [131] * CE 41 is refined into CE [132] ### Cost equations --> "Loop" of fun3/1 * CEs [131] --> Loop 74 * CEs [132] --> Loop 75 ### Ranking functions of CR fun3(Out) #### Partial ranking functions of CR fun3(Out) ### Specialization of cost equations fun4/2 * CE 42 is refined into CE [133,134,135] * CE 43 is refined into CE [136] ### Cost equations --> "Loop" of fun4/2 * CEs [135] --> Loop 76 * CEs [136] --> Loop 77 * CEs [133,134] --> Loop 78 ### Ranking functions of CR fun4(V1,Out) #### Partial ranking functions of CR fun4(V1,Out) ### Specialization of cost equations fun5/1 * CE 44 is refined into CE [137] * CE 45 is refined into CE [138] ### Cost equations --> "Loop" of fun5/1 * CEs [137] --> Loop 79 * CEs [138] --> Loop 80 ### Ranking functions of CR fun5(Out) #### Partial ranking functions of CR fun5(Out) ### Specialization of cost equations fun6/3 * CE 46 is refined into CE [139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157] * CE 47 is refined into CE [158] ### Cost equations --> "Loop" of fun6/3 * CEs [143] --> Loop 81 * CEs [142,155] --> Loop 82 * CEs [148] --> Loop 83 * CEs [139,141,144,146,151] --> Loop 84 * CEs [140,145,147,149,150,152,153,154,156,157,158] --> Loop 85 ### Ranking functions of CR fun6(V1,V,Out) #### Partial ranking functions of CR fun6(V1,V,Out) ### Specialization of cost equations fun7/3 * CE 48 is refined into CE [159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180] * CE 49 is refined into CE [181] ### Cost equations --> "Loop" of fun7/3 * CEs [165] --> Loop 86 * CEs [160,163,167,168] --> Loop 87 * CEs [166,179] --> Loop 88 * CEs [164,174] --> Loop 89 * CEs [159,161,162,169,170,171,172,173,175,176,177,178,180,181] --> Loop 90 ### Ranking functions of CR fun7(V1,V,Out) #### Partial ranking functions of CR fun7(V1,V,Out) ### Specialization of cost equations fun8/4 * CE 50 is refined into CE [182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208] * CE 51 is refined into CE [209,210,211,212] * CE 52 is refined into CE [213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248] * CE 53 is refined into CE [249] ### Cost equations --> "Loop" of fun8/4 * CEs [210,223,224] --> Loop 91 * CEs [211,212] --> Loop 92 * CEs [185,186,187,203,204,205,225,226,227,228,229,230] --> Loop 93 * CEs [237,238] --> Loop 94 * CEs [209,217,218,219,220,235,236,241,242] --> Loop 95 * CEs [183,189,192,198,201,207,221,222,239,240] --> Loop 96 * CEs [182,184,188,190,191,193,194,195,196,197,199,200,202,206,208,213,214,215,216,231,232,233,234,243,244,245,246,247,248,249] --> Loop 97 ### Ranking functions of CR fun8(V1,V,V14,Out) #### Partial ranking functions of CR fun8(V1,V,V14,Out) ### Specialization of cost equations start/3 * CE 1 is refined into CE [250] * CE 2 is refined into CE [251] * CE 3 is refined into CE [252,253,254,255,256,257,258,259] * CE 4 is refined into CE [260,261,262,263,264] * CE 5 is refined into CE [265,266,267] * CE 6 is refined into CE [268,269,270,271,272,273,274] * CE 7 is refined into CE [275,276,277] * CE 8 is refined into CE [278,279,280] * CE 9 is refined into CE [281,282] * CE 10 is refined into CE [283,284,285] * CE 11 is refined into CE [286,287] * CE 12 is refined into CE [288,289,290] * CE 13 is refined into CE [291,292,293] * CE 14 is refined into CE [294,295,296,297,298] ### Cost equations --> "Loop" of start/3 * CEs [250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298] --> Loop 98 ### Ranking functions of CR start(V1,V,V14) #### Partial ranking functions of CR start(V1,V,V14) Computing Bounds ===================================== #### Cost of chains of minus(V1,V,Out): * Chain [[30],32]: 1*it(30)+1 Such that:it(30) =< V with precondition: [V1=Out+V,V>=1,V1>=V] * Chain [[30],31]: 1*it(30)+0 Such that:it(30) =< V with precondition: [Out=0,V1>=1,V>=1] * Chain [32]: 1 with precondition: [V=0,V1=Out,V1>=0] * Chain [31]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of le(V1,V,Out): * Chain [[33],36]: 1*it(33)+1 Such that:it(33) =< V1 with precondition: [Out=2,V1>=1,V>=V1] * Chain [[33],35]: 1*it(33)+1 Such that:it(33) =< V with precondition: [Out=1,V>=1,V1>=V+1] * Chain [[33],34]: 1*it(33)+0 Such that:it(33) =< V with precondition: [Out=0,V1>=1,V>=1] * Chain [36]: 1 with precondition: [V1=0,Out=2,V>=0] * Chain [35]: 1 with precondition: [V=0,Out=1,V1>=1] * Chain [34]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of mod(V1,V,Out): * Chain [[39],46]: 6*it(39)+1*s(5)+2 Such that:s(5) =< 1 aux(2) =< V1 it(39) =< aux(2) with precondition: [V=1,Out=0,V1>=1] * Chain [[39],42]: 4*it(39)+2 Such that:it(39) =< V1 with precondition: [V=1,Out=0,V1>=2] * Chain [[39],40,46]: 4*it(39)+1*s(5)+5 Such that:s(5) =< 1 it(39) =< V1 with precondition: [V=1,Out=0,V1>=2] * Chain [[37],46]: 8*it(37)+1*s(5)+2 Such that:s(5) =< V aux(6) =< V1 it(37) =< aux(6) with precondition: [Out=0,V>=2,V1>=V] * Chain [[37],45]: 4*it(37)+2*s(11)+2 Such that:it(37) =< V1-V+1 aux(7) =< V1 it(37) =< aux(7) s(11) =< aux(7) with precondition: [Out=0,V>=2,V1>=V+1] * Chain [[37],44]: 4*it(37)+2*s(11)+3 Such that:it(37) =< V1-V+1 aux(8) =< V1 it(37) =< aux(8) s(11) =< aux(8) with precondition: [Out=1,V>=2,V1>=V+1] * Chain [[37],41]: 4*it(37)+2*s(11)+1*s(13)+3 Such that:aux(4) =< V1 it(37) =< V1-V+1 aux(5) =< V1-Out s(13) =< Out it(37) =< aux(4) s(12) =< aux(4) it(37) =< aux(5) s(12) =< aux(5) s(11) =< s(12) with precondition: [Out>=2,V>=Out+1,V1>=Out+V] * Chain [[37],38,46]: 4*it(37)+3*s(5)+2*s(11)+5 Such that:aux(4) =< V1 aux(10) =< V aux(11) =< V1-V it(37) =< aux(11) s(5) =< aux(10) it(37) =< aux(4) s(12) =< aux(4) s(12) =< aux(11) s(11) =< s(12) with precondition: [Out=0,V>=2,V1>=2*V] * Chain [46]: 2*s(3)+1*s(5)+2 Such that:s(5) =< V aux(1) =< V1 s(3) =< aux(1) with precondition: [Out=0,V1>=0,V>=0] * Chain [45]: 2 with precondition: [V1=1,Out=0,V>=2] * Chain [44]: 3 with precondition: [V1=1,Out=1,V>=2] * Chain [43]: 1 with precondition: [V=0,Out=0,V1>=1] * Chain [42]: 2 with precondition: [V=1,Out=0,V1>=1] * Chain [41]: 1*s(13)+3 Such that:s(13) =< V1 with precondition: [V1=Out,V1>=2,V>=V1+1] * Chain [40,46]: 1*s(5)+5 Such that:s(5) =< 1 with precondition: [V=1,Out=0,V1>=1] * Chain [38,46]: 3*s(5)+5 Such that:aux(10) =< V s(5) =< aux(10) with precondition: [Out=0,V>=2,V1>=V] #### Cost of chains of encArg(V1,Out): * Chain [67]: 0 with precondition: [V1=1,Out=1] * Chain [66]: 0 with precondition: [V1=2,Out=2] * Chain [65]: 0 with precondition: [Out=0,V1>=0] * Chain [multiple([47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64],[[67],[66],[65]])]: 5*it(47)+5*it(48)+1*it(49)+5*it(50)+5*it(51)+7*it(52)+3*it(54)+1*it(55)+3*it(56)+2*it(57)+1*it(58)+3*it(60)+1*it(61)+3*it(62)+5*it(63)+5*it(64)+8*s(151)+2*s(153)+7*s(155)+1*s(157)+16*s(158)+11*s(159)+4*s(160)+2*s(161)+54*s(162)+7*s(169)+1*s(171)+1*s(172)+1*s(173)+1*s(174)+6*s(175)+3*s(177)+14*s(178)+10*s(181)+4*s(182)+18*s(183)+0 Such that:aux(30) =< 2*V1 it([67]) =< 2/3*V1+1/3 it([66]) =< 2/5*V1+1/5 aux(61) =< V1 aux(62) =< 2*V1+1 aux(63) =< V1/2 aux(64) =< V1/3 aux(65) =< V1/4 aux(66) =< 2/3*V1 aux(67) =< 3/10*V1 aux(68) =< 3/13*V1 aux(69) =< 3/16*V1 aux(70) =< 4/5*V1 aux(71) =< 4/7*V1 aux(72) =< 4/9*V1 it(52) =< aux(61) it(54) =< aux(61) it(55) =< aux(61) it(56) =< aux(61) it(57) =< aux(61) it(58) =< aux(61) it(60) =< aux(61) it(61) =< aux(61) it(62) =< aux(61) it(63) =< aux(61) it(64) =< aux(61) it([66]) =< aux(61) it([67]) =< aux(61) it([65]) =< aux(62) it([66]) =< aux(62) it([67]) =< aux(62) it(49) =< aux(63) it(50) =< aux(63) it(51) =< aux(63) it(54) =< aux(64) it(50) =< aux(65) aux(56) =< aux(66) it(55) =< aux(66) it(56) =< aux(66) it(58) =< aux(66) it(60) =< aux(66) it(62) =< aux(66) it(63) =< aux(66) it([66]) =< aux(66) it(51) =< aux(67) it(48) =< aux(68) it(47) =< aux(69) it(61) =< aux(70) it(62) =< aux(70) it(63) =< aux(70) it([66]) =< aux(70) it(60) =< aux(71) it(62) =< aux(71) it(56) =< aux(72) aux(40) =< aux(30)+3 aux(51) =< aux(30)+4 aux(39) =< aux(30)+5 aux(35) =< aux(30)+1 aux(43) =< aux(30)+2 aux(32) =< aux(30)-2 aux(56) =< it([65])*(1/3)+aux(66) it(55) =< it([65])*(1/3)+aux(66) it(56) =< it([65])*(1/3)+aux(66) it(57) =< it([65])*(1/3)+aux(66) it(58) =< it([65])*(1/3)+aux(66) it(60) =< it([65])*(1/3)+aux(66) it(61) =< it([65])*(1/3)+aux(66) it(62) =< it([65])*(1/3)+aux(66) it(64) =< it([65])*(1/3)+aux(66) it([66]) =< it([65])*(1/3)+aux(66) it(63) =< it([65])*(1/3)+aux(66) it(60) =< it([65])*(3/7)+aux(71) it(61) =< it([65])*(3/7)+aux(71) it(62) =< it([65])*(3/7)+aux(71) it(63) =< it([65])*(3/7)+aux(71) it(64) =< it([65])*(3/7)+aux(71) it(61) =< it([65])*(1/5)+aux(70) it(62) =< it([65])*(1/5)+aux(70) it(63) =< it([65])*(1/5)+aux(70) it(64) =< it([65])*(1/5)+aux(70) it([66]) =< it([65])*(1/5)+aux(70) it(56) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(57) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(58) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(60) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(61) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(62) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(63) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(64) =< it([65])*(5/9)+it([67])*(1/9)+aux(72) it(54) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(55) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(56) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(57) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(58) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(60) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(61) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(62) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(63) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(64) =< it([65])*(2/3)+it([67])*(1/3)+aux(64) it(51) =< it([65])*(7/20)+it([67])*(1/20)+aux(67) it(52) =< it([65])*(7/20)+it([67])*(1/20)+aux(67) it(50) =< it([65])*(3/8)+it([67])*(1/8)+aux(65) it(51) =< it([65])*(3/8)+it([67])*(1/8)+aux(65) it(52) =< it([65])*(3/8)+it([67])*(1/8)+aux(65) it(49) =< it([65])*(1/4)+aux(63) it(50) =< it([65])*(1/4)+aux(63) it(51) =< it([65])*(1/4)+aux(63) it(52) =< it([65])*(1/4)+aux(63) it(48) =< it([65])*(5/13)+it([67])*(2/13)+aux(68) it(49) =< it([65])*(5/13)+it([67])*(2/13)+aux(68) it(50) =< it([65])*(5/13)+it([67])*(2/13)+aux(68) it(51) =< it([65])*(5/13)+it([67])*(2/13)+aux(68) it(52) =< it([65])*(5/13)+it([67])*(2/13)+aux(68) s(185) =< it(64)*aux(40) s(182) =< it(64)*aux(51) s(184) =< it(64)*aux(39) s(179) =< it(63)*aux(51) s(174) =< it(60)*aux(35) s(176) =< it(60)*aux(51) s(173) =< it(58)*aux(43) s(172) =< it(56)*aux(35) s(171) =< it(55)*aux(43) s(170) =< it(54)*aux(43) it(47) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) it(48) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) it(49) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) it(50) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) it(51) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) it(52) =< it([65])*(13/32)+it([66])*(1/32)+it([67])*(7/32)+aux(69) s(164) =< it(52)*aux(40) s(167) =< it(52)*aux(39) s(157) =< it(51)*aux(32) s(156) =< it(50)*aux(35) s(154) =< it(48)*aux(32) s(152) =< it(47)*aux(30) s(181) =< s(185) s(183) =< s(184) s(182) =< s(184) s(177) =< aux(56) s(178) =< s(179) s(175) =< s(176) s(169) =< s(170) s(158) =< s(167) s(159) =< aux(61) s(160) =< s(164) s(160) =< s(167) s(166) =< s(167) s(166) =< s(164) s(161) =< s(166) s(162) =< s(164) s(155) =< s(156) s(153) =< s(154) s(151) =< s(152) with precondition: [V1>=1,Out>=0,2*V1>=Out] #### Cost of chains of fun1(V1,V,Out): * Chain [73]: 14*s(271)+6*s(272)+2*s(273)+6*s(274)+4*s(275)+2*s(276)+6*s(277)+2*s(278)+6*s(279)+10*s(280)+10*s(281)+2*s(282)+10*s(283)+10*s(284)+10*s(286)+10*s(287)+8*s(295)+2*s(298)+2*s(300)+2*s(301)+2*s(302)+2*s(306)+20*s(310)+36*s(311)+6*s(312)+28*s(313)+12*s(314)+14*s(315)+32*s(316)+22*s(317)+8*s(318)+4*s(320)+108*s(321)+14*s(322)+4*s(323)+16*s(324)+21*s(340)+9*s(341)+3*s(342)+9*s(343)+6*s(344)+3*s(345)+9*s(346)+3*s(347)+9*s(348)+15*s(349)+15*s(350)+3*s(351)+15*s(352)+15*s(353)+15*s(355)+15*s(356)+12*s(364)+3*s(367)+3*s(369)+3*s(370)+3*s(371)+3*s(375)+30*s(379)+54*s(380)+9*s(381)+42*s(382)+18*s(383)+21*s(384)+48*s(385)+33*s(386)+12*s(387)+6*s(389)+162*s(390)+21*s(391)+6*s(392)+24*s(393)+3*s(394)+1*s(535)+0 Such that:s(535) =< 2 aux(76) =< V1 aux(77) =< 2*V1 aux(78) =< 2*V1+1 aux(79) =< V1/2 aux(80) =< V1/3 aux(81) =< V1/4 aux(82) =< 2/3*V1 aux(83) =< 2/3*V1+1/3 aux(84) =< 2/5*V1+1/5 aux(85) =< 3/10*V1 aux(86) =< 3/13*V1 aux(87) =< 3/16*V1 aux(88) =< 4/5*V1 aux(89) =< 4/7*V1 aux(90) =< 4/9*V1 aux(91) =< V aux(92) =< 2*V aux(93) =< 2*V+1 aux(94) =< V/2 aux(95) =< V/3 aux(96) =< V/4 aux(97) =< 2/3*V aux(98) =< 2/3*V+1/3 aux(99) =< 2/5*V+1/5 aux(100) =< 3/10*V aux(101) =< 3/13*V aux(102) =< 3/16*V aux(103) =< 4/5*V aux(104) =< 4/7*V aux(105) =< 4/9*V s(263) =< aux(83) s(264) =< aux(84) s(332) =< aux(98) s(333) =< aux(99) s(394) =< aux(92) s(340) =< aux(91) s(341) =< aux(91) s(342) =< aux(91) s(343) =< aux(91) s(344) =< aux(91) s(345) =< aux(91) s(346) =< aux(91) s(347) =< aux(91) s(348) =< aux(91) s(349) =< aux(91) s(350) =< aux(91) s(333) =< aux(91) s(332) =< aux(91) s(333) =< aux(93) s(332) =< aux(93) s(351) =< aux(94) s(352) =< aux(94) s(353) =< aux(94) s(341) =< aux(95) s(352) =< aux(96) s(354) =< aux(97) s(342) =< aux(97) s(343) =< aux(97) s(345) =< aux(97) s(346) =< aux(97) s(348) =< aux(97) s(349) =< aux(97) s(333) =< aux(97) s(353) =< aux(100) s(355) =< aux(101) s(356) =< aux(102) s(347) =< aux(103) s(348) =< aux(103) s(349) =< aux(103) s(333) =< aux(103) s(346) =< aux(104) s(348) =< aux(104) s(343) =< aux(105) s(357) =< aux(92)+3 s(358) =< aux(92)+4 s(359) =< aux(92)+5 s(360) =< aux(92)+1 s(361) =< aux(92)+2 s(362) =< aux(92)-2 s(354) =< aux(93)*(1/3)+aux(97) s(342) =< aux(93)*(1/3)+aux(97) s(343) =< aux(93)*(1/3)+aux(97) s(344) =< aux(93)*(1/3)+aux(97) s(345) =< aux(93)*(1/3)+aux(97) s(346) =< aux(93)*(1/3)+aux(97) s(347) =< aux(93)*(1/3)+aux(97) s(348) =< aux(93)*(1/3)+aux(97) s(350) =< aux(93)*(1/3)+aux(97) s(333) =< aux(93)*(1/3)+aux(97) s(349) =< aux(93)*(1/3)+aux(97) s(346) =< aux(93)*(3/7)+aux(104) s(347) =< aux(93)*(3/7)+aux(104) s(348) =< aux(93)*(3/7)+aux(104) s(349) =< aux(93)*(3/7)+aux(104) s(350) =< aux(93)*(3/7)+aux(104) s(347) =< aux(93)*(1/5)+aux(103) s(348) =< aux(93)*(1/5)+aux(103) s(349) =< aux(93)*(1/5)+aux(103) s(350) =< aux(93)*(1/5)+aux(103) s(333) =< aux(93)*(1/5)+aux(103) s(343) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(344) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(345) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(346) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(347) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(348) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(349) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(350) =< aux(93)*(5/9)+s(332)*(1/9)+aux(105) s(341) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(342) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(343) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(344) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(345) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(346) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(347) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(348) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(349) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(350) =< aux(93)*(2/3)+s(332)*(1/3)+aux(95) s(353) =< aux(93)*(7/20)+s(332)*(1/20)+aux(100) s(340) =< aux(93)*(7/20)+s(332)*(1/20)+aux(100) s(352) =< aux(93)*(3/8)+s(332)*(1/8)+aux(96) s(353) =< aux(93)*(3/8)+s(332)*(1/8)+aux(96) s(340) =< aux(93)*(3/8)+s(332)*(1/8)+aux(96) s(351) =< aux(93)*(1/4)+aux(94) s(352) =< aux(93)*(1/4)+aux(94) s(353) =< aux(93)*(1/4)+aux(94) s(340) =< aux(93)*(1/4)+aux(94) s(355) =< aux(93)*(5/13)+s(332)*(2/13)+aux(101) s(351) =< aux(93)*(5/13)+s(332)*(2/13)+aux(101) s(352) =< aux(93)*(5/13)+s(332)*(2/13)+aux(101) s(353) =< aux(93)*(5/13)+s(332)*(2/13)+aux(101) s(340) =< aux(93)*(5/13)+s(332)*(2/13)+aux(101) s(363) =< s(350)*s(357) s(364) =< s(350)*s(358) s(365) =< s(350)*s(359) s(366) =< s(349)*s(358) s(367) =< s(346)*s(360) s(368) =< s(346)*s(358) s(369) =< s(345)*s(361) s(370) =< s(343)*s(360) s(371) =< s(342)*s(361) s(372) =< s(341)*s(361) s(356) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(355) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(351) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(352) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(353) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(340) =< aux(93)*(13/32)+s(333)*(1/32)+s(332)*(7/32)+aux(102) s(373) =< s(340)*s(357) s(374) =< s(340)*s(359) s(375) =< s(353)*s(362) s(376) =< s(352)*s(360) s(377) =< s(355)*s(362) s(378) =< s(356)*aux(92) s(379) =< s(363) s(380) =< s(365) s(364) =< s(365) s(381) =< s(354) s(382) =< s(366) s(383) =< s(368) s(384) =< s(372) s(385) =< s(374) s(386) =< aux(91) s(387) =< s(373) s(387) =< s(374) s(388) =< s(374) s(388) =< s(373) s(389) =< s(388) s(390) =< s(373) s(391) =< s(376) s(392) =< s(377) s(393) =< s(378) s(271) =< aux(76) s(272) =< aux(76) s(273) =< aux(76) s(274) =< aux(76) s(275) =< aux(76) s(276) =< aux(76) s(277) =< aux(76) s(278) =< aux(76) s(279) =< aux(76) s(280) =< aux(76) s(281) =< aux(76) s(264) =< aux(76) s(263) =< aux(76) s(264) =< aux(78) s(263) =< aux(78) s(282) =< aux(79) s(283) =< aux(79) s(284) =< aux(79) s(272) =< aux(80) s(283) =< aux(81) s(285) =< aux(82) s(273) =< aux(82) s(274) =< aux(82) s(276) =< aux(82) s(277) =< aux(82) s(279) =< aux(82) s(280) =< aux(82) s(264) =< aux(82) s(284) =< aux(85) s(286) =< aux(86) s(287) =< aux(87) s(278) =< aux(88) s(279) =< aux(88) s(280) =< aux(88) s(264) =< aux(88) s(277) =< aux(89) s(279) =< aux(89) s(274) =< aux(90) s(288) =< aux(77)+3 s(289) =< aux(77)+4 s(290) =< aux(77)+5 s(291) =< aux(77)+1 s(292) =< aux(77)+2 s(293) =< aux(77)-2 s(285) =< aux(78)*(1/3)+aux(82) s(273) =< aux(78)*(1/3)+aux(82) s(274) =< aux(78)*(1/3)+aux(82) s(275) =< aux(78)*(1/3)+aux(82) s(276) =< aux(78)*(1/3)+aux(82) s(277) =< aux(78)*(1/3)+aux(82) s(278) =< aux(78)*(1/3)+aux(82) s(279) =< aux(78)*(1/3)+aux(82) s(281) =< aux(78)*(1/3)+aux(82) s(264) =< aux(78)*(1/3)+aux(82) s(280) =< aux(78)*(1/3)+aux(82) s(277) =< aux(78)*(3/7)+aux(89) s(278) =< aux(78)*(3/7)+aux(89) s(279) =< aux(78)*(3/7)+aux(89) s(280) =< aux(78)*(3/7)+aux(89) s(281) =< aux(78)*(3/7)+aux(89) s(278) =< aux(78)*(1/5)+aux(88) s(279) =< aux(78)*(1/5)+aux(88) s(280) =< aux(78)*(1/5)+aux(88) s(281) =< aux(78)*(1/5)+aux(88) s(264) =< aux(78)*(1/5)+aux(88) s(274) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(275) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(276) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(277) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(278) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(279) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(280) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(281) =< aux(78)*(5/9)+s(263)*(1/9)+aux(90) s(272) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(273) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(274) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(275) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(276) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(277) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(278) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(279) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(280) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(281) =< aux(78)*(2/3)+s(263)*(1/3)+aux(80) s(284) =< aux(78)*(7/20)+s(263)*(1/20)+aux(85) s(271) =< aux(78)*(7/20)+s(263)*(1/20)+aux(85) s(283) =< aux(78)*(3/8)+s(263)*(1/8)+aux(81) s(284) =< aux(78)*(3/8)+s(263)*(1/8)+aux(81) s(271) =< aux(78)*(3/8)+s(263)*(1/8)+aux(81) s(282) =< aux(78)*(1/4)+aux(79) s(283) =< aux(78)*(1/4)+aux(79) s(284) =< aux(78)*(1/4)+aux(79) s(271) =< aux(78)*(1/4)+aux(79) s(286) =< aux(78)*(5/13)+s(263)*(2/13)+aux(86) s(282) =< aux(78)*(5/13)+s(263)*(2/13)+aux(86) s(283) =< aux(78)*(5/13)+s(263)*(2/13)+aux(86) s(284) =< aux(78)*(5/13)+s(263)*(2/13)+aux(86) s(271) =< aux(78)*(5/13)+s(263)*(2/13)+aux(86) s(294) =< s(281)*s(288) s(295) =< s(281)*s(289) s(296) =< s(281)*s(290) s(297) =< s(280)*s(289) s(298) =< s(277)*s(291) s(299) =< s(277)*s(289) s(300) =< s(276)*s(292) s(301) =< s(274)*s(291) s(302) =< s(273)*s(292) s(303) =< s(272)*s(292) s(287) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(286) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(282) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(283) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(284) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(271) =< aux(78)*(13/32)+s(264)*(1/32)+s(263)*(7/32)+aux(87) s(304) =< s(271)*s(288) s(305) =< s(271)*s(290) s(306) =< s(284)*s(293) s(307) =< s(283)*s(291) s(308) =< s(286)*s(293) s(309) =< s(287)*aux(77) s(310) =< s(294) s(311) =< s(296) s(295) =< s(296) s(312) =< s(285) s(313) =< s(297) s(314) =< s(299) s(315) =< s(303) s(316) =< s(305) s(317) =< aux(76) s(318) =< s(304) s(318) =< s(305) s(319) =< s(305) s(319) =< s(304) s(320) =< s(319) s(321) =< s(304) s(322) =< s(307) s(323) =< s(308) s(324) =< s(309) with precondition: [Out=0,V1>=0,V>=0] * Chain [72]: 21*s(623)+9*s(624)+3*s(625)+9*s(626)+6*s(627)+3*s(628)+9*s(629)+3*s(630)+9*s(631)+15*s(632)+15*s(633)+3*s(634)+15*s(635)+15*s(636)+15*s(638)+15*s(639)+12*s(647)+3*s(650)+3*s(652)+3*s(653)+3*s(654)+3*s(658)+30*s(662)+54*s(663)+9*s(664)+42*s(665)+18*s(666)+21*s(667)+48*s(668)+33*s(669)+12*s(670)+6*s(672)+162*s(673)+21*s(674)+6*s(675)+24*s(676)+28*s(692)+12*s(693)+4*s(694)+12*s(695)+8*s(696)+4*s(697)+12*s(698)+4*s(699)+12*s(700)+20*s(701)+20*s(702)+4*s(703)+20*s(704)+20*s(705)+20*s(707)+20*s(708)+16*s(716)+4*s(719)+4*s(721)+4*s(722)+4*s(723)+4*s(727)+40*s(731)+72*s(732)+12*s(733)+56*s(734)+24*s(735)+28*s(736)+64*s(737)+44*s(738)+16*s(739)+8*s(741)+216*s(742)+28*s(743)+8*s(744)+32*s(745)+1*s(884)+2*s(1023)+1 Such that:aux(107) =< 2 aux(108) =< V1 aux(109) =< 2*V1 aux(110) =< 2*V1+1 aux(111) =< V1/2 aux(112) =< V1/3 aux(113) =< V1/4 aux(114) =< 2/3*V1 aux(115) =< 2/3*V1+1/3 aux(116) =< 2/5*V1+1/5 aux(117) =< 3/10*V1 aux(118) =< 3/13*V1 aux(119) =< 3/16*V1 aux(120) =< 4/5*V1 aux(121) =< 4/7*V1 aux(122) =< 4/9*V1 aux(123) =< V aux(124) =< 2*V aux(125) =< 2*V+1 aux(126) =< V/2 aux(127) =< V/3 aux(128) =< V/4 aux(129) =< 2/3*V aux(130) =< 2/3*V+1/3 aux(131) =< 2/5*V+1/5 aux(132) =< 3/10*V aux(133) =< 3/13*V aux(134) =< 3/16*V aux(135) =< 4/5*V aux(136) =< 4/7*V aux(137) =< 4/9*V s(1023) =< aux(107) s(615) =< aux(115) s(616) =< aux(116) s(684) =< aux(130) s(685) =< aux(131) s(692) =< aux(123) s(693) =< aux(123) s(694) =< aux(123) s(695) =< aux(123) s(696) =< aux(123) s(697) =< aux(123) s(698) =< aux(123) s(699) =< aux(123) s(700) =< aux(123) s(701) =< aux(123) s(702) =< aux(123) s(685) =< aux(123) s(684) =< aux(123) s(685) =< aux(125) s(684) =< aux(125) s(703) =< aux(126) s(704) =< aux(126) s(705) =< aux(126) s(693) =< aux(127) s(704) =< aux(128) s(706) =< aux(129) s(694) =< aux(129) s(695) =< aux(129) s(697) =< aux(129) s(698) =< aux(129) s(700) =< aux(129) s(701) =< aux(129) s(685) =< aux(129) s(705) =< aux(132) s(707) =< aux(133) s(708) =< aux(134) s(699) =< aux(135) s(700) =< aux(135) s(701) =< aux(135) s(685) =< aux(135) s(698) =< aux(136) s(700) =< aux(136) s(695) =< aux(137) s(709) =< aux(124)+3 s(710) =< aux(124)+4 s(711) =< aux(124)+5 s(712) =< aux(124)+1 s(713) =< aux(124)+2 s(714) =< aux(124)-2 s(706) =< aux(125)*(1/3)+aux(129) s(694) =< aux(125)*(1/3)+aux(129) s(695) =< aux(125)*(1/3)+aux(129) s(696) =< aux(125)*(1/3)+aux(129) s(697) =< aux(125)*(1/3)+aux(129) s(698) =< aux(125)*(1/3)+aux(129) s(699) =< aux(125)*(1/3)+aux(129) s(700) =< aux(125)*(1/3)+aux(129) s(702) =< aux(125)*(1/3)+aux(129) s(685) =< aux(125)*(1/3)+aux(129) s(701) =< aux(125)*(1/3)+aux(129) s(698) =< aux(125)*(3/7)+aux(136) s(699) =< aux(125)*(3/7)+aux(136) s(700) =< aux(125)*(3/7)+aux(136) s(701) =< aux(125)*(3/7)+aux(136) s(702) =< aux(125)*(3/7)+aux(136) s(699) =< aux(125)*(1/5)+aux(135) s(700) =< aux(125)*(1/5)+aux(135) s(701) =< aux(125)*(1/5)+aux(135) s(702) =< aux(125)*(1/5)+aux(135) s(685) =< aux(125)*(1/5)+aux(135) s(695) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(696) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(697) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(698) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(699) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(700) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(701) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(702) =< aux(125)*(5/9)+s(684)*(1/9)+aux(137) s(693) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(694) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(695) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(696) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(697) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(698) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(699) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(700) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(701) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(702) =< aux(125)*(2/3)+s(684)*(1/3)+aux(127) s(705) =< aux(125)*(7/20)+s(684)*(1/20)+aux(132) s(692) =< aux(125)*(7/20)+s(684)*(1/20)+aux(132) s(704) =< aux(125)*(3/8)+s(684)*(1/8)+aux(128) s(705) =< aux(125)*(3/8)+s(684)*(1/8)+aux(128) s(692) =< aux(125)*(3/8)+s(684)*(1/8)+aux(128) s(703) =< aux(125)*(1/4)+aux(126) s(704) =< aux(125)*(1/4)+aux(126) s(705) =< aux(125)*(1/4)+aux(126) s(692) =< aux(125)*(1/4)+aux(126) s(707) =< aux(125)*(5/13)+s(684)*(2/13)+aux(133) s(703) =< aux(125)*(5/13)+s(684)*(2/13)+aux(133) s(704) =< aux(125)*(5/13)+s(684)*(2/13)+aux(133) s(705) =< aux(125)*(5/13)+s(684)*(2/13)+aux(133) s(692) =< aux(125)*(5/13)+s(684)*(2/13)+aux(133) s(715) =< s(702)*s(709) s(716) =< s(702)*s(710) s(717) =< s(702)*s(711) s(718) =< s(701)*s(710) s(719) =< s(698)*s(712) s(720) =< s(698)*s(710) s(721) =< s(697)*s(713) s(722) =< s(695)*s(712) s(723) =< s(694)*s(713) s(724) =< s(693)*s(713) s(708) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(707) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(703) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(704) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(705) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(692) =< aux(125)*(13/32)+s(685)*(1/32)+s(684)*(7/32)+aux(134) s(725) =< s(692)*s(709) s(726) =< s(692)*s(711) s(727) =< s(705)*s(714) s(728) =< s(704)*s(712) s(729) =< s(707)*s(714) s(730) =< s(708)*aux(124) s(731) =< s(715) s(732) =< s(717) s(716) =< s(717) s(733) =< s(706) s(734) =< s(718) s(735) =< s(720) s(736) =< s(724) s(737) =< s(726) s(738) =< aux(123) s(739) =< s(725) s(739) =< s(726) s(740) =< s(726) s(740) =< s(725) s(741) =< s(740) s(742) =< s(725) s(743) =< s(728) s(744) =< s(729) s(745) =< s(730) s(623) =< aux(108) s(624) =< aux(108) s(625) =< aux(108) s(626) =< aux(108) s(627) =< aux(108) s(628) =< aux(108) s(629) =< aux(108) s(630) =< aux(108) s(631) =< aux(108) s(632) =< aux(108) s(633) =< aux(108) s(616) =< aux(108) s(615) =< aux(108) s(616) =< aux(110) s(615) =< aux(110) s(634) =< aux(111) s(635) =< aux(111) s(636) =< aux(111) s(624) =< aux(112) s(635) =< aux(113) s(637) =< aux(114) s(625) =< aux(114) s(626) =< aux(114) s(628) =< aux(114) s(629) =< aux(114) s(631) =< aux(114) s(632) =< aux(114) s(616) =< aux(114) s(636) =< aux(117) s(638) =< aux(118) s(639) =< aux(119) s(630) =< aux(120) s(631) =< aux(120) s(632) =< aux(120) s(616) =< aux(120) s(629) =< aux(121) s(631) =< aux(121) s(626) =< aux(122) s(640) =< aux(109)+3 s(641) =< aux(109)+4 s(642) =< aux(109)+5 s(643) =< aux(109)+1 s(644) =< aux(109)+2 s(645) =< aux(109)-2 s(637) =< aux(110)*(1/3)+aux(114) s(625) =< aux(110)*(1/3)+aux(114) s(626) =< aux(110)*(1/3)+aux(114) s(627) =< aux(110)*(1/3)+aux(114) s(628) =< aux(110)*(1/3)+aux(114) s(629) =< aux(110)*(1/3)+aux(114) s(630) =< aux(110)*(1/3)+aux(114) s(631) =< aux(110)*(1/3)+aux(114) s(633) =< aux(110)*(1/3)+aux(114) s(616) =< aux(110)*(1/3)+aux(114) s(632) =< aux(110)*(1/3)+aux(114) s(629) =< aux(110)*(3/7)+aux(121) s(630) =< aux(110)*(3/7)+aux(121) s(631) =< aux(110)*(3/7)+aux(121) s(632) =< aux(110)*(3/7)+aux(121) s(633) =< aux(110)*(3/7)+aux(121) s(630) =< aux(110)*(1/5)+aux(120) s(631) =< aux(110)*(1/5)+aux(120) s(632) =< aux(110)*(1/5)+aux(120) s(633) =< aux(110)*(1/5)+aux(120) s(616) =< aux(110)*(1/5)+aux(120) s(626) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(627) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(628) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(629) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(630) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(631) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(632) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(633) =< aux(110)*(5/9)+s(615)*(1/9)+aux(122) s(624) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(625) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(626) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(627) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(628) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(629) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(630) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(631) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(632) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(633) =< aux(110)*(2/3)+s(615)*(1/3)+aux(112) s(636) =< aux(110)*(7/20)+s(615)*(1/20)+aux(117) s(623) =< aux(110)*(7/20)+s(615)*(1/20)+aux(117) s(635) =< aux(110)*(3/8)+s(615)*(1/8)+aux(113) s(636) =< aux(110)*(3/8)+s(615)*(1/8)+aux(113) s(623) =< aux(110)*(3/8)+s(615)*(1/8)+aux(113) s(634) =< aux(110)*(1/4)+aux(111) s(635) =< aux(110)*(1/4)+aux(111) s(636) =< aux(110)*(1/4)+aux(111) s(623) =< aux(110)*(1/4)+aux(111) s(638) =< aux(110)*(5/13)+s(615)*(2/13)+aux(118) s(634) =< aux(110)*(5/13)+s(615)*(2/13)+aux(118) s(635) =< aux(110)*(5/13)+s(615)*(2/13)+aux(118) s(636) =< aux(110)*(5/13)+s(615)*(2/13)+aux(118) s(623) =< aux(110)*(5/13)+s(615)*(2/13)+aux(118) s(646) =< s(633)*s(640) s(647) =< s(633)*s(641) s(648) =< s(633)*s(642) s(649) =< s(632)*s(641) s(650) =< s(629)*s(643) s(651) =< s(629)*s(641) s(652) =< s(628)*s(644) s(653) =< s(626)*s(643) s(654) =< s(625)*s(644) s(655) =< s(624)*s(644) s(639) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(638) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(634) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(635) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(636) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(623) =< aux(110)*(13/32)+s(616)*(1/32)+s(615)*(7/32)+aux(119) s(656) =< s(623)*s(640) s(657) =< s(623)*s(642) s(658) =< s(636)*s(645) s(659) =< s(635)*s(643) s(660) =< s(638)*s(645) s(661) =< s(639)*aux(109) s(662) =< s(646) s(663) =< s(648) s(647) =< s(648) s(664) =< s(637) s(665) =< s(649) s(666) =< s(651) s(667) =< s(655) s(668) =< s(657) s(669) =< aux(108) s(670) =< s(656) s(670) =< s(657) s(671) =< s(657) s(671) =< s(656) s(672) =< s(671) s(673) =< s(656) s(674) =< s(659) s(675) =< s(660) s(676) =< s(661) s(884) =< aux(124) with precondition: [Out=2,V1>=0,V>=0] * Chain [71]: 21*s(1109)+9*s(1110)+3*s(1111)+9*s(1112)+6*s(1113)+3*s(1114)+9*s(1115)+3*s(1116)+9*s(1117)+15*s(1118)+15*s(1119)+3*s(1120)+15*s(1121)+15*s(1122)+15*s(1124)+15*s(1125)+12*s(1133)+3*s(1136)+3*s(1138)+3*s(1139)+3*s(1140)+3*s(1144)+30*s(1148)+54*s(1149)+9*s(1150)+42*s(1151)+18*s(1152)+21*s(1153)+48*s(1154)+33*s(1155)+12*s(1156)+6*s(1158)+162*s(1159)+21*s(1160)+6*s(1161)+24*s(1162)+28*s(1178)+12*s(1179)+4*s(1180)+12*s(1181)+8*s(1182)+4*s(1183)+12*s(1184)+4*s(1185)+12*s(1186)+20*s(1187)+20*s(1188)+4*s(1189)+20*s(1190)+20*s(1191)+20*s(1193)+20*s(1194)+16*s(1202)+4*s(1205)+4*s(1207)+4*s(1208)+4*s(1209)+4*s(1213)+40*s(1217)+72*s(1218)+12*s(1219)+56*s(1220)+24*s(1221)+28*s(1222)+64*s(1223)+44*s(1224)+16*s(1225)+8*s(1227)+216*s(1228)+28*s(1229)+8*s(1230)+32*s(1231)+1*s(1370)+1*s(1578)+1 Such that:s(1578) =< 1 aux(139) =< V1 aux(140) =< 2*V1 aux(141) =< 2*V1+1 aux(142) =< V1/2 aux(143) =< V1/3 aux(144) =< V1/4 aux(145) =< 2/3*V1 aux(146) =< 2/3*V1+1/3 aux(147) =< 2/5*V1+1/5 aux(148) =< 3/10*V1 aux(149) =< 3/13*V1 aux(150) =< 3/16*V1 aux(151) =< 4/5*V1 aux(152) =< 4/7*V1 aux(153) =< 4/9*V1 aux(154) =< V aux(155) =< 2*V aux(156) =< 2*V+1 aux(157) =< V/2 aux(158) =< V/3 aux(159) =< V/4 aux(160) =< 2/3*V aux(161) =< 2/3*V+1/3 aux(162) =< 2/5*V+1/5 aux(163) =< 3/10*V aux(164) =< 3/13*V aux(165) =< 3/16*V aux(166) =< 4/5*V aux(167) =< 4/7*V aux(168) =< 4/9*V s(1101) =< aux(146) s(1102) =< aux(147) s(1170) =< aux(161) s(1171) =< aux(162) s(1178) =< aux(154) s(1179) =< aux(154) s(1180) =< aux(154) s(1181) =< aux(154) s(1182) =< aux(154) s(1183) =< aux(154) s(1184) =< aux(154) s(1185) =< aux(154) s(1186) =< aux(154) s(1187) =< aux(154) s(1188) =< aux(154) s(1171) =< aux(154) s(1170) =< aux(154) s(1171) =< aux(156) s(1170) =< aux(156) s(1189) =< aux(157) s(1190) =< aux(157) s(1191) =< aux(157) s(1179) =< aux(158) s(1190) =< aux(159) s(1192) =< aux(160) s(1180) =< aux(160) s(1181) =< aux(160) s(1183) =< aux(160) s(1184) =< aux(160) s(1186) =< aux(160) s(1187) =< aux(160) s(1171) =< aux(160) s(1191) =< aux(163) s(1193) =< aux(164) s(1194) =< aux(165) s(1185) =< aux(166) s(1186) =< aux(166) s(1187) =< aux(166) s(1171) =< aux(166) s(1184) =< aux(167) s(1186) =< aux(167) s(1181) =< aux(168) s(1195) =< aux(155)+3 s(1196) =< aux(155)+4 s(1197) =< aux(155)+5 s(1198) =< aux(155)+1 s(1199) =< aux(155)+2 s(1200) =< aux(155)-2 s(1192) =< aux(156)*(1/3)+aux(160) s(1180) =< aux(156)*(1/3)+aux(160) s(1181) =< aux(156)*(1/3)+aux(160) s(1182) =< aux(156)*(1/3)+aux(160) s(1183) =< aux(156)*(1/3)+aux(160) s(1184) =< aux(156)*(1/3)+aux(160) s(1185) =< aux(156)*(1/3)+aux(160) s(1186) =< aux(156)*(1/3)+aux(160) s(1188) =< aux(156)*(1/3)+aux(160) s(1171) =< aux(156)*(1/3)+aux(160) s(1187) =< aux(156)*(1/3)+aux(160) s(1184) =< aux(156)*(3/7)+aux(167) s(1185) =< aux(156)*(3/7)+aux(167) s(1186) =< aux(156)*(3/7)+aux(167) s(1187) =< aux(156)*(3/7)+aux(167) s(1188) =< aux(156)*(3/7)+aux(167) s(1185) =< aux(156)*(1/5)+aux(166) s(1186) =< aux(156)*(1/5)+aux(166) s(1187) =< aux(156)*(1/5)+aux(166) s(1188) =< aux(156)*(1/5)+aux(166) s(1171) =< aux(156)*(1/5)+aux(166) s(1181) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1182) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1183) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1184) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1185) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1186) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1187) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1188) =< aux(156)*(5/9)+s(1170)*(1/9)+aux(168) s(1179) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1180) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1181) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1182) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1183) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1184) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1185) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1186) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1187) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1188) =< aux(156)*(2/3)+s(1170)*(1/3)+aux(158) s(1191) =< aux(156)*(7/20)+s(1170)*(1/20)+aux(163) s(1178) =< aux(156)*(7/20)+s(1170)*(1/20)+aux(163) s(1190) =< aux(156)*(3/8)+s(1170)*(1/8)+aux(159) s(1191) =< aux(156)*(3/8)+s(1170)*(1/8)+aux(159) s(1178) =< aux(156)*(3/8)+s(1170)*(1/8)+aux(159) s(1189) =< aux(156)*(1/4)+aux(157) s(1190) =< aux(156)*(1/4)+aux(157) s(1191) =< aux(156)*(1/4)+aux(157) s(1178) =< aux(156)*(1/4)+aux(157) s(1193) =< aux(156)*(5/13)+s(1170)*(2/13)+aux(164) s(1189) =< aux(156)*(5/13)+s(1170)*(2/13)+aux(164) s(1190) =< aux(156)*(5/13)+s(1170)*(2/13)+aux(164) s(1191) =< aux(156)*(5/13)+s(1170)*(2/13)+aux(164) s(1178) =< aux(156)*(5/13)+s(1170)*(2/13)+aux(164) s(1201) =< s(1188)*s(1195) s(1202) =< s(1188)*s(1196) s(1203) =< s(1188)*s(1197) s(1204) =< s(1187)*s(1196) s(1205) =< s(1184)*s(1198) s(1206) =< s(1184)*s(1196) s(1207) =< s(1183)*s(1199) s(1208) =< s(1181)*s(1198) s(1209) =< s(1180)*s(1199) s(1210) =< s(1179)*s(1199) s(1194) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1193) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1189) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1190) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1191) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1178) =< aux(156)*(13/32)+s(1171)*(1/32)+s(1170)*(7/32)+aux(165) s(1211) =< s(1178)*s(1195) s(1212) =< s(1178)*s(1197) s(1213) =< s(1191)*s(1200) s(1214) =< s(1190)*s(1198) s(1215) =< s(1193)*s(1200) s(1216) =< s(1194)*aux(155) s(1217) =< s(1201) s(1218) =< s(1203) s(1202) =< s(1203) s(1219) =< s(1192) s(1220) =< s(1204) s(1221) =< s(1206) s(1222) =< s(1210) s(1223) =< s(1212) s(1224) =< aux(154) s(1225) =< s(1211) s(1225) =< s(1212) s(1226) =< s(1212) s(1226) =< s(1211) s(1227) =< s(1226) s(1228) =< s(1211) s(1229) =< s(1214) s(1230) =< s(1215) s(1231) =< s(1216) s(1109) =< aux(139) s(1110) =< aux(139) s(1111) =< aux(139) s(1112) =< aux(139) s(1113) =< aux(139) s(1114) =< aux(139) s(1115) =< aux(139) s(1116) =< aux(139) s(1117) =< aux(139) s(1118) =< aux(139) s(1119) =< aux(139) s(1102) =< aux(139) s(1101) =< aux(139) s(1102) =< aux(141) s(1101) =< aux(141) s(1120) =< aux(142) s(1121) =< aux(142) s(1122) =< aux(142) s(1110) =< aux(143) s(1121) =< aux(144) s(1123) =< aux(145) s(1111) =< aux(145) s(1112) =< aux(145) s(1114) =< aux(145) s(1115) =< aux(145) s(1117) =< aux(145) s(1118) =< aux(145) s(1102) =< aux(145) s(1122) =< aux(148) s(1124) =< aux(149) s(1125) =< aux(150) s(1116) =< aux(151) s(1117) =< aux(151) s(1118) =< aux(151) s(1102) =< aux(151) s(1115) =< aux(152) s(1117) =< aux(152) s(1112) =< aux(153) s(1126) =< aux(140)+3 s(1127) =< aux(140)+4 s(1128) =< aux(140)+5 s(1129) =< aux(140)+1 s(1130) =< aux(140)+2 s(1131) =< aux(140)-2 s(1123) =< aux(141)*(1/3)+aux(145) s(1111) =< aux(141)*(1/3)+aux(145) s(1112) =< aux(141)*(1/3)+aux(145) s(1113) =< aux(141)*(1/3)+aux(145) s(1114) =< aux(141)*(1/3)+aux(145) s(1115) =< aux(141)*(1/3)+aux(145) s(1116) =< aux(141)*(1/3)+aux(145) s(1117) =< aux(141)*(1/3)+aux(145) s(1119) =< aux(141)*(1/3)+aux(145) s(1102) =< aux(141)*(1/3)+aux(145) s(1118) =< aux(141)*(1/3)+aux(145) s(1115) =< aux(141)*(3/7)+aux(152) s(1116) =< aux(141)*(3/7)+aux(152) s(1117) =< aux(141)*(3/7)+aux(152) s(1118) =< aux(141)*(3/7)+aux(152) s(1119) =< aux(141)*(3/7)+aux(152) s(1116) =< aux(141)*(1/5)+aux(151) s(1117) =< aux(141)*(1/5)+aux(151) s(1118) =< aux(141)*(1/5)+aux(151) s(1119) =< aux(141)*(1/5)+aux(151) s(1102) =< aux(141)*(1/5)+aux(151) s(1112) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1113) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1114) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1115) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1116) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1117) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1118) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1119) =< aux(141)*(5/9)+s(1101)*(1/9)+aux(153) s(1110) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1111) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1112) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1113) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1114) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1115) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1116) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1117) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1118) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1119) =< aux(141)*(2/3)+s(1101)*(1/3)+aux(143) s(1122) =< aux(141)*(7/20)+s(1101)*(1/20)+aux(148) s(1109) =< aux(141)*(7/20)+s(1101)*(1/20)+aux(148) s(1121) =< aux(141)*(3/8)+s(1101)*(1/8)+aux(144) s(1122) =< aux(141)*(3/8)+s(1101)*(1/8)+aux(144) s(1109) =< aux(141)*(3/8)+s(1101)*(1/8)+aux(144) s(1120) =< aux(141)*(1/4)+aux(142) s(1121) =< aux(141)*(1/4)+aux(142) s(1122) =< aux(141)*(1/4)+aux(142) s(1109) =< aux(141)*(1/4)+aux(142) s(1124) =< aux(141)*(5/13)+s(1101)*(2/13)+aux(149) s(1120) =< aux(141)*(5/13)+s(1101)*(2/13)+aux(149) s(1121) =< aux(141)*(5/13)+s(1101)*(2/13)+aux(149) s(1122) =< aux(141)*(5/13)+s(1101)*(2/13)+aux(149) s(1109) =< aux(141)*(5/13)+s(1101)*(2/13)+aux(149) s(1132) =< s(1119)*s(1126) s(1133) =< s(1119)*s(1127) s(1134) =< s(1119)*s(1128) s(1135) =< s(1118)*s(1127) s(1136) =< s(1115)*s(1129) s(1137) =< s(1115)*s(1127) s(1138) =< s(1114)*s(1130) s(1139) =< s(1112)*s(1129) s(1140) =< s(1111)*s(1130) s(1141) =< s(1110)*s(1130) s(1125) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1124) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1120) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1121) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1122) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1109) =< aux(141)*(13/32)+s(1102)*(1/32)+s(1101)*(7/32)+aux(150) s(1142) =< s(1109)*s(1126) s(1143) =< s(1109)*s(1128) s(1144) =< s(1122)*s(1131) s(1145) =< s(1121)*s(1129) s(1146) =< s(1124)*s(1131) s(1147) =< s(1125)*aux(140) s(1148) =< s(1132) s(1149) =< s(1134) s(1133) =< s(1134) s(1150) =< s(1123) s(1151) =< s(1135) s(1152) =< s(1137) s(1153) =< s(1141) s(1154) =< s(1143) s(1155) =< aux(139) s(1156) =< s(1142) s(1156) =< s(1143) s(1157) =< s(1143) s(1157) =< s(1142) s(1158) =< s(1157) s(1159) =< s(1142) s(1160) =< s(1145) s(1161) =< s(1146) s(1162) =< s(1147) s(1370) =< aux(140) with precondition: [Out=1,V1>=1,V>=0] * Chain [70]: 7*s(1594)+3*s(1595)+1*s(1596)+3*s(1597)+2*s(1598)+1*s(1599)+3*s(1600)+1*s(1601)+3*s(1602)+5*s(1603)+5*s(1604)+1*s(1605)+5*s(1606)+5*s(1607)+5*s(1609)+5*s(1610)+4*s(1618)+1*s(1621)+1*s(1623)+1*s(1624)+1*s(1625)+1*s(1629)+10*s(1633)+18*s(1634)+3*s(1635)+14*s(1636)+6*s(1637)+7*s(1638)+16*s(1639)+11*s(1640)+4*s(1641)+2*s(1643)+54*s(1644)+7*s(1645)+2*s(1646)+8*s(1647)+2*s(1648)+0 Such that:s(1579) =< V1 s(1580) =< 2*V1 s(1581) =< 2*V1+1 s(1582) =< V1/2 s(1583) =< V1/3 s(1584) =< V1/4 s(1585) =< 2/3*V1 s(1586) =< 2/3*V1+1/3 s(1587) =< 2/5*V1+1/5 s(1588) =< 3/10*V1 s(1589) =< 3/13*V1 s(1590) =< 3/16*V1 s(1591) =< 4/5*V1 s(1592) =< 4/7*V1 s(1593) =< 4/9*V1 aux(169) =< 2 s(1648) =< aux(169) s(1594) =< s(1579) s(1595) =< s(1579) s(1596) =< s(1579) s(1597) =< s(1579) s(1598) =< s(1579) s(1599) =< s(1579) s(1600) =< s(1579) s(1601) =< s(1579) s(1602) =< s(1579) s(1603) =< s(1579) s(1604) =< s(1579) s(1587) =< s(1579) s(1586) =< s(1579) s(1587) =< s(1581) s(1586) =< s(1581) s(1605) =< s(1582) s(1606) =< s(1582) s(1607) =< s(1582) s(1595) =< s(1583) s(1606) =< s(1584) s(1608) =< s(1585) s(1596) =< s(1585) s(1597) =< s(1585) s(1599) =< s(1585) s(1600) =< s(1585) s(1602) =< s(1585) s(1603) =< s(1585) s(1587) =< s(1585) s(1607) =< s(1588) s(1609) =< s(1589) s(1610) =< s(1590) s(1601) =< s(1591) s(1602) =< s(1591) s(1603) =< s(1591) s(1587) =< s(1591) s(1600) =< s(1592) s(1602) =< s(1592) s(1597) =< s(1593) s(1611) =< s(1580)+3 s(1612) =< s(1580)+4 s(1613) =< s(1580)+5 s(1614) =< s(1580)+1 s(1615) =< s(1580)+2 s(1616) =< s(1580)-2 s(1608) =< s(1581)*(1/3)+s(1585) s(1596) =< s(1581)*(1/3)+s(1585) s(1597) =< s(1581)*(1/3)+s(1585) s(1598) =< s(1581)*(1/3)+s(1585) s(1599) =< s(1581)*(1/3)+s(1585) s(1600) =< s(1581)*(1/3)+s(1585) s(1601) =< s(1581)*(1/3)+s(1585) s(1602) =< s(1581)*(1/3)+s(1585) s(1604) =< s(1581)*(1/3)+s(1585) s(1587) =< s(1581)*(1/3)+s(1585) s(1603) =< s(1581)*(1/3)+s(1585) s(1600) =< s(1581)*(3/7)+s(1592) s(1601) =< s(1581)*(3/7)+s(1592) s(1602) =< s(1581)*(3/7)+s(1592) s(1603) =< s(1581)*(3/7)+s(1592) s(1604) =< s(1581)*(3/7)+s(1592) s(1601) =< s(1581)*(1/5)+s(1591) s(1602) =< s(1581)*(1/5)+s(1591) s(1603) =< s(1581)*(1/5)+s(1591) s(1604) =< s(1581)*(1/5)+s(1591) s(1587) =< s(1581)*(1/5)+s(1591) s(1597) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1598) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1599) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1600) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1601) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1602) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1603) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1604) =< s(1581)*(5/9)+s(1586)*(1/9)+s(1593) s(1595) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1596) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1597) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1598) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1599) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1600) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1601) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1602) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1603) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1604) =< s(1581)*(2/3)+s(1586)*(1/3)+s(1583) s(1607) =< s(1581)*(7/20)+s(1586)*(1/20)+s(1588) s(1594) =< s(1581)*(7/20)+s(1586)*(1/20)+s(1588) s(1606) =< s(1581)*(3/8)+s(1586)*(1/8)+s(1584) s(1607) =< s(1581)*(3/8)+s(1586)*(1/8)+s(1584) s(1594) =< s(1581)*(3/8)+s(1586)*(1/8)+s(1584) s(1605) =< s(1581)*(1/4)+s(1582) s(1606) =< s(1581)*(1/4)+s(1582) s(1607) =< s(1581)*(1/4)+s(1582) s(1594) =< s(1581)*(1/4)+s(1582) s(1609) =< s(1581)*(5/13)+s(1586)*(2/13)+s(1589) s(1605) =< s(1581)*(5/13)+s(1586)*(2/13)+s(1589) s(1606) =< s(1581)*(5/13)+s(1586)*(2/13)+s(1589) s(1607) =< s(1581)*(5/13)+s(1586)*(2/13)+s(1589) s(1594) =< s(1581)*(5/13)+s(1586)*(2/13)+s(1589) s(1617) =< s(1604)*s(1611) s(1618) =< s(1604)*s(1612) s(1619) =< s(1604)*s(1613) s(1620) =< s(1603)*s(1612) s(1621) =< s(1600)*s(1614) s(1622) =< s(1600)*s(1612) s(1623) =< s(1599)*s(1615) s(1624) =< s(1597)*s(1614) s(1625) =< s(1596)*s(1615) s(1626) =< s(1595)*s(1615) s(1610) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1609) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1605) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1606) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1607) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1594) =< s(1581)*(13/32)+s(1587)*(1/32)+s(1586)*(7/32)+s(1590) s(1627) =< s(1594)*s(1611) s(1628) =< s(1594)*s(1613) s(1629) =< s(1607)*s(1616) s(1630) =< s(1606)*s(1614) s(1631) =< s(1609)*s(1616) s(1632) =< s(1610)*s(1580) s(1633) =< s(1617) s(1634) =< s(1619) s(1618) =< s(1619) s(1635) =< s(1608) s(1636) =< s(1620) s(1637) =< s(1622) s(1638) =< s(1626) s(1639) =< s(1628) s(1640) =< s(1579) s(1641) =< s(1627) s(1641) =< s(1628) s(1642) =< s(1628) s(1642) =< s(1627) s(1643) =< s(1642) s(1644) =< s(1627) s(1645) =< s(1630) s(1646) =< s(1631) s(1647) =< s(1632) with precondition: [V=2,Out=0,V1>=0] * Chain [69]: 7*s(1665)+3*s(1666)+1*s(1667)+3*s(1668)+2*s(1669)+1*s(1670)+3*s(1671)+1*s(1672)+3*s(1673)+5*s(1674)+5*s(1675)+1*s(1676)+5*s(1677)+5*s(1678)+5*s(1680)+5*s(1681)+4*s(1689)+1*s(1692)+1*s(1694)+1*s(1695)+1*s(1696)+1*s(1700)+10*s(1704)+18*s(1705)+3*s(1706)+14*s(1707)+6*s(1708)+7*s(1709)+16*s(1710)+11*s(1711)+4*s(1712)+2*s(1714)+54*s(1715)+7*s(1716)+2*s(1717)+8*s(1718)+1*s(1719)+1 Such that:s(1719) =< 2 s(1650) =< V1 s(1651) =< 2*V1 s(1652) =< 2*V1+1 s(1653) =< V1/2 s(1654) =< V1/3 s(1655) =< V1/4 s(1656) =< 2/3*V1 s(1657) =< 2/3*V1+1/3 s(1658) =< 2/5*V1+1/5 s(1659) =< 3/10*V1 s(1660) =< 3/13*V1 s(1661) =< 3/16*V1 s(1662) =< 4/5*V1 s(1663) =< 4/7*V1 s(1664) =< 4/9*V1 s(1665) =< s(1650) s(1666) =< s(1650) s(1667) =< s(1650) s(1668) =< s(1650) s(1669) =< s(1650) s(1670) =< s(1650) s(1671) =< s(1650) s(1672) =< s(1650) s(1673) =< s(1650) s(1674) =< s(1650) s(1675) =< s(1650) s(1658) =< s(1650) s(1657) =< s(1650) s(1658) =< s(1652) s(1657) =< s(1652) s(1676) =< s(1653) s(1677) =< s(1653) s(1678) =< s(1653) s(1666) =< s(1654) s(1677) =< s(1655) s(1679) =< s(1656) s(1667) =< s(1656) s(1668) =< s(1656) s(1670) =< s(1656) s(1671) =< s(1656) s(1673) =< s(1656) s(1674) =< s(1656) s(1658) =< s(1656) s(1678) =< s(1659) s(1680) =< s(1660) s(1681) =< s(1661) s(1672) =< s(1662) s(1673) =< s(1662) s(1674) =< s(1662) s(1658) =< s(1662) s(1671) =< s(1663) s(1673) =< s(1663) s(1668) =< s(1664) s(1682) =< s(1651)+3 s(1683) =< s(1651)+4 s(1684) =< s(1651)+5 s(1685) =< s(1651)+1 s(1686) =< s(1651)+2 s(1687) =< s(1651)-2 s(1679) =< s(1652)*(1/3)+s(1656) s(1667) =< s(1652)*(1/3)+s(1656) s(1668) =< s(1652)*(1/3)+s(1656) s(1669) =< s(1652)*(1/3)+s(1656) s(1670) =< s(1652)*(1/3)+s(1656) s(1671) =< s(1652)*(1/3)+s(1656) s(1672) =< s(1652)*(1/3)+s(1656) s(1673) =< s(1652)*(1/3)+s(1656) s(1675) =< s(1652)*(1/3)+s(1656) s(1658) =< s(1652)*(1/3)+s(1656) s(1674) =< s(1652)*(1/3)+s(1656) s(1671) =< s(1652)*(3/7)+s(1663) s(1672) =< s(1652)*(3/7)+s(1663) s(1673) =< s(1652)*(3/7)+s(1663) s(1674) =< s(1652)*(3/7)+s(1663) s(1675) =< s(1652)*(3/7)+s(1663) s(1672) =< s(1652)*(1/5)+s(1662) s(1673) =< s(1652)*(1/5)+s(1662) s(1674) =< s(1652)*(1/5)+s(1662) s(1675) =< s(1652)*(1/5)+s(1662) s(1658) =< s(1652)*(1/5)+s(1662) s(1668) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1669) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1670) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1671) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1672) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1673) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1674) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1675) =< s(1652)*(5/9)+s(1657)*(1/9)+s(1664) s(1666) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1667) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1668) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1669) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1670) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1671) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1672) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1673) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1674) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1675) =< s(1652)*(2/3)+s(1657)*(1/3)+s(1654) s(1678) =< s(1652)*(7/20)+s(1657)*(1/20)+s(1659) s(1665) =< s(1652)*(7/20)+s(1657)*(1/20)+s(1659) s(1677) =< s(1652)*(3/8)+s(1657)*(1/8)+s(1655) s(1678) =< s(1652)*(3/8)+s(1657)*(1/8)+s(1655) s(1665) =< s(1652)*(3/8)+s(1657)*(1/8)+s(1655) s(1676) =< s(1652)*(1/4)+s(1653) s(1677) =< s(1652)*(1/4)+s(1653) s(1678) =< s(1652)*(1/4)+s(1653) s(1665) =< s(1652)*(1/4)+s(1653) s(1680) =< s(1652)*(5/13)+s(1657)*(2/13)+s(1660) s(1676) =< s(1652)*(5/13)+s(1657)*(2/13)+s(1660) s(1677) =< s(1652)*(5/13)+s(1657)*(2/13)+s(1660) s(1678) =< s(1652)*(5/13)+s(1657)*(2/13)+s(1660) s(1665) =< s(1652)*(5/13)+s(1657)*(2/13)+s(1660) s(1688) =< s(1675)*s(1682) s(1689) =< s(1675)*s(1683) s(1690) =< s(1675)*s(1684) s(1691) =< s(1674)*s(1683) s(1692) =< s(1671)*s(1685) s(1693) =< s(1671)*s(1683) s(1694) =< s(1670)*s(1686) s(1695) =< s(1668)*s(1685) s(1696) =< s(1667)*s(1686) s(1697) =< s(1666)*s(1686) s(1681) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1680) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1676) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1677) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1678) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1665) =< s(1652)*(13/32)+s(1658)*(1/32)+s(1657)*(7/32)+s(1661) s(1698) =< s(1665)*s(1682) s(1699) =< s(1665)*s(1684) s(1700) =< s(1678)*s(1687) s(1701) =< s(1677)*s(1685) s(1702) =< s(1680)*s(1687) s(1703) =< s(1681)*s(1651) s(1704) =< s(1688) s(1705) =< s(1690) s(1689) =< s(1690) s(1706) =< s(1679) s(1707) =< s(1691) s(1708) =< s(1693) s(1709) =< s(1697) s(1710) =< s(1699) s(1711) =< s(1650) s(1712) =< s(1698) s(1712) =< s(1699) s(1713) =< s(1699) s(1713) =< s(1698) s(1714) =< s(1713) s(1715) =< s(1698) s(1716) =< s(1701) s(1717) =< s(1702) s(1718) =< s(1703) with precondition: [V=2,Out=1,2*V1>=3] * Chain [68]: 14*s(1735)+6*s(1736)+2*s(1737)+6*s(1738)+4*s(1739)+2*s(1740)+6*s(1741)+2*s(1742)+6*s(1743)+10*s(1744)+10*s(1745)+2*s(1746)+10*s(1747)+10*s(1748)+10*s(1750)+10*s(1751)+8*s(1759)+2*s(1762)+2*s(1764)+2*s(1765)+2*s(1766)+2*s(1770)+20*s(1774)+36*s(1775)+6*s(1776)+28*s(1777)+12*s(1778)+14*s(1779)+32*s(1780)+22*s(1781)+8*s(1782)+4*s(1784)+108*s(1785)+14*s(1786)+4*s(1787)+16*s(1788)+1*s(1858)+1 Such that:s(1858) =< 2 aux(170) =< V1 aux(171) =< 2*V1 aux(172) =< 2*V1+1 aux(173) =< V1/2 aux(174) =< V1/3 aux(175) =< V1/4 aux(176) =< 2/3*V1 aux(177) =< 2/3*V1+1/3 aux(178) =< 2/5*V1+1/5 aux(179) =< 3/10*V1 aux(180) =< 3/13*V1 aux(181) =< 3/16*V1 aux(182) =< 4/5*V1 aux(183) =< 4/7*V1 aux(184) =< 4/9*V1 s(1727) =< aux(177) s(1728) =< aux(178) s(1735) =< aux(170) s(1736) =< aux(170) s(1737) =< aux(170) s(1738) =< aux(170) s(1739) =< aux(170) s(1740) =< aux(170) s(1741) =< aux(170) s(1742) =< aux(170) s(1743) =< aux(170) s(1744) =< aux(170) s(1745) =< aux(170) s(1728) =< aux(170) s(1727) =< aux(170) s(1728) =< aux(172) s(1727) =< aux(172) s(1746) =< aux(173) s(1747) =< aux(173) s(1748) =< aux(173) s(1736) =< aux(174) s(1747) =< aux(175) s(1749) =< aux(176) s(1737) =< aux(176) s(1738) =< aux(176) s(1740) =< aux(176) s(1741) =< aux(176) s(1743) =< aux(176) s(1744) =< aux(176) s(1728) =< aux(176) s(1748) =< aux(179) s(1750) =< aux(180) s(1751) =< aux(181) s(1742) =< aux(182) s(1743) =< aux(182) s(1744) =< aux(182) s(1728) =< aux(182) s(1741) =< aux(183) s(1743) =< aux(183) s(1738) =< aux(184) s(1752) =< aux(171)+3 s(1753) =< aux(171)+4 s(1754) =< aux(171)+5 s(1755) =< aux(171)+1 s(1756) =< aux(171)+2 s(1757) =< aux(171)-2 s(1749) =< aux(172)*(1/3)+aux(176) s(1737) =< aux(172)*(1/3)+aux(176) s(1738) =< aux(172)*(1/3)+aux(176) s(1739) =< aux(172)*(1/3)+aux(176) s(1740) =< aux(172)*(1/3)+aux(176) s(1741) =< aux(172)*(1/3)+aux(176) s(1742) =< aux(172)*(1/3)+aux(176) s(1743) =< aux(172)*(1/3)+aux(176) s(1745) =< aux(172)*(1/3)+aux(176) s(1728) =< aux(172)*(1/3)+aux(176) s(1744) =< aux(172)*(1/3)+aux(176) s(1741) =< aux(172)*(3/7)+aux(183) s(1742) =< aux(172)*(3/7)+aux(183) s(1743) =< aux(172)*(3/7)+aux(183) s(1744) =< aux(172)*(3/7)+aux(183) s(1745) =< aux(172)*(3/7)+aux(183) s(1742) =< aux(172)*(1/5)+aux(182) s(1743) =< aux(172)*(1/5)+aux(182) s(1744) =< aux(172)*(1/5)+aux(182) s(1745) =< aux(172)*(1/5)+aux(182) s(1728) =< aux(172)*(1/5)+aux(182) s(1738) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1739) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1740) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1741) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1742) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1743) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1744) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1745) =< aux(172)*(5/9)+s(1727)*(1/9)+aux(184) s(1736) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1737) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1738) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1739) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1740) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1741) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1742) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1743) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1744) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1745) =< aux(172)*(2/3)+s(1727)*(1/3)+aux(174) s(1748) =< aux(172)*(7/20)+s(1727)*(1/20)+aux(179) s(1735) =< aux(172)*(7/20)+s(1727)*(1/20)+aux(179) s(1747) =< aux(172)*(3/8)+s(1727)*(1/8)+aux(175) s(1748) =< aux(172)*(3/8)+s(1727)*(1/8)+aux(175) s(1735) =< aux(172)*(3/8)+s(1727)*(1/8)+aux(175) s(1746) =< aux(172)*(1/4)+aux(173) s(1747) =< aux(172)*(1/4)+aux(173) s(1748) =< aux(172)*(1/4)+aux(173) s(1735) =< aux(172)*(1/4)+aux(173) s(1750) =< aux(172)*(5/13)+s(1727)*(2/13)+aux(180) s(1746) =< aux(172)*(5/13)+s(1727)*(2/13)+aux(180) s(1747) =< aux(172)*(5/13)+s(1727)*(2/13)+aux(180) s(1748) =< aux(172)*(5/13)+s(1727)*(2/13)+aux(180) s(1735) =< aux(172)*(5/13)+s(1727)*(2/13)+aux(180) s(1758) =< s(1745)*s(1752) s(1759) =< s(1745)*s(1753) s(1760) =< s(1745)*s(1754) s(1761) =< s(1744)*s(1753) s(1762) =< s(1741)*s(1755) s(1763) =< s(1741)*s(1753) s(1764) =< s(1740)*s(1756) s(1765) =< s(1738)*s(1755) s(1766) =< s(1737)*s(1756) s(1767) =< s(1736)*s(1756) s(1751) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1750) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1746) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1747) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1748) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1735) =< aux(172)*(13/32)+s(1728)*(1/32)+s(1727)*(7/32)+aux(181) s(1768) =< s(1735)*s(1752) s(1769) =< s(1735)*s(1754) s(1770) =< s(1748)*s(1757) s(1771) =< s(1747)*s(1755) s(1772) =< s(1750)*s(1757) s(1773) =< s(1751)*aux(171) s(1774) =< s(1758) s(1775) =< s(1760) s(1759) =< s(1760) s(1776) =< s(1749) s(1777) =< s(1761) s(1778) =< s(1763) s(1779) =< s(1767) s(1780) =< s(1769) s(1781) =< aux(170) s(1782) =< s(1768) s(1782) =< s(1769) s(1783) =< s(1769) s(1783) =< s(1768) s(1784) =< s(1783) s(1785) =< s(1768) s(1786) =< s(1771) s(1787) =< s(1772) s(1788) =< s(1773) with precondition: [V=2,Out=2,V1>=0] #### Cost of chains of fun3(Out): * Chain [75]: 0 with precondition: [Out=0] * Chain [74]: 0 with precondition: [Out=2] #### Cost of chains of fun4(V1,Out): * Chain [78]: 7*s(2520)+3*s(2521)+1*s(2522)+3*s(2523)+2*s(2524)+1*s(2525)+3*s(2526)+1*s(2527)+3*s(2528)+5*s(2529)+5*s(2530)+1*s(2531)+5*s(2532)+5*s(2533)+5*s(2535)+5*s(2536)+4*s(2544)+1*s(2547)+1*s(2549)+1*s(2550)+1*s(2551)+1*s(2555)+10*s(2559)+18*s(2560)+3*s(2561)+14*s(2562)+6*s(2563)+7*s(2564)+16*s(2565)+11*s(2566)+4*s(2567)+2*s(2569)+54*s(2570)+7*s(2571)+2*s(2572)+8*s(2573)+0 Such that:s(2505) =< V1 s(2506) =< 2*V1 s(2507) =< 2*V1+1 s(2508) =< V1/2 s(2509) =< V1/3 s(2510) =< V1/4 s(2511) =< 2/3*V1 s(2512) =< 2/3*V1+1/3 s(2513) =< 2/5*V1+1/5 s(2514) =< 3/10*V1 s(2515) =< 3/13*V1 s(2516) =< 3/16*V1 s(2517) =< 4/5*V1 s(2518) =< 4/7*V1 s(2519) =< 4/9*V1 s(2520) =< s(2505) s(2521) =< s(2505) s(2522) =< s(2505) s(2523) =< s(2505) s(2524) =< s(2505) s(2525) =< s(2505) s(2526) =< s(2505) s(2527) =< s(2505) s(2528) =< s(2505) s(2529) =< s(2505) s(2530) =< s(2505) s(2513) =< s(2505) s(2512) =< s(2505) s(2513) =< s(2507) s(2512) =< s(2507) s(2531) =< s(2508) s(2532) =< s(2508) s(2533) =< s(2508) s(2521) =< s(2509) s(2532) =< s(2510) s(2534) =< s(2511) s(2522) =< s(2511) s(2523) =< s(2511) s(2525) =< s(2511) s(2526) =< s(2511) s(2528) =< s(2511) s(2529) =< s(2511) s(2513) =< s(2511) s(2533) =< s(2514) s(2535) =< s(2515) s(2536) =< s(2516) s(2527) =< s(2517) s(2528) =< s(2517) s(2529) =< s(2517) s(2513) =< s(2517) s(2526) =< s(2518) s(2528) =< s(2518) s(2523) =< s(2519) s(2537) =< s(2506)+3 s(2538) =< s(2506)+4 s(2539) =< s(2506)+5 s(2540) =< s(2506)+1 s(2541) =< s(2506)+2 s(2542) =< s(2506)-2 s(2534) =< s(2507)*(1/3)+s(2511) s(2522) =< s(2507)*(1/3)+s(2511) s(2523) =< s(2507)*(1/3)+s(2511) s(2524) =< s(2507)*(1/3)+s(2511) s(2525) =< s(2507)*(1/3)+s(2511) s(2526) =< s(2507)*(1/3)+s(2511) s(2527) =< s(2507)*(1/3)+s(2511) s(2528) =< s(2507)*(1/3)+s(2511) s(2530) =< s(2507)*(1/3)+s(2511) s(2513) =< s(2507)*(1/3)+s(2511) s(2529) =< s(2507)*(1/3)+s(2511) s(2526) =< s(2507)*(3/7)+s(2518) s(2527) =< s(2507)*(3/7)+s(2518) s(2528) =< s(2507)*(3/7)+s(2518) s(2529) =< s(2507)*(3/7)+s(2518) s(2530) =< s(2507)*(3/7)+s(2518) s(2527) =< s(2507)*(1/5)+s(2517) s(2528) =< s(2507)*(1/5)+s(2517) s(2529) =< s(2507)*(1/5)+s(2517) s(2530) =< s(2507)*(1/5)+s(2517) s(2513) =< s(2507)*(1/5)+s(2517) s(2523) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2524) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2525) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2526) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2527) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2528) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2529) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2530) =< s(2507)*(5/9)+s(2512)*(1/9)+s(2519) s(2521) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2522) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2523) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2524) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2525) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2526) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2527) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2528) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2529) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2530) =< s(2507)*(2/3)+s(2512)*(1/3)+s(2509) s(2533) =< s(2507)*(7/20)+s(2512)*(1/20)+s(2514) s(2520) =< s(2507)*(7/20)+s(2512)*(1/20)+s(2514) s(2532) =< s(2507)*(3/8)+s(2512)*(1/8)+s(2510) s(2533) =< s(2507)*(3/8)+s(2512)*(1/8)+s(2510) s(2520) =< s(2507)*(3/8)+s(2512)*(1/8)+s(2510) s(2531) =< s(2507)*(1/4)+s(2508) s(2532) =< s(2507)*(1/4)+s(2508) s(2533) =< s(2507)*(1/4)+s(2508) s(2520) =< s(2507)*(1/4)+s(2508) s(2535) =< s(2507)*(5/13)+s(2512)*(2/13)+s(2515) s(2531) =< s(2507)*(5/13)+s(2512)*(2/13)+s(2515) s(2532) =< s(2507)*(5/13)+s(2512)*(2/13)+s(2515) s(2533) =< s(2507)*(5/13)+s(2512)*(2/13)+s(2515) s(2520) =< s(2507)*(5/13)+s(2512)*(2/13)+s(2515) s(2543) =< s(2530)*s(2537) s(2544) =< s(2530)*s(2538) s(2545) =< s(2530)*s(2539) s(2546) =< s(2529)*s(2538) s(2547) =< s(2526)*s(2540) s(2548) =< s(2526)*s(2538) s(2549) =< s(2525)*s(2541) s(2550) =< s(2523)*s(2540) s(2551) =< s(2522)*s(2541) s(2552) =< s(2521)*s(2541) s(2536) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2535) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2531) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2532) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2533) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2520) =< s(2507)*(13/32)+s(2513)*(1/32)+s(2512)*(7/32)+s(2516) s(2553) =< s(2520)*s(2537) s(2554) =< s(2520)*s(2539) s(2555) =< s(2533)*s(2542) s(2556) =< s(2532)*s(2540) s(2557) =< s(2535)*s(2542) s(2558) =< s(2536)*s(2506) s(2559) =< s(2543) s(2560) =< s(2545) s(2544) =< s(2545) s(2561) =< s(2534) s(2562) =< s(2546) s(2563) =< s(2548) s(2564) =< s(2552) s(2565) =< s(2554) s(2566) =< s(2505) s(2567) =< s(2553) s(2567) =< s(2554) s(2568) =< s(2554) s(2568) =< s(2553) s(2569) =< s(2568) s(2570) =< s(2553) s(2571) =< s(2556) s(2572) =< s(2557) s(2573) =< s(2558) with precondition: [V1>=1,Out>=1,2*V1+1>=Out] * Chain [77]: 0 with precondition: [Out=0,V1>=0] * Chain [76]: 0 with precondition: [Out=1,V1>=0] #### Cost of chains of fun5(Out): * Chain [80]: 0 with precondition: [Out=0] * Chain [79]: 0 with precondition: [Out=1] #### Cost of chains of fun6(V1,V,Out): * Chain [85]: 14*s(2589)+6*s(2590)+2*s(2591)+6*s(2592)+4*s(2593)+2*s(2594)+6*s(2595)+2*s(2596)+6*s(2597)+10*s(2598)+10*s(2599)+2*s(2600)+10*s(2601)+10*s(2602)+10*s(2604)+10*s(2605)+8*s(2613)+2*s(2616)+2*s(2618)+2*s(2619)+2*s(2620)+2*s(2624)+20*s(2628)+36*s(2629)+6*s(2630)+28*s(2631)+12*s(2632)+14*s(2633)+32*s(2634)+22*s(2635)+8*s(2636)+4*s(2638)+108*s(2639)+14*s(2640)+4*s(2641)+16*s(2642)+28*s(2658)+12*s(2659)+4*s(2660)+12*s(2661)+8*s(2662)+4*s(2663)+12*s(2664)+4*s(2665)+12*s(2666)+20*s(2667)+20*s(2668)+4*s(2669)+20*s(2670)+20*s(2671)+20*s(2673)+20*s(2674)+16*s(2682)+4*s(2685)+4*s(2687)+4*s(2688)+4*s(2689)+4*s(2693)+40*s(2697)+72*s(2698)+12*s(2699)+56*s(2700)+24*s(2701)+28*s(2702)+64*s(2703)+44*s(2704)+16*s(2705)+8*s(2707)+216*s(2708)+28*s(2709)+8*s(2710)+32*s(2711)+3*s(2712)+2*s(2853)+1 Such that:aux(235) =< 2 aux(236) =< V1 aux(237) =< 2*V1 aux(238) =< 2*V1+1 aux(239) =< V1/2 aux(240) =< V1/3 aux(241) =< V1/4 aux(242) =< 2/3*V1 aux(243) =< 2/3*V1+1/3 aux(244) =< 2/5*V1+1/5 aux(245) =< 3/10*V1 aux(246) =< 3/13*V1 aux(247) =< 3/16*V1 aux(248) =< 4/5*V1 aux(249) =< 4/7*V1 aux(250) =< 4/9*V1 aux(251) =< V aux(252) =< 2*V aux(253) =< 2*V+1 aux(254) =< V/2 aux(255) =< V/3 aux(256) =< V/4 aux(257) =< 2/3*V aux(258) =< 2/3*V+1/3 aux(259) =< 2/5*V+1/5 aux(260) =< 3/10*V aux(261) =< 3/13*V aux(262) =< 3/16*V aux(263) =< 4/5*V aux(264) =< 4/7*V aux(265) =< 4/9*V s(2853) =< aux(235) s(2581) =< aux(243) s(2582) =< aux(244) s(2650) =< aux(258) s(2651) =< aux(259) s(2712) =< aux(252) s(2658) =< aux(251) s(2659) =< aux(251) s(2660) =< aux(251) s(2661) =< aux(251) s(2662) =< aux(251) s(2663) =< aux(251) s(2664) =< aux(251) s(2665) =< aux(251) s(2666) =< aux(251) s(2667) =< aux(251) s(2668) =< aux(251) s(2651) =< aux(251) s(2650) =< aux(251) s(2651) =< aux(253) s(2650) =< aux(253) s(2669) =< aux(254) s(2670) =< aux(254) s(2671) =< aux(254) s(2659) =< aux(255) s(2670) =< aux(256) s(2672) =< aux(257) s(2660) =< aux(257) s(2661) =< aux(257) s(2663) =< aux(257) s(2664) =< aux(257) s(2666) =< aux(257) s(2667) =< aux(257) s(2651) =< aux(257) s(2671) =< aux(260) s(2673) =< aux(261) s(2674) =< aux(262) s(2665) =< aux(263) s(2666) =< aux(263) s(2667) =< aux(263) s(2651) =< aux(263) s(2664) =< aux(264) s(2666) =< aux(264) s(2661) =< aux(265) s(2675) =< aux(252)+3 s(2676) =< aux(252)+4 s(2677) =< aux(252)+5 s(2678) =< aux(252)+1 s(2679) =< aux(252)+2 s(2680) =< aux(252)-2 s(2672) =< aux(253)*(1/3)+aux(257) s(2660) =< aux(253)*(1/3)+aux(257) s(2661) =< aux(253)*(1/3)+aux(257) s(2662) =< aux(253)*(1/3)+aux(257) s(2663) =< aux(253)*(1/3)+aux(257) s(2664) =< aux(253)*(1/3)+aux(257) s(2665) =< aux(253)*(1/3)+aux(257) s(2666) =< aux(253)*(1/3)+aux(257) s(2668) =< aux(253)*(1/3)+aux(257) s(2651) =< aux(253)*(1/3)+aux(257) s(2667) =< aux(253)*(1/3)+aux(257) s(2664) =< aux(253)*(3/7)+aux(264) s(2665) =< aux(253)*(3/7)+aux(264) s(2666) =< aux(253)*(3/7)+aux(264) s(2667) =< aux(253)*(3/7)+aux(264) s(2668) =< aux(253)*(3/7)+aux(264) s(2665) =< aux(253)*(1/5)+aux(263) s(2666) =< aux(253)*(1/5)+aux(263) s(2667) =< aux(253)*(1/5)+aux(263) s(2668) =< aux(253)*(1/5)+aux(263) s(2651) =< aux(253)*(1/5)+aux(263) s(2661) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2662) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2663) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2664) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2665) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2666) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2667) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2668) =< aux(253)*(5/9)+s(2650)*(1/9)+aux(265) s(2659) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2660) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2661) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2662) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2663) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2664) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2665) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2666) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2667) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2668) =< aux(253)*(2/3)+s(2650)*(1/3)+aux(255) s(2671) =< aux(253)*(7/20)+s(2650)*(1/20)+aux(260) s(2658) =< aux(253)*(7/20)+s(2650)*(1/20)+aux(260) s(2670) =< aux(253)*(3/8)+s(2650)*(1/8)+aux(256) s(2671) =< aux(253)*(3/8)+s(2650)*(1/8)+aux(256) s(2658) =< aux(253)*(3/8)+s(2650)*(1/8)+aux(256) s(2669) =< aux(253)*(1/4)+aux(254) s(2670) =< aux(253)*(1/4)+aux(254) s(2671) =< aux(253)*(1/4)+aux(254) s(2658) =< aux(253)*(1/4)+aux(254) s(2673) =< aux(253)*(5/13)+s(2650)*(2/13)+aux(261) s(2669) =< aux(253)*(5/13)+s(2650)*(2/13)+aux(261) s(2670) =< aux(253)*(5/13)+s(2650)*(2/13)+aux(261) s(2671) =< aux(253)*(5/13)+s(2650)*(2/13)+aux(261) s(2658) =< aux(253)*(5/13)+s(2650)*(2/13)+aux(261) s(2681) =< s(2668)*s(2675) s(2682) =< s(2668)*s(2676) s(2683) =< s(2668)*s(2677) s(2684) =< s(2667)*s(2676) s(2685) =< s(2664)*s(2678) s(2686) =< s(2664)*s(2676) s(2687) =< s(2663)*s(2679) s(2688) =< s(2661)*s(2678) s(2689) =< s(2660)*s(2679) s(2690) =< s(2659)*s(2679) s(2674) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2673) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2669) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2670) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2671) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2658) =< aux(253)*(13/32)+s(2651)*(1/32)+s(2650)*(7/32)+aux(262) s(2691) =< s(2658)*s(2675) s(2692) =< s(2658)*s(2677) s(2693) =< s(2671)*s(2680) s(2694) =< s(2670)*s(2678) s(2695) =< s(2673)*s(2680) s(2696) =< s(2674)*aux(252) s(2697) =< s(2681) s(2698) =< s(2683) s(2682) =< s(2683) s(2699) =< s(2672) s(2700) =< s(2684) s(2701) =< s(2686) s(2702) =< s(2690) s(2703) =< s(2692) s(2704) =< aux(251) s(2705) =< s(2691) s(2705) =< s(2692) s(2706) =< s(2692) s(2706) =< s(2691) s(2707) =< s(2706) s(2708) =< s(2691) s(2709) =< s(2694) s(2710) =< s(2695) s(2711) =< s(2696) s(2589) =< aux(236) s(2590) =< aux(236) s(2591) =< aux(236) s(2592) =< aux(236) s(2593) =< aux(236) s(2594) =< aux(236) s(2595) =< aux(236) s(2596) =< aux(236) s(2597) =< aux(236) s(2598) =< aux(236) s(2599) =< aux(236) s(2582) =< aux(236) s(2581) =< aux(236) s(2582) =< aux(238) s(2581) =< aux(238) s(2600) =< aux(239) s(2601) =< aux(239) s(2602) =< aux(239) s(2590) =< aux(240) s(2601) =< aux(241) s(2603) =< aux(242) s(2591) =< aux(242) s(2592) =< aux(242) s(2594) =< aux(242) s(2595) =< aux(242) s(2597) =< aux(242) s(2598) =< aux(242) s(2582) =< aux(242) s(2602) =< aux(245) s(2604) =< aux(246) s(2605) =< aux(247) s(2596) =< aux(248) s(2597) =< aux(248) s(2598) =< aux(248) s(2582) =< aux(248) s(2595) =< aux(249) s(2597) =< aux(249) s(2592) =< aux(250) s(2606) =< aux(237)+3 s(2607) =< aux(237)+4 s(2608) =< aux(237)+5 s(2609) =< aux(237)+1 s(2610) =< aux(237)+2 s(2611) =< aux(237)-2 s(2603) =< aux(238)*(1/3)+aux(242) s(2591) =< aux(238)*(1/3)+aux(242) s(2592) =< aux(238)*(1/3)+aux(242) s(2593) =< aux(238)*(1/3)+aux(242) s(2594) =< aux(238)*(1/3)+aux(242) s(2595) =< aux(238)*(1/3)+aux(242) s(2596) =< aux(238)*(1/3)+aux(242) s(2597) =< aux(238)*(1/3)+aux(242) s(2599) =< aux(238)*(1/3)+aux(242) s(2582) =< aux(238)*(1/3)+aux(242) s(2598) =< aux(238)*(1/3)+aux(242) s(2595) =< aux(238)*(3/7)+aux(249) s(2596) =< aux(238)*(3/7)+aux(249) s(2597) =< aux(238)*(3/7)+aux(249) s(2598) =< aux(238)*(3/7)+aux(249) s(2599) =< aux(238)*(3/7)+aux(249) s(2596) =< aux(238)*(1/5)+aux(248) s(2597) =< aux(238)*(1/5)+aux(248) s(2598) =< aux(238)*(1/5)+aux(248) s(2599) =< aux(238)*(1/5)+aux(248) s(2582) =< aux(238)*(1/5)+aux(248) s(2592) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2593) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2594) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2595) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2596) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2597) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2598) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2599) =< aux(238)*(5/9)+s(2581)*(1/9)+aux(250) s(2590) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2591) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2592) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2593) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2594) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2595) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2596) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2597) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2598) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2599) =< aux(238)*(2/3)+s(2581)*(1/3)+aux(240) s(2602) =< aux(238)*(7/20)+s(2581)*(1/20)+aux(245) s(2589) =< aux(238)*(7/20)+s(2581)*(1/20)+aux(245) s(2601) =< aux(238)*(3/8)+s(2581)*(1/8)+aux(241) s(2602) =< aux(238)*(3/8)+s(2581)*(1/8)+aux(241) s(2589) =< aux(238)*(3/8)+s(2581)*(1/8)+aux(241) s(2600) =< aux(238)*(1/4)+aux(239) s(2601) =< aux(238)*(1/4)+aux(239) s(2602) =< aux(238)*(1/4)+aux(239) s(2589) =< aux(238)*(1/4)+aux(239) s(2604) =< aux(238)*(5/13)+s(2581)*(2/13)+aux(246) s(2600) =< aux(238)*(5/13)+s(2581)*(2/13)+aux(246) s(2601) =< aux(238)*(5/13)+s(2581)*(2/13)+aux(246) s(2602) =< aux(238)*(5/13)+s(2581)*(2/13)+aux(246) s(2589) =< aux(238)*(5/13)+s(2581)*(2/13)+aux(246) s(2612) =< s(2599)*s(2606) s(2613) =< s(2599)*s(2607) s(2614) =< s(2599)*s(2608) s(2615) =< s(2598)*s(2607) s(2616) =< s(2595)*s(2609) s(2617) =< s(2595)*s(2607) s(2618) =< s(2594)*s(2610) s(2619) =< s(2592)*s(2609) s(2620) =< s(2591)*s(2610) s(2621) =< s(2590)*s(2610) s(2605) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2604) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2600) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2601) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2602) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2589) =< aux(238)*(13/32)+s(2582)*(1/32)+s(2581)*(7/32)+aux(247) s(2622) =< s(2589)*s(2606) s(2623) =< s(2589)*s(2608) s(2624) =< s(2602)*s(2611) s(2625) =< s(2601)*s(2609) s(2626) =< s(2604)*s(2611) s(2627) =< s(2605)*aux(237) s(2628) =< s(2612) s(2629) =< s(2614) s(2613) =< s(2614) s(2630) =< s(2603) s(2631) =< s(2615) s(2632) =< s(2617) s(2633) =< s(2621) s(2634) =< s(2623) s(2635) =< aux(236) s(2636) =< s(2622) s(2636) =< s(2623) s(2637) =< s(2623) s(2637) =< s(2622) s(2638) =< s(2637) s(2639) =< s(2622) s(2640) =< s(2625) s(2641) =< s(2626) s(2642) =< s(2627) with precondition: [Out=0,V1>=0,V>=0] * Chain [84]: 21*s(3011)+9*s(3012)+3*s(3013)+9*s(3014)+6*s(3015)+3*s(3016)+9*s(3017)+3*s(3018)+9*s(3019)+15*s(3020)+15*s(3021)+3*s(3022)+15*s(3023)+15*s(3024)+15*s(3026)+15*s(3027)+12*s(3035)+3*s(3038)+3*s(3040)+3*s(3041)+3*s(3042)+3*s(3046)+30*s(3050)+54*s(3051)+9*s(3052)+42*s(3053)+18*s(3054)+21*s(3055)+48*s(3056)+33*s(3057)+12*s(3058)+6*s(3060)+162*s(3061)+21*s(3062)+6*s(3063)+24*s(3064)+21*s(3080)+9*s(3081)+3*s(3082)+9*s(3083)+6*s(3084)+3*s(3085)+9*s(3086)+3*s(3087)+9*s(3088)+15*s(3089)+15*s(3090)+3*s(3091)+15*s(3092)+15*s(3093)+15*s(3095)+15*s(3096)+12*s(3104)+3*s(3107)+3*s(3109)+3*s(3110)+3*s(3111)+3*s(3115)+30*s(3119)+54*s(3120)+9*s(3121)+42*s(3122)+18*s(3123)+21*s(3124)+48*s(3125)+33*s(3126)+12*s(3127)+6*s(3129)+162*s(3130)+21*s(3131)+6*s(3132)+24*s(3133)+1*s(3272)+1 Such that:aux(267) =< V1 aux(268) =< 2*V1 aux(269) =< 2*V1+1 aux(270) =< V1/2 aux(271) =< V1/3 aux(272) =< V1/4 aux(273) =< 2/3*V1 aux(274) =< 2/3*V1+1/3 aux(275) =< 2/5*V1+1/5 aux(276) =< 3/10*V1 aux(277) =< 3/13*V1 aux(278) =< 3/16*V1 aux(279) =< 4/5*V1 aux(280) =< 4/7*V1 aux(281) =< 4/9*V1 aux(282) =< V aux(283) =< 2*V aux(284) =< 2*V+1 aux(285) =< V/2 aux(286) =< V/3 aux(287) =< V/4 aux(288) =< 2/3*V aux(289) =< 2/3*V+1/3 aux(290) =< 2/5*V+1/5 aux(291) =< 3/10*V aux(292) =< 3/13*V aux(293) =< 3/16*V aux(294) =< 4/5*V aux(295) =< 4/7*V aux(296) =< 4/9*V s(3003) =< aux(274) s(3004) =< aux(275) s(3072) =< aux(289) s(3073) =< aux(290) s(3080) =< aux(282) s(3081) =< aux(282) s(3082) =< aux(282) s(3083) =< aux(282) s(3084) =< aux(282) s(3085) =< aux(282) s(3086) =< aux(282) s(3087) =< aux(282) s(3088) =< aux(282) s(3089) =< aux(282) s(3090) =< aux(282) s(3073) =< aux(282) s(3072) =< aux(282) s(3073) =< aux(284) s(3072) =< aux(284) s(3091) =< aux(285) s(3092) =< aux(285) s(3093) =< aux(285) s(3081) =< aux(286) s(3092) =< aux(287) s(3094) =< aux(288) s(3082) =< aux(288) s(3083) =< aux(288) s(3085) =< aux(288) s(3086) =< aux(288) s(3088) =< aux(288) s(3089) =< aux(288) s(3073) =< aux(288) s(3093) =< aux(291) s(3095) =< aux(292) s(3096) =< aux(293) s(3087) =< aux(294) s(3088) =< aux(294) s(3089) =< aux(294) s(3073) =< aux(294) s(3086) =< aux(295) s(3088) =< aux(295) s(3083) =< aux(296) s(3097) =< aux(283)+3 s(3098) =< aux(283)+4 s(3099) =< aux(283)+5 s(3100) =< aux(283)+1 s(3101) =< aux(283)+2 s(3102) =< aux(283)-2 s(3094) =< aux(284)*(1/3)+aux(288) s(3082) =< aux(284)*(1/3)+aux(288) s(3083) =< aux(284)*(1/3)+aux(288) s(3084) =< aux(284)*(1/3)+aux(288) s(3085) =< aux(284)*(1/3)+aux(288) s(3086) =< aux(284)*(1/3)+aux(288) s(3087) =< aux(284)*(1/3)+aux(288) s(3088) =< aux(284)*(1/3)+aux(288) s(3090) =< aux(284)*(1/3)+aux(288) s(3073) =< aux(284)*(1/3)+aux(288) s(3089) =< aux(284)*(1/3)+aux(288) s(3086) =< aux(284)*(3/7)+aux(295) s(3087) =< aux(284)*(3/7)+aux(295) s(3088) =< aux(284)*(3/7)+aux(295) s(3089) =< aux(284)*(3/7)+aux(295) s(3090) =< aux(284)*(3/7)+aux(295) s(3087) =< aux(284)*(1/5)+aux(294) s(3088) =< aux(284)*(1/5)+aux(294) s(3089) =< aux(284)*(1/5)+aux(294) s(3090) =< aux(284)*(1/5)+aux(294) s(3073) =< aux(284)*(1/5)+aux(294) s(3083) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3084) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3085) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3086) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3087) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3088) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3089) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3090) =< aux(284)*(5/9)+s(3072)*(1/9)+aux(296) s(3081) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3082) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3083) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3084) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3085) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3086) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3087) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3088) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3089) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3090) =< aux(284)*(2/3)+s(3072)*(1/3)+aux(286) s(3093) =< aux(284)*(7/20)+s(3072)*(1/20)+aux(291) s(3080) =< aux(284)*(7/20)+s(3072)*(1/20)+aux(291) s(3092) =< aux(284)*(3/8)+s(3072)*(1/8)+aux(287) s(3093) =< aux(284)*(3/8)+s(3072)*(1/8)+aux(287) s(3080) =< aux(284)*(3/8)+s(3072)*(1/8)+aux(287) s(3091) =< aux(284)*(1/4)+aux(285) s(3092) =< aux(284)*(1/4)+aux(285) s(3093) =< aux(284)*(1/4)+aux(285) s(3080) =< aux(284)*(1/4)+aux(285) s(3095) =< aux(284)*(5/13)+s(3072)*(2/13)+aux(292) s(3091) =< aux(284)*(5/13)+s(3072)*(2/13)+aux(292) s(3092) =< aux(284)*(5/13)+s(3072)*(2/13)+aux(292) s(3093) =< aux(284)*(5/13)+s(3072)*(2/13)+aux(292) s(3080) =< aux(284)*(5/13)+s(3072)*(2/13)+aux(292) s(3103) =< s(3090)*s(3097) s(3104) =< s(3090)*s(3098) s(3105) =< s(3090)*s(3099) s(3106) =< s(3089)*s(3098) s(3107) =< s(3086)*s(3100) s(3108) =< s(3086)*s(3098) s(3109) =< s(3085)*s(3101) s(3110) =< s(3083)*s(3100) s(3111) =< s(3082)*s(3101) s(3112) =< s(3081)*s(3101) s(3096) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3095) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3091) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3092) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3093) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3080) =< aux(284)*(13/32)+s(3073)*(1/32)+s(3072)*(7/32)+aux(293) s(3113) =< s(3080)*s(3097) s(3114) =< s(3080)*s(3099) s(3115) =< s(3093)*s(3102) s(3116) =< s(3092)*s(3100) s(3117) =< s(3095)*s(3102) s(3118) =< s(3096)*aux(283) s(3119) =< s(3103) s(3120) =< s(3105) s(3104) =< s(3105) s(3121) =< s(3094) s(3122) =< s(3106) s(3123) =< s(3108) s(3124) =< s(3112) s(3125) =< s(3114) s(3126) =< aux(282) s(3127) =< s(3113) s(3127) =< s(3114) s(3128) =< s(3114) s(3128) =< s(3113) s(3129) =< s(3128) s(3130) =< s(3113) s(3131) =< s(3116) s(3132) =< s(3117) s(3133) =< s(3118) s(3011) =< aux(267) s(3012) =< aux(267) s(3013) =< aux(267) s(3014) =< aux(267) s(3015) =< aux(267) s(3016) =< aux(267) s(3017) =< aux(267) s(3018) =< aux(267) s(3019) =< aux(267) s(3020) =< aux(267) s(3021) =< aux(267) s(3004) =< aux(267) s(3003) =< aux(267) s(3004) =< aux(269) s(3003) =< aux(269) s(3022) =< aux(270) s(3023) =< aux(270) s(3024) =< aux(270) s(3012) =< aux(271) s(3023) =< aux(272) s(3025) =< aux(273) s(3013) =< aux(273) s(3014) =< aux(273) s(3016) =< aux(273) s(3017) =< aux(273) s(3019) =< aux(273) s(3020) =< aux(273) s(3004) =< aux(273) s(3024) =< aux(276) s(3026) =< aux(277) s(3027) =< aux(278) s(3018) =< aux(279) s(3019) =< aux(279) s(3020) =< aux(279) s(3004) =< aux(279) s(3017) =< aux(280) s(3019) =< aux(280) s(3014) =< aux(281) s(3028) =< aux(268)+3 s(3029) =< aux(268)+4 s(3030) =< aux(268)+5 s(3031) =< aux(268)+1 s(3032) =< aux(268)+2 s(3033) =< aux(268)-2 s(3025) =< aux(269)*(1/3)+aux(273) s(3013) =< aux(269)*(1/3)+aux(273) s(3014) =< aux(269)*(1/3)+aux(273) s(3015) =< aux(269)*(1/3)+aux(273) s(3016) =< aux(269)*(1/3)+aux(273) s(3017) =< aux(269)*(1/3)+aux(273) s(3018) =< aux(269)*(1/3)+aux(273) s(3019) =< aux(269)*(1/3)+aux(273) s(3021) =< aux(269)*(1/3)+aux(273) s(3004) =< aux(269)*(1/3)+aux(273) s(3020) =< aux(269)*(1/3)+aux(273) s(3017) =< aux(269)*(3/7)+aux(280) s(3018) =< aux(269)*(3/7)+aux(280) s(3019) =< aux(269)*(3/7)+aux(280) s(3020) =< aux(269)*(3/7)+aux(280) s(3021) =< aux(269)*(3/7)+aux(280) s(3018) =< aux(269)*(1/5)+aux(279) s(3019) =< aux(269)*(1/5)+aux(279) s(3020) =< aux(269)*(1/5)+aux(279) s(3021) =< aux(269)*(1/5)+aux(279) s(3004) =< aux(269)*(1/5)+aux(279) s(3014) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3015) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3016) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3017) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3018) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3019) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3020) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3021) =< aux(269)*(5/9)+s(3003)*(1/9)+aux(281) s(3012) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3013) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3014) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3015) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3016) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3017) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3018) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3019) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3020) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3021) =< aux(269)*(2/3)+s(3003)*(1/3)+aux(271) s(3024) =< aux(269)*(7/20)+s(3003)*(1/20)+aux(276) s(3011) =< aux(269)*(7/20)+s(3003)*(1/20)+aux(276) s(3023) =< aux(269)*(3/8)+s(3003)*(1/8)+aux(272) s(3024) =< aux(269)*(3/8)+s(3003)*(1/8)+aux(272) s(3011) =< aux(269)*(3/8)+s(3003)*(1/8)+aux(272) s(3022) =< aux(269)*(1/4)+aux(270) s(3023) =< aux(269)*(1/4)+aux(270) s(3024) =< aux(269)*(1/4)+aux(270) s(3011) =< aux(269)*(1/4)+aux(270) s(3026) =< aux(269)*(5/13)+s(3003)*(2/13)+aux(277) s(3022) =< aux(269)*(5/13)+s(3003)*(2/13)+aux(277) s(3023) =< aux(269)*(5/13)+s(3003)*(2/13)+aux(277) s(3024) =< aux(269)*(5/13)+s(3003)*(2/13)+aux(277) s(3011) =< aux(269)*(5/13)+s(3003)*(2/13)+aux(277) s(3034) =< s(3021)*s(3028) s(3035) =< s(3021)*s(3029) s(3036) =< s(3021)*s(3030) s(3037) =< s(3020)*s(3029) s(3038) =< s(3017)*s(3031) s(3039) =< s(3017)*s(3029) s(3040) =< s(3016)*s(3032) s(3041) =< s(3014)*s(3031) s(3042) =< s(3013)*s(3032) s(3043) =< s(3012)*s(3032) s(3027) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3026) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3022) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3023) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3024) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3011) =< aux(269)*(13/32)+s(3004)*(1/32)+s(3003)*(7/32)+aux(278) s(3044) =< s(3011)*s(3028) s(3045) =< s(3011)*s(3030) s(3046) =< s(3024)*s(3033) s(3047) =< s(3023)*s(3031) s(3048) =< s(3026)*s(3033) s(3049) =< s(3027)*aux(268) s(3050) =< s(3034) s(3051) =< s(3036) s(3035) =< s(3036) s(3052) =< s(3025) s(3053) =< s(3037) s(3054) =< s(3039) s(3055) =< s(3043) s(3056) =< s(3045) s(3057) =< aux(267) s(3058) =< s(3044) s(3058) =< s(3045) s(3059) =< s(3045) s(3059) =< s(3044) s(3060) =< s(3059) s(3061) =< s(3044) s(3062) =< s(3047) s(3063) =< s(3048) s(3064) =< s(3049) s(3272) =< aux(283) with precondition: [V1>=1,V>=0,Out>=0,2*V1>=Out] * Chain [83]: 7*s(3426)+3*s(3427)+1*s(3428)+3*s(3429)+2*s(3430)+1*s(3431)+3*s(3432)+1*s(3433)+3*s(3434)+5*s(3435)+5*s(3436)+1*s(3437)+5*s(3438)+5*s(3439)+5*s(3441)+5*s(3442)+4*s(3450)+1*s(3453)+1*s(3455)+1*s(3456)+1*s(3457)+1*s(3461)+10*s(3465)+18*s(3466)+3*s(3467)+14*s(3468)+6*s(3469)+7*s(3470)+16*s(3471)+11*s(3472)+4*s(3473)+2*s(3475)+54*s(3476)+7*s(3477)+2*s(3478)+8*s(3479)+1*s(3480)+1 Such that:s(3480) =< 2 s(3411) =< V s(3412) =< 2*V s(3413) =< 2*V+1 s(3414) =< V/2 s(3415) =< V/3 s(3416) =< V/4 s(3417) =< 2/3*V s(3418) =< 2/3*V+1/3 s(3419) =< 2/5*V+1/5 s(3420) =< 3/10*V s(3421) =< 3/13*V s(3422) =< 3/16*V s(3423) =< 4/5*V s(3424) =< 4/7*V s(3425) =< 4/9*V s(3426) =< s(3411) s(3427) =< s(3411) s(3428) =< s(3411) s(3429) =< s(3411) s(3430) =< s(3411) s(3431) =< s(3411) s(3432) =< s(3411) s(3433) =< s(3411) s(3434) =< s(3411) s(3435) =< s(3411) s(3436) =< s(3411) s(3419) =< s(3411) s(3418) =< s(3411) s(3419) =< s(3413) s(3418) =< s(3413) s(3437) =< s(3414) s(3438) =< s(3414) s(3439) =< s(3414) s(3427) =< s(3415) s(3438) =< s(3416) s(3440) =< s(3417) s(3428) =< s(3417) s(3429) =< s(3417) s(3431) =< s(3417) s(3432) =< s(3417) s(3434) =< s(3417) s(3435) =< s(3417) s(3419) =< s(3417) s(3439) =< s(3420) s(3441) =< s(3421) s(3442) =< s(3422) s(3433) =< s(3423) s(3434) =< s(3423) s(3435) =< s(3423) s(3419) =< s(3423) s(3432) =< s(3424) s(3434) =< s(3424) s(3429) =< s(3425) s(3443) =< s(3412)+3 s(3444) =< s(3412)+4 s(3445) =< s(3412)+5 s(3446) =< s(3412)+1 s(3447) =< s(3412)+2 s(3448) =< s(3412)-2 s(3440) =< s(3413)*(1/3)+s(3417) s(3428) =< s(3413)*(1/3)+s(3417) s(3429) =< s(3413)*(1/3)+s(3417) s(3430) =< s(3413)*(1/3)+s(3417) s(3431) =< s(3413)*(1/3)+s(3417) s(3432) =< s(3413)*(1/3)+s(3417) s(3433) =< s(3413)*(1/3)+s(3417) s(3434) =< s(3413)*(1/3)+s(3417) s(3436) =< s(3413)*(1/3)+s(3417) s(3419) =< s(3413)*(1/3)+s(3417) s(3435) =< s(3413)*(1/3)+s(3417) s(3432) =< s(3413)*(3/7)+s(3424) s(3433) =< s(3413)*(3/7)+s(3424) s(3434) =< s(3413)*(3/7)+s(3424) s(3435) =< s(3413)*(3/7)+s(3424) s(3436) =< s(3413)*(3/7)+s(3424) s(3433) =< s(3413)*(1/5)+s(3423) s(3434) =< s(3413)*(1/5)+s(3423) s(3435) =< s(3413)*(1/5)+s(3423) s(3436) =< s(3413)*(1/5)+s(3423) s(3419) =< s(3413)*(1/5)+s(3423) s(3429) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3430) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3431) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3432) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3433) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3434) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3435) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3436) =< s(3413)*(5/9)+s(3418)*(1/9)+s(3425) s(3427) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3428) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3429) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3430) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3431) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3432) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3433) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3434) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3435) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3436) =< s(3413)*(2/3)+s(3418)*(1/3)+s(3415) s(3439) =< s(3413)*(7/20)+s(3418)*(1/20)+s(3420) s(3426) =< s(3413)*(7/20)+s(3418)*(1/20)+s(3420) s(3438) =< s(3413)*(3/8)+s(3418)*(1/8)+s(3416) s(3439) =< s(3413)*(3/8)+s(3418)*(1/8)+s(3416) s(3426) =< s(3413)*(3/8)+s(3418)*(1/8)+s(3416) s(3437) =< s(3413)*(1/4)+s(3414) s(3438) =< s(3413)*(1/4)+s(3414) s(3439) =< s(3413)*(1/4)+s(3414) s(3426) =< s(3413)*(1/4)+s(3414) s(3441) =< s(3413)*(5/13)+s(3418)*(2/13)+s(3421) s(3437) =< s(3413)*(5/13)+s(3418)*(2/13)+s(3421) s(3438) =< s(3413)*(5/13)+s(3418)*(2/13)+s(3421) s(3439) =< s(3413)*(5/13)+s(3418)*(2/13)+s(3421) s(3426) =< s(3413)*(5/13)+s(3418)*(2/13)+s(3421) s(3449) =< s(3436)*s(3443) s(3450) =< s(3436)*s(3444) s(3451) =< s(3436)*s(3445) s(3452) =< s(3435)*s(3444) s(3453) =< s(3432)*s(3446) s(3454) =< s(3432)*s(3444) s(3455) =< s(3431)*s(3447) s(3456) =< s(3429)*s(3446) s(3457) =< s(3428)*s(3447) s(3458) =< s(3427)*s(3447) s(3442) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3441) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3437) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3438) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3439) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3426) =< s(3413)*(13/32)+s(3419)*(1/32)+s(3418)*(7/32)+s(3422) s(3459) =< s(3426)*s(3443) s(3460) =< s(3426)*s(3445) s(3461) =< s(3439)*s(3448) s(3462) =< s(3438)*s(3446) s(3463) =< s(3441)*s(3448) s(3464) =< s(3442)*s(3412) s(3465) =< s(3449) s(3466) =< s(3451) s(3450) =< s(3451) s(3467) =< s(3440) s(3468) =< s(3452) s(3469) =< s(3454) s(3470) =< s(3458) s(3471) =< s(3460) s(3472) =< s(3411) s(3473) =< s(3459) s(3473) =< s(3460) s(3474) =< s(3460) s(3474) =< s(3459) s(3475) =< s(3474) s(3476) =< s(3459) s(3477) =< s(3462) s(3478) =< s(3463) s(3479) =< s(3464) with precondition: [V1=2,1>=Out,V>=1,Out>=0] * Chain [82]: 7*s(3496)+3*s(3497)+1*s(3498)+3*s(3499)+2*s(3500)+1*s(3501)+3*s(3502)+1*s(3503)+3*s(3504)+5*s(3505)+5*s(3506)+1*s(3507)+5*s(3508)+5*s(3509)+5*s(3511)+5*s(3512)+4*s(3520)+1*s(3523)+1*s(3525)+1*s(3526)+1*s(3527)+1*s(3531)+10*s(3535)+18*s(3536)+3*s(3537)+14*s(3538)+6*s(3539)+7*s(3540)+16*s(3541)+11*s(3542)+4*s(3543)+2*s(3545)+54*s(3546)+7*s(3547)+2*s(3548)+8*s(3549)+2*s(3550)+0 Such that:s(3481) =< V1 s(3482) =< 2*V1 s(3483) =< 2*V1+1 s(3484) =< V1/2 s(3485) =< V1/3 s(3486) =< V1/4 s(3487) =< 2/3*V1 s(3488) =< 2/3*V1+1/3 s(3489) =< 2/5*V1+1/5 s(3490) =< 3/10*V1 s(3491) =< 3/13*V1 s(3492) =< 3/16*V1 s(3493) =< 4/5*V1 s(3494) =< 4/7*V1 s(3495) =< 4/9*V1 aux(297) =< 2 s(3550) =< aux(297) s(3496) =< s(3481) s(3497) =< s(3481) s(3498) =< s(3481) s(3499) =< s(3481) s(3500) =< s(3481) s(3501) =< s(3481) s(3502) =< s(3481) s(3503) =< s(3481) s(3504) =< s(3481) s(3505) =< s(3481) s(3506) =< s(3481) s(3489) =< s(3481) s(3488) =< s(3481) s(3489) =< s(3483) s(3488) =< s(3483) s(3507) =< s(3484) s(3508) =< s(3484) s(3509) =< s(3484) s(3497) =< s(3485) s(3508) =< s(3486) s(3510) =< s(3487) s(3498) =< s(3487) s(3499) =< s(3487) s(3501) =< s(3487) s(3502) =< s(3487) s(3504) =< s(3487) s(3505) =< s(3487) s(3489) =< s(3487) s(3509) =< s(3490) s(3511) =< s(3491) s(3512) =< s(3492) s(3503) =< s(3493) s(3504) =< s(3493) s(3505) =< s(3493) s(3489) =< s(3493) s(3502) =< s(3494) s(3504) =< s(3494) s(3499) =< s(3495) s(3513) =< s(3482)+3 s(3514) =< s(3482)+4 s(3515) =< s(3482)+5 s(3516) =< s(3482)+1 s(3517) =< s(3482)+2 s(3518) =< s(3482)-2 s(3510) =< s(3483)*(1/3)+s(3487) s(3498) =< s(3483)*(1/3)+s(3487) s(3499) =< s(3483)*(1/3)+s(3487) s(3500) =< s(3483)*(1/3)+s(3487) s(3501) =< s(3483)*(1/3)+s(3487) s(3502) =< s(3483)*(1/3)+s(3487) s(3503) =< s(3483)*(1/3)+s(3487) s(3504) =< s(3483)*(1/3)+s(3487) s(3506) =< s(3483)*(1/3)+s(3487) s(3489) =< s(3483)*(1/3)+s(3487) s(3505) =< s(3483)*(1/3)+s(3487) s(3502) =< s(3483)*(3/7)+s(3494) s(3503) =< s(3483)*(3/7)+s(3494) s(3504) =< s(3483)*(3/7)+s(3494) s(3505) =< s(3483)*(3/7)+s(3494) s(3506) =< s(3483)*(3/7)+s(3494) s(3503) =< s(3483)*(1/5)+s(3493) s(3504) =< s(3483)*(1/5)+s(3493) s(3505) =< s(3483)*(1/5)+s(3493) s(3506) =< s(3483)*(1/5)+s(3493) s(3489) =< s(3483)*(1/5)+s(3493) s(3499) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3500) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3501) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3502) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3503) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3504) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3505) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3506) =< s(3483)*(5/9)+s(3488)*(1/9)+s(3495) s(3497) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3498) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3499) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3500) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3501) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3502) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3503) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3504) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3505) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3506) =< s(3483)*(2/3)+s(3488)*(1/3)+s(3485) s(3509) =< s(3483)*(7/20)+s(3488)*(1/20)+s(3490) s(3496) =< s(3483)*(7/20)+s(3488)*(1/20)+s(3490) s(3508) =< s(3483)*(3/8)+s(3488)*(1/8)+s(3486) s(3509) =< s(3483)*(3/8)+s(3488)*(1/8)+s(3486) s(3496) =< s(3483)*(3/8)+s(3488)*(1/8)+s(3486) s(3507) =< s(3483)*(1/4)+s(3484) s(3508) =< s(3483)*(1/4)+s(3484) s(3509) =< s(3483)*(1/4)+s(3484) s(3496) =< s(3483)*(1/4)+s(3484) s(3511) =< s(3483)*(5/13)+s(3488)*(2/13)+s(3491) s(3507) =< s(3483)*(5/13)+s(3488)*(2/13)+s(3491) s(3508) =< s(3483)*(5/13)+s(3488)*(2/13)+s(3491) s(3509) =< s(3483)*(5/13)+s(3488)*(2/13)+s(3491) s(3496) =< s(3483)*(5/13)+s(3488)*(2/13)+s(3491) s(3519) =< s(3506)*s(3513) s(3520) =< s(3506)*s(3514) s(3521) =< s(3506)*s(3515) s(3522) =< s(3505)*s(3514) s(3523) =< s(3502)*s(3516) s(3524) =< s(3502)*s(3514) s(3525) =< s(3501)*s(3517) s(3526) =< s(3499)*s(3516) s(3527) =< s(3498)*s(3517) s(3528) =< s(3497)*s(3517) s(3512) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3511) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3507) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3508) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3509) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3496) =< s(3483)*(13/32)+s(3489)*(1/32)+s(3488)*(7/32)+s(3492) s(3529) =< s(3496)*s(3513) s(3530) =< s(3496)*s(3515) s(3531) =< s(3509)*s(3518) s(3532) =< s(3508)*s(3516) s(3533) =< s(3511)*s(3518) s(3534) =< s(3512)*s(3482) s(3535) =< s(3519) s(3536) =< s(3521) s(3520) =< s(3521) s(3537) =< s(3510) s(3538) =< s(3522) s(3539) =< s(3524) s(3540) =< s(3528) s(3541) =< s(3530) s(3542) =< s(3481) s(3543) =< s(3529) s(3543) =< s(3530) s(3544) =< s(3530) s(3544) =< s(3529) s(3545) =< s(3544) s(3546) =< s(3529) s(3547) =< s(3532) s(3548) =< s(3533) s(3549) =< s(3534) with precondition: [V=2,Out=0,V1>=0] * Chain [81]: 7*s(3567)+3*s(3568)+1*s(3569)+3*s(3570)+2*s(3571)+1*s(3572)+3*s(3573)+1*s(3574)+3*s(3575)+5*s(3576)+5*s(3577)+1*s(3578)+5*s(3579)+5*s(3580)+5*s(3582)+5*s(3583)+4*s(3591)+1*s(3594)+1*s(3596)+1*s(3597)+1*s(3598)+1*s(3602)+10*s(3606)+18*s(3607)+3*s(3608)+14*s(3609)+6*s(3610)+7*s(3611)+16*s(3612)+11*s(3613)+4*s(3614)+2*s(3616)+54*s(3617)+7*s(3618)+2*s(3619)+8*s(3620)+1*s(3621)+1 Such that:s(3621) =< 2 s(3552) =< V1 s(3553) =< 2*V1 s(3554) =< 2*V1+1 s(3555) =< V1/2 s(3556) =< V1/3 s(3557) =< V1/4 s(3558) =< 2/3*V1 s(3559) =< 2/3*V1+1/3 s(3560) =< 2/5*V1+1/5 s(3561) =< 3/10*V1 s(3562) =< 3/13*V1 s(3563) =< 3/16*V1 s(3564) =< 4/5*V1 s(3565) =< 4/7*V1 s(3566) =< 4/9*V1 s(3567) =< s(3552) s(3568) =< s(3552) s(3569) =< s(3552) s(3570) =< s(3552) s(3571) =< s(3552) s(3572) =< s(3552) s(3573) =< s(3552) s(3574) =< s(3552) s(3575) =< s(3552) s(3576) =< s(3552) s(3577) =< s(3552) s(3560) =< s(3552) s(3559) =< s(3552) s(3560) =< s(3554) s(3559) =< s(3554) s(3578) =< s(3555) s(3579) =< s(3555) s(3580) =< s(3555) s(3568) =< s(3556) s(3579) =< s(3557) s(3581) =< s(3558) s(3569) =< s(3558) s(3570) =< s(3558) s(3572) =< s(3558) s(3573) =< s(3558) s(3575) =< s(3558) s(3576) =< s(3558) s(3560) =< s(3558) s(3580) =< s(3561) s(3582) =< s(3562) s(3583) =< s(3563) s(3574) =< s(3564) s(3575) =< s(3564) s(3576) =< s(3564) s(3560) =< s(3564) s(3573) =< s(3565) s(3575) =< s(3565) s(3570) =< s(3566) s(3584) =< s(3553)+3 s(3585) =< s(3553)+4 s(3586) =< s(3553)+5 s(3587) =< s(3553)+1 s(3588) =< s(3553)+2 s(3589) =< s(3553)-2 s(3581) =< s(3554)*(1/3)+s(3558) s(3569) =< s(3554)*(1/3)+s(3558) s(3570) =< s(3554)*(1/3)+s(3558) s(3571) =< s(3554)*(1/3)+s(3558) s(3572) =< s(3554)*(1/3)+s(3558) s(3573) =< s(3554)*(1/3)+s(3558) s(3574) =< s(3554)*(1/3)+s(3558) s(3575) =< s(3554)*(1/3)+s(3558) s(3577) =< s(3554)*(1/3)+s(3558) s(3560) =< s(3554)*(1/3)+s(3558) s(3576) =< s(3554)*(1/3)+s(3558) s(3573) =< s(3554)*(3/7)+s(3565) s(3574) =< s(3554)*(3/7)+s(3565) s(3575) =< s(3554)*(3/7)+s(3565) s(3576) =< s(3554)*(3/7)+s(3565) s(3577) =< s(3554)*(3/7)+s(3565) s(3574) =< s(3554)*(1/5)+s(3564) s(3575) =< s(3554)*(1/5)+s(3564) s(3576) =< s(3554)*(1/5)+s(3564) s(3577) =< s(3554)*(1/5)+s(3564) s(3560) =< s(3554)*(1/5)+s(3564) s(3570) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3571) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3572) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3573) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3574) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3575) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3576) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3577) =< s(3554)*(5/9)+s(3559)*(1/9)+s(3566) s(3568) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3569) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3570) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3571) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3572) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3573) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3574) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3575) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3576) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3577) =< s(3554)*(2/3)+s(3559)*(1/3)+s(3556) s(3580) =< s(3554)*(7/20)+s(3559)*(1/20)+s(3561) s(3567) =< s(3554)*(7/20)+s(3559)*(1/20)+s(3561) s(3579) =< s(3554)*(3/8)+s(3559)*(1/8)+s(3557) s(3580) =< s(3554)*(3/8)+s(3559)*(1/8)+s(3557) s(3567) =< s(3554)*(3/8)+s(3559)*(1/8)+s(3557) s(3578) =< s(3554)*(1/4)+s(3555) s(3579) =< s(3554)*(1/4)+s(3555) s(3580) =< s(3554)*(1/4)+s(3555) s(3567) =< s(3554)*(1/4)+s(3555) s(3582) =< s(3554)*(5/13)+s(3559)*(2/13)+s(3562) s(3578) =< s(3554)*(5/13)+s(3559)*(2/13)+s(3562) s(3579) =< s(3554)*(5/13)+s(3559)*(2/13)+s(3562) s(3580) =< s(3554)*(5/13)+s(3559)*(2/13)+s(3562) s(3567) =< s(3554)*(5/13)+s(3559)*(2/13)+s(3562) s(3590) =< s(3577)*s(3584) s(3591) =< s(3577)*s(3585) s(3592) =< s(3577)*s(3586) s(3593) =< s(3576)*s(3585) s(3594) =< s(3573)*s(3587) s(3595) =< s(3573)*s(3585) s(3596) =< s(3572)*s(3588) s(3597) =< s(3570)*s(3587) s(3598) =< s(3569)*s(3588) s(3599) =< s(3568)*s(3588) s(3583) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3582) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3578) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3579) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3580) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3567) =< s(3554)*(13/32)+s(3560)*(1/32)+s(3559)*(7/32)+s(3563) s(3600) =< s(3567)*s(3584) s(3601) =< s(3567)*s(3586) s(3602) =< s(3580)*s(3589) s(3603) =< s(3579)*s(3587) s(3604) =< s(3582)*s(3589) s(3605) =< s(3583)*s(3553) s(3606) =< s(3590) s(3607) =< s(3592) s(3591) =< s(3592) s(3608) =< s(3581) s(3609) =< s(3593) s(3610) =< s(3595) s(3611) =< s(3599) s(3612) =< s(3601) s(3613) =< s(3552) s(3614) =< s(3600) s(3614) =< s(3601) s(3615) =< s(3601) s(3615) =< s(3600) s(3616) =< s(3615) s(3617) =< s(3600) s(3618) =< s(3603) s(3619) =< s(3604) s(3620) =< s(3605) with precondition: [V=2,Out>=0,2*V1>=Out+2] #### Cost of chains of fun7(V1,V,Out): * Chain [90]: 35*s(4066)+15*s(4067)+5*s(4068)+15*s(4069)+10*s(4070)+5*s(4071)+15*s(4072)+5*s(4073)+15*s(4074)+25*s(4075)+25*s(4076)+5*s(4077)+25*s(4078)+25*s(4079)+25*s(4081)+25*s(4082)+20*s(4090)+5*s(4093)+5*s(4095)+5*s(4096)+5*s(4097)+5*s(4101)+50*s(4105)+90*s(4106)+15*s(4107)+70*s(4108)+30*s(4109)+35*s(4110)+80*s(4111)+55*s(4112)+20*s(4113)+10*s(4115)+270*s(4116)+35*s(4117)+10*s(4118)+40*s(4119)+49*s(4135)+21*s(4136)+7*s(4137)+21*s(4138)+14*s(4139)+7*s(4140)+21*s(4141)+7*s(4142)+21*s(4143)+35*s(4144)+35*s(4145)+7*s(4146)+35*s(4147)+35*s(4148)+35*s(4150)+35*s(4151)+28*s(4159)+7*s(4162)+7*s(4164)+7*s(4165)+7*s(4166)+7*s(4170)+70*s(4174)+126*s(4175)+21*s(4176)+98*s(4177)+42*s(4178)+49*s(4179)+112*s(4180)+77*s(4181)+28*s(4182)+14*s(4184)+378*s(4185)+49*s(4186)+14*s(4187)+56*s(4188)+8*s(4190)+24*s(4193)+50*s(4194)+6*s(4476)+8*s(4695)+70*s(4699)+4*s(4846)+5 Such that:aux(342) =< 1 aux(343) =< 2 aux(344) =< 3 aux(345) =< V1 aux(346) =< 2*V1 aux(347) =< 2*V1+1 aux(348) =< V1/2 aux(349) =< V1/3 aux(350) =< V1/4 aux(351) =< 2/3*V1 aux(352) =< 2/3*V1+1/3 aux(353) =< 2/5*V1+1/5 aux(354) =< 3/10*V1 aux(355) =< 3/13*V1 aux(356) =< 3/16*V1 aux(357) =< 4/5*V1 aux(358) =< 4/7*V1 aux(359) =< 4/9*V1 aux(360) =< V aux(361) =< 2*V aux(362) =< 2*V+1 aux(363) =< V/2 aux(364) =< V/3 aux(365) =< V/4 aux(366) =< 2/3*V aux(367) =< 2/3*V+1/3 aux(368) =< 2/5*V+1/5 aux(369) =< 3/10*V aux(370) =< 3/13*V aux(371) =< 3/16*V aux(372) =< 4/5*V aux(373) =< 4/7*V aux(374) =< 4/9*V s(4846) =< aux(342) s(4695) =< aux(344) s(4058) =< aux(352) s(4059) =< aux(353) s(4127) =< aux(367) s(4128) =< aux(368) s(4476) =< aux(342) s(4194) =< aux(346) s(4135) =< aux(360) s(4136) =< aux(360) s(4137) =< aux(360) s(4138) =< aux(360) s(4139) =< aux(360) s(4140) =< aux(360) s(4141) =< aux(360) s(4142) =< aux(360) s(4143) =< aux(360) s(4144) =< aux(360) s(4145) =< aux(360) s(4128) =< aux(360) s(4127) =< aux(360) s(4128) =< aux(362) s(4127) =< aux(362) s(4146) =< aux(363) s(4147) =< aux(363) s(4148) =< aux(363) s(4136) =< aux(364) s(4147) =< aux(365) s(4149) =< aux(366) s(4137) =< aux(366) s(4138) =< aux(366) s(4140) =< aux(366) s(4141) =< aux(366) s(4143) =< aux(366) s(4144) =< aux(366) s(4128) =< aux(366) s(4148) =< aux(369) s(4150) =< aux(370) s(4151) =< aux(371) s(4142) =< aux(372) s(4143) =< aux(372) s(4144) =< aux(372) s(4128) =< aux(372) s(4141) =< aux(373) s(4143) =< aux(373) s(4138) =< aux(374) s(4152) =< aux(361)+3 s(4153) =< aux(361)+4 s(4154) =< aux(361)+5 s(4155) =< aux(361)+1 s(4156) =< aux(361)+2 s(4157) =< aux(361)-2 s(4149) =< aux(362)*(1/3)+aux(366) s(4137) =< aux(362)*(1/3)+aux(366) s(4138) =< aux(362)*(1/3)+aux(366) s(4139) =< aux(362)*(1/3)+aux(366) s(4140) =< aux(362)*(1/3)+aux(366) s(4141) =< aux(362)*(1/3)+aux(366) s(4142) =< aux(362)*(1/3)+aux(366) s(4143) =< aux(362)*(1/3)+aux(366) s(4145) =< aux(362)*(1/3)+aux(366) s(4128) =< aux(362)*(1/3)+aux(366) s(4144) =< aux(362)*(1/3)+aux(366) s(4141) =< aux(362)*(3/7)+aux(373) s(4142) =< aux(362)*(3/7)+aux(373) s(4143) =< aux(362)*(3/7)+aux(373) s(4144) =< aux(362)*(3/7)+aux(373) s(4145) =< aux(362)*(3/7)+aux(373) s(4142) =< aux(362)*(1/5)+aux(372) s(4143) =< aux(362)*(1/5)+aux(372) s(4144) =< aux(362)*(1/5)+aux(372) s(4145) =< aux(362)*(1/5)+aux(372) s(4128) =< aux(362)*(1/5)+aux(372) s(4138) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4139) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4140) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4141) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4142) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4143) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4144) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4145) =< aux(362)*(5/9)+s(4127)*(1/9)+aux(374) s(4136) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4137) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4138) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4139) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4140) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4141) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4142) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4143) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4144) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4145) =< aux(362)*(2/3)+s(4127)*(1/3)+aux(364) s(4148) =< aux(362)*(7/20)+s(4127)*(1/20)+aux(369) s(4135) =< aux(362)*(7/20)+s(4127)*(1/20)+aux(369) s(4147) =< aux(362)*(3/8)+s(4127)*(1/8)+aux(365) s(4148) =< aux(362)*(3/8)+s(4127)*(1/8)+aux(365) s(4135) =< aux(362)*(3/8)+s(4127)*(1/8)+aux(365) s(4146) =< aux(362)*(1/4)+aux(363) s(4147) =< aux(362)*(1/4)+aux(363) s(4148) =< aux(362)*(1/4)+aux(363) s(4135) =< aux(362)*(1/4)+aux(363) s(4150) =< aux(362)*(5/13)+s(4127)*(2/13)+aux(370) s(4146) =< aux(362)*(5/13)+s(4127)*(2/13)+aux(370) s(4147) =< aux(362)*(5/13)+s(4127)*(2/13)+aux(370) s(4148) =< aux(362)*(5/13)+s(4127)*(2/13)+aux(370) s(4135) =< aux(362)*(5/13)+s(4127)*(2/13)+aux(370) s(4158) =< s(4145)*s(4152) s(4159) =< s(4145)*s(4153) s(4160) =< s(4145)*s(4154) s(4161) =< s(4144)*s(4153) s(4162) =< s(4141)*s(4155) s(4163) =< s(4141)*s(4153) s(4164) =< s(4140)*s(4156) s(4165) =< s(4138)*s(4155) s(4166) =< s(4137)*s(4156) s(4167) =< s(4136)*s(4156) s(4151) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4150) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4146) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4147) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4148) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4135) =< aux(362)*(13/32)+s(4128)*(1/32)+s(4127)*(7/32)+aux(371) s(4168) =< s(4135)*s(4152) s(4169) =< s(4135)*s(4154) s(4170) =< s(4148)*s(4157) s(4171) =< s(4147)*s(4155) s(4172) =< s(4150)*s(4157) s(4173) =< s(4151)*aux(361) s(4174) =< s(4158) s(4175) =< s(4160) s(4159) =< s(4160) s(4176) =< s(4149) s(4177) =< s(4161) s(4178) =< s(4163) s(4179) =< s(4167) s(4180) =< s(4169) s(4181) =< aux(360) s(4182) =< s(4168) s(4182) =< s(4169) s(4183) =< s(4169) s(4183) =< s(4168) s(4184) =< s(4183) s(4185) =< s(4168) s(4186) =< s(4171) s(4187) =< s(4172) s(4188) =< s(4173) s(4066) =< aux(345) s(4067) =< aux(345) s(4068) =< aux(345) s(4069) =< aux(345) s(4070) =< aux(345) s(4071) =< aux(345) s(4072) =< aux(345) s(4073) =< aux(345) s(4074) =< aux(345) s(4075) =< aux(345) s(4076) =< aux(345) s(4059) =< aux(345) s(4058) =< aux(345) s(4059) =< aux(347) s(4058) =< aux(347) s(4077) =< aux(348) s(4078) =< aux(348) s(4079) =< aux(348) s(4067) =< aux(349) s(4078) =< aux(350) s(4080) =< aux(351) s(4068) =< aux(351) s(4069) =< aux(351) s(4071) =< aux(351) s(4072) =< aux(351) s(4074) =< aux(351) s(4075) =< aux(351) s(4059) =< aux(351) s(4079) =< aux(354) s(4081) =< aux(355) s(4082) =< aux(356) s(4073) =< aux(357) s(4074) =< aux(357) s(4075) =< aux(357) s(4059) =< aux(357) s(4072) =< aux(358) s(4074) =< aux(358) s(4069) =< aux(359) s(4083) =< aux(346)+3 s(4084) =< aux(346)+4 s(4085) =< aux(346)+5 s(4086) =< aux(346)+1 s(4087) =< aux(346)+2 s(4088) =< aux(346)-2 s(4080) =< aux(347)*(1/3)+aux(351) s(4068) =< aux(347)*(1/3)+aux(351) s(4069) =< aux(347)*(1/3)+aux(351) s(4070) =< aux(347)*(1/3)+aux(351) s(4071) =< aux(347)*(1/3)+aux(351) s(4072) =< aux(347)*(1/3)+aux(351) s(4073) =< aux(347)*(1/3)+aux(351) s(4074) =< aux(347)*(1/3)+aux(351) s(4076) =< aux(347)*(1/3)+aux(351) s(4059) =< aux(347)*(1/3)+aux(351) s(4075) =< aux(347)*(1/3)+aux(351) s(4072) =< aux(347)*(3/7)+aux(358) s(4073) =< aux(347)*(3/7)+aux(358) s(4074) =< aux(347)*(3/7)+aux(358) s(4075) =< aux(347)*(3/7)+aux(358) s(4076) =< aux(347)*(3/7)+aux(358) s(4073) =< aux(347)*(1/5)+aux(357) s(4074) =< aux(347)*(1/5)+aux(357) s(4075) =< aux(347)*(1/5)+aux(357) s(4076) =< aux(347)*(1/5)+aux(357) s(4059) =< aux(347)*(1/5)+aux(357) s(4069) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4070) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4071) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4072) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4073) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4074) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4075) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4076) =< aux(347)*(5/9)+s(4058)*(1/9)+aux(359) s(4067) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4068) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4069) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4070) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4071) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4072) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4073) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4074) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4075) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4076) =< aux(347)*(2/3)+s(4058)*(1/3)+aux(349) s(4079) =< aux(347)*(7/20)+s(4058)*(1/20)+aux(354) s(4066) =< aux(347)*(7/20)+s(4058)*(1/20)+aux(354) s(4078) =< aux(347)*(3/8)+s(4058)*(1/8)+aux(350) s(4079) =< aux(347)*(3/8)+s(4058)*(1/8)+aux(350) s(4066) =< aux(347)*(3/8)+s(4058)*(1/8)+aux(350) s(4077) =< aux(347)*(1/4)+aux(348) s(4078) =< aux(347)*(1/4)+aux(348) s(4079) =< aux(347)*(1/4)+aux(348) s(4066) =< aux(347)*(1/4)+aux(348) s(4081) =< aux(347)*(5/13)+s(4058)*(2/13)+aux(355) s(4077) =< aux(347)*(5/13)+s(4058)*(2/13)+aux(355) s(4078) =< aux(347)*(5/13)+s(4058)*(2/13)+aux(355) s(4079) =< aux(347)*(5/13)+s(4058)*(2/13)+aux(355) s(4066) =< aux(347)*(5/13)+s(4058)*(2/13)+aux(355) s(4089) =< s(4076)*s(4083) s(4090) =< s(4076)*s(4084) s(4091) =< s(4076)*s(4085) s(4092) =< s(4075)*s(4084) s(4093) =< s(4072)*s(4086) s(4094) =< s(4072)*s(4084) s(4095) =< s(4071)*s(4087) s(4096) =< s(4069)*s(4086) s(4097) =< s(4068)*s(4087) s(4098) =< s(4067)*s(4087) s(4082) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4081) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4077) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4078) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4079) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4066) =< aux(347)*(13/32)+s(4059)*(1/32)+s(4058)*(7/32)+aux(356) s(4099) =< s(4066)*s(4083) s(4100) =< s(4066)*s(4085) s(4101) =< s(4079)*s(4088) s(4102) =< s(4078)*s(4086) s(4103) =< s(4081)*s(4088) s(4104) =< s(4082)*aux(346) s(4105) =< s(4089) s(4106) =< s(4091) s(4090) =< s(4091) s(4107) =< s(4080) s(4108) =< s(4092) s(4109) =< s(4094) s(4110) =< s(4098) s(4111) =< s(4100) s(4112) =< aux(345) s(4113) =< s(4099) s(4113) =< s(4100) s(4114) =< s(4100) s(4114) =< s(4099) s(4115) =< s(4114) s(4116) =< s(4099) s(4117) =< s(4102) s(4118) =< s(4103) s(4119) =< s(4104) s(4699) =< aux(343) s(4846) =< aux(343) s(4193) =< aux(361) s(4695) =< aux(343) s(4190) =< aux(347) s(4190) =< aux(346) with precondition: [Out=0,V1>=0,V>=0] * Chain [89]: 7*s(4965)+3*s(4966)+1*s(4967)+3*s(4968)+2*s(4969)+1*s(4970)+3*s(4971)+1*s(4972)+3*s(4973)+5*s(4974)+5*s(4975)+1*s(4976)+5*s(4977)+5*s(4978)+5*s(4980)+5*s(4981)+4*s(4989)+1*s(4992)+1*s(4994)+1*s(4995)+1*s(4996)+1*s(5000)+10*s(5004)+18*s(5005)+3*s(5006)+14*s(5007)+6*s(5008)+7*s(5009)+16*s(5010)+11*s(5011)+4*s(5012)+2*s(5014)+54*s(5015)+7*s(5016)+2*s(5017)+8*s(5018)+14*s(5034)+6*s(5035)+2*s(5036)+6*s(5037)+4*s(5038)+2*s(5039)+6*s(5040)+2*s(5041)+6*s(5042)+10*s(5043)+10*s(5044)+2*s(5045)+10*s(5046)+10*s(5047)+10*s(5049)+10*s(5050)+8*s(5058)+2*s(5061)+2*s(5063)+2*s(5064)+2*s(5065)+2*s(5069)+20*s(5073)+36*s(5074)+6*s(5075)+28*s(5076)+12*s(5077)+14*s(5078)+32*s(5079)+22*s(5080)+8*s(5081)+4*s(5083)+108*s(5084)+14*s(5085)+4*s(5086)+16*s(5087)+1*s(5088)+1*s(5158)+3 Such that:s(5158) =< 2 s(4950) =< V1 s(4951) =< 2*V1 s(4952) =< 2*V1+1 s(4953) =< V1/2 s(4954) =< V1/3 s(4955) =< V1/4 s(4956) =< 2/3*V1 s(4957) =< 2/3*V1+1/3 s(4958) =< 2/5*V1+1/5 s(4959) =< 3/10*V1 s(4960) =< 3/13*V1 s(4961) =< 3/16*V1 s(4962) =< 4/5*V1 s(4963) =< 4/7*V1 s(4964) =< 4/9*V1 aux(376) =< V aux(377) =< 2*V aux(378) =< 2*V+1 aux(379) =< V/2 aux(380) =< V/3 aux(381) =< V/4 aux(382) =< 2/3*V aux(383) =< 2/3*V+1/3 aux(384) =< 2/5*V+1/5 aux(385) =< 3/10*V aux(386) =< 3/13*V aux(387) =< 3/16*V aux(388) =< 4/5*V aux(389) =< 4/7*V aux(390) =< 4/9*V s(5026) =< aux(383) s(5027) =< aux(384) s(5034) =< aux(376) s(5035) =< aux(376) s(5036) =< aux(376) s(5037) =< aux(376) s(5038) =< aux(376) s(5039) =< aux(376) s(5040) =< aux(376) s(5041) =< aux(376) s(5042) =< aux(376) s(5043) =< aux(376) s(5044) =< aux(376) s(5027) =< aux(376) s(5026) =< aux(376) s(5027) =< aux(378) s(5026) =< aux(378) s(5045) =< aux(379) s(5046) =< aux(379) s(5047) =< aux(379) s(5035) =< aux(380) s(5046) =< aux(381) s(5048) =< aux(382) s(5036) =< aux(382) s(5037) =< aux(382) s(5039) =< aux(382) s(5040) =< aux(382) s(5042) =< aux(382) s(5043) =< aux(382) s(5027) =< aux(382) s(5047) =< aux(385) s(5049) =< aux(386) s(5050) =< aux(387) s(5041) =< aux(388) s(5042) =< aux(388) s(5043) =< aux(388) s(5027) =< aux(388) s(5040) =< aux(389) s(5042) =< aux(389) s(5037) =< aux(390) s(5051) =< aux(377)+3 s(5052) =< aux(377)+4 s(5053) =< aux(377)+5 s(5054) =< aux(377)+1 s(5055) =< aux(377)+2 s(5056) =< aux(377)-2 s(5048) =< aux(378)*(1/3)+aux(382) s(5036) =< aux(378)*(1/3)+aux(382) s(5037) =< aux(378)*(1/3)+aux(382) s(5038) =< aux(378)*(1/3)+aux(382) s(5039) =< aux(378)*(1/3)+aux(382) s(5040) =< aux(378)*(1/3)+aux(382) s(5041) =< aux(378)*(1/3)+aux(382) s(5042) =< aux(378)*(1/3)+aux(382) s(5044) =< aux(378)*(1/3)+aux(382) s(5027) =< aux(378)*(1/3)+aux(382) s(5043) =< aux(378)*(1/3)+aux(382) s(5040) =< aux(378)*(3/7)+aux(389) s(5041) =< aux(378)*(3/7)+aux(389) s(5042) =< aux(378)*(3/7)+aux(389) s(5043) =< aux(378)*(3/7)+aux(389) s(5044) =< aux(378)*(3/7)+aux(389) s(5041) =< aux(378)*(1/5)+aux(388) s(5042) =< aux(378)*(1/5)+aux(388) s(5043) =< aux(378)*(1/5)+aux(388) s(5044) =< aux(378)*(1/5)+aux(388) s(5027) =< aux(378)*(1/5)+aux(388) s(5037) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5038) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5039) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5040) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5041) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5042) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5043) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5044) =< aux(378)*(5/9)+s(5026)*(1/9)+aux(390) s(5035) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5036) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5037) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5038) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5039) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5040) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5041) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5042) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5043) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5044) =< aux(378)*(2/3)+s(5026)*(1/3)+aux(380) s(5047) =< aux(378)*(7/20)+s(5026)*(1/20)+aux(385) s(5034) =< aux(378)*(7/20)+s(5026)*(1/20)+aux(385) s(5046) =< aux(378)*(3/8)+s(5026)*(1/8)+aux(381) s(5047) =< aux(378)*(3/8)+s(5026)*(1/8)+aux(381) s(5034) =< aux(378)*(3/8)+s(5026)*(1/8)+aux(381) s(5045) =< aux(378)*(1/4)+aux(379) s(5046) =< aux(378)*(1/4)+aux(379) s(5047) =< aux(378)*(1/4)+aux(379) s(5034) =< aux(378)*(1/4)+aux(379) s(5049) =< aux(378)*(5/13)+s(5026)*(2/13)+aux(386) s(5045) =< aux(378)*(5/13)+s(5026)*(2/13)+aux(386) s(5046) =< aux(378)*(5/13)+s(5026)*(2/13)+aux(386) s(5047) =< aux(378)*(5/13)+s(5026)*(2/13)+aux(386) s(5034) =< aux(378)*(5/13)+s(5026)*(2/13)+aux(386) s(5057) =< s(5044)*s(5051) s(5058) =< s(5044)*s(5052) s(5059) =< s(5044)*s(5053) s(5060) =< s(5043)*s(5052) s(5061) =< s(5040)*s(5054) s(5062) =< s(5040)*s(5052) s(5063) =< s(5039)*s(5055) s(5064) =< s(5037)*s(5054) s(5065) =< s(5036)*s(5055) s(5066) =< s(5035)*s(5055) s(5050) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5049) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5045) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5046) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5047) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5034) =< aux(378)*(13/32)+s(5027)*(1/32)+s(5026)*(7/32)+aux(387) s(5067) =< s(5034)*s(5051) s(5068) =< s(5034)*s(5053) s(5069) =< s(5047)*s(5056) s(5070) =< s(5046)*s(5054) s(5071) =< s(5049)*s(5056) s(5072) =< s(5050)*aux(377) s(5073) =< s(5057) s(5074) =< s(5059) s(5058) =< s(5059) s(5075) =< s(5048) s(5076) =< s(5060) s(5077) =< s(5062) s(5078) =< s(5066) s(5079) =< s(5068) s(5080) =< aux(376) s(5081) =< s(5067) s(5081) =< s(5068) s(5082) =< s(5068) s(5082) =< s(5067) s(5083) =< s(5082) s(5084) =< s(5067) s(5085) =< s(5070) s(5086) =< s(5071) s(5087) =< s(5072) s(5088) =< aux(377) s(4965) =< s(4950) s(4966) =< s(4950) s(4967) =< s(4950) s(4968) =< s(4950) s(4969) =< s(4950) s(4970) =< s(4950) s(4971) =< s(4950) s(4972) =< s(4950) s(4973) =< s(4950) s(4974) =< s(4950) s(4975) =< s(4950) s(4958) =< s(4950) s(4957) =< s(4950) s(4958) =< s(4952) s(4957) =< s(4952) s(4976) =< s(4953) s(4977) =< s(4953) s(4978) =< s(4953) s(4966) =< s(4954) s(4977) =< s(4955) s(4979) =< s(4956) s(4967) =< s(4956) s(4968) =< s(4956) s(4970) =< s(4956) s(4971) =< s(4956) s(4973) =< s(4956) s(4974) =< s(4956) s(4958) =< s(4956) s(4978) =< s(4959) s(4980) =< s(4960) s(4981) =< s(4961) s(4972) =< s(4962) s(4973) =< s(4962) s(4974) =< s(4962) s(4958) =< s(4962) s(4971) =< s(4963) s(4973) =< s(4963) s(4968) =< s(4964) s(4982) =< s(4951)+3 s(4983) =< s(4951)+4 s(4984) =< s(4951)+5 s(4985) =< s(4951)+1 s(4986) =< s(4951)+2 s(4987) =< s(4951)-2 s(4979) =< s(4952)*(1/3)+s(4956) s(4967) =< s(4952)*(1/3)+s(4956) s(4968) =< s(4952)*(1/3)+s(4956) s(4969) =< s(4952)*(1/3)+s(4956) s(4970) =< s(4952)*(1/3)+s(4956) s(4971) =< s(4952)*(1/3)+s(4956) s(4972) =< s(4952)*(1/3)+s(4956) s(4973) =< s(4952)*(1/3)+s(4956) s(4975) =< s(4952)*(1/3)+s(4956) s(4958) =< s(4952)*(1/3)+s(4956) s(4974) =< s(4952)*(1/3)+s(4956) s(4971) =< s(4952)*(3/7)+s(4963) s(4972) =< s(4952)*(3/7)+s(4963) s(4973) =< s(4952)*(3/7)+s(4963) s(4974) =< s(4952)*(3/7)+s(4963) s(4975) =< s(4952)*(3/7)+s(4963) s(4972) =< s(4952)*(1/5)+s(4962) s(4973) =< s(4952)*(1/5)+s(4962) s(4974) =< s(4952)*(1/5)+s(4962) s(4975) =< s(4952)*(1/5)+s(4962) s(4958) =< s(4952)*(1/5)+s(4962) s(4968) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4969) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4970) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4971) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4972) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4973) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4974) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4975) =< s(4952)*(5/9)+s(4957)*(1/9)+s(4964) s(4966) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4967) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4968) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4969) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4970) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4971) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4972) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4973) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4974) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4975) =< s(4952)*(2/3)+s(4957)*(1/3)+s(4954) s(4978) =< s(4952)*(7/20)+s(4957)*(1/20)+s(4959) s(4965) =< s(4952)*(7/20)+s(4957)*(1/20)+s(4959) s(4977) =< s(4952)*(3/8)+s(4957)*(1/8)+s(4955) s(4978) =< s(4952)*(3/8)+s(4957)*(1/8)+s(4955) s(4965) =< s(4952)*(3/8)+s(4957)*(1/8)+s(4955) s(4976) =< s(4952)*(1/4)+s(4953) s(4977) =< s(4952)*(1/4)+s(4953) s(4978) =< s(4952)*(1/4)+s(4953) s(4965) =< s(4952)*(1/4)+s(4953) s(4980) =< s(4952)*(5/13)+s(4957)*(2/13)+s(4960) s(4976) =< s(4952)*(5/13)+s(4957)*(2/13)+s(4960) s(4977) =< s(4952)*(5/13)+s(4957)*(2/13)+s(4960) s(4978) =< s(4952)*(5/13)+s(4957)*(2/13)+s(4960) s(4965) =< s(4952)*(5/13)+s(4957)*(2/13)+s(4960) s(4988) =< s(4975)*s(4982) s(4989) =< s(4975)*s(4983) s(4990) =< s(4975)*s(4984) s(4991) =< s(4974)*s(4983) s(4992) =< s(4971)*s(4985) s(4993) =< s(4971)*s(4983) s(4994) =< s(4970)*s(4986) s(4995) =< s(4968)*s(4985) s(4996) =< s(4967)*s(4986) s(4997) =< s(4966)*s(4986) s(4981) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4980) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4976) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4977) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4978) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4965) =< s(4952)*(13/32)+s(4958)*(1/32)+s(4957)*(7/32)+s(4961) s(4998) =< s(4965)*s(4982) s(4999) =< s(4965)*s(4984) s(5000) =< s(4978)*s(4987) s(5001) =< s(4977)*s(4985) s(5002) =< s(4980)*s(4987) s(5003) =< s(4981)*s(4951) s(5004) =< s(4988) s(5005) =< s(4990) s(4989) =< s(4990) s(5006) =< s(4979) s(5007) =< s(4991) s(5008) =< s(4993) s(5009) =< s(4997) s(5010) =< s(4999) s(5011) =< s(4950) s(5012) =< s(4998) s(5012) =< s(4999) s(5013) =< s(4999) s(5013) =< s(4998) s(5014) =< s(5013) s(5015) =< s(4998) s(5016) =< s(5001) s(5017) =< s(5002) s(5018) =< s(5003) with precondition: [Out>=2,2*V1>=Out,2*V>=Out+1] * Chain [88]: 7*s(5174)+3*s(5175)+1*s(5176)+3*s(5177)+2*s(5178)+1*s(5179)+3*s(5180)+1*s(5181)+3*s(5182)+5*s(5183)+5*s(5184)+1*s(5185)+5*s(5186)+5*s(5187)+5*s(5189)+5*s(5190)+4*s(5198)+1*s(5201)+1*s(5203)+1*s(5204)+1*s(5205)+1*s(5209)+10*s(5213)+18*s(5214)+3*s(5215)+14*s(5216)+6*s(5217)+7*s(5218)+16*s(5219)+11*s(5220)+4*s(5221)+2*s(5223)+54*s(5224)+7*s(5225)+2*s(5226)+8*s(5227)+22*s(5229)+16*s(5232)+5 Such that:s(5159) =< V1 aux(391) =< 2*V1 s(5161) =< 2*V1+1 s(5162) =< V1/2 s(5163) =< V1/3 s(5164) =< V1/4 s(5165) =< 2/3*V1 s(5166) =< 2/3*V1+1/3 s(5167) =< 2/5*V1+1/5 s(5168) =< 3/10*V1 s(5169) =< 3/13*V1 s(5170) =< 3/16*V1 s(5171) =< 4/5*V1 s(5172) =< 4/7*V1 s(5173) =< 4/9*V1 aux(393) =< 2 s(5229) =< aux(391) s(5232) =< aux(393) s(5174) =< s(5159) s(5175) =< s(5159) s(5176) =< s(5159) s(5177) =< s(5159) s(5178) =< s(5159) s(5179) =< s(5159) s(5180) =< s(5159) s(5181) =< s(5159) s(5182) =< s(5159) s(5183) =< s(5159) s(5184) =< s(5159) s(5167) =< s(5159) s(5166) =< s(5159) s(5167) =< s(5161) s(5166) =< s(5161) s(5185) =< s(5162) s(5186) =< s(5162) s(5187) =< s(5162) s(5175) =< s(5163) s(5186) =< s(5164) s(5188) =< s(5165) s(5176) =< s(5165) s(5177) =< s(5165) s(5179) =< s(5165) s(5180) =< s(5165) s(5182) =< s(5165) s(5183) =< s(5165) s(5167) =< s(5165) s(5187) =< s(5168) s(5189) =< s(5169) s(5190) =< s(5170) s(5181) =< s(5171) s(5182) =< s(5171) s(5183) =< s(5171) s(5167) =< s(5171) s(5180) =< s(5172) s(5182) =< s(5172) s(5177) =< s(5173) s(5191) =< aux(391)+3 s(5192) =< aux(391)+4 s(5193) =< aux(391)+5 s(5194) =< aux(391)+1 s(5195) =< aux(391)+2 s(5196) =< aux(391)-2 s(5188) =< s(5161)*(1/3)+s(5165) s(5176) =< s(5161)*(1/3)+s(5165) s(5177) =< s(5161)*(1/3)+s(5165) s(5178) =< s(5161)*(1/3)+s(5165) s(5179) =< s(5161)*(1/3)+s(5165) s(5180) =< s(5161)*(1/3)+s(5165) s(5181) =< s(5161)*(1/3)+s(5165) s(5182) =< s(5161)*(1/3)+s(5165) s(5184) =< s(5161)*(1/3)+s(5165) s(5167) =< s(5161)*(1/3)+s(5165) s(5183) =< s(5161)*(1/3)+s(5165) s(5180) =< s(5161)*(3/7)+s(5172) s(5181) =< s(5161)*(3/7)+s(5172) s(5182) =< s(5161)*(3/7)+s(5172) s(5183) =< s(5161)*(3/7)+s(5172) s(5184) =< s(5161)*(3/7)+s(5172) s(5181) =< s(5161)*(1/5)+s(5171) s(5182) =< s(5161)*(1/5)+s(5171) s(5183) =< s(5161)*(1/5)+s(5171) s(5184) =< s(5161)*(1/5)+s(5171) s(5167) =< s(5161)*(1/5)+s(5171) s(5177) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5178) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5179) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5180) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5181) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5182) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5183) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5184) =< s(5161)*(5/9)+s(5166)*(1/9)+s(5173) s(5175) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5176) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5177) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5178) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5179) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5180) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5181) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5182) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5183) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5184) =< s(5161)*(2/3)+s(5166)*(1/3)+s(5163) s(5187) =< s(5161)*(7/20)+s(5166)*(1/20)+s(5168) s(5174) =< s(5161)*(7/20)+s(5166)*(1/20)+s(5168) s(5186) =< s(5161)*(3/8)+s(5166)*(1/8)+s(5164) s(5187) =< s(5161)*(3/8)+s(5166)*(1/8)+s(5164) s(5174) =< s(5161)*(3/8)+s(5166)*(1/8)+s(5164) s(5185) =< s(5161)*(1/4)+s(5162) s(5186) =< s(5161)*(1/4)+s(5162) s(5187) =< s(5161)*(1/4)+s(5162) s(5174) =< s(5161)*(1/4)+s(5162) s(5189) =< s(5161)*(5/13)+s(5166)*(2/13)+s(5169) s(5185) =< s(5161)*(5/13)+s(5166)*(2/13)+s(5169) s(5186) =< s(5161)*(5/13)+s(5166)*(2/13)+s(5169) s(5187) =< s(5161)*(5/13)+s(5166)*(2/13)+s(5169) s(5174) =< s(5161)*(5/13)+s(5166)*(2/13)+s(5169) s(5197) =< s(5184)*s(5191) s(5198) =< s(5184)*s(5192) s(5199) =< s(5184)*s(5193) s(5200) =< s(5183)*s(5192) s(5201) =< s(5180)*s(5194) s(5202) =< s(5180)*s(5192) s(5203) =< s(5179)*s(5195) s(5204) =< s(5177)*s(5194) s(5205) =< s(5176)*s(5195) s(5206) =< s(5175)*s(5195) s(5190) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5189) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5185) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5186) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5187) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5174) =< s(5161)*(13/32)+s(5167)*(1/32)+s(5166)*(7/32)+s(5170) s(5207) =< s(5174)*s(5191) s(5208) =< s(5174)*s(5193) s(5209) =< s(5187)*s(5196) s(5210) =< s(5186)*s(5194) s(5211) =< s(5189)*s(5196) s(5212) =< s(5190)*aux(391) s(5213) =< s(5197) s(5214) =< s(5199) s(5198) =< s(5199) s(5215) =< s(5188) s(5216) =< s(5200) s(5217) =< s(5202) s(5218) =< s(5206) s(5219) =< s(5208) s(5220) =< s(5159) s(5221) =< s(5207) s(5221) =< s(5208) s(5222) =< s(5208) s(5222) =< s(5207) s(5223) =< s(5222) s(5224) =< s(5207) s(5225) =< s(5210) s(5226) =< s(5211) s(5227) =< s(5212) with precondition: [V=2,Out=0,V1>=0] * Chain [87]: 28*s(5261)+12*s(5262)+4*s(5263)+12*s(5264)+8*s(5265)+4*s(5266)+12*s(5267)+4*s(5268)+12*s(5269)+20*s(5270)+20*s(5271)+4*s(5272)+20*s(5273)+20*s(5274)+20*s(5276)+20*s(5277)+16*s(5285)+4*s(5288)+4*s(5290)+4*s(5291)+4*s(5292)+4*s(5296)+40*s(5300)+72*s(5301)+12*s(5302)+56*s(5303)+24*s(5304)+28*s(5305)+64*s(5306)+44*s(5307)+16*s(5308)+8*s(5310)+216*s(5311)+28*s(5312)+8*s(5313)+32*s(5314)+14*s(5330)+6*s(5331)+2*s(5332)+6*s(5333)+4*s(5334)+2*s(5335)+6*s(5336)+2*s(5337)+6*s(5338)+10*s(5339)+10*s(5340)+2*s(5341)+10*s(5342)+10*s(5343)+10*s(5345)+10*s(5346)+8*s(5354)+2*s(5357)+2*s(5359)+2*s(5360)+2*s(5361)+2*s(5365)+20*s(5369)+36*s(5370)+6*s(5371)+28*s(5372)+12*s(5373)+14*s(5374)+32*s(5375)+22*s(5376)+8*s(5377)+4*s(5379)+108*s(5380)+14*s(5381)+4*s(5382)+16*s(5383)+12*s(5522)+3 Such that:aux(396) =< V1 aux(397) =< 2*V1 aux(398) =< 2*V1+1 aux(399) =< V1/2 aux(400) =< V1/3 aux(401) =< V1/4 aux(402) =< 2/3*V1 aux(403) =< 2/3*V1+1/3 aux(404) =< 2/5*V1+1/5 aux(405) =< 3/10*V1 aux(406) =< 3/13*V1 aux(407) =< 3/16*V1 aux(408) =< 4/5*V1 aux(409) =< 4/7*V1 aux(410) =< 4/9*V1 aux(411) =< V aux(412) =< 2*V aux(413) =< 2*V+1 aux(414) =< V/2 aux(415) =< V/3 aux(416) =< V/4 aux(417) =< 2/3*V aux(418) =< 2/3*V+1/3 aux(419) =< 2/5*V+1/5 aux(420) =< 3/10*V aux(421) =< 3/13*V aux(422) =< 3/16*V aux(423) =< 4/5*V aux(424) =< 4/7*V aux(425) =< 4/9*V s(5253) =< aux(403) s(5254) =< aux(404) s(5322) =< aux(418) s(5323) =< aux(419) s(5330) =< aux(411) s(5331) =< aux(411) s(5332) =< aux(411) s(5333) =< aux(411) s(5334) =< aux(411) s(5335) =< aux(411) s(5336) =< aux(411) s(5337) =< aux(411) s(5338) =< aux(411) s(5339) =< aux(411) s(5340) =< aux(411) s(5323) =< aux(411) s(5322) =< aux(411) s(5323) =< aux(413) s(5322) =< aux(413) s(5341) =< aux(414) s(5342) =< aux(414) s(5343) =< aux(414) s(5331) =< aux(415) s(5342) =< aux(416) s(5344) =< aux(417) s(5332) =< aux(417) s(5333) =< aux(417) s(5335) =< aux(417) s(5336) =< aux(417) s(5338) =< aux(417) s(5339) =< aux(417) s(5323) =< aux(417) s(5343) =< aux(420) s(5345) =< aux(421) s(5346) =< aux(422) s(5337) =< aux(423) s(5338) =< aux(423) s(5339) =< aux(423) s(5323) =< aux(423) s(5336) =< aux(424) s(5338) =< aux(424) s(5333) =< aux(425) s(5347) =< aux(412)+3 s(5348) =< aux(412)+4 s(5349) =< aux(412)+5 s(5350) =< aux(412)+1 s(5351) =< aux(412)+2 s(5352) =< aux(412)-2 s(5344) =< aux(413)*(1/3)+aux(417) s(5332) =< aux(413)*(1/3)+aux(417) s(5333) =< aux(413)*(1/3)+aux(417) s(5334) =< aux(413)*(1/3)+aux(417) s(5335) =< aux(413)*(1/3)+aux(417) s(5336) =< aux(413)*(1/3)+aux(417) s(5337) =< aux(413)*(1/3)+aux(417) s(5338) =< aux(413)*(1/3)+aux(417) s(5340) =< aux(413)*(1/3)+aux(417) s(5323) =< aux(413)*(1/3)+aux(417) s(5339) =< aux(413)*(1/3)+aux(417) s(5336) =< aux(413)*(3/7)+aux(424) s(5337) =< aux(413)*(3/7)+aux(424) s(5338) =< aux(413)*(3/7)+aux(424) s(5339) =< aux(413)*(3/7)+aux(424) s(5340) =< aux(413)*(3/7)+aux(424) s(5337) =< aux(413)*(1/5)+aux(423) s(5338) =< aux(413)*(1/5)+aux(423) s(5339) =< aux(413)*(1/5)+aux(423) s(5340) =< aux(413)*(1/5)+aux(423) s(5323) =< aux(413)*(1/5)+aux(423) s(5333) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5334) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5335) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5336) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5337) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5338) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5339) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5340) =< aux(413)*(5/9)+s(5322)*(1/9)+aux(425) s(5331) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5332) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5333) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5334) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5335) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5336) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5337) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5338) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5339) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5340) =< aux(413)*(2/3)+s(5322)*(1/3)+aux(415) s(5343) =< aux(413)*(7/20)+s(5322)*(1/20)+aux(420) s(5330) =< aux(413)*(7/20)+s(5322)*(1/20)+aux(420) s(5342) =< aux(413)*(3/8)+s(5322)*(1/8)+aux(416) s(5343) =< aux(413)*(3/8)+s(5322)*(1/8)+aux(416) s(5330) =< aux(413)*(3/8)+s(5322)*(1/8)+aux(416) s(5341) =< aux(413)*(1/4)+aux(414) s(5342) =< aux(413)*(1/4)+aux(414) s(5343) =< aux(413)*(1/4)+aux(414) s(5330) =< aux(413)*(1/4)+aux(414) s(5345) =< aux(413)*(5/13)+s(5322)*(2/13)+aux(421) s(5341) =< aux(413)*(5/13)+s(5322)*(2/13)+aux(421) s(5342) =< aux(413)*(5/13)+s(5322)*(2/13)+aux(421) s(5343) =< aux(413)*(5/13)+s(5322)*(2/13)+aux(421) s(5330) =< aux(413)*(5/13)+s(5322)*(2/13)+aux(421) s(5353) =< s(5340)*s(5347) s(5354) =< s(5340)*s(5348) s(5355) =< s(5340)*s(5349) s(5356) =< s(5339)*s(5348) s(5357) =< s(5336)*s(5350) s(5358) =< s(5336)*s(5348) s(5359) =< s(5335)*s(5351) s(5360) =< s(5333)*s(5350) s(5361) =< s(5332)*s(5351) s(5362) =< s(5331)*s(5351) s(5346) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5345) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5341) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5342) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5343) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5330) =< aux(413)*(13/32)+s(5323)*(1/32)+s(5322)*(7/32)+aux(422) s(5363) =< s(5330)*s(5347) s(5364) =< s(5330)*s(5349) s(5365) =< s(5343)*s(5352) s(5366) =< s(5342)*s(5350) s(5367) =< s(5345)*s(5352) s(5368) =< s(5346)*aux(412) s(5369) =< s(5353) s(5370) =< s(5355) s(5354) =< s(5355) s(5371) =< s(5344) s(5372) =< s(5356) s(5373) =< s(5358) s(5374) =< s(5362) s(5375) =< s(5364) s(5376) =< aux(411) s(5377) =< s(5363) s(5377) =< s(5364) s(5378) =< s(5364) s(5378) =< s(5363) s(5379) =< s(5378) s(5380) =< s(5363) s(5381) =< s(5366) s(5382) =< s(5367) s(5383) =< s(5368) s(5261) =< aux(396) s(5262) =< aux(396) s(5263) =< aux(396) s(5264) =< aux(396) s(5265) =< aux(396) s(5266) =< aux(396) s(5267) =< aux(396) s(5268) =< aux(396) s(5269) =< aux(396) s(5270) =< aux(396) s(5271) =< aux(396) s(5254) =< aux(396) s(5253) =< aux(396) s(5254) =< aux(398) s(5253) =< aux(398) s(5272) =< aux(399) s(5273) =< aux(399) s(5274) =< aux(399) s(5262) =< aux(400) s(5273) =< aux(401) s(5275) =< aux(402) s(5263) =< aux(402) s(5264) =< aux(402) s(5266) =< aux(402) s(5267) =< aux(402) s(5269) =< aux(402) s(5270) =< aux(402) s(5254) =< aux(402) s(5274) =< aux(405) s(5276) =< aux(406) s(5277) =< aux(407) s(5268) =< aux(408) s(5269) =< aux(408) s(5270) =< aux(408) s(5254) =< aux(408) s(5267) =< aux(409) s(5269) =< aux(409) s(5264) =< aux(410) s(5278) =< aux(397)+3 s(5279) =< aux(397)+4 s(5280) =< aux(397)+5 s(5281) =< aux(397)+1 s(5282) =< aux(397)+2 s(5283) =< aux(397)-2 s(5275) =< aux(398)*(1/3)+aux(402) s(5263) =< aux(398)*(1/3)+aux(402) s(5264) =< aux(398)*(1/3)+aux(402) s(5265) =< aux(398)*(1/3)+aux(402) s(5266) =< aux(398)*(1/3)+aux(402) s(5267) =< aux(398)*(1/3)+aux(402) s(5268) =< aux(398)*(1/3)+aux(402) s(5269) =< aux(398)*(1/3)+aux(402) s(5271) =< aux(398)*(1/3)+aux(402) s(5254) =< aux(398)*(1/3)+aux(402) s(5270) =< aux(398)*(1/3)+aux(402) s(5267) =< aux(398)*(3/7)+aux(409) s(5268) =< aux(398)*(3/7)+aux(409) s(5269) =< aux(398)*(3/7)+aux(409) s(5270) =< aux(398)*(3/7)+aux(409) s(5271) =< aux(398)*(3/7)+aux(409) s(5268) =< aux(398)*(1/5)+aux(408) s(5269) =< aux(398)*(1/5)+aux(408) s(5270) =< aux(398)*(1/5)+aux(408) s(5271) =< aux(398)*(1/5)+aux(408) s(5254) =< aux(398)*(1/5)+aux(408) s(5264) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5265) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5266) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5267) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5268) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5269) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5270) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5271) =< aux(398)*(5/9)+s(5253)*(1/9)+aux(410) s(5262) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5263) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5264) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5265) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5266) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5267) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5268) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5269) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5270) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5271) =< aux(398)*(2/3)+s(5253)*(1/3)+aux(400) s(5274) =< aux(398)*(7/20)+s(5253)*(1/20)+aux(405) s(5261) =< aux(398)*(7/20)+s(5253)*(1/20)+aux(405) s(5273) =< aux(398)*(3/8)+s(5253)*(1/8)+aux(401) s(5274) =< aux(398)*(3/8)+s(5253)*(1/8)+aux(401) s(5261) =< aux(398)*(3/8)+s(5253)*(1/8)+aux(401) s(5272) =< aux(398)*(1/4)+aux(399) s(5273) =< aux(398)*(1/4)+aux(399) s(5274) =< aux(398)*(1/4)+aux(399) s(5261) =< aux(398)*(1/4)+aux(399) s(5276) =< aux(398)*(5/13)+s(5253)*(2/13)+aux(406) s(5272) =< aux(398)*(5/13)+s(5253)*(2/13)+aux(406) s(5273) =< aux(398)*(5/13)+s(5253)*(2/13)+aux(406) s(5274) =< aux(398)*(5/13)+s(5253)*(2/13)+aux(406) s(5261) =< aux(398)*(5/13)+s(5253)*(2/13)+aux(406) s(5284) =< s(5271)*s(5278) s(5285) =< s(5271)*s(5279) s(5286) =< s(5271)*s(5280) s(5287) =< s(5270)*s(5279) s(5288) =< s(5267)*s(5281) s(5289) =< s(5267)*s(5279) s(5290) =< s(5266)*s(5282) s(5291) =< s(5264)*s(5281) s(5292) =< s(5263)*s(5282) s(5293) =< s(5262)*s(5282) s(5277) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5276) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5272) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5273) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5274) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5261) =< aux(398)*(13/32)+s(5254)*(1/32)+s(5253)*(7/32)+aux(407) s(5294) =< s(5261)*s(5278) s(5295) =< s(5261)*s(5280) s(5296) =< s(5274)*s(5283) s(5297) =< s(5273)*s(5281) s(5298) =< s(5276)*s(5283) s(5299) =< s(5277)*aux(397) s(5300) =< s(5284) s(5301) =< s(5286) s(5285) =< s(5286) s(5302) =< s(5275) s(5303) =< s(5287) s(5304) =< s(5289) s(5305) =< s(5293) s(5306) =< s(5295) s(5307) =< aux(396) s(5308) =< s(5294) s(5308) =< s(5295) s(5309) =< s(5295) s(5309) =< s(5294) s(5310) =< s(5309) s(5311) =< s(5294) s(5312) =< s(5297) s(5313) =< s(5298) s(5314) =< s(5299) s(5522) =< aux(397) with precondition: [Out=1,V1>=1,V>=1] * Chain [86]: 7*s(5681)+3*s(5682)+1*s(5683)+3*s(5684)+2*s(5685)+1*s(5686)+3*s(5687)+1*s(5688)+3*s(5689)+5*s(5690)+5*s(5691)+1*s(5692)+5*s(5693)+5*s(5694)+5*s(5696)+5*s(5697)+4*s(5705)+1*s(5708)+1*s(5710)+1*s(5711)+1*s(5712)+1*s(5716)+10*s(5720)+18*s(5721)+3*s(5722)+14*s(5723)+6*s(5724)+7*s(5725)+16*s(5726)+11*s(5727)+4*s(5728)+2*s(5730)+54*s(5731)+7*s(5732)+2*s(5733)+8*s(5734)+7*s(5750)+3*s(5751)+1*s(5752)+3*s(5753)+2*s(5754)+1*s(5755)+3*s(5756)+1*s(5757)+3*s(5758)+5*s(5759)+5*s(5760)+1*s(5761)+5*s(5762)+5*s(5763)+5*s(5765)+5*s(5766)+4*s(5774)+1*s(5777)+1*s(5779)+1*s(5780)+1*s(5781)+1*s(5785)+10*s(5789)+18*s(5790)+3*s(5791)+14*s(5792)+6*s(5793)+7*s(5794)+16*s(5795)+11*s(5796)+4*s(5797)+2*s(5799)+54*s(5800)+7*s(5801)+2*s(5802)+8*s(5803)+7*s(5805)+3 Such that:s(5666) =< V1 s(5668) =< 2*V1+1 s(5669) =< V1/2 s(5670) =< V1/3 s(5671) =< V1/4 s(5672) =< 2/3*V1 s(5673) =< 2/3*V1+1/3 s(5674) =< 2/5*V1+1/5 s(5675) =< 3/10*V1 s(5676) =< 3/13*V1 s(5677) =< 3/16*V1 s(5678) =< 4/5*V1 s(5679) =< 4/7*V1 s(5680) =< 4/9*V1 s(5735) =< V s(5736) =< 2*V s(5737) =< 2*V+1 s(5738) =< V/2 s(5739) =< V/3 s(5740) =< V/4 s(5741) =< 2/3*V s(5742) =< 2/3*V+1/3 s(5743) =< 2/5*V+1/5 s(5744) =< 3/10*V s(5745) =< 3/13*V s(5746) =< 3/16*V s(5747) =< 4/5*V s(5748) =< 4/7*V s(5749) =< 4/9*V aux(426) =< 2*V1 s(5805) =< aux(426) s(5750) =< s(5735) s(5751) =< s(5735) s(5752) =< s(5735) s(5753) =< s(5735) s(5754) =< s(5735) s(5755) =< s(5735) s(5756) =< s(5735) s(5757) =< s(5735) s(5758) =< s(5735) s(5759) =< s(5735) s(5760) =< s(5735) s(5743) =< s(5735) s(5742) =< s(5735) s(5743) =< s(5737) s(5742) =< s(5737) s(5761) =< s(5738) s(5762) =< s(5738) s(5763) =< s(5738) s(5751) =< s(5739) s(5762) =< s(5740) s(5764) =< s(5741) s(5752) =< s(5741) s(5753) =< s(5741) s(5755) =< s(5741) s(5756) =< s(5741) s(5758) =< s(5741) s(5759) =< s(5741) s(5743) =< s(5741) s(5763) =< s(5744) s(5765) =< s(5745) s(5766) =< s(5746) s(5757) =< s(5747) s(5758) =< s(5747) s(5759) =< s(5747) s(5743) =< s(5747) s(5756) =< s(5748) s(5758) =< s(5748) s(5753) =< s(5749) s(5767) =< s(5736)+3 s(5768) =< s(5736)+4 s(5769) =< s(5736)+5 s(5770) =< s(5736)+1 s(5771) =< s(5736)+2 s(5772) =< s(5736)-2 s(5764) =< s(5737)*(1/3)+s(5741) s(5752) =< s(5737)*(1/3)+s(5741) s(5753) =< s(5737)*(1/3)+s(5741) s(5754) =< s(5737)*(1/3)+s(5741) s(5755) =< s(5737)*(1/3)+s(5741) s(5756) =< s(5737)*(1/3)+s(5741) s(5757) =< s(5737)*(1/3)+s(5741) s(5758) =< s(5737)*(1/3)+s(5741) s(5760) =< s(5737)*(1/3)+s(5741) s(5743) =< s(5737)*(1/3)+s(5741) s(5759) =< s(5737)*(1/3)+s(5741) s(5756) =< s(5737)*(3/7)+s(5748) s(5757) =< s(5737)*(3/7)+s(5748) s(5758) =< s(5737)*(3/7)+s(5748) s(5759) =< s(5737)*(3/7)+s(5748) s(5760) =< s(5737)*(3/7)+s(5748) s(5757) =< s(5737)*(1/5)+s(5747) s(5758) =< s(5737)*(1/5)+s(5747) s(5759) =< s(5737)*(1/5)+s(5747) s(5760) =< s(5737)*(1/5)+s(5747) s(5743) =< s(5737)*(1/5)+s(5747) s(5753) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5754) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5755) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5756) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5757) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5758) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5759) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5760) =< s(5737)*(5/9)+s(5742)*(1/9)+s(5749) s(5751) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5752) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5753) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5754) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5755) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5756) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5757) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5758) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5759) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5760) =< s(5737)*(2/3)+s(5742)*(1/3)+s(5739) s(5763) =< s(5737)*(7/20)+s(5742)*(1/20)+s(5744) s(5750) =< s(5737)*(7/20)+s(5742)*(1/20)+s(5744) s(5762) =< s(5737)*(3/8)+s(5742)*(1/8)+s(5740) s(5763) =< s(5737)*(3/8)+s(5742)*(1/8)+s(5740) s(5750) =< s(5737)*(3/8)+s(5742)*(1/8)+s(5740) s(5761) =< s(5737)*(1/4)+s(5738) s(5762) =< s(5737)*(1/4)+s(5738) s(5763) =< s(5737)*(1/4)+s(5738) s(5750) =< s(5737)*(1/4)+s(5738) s(5765) =< s(5737)*(5/13)+s(5742)*(2/13)+s(5745) s(5761) =< s(5737)*(5/13)+s(5742)*(2/13)+s(5745) s(5762) =< s(5737)*(5/13)+s(5742)*(2/13)+s(5745) s(5763) =< s(5737)*(5/13)+s(5742)*(2/13)+s(5745) s(5750) =< s(5737)*(5/13)+s(5742)*(2/13)+s(5745) s(5773) =< s(5760)*s(5767) s(5774) =< s(5760)*s(5768) s(5775) =< s(5760)*s(5769) s(5776) =< s(5759)*s(5768) s(5777) =< s(5756)*s(5770) s(5778) =< s(5756)*s(5768) s(5779) =< s(5755)*s(5771) s(5780) =< s(5753)*s(5770) s(5781) =< s(5752)*s(5771) s(5782) =< s(5751)*s(5771) s(5766) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5765) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5761) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5762) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5763) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5750) =< s(5737)*(13/32)+s(5743)*(1/32)+s(5742)*(7/32)+s(5746) s(5783) =< s(5750)*s(5767) s(5784) =< s(5750)*s(5769) s(5785) =< s(5763)*s(5772) s(5786) =< s(5762)*s(5770) s(5787) =< s(5765)*s(5772) s(5788) =< s(5766)*s(5736) s(5789) =< s(5773) s(5790) =< s(5775) s(5774) =< s(5775) s(5791) =< s(5764) s(5792) =< s(5776) s(5793) =< s(5778) s(5794) =< s(5782) s(5795) =< s(5784) s(5796) =< s(5735) s(5797) =< s(5783) s(5797) =< s(5784) s(5798) =< s(5784) s(5798) =< s(5783) s(5799) =< s(5798) s(5800) =< s(5783) s(5801) =< s(5786) s(5802) =< s(5787) s(5803) =< s(5788) s(5681) =< s(5666) s(5682) =< s(5666) s(5683) =< s(5666) s(5684) =< s(5666) s(5685) =< s(5666) s(5686) =< s(5666) s(5687) =< s(5666) s(5688) =< s(5666) s(5689) =< s(5666) s(5690) =< s(5666) s(5691) =< s(5666) s(5674) =< s(5666) s(5673) =< s(5666) s(5674) =< s(5668) s(5673) =< s(5668) s(5692) =< s(5669) s(5693) =< s(5669) s(5694) =< s(5669) s(5682) =< s(5670) s(5693) =< s(5671) s(5695) =< s(5672) s(5683) =< s(5672) s(5684) =< s(5672) s(5686) =< s(5672) s(5687) =< s(5672) s(5689) =< s(5672) s(5690) =< s(5672) s(5674) =< s(5672) s(5694) =< s(5675) s(5696) =< s(5676) s(5697) =< s(5677) s(5688) =< s(5678) s(5689) =< s(5678) s(5690) =< s(5678) s(5674) =< s(5678) s(5687) =< s(5679) s(5689) =< s(5679) s(5684) =< s(5680) s(5698) =< aux(426)+3 s(5699) =< aux(426)+4 s(5700) =< aux(426)+5 s(5701) =< aux(426)+1 s(5702) =< aux(426)+2 s(5703) =< aux(426)-2 s(5695) =< s(5668)*(1/3)+s(5672) s(5683) =< s(5668)*(1/3)+s(5672) s(5684) =< s(5668)*(1/3)+s(5672) s(5685) =< s(5668)*(1/3)+s(5672) s(5686) =< s(5668)*(1/3)+s(5672) s(5687) =< s(5668)*(1/3)+s(5672) s(5688) =< s(5668)*(1/3)+s(5672) s(5689) =< s(5668)*(1/3)+s(5672) s(5691) =< s(5668)*(1/3)+s(5672) s(5674) =< s(5668)*(1/3)+s(5672) s(5690) =< s(5668)*(1/3)+s(5672) s(5687) =< s(5668)*(3/7)+s(5679) s(5688) =< s(5668)*(3/7)+s(5679) s(5689) =< s(5668)*(3/7)+s(5679) s(5690) =< s(5668)*(3/7)+s(5679) s(5691) =< s(5668)*(3/7)+s(5679) s(5688) =< s(5668)*(1/5)+s(5678) s(5689) =< s(5668)*(1/5)+s(5678) s(5690) =< s(5668)*(1/5)+s(5678) s(5691) =< s(5668)*(1/5)+s(5678) s(5674) =< s(5668)*(1/5)+s(5678) s(5684) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5685) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5686) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5687) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5688) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5689) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5690) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5691) =< s(5668)*(5/9)+s(5673)*(1/9)+s(5680) s(5682) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5683) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5684) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5685) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5686) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5687) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5688) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5689) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5690) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5691) =< s(5668)*(2/3)+s(5673)*(1/3)+s(5670) s(5694) =< s(5668)*(7/20)+s(5673)*(1/20)+s(5675) s(5681) =< s(5668)*(7/20)+s(5673)*(1/20)+s(5675) s(5693) =< s(5668)*(3/8)+s(5673)*(1/8)+s(5671) s(5694) =< s(5668)*(3/8)+s(5673)*(1/8)+s(5671) s(5681) =< s(5668)*(3/8)+s(5673)*(1/8)+s(5671) s(5692) =< s(5668)*(1/4)+s(5669) s(5693) =< s(5668)*(1/4)+s(5669) s(5694) =< s(5668)*(1/4)+s(5669) s(5681) =< s(5668)*(1/4)+s(5669) s(5696) =< s(5668)*(5/13)+s(5673)*(2/13)+s(5676) s(5692) =< s(5668)*(5/13)+s(5673)*(2/13)+s(5676) s(5693) =< s(5668)*(5/13)+s(5673)*(2/13)+s(5676) s(5694) =< s(5668)*(5/13)+s(5673)*(2/13)+s(5676) s(5681) =< s(5668)*(5/13)+s(5673)*(2/13)+s(5676) s(5704) =< s(5691)*s(5698) s(5705) =< s(5691)*s(5699) s(5706) =< s(5691)*s(5700) s(5707) =< s(5690)*s(5699) s(5708) =< s(5687)*s(5701) s(5709) =< s(5687)*s(5699) s(5710) =< s(5686)*s(5702) s(5711) =< s(5684)*s(5701) s(5712) =< s(5683)*s(5702) s(5713) =< s(5682)*s(5702) s(5697) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5696) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5692) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5693) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5694) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5681) =< s(5668)*(13/32)+s(5674)*(1/32)+s(5673)*(7/32)+s(5677) s(5714) =< s(5681)*s(5698) s(5715) =< s(5681)*s(5700) s(5716) =< s(5694)*s(5703) s(5717) =< s(5693)*s(5701) s(5718) =< s(5696)*s(5703) s(5719) =< s(5697)*aux(426) s(5720) =< s(5704) s(5721) =< s(5706) s(5705) =< s(5706) s(5722) =< s(5695) s(5723) =< s(5707) s(5724) =< s(5709) s(5725) =< s(5713) s(5726) =< s(5715) s(5727) =< s(5666) s(5728) =< s(5714) s(5728) =< s(5715) s(5729) =< s(5715) s(5729) =< s(5714) s(5730) =< s(5729) s(5731) =< s(5714) s(5732) =< s(5717) s(5733) =< s(5718) s(5734) =< s(5719) with precondition: [Out>=2,2*V1>=2*Out+1,2*V>=Out+1] #### Cost of chains of fun8(V1,V,V14,Out): * Chain [97]: 56*s(6330)+24*s(6331)+8*s(6332)+24*s(6333)+16*s(6334)+8*s(6335)+24*s(6336)+8*s(6337)+24*s(6338)+40*s(6339)+40*s(6340)+8*s(6341)+40*s(6342)+40*s(6343)+40*s(6345)+40*s(6346)+32*s(6354)+8*s(6357)+8*s(6359)+8*s(6360)+8*s(6361)+8*s(6365)+80*s(6369)+144*s(6370)+24*s(6371)+112*s(6372)+48*s(6373)+56*s(6374)+128*s(6375)+88*s(6376)+32*s(6377)+16*s(6379)+432*s(6380)+56*s(6381)+16*s(6382)+64*s(6383)+98*s(6399)+42*s(6400)+14*s(6401)+42*s(6402)+28*s(6403)+14*s(6404)+42*s(6405)+14*s(6406)+42*s(6407)+70*s(6408)+70*s(6409)+14*s(6410)+70*s(6411)+70*s(6412)+70*s(6414)+70*s(6415)+56*s(6423)+14*s(6426)+14*s(6428)+14*s(6429)+14*s(6430)+14*s(6434)+140*s(6438)+252*s(6439)+42*s(6440)+196*s(6441)+84*s(6442)+98*s(6443)+224*s(6444)+154*s(6445)+56*s(6446)+28*s(6448)+756*s(6449)+98*s(6450)+28*s(6451)+112*s(6452)+133*s(6468)+57*s(6469)+19*s(6470)+57*s(6471)+38*s(6472)+19*s(6473)+57*s(6474)+19*s(6475)+57*s(6476)+95*s(6477)+95*s(6478)+19*s(6479)+95*s(6480)+95*s(6481)+95*s(6483)+95*s(6484)+76*s(6492)+19*s(6495)+19*s(6497)+19*s(6498)+19*s(6499)+19*s(6503)+190*s(6507)+342*s(6508)+57*s(6509)+266*s(6510)+114*s(6511)+133*s(6512)+304*s(6513)+209*s(6514)+76*s(6515)+38*s(6517)+1026*s(6518)+133*s(6519)+38*s(6520)+152*s(6521)+134*s(7696)+66*s(7699)+27*s(8122)+24*s(9238)+7 Such that:aux(490) =< 1 aux(491) =< 2 aux(492) =< V1 aux(493) =< 2*V1 aux(494) =< 2*V1+1 aux(495) =< V1/2 aux(496) =< V1/3 aux(497) =< V1/4 aux(498) =< 2/3*V1 aux(499) =< 2/3*V1+1/3 aux(500) =< 2/5*V1+1/5 aux(501) =< 3/10*V1 aux(502) =< 3/13*V1 aux(503) =< 3/16*V1 aux(504) =< 4/5*V1 aux(505) =< 4/7*V1 aux(506) =< 4/9*V1 aux(507) =< V aux(508) =< 2*V aux(509) =< 2*V+1 aux(510) =< V/2 aux(511) =< V/3 aux(512) =< V/4 aux(513) =< 2/3*V aux(514) =< 2/3*V+1/3 aux(515) =< 2/5*V+1/5 aux(516) =< 3/10*V aux(517) =< 3/13*V aux(518) =< 3/16*V aux(519) =< 4/5*V aux(520) =< 4/7*V aux(521) =< 4/9*V aux(522) =< V14 aux(523) =< 2*V14 aux(524) =< 2*V14+1 aux(525) =< V14/2 aux(526) =< V14/3 aux(527) =< V14/4 aux(528) =< 2/3*V14 aux(529) =< 2/3*V14+1/3 aux(530) =< 2/5*V14+1/5 aux(531) =< 3/10*V14 aux(532) =< 3/13*V14 aux(533) =< 3/16*V14 aux(534) =< 4/5*V14 aux(535) =< 4/7*V14 aux(536) =< 4/9*V14 s(7699) =< aux(490) s(6322) =< aux(499) s(6323) =< aux(500) s(6391) =< aux(514) s(6392) =< aux(515) s(6460) =< aux(529) s(6461) =< aux(530) s(7696) =< aux(508) s(6468) =< aux(522) s(6469) =< aux(522) s(6470) =< aux(522) s(6471) =< aux(522) s(6472) =< aux(522) s(6473) =< aux(522) s(6474) =< aux(522) s(6475) =< aux(522) s(6476) =< aux(522) s(6477) =< aux(522) s(6478) =< aux(522) s(6461) =< aux(522) s(6460) =< aux(522) s(6461) =< aux(524) s(6460) =< aux(524) s(6479) =< aux(525) s(6480) =< aux(525) s(6481) =< aux(525) s(6469) =< aux(526) s(6480) =< aux(527) s(6482) =< aux(528) s(6470) =< aux(528) s(6471) =< aux(528) s(6473) =< aux(528) s(6474) =< aux(528) s(6476) =< aux(528) s(6477) =< aux(528) s(6461) =< aux(528) s(6481) =< aux(531) s(6483) =< aux(532) s(6484) =< aux(533) s(6475) =< aux(534) s(6476) =< aux(534) s(6477) =< aux(534) s(6461) =< aux(534) s(6474) =< aux(535) s(6476) =< aux(535) s(6471) =< aux(536) s(6485) =< aux(523)+3 s(6486) =< aux(523)+4 s(6487) =< aux(523)+5 s(6488) =< aux(523)+1 s(6489) =< aux(523)+2 s(6490) =< aux(523)-2 s(6482) =< aux(524)*(1/3)+aux(528) s(6470) =< aux(524)*(1/3)+aux(528) s(6471) =< aux(524)*(1/3)+aux(528) s(6472) =< aux(524)*(1/3)+aux(528) s(6473) =< aux(524)*(1/3)+aux(528) s(6474) =< aux(524)*(1/3)+aux(528) s(6475) =< aux(524)*(1/3)+aux(528) s(6476) =< aux(524)*(1/3)+aux(528) s(6478) =< aux(524)*(1/3)+aux(528) s(6461) =< aux(524)*(1/3)+aux(528) s(6477) =< aux(524)*(1/3)+aux(528) s(6474) =< aux(524)*(3/7)+aux(535) s(6475) =< aux(524)*(3/7)+aux(535) s(6476) =< aux(524)*(3/7)+aux(535) s(6477) =< aux(524)*(3/7)+aux(535) s(6478) =< aux(524)*(3/7)+aux(535) s(6475) =< aux(524)*(1/5)+aux(534) s(6476) =< aux(524)*(1/5)+aux(534) s(6477) =< aux(524)*(1/5)+aux(534) s(6478) =< aux(524)*(1/5)+aux(534) s(6461) =< aux(524)*(1/5)+aux(534) s(6471) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6472) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6473) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6474) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6475) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6476) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6477) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6478) =< aux(524)*(5/9)+s(6460)*(1/9)+aux(536) s(6469) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6470) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6471) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6472) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6473) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6474) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6475) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6476) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6477) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6478) =< aux(524)*(2/3)+s(6460)*(1/3)+aux(526) s(6481) =< aux(524)*(7/20)+s(6460)*(1/20)+aux(531) s(6468) =< aux(524)*(7/20)+s(6460)*(1/20)+aux(531) s(6480) =< aux(524)*(3/8)+s(6460)*(1/8)+aux(527) s(6481) =< aux(524)*(3/8)+s(6460)*(1/8)+aux(527) s(6468) =< aux(524)*(3/8)+s(6460)*(1/8)+aux(527) s(6479) =< aux(524)*(1/4)+aux(525) s(6480) =< aux(524)*(1/4)+aux(525) s(6481) =< aux(524)*(1/4)+aux(525) s(6468) =< aux(524)*(1/4)+aux(525) s(6483) =< aux(524)*(5/13)+s(6460)*(2/13)+aux(532) s(6479) =< aux(524)*(5/13)+s(6460)*(2/13)+aux(532) s(6480) =< aux(524)*(5/13)+s(6460)*(2/13)+aux(532) s(6481) =< aux(524)*(5/13)+s(6460)*(2/13)+aux(532) s(6468) =< aux(524)*(5/13)+s(6460)*(2/13)+aux(532) s(6491) =< s(6478)*s(6485) s(6492) =< s(6478)*s(6486) s(6493) =< s(6478)*s(6487) s(6494) =< s(6477)*s(6486) s(6495) =< s(6474)*s(6488) s(6496) =< s(6474)*s(6486) s(6497) =< s(6473)*s(6489) s(6498) =< s(6471)*s(6488) s(6499) =< s(6470)*s(6489) s(6500) =< s(6469)*s(6489) s(6484) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6483) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6479) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6480) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6481) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6468) =< aux(524)*(13/32)+s(6461)*(1/32)+s(6460)*(7/32)+aux(533) s(6501) =< s(6468)*s(6485) s(6502) =< s(6468)*s(6487) s(6503) =< s(6481)*s(6490) s(6504) =< s(6480)*s(6488) s(6505) =< s(6483)*s(6490) s(6506) =< s(6484)*aux(523) s(6507) =< s(6491) s(6508) =< s(6493) s(6492) =< s(6493) s(6509) =< s(6482) s(6510) =< s(6494) s(6511) =< s(6496) s(6512) =< s(6500) s(6513) =< s(6502) s(6514) =< aux(522) s(6515) =< s(6501) s(6515) =< s(6502) s(6516) =< s(6502) s(6516) =< s(6501) s(6517) =< s(6516) s(6518) =< s(6501) s(6519) =< s(6504) s(6520) =< s(6505) s(6521) =< s(6506) s(6399) =< aux(507) s(6400) =< aux(507) s(6401) =< aux(507) s(6402) =< aux(507) s(6403) =< aux(507) s(6404) =< aux(507) s(6405) =< aux(507) s(6406) =< aux(507) s(6407) =< aux(507) s(6408) =< aux(507) s(6409) =< aux(507) s(6392) =< aux(507) s(6391) =< aux(507) s(6392) =< aux(509) s(6391) =< aux(509) s(6410) =< aux(510) s(6411) =< aux(510) s(6412) =< aux(510) s(6400) =< aux(511) s(6411) =< aux(512) s(6413) =< aux(513) s(6401) =< aux(513) s(6402) =< aux(513) s(6404) =< aux(513) s(6405) =< aux(513) s(6407) =< aux(513) s(6408) =< aux(513) s(6392) =< aux(513) s(6412) =< aux(516) s(6414) =< aux(517) s(6415) =< aux(518) s(6406) =< aux(519) s(6407) =< aux(519) s(6408) =< aux(519) s(6392) =< aux(519) s(6405) =< aux(520) s(6407) =< aux(520) s(6402) =< aux(521) s(6416) =< aux(508)+3 s(6417) =< aux(508)+4 s(6418) =< aux(508)+5 s(6419) =< aux(508)+1 s(6420) =< aux(508)+2 s(6421) =< aux(508)-2 s(6413) =< aux(509)*(1/3)+aux(513) s(6401) =< aux(509)*(1/3)+aux(513) s(6402) =< aux(509)*(1/3)+aux(513) s(6403) =< aux(509)*(1/3)+aux(513) s(6404) =< aux(509)*(1/3)+aux(513) s(6405) =< aux(509)*(1/3)+aux(513) s(6406) =< aux(509)*(1/3)+aux(513) s(6407) =< aux(509)*(1/3)+aux(513) s(6409) =< aux(509)*(1/3)+aux(513) s(6392) =< aux(509)*(1/3)+aux(513) s(6408) =< aux(509)*(1/3)+aux(513) s(6405) =< aux(509)*(3/7)+aux(520) s(6406) =< aux(509)*(3/7)+aux(520) s(6407) =< aux(509)*(3/7)+aux(520) s(6408) =< aux(509)*(3/7)+aux(520) s(6409) =< aux(509)*(3/7)+aux(520) s(6406) =< aux(509)*(1/5)+aux(519) s(6407) =< aux(509)*(1/5)+aux(519) s(6408) =< aux(509)*(1/5)+aux(519) s(6409) =< aux(509)*(1/5)+aux(519) s(6392) =< aux(509)*(1/5)+aux(519) s(6402) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6403) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6404) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6405) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6406) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6407) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6408) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6409) =< aux(509)*(5/9)+s(6391)*(1/9)+aux(521) s(6400) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6401) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6402) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6403) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6404) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6405) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6406) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6407) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6408) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6409) =< aux(509)*(2/3)+s(6391)*(1/3)+aux(511) s(6412) =< aux(509)*(7/20)+s(6391)*(1/20)+aux(516) s(6399) =< aux(509)*(7/20)+s(6391)*(1/20)+aux(516) s(6411) =< aux(509)*(3/8)+s(6391)*(1/8)+aux(512) s(6412) =< aux(509)*(3/8)+s(6391)*(1/8)+aux(512) s(6399) =< aux(509)*(3/8)+s(6391)*(1/8)+aux(512) s(6410) =< aux(509)*(1/4)+aux(510) s(6411) =< aux(509)*(1/4)+aux(510) s(6412) =< aux(509)*(1/4)+aux(510) s(6399) =< aux(509)*(1/4)+aux(510) s(6414) =< aux(509)*(5/13)+s(6391)*(2/13)+aux(517) s(6410) =< aux(509)*(5/13)+s(6391)*(2/13)+aux(517) s(6411) =< aux(509)*(5/13)+s(6391)*(2/13)+aux(517) s(6412) =< aux(509)*(5/13)+s(6391)*(2/13)+aux(517) s(6399) =< aux(509)*(5/13)+s(6391)*(2/13)+aux(517) s(6422) =< s(6409)*s(6416) s(6423) =< s(6409)*s(6417) s(6424) =< s(6409)*s(6418) s(6425) =< s(6408)*s(6417) s(6426) =< s(6405)*s(6419) s(6427) =< s(6405)*s(6417) s(6428) =< s(6404)*s(6420) s(6429) =< s(6402)*s(6419) s(6430) =< s(6401)*s(6420) s(6431) =< s(6400)*s(6420) s(6415) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6414) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6410) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6411) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6412) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6399) =< aux(509)*(13/32)+s(6392)*(1/32)+s(6391)*(7/32)+aux(518) s(6432) =< s(6399)*s(6416) s(6433) =< s(6399)*s(6418) s(6434) =< s(6412)*s(6421) s(6435) =< s(6411)*s(6419) s(6436) =< s(6414)*s(6421) s(6437) =< s(6415)*aux(508) s(6438) =< s(6422) s(6439) =< s(6424) s(6423) =< s(6424) s(6440) =< s(6413) s(6441) =< s(6425) s(6442) =< s(6427) s(6443) =< s(6431) s(6444) =< s(6433) s(6445) =< aux(507) s(6446) =< s(6432) s(6446) =< s(6433) s(6447) =< s(6433) s(6447) =< s(6432) s(6448) =< s(6447) s(6449) =< s(6432) s(6450) =< s(6435) s(6451) =< s(6436) s(6452) =< s(6437) s(6330) =< aux(492) s(6331) =< aux(492) s(6332) =< aux(492) s(6333) =< aux(492) s(6334) =< aux(492) s(6335) =< aux(492) s(6336) =< aux(492) s(6337) =< aux(492) s(6338) =< aux(492) s(6339) =< aux(492) s(6340) =< aux(492) s(6323) =< aux(492) s(6322) =< aux(492) s(6323) =< aux(494) s(6322) =< aux(494) s(6341) =< aux(495) s(6342) =< aux(495) s(6343) =< aux(495) s(6331) =< aux(496) s(6342) =< aux(497) s(6344) =< aux(498) s(6332) =< aux(498) s(6333) =< aux(498) s(6335) =< aux(498) s(6336) =< aux(498) s(6338) =< aux(498) s(6339) =< aux(498) s(6323) =< aux(498) s(6343) =< aux(501) s(6345) =< aux(502) s(6346) =< aux(503) s(6337) =< aux(504) s(6338) =< aux(504) s(6339) =< aux(504) s(6323) =< aux(504) s(6336) =< aux(505) s(6338) =< aux(505) s(6333) =< aux(506) s(6347) =< aux(493)+3 s(6348) =< aux(493)+4 s(6349) =< aux(493)+5 s(6350) =< aux(493)+1 s(6351) =< aux(493)+2 s(6352) =< aux(493)-2 s(6344) =< aux(494)*(1/3)+aux(498) s(6332) =< aux(494)*(1/3)+aux(498) s(6333) =< aux(494)*(1/3)+aux(498) s(6334) =< aux(494)*(1/3)+aux(498) s(6335) =< aux(494)*(1/3)+aux(498) s(6336) =< aux(494)*(1/3)+aux(498) s(6337) =< aux(494)*(1/3)+aux(498) s(6338) =< aux(494)*(1/3)+aux(498) s(6340) =< aux(494)*(1/3)+aux(498) s(6323) =< aux(494)*(1/3)+aux(498) s(6339) =< aux(494)*(1/3)+aux(498) s(6336) =< aux(494)*(3/7)+aux(505) s(6337) =< aux(494)*(3/7)+aux(505) s(6338) =< aux(494)*(3/7)+aux(505) s(6339) =< aux(494)*(3/7)+aux(505) s(6340) =< aux(494)*(3/7)+aux(505) s(6337) =< aux(494)*(1/5)+aux(504) s(6338) =< aux(494)*(1/5)+aux(504) s(6339) =< aux(494)*(1/5)+aux(504) s(6340) =< aux(494)*(1/5)+aux(504) s(6323) =< aux(494)*(1/5)+aux(504) s(6333) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6334) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6335) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6336) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6337) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6338) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6339) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6340) =< aux(494)*(5/9)+s(6322)*(1/9)+aux(506) s(6331) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6332) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6333) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6334) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6335) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6336) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6337) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6338) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6339) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6340) =< aux(494)*(2/3)+s(6322)*(1/3)+aux(496) s(6343) =< aux(494)*(7/20)+s(6322)*(1/20)+aux(501) s(6330) =< aux(494)*(7/20)+s(6322)*(1/20)+aux(501) s(6342) =< aux(494)*(3/8)+s(6322)*(1/8)+aux(497) s(6343) =< aux(494)*(3/8)+s(6322)*(1/8)+aux(497) s(6330) =< aux(494)*(3/8)+s(6322)*(1/8)+aux(497) s(6341) =< aux(494)*(1/4)+aux(495) s(6342) =< aux(494)*(1/4)+aux(495) s(6343) =< aux(494)*(1/4)+aux(495) s(6330) =< aux(494)*(1/4)+aux(495) s(6345) =< aux(494)*(5/13)+s(6322)*(2/13)+aux(502) s(6341) =< aux(494)*(5/13)+s(6322)*(2/13)+aux(502) s(6342) =< aux(494)*(5/13)+s(6322)*(2/13)+aux(502) s(6343) =< aux(494)*(5/13)+s(6322)*(2/13)+aux(502) s(6330) =< aux(494)*(5/13)+s(6322)*(2/13)+aux(502) s(6353) =< s(6340)*s(6347) s(6354) =< s(6340)*s(6348) s(6355) =< s(6340)*s(6349) s(6356) =< s(6339)*s(6348) s(6357) =< s(6336)*s(6350) s(6358) =< s(6336)*s(6348) s(6359) =< s(6335)*s(6351) s(6360) =< s(6333)*s(6350) s(6361) =< s(6332)*s(6351) s(6362) =< s(6331)*s(6351) s(6346) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6345) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6341) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6342) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6343) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6330) =< aux(494)*(13/32)+s(6323)*(1/32)+s(6322)*(7/32)+aux(503) s(6363) =< s(6330)*s(6347) s(6364) =< s(6330)*s(6349) s(6365) =< s(6343)*s(6352) s(6366) =< s(6342)*s(6350) s(6367) =< s(6345)*s(6352) s(6368) =< s(6346)*aux(493) s(6369) =< s(6353) s(6370) =< s(6355) s(6354) =< s(6355) s(6371) =< s(6344) s(6372) =< s(6356) s(6373) =< s(6358) s(6374) =< s(6362) s(6375) =< s(6364) s(6376) =< aux(492) s(6377) =< s(6363) s(6377) =< s(6364) s(6378) =< s(6364) s(6378) =< s(6363) s(6379) =< s(6378) s(6380) =< s(6363) s(6381) =< s(6366) s(6382) =< s(6367) s(6383) =< s(6368) s(9238) =< aux(491) s(8122) =< aux(523) with precondition: [Out=0,V1>=0,V>=0,V14>=0] * Chain [96]: 28*s(9278)+12*s(9279)+4*s(9280)+12*s(9281)+8*s(9282)+4*s(9283)+12*s(9284)+4*s(9285)+12*s(9286)+20*s(9287)+20*s(9288)+4*s(9289)+20*s(9290)+20*s(9291)+20*s(9293)+20*s(9294)+16*s(9302)+4*s(9305)+4*s(9307)+4*s(9308)+4*s(9309)+4*s(9313)+40*s(9317)+72*s(9318)+12*s(9319)+56*s(9320)+24*s(9321)+28*s(9322)+64*s(9323)+44*s(9324)+16*s(9325)+8*s(9327)+216*s(9328)+28*s(9329)+8*s(9330)+32*s(9331)+49*s(9347)+21*s(9348)+7*s(9349)+21*s(9350)+14*s(9351)+7*s(9352)+21*s(9353)+7*s(9354)+21*s(9355)+35*s(9356)+35*s(9357)+7*s(9358)+35*s(9359)+35*s(9360)+35*s(9362)+35*s(9363)+28*s(9371)+7*s(9374)+7*s(9376)+7*s(9377)+7*s(9378)+7*s(9382)+70*s(9386)+126*s(9387)+21*s(9388)+98*s(9389)+42*s(9390)+49*s(9391)+112*s(9392)+77*s(9393)+28*s(9394)+14*s(9396)+378*s(9397)+49*s(9398)+14*s(9399)+56*s(9400)+4*s(9746)+32*s(9751)+44*s(9896)+7 Such that:aux(541) =< 1 aux(542) =< 2 aux(543) =< V1 aux(544) =< 2*V1 aux(545) =< 2*V1+1 aux(546) =< V1/2 aux(547) =< V1/3 aux(548) =< V1/4 aux(549) =< 2/3*V1 aux(550) =< 2/3*V1+1/3 aux(551) =< 2/5*V1+1/5 aux(552) =< 3/10*V1 aux(553) =< 3/13*V1 aux(554) =< 3/16*V1 aux(555) =< 4/5*V1 aux(556) =< 4/7*V1 aux(557) =< 4/9*V1 aux(558) =< V aux(559) =< 2*V aux(560) =< 2*V+1 aux(561) =< V/2 aux(562) =< V/3 aux(563) =< V/4 aux(564) =< 2/3*V aux(565) =< 2/3*V+1/3 aux(566) =< 2/5*V+1/5 aux(567) =< 3/10*V aux(568) =< 3/13*V aux(569) =< 3/16*V aux(570) =< 4/5*V aux(571) =< 4/7*V aux(572) =< 4/9*V s(9746) =< aux(541) s(9270) =< aux(550) s(9271) =< aux(551) s(9339) =< aux(565) s(9340) =< aux(566) s(9751) =< aux(542) s(9347) =< aux(558) s(9348) =< aux(558) s(9349) =< aux(558) s(9350) =< aux(558) s(9351) =< aux(558) s(9352) =< aux(558) s(9353) =< aux(558) s(9354) =< aux(558) s(9355) =< aux(558) s(9356) =< aux(558) s(9357) =< aux(558) s(9340) =< aux(558) s(9339) =< aux(558) s(9340) =< aux(560) s(9339) =< aux(560) s(9358) =< aux(561) s(9359) =< aux(561) s(9360) =< aux(561) s(9348) =< aux(562) s(9359) =< aux(563) s(9361) =< aux(564) s(9349) =< aux(564) s(9350) =< aux(564) s(9352) =< aux(564) s(9353) =< aux(564) s(9355) =< aux(564) s(9356) =< aux(564) s(9340) =< aux(564) s(9360) =< aux(567) s(9362) =< aux(568) s(9363) =< aux(569) s(9354) =< aux(570) s(9355) =< aux(570) s(9356) =< aux(570) s(9340) =< aux(570) s(9353) =< aux(571) s(9355) =< aux(571) s(9350) =< aux(572) s(9364) =< aux(559)+3 s(9365) =< aux(559)+4 s(9366) =< aux(559)+5 s(9367) =< aux(559)+1 s(9368) =< aux(559)+2 s(9369) =< aux(559)-2 s(9361) =< aux(560)*(1/3)+aux(564) s(9349) =< aux(560)*(1/3)+aux(564) s(9350) =< aux(560)*(1/3)+aux(564) s(9351) =< aux(560)*(1/3)+aux(564) s(9352) =< aux(560)*(1/3)+aux(564) s(9353) =< aux(560)*(1/3)+aux(564) s(9354) =< aux(560)*(1/3)+aux(564) s(9355) =< aux(560)*(1/3)+aux(564) s(9357) =< aux(560)*(1/3)+aux(564) s(9340) =< aux(560)*(1/3)+aux(564) s(9356) =< aux(560)*(1/3)+aux(564) s(9353) =< aux(560)*(3/7)+aux(571) s(9354) =< aux(560)*(3/7)+aux(571) s(9355) =< aux(560)*(3/7)+aux(571) s(9356) =< aux(560)*(3/7)+aux(571) s(9357) =< aux(560)*(3/7)+aux(571) s(9354) =< aux(560)*(1/5)+aux(570) s(9355) =< aux(560)*(1/5)+aux(570) s(9356) =< aux(560)*(1/5)+aux(570) s(9357) =< aux(560)*(1/5)+aux(570) s(9340) =< aux(560)*(1/5)+aux(570) s(9350) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9351) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9352) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9353) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9354) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9355) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9356) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9357) =< aux(560)*(5/9)+s(9339)*(1/9)+aux(572) s(9348) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9349) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9350) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9351) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9352) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9353) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9354) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9355) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9356) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9357) =< aux(560)*(2/3)+s(9339)*(1/3)+aux(562) s(9360) =< aux(560)*(7/20)+s(9339)*(1/20)+aux(567) s(9347) =< aux(560)*(7/20)+s(9339)*(1/20)+aux(567) s(9359) =< aux(560)*(3/8)+s(9339)*(1/8)+aux(563) s(9360) =< aux(560)*(3/8)+s(9339)*(1/8)+aux(563) s(9347) =< aux(560)*(3/8)+s(9339)*(1/8)+aux(563) s(9358) =< aux(560)*(1/4)+aux(561) s(9359) =< aux(560)*(1/4)+aux(561) s(9360) =< aux(560)*(1/4)+aux(561) s(9347) =< aux(560)*(1/4)+aux(561) s(9362) =< aux(560)*(5/13)+s(9339)*(2/13)+aux(568) s(9358) =< aux(560)*(5/13)+s(9339)*(2/13)+aux(568) s(9359) =< aux(560)*(5/13)+s(9339)*(2/13)+aux(568) s(9360) =< aux(560)*(5/13)+s(9339)*(2/13)+aux(568) s(9347) =< aux(560)*(5/13)+s(9339)*(2/13)+aux(568) s(9370) =< s(9357)*s(9364) s(9371) =< s(9357)*s(9365) s(9372) =< s(9357)*s(9366) s(9373) =< s(9356)*s(9365) s(9374) =< s(9353)*s(9367) s(9375) =< s(9353)*s(9365) s(9376) =< s(9352)*s(9368) s(9377) =< s(9350)*s(9367) s(9378) =< s(9349)*s(9368) s(9379) =< s(9348)*s(9368) s(9363) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9362) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9358) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9359) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9360) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9347) =< aux(560)*(13/32)+s(9340)*(1/32)+s(9339)*(7/32)+aux(569) s(9380) =< s(9347)*s(9364) s(9381) =< s(9347)*s(9366) s(9382) =< s(9360)*s(9369) s(9383) =< s(9359)*s(9367) s(9384) =< s(9362)*s(9369) s(9385) =< s(9363)*aux(559) s(9386) =< s(9370) s(9387) =< s(9372) s(9371) =< s(9372) s(9388) =< s(9361) s(9389) =< s(9373) s(9390) =< s(9375) s(9391) =< s(9379) s(9392) =< s(9381) s(9393) =< aux(558) s(9394) =< s(9380) s(9394) =< s(9381) s(9395) =< s(9381) s(9395) =< s(9380) s(9396) =< s(9395) s(9397) =< s(9380) s(9398) =< s(9383) s(9399) =< s(9384) s(9400) =< s(9385) s(9278) =< aux(543) s(9279) =< aux(543) s(9280) =< aux(543) s(9281) =< aux(543) s(9282) =< aux(543) s(9283) =< aux(543) s(9284) =< aux(543) s(9285) =< aux(543) s(9286) =< aux(543) s(9287) =< aux(543) s(9288) =< aux(543) s(9271) =< aux(543) s(9270) =< aux(543) s(9271) =< aux(545) s(9270) =< aux(545) s(9289) =< aux(546) s(9290) =< aux(546) s(9291) =< aux(546) s(9279) =< aux(547) s(9290) =< aux(548) s(9292) =< aux(549) s(9280) =< aux(549) s(9281) =< aux(549) s(9283) =< aux(549) s(9284) =< aux(549) s(9286) =< aux(549) s(9287) =< aux(549) s(9271) =< aux(549) s(9291) =< aux(552) s(9293) =< aux(553) s(9294) =< aux(554) s(9285) =< aux(555) s(9286) =< aux(555) s(9287) =< aux(555) s(9271) =< aux(555) s(9284) =< aux(556) s(9286) =< aux(556) s(9281) =< aux(557) s(9295) =< aux(544)+3 s(9296) =< aux(544)+4 s(9297) =< aux(544)+5 s(9298) =< aux(544)+1 s(9299) =< aux(544)+2 s(9300) =< aux(544)-2 s(9292) =< aux(545)*(1/3)+aux(549) s(9280) =< aux(545)*(1/3)+aux(549) s(9281) =< aux(545)*(1/3)+aux(549) s(9282) =< aux(545)*(1/3)+aux(549) s(9283) =< aux(545)*(1/3)+aux(549) s(9284) =< aux(545)*(1/3)+aux(549) s(9285) =< aux(545)*(1/3)+aux(549) s(9286) =< aux(545)*(1/3)+aux(549) s(9288) =< aux(545)*(1/3)+aux(549) s(9271) =< aux(545)*(1/3)+aux(549) s(9287) =< aux(545)*(1/3)+aux(549) s(9284) =< aux(545)*(3/7)+aux(556) s(9285) =< aux(545)*(3/7)+aux(556) s(9286) =< aux(545)*(3/7)+aux(556) s(9287) =< aux(545)*(3/7)+aux(556) s(9288) =< aux(545)*(3/7)+aux(556) s(9285) =< aux(545)*(1/5)+aux(555) s(9286) =< aux(545)*(1/5)+aux(555) s(9287) =< aux(545)*(1/5)+aux(555) s(9288) =< aux(545)*(1/5)+aux(555) s(9271) =< aux(545)*(1/5)+aux(555) s(9281) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9282) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9283) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9284) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9285) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9286) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9287) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9288) =< aux(545)*(5/9)+s(9270)*(1/9)+aux(557) s(9279) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9280) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9281) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9282) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9283) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9284) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9285) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9286) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9287) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9288) =< aux(545)*(2/3)+s(9270)*(1/3)+aux(547) s(9291) =< aux(545)*(7/20)+s(9270)*(1/20)+aux(552) s(9278) =< aux(545)*(7/20)+s(9270)*(1/20)+aux(552) s(9290) =< aux(545)*(3/8)+s(9270)*(1/8)+aux(548) s(9291) =< aux(545)*(3/8)+s(9270)*(1/8)+aux(548) s(9278) =< aux(545)*(3/8)+s(9270)*(1/8)+aux(548) s(9289) =< aux(545)*(1/4)+aux(546) s(9290) =< aux(545)*(1/4)+aux(546) s(9291) =< aux(545)*(1/4)+aux(546) s(9278) =< aux(545)*(1/4)+aux(546) s(9293) =< aux(545)*(5/13)+s(9270)*(2/13)+aux(553) s(9289) =< aux(545)*(5/13)+s(9270)*(2/13)+aux(553) s(9290) =< aux(545)*(5/13)+s(9270)*(2/13)+aux(553) s(9291) =< aux(545)*(5/13)+s(9270)*(2/13)+aux(553) s(9278) =< aux(545)*(5/13)+s(9270)*(2/13)+aux(553) s(9301) =< s(9288)*s(9295) s(9302) =< s(9288)*s(9296) s(9303) =< s(9288)*s(9297) s(9304) =< s(9287)*s(9296) s(9305) =< s(9284)*s(9298) s(9306) =< s(9284)*s(9296) s(9307) =< s(9283)*s(9299) s(9308) =< s(9281)*s(9298) s(9309) =< s(9280)*s(9299) s(9310) =< s(9279)*s(9299) s(9294) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9293) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9289) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9290) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9291) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9278) =< aux(545)*(13/32)+s(9271)*(1/32)+s(9270)*(7/32)+aux(554) s(9311) =< s(9278)*s(9295) s(9312) =< s(9278)*s(9297) s(9313) =< s(9291)*s(9300) s(9314) =< s(9290)*s(9298) s(9315) =< s(9293)*s(9300) s(9316) =< s(9294)*aux(544) s(9317) =< s(9301) s(9318) =< s(9303) s(9302) =< s(9303) s(9319) =< s(9292) s(9320) =< s(9304) s(9321) =< s(9306) s(9322) =< s(9310) s(9323) =< s(9312) s(9324) =< aux(543) s(9325) =< s(9311) s(9325) =< s(9312) s(9326) =< s(9312) s(9326) =< s(9311) s(9327) =< s(9326) s(9328) =< s(9311) s(9329) =< s(9314) s(9330) =< s(9315) s(9331) =< s(9316) s(9896) =< aux(559) with precondition: [V14=2,Out=0,V1>=0,V>=0] * Chain [95]: 35*s(10077)+15*s(10078)+5*s(10079)+15*s(10080)+10*s(10081)+5*s(10082)+15*s(10083)+5*s(10084)+15*s(10085)+25*s(10086)+25*s(10087)+5*s(10088)+25*s(10089)+25*s(10090)+25*s(10092)+25*s(10093)+20*s(10101)+5*s(10104)+5*s(10106)+5*s(10107)+5*s(10108)+5*s(10112)+50*s(10116)+90*s(10117)+15*s(10118)+70*s(10119)+30*s(10120)+35*s(10121)+80*s(10122)+55*s(10123)+20*s(10124)+10*s(10126)+270*s(10127)+35*s(10128)+10*s(10129)+40*s(10130)+63*s(10146)+27*s(10147)+9*s(10148)+27*s(10149)+18*s(10150)+9*s(10151)+27*s(10152)+9*s(10153)+27*s(10154)+45*s(10155)+45*s(10156)+9*s(10157)+45*s(10158)+45*s(10159)+45*s(10161)+45*s(10162)+36*s(10170)+9*s(10173)+9*s(10175)+9*s(10176)+9*s(10177)+9*s(10181)+90*s(10185)+162*s(10186)+27*s(10187)+126*s(10188)+54*s(10189)+63*s(10190)+144*s(10191)+99*s(10192)+36*s(10193)+18*s(10195)+486*s(10196)+63*s(10197)+18*s(10198)+72*s(10199)+49*s(10215)+21*s(10216)+7*s(10217)+21*s(10218)+14*s(10219)+7*s(10220)+21*s(10221)+7*s(10222)+21*s(10223)+35*s(10224)+35*s(10225)+7*s(10226)+35*s(10227)+35*s(10228)+35*s(10230)+35*s(10231)+28*s(10239)+7*s(10242)+7*s(10244)+7*s(10245)+7*s(10246)+7*s(10250)+70*s(10254)+126*s(10255)+21*s(10256)+98*s(10257)+42*s(10258)+49*s(10259)+112*s(10260)+77*s(10261)+28*s(10262)+14*s(10264)+378*s(10265)+49*s(10266)+14*s(10267)+56*s(10268)+31*s(10476)+1*s(11249)+2*s(11461)+5 Such that:aux(580) =< 1 aux(581) =< V1 aux(582) =< 2*V1 aux(583) =< 2*V1+1 aux(584) =< V1/2 aux(585) =< V1/3 aux(586) =< V1/4 aux(587) =< 2/3*V1 aux(588) =< 2/3*V1+1/3 aux(589) =< 2/5*V1+1/5 aux(590) =< 3/10*V1 aux(591) =< 3/13*V1 aux(592) =< 3/16*V1 aux(593) =< 4/5*V1 aux(594) =< 4/7*V1 aux(595) =< 4/9*V1 aux(596) =< V aux(597) =< 2*V aux(598) =< 2*V+1 aux(599) =< V/2 aux(600) =< V/3 aux(601) =< V/4 aux(602) =< 2/3*V aux(603) =< 2/3*V+1/3 aux(604) =< 2/5*V+1/5 aux(605) =< 3/10*V aux(606) =< 3/13*V aux(607) =< 3/16*V aux(608) =< 4/5*V aux(609) =< 4/7*V aux(610) =< 4/9*V aux(611) =< V14 aux(612) =< 2*V14 aux(613) =< 2*V14+1 aux(614) =< V14/2 aux(615) =< V14/3 aux(616) =< V14/4 aux(617) =< 2/3*V14 aux(618) =< 2/3*V14+1/3 aux(619) =< 2/5*V14+1/5 aux(620) =< 3/10*V14 aux(621) =< 3/13*V14 aux(622) =< 3/16*V14 aux(623) =< 4/5*V14 aux(624) =< 4/7*V14 aux(625) =< 4/9*V14 s(11461) =< aux(580) s(10069) =< aux(588) s(10070) =< aux(589) s(10138) =< aux(603) s(10139) =< aux(604) s(10207) =< aux(618) s(10208) =< aux(619) s(10146) =< aux(596) s(10147) =< aux(596) s(10148) =< aux(596) s(10149) =< aux(596) s(10150) =< aux(596) s(10151) =< aux(596) s(10152) =< aux(596) s(10153) =< aux(596) s(10154) =< aux(596) s(10155) =< aux(596) s(10156) =< aux(596) s(10139) =< aux(596) s(10138) =< aux(596) s(10139) =< aux(598) s(10138) =< aux(598) s(10157) =< aux(599) s(10158) =< aux(599) s(10159) =< aux(599) s(10147) =< aux(600) s(10158) =< aux(601) s(10160) =< aux(602) s(10148) =< aux(602) s(10149) =< aux(602) s(10151) =< aux(602) s(10152) =< aux(602) s(10154) =< aux(602) s(10155) =< aux(602) s(10139) =< aux(602) s(10159) =< aux(605) s(10161) =< aux(606) s(10162) =< aux(607) s(10153) =< aux(608) s(10154) =< aux(608) s(10155) =< aux(608) s(10139) =< aux(608) s(10152) =< aux(609) s(10154) =< aux(609) s(10149) =< aux(610) s(10163) =< aux(597)+3 s(10164) =< aux(597)+4 s(10165) =< aux(597)+5 s(10166) =< aux(597)+1 s(10167) =< aux(597)+2 s(10168) =< aux(597)-2 s(10160) =< aux(598)*(1/3)+aux(602) s(10148) =< aux(598)*(1/3)+aux(602) s(10149) =< aux(598)*(1/3)+aux(602) s(10150) =< aux(598)*(1/3)+aux(602) s(10151) =< aux(598)*(1/3)+aux(602) s(10152) =< aux(598)*(1/3)+aux(602) s(10153) =< aux(598)*(1/3)+aux(602) s(10154) =< aux(598)*(1/3)+aux(602) s(10156) =< aux(598)*(1/3)+aux(602) s(10139) =< aux(598)*(1/3)+aux(602) s(10155) =< aux(598)*(1/3)+aux(602) s(10152) =< aux(598)*(3/7)+aux(609) s(10153) =< aux(598)*(3/7)+aux(609) s(10154) =< aux(598)*(3/7)+aux(609) s(10155) =< aux(598)*(3/7)+aux(609) s(10156) =< aux(598)*(3/7)+aux(609) s(10153) =< aux(598)*(1/5)+aux(608) s(10154) =< aux(598)*(1/5)+aux(608) s(10155) =< aux(598)*(1/5)+aux(608) s(10156) =< aux(598)*(1/5)+aux(608) s(10139) =< aux(598)*(1/5)+aux(608) s(10149) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10150) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10151) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10152) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10153) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10154) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10155) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10156) =< aux(598)*(5/9)+s(10138)*(1/9)+aux(610) s(10147) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10148) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10149) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10150) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10151) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10152) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10153) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10154) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10155) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10156) =< aux(598)*(2/3)+s(10138)*(1/3)+aux(600) s(10159) =< aux(598)*(7/20)+s(10138)*(1/20)+aux(605) s(10146) =< aux(598)*(7/20)+s(10138)*(1/20)+aux(605) s(10158) =< aux(598)*(3/8)+s(10138)*(1/8)+aux(601) s(10159) =< aux(598)*(3/8)+s(10138)*(1/8)+aux(601) s(10146) =< aux(598)*(3/8)+s(10138)*(1/8)+aux(601) s(10157) =< aux(598)*(1/4)+aux(599) s(10158) =< aux(598)*(1/4)+aux(599) s(10159) =< aux(598)*(1/4)+aux(599) s(10146) =< aux(598)*(1/4)+aux(599) s(10161) =< aux(598)*(5/13)+s(10138)*(2/13)+aux(606) s(10157) =< aux(598)*(5/13)+s(10138)*(2/13)+aux(606) s(10158) =< aux(598)*(5/13)+s(10138)*(2/13)+aux(606) s(10159) =< aux(598)*(5/13)+s(10138)*(2/13)+aux(606) s(10146) =< aux(598)*(5/13)+s(10138)*(2/13)+aux(606) s(10169) =< s(10156)*s(10163) s(10170) =< s(10156)*s(10164) s(10171) =< s(10156)*s(10165) s(10172) =< s(10155)*s(10164) s(10173) =< s(10152)*s(10166) s(10174) =< s(10152)*s(10164) s(10175) =< s(10151)*s(10167) s(10176) =< s(10149)*s(10166) s(10177) =< s(10148)*s(10167) s(10178) =< s(10147)*s(10167) s(10162) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10161) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10157) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10158) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10159) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10146) =< aux(598)*(13/32)+s(10139)*(1/32)+s(10138)*(7/32)+aux(607) s(10179) =< s(10146)*s(10163) s(10180) =< s(10146)*s(10165) s(10181) =< s(10159)*s(10168) s(10182) =< s(10158)*s(10166) s(10183) =< s(10161)*s(10168) s(10184) =< s(10162)*aux(597) s(10185) =< s(10169) s(10186) =< s(10171) s(10170) =< s(10171) s(10187) =< s(10160) s(10188) =< s(10172) s(10189) =< s(10174) s(10190) =< s(10178) s(10191) =< s(10180) s(10192) =< aux(596) s(10193) =< s(10179) s(10193) =< s(10180) s(10194) =< s(10180) s(10194) =< s(10179) s(10195) =< s(10194) s(10196) =< s(10179) s(10197) =< s(10182) s(10198) =< s(10183) s(10199) =< s(10184) s(10476) =< aux(597) s(10215) =< aux(611) s(10216) =< aux(611) s(10217) =< aux(611) s(10218) =< aux(611) s(10219) =< aux(611) s(10220) =< aux(611) s(10221) =< aux(611) s(10222) =< aux(611) s(10223) =< aux(611) s(10224) =< aux(611) s(10225) =< aux(611) s(10208) =< aux(611) s(10207) =< aux(611) s(10208) =< aux(613) s(10207) =< aux(613) s(10226) =< aux(614) s(10227) =< aux(614) s(10228) =< aux(614) s(10216) =< aux(615) s(10227) =< aux(616) s(10229) =< aux(617) s(10217) =< aux(617) s(10218) =< aux(617) s(10220) =< aux(617) s(10221) =< aux(617) s(10223) =< aux(617) s(10224) =< aux(617) s(10208) =< aux(617) s(10228) =< aux(620) s(10230) =< aux(621) s(10231) =< aux(622) s(10222) =< aux(623) s(10223) =< aux(623) s(10224) =< aux(623) s(10208) =< aux(623) s(10221) =< aux(624) s(10223) =< aux(624) s(10218) =< aux(625) s(10232) =< aux(612)+3 s(10233) =< aux(612)+4 s(10234) =< aux(612)+5 s(10235) =< aux(612)+1 s(10236) =< aux(612)+2 s(10237) =< aux(612)-2 s(10229) =< aux(613)*(1/3)+aux(617) s(10217) =< aux(613)*(1/3)+aux(617) s(10218) =< aux(613)*(1/3)+aux(617) s(10219) =< aux(613)*(1/3)+aux(617) s(10220) =< aux(613)*(1/3)+aux(617) s(10221) =< aux(613)*(1/3)+aux(617) s(10222) =< aux(613)*(1/3)+aux(617) s(10223) =< aux(613)*(1/3)+aux(617) s(10225) =< aux(613)*(1/3)+aux(617) s(10208) =< aux(613)*(1/3)+aux(617) s(10224) =< aux(613)*(1/3)+aux(617) s(10221) =< aux(613)*(3/7)+aux(624) s(10222) =< aux(613)*(3/7)+aux(624) s(10223) =< aux(613)*(3/7)+aux(624) s(10224) =< aux(613)*(3/7)+aux(624) s(10225) =< aux(613)*(3/7)+aux(624) s(10222) =< aux(613)*(1/5)+aux(623) s(10223) =< aux(613)*(1/5)+aux(623) s(10224) =< aux(613)*(1/5)+aux(623) s(10225) =< aux(613)*(1/5)+aux(623) s(10208) =< aux(613)*(1/5)+aux(623) s(10218) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10219) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10220) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10221) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10222) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10223) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10224) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10225) =< aux(613)*(5/9)+s(10207)*(1/9)+aux(625) s(10216) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10217) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10218) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10219) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10220) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10221) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10222) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10223) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10224) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10225) =< aux(613)*(2/3)+s(10207)*(1/3)+aux(615) s(10228) =< aux(613)*(7/20)+s(10207)*(1/20)+aux(620) s(10215) =< aux(613)*(7/20)+s(10207)*(1/20)+aux(620) s(10227) =< aux(613)*(3/8)+s(10207)*(1/8)+aux(616) s(10228) =< aux(613)*(3/8)+s(10207)*(1/8)+aux(616) s(10215) =< aux(613)*(3/8)+s(10207)*(1/8)+aux(616) s(10226) =< aux(613)*(1/4)+aux(614) s(10227) =< aux(613)*(1/4)+aux(614) s(10228) =< aux(613)*(1/4)+aux(614) s(10215) =< aux(613)*(1/4)+aux(614) s(10230) =< aux(613)*(5/13)+s(10207)*(2/13)+aux(621) s(10226) =< aux(613)*(5/13)+s(10207)*(2/13)+aux(621) s(10227) =< aux(613)*(5/13)+s(10207)*(2/13)+aux(621) s(10228) =< aux(613)*(5/13)+s(10207)*(2/13)+aux(621) s(10215) =< aux(613)*(5/13)+s(10207)*(2/13)+aux(621) s(10238) =< s(10225)*s(10232) s(10239) =< s(10225)*s(10233) s(10240) =< s(10225)*s(10234) s(10241) =< s(10224)*s(10233) s(10242) =< s(10221)*s(10235) s(10243) =< s(10221)*s(10233) s(10244) =< s(10220)*s(10236) s(10245) =< s(10218)*s(10235) s(10246) =< s(10217)*s(10236) s(10247) =< s(10216)*s(10236) s(10231) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10230) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10226) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10227) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10228) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10215) =< aux(613)*(13/32)+s(10208)*(1/32)+s(10207)*(7/32)+aux(622) s(10248) =< s(10215)*s(10232) s(10249) =< s(10215)*s(10234) s(10250) =< s(10228)*s(10237) s(10251) =< s(10227)*s(10235) s(10252) =< s(10230)*s(10237) s(10253) =< s(10231)*aux(612) s(10254) =< s(10238) s(10255) =< s(10240) s(10239) =< s(10240) s(10256) =< s(10229) s(10257) =< s(10241) s(10258) =< s(10243) s(10259) =< s(10247) s(10260) =< s(10249) s(10261) =< aux(611) s(10262) =< s(10248) s(10262) =< s(10249) s(10263) =< s(10249) s(10263) =< s(10248) s(10264) =< s(10263) s(10265) =< s(10248) s(10266) =< s(10251) s(10267) =< s(10252) s(10268) =< s(10253) s(10077) =< aux(581) s(10078) =< aux(581) s(10079) =< aux(581) s(10080) =< aux(581) s(10081) =< aux(581) s(10082) =< aux(581) s(10083) =< aux(581) s(10084) =< aux(581) s(10085) =< aux(581) s(10086) =< aux(581) s(10087) =< aux(581) s(10070) =< aux(581) s(10069) =< aux(581) s(10070) =< aux(583) s(10069) =< aux(583) s(10088) =< aux(584) s(10089) =< aux(584) s(10090) =< aux(584) s(10078) =< aux(585) s(10089) =< aux(586) s(10091) =< aux(587) s(10079) =< aux(587) s(10080) =< aux(587) s(10082) =< aux(587) s(10083) =< aux(587) s(10085) =< aux(587) s(10086) =< aux(587) s(10070) =< aux(587) s(10090) =< aux(590) s(10092) =< aux(591) s(10093) =< aux(592) s(10084) =< aux(593) s(10085) =< aux(593) s(10086) =< aux(593) s(10070) =< aux(593) s(10083) =< aux(594) s(10085) =< aux(594) s(10080) =< aux(595) s(10094) =< aux(582)+3 s(10095) =< aux(582)+4 s(10096) =< aux(582)+5 s(10097) =< aux(582)+1 s(10098) =< aux(582)+2 s(10099) =< aux(582)-2 s(10091) =< aux(583)*(1/3)+aux(587) s(10079) =< aux(583)*(1/3)+aux(587) s(10080) =< aux(583)*(1/3)+aux(587) s(10081) =< aux(583)*(1/3)+aux(587) s(10082) =< aux(583)*(1/3)+aux(587) s(10083) =< aux(583)*(1/3)+aux(587) s(10084) =< aux(583)*(1/3)+aux(587) s(10085) =< aux(583)*(1/3)+aux(587) s(10087) =< aux(583)*(1/3)+aux(587) s(10070) =< aux(583)*(1/3)+aux(587) s(10086) =< aux(583)*(1/3)+aux(587) s(10083) =< aux(583)*(3/7)+aux(594) s(10084) =< aux(583)*(3/7)+aux(594) s(10085) =< aux(583)*(3/7)+aux(594) s(10086) =< aux(583)*(3/7)+aux(594) s(10087) =< aux(583)*(3/7)+aux(594) s(10084) =< aux(583)*(1/5)+aux(593) s(10085) =< aux(583)*(1/5)+aux(593) s(10086) =< aux(583)*(1/5)+aux(593) s(10087) =< aux(583)*(1/5)+aux(593) s(10070) =< aux(583)*(1/5)+aux(593) s(10080) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10081) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10082) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10083) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10084) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10085) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10086) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10087) =< aux(583)*(5/9)+s(10069)*(1/9)+aux(595) s(10078) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10079) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10080) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10081) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10082) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10083) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10084) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10085) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10086) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10087) =< aux(583)*(2/3)+s(10069)*(1/3)+aux(585) s(10090) =< aux(583)*(7/20)+s(10069)*(1/20)+aux(590) s(10077) =< aux(583)*(7/20)+s(10069)*(1/20)+aux(590) s(10089) =< aux(583)*(3/8)+s(10069)*(1/8)+aux(586) s(10090) =< aux(583)*(3/8)+s(10069)*(1/8)+aux(586) s(10077) =< aux(583)*(3/8)+s(10069)*(1/8)+aux(586) s(10088) =< aux(583)*(1/4)+aux(584) s(10089) =< aux(583)*(1/4)+aux(584) s(10090) =< aux(583)*(1/4)+aux(584) s(10077) =< aux(583)*(1/4)+aux(584) s(10092) =< aux(583)*(5/13)+s(10069)*(2/13)+aux(591) s(10088) =< aux(583)*(5/13)+s(10069)*(2/13)+aux(591) s(10089) =< aux(583)*(5/13)+s(10069)*(2/13)+aux(591) s(10090) =< aux(583)*(5/13)+s(10069)*(2/13)+aux(591) s(10077) =< aux(583)*(5/13)+s(10069)*(2/13)+aux(591) s(10100) =< s(10087)*s(10094) s(10101) =< s(10087)*s(10095) s(10102) =< s(10087)*s(10096) s(10103) =< s(10086)*s(10095) s(10104) =< s(10083)*s(10097) s(10105) =< s(10083)*s(10095) s(10106) =< s(10082)*s(10098) s(10107) =< s(10080)*s(10097) s(10108) =< s(10079)*s(10098) s(10109) =< s(10078)*s(10098) s(10093) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10092) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10088) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10089) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10090) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10077) =< aux(583)*(13/32)+s(10070)*(1/32)+s(10069)*(7/32)+aux(592) s(10110) =< s(10077)*s(10094) s(10111) =< s(10077)*s(10096) s(10112) =< s(10090)*s(10099) s(10113) =< s(10089)*s(10097) s(10114) =< s(10092)*s(10099) s(10115) =< s(10093)*aux(582) s(10116) =< s(10100) s(10117) =< s(10102) s(10101) =< s(10102) s(10118) =< s(10091) s(10119) =< s(10103) s(10120) =< s(10105) s(10121) =< s(10109) s(10122) =< s(10111) s(10123) =< aux(581) s(10124) =< s(10110) s(10124) =< s(10111) s(10125) =< s(10111) s(10125) =< s(10110) s(10126) =< s(10125) s(10127) =< s(10110) s(10128) =< s(10113) s(10129) =< s(10114) s(10130) =< s(10115) s(11249) =< aux(612) with precondition: [V1>=1,V>=1,V14>=1,Out>=1,2*V>=Out] * Chain [94]: 14*s(11550)+6*s(11551)+2*s(11552)+6*s(11553)+4*s(11554)+2*s(11555)+6*s(11556)+2*s(11557)+6*s(11558)+10*s(11559)+10*s(11560)+2*s(11561)+10*s(11562)+10*s(11563)+10*s(11565)+10*s(11566)+8*s(11574)+2*s(11577)+2*s(11579)+2*s(11580)+2*s(11581)+2*s(11585)+20*s(11589)+36*s(11590)+6*s(11591)+28*s(11592)+12*s(11593)+14*s(11594)+32*s(11595)+22*s(11596)+8*s(11597)+4*s(11599)+108*s(11600)+14*s(11601)+4*s(11602)+16*s(11603)+14*s(11619)+6*s(11620)+2*s(11621)+6*s(11622)+4*s(11623)+2*s(11624)+6*s(11625)+2*s(11626)+6*s(11627)+10*s(11628)+10*s(11629)+2*s(11630)+10*s(11631)+10*s(11632)+10*s(11634)+10*s(11635)+8*s(11643)+2*s(11646)+2*s(11648)+2*s(11649)+2*s(11650)+2*s(11654)+20*s(11658)+36*s(11659)+6*s(11660)+28*s(11661)+12*s(11662)+14*s(11663)+32*s(11664)+22*s(11665)+8*s(11666)+4*s(11668)+108*s(11669)+14*s(11670)+4*s(11671)+16*s(11672)+10*s(11673)+5 Such that:aux(628) =< V aux(629) =< 2*V aux(630) =< 2*V+1 aux(631) =< V/2 aux(632) =< V/3 aux(633) =< V/4 aux(634) =< 2/3*V aux(635) =< 2/3*V+1/3 aux(636) =< 2/5*V+1/5 aux(637) =< 3/10*V aux(638) =< 3/13*V aux(639) =< 3/16*V aux(640) =< 4/5*V aux(641) =< 4/7*V aux(642) =< 4/9*V aux(643) =< V14 aux(644) =< 2*V14 aux(645) =< 2*V14+1 aux(646) =< V14/2 aux(647) =< V14/3 aux(648) =< V14/4 aux(649) =< 2/3*V14 aux(650) =< 2/3*V14+1/3 aux(651) =< 2/5*V14+1/5 aux(652) =< 3/10*V14 aux(653) =< 3/13*V14 aux(654) =< 3/16*V14 aux(655) =< 4/5*V14 aux(656) =< 4/7*V14 aux(657) =< 4/9*V14 s(11542) =< aux(635) s(11543) =< aux(636) s(11611) =< aux(650) s(11612) =< aux(651) s(11673) =< aux(629) s(11619) =< aux(643) s(11620) =< aux(643) s(11621) =< aux(643) s(11622) =< aux(643) s(11623) =< aux(643) s(11624) =< aux(643) s(11625) =< aux(643) s(11626) =< aux(643) s(11627) =< aux(643) s(11628) =< aux(643) s(11629) =< aux(643) s(11612) =< aux(643) s(11611) =< aux(643) s(11612) =< aux(645) s(11611) =< aux(645) s(11630) =< aux(646) s(11631) =< aux(646) s(11632) =< aux(646) s(11620) =< aux(647) s(11631) =< aux(648) s(11633) =< aux(649) s(11621) =< aux(649) s(11622) =< aux(649) s(11624) =< aux(649) s(11625) =< aux(649) s(11627) =< aux(649) s(11628) =< aux(649) s(11612) =< aux(649) s(11632) =< aux(652) s(11634) =< aux(653) s(11635) =< aux(654) s(11626) =< aux(655) s(11627) =< aux(655) s(11628) =< aux(655) s(11612) =< aux(655) s(11625) =< aux(656) s(11627) =< aux(656) s(11622) =< aux(657) s(11636) =< aux(644)+3 s(11637) =< aux(644)+4 s(11638) =< aux(644)+5 s(11639) =< aux(644)+1 s(11640) =< aux(644)+2 s(11641) =< aux(644)-2 s(11633) =< aux(645)*(1/3)+aux(649) s(11621) =< aux(645)*(1/3)+aux(649) s(11622) =< aux(645)*(1/3)+aux(649) s(11623) =< aux(645)*(1/3)+aux(649) s(11624) =< aux(645)*(1/3)+aux(649) s(11625) =< aux(645)*(1/3)+aux(649) s(11626) =< aux(645)*(1/3)+aux(649) s(11627) =< aux(645)*(1/3)+aux(649) s(11629) =< aux(645)*(1/3)+aux(649) s(11612) =< aux(645)*(1/3)+aux(649) s(11628) =< aux(645)*(1/3)+aux(649) s(11625) =< aux(645)*(3/7)+aux(656) s(11626) =< aux(645)*(3/7)+aux(656) s(11627) =< aux(645)*(3/7)+aux(656) s(11628) =< aux(645)*(3/7)+aux(656) s(11629) =< aux(645)*(3/7)+aux(656) s(11626) =< aux(645)*(1/5)+aux(655) s(11627) =< aux(645)*(1/5)+aux(655) s(11628) =< aux(645)*(1/5)+aux(655) s(11629) =< aux(645)*(1/5)+aux(655) s(11612) =< aux(645)*(1/5)+aux(655) s(11622) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11623) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11624) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11625) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11626) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11627) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11628) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11629) =< aux(645)*(5/9)+s(11611)*(1/9)+aux(657) s(11620) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11621) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11622) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11623) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11624) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11625) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11626) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11627) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11628) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11629) =< aux(645)*(2/3)+s(11611)*(1/3)+aux(647) s(11632) =< aux(645)*(7/20)+s(11611)*(1/20)+aux(652) s(11619) =< aux(645)*(7/20)+s(11611)*(1/20)+aux(652) s(11631) =< aux(645)*(3/8)+s(11611)*(1/8)+aux(648) s(11632) =< aux(645)*(3/8)+s(11611)*(1/8)+aux(648) s(11619) =< aux(645)*(3/8)+s(11611)*(1/8)+aux(648) s(11630) =< aux(645)*(1/4)+aux(646) s(11631) =< aux(645)*(1/4)+aux(646) s(11632) =< aux(645)*(1/4)+aux(646) s(11619) =< aux(645)*(1/4)+aux(646) s(11634) =< aux(645)*(5/13)+s(11611)*(2/13)+aux(653) s(11630) =< aux(645)*(5/13)+s(11611)*(2/13)+aux(653) s(11631) =< aux(645)*(5/13)+s(11611)*(2/13)+aux(653) s(11632) =< aux(645)*(5/13)+s(11611)*(2/13)+aux(653) s(11619) =< aux(645)*(5/13)+s(11611)*(2/13)+aux(653) s(11642) =< s(11629)*s(11636) s(11643) =< s(11629)*s(11637) s(11644) =< s(11629)*s(11638) s(11645) =< s(11628)*s(11637) s(11646) =< s(11625)*s(11639) s(11647) =< s(11625)*s(11637) s(11648) =< s(11624)*s(11640) s(11649) =< s(11622)*s(11639) s(11650) =< s(11621)*s(11640) s(11651) =< s(11620)*s(11640) s(11635) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11634) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11630) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11631) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11632) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11619) =< aux(645)*(13/32)+s(11612)*(1/32)+s(11611)*(7/32)+aux(654) s(11652) =< s(11619)*s(11636) s(11653) =< s(11619)*s(11638) s(11654) =< s(11632)*s(11641) s(11655) =< s(11631)*s(11639) s(11656) =< s(11634)*s(11641) s(11657) =< s(11635)*aux(644) s(11658) =< s(11642) s(11659) =< s(11644) s(11643) =< s(11644) s(11660) =< s(11633) s(11661) =< s(11645) s(11662) =< s(11647) s(11663) =< s(11651) s(11664) =< s(11653) s(11665) =< aux(643) s(11666) =< s(11652) s(11666) =< s(11653) s(11667) =< s(11653) s(11667) =< s(11652) s(11668) =< s(11667) s(11669) =< s(11652) s(11670) =< s(11655) s(11671) =< s(11656) s(11672) =< s(11657) s(11550) =< aux(628) s(11551) =< aux(628) s(11552) =< aux(628) s(11553) =< aux(628) s(11554) =< aux(628) s(11555) =< aux(628) s(11556) =< aux(628) s(11557) =< aux(628) s(11558) =< aux(628) s(11559) =< aux(628) s(11560) =< aux(628) s(11543) =< aux(628) s(11542) =< aux(628) s(11543) =< aux(630) s(11542) =< aux(630) s(11561) =< aux(631) s(11562) =< aux(631) s(11563) =< aux(631) s(11551) =< aux(632) s(11562) =< aux(633) s(11564) =< aux(634) s(11552) =< aux(634) s(11553) =< aux(634) s(11555) =< aux(634) s(11556) =< aux(634) s(11558) =< aux(634) s(11559) =< aux(634) s(11543) =< aux(634) s(11563) =< aux(637) s(11565) =< aux(638) s(11566) =< aux(639) s(11557) =< aux(640) s(11558) =< aux(640) s(11559) =< aux(640) s(11543) =< aux(640) s(11556) =< aux(641) s(11558) =< aux(641) s(11553) =< aux(642) s(11567) =< aux(629)+3 s(11568) =< aux(629)+4 s(11569) =< aux(629)+5 s(11570) =< aux(629)+1 s(11571) =< aux(629)+2 s(11572) =< aux(629)-2 s(11564) =< aux(630)*(1/3)+aux(634) s(11552) =< aux(630)*(1/3)+aux(634) s(11553) =< aux(630)*(1/3)+aux(634) s(11554) =< aux(630)*(1/3)+aux(634) s(11555) =< aux(630)*(1/3)+aux(634) s(11556) =< aux(630)*(1/3)+aux(634) s(11557) =< aux(630)*(1/3)+aux(634) s(11558) =< aux(630)*(1/3)+aux(634) s(11560) =< aux(630)*(1/3)+aux(634) s(11543) =< aux(630)*(1/3)+aux(634) s(11559) =< aux(630)*(1/3)+aux(634) s(11556) =< aux(630)*(3/7)+aux(641) s(11557) =< aux(630)*(3/7)+aux(641) s(11558) =< aux(630)*(3/7)+aux(641) s(11559) =< aux(630)*(3/7)+aux(641) s(11560) =< aux(630)*(3/7)+aux(641) s(11557) =< aux(630)*(1/5)+aux(640) s(11558) =< aux(630)*(1/5)+aux(640) s(11559) =< aux(630)*(1/5)+aux(640) s(11560) =< aux(630)*(1/5)+aux(640) s(11543) =< aux(630)*(1/5)+aux(640) s(11553) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11554) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11555) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11556) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11557) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11558) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11559) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11560) =< aux(630)*(5/9)+s(11542)*(1/9)+aux(642) s(11551) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11552) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11553) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11554) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11555) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11556) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11557) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11558) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11559) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11560) =< aux(630)*(2/3)+s(11542)*(1/3)+aux(632) s(11563) =< aux(630)*(7/20)+s(11542)*(1/20)+aux(637) s(11550) =< aux(630)*(7/20)+s(11542)*(1/20)+aux(637) s(11562) =< aux(630)*(3/8)+s(11542)*(1/8)+aux(633) s(11563) =< aux(630)*(3/8)+s(11542)*(1/8)+aux(633) s(11550) =< aux(630)*(3/8)+s(11542)*(1/8)+aux(633) s(11561) =< aux(630)*(1/4)+aux(631) s(11562) =< aux(630)*(1/4)+aux(631) s(11563) =< aux(630)*(1/4)+aux(631) s(11550) =< aux(630)*(1/4)+aux(631) s(11565) =< aux(630)*(5/13)+s(11542)*(2/13)+aux(638) s(11561) =< aux(630)*(5/13)+s(11542)*(2/13)+aux(638) s(11562) =< aux(630)*(5/13)+s(11542)*(2/13)+aux(638) s(11563) =< aux(630)*(5/13)+s(11542)*(2/13)+aux(638) s(11550) =< aux(630)*(5/13)+s(11542)*(2/13)+aux(638) s(11573) =< s(11560)*s(11567) s(11574) =< s(11560)*s(11568) s(11575) =< s(11560)*s(11569) s(11576) =< s(11559)*s(11568) s(11577) =< s(11556)*s(11570) s(11578) =< s(11556)*s(11568) s(11579) =< s(11555)*s(11571) s(11580) =< s(11553)*s(11570) s(11581) =< s(11552)*s(11571) s(11582) =< s(11551)*s(11571) s(11566) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11565) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11561) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11562) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11563) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11550) =< aux(630)*(13/32)+s(11543)*(1/32)+s(11542)*(7/32)+aux(639) s(11583) =< s(11550)*s(11567) s(11584) =< s(11550)*s(11569) s(11585) =< s(11563)*s(11572) s(11586) =< s(11562)*s(11570) s(11587) =< s(11565)*s(11572) s(11588) =< s(11566)*aux(629) s(11589) =< s(11573) s(11590) =< s(11575) s(11574) =< s(11575) s(11591) =< s(11564) s(11592) =< s(11576) s(11593) =< s(11578) s(11594) =< s(11582) s(11595) =< s(11584) s(11596) =< aux(628) s(11597) =< s(11583) s(11597) =< s(11584) s(11598) =< s(11584) s(11598) =< s(11583) s(11599) =< s(11598) s(11600) =< s(11583) s(11601) =< s(11586) s(11602) =< s(11587) s(11603) =< s(11588) with precondition: [V1=2,Out>=2,2*V>=2*Out+1,2*V14>=Out+1] * Chain [93]: 63*s(11835)+27*s(11836)+9*s(11837)+27*s(11838)+18*s(11839)+9*s(11840)+27*s(11841)+9*s(11842)+27*s(11843)+45*s(11844)+45*s(11845)+9*s(11846)+45*s(11847)+45*s(11848)+45*s(11850)+45*s(11851)+36*s(11859)+9*s(11862)+9*s(11864)+9*s(11865)+9*s(11866)+9*s(11870)+90*s(11874)+162*s(11875)+27*s(11876)+126*s(11877)+54*s(11878)+63*s(11879)+144*s(11880)+99*s(11881)+36*s(11882)+18*s(11884)+486*s(11885)+63*s(11886)+18*s(11887)+72*s(11888)+42*s(11904)+18*s(11905)+6*s(11906)+18*s(11907)+12*s(11908)+6*s(11909)+18*s(11910)+6*s(11911)+18*s(11912)+30*s(11913)+30*s(11914)+6*s(11915)+30*s(11916)+30*s(11917)+30*s(11919)+30*s(11920)+24*s(11928)+6*s(11931)+6*s(11933)+6*s(11934)+6*s(11935)+6*s(11939)+60*s(11943)+108*s(11944)+18*s(11945)+84*s(11946)+36*s(11947)+42*s(11948)+96*s(11949)+66*s(11950)+24*s(11951)+12*s(11953)+324*s(11954)+42*s(11955)+12*s(11956)+48*s(11957)+44*s(12304)+9*s(12592)+24*s(12745)+7 Such that:aux(665) =< 1 aux(666) =< 2 aux(667) =< V1 aux(668) =< 2*V1 aux(669) =< 2*V1+1 aux(670) =< V1/2 aux(671) =< V1/3 aux(672) =< V1/4 aux(673) =< 2/3*V1 aux(674) =< 2/3*V1+1/3 aux(675) =< 2/5*V1+1/5 aux(676) =< 3/10*V1 aux(677) =< 3/13*V1 aux(678) =< 3/16*V1 aux(679) =< 4/5*V1 aux(680) =< 4/7*V1 aux(681) =< 4/9*V1 aux(682) =< V14 aux(683) =< 2*V14 aux(684) =< 2*V14+1 aux(685) =< V14/2 aux(686) =< V14/3 aux(687) =< V14/4 aux(688) =< 2/3*V14 aux(689) =< 2/3*V14+1/3 aux(690) =< 2/5*V14+1/5 aux(691) =< 3/10*V14 aux(692) =< 3/13*V14 aux(693) =< 3/16*V14 aux(694) =< 4/5*V14 aux(695) =< 4/7*V14 aux(696) =< 4/9*V14 s(12304) =< aux(665) s(11827) =< aux(674) s(11828) =< aux(675) s(11896) =< aux(689) s(11897) =< aux(690) s(12745) =< aux(666) s(11904) =< aux(682) s(11905) =< aux(682) s(11906) =< aux(682) s(11907) =< aux(682) s(11908) =< aux(682) s(11909) =< aux(682) s(11910) =< aux(682) s(11911) =< aux(682) s(11912) =< aux(682) s(11913) =< aux(682) s(11914) =< aux(682) s(11897) =< aux(682) s(11896) =< aux(682) s(11897) =< aux(684) s(11896) =< aux(684) s(11915) =< aux(685) s(11916) =< aux(685) s(11917) =< aux(685) s(11905) =< aux(686) s(11916) =< aux(687) s(11918) =< aux(688) s(11906) =< aux(688) s(11907) =< aux(688) s(11909) =< aux(688) s(11910) =< aux(688) s(11912) =< aux(688) s(11913) =< aux(688) s(11897) =< aux(688) s(11917) =< aux(691) s(11919) =< aux(692) s(11920) =< aux(693) s(11911) =< aux(694) s(11912) =< aux(694) s(11913) =< aux(694) s(11897) =< aux(694) s(11910) =< aux(695) s(11912) =< aux(695) s(11907) =< aux(696) s(11921) =< aux(683)+3 s(11922) =< aux(683)+4 s(11923) =< aux(683)+5 s(11924) =< aux(683)+1 s(11925) =< aux(683)+2 s(11926) =< aux(683)-2 s(11918) =< aux(684)*(1/3)+aux(688) s(11906) =< aux(684)*(1/3)+aux(688) s(11907) =< aux(684)*(1/3)+aux(688) s(11908) =< aux(684)*(1/3)+aux(688) s(11909) =< aux(684)*(1/3)+aux(688) s(11910) =< aux(684)*(1/3)+aux(688) s(11911) =< aux(684)*(1/3)+aux(688) s(11912) =< aux(684)*(1/3)+aux(688) s(11914) =< aux(684)*(1/3)+aux(688) s(11897) =< aux(684)*(1/3)+aux(688) s(11913) =< aux(684)*(1/3)+aux(688) s(11910) =< aux(684)*(3/7)+aux(695) s(11911) =< aux(684)*(3/7)+aux(695) s(11912) =< aux(684)*(3/7)+aux(695) s(11913) =< aux(684)*(3/7)+aux(695) s(11914) =< aux(684)*(3/7)+aux(695) s(11911) =< aux(684)*(1/5)+aux(694) s(11912) =< aux(684)*(1/5)+aux(694) s(11913) =< aux(684)*(1/5)+aux(694) s(11914) =< aux(684)*(1/5)+aux(694) s(11897) =< aux(684)*(1/5)+aux(694) s(11907) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11908) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11909) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11910) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11911) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11912) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11913) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11914) =< aux(684)*(5/9)+s(11896)*(1/9)+aux(696) s(11905) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11906) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11907) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11908) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11909) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11910) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11911) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11912) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11913) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11914) =< aux(684)*(2/3)+s(11896)*(1/3)+aux(686) s(11917) =< aux(684)*(7/20)+s(11896)*(1/20)+aux(691) s(11904) =< aux(684)*(7/20)+s(11896)*(1/20)+aux(691) s(11916) =< aux(684)*(3/8)+s(11896)*(1/8)+aux(687) s(11917) =< aux(684)*(3/8)+s(11896)*(1/8)+aux(687) s(11904) =< aux(684)*(3/8)+s(11896)*(1/8)+aux(687) s(11915) =< aux(684)*(1/4)+aux(685) s(11916) =< aux(684)*(1/4)+aux(685) s(11917) =< aux(684)*(1/4)+aux(685) s(11904) =< aux(684)*(1/4)+aux(685) s(11919) =< aux(684)*(5/13)+s(11896)*(2/13)+aux(692) s(11915) =< aux(684)*(5/13)+s(11896)*(2/13)+aux(692) s(11916) =< aux(684)*(5/13)+s(11896)*(2/13)+aux(692) s(11917) =< aux(684)*(5/13)+s(11896)*(2/13)+aux(692) s(11904) =< aux(684)*(5/13)+s(11896)*(2/13)+aux(692) s(11927) =< s(11914)*s(11921) s(11928) =< s(11914)*s(11922) s(11929) =< s(11914)*s(11923) s(11930) =< s(11913)*s(11922) s(11931) =< s(11910)*s(11924) s(11932) =< s(11910)*s(11922) s(11933) =< s(11909)*s(11925) s(11934) =< s(11907)*s(11924) s(11935) =< s(11906)*s(11925) s(11936) =< s(11905)*s(11925) s(11920) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11919) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11915) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11916) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11917) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11904) =< aux(684)*(13/32)+s(11897)*(1/32)+s(11896)*(7/32)+aux(693) s(11937) =< s(11904)*s(11921) s(11938) =< s(11904)*s(11923) s(11939) =< s(11917)*s(11926) s(11940) =< s(11916)*s(11924) s(11941) =< s(11919)*s(11926) s(11942) =< s(11920)*aux(683) s(11943) =< s(11927) s(11944) =< s(11929) s(11928) =< s(11929) s(11945) =< s(11918) s(11946) =< s(11930) s(11947) =< s(11932) s(11948) =< s(11936) s(11949) =< s(11938) s(11950) =< aux(682) s(11951) =< s(11937) s(11951) =< s(11938) s(11952) =< s(11938) s(11952) =< s(11937) s(11953) =< s(11952) s(11954) =< s(11937) s(11955) =< s(11940) s(11956) =< s(11941) s(11957) =< s(11942) s(11835) =< aux(667) s(11836) =< aux(667) s(11837) =< aux(667) s(11838) =< aux(667) s(11839) =< aux(667) s(11840) =< aux(667) s(11841) =< aux(667) s(11842) =< aux(667) s(11843) =< aux(667) s(11844) =< aux(667) s(11845) =< aux(667) s(11828) =< aux(667) s(11827) =< aux(667) s(11828) =< aux(669) s(11827) =< aux(669) s(11846) =< aux(670) s(11847) =< aux(670) s(11848) =< aux(670) s(11836) =< aux(671) s(11847) =< aux(672) s(11849) =< aux(673) s(11837) =< aux(673) s(11838) =< aux(673) s(11840) =< aux(673) s(11841) =< aux(673) s(11843) =< aux(673) s(11844) =< aux(673) s(11828) =< aux(673) s(11848) =< aux(676) s(11850) =< aux(677) s(11851) =< aux(678) s(11842) =< aux(679) s(11843) =< aux(679) s(11844) =< aux(679) s(11828) =< aux(679) s(11841) =< aux(680) s(11843) =< aux(680) s(11838) =< aux(681) s(11852) =< aux(668)+3 s(11853) =< aux(668)+4 s(11854) =< aux(668)+5 s(11855) =< aux(668)+1 s(11856) =< aux(668)+2 s(11857) =< aux(668)-2 s(11849) =< aux(669)*(1/3)+aux(673) s(11837) =< aux(669)*(1/3)+aux(673) s(11838) =< aux(669)*(1/3)+aux(673) s(11839) =< aux(669)*(1/3)+aux(673) s(11840) =< aux(669)*(1/3)+aux(673) s(11841) =< aux(669)*(1/3)+aux(673) s(11842) =< aux(669)*(1/3)+aux(673) s(11843) =< aux(669)*(1/3)+aux(673) s(11845) =< aux(669)*(1/3)+aux(673) s(11828) =< aux(669)*(1/3)+aux(673) s(11844) =< aux(669)*(1/3)+aux(673) s(11841) =< aux(669)*(3/7)+aux(680) s(11842) =< aux(669)*(3/7)+aux(680) s(11843) =< aux(669)*(3/7)+aux(680) s(11844) =< aux(669)*(3/7)+aux(680) s(11845) =< aux(669)*(3/7)+aux(680) s(11842) =< aux(669)*(1/5)+aux(679) s(11843) =< aux(669)*(1/5)+aux(679) s(11844) =< aux(669)*(1/5)+aux(679) s(11845) =< aux(669)*(1/5)+aux(679) s(11828) =< aux(669)*(1/5)+aux(679) s(11838) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11839) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11840) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11841) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11842) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11843) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11844) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11845) =< aux(669)*(5/9)+s(11827)*(1/9)+aux(681) s(11836) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11837) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11838) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11839) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11840) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11841) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11842) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11843) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11844) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11845) =< aux(669)*(2/3)+s(11827)*(1/3)+aux(671) s(11848) =< aux(669)*(7/20)+s(11827)*(1/20)+aux(676) s(11835) =< aux(669)*(7/20)+s(11827)*(1/20)+aux(676) s(11847) =< aux(669)*(3/8)+s(11827)*(1/8)+aux(672) s(11848) =< aux(669)*(3/8)+s(11827)*(1/8)+aux(672) s(11835) =< aux(669)*(3/8)+s(11827)*(1/8)+aux(672) s(11846) =< aux(669)*(1/4)+aux(670) s(11847) =< aux(669)*(1/4)+aux(670) s(11848) =< aux(669)*(1/4)+aux(670) s(11835) =< aux(669)*(1/4)+aux(670) s(11850) =< aux(669)*(5/13)+s(11827)*(2/13)+aux(677) s(11846) =< aux(669)*(5/13)+s(11827)*(2/13)+aux(677) s(11847) =< aux(669)*(5/13)+s(11827)*(2/13)+aux(677) s(11848) =< aux(669)*(5/13)+s(11827)*(2/13)+aux(677) s(11835) =< aux(669)*(5/13)+s(11827)*(2/13)+aux(677) s(11858) =< s(11845)*s(11852) s(11859) =< s(11845)*s(11853) s(11860) =< s(11845)*s(11854) s(11861) =< s(11844)*s(11853) s(11862) =< s(11841)*s(11855) s(11863) =< s(11841)*s(11853) s(11864) =< s(11840)*s(11856) s(11865) =< s(11838)*s(11855) s(11866) =< s(11837)*s(11856) s(11867) =< s(11836)*s(11856) s(11851) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11850) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11846) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11847) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11848) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11835) =< aux(669)*(13/32)+s(11828)*(1/32)+s(11827)*(7/32)+aux(678) s(11868) =< s(11835)*s(11852) s(11869) =< s(11835)*s(11854) s(11870) =< s(11848)*s(11857) s(11871) =< s(11847)*s(11855) s(11872) =< s(11850)*s(11857) s(11873) =< s(11851)*aux(668) s(11874) =< s(11858) s(11875) =< s(11860) s(11859) =< s(11860) s(11876) =< s(11849) s(11877) =< s(11861) s(11878) =< s(11863) s(11879) =< s(11867) s(11880) =< s(11869) s(11881) =< aux(667) s(11882) =< s(11868) s(11882) =< s(11869) s(11883) =< s(11869) s(11883) =< s(11868) s(11884) =< s(11883) s(11885) =< s(11868) s(11886) =< s(11871) s(11887) =< s(11872) s(11888) =< s(11873) s(12592) =< aux(683) with precondition: [V=2,Out=0,V1>=0,V14>=0] * Chain [92]: 14*s(12923)+6*s(12924)+2*s(12925)+6*s(12926)+4*s(12927)+2*s(12928)+6*s(12929)+2*s(12930)+6*s(12931)+10*s(12932)+10*s(12933)+2*s(12934)+10*s(12935)+10*s(12936)+10*s(12938)+10*s(12939)+8*s(12947)+2*s(12950)+2*s(12952)+2*s(12953)+2*s(12954)+2*s(12958)+20*s(12962)+36*s(12963)+6*s(12964)+28*s(12965)+12*s(12966)+14*s(12967)+32*s(12968)+22*s(12969)+8*s(12970)+4*s(12972)+108*s(12973)+14*s(12974)+4*s(12975)+16*s(12976)+7*s(12992)+3*s(12993)+1*s(12994)+3*s(12995)+2*s(12996)+1*s(12997)+3*s(12998)+1*s(12999)+3*s(13000)+5*s(13001)+5*s(13002)+1*s(13003)+5*s(13004)+5*s(13005)+5*s(13007)+5*s(13008)+4*s(13016)+1*s(13019)+1*s(13021)+1*s(13022)+1*s(13023)+1*s(13027)+10*s(13031)+18*s(13032)+3*s(13033)+14*s(13034)+6*s(13035)+7*s(13036)+16*s(13037)+11*s(13038)+4*s(13039)+2*s(13041)+54*s(13042)+7*s(13043)+2*s(13044)+8*s(13045)+1 Such that:s(12977) =< V14 s(12978) =< 2*V14 s(12979) =< 2*V14+1 s(12980) =< V14/2 s(12981) =< V14/3 s(12982) =< V14/4 s(12983) =< 2/3*V14 s(12984) =< 2/3*V14+1/3 s(12985) =< 2/5*V14+1/5 s(12986) =< 3/10*V14 s(12987) =< 3/13*V14 s(12988) =< 3/16*V14 s(12989) =< 4/5*V14 s(12990) =< 4/7*V14 s(12991) =< 4/9*V14 aux(697) =< V1 aux(698) =< 2*V1 aux(699) =< 2*V1+1 aux(700) =< V1/2 aux(701) =< V1/3 aux(702) =< V1/4 aux(703) =< 2/3*V1 aux(704) =< 2/3*V1+1/3 aux(705) =< 2/5*V1+1/5 aux(706) =< 3/10*V1 aux(707) =< 3/13*V1 aux(708) =< 3/16*V1 aux(709) =< 4/5*V1 aux(710) =< 4/7*V1 aux(711) =< 4/9*V1 s(12915) =< aux(704) s(12916) =< aux(705) s(12992) =< s(12977) s(12993) =< s(12977) s(12994) =< s(12977) s(12995) =< s(12977) s(12996) =< s(12977) s(12997) =< s(12977) s(12998) =< s(12977) s(12999) =< s(12977) s(13000) =< s(12977) s(13001) =< s(12977) s(13002) =< s(12977) s(12985) =< s(12977) s(12984) =< s(12977) s(12985) =< s(12979) s(12984) =< s(12979) s(13003) =< s(12980) s(13004) =< s(12980) s(13005) =< s(12980) s(12993) =< s(12981) s(13004) =< s(12982) s(13006) =< s(12983) s(12994) =< s(12983) s(12995) =< s(12983) s(12997) =< s(12983) s(12998) =< s(12983) s(13000) =< s(12983) s(13001) =< s(12983) s(12985) =< s(12983) s(13005) =< s(12986) s(13007) =< s(12987) s(13008) =< s(12988) s(12999) =< s(12989) s(13000) =< s(12989) s(13001) =< s(12989) s(12985) =< s(12989) s(12998) =< s(12990) s(13000) =< s(12990) s(12995) =< s(12991) s(13009) =< s(12978)+3 s(13010) =< s(12978)+4 s(13011) =< s(12978)+5 s(13012) =< s(12978)+1 s(13013) =< s(12978)+2 s(13014) =< s(12978)-2 s(13006) =< s(12979)*(1/3)+s(12983) s(12994) =< s(12979)*(1/3)+s(12983) s(12995) =< s(12979)*(1/3)+s(12983) s(12996) =< s(12979)*(1/3)+s(12983) s(12997) =< s(12979)*(1/3)+s(12983) s(12998) =< s(12979)*(1/3)+s(12983) s(12999) =< s(12979)*(1/3)+s(12983) s(13000) =< s(12979)*(1/3)+s(12983) s(13002) =< s(12979)*(1/3)+s(12983) s(12985) =< s(12979)*(1/3)+s(12983) s(13001) =< s(12979)*(1/3)+s(12983) s(12998) =< s(12979)*(3/7)+s(12990) s(12999) =< s(12979)*(3/7)+s(12990) s(13000) =< s(12979)*(3/7)+s(12990) s(13001) =< s(12979)*(3/7)+s(12990) s(13002) =< s(12979)*(3/7)+s(12990) s(12999) =< s(12979)*(1/5)+s(12989) s(13000) =< s(12979)*(1/5)+s(12989) s(13001) =< s(12979)*(1/5)+s(12989) s(13002) =< s(12979)*(1/5)+s(12989) s(12985) =< s(12979)*(1/5)+s(12989) s(12995) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(12996) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(12997) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(12998) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(12999) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(13000) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(13001) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(13002) =< s(12979)*(5/9)+s(12984)*(1/9)+s(12991) s(12993) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12994) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12995) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12996) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12997) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12998) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(12999) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(13000) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(13001) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(13002) =< s(12979)*(2/3)+s(12984)*(1/3)+s(12981) s(13005) =< s(12979)*(7/20)+s(12984)*(1/20)+s(12986) s(12992) =< s(12979)*(7/20)+s(12984)*(1/20)+s(12986) s(13004) =< s(12979)*(3/8)+s(12984)*(1/8)+s(12982) s(13005) =< s(12979)*(3/8)+s(12984)*(1/8)+s(12982) s(12992) =< s(12979)*(3/8)+s(12984)*(1/8)+s(12982) s(13003) =< s(12979)*(1/4)+s(12980) s(13004) =< s(12979)*(1/4)+s(12980) s(13005) =< s(12979)*(1/4)+s(12980) s(12992) =< s(12979)*(1/4)+s(12980) s(13007) =< s(12979)*(5/13)+s(12984)*(2/13)+s(12987) s(13003) =< s(12979)*(5/13)+s(12984)*(2/13)+s(12987) s(13004) =< s(12979)*(5/13)+s(12984)*(2/13)+s(12987) s(13005) =< s(12979)*(5/13)+s(12984)*(2/13)+s(12987) s(12992) =< s(12979)*(5/13)+s(12984)*(2/13)+s(12987) s(13015) =< s(13002)*s(13009) s(13016) =< s(13002)*s(13010) s(13017) =< s(13002)*s(13011) s(13018) =< s(13001)*s(13010) s(13019) =< s(12998)*s(13012) s(13020) =< s(12998)*s(13010) s(13021) =< s(12997)*s(13013) s(13022) =< s(12995)*s(13012) s(13023) =< s(12994)*s(13013) s(13024) =< s(12993)*s(13013) s(13008) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(13007) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(13003) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(13004) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(13005) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(12992) =< s(12979)*(13/32)+s(12985)*(1/32)+s(12984)*(7/32)+s(12988) s(13025) =< s(12992)*s(13009) s(13026) =< s(12992)*s(13011) s(13027) =< s(13005)*s(13014) s(13028) =< s(13004)*s(13012) s(13029) =< s(13007)*s(13014) s(13030) =< s(13008)*s(12978) s(13031) =< s(13015) s(13032) =< s(13017) s(13016) =< s(13017) s(13033) =< s(13006) s(13034) =< s(13018) s(13035) =< s(13020) s(13036) =< s(13024) s(13037) =< s(13026) s(13038) =< s(12977) s(13039) =< s(13025) s(13039) =< s(13026) s(13040) =< s(13026) s(13040) =< s(13025) s(13041) =< s(13040) s(13042) =< s(13025) s(13043) =< s(13028) s(13044) =< s(13029) s(13045) =< s(13030) s(12923) =< aux(697) s(12924) =< aux(697) s(12925) =< aux(697) s(12926) =< aux(697) s(12927) =< aux(697) s(12928) =< aux(697) s(12929) =< aux(697) s(12930) =< aux(697) s(12931) =< aux(697) s(12932) =< aux(697) s(12933) =< aux(697) s(12916) =< aux(697) s(12915) =< aux(697) s(12916) =< aux(699) s(12915) =< aux(699) s(12934) =< aux(700) s(12935) =< aux(700) s(12936) =< aux(700) s(12924) =< aux(701) s(12935) =< aux(702) s(12937) =< aux(703) s(12925) =< aux(703) s(12926) =< aux(703) s(12928) =< aux(703) s(12929) =< aux(703) s(12931) =< aux(703) s(12932) =< aux(703) s(12916) =< aux(703) s(12936) =< aux(706) s(12938) =< aux(707) s(12939) =< aux(708) s(12930) =< aux(709) s(12931) =< aux(709) s(12932) =< aux(709) s(12916) =< aux(709) s(12929) =< aux(710) s(12931) =< aux(710) s(12926) =< aux(711) s(12940) =< aux(698)+3 s(12941) =< aux(698)+4 s(12942) =< aux(698)+5 s(12943) =< aux(698)+1 s(12944) =< aux(698)+2 s(12945) =< aux(698)-2 s(12937) =< aux(699)*(1/3)+aux(703) s(12925) =< aux(699)*(1/3)+aux(703) s(12926) =< aux(699)*(1/3)+aux(703) s(12927) =< aux(699)*(1/3)+aux(703) s(12928) =< aux(699)*(1/3)+aux(703) s(12929) =< aux(699)*(1/3)+aux(703) s(12930) =< aux(699)*(1/3)+aux(703) s(12931) =< aux(699)*(1/3)+aux(703) s(12933) =< aux(699)*(1/3)+aux(703) s(12916) =< aux(699)*(1/3)+aux(703) s(12932) =< aux(699)*(1/3)+aux(703) s(12929) =< aux(699)*(3/7)+aux(710) s(12930) =< aux(699)*(3/7)+aux(710) s(12931) =< aux(699)*(3/7)+aux(710) s(12932) =< aux(699)*(3/7)+aux(710) s(12933) =< aux(699)*(3/7)+aux(710) s(12930) =< aux(699)*(1/5)+aux(709) s(12931) =< aux(699)*(1/5)+aux(709) s(12932) =< aux(699)*(1/5)+aux(709) s(12933) =< aux(699)*(1/5)+aux(709) s(12916) =< aux(699)*(1/5)+aux(709) s(12926) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12927) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12928) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12929) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12930) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12931) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12932) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12933) =< aux(699)*(5/9)+s(12915)*(1/9)+aux(711) s(12924) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12925) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12926) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12927) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12928) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12929) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12930) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12931) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12932) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12933) =< aux(699)*(2/3)+s(12915)*(1/3)+aux(701) s(12936) =< aux(699)*(7/20)+s(12915)*(1/20)+aux(706) s(12923) =< aux(699)*(7/20)+s(12915)*(1/20)+aux(706) s(12935) =< aux(699)*(3/8)+s(12915)*(1/8)+aux(702) s(12936) =< aux(699)*(3/8)+s(12915)*(1/8)+aux(702) s(12923) =< aux(699)*(3/8)+s(12915)*(1/8)+aux(702) s(12934) =< aux(699)*(1/4)+aux(700) s(12935) =< aux(699)*(1/4)+aux(700) s(12936) =< aux(699)*(1/4)+aux(700) s(12923) =< aux(699)*(1/4)+aux(700) s(12938) =< aux(699)*(5/13)+s(12915)*(2/13)+aux(707) s(12934) =< aux(699)*(5/13)+s(12915)*(2/13)+aux(707) s(12935) =< aux(699)*(5/13)+s(12915)*(2/13)+aux(707) s(12936) =< aux(699)*(5/13)+s(12915)*(2/13)+aux(707) s(12923) =< aux(699)*(5/13)+s(12915)*(2/13)+aux(707) s(12946) =< s(12933)*s(12940) s(12947) =< s(12933)*s(12941) s(12948) =< s(12933)*s(12942) s(12949) =< s(12932)*s(12941) s(12950) =< s(12929)*s(12943) s(12951) =< s(12929)*s(12941) s(12952) =< s(12928)*s(12944) s(12953) =< s(12926)*s(12943) s(12954) =< s(12925)*s(12944) s(12955) =< s(12924)*s(12944) s(12939) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12938) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12934) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12935) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12936) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12923) =< aux(699)*(13/32)+s(12916)*(1/32)+s(12915)*(7/32)+aux(708) s(12956) =< s(12923)*s(12940) s(12957) =< s(12923)*s(12942) s(12958) =< s(12936)*s(12945) s(12959) =< s(12935)*s(12943) s(12960) =< s(12938)*s(12945) s(12961) =< s(12939)*aux(698) s(12962) =< s(12946) s(12963) =< s(12948) s(12947) =< s(12948) s(12964) =< s(12937) s(12965) =< s(12949) s(12966) =< s(12951) s(12967) =< s(12955) s(12968) =< s(12957) s(12969) =< aux(697) s(12970) =< s(12956) s(12970) =< s(12957) s(12971) =< s(12957) s(12971) =< s(12956) s(12972) =< s(12971) s(12973) =< s(12956) s(12974) =< s(12959) s(12975) =< s(12960) s(12976) =< s(12961) with precondition: [V=2,Out=2,V1>=1,V14>=1] * Chain [91]: 21*s(13130)+9*s(13131)+3*s(13132)+9*s(13133)+6*s(13134)+3*s(13135)+9*s(13136)+3*s(13137)+9*s(13138)+15*s(13139)+15*s(13140)+3*s(13141)+15*s(13142)+15*s(13143)+15*s(13145)+15*s(13146)+12*s(13154)+3*s(13157)+3*s(13159)+3*s(13160)+3*s(13161)+3*s(13165)+30*s(13169)+54*s(13170)+9*s(13171)+42*s(13172)+18*s(13173)+21*s(13174)+48*s(13175)+33*s(13176)+12*s(13177)+6*s(13179)+162*s(13180)+21*s(13181)+6*s(13182)+24*s(13183)+21*s(13199)+9*s(13200)+3*s(13201)+9*s(13202)+6*s(13203)+3*s(13204)+9*s(13205)+3*s(13206)+9*s(13207)+15*s(13208)+15*s(13209)+3*s(13210)+15*s(13211)+15*s(13212)+15*s(13214)+15*s(13215)+12*s(13223)+3*s(13226)+3*s(13228)+3*s(13229)+3*s(13230)+3*s(13234)+30*s(13238)+54*s(13239)+9*s(13240)+42*s(13241)+18*s(13242)+21*s(13243)+48*s(13244)+33*s(13245)+12*s(13246)+6*s(13248)+162*s(13249)+21*s(13250)+6*s(13251)+24*s(13252)+2*s(13391)+6*s(13531)+5 Such that:aux(713) =< 1 aux(714) =< V1 aux(715) =< 2*V1 aux(716) =< 2*V1+1 aux(717) =< V1/2 aux(718) =< V1/3 aux(719) =< V1/4 aux(720) =< 2/3*V1 aux(721) =< 2/3*V1+1/3 aux(722) =< 2/5*V1+1/5 aux(723) =< 3/10*V1 aux(724) =< 3/13*V1 aux(725) =< 3/16*V1 aux(726) =< 4/5*V1 aux(727) =< 4/7*V1 aux(728) =< 4/9*V1 aux(729) =< V aux(730) =< 2*V aux(731) =< 2*V+1 aux(732) =< V/2 aux(733) =< V/3 aux(734) =< V/4 aux(735) =< 2/3*V aux(736) =< 2/3*V+1/3 aux(737) =< 2/5*V+1/5 aux(738) =< 3/10*V aux(739) =< 3/13*V aux(740) =< 3/16*V aux(741) =< 4/5*V aux(742) =< 4/7*V aux(743) =< 4/9*V s(13391) =< aux(713) s(13122) =< aux(721) s(13123) =< aux(722) s(13191) =< aux(736) s(13192) =< aux(737) s(13199) =< aux(729) s(13200) =< aux(729) s(13201) =< aux(729) s(13202) =< aux(729) s(13203) =< aux(729) s(13204) =< aux(729) s(13205) =< aux(729) s(13206) =< aux(729) s(13207) =< aux(729) s(13208) =< aux(729) s(13209) =< aux(729) s(13192) =< aux(729) s(13191) =< aux(729) s(13192) =< aux(731) s(13191) =< aux(731) s(13210) =< aux(732) s(13211) =< aux(732) s(13212) =< aux(732) s(13200) =< aux(733) s(13211) =< aux(734) s(13213) =< aux(735) s(13201) =< aux(735) s(13202) =< aux(735) s(13204) =< aux(735) s(13205) =< aux(735) s(13207) =< aux(735) s(13208) =< aux(735) s(13192) =< aux(735) s(13212) =< aux(738) s(13214) =< aux(739) s(13215) =< aux(740) s(13206) =< aux(741) s(13207) =< aux(741) s(13208) =< aux(741) s(13192) =< aux(741) s(13205) =< aux(742) s(13207) =< aux(742) s(13202) =< aux(743) s(13216) =< aux(730)+3 s(13217) =< aux(730)+4 s(13218) =< aux(730)+5 s(13219) =< aux(730)+1 s(13220) =< aux(730)+2 s(13221) =< aux(730)-2 s(13213) =< aux(731)*(1/3)+aux(735) s(13201) =< aux(731)*(1/3)+aux(735) s(13202) =< aux(731)*(1/3)+aux(735) s(13203) =< aux(731)*(1/3)+aux(735) s(13204) =< aux(731)*(1/3)+aux(735) s(13205) =< aux(731)*(1/3)+aux(735) s(13206) =< aux(731)*(1/3)+aux(735) s(13207) =< aux(731)*(1/3)+aux(735) s(13209) =< aux(731)*(1/3)+aux(735) s(13192) =< aux(731)*(1/3)+aux(735) s(13208) =< aux(731)*(1/3)+aux(735) s(13205) =< aux(731)*(3/7)+aux(742) s(13206) =< aux(731)*(3/7)+aux(742) s(13207) =< aux(731)*(3/7)+aux(742) s(13208) =< aux(731)*(3/7)+aux(742) s(13209) =< aux(731)*(3/7)+aux(742) s(13206) =< aux(731)*(1/5)+aux(741) s(13207) =< aux(731)*(1/5)+aux(741) s(13208) =< aux(731)*(1/5)+aux(741) s(13209) =< aux(731)*(1/5)+aux(741) s(13192) =< aux(731)*(1/5)+aux(741) s(13202) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13203) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13204) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13205) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13206) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13207) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13208) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13209) =< aux(731)*(5/9)+s(13191)*(1/9)+aux(743) s(13200) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13201) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13202) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13203) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13204) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13205) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13206) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13207) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13208) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13209) =< aux(731)*(2/3)+s(13191)*(1/3)+aux(733) s(13212) =< aux(731)*(7/20)+s(13191)*(1/20)+aux(738) s(13199) =< aux(731)*(7/20)+s(13191)*(1/20)+aux(738) s(13211) =< aux(731)*(3/8)+s(13191)*(1/8)+aux(734) s(13212) =< aux(731)*(3/8)+s(13191)*(1/8)+aux(734) s(13199) =< aux(731)*(3/8)+s(13191)*(1/8)+aux(734) s(13210) =< aux(731)*(1/4)+aux(732) s(13211) =< aux(731)*(1/4)+aux(732) s(13212) =< aux(731)*(1/4)+aux(732) s(13199) =< aux(731)*(1/4)+aux(732) s(13214) =< aux(731)*(5/13)+s(13191)*(2/13)+aux(739) s(13210) =< aux(731)*(5/13)+s(13191)*(2/13)+aux(739) s(13211) =< aux(731)*(5/13)+s(13191)*(2/13)+aux(739) s(13212) =< aux(731)*(5/13)+s(13191)*(2/13)+aux(739) s(13199) =< aux(731)*(5/13)+s(13191)*(2/13)+aux(739) s(13222) =< s(13209)*s(13216) s(13223) =< s(13209)*s(13217) s(13224) =< s(13209)*s(13218) s(13225) =< s(13208)*s(13217) s(13226) =< s(13205)*s(13219) s(13227) =< s(13205)*s(13217) s(13228) =< s(13204)*s(13220) s(13229) =< s(13202)*s(13219) s(13230) =< s(13201)*s(13220) s(13231) =< s(13200)*s(13220) s(13215) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13214) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13210) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13211) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13212) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13199) =< aux(731)*(13/32)+s(13192)*(1/32)+s(13191)*(7/32)+aux(740) s(13232) =< s(13199)*s(13216) s(13233) =< s(13199)*s(13218) s(13234) =< s(13212)*s(13221) s(13235) =< s(13211)*s(13219) s(13236) =< s(13214)*s(13221) s(13237) =< s(13215)*aux(730) s(13238) =< s(13222) s(13239) =< s(13224) s(13223) =< s(13224) s(13240) =< s(13213) s(13241) =< s(13225) s(13242) =< s(13227) s(13243) =< s(13231) s(13244) =< s(13233) s(13245) =< aux(729) s(13246) =< s(13232) s(13246) =< s(13233) s(13247) =< s(13233) s(13247) =< s(13232) s(13248) =< s(13247) s(13249) =< s(13232) s(13250) =< s(13235) s(13251) =< s(13236) s(13252) =< s(13237) s(13130) =< aux(714) s(13131) =< aux(714) s(13132) =< aux(714) s(13133) =< aux(714) s(13134) =< aux(714) s(13135) =< aux(714) s(13136) =< aux(714) s(13137) =< aux(714) s(13138) =< aux(714) s(13139) =< aux(714) s(13140) =< aux(714) s(13123) =< aux(714) s(13122) =< aux(714) s(13123) =< aux(716) s(13122) =< aux(716) s(13141) =< aux(717) s(13142) =< aux(717) s(13143) =< aux(717) s(13131) =< aux(718) s(13142) =< aux(719) s(13144) =< aux(720) s(13132) =< aux(720) s(13133) =< aux(720) s(13135) =< aux(720) s(13136) =< aux(720) s(13138) =< aux(720) s(13139) =< aux(720) s(13123) =< aux(720) s(13143) =< aux(723) s(13145) =< aux(724) s(13146) =< aux(725) s(13137) =< aux(726) s(13138) =< aux(726) s(13139) =< aux(726) s(13123) =< aux(726) s(13136) =< aux(727) s(13138) =< aux(727) s(13133) =< aux(728) s(13147) =< aux(715)+3 s(13148) =< aux(715)+4 s(13149) =< aux(715)+5 s(13150) =< aux(715)+1 s(13151) =< aux(715)+2 s(13152) =< aux(715)-2 s(13144) =< aux(716)*(1/3)+aux(720) s(13132) =< aux(716)*(1/3)+aux(720) s(13133) =< aux(716)*(1/3)+aux(720) s(13134) =< aux(716)*(1/3)+aux(720) s(13135) =< aux(716)*(1/3)+aux(720) s(13136) =< aux(716)*(1/3)+aux(720) s(13137) =< aux(716)*(1/3)+aux(720) s(13138) =< aux(716)*(1/3)+aux(720) s(13140) =< aux(716)*(1/3)+aux(720) s(13123) =< aux(716)*(1/3)+aux(720) s(13139) =< aux(716)*(1/3)+aux(720) s(13136) =< aux(716)*(3/7)+aux(727) s(13137) =< aux(716)*(3/7)+aux(727) s(13138) =< aux(716)*(3/7)+aux(727) s(13139) =< aux(716)*(3/7)+aux(727) s(13140) =< aux(716)*(3/7)+aux(727) s(13137) =< aux(716)*(1/5)+aux(726) s(13138) =< aux(716)*(1/5)+aux(726) s(13139) =< aux(716)*(1/5)+aux(726) s(13140) =< aux(716)*(1/5)+aux(726) s(13123) =< aux(716)*(1/5)+aux(726) s(13133) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13134) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13135) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13136) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13137) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13138) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13139) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13140) =< aux(716)*(5/9)+s(13122)*(1/9)+aux(728) s(13131) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13132) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13133) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13134) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13135) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13136) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13137) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13138) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13139) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13140) =< aux(716)*(2/3)+s(13122)*(1/3)+aux(718) s(13143) =< aux(716)*(7/20)+s(13122)*(1/20)+aux(723) s(13130) =< aux(716)*(7/20)+s(13122)*(1/20)+aux(723) s(13142) =< aux(716)*(3/8)+s(13122)*(1/8)+aux(719) s(13143) =< aux(716)*(3/8)+s(13122)*(1/8)+aux(719) s(13130) =< aux(716)*(3/8)+s(13122)*(1/8)+aux(719) s(13141) =< aux(716)*(1/4)+aux(717) s(13142) =< aux(716)*(1/4)+aux(717) s(13143) =< aux(716)*(1/4)+aux(717) s(13130) =< aux(716)*(1/4)+aux(717) s(13145) =< aux(716)*(5/13)+s(13122)*(2/13)+aux(724) s(13141) =< aux(716)*(5/13)+s(13122)*(2/13)+aux(724) s(13142) =< aux(716)*(5/13)+s(13122)*(2/13)+aux(724) s(13143) =< aux(716)*(5/13)+s(13122)*(2/13)+aux(724) s(13130) =< aux(716)*(5/13)+s(13122)*(2/13)+aux(724) s(13153) =< s(13140)*s(13147) s(13154) =< s(13140)*s(13148) s(13155) =< s(13140)*s(13149) s(13156) =< s(13139)*s(13148) s(13157) =< s(13136)*s(13150) s(13158) =< s(13136)*s(13148) s(13159) =< s(13135)*s(13151) s(13160) =< s(13133)*s(13150) s(13161) =< s(13132)*s(13151) s(13162) =< s(13131)*s(13151) s(13146) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13145) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13141) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13142) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13143) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13130) =< aux(716)*(13/32)+s(13123)*(1/32)+s(13122)*(7/32)+aux(725) s(13163) =< s(13130)*s(13147) s(13164) =< s(13130)*s(13149) s(13165) =< s(13143)*s(13152) s(13166) =< s(13142)*s(13150) s(13167) =< s(13145)*s(13152) s(13168) =< s(13146)*aux(715) s(13169) =< s(13153) s(13170) =< s(13155) s(13154) =< s(13155) s(13171) =< s(13144) s(13172) =< s(13156) s(13173) =< s(13158) s(13174) =< s(13162) s(13175) =< s(13164) s(13176) =< aux(714) s(13177) =< s(13163) s(13177) =< s(13164) s(13178) =< s(13164) s(13178) =< s(13163) s(13179) =< s(13178) s(13180) =< s(13163) s(13181) =< s(13166) s(13182) =< s(13167) s(13183) =< s(13168) s(13531) =< aux(730) with precondition: [V14=2,V1>=1,V>=1,Out>=1,2*V>=Out] #### Cost of chains of start(V1,V,V14): * Chain [98]: 774*s(14261)+139*s(14264)+407*s(14273)+12*s(14285)+4*s(14289)+2*s(14291)+18*s(14292)+737*s(14309)+12*s(14313)+4*s(14317)+2*s(14319)+448*s(14350)+192*s(14351)+64*s(14352)+192*s(14353)+128*s(14354)+64*s(14355)+192*s(14356)+64*s(14357)+192*s(14358)+320*s(14359)+320*s(14360)+64*s(14361)+320*s(14362)+320*s(14363)+320*s(14365)+320*s(14366)+256*s(14374)+64*s(14377)+64*s(14379)+64*s(14380)+64*s(14381)+64*s(14385)+640*s(14389)+1152*s(14390)+192*s(14391)+896*s(14392)+384*s(14393)+448*s(14394)+1024*s(14395)+256*s(14397)+128*s(14399)+3456*s(14400)+448*s(14401)+128*s(14402)+512*s(14403)+180*s(14435)+258*s(14440)+462*s(14441)+198*s(14442)+66*s(14443)+198*s(14444)+132*s(14445)+66*s(14446)+198*s(14447)+66*s(14448)+198*s(14449)+330*s(14450)+330*s(14451)+66*s(14452)+330*s(14453)+330*s(14454)+330*s(14456)+330*s(14457)+264*s(14465)+66*s(14468)+66*s(14470)+66*s(14471)+66*s(14472)+66*s(14476)+660*s(14480)+1188*s(14481)+198*s(14482)+924*s(14483)+396*s(14484)+462*s(14485)+1056*s(14486)+264*s(14488)+132*s(14490)+3564*s(14491)+462*s(14492)+132*s(14493)+528*s(14494)+92*s(14693)+4*s(15302)+8*s(15303)+8*s(15418)+245*s(15815)+105*s(15816)+35*s(15817)+105*s(15818)+70*s(15819)+35*s(15820)+105*s(15821)+35*s(15822)+105*s(15823)+175*s(15824)+175*s(15825)+35*s(15826)+175*s(15827)+175*s(15828)+175*s(15830)+175*s(15831)+140*s(15839)+35*s(15842)+35*s(15844)+35*s(15845)+35*s(15846)+35*s(15850)+350*s(15854)+630*s(15855)+105*s(15856)+490*s(15857)+210*s(15858)+245*s(15859)+560*s(15860)+140*s(15862)+70*s(15864)+1890*s(15865)+245*s(15866)+70*s(15867)+280*s(15868)+37*s(15923)+7 Such that:s(15268) =< 3 s(14312) =< V1-V s(14284) =< V-2*V14 aux(811) =< 1 aux(812) =< 2 aux(813) =< V1 aux(814) =< V1-V+1 aux(815) =< 2*V1 aux(816) =< 2*V1+1 aux(817) =< V1/2 aux(818) =< V1/3 aux(819) =< V1/4 aux(820) =< 2/3*V1 aux(821) =< 2/3*V1+1/3 aux(822) =< 2/5*V1+1/5 aux(823) =< 3/10*V1 aux(824) =< 3/13*V1 aux(825) =< 3/16*V1 aux(826) =< 4/5*V1 aux(827) =< 4/7*V1 aux(828) =< 4/9*V1 aux(829) =< V aux(830) =< V-2*V14+1 aux(831) =< V-V14 aux(832) =< 2*V aux(833) =< 2*V+1 aux(834) =< V/2 aux(835) =< V/3 aux(836) =< V/4 aux(837) =< 2/3*V aux(838) =< 2/3*V+1/3 aux(839) =< 2/5*V+1/5 aux(840) =< 3/10*V aux(841) =< 3/13*V aux(842) =< 3/16*V aux(843) =< 4/5*V aux(844) =< 4/7*V aux(845) =< 4/9*V aux(846) =< V14 aux(847) =< 2*V14 aux(848) =< 2*V14+1 aux(849) =< V14/2 aux(850) =< V14/3 aux(851) =< V14/4 aux(852) =< 2/3*V14 aux(853) =< 2/3*V14+1/3 aux(854) =< 2/5*V14+1/5 aux(855) =< 3/10*V14 aux(856) =< 3/13*V14 aux(857) =< 3/16*V14 aux(858) =< 4/5*V14 aux(859) =< 4/7*V14 aux(860) =< 4/9*V14 s(14264) =< aux(811) s(14435) =< aux(812) s(14309) =< aux(813) s(14313) =< aux(814) s(14342) =< aux(821) s(14343) =< aux(822) s(14261) =< aux(829) s(14285) =< aux(830) s(14292) =< aux(831) s(14273) =< aux(846) s(15758) =< aux(853) s(15759) =< aux(854) s(14438) =< aux(838) s(14439) =< aux(839) s(14441) =< aux(829) s(14442) =< aux(829) s(14443) =< aux(829) s(14444) =< aux(829) s(14445) =< aux(829) s(14446) =< aux(829) s(14447) =< aux(829) s(14448) =< aux(829) s(14449) =< aux(829) s(14450) =< aux(829) s(14451) =< aux(829) s(14439) =< aux(829) s(14438) =< aux(829) s(14439) =< aux(833) s(14438) =< aux(833) s(14452) =< aux(834) s(14453) =< aux(834) s(14454) =< aux(834) s(14442) =< aux(835) s(14453) =< aux(836) s(14455) =< aux(837) s(14443) =< aux(837) s(14444) =< aux(837) s(14446) =< aux(837) s(14447) =< aux(837) s(14449) =< aux(837) s(14450) =< aux(837) s(14439) =< aux(837) s(14454) =< aux(840) s(14456) =< aux(841) s(14457) =< aux(842) s(14448) =< aux(843) s(14449) =< aux(843) s(14450) =< aux(843) s(14439) =< aux(843) s(14447) =< aux(844) s(14449) =< aux(844) s(14444) =< aux(845) s(14458) =< aux(832)+3 s(14459) =< aux(832)+4 s(14460) =< aux(832)+5 s(14461) =< aux(832)+1 s(14462) =< aux(832)+2 s(14463) =< aux(832)-2 s(14455) =< aux(833)*(1/3)+aux(837) s(14443) =< aux(833)*(1/3)+aux(837) s(14444) =< aux(833)*(1/3)+aux(837) s(14445) =< aux(833)*(1/3)+aux(837) s(14446) =< aux(833)*(1/3)+aux(837) s(14447) =< aux(833)*(1/3)+aux(837) s(14448) =< aux(833)*(1/3)+aux(837) s(14449) =< aux(833)*(1/3)+aux(837) s(14451) =< aux(833)*(1/3)+aux(837) s(14439) =< aux(833)*(1/3)+aux(837) s(14450) =< aux(833)*(1/3)+aux(837) s(14447) =< aux(833)*(3/7)+aux(844) s(14448) =< aux(833)*(3/7)+aux(844) s(14449) =< aux(833)*(3/7)+aux(844) s(14450) =< aux(833)*(3/7)+aux(844) s(14451) =< aux(833)*(3/7)+aux(844) s(14448) =< aux(833)*(1/5)+aux(843) s(14449) =< aux(833)*(1/5)+aux(843) s(14450) =< aux(833)*(1/5)+aux(843) s(14451) =< aux(833)*(1/5)+aux(843) s(14439) =< aux(833)*(1/5)+aux(843) s(14444) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14445) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14446) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14447) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14448) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14449) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14450) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14451) =< aux(833)*(5/9)+s(14438)*(1/9)+aux(845) s(14442) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14443) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14444) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14445) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14446) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14447) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14448) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14449) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14450) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14451) =< aux(833)*(2/3)+s(14438)*(1/3)+aux(835) s(14454) =< aux(833)*(7/20)+s(14438)*(1/20)+aux(840) s(14441) =< aux(833)*(7/20)+s(14438)*(1/20)+aux(840) s(14453) =< aux(833)*(3/8)+s(14438)*(1/8)+aux(836) s(14454) =< aux(833)*(3/8)+s(14438)*(1/8)+aux(836) s(14441) =< aux(833)*(3/8)+s(14438)*(1/8)+aux(836) s(14452) =< aux(833)*(1/4)+aux(834) s(14453) =< aux(833)*(1/4)+aux(834) s(14454) =< aux(833)*(1/4)+aux(834) s(14441) =< aux(833)*(1/4)+aux(834) s(14456) =< aux(833)*(5/13)+s(14438)*(2/13)+aux(841) s(14452) =< aux(833)*(5/13)+s(14438)*(2/13)+aux(841) s(14453) =< aux(833)*(5/13)+s(14438)*(2/13)+aux(841) s(14454) =< aux(833)*(5/13)+s(14438)*(2/13)+aux(841) s(14441) =< aux(833)*(5/13)+s(14438)*(2/13)+aux(841) s(14464) =< s(14451)*s(14458) s(14465) =< s(14451)*s(14459) s(14466) =< s(14451)*s(14460) s(14467) =< s(14450)*s(14459) s(14468) =< s(14447)*s(14461) s(14469) =< s(14447)*s(14459) s(14470) =< s(14446)*s(14462) s(14471) =< s(14444)*s(14461) s(14472) =< s(14443)*s(14462) s(14473) =< s(14442)*s(14462) s(14457) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14456) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14452) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14453) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14454) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14441) =< aux(833)*(13/32)+s(14439)*(1/32)+s(14438)*(7/32)+aux(842) s(14474) =< s(14441)*s(14458) s(14475) =< s(14441)*s(14460) s(14476) =< s(14454)*s(14463) s(14477) =< s(14453)*s(14461) s(14478) =< s(14456)*s(14463) s(14479) =< s(14457)*aux(832) s(14480) =< s(14464) s(14481) =< s(14466) s(14465) =< s(14466) s(14482) =< s(14455) s(14483) =< s(14467) s(14484) =< s(14469) s(14485) =< s(14473) s(14486) =< s(14475) s(14488) =< s(14474) s(14488) =< s(14475) s(14489) =< s(14475) s(14489) =< s(14474) s(14490) =< s(14489) s(14491) =< s(14474) s(14492) =< s(14477) s(14493) =< s(14478) s(14494) =< s(14479) s(14350) =< aux(813) s(14351) =< aux(813) s(14352) =< aux(813) s(14353) =< aux(813) s(14354) =< aux(813) s(14355) =< aux(813) s(14356) =< aux(813) s(14357) =< aux(813) s(14358) =< aux(813) s(14359) =< aux(813) s(14360) =< aux(813) s(14343) =< aux(813) s(14342) =< aux(813) s(14343) =< aux(816) s(14342) =< aux(816) s(14361) =< aux(817) s(14362) =< aux(817) s(14363) =< aux(817) s(14351) =< aux(818) s(14362) =< aux(819) s(14364) =< aux(820) s(14352) =< aux(820) s(14353) =< aux(820) s(14355) =< aux(820) s(14356) =< aux(820) s(14358) =< aux(820) s(14359) =< aux(820) s(14343) =< aux(820) s(14363) =< aux(823) s(14365) =< aux(824) s(14366) =< aux(825) s(14357) =< aux(826) s(14358) =< aux(826) s(14359) =< aux(826) s(14343) =< aux(826) s(14356) =< aux(827) s(14358) =< aux(827) s(14353) =< aux(828) s(14367) =< aux(815)+3 s(14368) =< aux(815)+4 s(14369) =< aux(815)+5 s(14370) =< aux(815)+1 s(14371) =< aux(815)+2 s(14372) =< aux(815)-2 s(14364) =< aux(816)*(1/3)+aux(820) s(14352) =< aux(816)*(1/3)+aux(820) s(14353) =< aux(816)*(1/3)+aux(820) s(14354) =< aux(816)*(1/3)+aux(820) s(14355) =< aux(816)*(1/3)+aux(820) s(14356) =< aux(816)*(1/3)+aux(820) s(14357) =< aux(816)*(1/3)+aux(820) s(14358) =< aux(816)*(1/3)+aux(820) s(14360) =< aux(816)*(1/3)+aux(820) s(14343) =< aux(816)*(1/3)+aux(820) s(14359) =< aux(816)*(1/3)+aux(820) s(14356) =< aux(816)*(3/7)+aux(827) s(14357) =< aux(816)*(3/7)+aux(827) s(14358) =< aux(816)*(3/7)+aux(827) s(14359) =< aux(816)*(3/7)+aux(827) s(14360) =< aux(816)*(3/7)+aux(827) s(14357) =< aux(816)*(1/5)+aux(826) s(14358) =< aux(816)*(1/5)+aux(826) s(14359) =< aux(816)*(1/5)+aux(826) s(14360) =< aux(816)*(1/5)+aux(826) s(14343) =< aux(816)*(1/5)+aux(826) s(14353) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14354) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14355) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14356) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14357) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14358) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14359) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14360) =< aux(816)*(5/9)+s(14342)*(1/9)+aux(828) s(14351) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14352) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14353) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14354) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14355) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14356) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14357) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14358) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14359) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14360) =< aux(816)*(2/3)+s(14342)*(1/3)+aux(818) s(14363) =< aux(816)*(7/20)+s(14342)*(1/20)+aux(823) s(14350) =< aux(816)*(7/20)+s(14342)*(1/20)+aux(823) s(14362) =< aux(816)*(3/8)+s(14342)*(1/8)+aux(819) s(14363) =< aux(816)*(3/8)+s(14342)*(1/8)+aux(819) s(14350) =< aux(816)*(3/8)+s(14342)*(1/8)+aux(819) s(14361) =< aux(816)*(1/4)+aux(817) s(14362) =< aux(816)*(1/4)+aux(817) s(14363) =< aux(816)*(1/4)+aux(817) s(14350) =< aux(816)*(1/4)+aux(817) s(14365) =< aux(816)*(5/13)+s(14342)*(2/13)+aux(824) s(14361) =< aux(816)*(5/13)+s(14342)*(2/13)+aux(824) s(14362) =< aux(816)*(5/13)+s(14342)*(2/13)+aux(824) s(14363) =< aux(816)*(5/13)+s(14342)*(2/13)+aux(824) s(14350) =< aux(816)*(5/13)+s(14342)*(2/13)+aux(824) s(14373) =< s(14360)*s(14367) s(14374) =< s(14360)*s(14368) s(14375) =< s(14360)*s(14369) s(14376) =< s(14359)*s(14368) s(14377) =< s(14356)*s(14370) s(14378) =< s(14356)*s(14368) s(14379) =< s(14355)*s(14371) s(14380) =< s(14353)*s(14370) s(14381) =< s(14352)*s(14371) s(14382) =< s(14351)*s(14371) s(14366) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14365) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14361) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14362) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14363) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14350) =< aux(816)*(13/32)+s(14343)*(1/32)+s(14342)*(7/32)+aux(825) s(14383) =< s(14350)*s(14367) s(14384) =< s(14350)*s(14369) s(14385) =< s(14363)*s(14372) s(14386) =< s(14362)*s(14370) s(14387) =< s(14365)*s(14372) s(14388) =< s(14366)*aux(815) s(14389) =< s(14373) s(14390) =< s(14375) s(14374) =< s(14375) s(14391) =< s(14364) s(14392) =< s(14376) s(14393) =< s(14378) s(14394) =< s(14382) s(14395) =< s(14384) s(14397) =< s(14383) s(14397) =< s(14384) s(14398) =< s(14384) s(14398) =< s(14383) s(14399) =< s(14398) s(14400) =< s(14383) s(14401) =< s(14386) s(14402) =< s(14387) s(14403) =< s(14388) s(14693) =< aux(815) s(15302) =< aux(811) s(15303) =< s(15268) s(15302) =< aux(812) s(14440) =< aux(832) s(15303) =< aux(812) s(15418) =< aux(816) s(15418) =< aux(815) s(15815) =< aux(846) s(15816) =< aux(846) s(15817) =< aux(846) s(15818) =< aux(846) s(15819) =< aux(846) s(15820) =< aux(846) s(15821) =< aux(846) s(15822) =< aux(846) s(15823) =< aux(846) s(15824) =< aux(846) s(15825) =< aux(846) s(15759) =< aux(846) s(15758) =< aux(846) s(15759) =< aux(848) s(15758) =< aux(848) s(15826) =< aux(849) s(15827) =< aux(849) s(15828) =< aux(849) s(15816) =< aux(850) s(15827) =< aux(851) s(15829) =< aux(852) s(15817) =< aux(852) s(15818) =< aux(852) s(15820) =< aux(852) s(15821) =< aux(852) s(15823) =< aux(852) s(15824) =< aux(852) s(15759) =< aux(852) s(15828) =< aux(855) s(15830) =< aux(856) s(15831) =< aux(857) s(15822) =< aux(858) s(15823) =< aux(858) s(15824) =< aux(858) s(15759) =< aux(858) s(15821) =< aux(859) s(15823) =< aux(859) s(15818) =< aux(860) s(15832) =< aux(847)+3 s(15833) =< aux(847)+4 s(15834) =< aux(847)+5 s(15835) =< aux(847)+1 s(15836) =< aux(847)+2 s(15837) =< aux(847)-2 s(15829) =< aux(848)*(1/3)+aux(852) s(15817) =< aux(848)*(1/3)+aux(852) s(15818) =< aux(848)*(1/3)+aux(852) s(15819) =< aux(848)*(1/3)+aux(852) s(15820) =< aux(848)*(1/3)+aux(852) s(15821) =< aux(848)*(1/3)+aux(852) s(15822) =< aux(848)*(1/3)+aux(852) s(15823) =< aux(848)*(1/3)+aux(852) s(15825) =< aux(848)*(1/3)+aux(852) s(15759) =< aux(848)*(1/3)+aux(852) s(15824) =< aux(848)*(1/3)+aux(852) s(15821) =< aux(848)*(3/7)+aux(859) s(15822) =< aux(848)*(3/7)+aux(859) s(15823) =< aux(848)*(3/7)+aux(859) s(15824) =< aux(848)*(3/7)+aux(859) s(15825) =< aux(848)*(3/7)+aux(859) s(15822) =< aux(848)*(1/5)+aux(858) s(15823) =< aux(848)*(1/5)+aux(858) s(15824) =< aux(848)*(1/5)+aux(858) s(15825) =< aux(848)*(1/5)+aux(858) s(15759) =< aux(848)*(1/5)+aux(858) s(15818) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15819) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15820) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15821) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15822) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15823) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15824) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15825) =< aux(848)*(5/9)+s(15758)*(1/9)+aux(860) s(15816) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15817) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15818) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15819) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15820) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15821) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15822) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15823) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15824) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15825) =< aux(848)*(2/3)+s(15758)*(1/3)+aux(850) s(15828) =< aux(848)*(7/20)+s(15758)*(1/20)+aux(855) s(15815) =< aux(848)*(7/20)+s(15758)*(1/20)+aux(855) s(15827) =< aux(848)*(3/8)+s(15758)*(1/8)+aux(851) s(15828) =< aux(848)*(3/8)+s(15758)*(1/8)+aux(851) s(15815) =< aux(848)*(3/8)+s(15758)*(1/8)+aux(851) s(15826) =< aux(848)*(1/4)+aux(849) s(15827) =< aux(848)*(1/4)+aux(849) s(15828) =< aux(848)*(1/4)+aux(849) s(15815) =< aux(848)*(1/4)+aux(849) s(15830) =< aux(848)*(5/13)+s(15758)*(2/13)+aux(856) s(15826) =< aux(848)*(5/13)+s(15758)*(2/13)+aux(856) s(15827) =< aux(848)*(5/13)+s(15758)*(2/13)+aux(856) s(15828) =< aux(848)*(5/13)+s(15758)*(2/13)+aux(856) s(15815) =< aux(848)*(5/13)+s(15758)*(2/13)+aux(856) s(15838) =< s(15825)*s(15832) s(15839) =< s(15825)*s(15833) s(15840) =< s(15825)*s(15834) s(15841) =< s(15824)*s(15833) s(15842) =< s(15821)*s(15835) s(15843) =< s(15821)*s(15833) s(15844) =< s(15820)*s(15836) s(15845) =< s(15818)*s(15835) s(15846) =< s(15817)*s(15836) s(15847) =< s(15816)*s(15836) s(15831) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15830) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15826) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15827) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15828) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15815) =< aux(848)*(13/32)+s(15759)*(1/32)+s(15758)*(7/32)+aux(857) s(15848) =< s(15815)*s(15832) s(15849) =< s(15815)*s(15834) s(15850) =< s(15828)*s(15837) s(15851) =< s(15827)*s(15835) s(15852) =< s(15830)*s(15837) s(15853) =< s(15831)*aux(847) s(15854) =< s(15838) s(15855) =< s(15840) s(15839) =< s(15840) s(15856) =< s(15829) s(15857) =< s(15841) s(15858) =< s(15843) s(15859) =< s(15847) s(15860) =< s(15849) s(15862) =< s(15848) s(15862) =< s(15849) s(15863) =< s(15849) s(15863) =< s(15848) s(15864) =< s(15863) s(15865) =< s(15848) s(15866) =< s(15851) s(15867) =< s(15852) s(15868) =< s(15853) s(15923) =< aux(847) s(14317) =< s(14312) s(14317) =< aux(813) s(14318) =< aux(813) s(14318) =< s(14312) s(14319) =< s(14318) s(14313) =< aux(813) s(14289) =< s(14284) s(14289) =< aux(831) s(14290) =< aux(831) s(14290) =< s(14284) s(14291) =< s(14290) s(14285) =< aux(831) with precondition: [] Closed-form bounds of start(V1,V,V14): ------------------------------------- * Chain [98] with precondition: [] - Upper bound: nat(V1)*34915+534+nat(V1)*8896*nat(2*V1)+nat(V)*36018+nat(V)*9174*nat(2*V)+nat(V14)*19097+nat(V14)*4865*nat(2*V14)+nat(nat(2*V1)+ -2)*128*nat(3/13*V1)+nat(nat(2*V1)+ -2)*64*nat(V1/2)+nat(nat(2*V)+ -2)*132*nat(3/13*V)+nat(nat(2*V)+ -2)*66*nat(V/2)+nat(nat(2*V14)+ -2)*70*nat(3/13*V14)+nat(nat(2*V14)+ -2)*35*nat(V14/2)+nat(2*V1)*92+nat(2*V1)*512*nat(3/16*V1)+nat(2*V1)*448*nat(V1/2)+nat(2*V)*258+nat(2*V)*528*nat(3/16*V)+nat(2*V)*462*nat(V/2)+nat(2*V14)*37+nat(2*V14)*280*nat(3/16*V14)+nat(2*V14)*245*nat(V14/2)+nat(2/3*V1)*192+nat(2/3*V)*198+nat(2/3*V14)*105+nat(3/13*V1)*320+nat(3/13*V)*330+nat(3/13*V14)*175+nat(3/16*V1)*320+nat(3/16*V)*330+nat(3/16*V14)*175+nat(2*V1+1)*8+nat(V1-V+1)*12+nat(V-2*V14+1)*12+nat(V1-V)*4+nat(V-V14)*20+nat(V-2*V14)*4+nat(V1/2)*1152+nat(V/2)*1188+nat(V14/2)*630 - Complexity: n^2 ### Maximum cost of start(V1,V,V14): nat(V1)*34915+534+nat(V1)*8896*nat(2*V1)+nat(V)*36018+nat(V)*9174*nat(2*V)+nat(V14)*19097+nat(V14)*4865*nat(2*V14)+nat(nat(2*V1)+ -2)*128*nat(3/13*V1)+nat(nat(2*V1)+ -2)*64*nat(V1/2)+nat(nat(2*V)+ -2)*132*nat(3/13*V)+nat(nat(2*V)+ -2)*66*nat(V/2)+nat(nat(2*V14)+ -2)*70*nat(3/13*V14)+nat(nat(2*V14)+ -2)*35*nat(V14/2)+nat(2*V1)*92+nat(2*V1)*512*nat(3/16*V1)+nat(2*V1)*448*nat(V1/2)+nat(2*V)*258+nat(2*V)*528*nat(3/16*V)+nat(2*V)*462*nat(V/2)+nat(2*V14)*37+nat(2*V14)*280*nat(3/16*V14)+nat(2*V14)*245*nat(V14/2)+nat(2/3*V1)*192+nat(2/3*V)*198+nat(2/3*V14)*105+nat(3/13*V1)*320+nat(3/13*V)*330+nat(3/13*V14)*175+nat(3/16*V1)*320+nat(3/16*V)*330+nat(3/16*V14)*175+nat(2*V1+1)*8+nat(V1-V+1)*12+nat(V-2*V14+1)*12+nat(V1-V)*4+nat(V-V14)*20+nat(V-2*V14)*4+nat(V1/2)*1152+nat(V/2)*1188+nat(V14/2)*630 Asymptotic class: n^2 * Total analysis performed in 153573 ms. ---------------------------------------- (14) BOUNDS(1, n^2) ---------------------------------------- (15) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (16) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST ---------------------------------------- (17) DecreasingLoopProof (LOWER BOUND(ID)) The following loop(s) give(s) rise to the lower bound Omega(n^1): The rewrite sequence minus(s(x), s(y)) ->^+ minus(x, y) gives rise to a decreasing loop by considering the right hand sides subterm at position []. The pumping substitution is [x / s(x), y / s(y)]. The result substitution is [ ]. ---------------------------------------- (18) Complex Obligation (BEST) ---------------------------------------- (19) Obligation: Proved the lower bound n^1 for the following obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST ---------------------------------------- (20) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (21) BOUNDS(n^1, INF) ---------------------------------------- (22) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) minus(x, 0) -> x minus(s(x), s(y)) -> minus(x, y) mod(0, y) -> 0 mod(s(x), 0) -> 0 mod(s(x), s(y)) -> if_mod(le(y, x), s(x), s(y)) if_mod(true, s(x), s(y)) -> mod(minus(x, y), s(y)) if_mod(false, s(x), s(y)) -> s(x) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(true) -> true encArg(s(x_1)) -> s(encArg(x_1)) encArg(false) -> false encArg(cons_le(x_1, x_2)) -> le(encArg(x_1), encArg(x_2)) encArg(cons_minus(x_1, x_2)) -> minus(encArg(x_1), encArg(x_2)) encArg(cons_mod(x_1, x_2)) -> mod(encArg(x_1), encArg(x_2)) encArg(cons_if_mod(x_1, x_2, x_3)) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) encode_le(x_1, x_2) -> le(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_true -> true encode_s(x_1) -> s(encArg(x_1)) encode_false -> false encode_minus(x_1, x_2) -> minus(encArg(x_1), encArg(x_2)) encode_mod(x_1, x_2) -> mod(encArg(x_1), encArg(x_2)) encode_if_mod(x_1, x_2, x_3) -> if_mod(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST