/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, n^2).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), 236 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), 14 ms] (12) CpxRNTS (13) CompleteCoflocoProof [FINISHED, 174.1 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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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] pred(s(x)) -> x [1] minus(x, 0) -> x [1] minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) [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_pred(x_1) -> pred(encArg(x_1)) [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] pred(s(x)) -> x [1] minus(x, 0) -> x [1] minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) [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_pred(x_1) -> pred(encArg(x_1)) [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_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod 0 :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod true :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod s :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod false :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod pred :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod minus :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod if_mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encArg :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod cons_le :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod cons_pred :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod cons_minus :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod cons_mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod cons_if_mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_le :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_0 :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_true :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_s :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_false :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_pred :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_minus :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod encode_if_mod :: 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred:cons_minus:cons_mod:cons_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred(v0) -> null_encode_pred [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] pred(v0) -> null_pred [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_pred, null_encode_minus, null_encode_mod, null_encode_if_mod, null_le, null_pred, 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] pred(s(x)) -> x [1] minus(x, 0) -> x [1] minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) [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_pred(x_1) -> pred(encArg(x_1)) [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_pred(v0) -> null_encode_pred [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] pred(v0) -> null_pred [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_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod 0 :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod true :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod s :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod false :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod pred :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod minus :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod if_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encArg :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod cons_le :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod cons_pred :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod cons_minus :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod cons_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod cons_if_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_le :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_0 :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_true :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_s :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_false :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_pred :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_minus :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod encode_if_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod -> 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encArg :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_le :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_0 :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_true :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_s :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_false :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_pred :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_minus :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_encode_if_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_le :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_pred :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_minus :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred:null_minus:null_mod:null_if_mod null_if_mod :: 0:true:s:false:cons_le:cons_pred: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_pred:null_encode_minus:null_encode_mod:null_encode_if_mod:null_le:null_pred: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_pred => 0 null_encode_minus => 0 null_encode_mod => 0 null_encode_if_mod => 0 null_le => 0 null_pred => 0 null_minus => 0 null_mod => 0 null_if_mod => 0 ---------------------------------------- (12) Obligation: Complexity RNTS consisting of the following rules: encArg(z) -{ 0 }-> pred(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 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_pred(z) -{ 0 }-> pred(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_pred(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 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 }-> pred(minus(x, y)) :|: z' = 1 + y, x >= 0, y >= 0, z = 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 pred(z) -{ 1 }-> x :|: x >= 0, z = 1 + x pred(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 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, V15),0,[le(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[pred(V1, Out)],[V1 >= 0]). eq(start(V1, V, V15),0,[minus(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[mod(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[fun(V1, V, V15, Out)],[V1 >= 0,V >= 0,V15 >= 0]). eq(start(V1, V, V15),0,[encArg(V1, Out)],[V1 >= 0]). eq(start(V1, V, V15),0,[fun1(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[fun2(Out)],[]). eq(start(V1, V, V15),0,[fun3(Out)],[]). eq(start(V1, V, V15),0,[fun4(V1, Out)],[V1 >= 0]). eq(start(V1, V, V15),0,[fun5(Out)],[]). eq(start(V1, V, V15),0,[fun6(V1, Out)],[V1 >= 0]). eq(start(V1, V, V15),0,[fun7(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[fun8(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V15),0,[fun9(V1, V, V15, Out)],[V1 >= 0,V >= 0,V15 >= 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(pred(V1, Out),1,[],[Out = V6,V6 >= 0,V1 = 1 + V6]). eq(minus(V1, V, Out),1,[],[Out = V7,V7 >= 0,V1 = V7,V = 0]). eq(minus(V1, V, Out),1,[minus(V8, V9, Ret0),pred(Ret0, Ret1)],[Out = Ret1,V = 1 + V9,V8 >= 0,V9 >= 0,V1 = V8]). eq(mod(V1, V, Out),1,[],[Out = 0,V10 >= 0,V1 = 0,V = V10]). eq(mod(V1, V, Out),1,[],[Out = 0,V11 >= 0,V1 = 1 + V11,V = 0]). eq(mod(V1, V, Out),1,[le(V12, V13, Ret01),fun(Ret01, 1 + V13, 1 + V12, Ret2)],[Out = Ret2,V = 1 + V12,V13 >= 0,V12 >= 0,V1 = 1 + V13]). eq(fun(V1, V, V15, Out),1,[minus(V16, V14, Ret02),mod(Ret02, 1 + V14, Ret3)],[Out = Ret3,V1 = 2,V = 1 + V16,V16 >= 0,V14 >= 0,V15 = 1 + V14]). eq(fun(V1, V, V15, Out),1,[],[Out = 1 + V17,V = 1 + V17,V1 = 1,V17 >= 0,V18 >= 0,V15 = 1 + V18]). eq(encArg(V1, Out),0,[],[Out = 0,V1 = 0]). eq(encArg(V1, Out),0,[],[Out = 2,V1 = 2]). eq(encArg(V1, Out),0,[encArg(V19, Ret11)],[Out = 1 + Ret11,V1 = 1 + V19,V19 >= 0]). eq(encArg(V1, Out),0,[],[Out = 1,V1 = 1]). eq(encArg(V1, Out),0,[encArg(V20, Ret03),encArg(V21, Ret12),le(Ret03, Ret12, Ret4)],[Out = Ret4,V20 >= 0,V1 = 1 + V20 + V21,V21 >= 0]). eq(encArg(V1, Out),0,[encArg(V22, Ret04),pred(Ret04, Ret5)],[Out = Ret5,V1 = 1 + V22,V22 >= 0]). eq(encArg(V1, Out),0,[encArg(V24, Ret05),encArg(V23, Ret13),minus(Ret05, Ret13, Ret6)],[Out = Ret6,V24 >= 0,V1 = 1 + V23 + V24,V23 >= 0]). eq(encArg(V1, Out),0,[encArg(V26, Ret06),encArg(V25, Ret14),mod(Ret06, Ret14, Ret7)],[Out = Ret7,V26 >= 0,V1 = 1 + V25 + V26,V25 >= 0]). eq(encArg(V1, Out),0,[encArg(V29, Ret07),encArg(V28, Ret15),encArg(V27, Ret21),fun(Ret07, Ret15, Ret21, Ret8)],[Out = Ret8,V29 >= 0,V1 = 1 + V27 + V28 + V29,V27 >= 0,V28 >= 0]). eq(fun1(V1, V, Out),0,[encArg(V30, Ret08),encArg(V31, Ret16),le(Ret08, Ret16, Ret9)],[Out = Ret9,V30 >= 0,V31 >= 0,V1 = V30,V = V31]). eq(fun2(Out),0,[],[Out = 0]). eq(fun3(Out),0,[],[Out = 2]). eq(fun4(V1, Out),0,[encArg(V32, Ret17)],[Out = 1 + Ret17,V32 >= 0,V1 = V32]). eq(fun5(Out),0,[],[Out = 1]). eq(fun6(V1, Out),0,[encArg(V33, Ret09),pred(Ret09, Ret10)],[Out = Ret10,V33 >= 0,V1 = V33]). eq(fun7(V1, V, Out),0,[encArg(V34, Ret010),encArg(V35, Ret18),minus(Ret010, Ret18, Ret19)],[Out = Ret19,V34 >= 0,V35 >= 0,V1 = V34,V = V35]). eq(fun8(V1, V, Out),0,[encArg(V37, Ret011),encArg(V36, Ret110),mod(Ret011, Ret110, Ret20)],[Out = Ret20,V37 >= 0,V36 >= 0,V1 = V37,V = V36]). eq(fun9(V1, V, V15, Out),0,[encArg(V39, Ret012),encArg(V40, Ret111),encArg(V38, Ret22),fun(Ret012, Ret111, Ret22, Ret23)],[Out = Ret23,V39 >= 0,V38 >= 0,V40 >= 0,V1 = V39,V = V40,V15 = V38]). eq(encArg(V1, Out),0,[],[Out = 0,V41 >= 0,V1 = V41]). eq(fun1(V1, V, Out),0,[],[Out = 0,V43 >= 0,V42 >= 0,V1 = V43,V = V42]). eq(fun3(Out),0,[],[Out = 0]). eq(fun4(V1, Out),0,[],[Out = 0,V44 >= 0,V1 = V44]). eq(fun5(Out),0,[],[Out = 0]). eq(fun6(V1, Out),0,[],[Out = 0,V45 >= 0,V1 = V45]). eq(fun7(V1, V, Out),0,[],[Out = 0,V46 >= 0,V47 >= 0,V1 = V46,V = V47]). eq(fun8(V1, V, Out),0,[],[Out = 0,V48 >= 0,V49 >= 0,V1 = V48,V = V49]). eq(fun9(V1, V, V15, Out),0,[],[Out = 0,V50 >= 0,V15 = V52,V51 >= 0,V1 = V50,V = V51,V52 >= 0]). eq(le(V1, V, Out),0,[],[Out = 0,V53 >= 0,V54 >= 0,V1 = V53,V = V54]). eq(pred(V1, Out),0,[],[Out = 0,V55 >= 0,V1 = V55]). eq(minus(V1, V, Out),0,[],[Out = 0,V57 >= 0,V56 >= 0,V1 = V57,V = V56]). eq(mod(V1, V, Out),0,[],[Out = 0,V59 >= 0,V58 >= 0,V1 = V59,V = V58]). eq(fun(V1, V, V15, Out),0,[],[Out = 0,V62 >= 0,V15 = V61,V60 >= 0,V1 = V62,V = V60,V61 >= 0]). input_output_vars(le(V1,V,Out),[V1,V],[Out]). input_output_vars(pred(V1,Out),[V1],[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,V15,Out),[V1,V,V15],[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,Out),[V1],[Out]). input_output_vars(fun7(V1,V,Out),[V1,V],[Out]). input_output_vars(fun8(V1,V,Out),[V1,V],[Out]). input_output_vars(fun9(V1,V,V15,Out),[V1,V,V15],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. non_recursive : [pred/2] 1. recursive [non_tail] : [minus/3] 2. recursive : [le/3] 3. recursive : [fun/4,(mod)/3] 4. recursive [non_tail,multiple] : [encArg/2] 5. non_recursive : [fun1/3] 6. non_recursive : [fun2/1] 7. non_recursive : [fun3/1] 8. non_recursive : [fun4/2] 9. non_recursive : [fun5/1] 10. non_recursive : [fun6/2] 11. non_recursive : [fun7/3] 12. non_recursive : [fun8/3] 13. non_recursive : [fun9/4] 14. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into pred/2 1. SCC is partially evaluated into minus/3 2. SCC is partially evaluated into le/3 3. SCC is partially evaluated into (mod)/3 4. SCC is partially evaluated into encArg/2 5. SCC is partially evaluated into fun1/3 6. SCC is completely evaluated into other SCCs 7. SCC is partially evaluated into fun3/1 8. SCC is partially evaluated into fun4/2 9. SCC is partially evaluated into fun5/1 10. SCC is partially evaluated into fun6/2 11. SCC is partially evaluated into fun7/3 12. SCC is partially evaluated into fun8/3 13. SCC is partially evaluated into fun9/4 14. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations pred/2 * CE 30 is refined into CE [61] * CE 31 is refined into CE [62] ### Cost equations --> "Loop" of pred/2 * CEs [61] --> Loop 33 * CEs [62] --> Loop 34 ### Ranking functions of CR pred(V1,Out) #### Partial ranking functions of CR pred(V1,Out) ### Specialization of cost equations minus/3 * CE 19 is refined into CE [63] * CE 17 is refined into CE [64] * CE 18 is refined into CE [65,66] ### Cost equations --> "Loop" of minus/3 * CEs [66] --> Loop 35 * CEs [65] --> Loop 36 * CEs [63] --> Loop 37 * CEs [64] --> Loop 38 ### Ranking functions of CR minus(V1,V,Out) * RF of phase [35]: [V] * RF of phase [36]: [V] #### Partial ranking functions of CR minus(V1,V,Out) * Partial RF of phase [35]: - RF of loop [35:1]: V * Partial RF of phase [36]: - RF of loop [36:1]: V ### Specialization of cost equations le/3 * CE 29 is refined into CE [67] * CE 27 is refined into CE [68] * CE 26 is refined into CE [69] * CE 28 is refined into CE [70] ### Cost equations --> "Loop" of le/3 * CEs [70] --> Loop 39 * CEs [67] --> Loop 40 * CEs [68] --> Loop 41 * CEs [69] --> Loop 42 ### Ranking functions of CR le(V1,V,Out) * RF of phase [39]: [V,V1] #### Partial ranking functions of CR le(V1,V,Out) * Partial RF of phase [39]: - RF of loop [39:1]: V V1 ### Specialization of cost equations (mod)/3 * CE 21 is refined into CE [71,72] * CE 24 is refined into CE [73] * CE 20 is refined into CE [74,75,76,77,78] * CE 23 is refined into CE [79] * CE 25 is refined into CE [80] * CE 22 is refined into CE [81,82,83,84] ### Cost equations --> "Loop" of (mod)/3 * CEs [84] --> Loop 43 * CEs [83] --> Loop 44 * CEs [81] --> Loop 45 * CEs [82] --> Loop 46 * CEs [72] --> Loop 47 * CEs [74] --> Loop 48 * CEs [73] --> Loop 49 * CEs [71] --> Loop 50 * CEs [75] --> Loop 51 * CEs [76,77,78,79,80] --> Loop 52 ### Ranking functions of CR mod(V1,V,Out) * RF of phase [43]: [V1-1,V1-V+1] * RF of phase [45]: [V1] #### Partial ranking functions of CR mod(V1,V,Out) * Partial RF of phase [43]: - RF of loop [43:1]: V1-1 V1-V+1 * Partial RF of phase [45]: - RF of loop [45:1]: V1 ### Specialization of cost equations encArg/2 * CE 35 is refined into CE [85] * CE 36 is refined into CE [86] * CE 38 is refined into CE [87] * CE 39 is refined into CE [88,89,90,91,92] * CE 41 is refined into CE [93,94,95] * CE 42 is refined into CE [96,97,98,99,100,101,102] * CE 37 is refined into CE [103] * CE 40 is refined into CE [104,105] * CE 34 is refined into CE [106,107,108,109,110,111,112,113] * CE 33 is refined into CE [114] * CE 32 is refined into CE [115] ### Cost equations --> "Loop" of encArg/2 * CEs [113] --> Loop 53 * CEs [112] --> Loop 54 * CEs [114] --> Loop 55 * CEs [111] --> Loop 56 * CEs [110] --> Loop 57 * CEs [106,107,108,109,115] --> Loop 58 * CEs [103] --> Loop 59 * CEs [105] --> Loop 60 * CEs [104] --> Loop 61 * CEs [102] --> Loop 62 * CEs [95] --> Loop 63 * CEs [101] --> Loop 64 * CEs [93] --> Loop 65 * CEs [92] --> Loop 66 * CEs [88] --> Loop 67 * CEs [91,100] --> Loop 68 * CEs [89] --> Loop 69 * CEs [97] --> Loop 70 * CEs [99] --> Loop 71 * CEs [90,94,96,98] --> Loop 72 * CEs [85] --> Loop 73 * CEs [86] --> Loop 74 * CEs [87] --> Loop 75 ### Ranking functions of CR encArg(V1,Out) * RF of phase [53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72]: [V1] #### Partial ranking functions of CR encArg(V1,Out) * Partial RF of phase [53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72]: - RF of loop [53:1,53:2,53:3,54:1,54:2,54:3,55:1,55:2,55:3,56:1,56:2,56:3,57:1,57:2,57:3,58:1,58:2,58:3,59:1,60:1,61:1,62:1,62:2,63:1,63:2,64:1,64:2,65:1,65:2,66:1,66:2,67:1,67:2,68:1,68:2,69:1,69:2,70:1,70:2,71:1,71:2,72:1,72:2]: V1 ### Specialization of cost equations fun1/3 * CE 43 is refined into CE [116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141] * CE 44 is refined into CE [142] ### Cost equations --> "Loop" of fun1/3 * CEs [121,124,138] --> Loop 76 * CEs [123] --> Loop 77 * CEs [122,139] --> Loop 78 * CEs [117,119,126,128,130,134] --> Loop 79 * CEs [116,120,125,131,133,136,140] --> Loop 80 * CEs [118,127,129,132,135,137,141,142] --> Loop 81 ### Ranking functions of CR fun1(V1,V,Out) #### Partial ranking functions of CR fun1(V1,V,Out) ### Specialization of cost equations fun3/1 * CE 45 is refined into CE [143] * CE 46 is refined into CE [144] ### Cost equations --> "Loop" of fun3/1 * CEs [143] --> Loop 82 * CEs [144] --> Loop 83 ### Ranking functions of CR fun3(Out) #### Partial ranking functions of CR fun3(Out) ### Specialization of cost equations fun4/2 * CE 47 is refined into CE [145,146,147] * CE 48 is refined into CE [148] ### Cost equations --> "Loop" of fun4/2 * CEs [147] --> Loop 84 * CEs [148] --> Loop 85 * CEs [145,146] --> Loop 86 ### Ranking functions of CR fun4(V1,Out) #### Partial ranking functions of CR fun4(V1,Out) ### Specialization of cost equations fun5/1 * CE 49 is refined into CE [149] * CE 50 is refined into CE [150] ### Cost equations --> "Loop" of fun5/1 * CEs [149] --> Loop 87 * CEs [150] --> Loop 88 ### Ranking functions of CR fun5(Out) #### Partial ranking functions of CR fun5(Out) ### Specialization of cost equations fun6/2 * CE 51 is refined into CE [151,152,153,154,155] * CE 52 is refined into CE [156] ### Cost equations --> "Loop" of fun6/2 * CEs [152,154] --> Loop 89 * CEs [151,153,155,156] --> Loop 90 ### Ranking functions of CR fun6(V1,Out) #### Partial ranking functions of CR fun6(V1,Out) ### Specialization of cost equations fun7/3 * CE 53 is refined into CE [157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175] * CE 54 is refined into CE [176] ### Cost equations --> "Loop" of fun7/3 * CEs [161] --> Loop 91 * CEs [160,173] --> Loop 92 * CEs [166] --> Loop 93 * CEs [157,159,162,164,169] --> Loop 94 * CEs [158,163,165,167,168,170,171,172,174,175,176] --> Loop 95 ### Ranking functions of CR fun7(V1,V,Out) #### Partial ranking functions of CR fun7(V1,V,Out) ### Specialization of cost equations fun8/3 * CE 55 is refined into CE [177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198] * CE 56 is refined into CE [199] ### Cost equations --> "Loop" of fun8/3 * CEs [183] --> Loop 96 * CEs [178,181,185,186] --> Loop 97 * CEs [184,197] --> Loop 98 * CEs [182,192] --> Loop 99 * CEs [177,179,180,187,188,189,190,191,193,194,195,196,198,199] --> Loop 100 ### Ranking functions of CR fun8(V1,V,Out) #### Partial ranking functions of CR fun8(V1,V,Out) ### Specialization of cost equations fun9/4 * CE 57 is refined into CE [200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226] * CE 58 is refined into CE [227,228,229,230] * CE 59 is refined into CE [231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266] * CE 60 is refined into CE [267] ### Cost equations --> "Loop" of fun9/4 * CEs [228,241,242] --> Loop 101 * CEs [229,230] --> Loop 102 * CEs [203,204,205,221,222,223,243,244,245,246,247,248] --> Loop 103 * CEs [255,256] --> Loop 104 * CEs [227,235,236,237,238,253,254,259,260] --> Loop 105 * CEs [201,207,210,216,219,225,239,240,257,258] --> Loop 106 * CEs [200,202,206,208,209,211,212,213,214,215,217,218,220,224,226,231,232,233,234,249,250,251,252,261,262,263,264,265,266,267] --> Loop 107 ### Ranking functions of CR fun9(V1,V,V15,Out) #### Partial ranking functions of CR fun9(V1,V,V15,Out) ### Specialization of cost equations start/3 * CE 1 is refined into CE [268] * CE 2 is refined into CE [269] * CE 3 is refined into CE [270,271,272,273,274,275,276,277] * CE 4 is refined into CE [278,279,280,281,282] * CE 5 is refined into CE [283,284] * CE 6 is refined into CE [285,286,287] * CE 7 is refined into CE [288,289,290,291,292,293,294] * CE 8 is refined into CE [295,296,297] * CE 9 is refined into CE [298,299,300] * CE 10 is refined into CE [301,302] * CE 11 is refined into CE [303,304,305] * CE 12 is refined into CE [306,307] * CE 13 is refined into CE [308,309] * CE 14 is refined into CE [310,311,312] * CE 15 is refined into CE [313,314,315] * CE 16 is refined into CE [316,317,318,319,320] ### Cost equations --> "Loop" of start/3 * CEs [268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320] --> Loop 108 ### Ranking functions of CR start(V1,V,V15) #### Partial ranking functions of CR start(V1,V,V15) Computing Bounds ===================================== #### Cost of chains of pred(V1,Out): * Chain [34]: 0 with precondition: [Out=0,V1>=0] * Chain [33]: 1 with precondition: [V1=Out+1,V1>=1] #### Cost of chains of minus(V1,V,Out): * Chain [[36],[35],38]: 3*it(35)+1 Such that:aux(1) =< V it(35) =< aux(1) with precondition: [Out=0,V1>=1,V>=2] * Chain [[36],38]: 1*it(36)+1 Such that:it(36) =< V with precondition: [Out=0,V1>=0,V>=1] * Chain [[36],37]: 1*it(36)+0 Such that:it(36) =< V with precondition: [Out=0,V1>=0,V>=1] * Chain [[35],38]: 2*it(35)+1 Such that:it(35) =< V with precondition: [V1=Out+V,V>=1,V1>=V] * Chain [38]: 1 with precondition: [V=0,V1=Out,V1>=0] * Chain [37]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of le(V1,V,Out): * Chain [[39],42]: 1*it(39)+1 Such that:it(39) =< V1 with precondition: [Out=2,V1>=1,V>=V1] * Chain [[39],41]: 1*it(39)+1 Such that:it(39) =< V with precondition: [Out=1,V>=1,V1>=V+1] * Chain [[39],40]: 1*it(39)+0 Such that:it(39) =< V with precondition: [Out=0,V1>=1,V>=1] * Chain [42]: 1 with precondition: [V1=0,Out=2,V>=0] * Chain [41]: 1 with precondition: [V=0,Out=1,V1>=1] * Chain [40]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of mod(V1,V,Out): * Chain [[45],52]: 6*it(45)+1*s(8)+2 Such that:s(8) =< 1 aux(4) =< V1 it(45) =< aux(4) with precondition: [V=1,Out=0,V1>=1] * Chain [[45],48]: 4*it(45)+2 Such that:it(45) =< V1 with precondition: [V=1,Out=0,V1>=2] * Chain [[45],46,52]: 4*it(45)+1*s(8)+6 Such that:s(8) =< 1 it(45) =< V1 with precondition: [V=1,Out=0,V1>=2] * Chain [[43],52]: 9*it(43)+1*s(8)+2 Such that:s(8) =< V aux(8) =< V1 it(43) =< aux(8) with precondition: [Out=0,V>=2,V1>=V] * Chain [[43],51]: 4*it(43)+3*s(15)+2 Such that:it(43) =< V1-V+1 aux(9) =< V1 it(43) =< aux(9) s(15) =< aux(9) with precondition: [Out=0,V>=2,V1>=V+1] * Chain [[43],50]: 4*it(43)+3*s(15)+3 Such that:it(43) =< V1-V+1 aux(10) =< V1 it(43) =< aux(10) s(15) =< aux(10) with precondition: [Out=1,V>=2,V1>=V+1] * Chain [[43],47]: 4*it(43)+3*s(15)+1*s(17)+3 Such that:aux(6) =< V1 it(43) =< V1-V+1 aux(7) =< V1-Out s(17) =< Out it(43) =< aux(6) s(16) =< aux(6) it(43) =< aux(7) s(16) =< aux(7) s(15) =< s(16) with precondition: [Out>=2,V>=Out+1,V1>=Out+V] * Chain [[43],44,52]: 4*it(43)+7*s(8)+3*s(15)+6 Such that:aux(6) =< V1 aux(12) =< V aux(13) =< V1-V it(43) =< aux(13) s(8) =< aux(12) it(43) =< aux(6) s(16) =< aux(6) s(16) =< aux(13) s(15) =< s(16) with precondition: [Out=0,V>=2,V1>=2*V] * Chain [52]: 2*s(6)+1*s(8)+2 Such that:s(8) =< V aux(3) =< V1 s(6) =< aux(3) with precondition: [Out=0,V1>=0,V>=0] * Chain [51]: 2 with precondition: [V1=1,Out=0,V>=2] * Chain [50]: 3 with precondition: [V1=1,Out=1,V>=2] * Chain [49]: 1 with precondition: [V=0,Out=0,V1>=1] * Chain [48]: 2 with precondition: [V=1,Out=0,V1>=1] * Chain [47]: 1*s(17)+3 Such that:s(17) =< V1 with precondition: [V1=Out,V1>=2,V>=V1+1] * Chain [46,52]: 1*s(8)+6 Such that:s(8) =< 1 with precondition: [V=1,Out=0,V1>=1] * Chain [44,52]: 7*s(8)+6 Such that:aux(12) =< V s(8) =< aux(12) with precondition: [Out=0,V>=2,V1>=V] #### Cost of chains of encArg(V1,Out): * Chain [75]: 0 with precondition: [V1=1,Out=1] * Chain [74]: 0 with precondition: [V1=2,Out=2] * Chain [73]: 0 with precondition: [Out=0,V1>=0] * Chain [multiple([53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72],[[75],[74],[73]])]: 5*it(53)+5*it(54)+1*it(55)+5*it(56)+5*it(57)+8*it(58)+20*it(60)+3*it(62)+1*it(63)+3*it(64)+2*it(65)+1*it(66)+3*it(68)+1*it(69)+3*it(70)+6*it(71)+6*it(72)+10*s(158)+3*s(160)+9*s(162)+2*s(164)+18*s(165)+4*s(167)+3*s(168)+78*s(169)+8*s(176)+2*s(178)+1*s(179)+1*s(180)+1*s(181)+7*s(182)+3*s(184)+14*s(185)+22*s(188)+4*s(189)+21*s(190)+0 Such that:aux(32) =< 2*V1 it([75]) =< 2/3*V1+1/3 it([74]) =< 2/5*V1+1/5 aux(63) =< V1 aux(64) =< 2*V1+1 aux(65) =< V1/2 aux(66) =< V1/3 aux(67) =< V1/4 aux(68) =< 2/3*V1 aux(69) =< 3/10*V1 aux(70) =< 3/13*V1 aux(71) =< 3/16*V1 aux(72) =< 4/5*V1 aux(73) =< 4/7*V1 aux(74) =< 4/9*V1 it(58) =< aux(63) it(60) =< aux(63) it(62) =< aux(63) it(63) =< aux(63) it(64) =< aux(63) it(65) =< aux(63) it(66) =< aux(63) it(68) =< aux(63) it(69) =< aux(63) it(70) =< aux(63) it(71) =< aux(63) it(72) =< aux(63) it([74]) =< aux(63) it([75]) =< aux(63) it([73]) =< aux(64) it([74]) =< aux(64) it([75]) =< aux(64) it(55) =< aux(65) it(56) =< aux(65) it(57) =< aux(65) it(62) =< aux(66) it(56) =< aux(67) aux(58) =< aux(68) it(63) =< aux(68) it(64) =< aux(68) it(66) =< aux(68) it(68) =< aux(68) it(70) =< aux(68) it(71) =< aux(68) it([74]) =< aux(68) it(57) =< aux(69) it(54) =< aux(70) it(53) =< aux(71) it(69) =< aux(72) it(70) =< aux(72) it(71) =< aux(72) it([74]) =< aux(72) it(68) =< aux(73) it(70) =< aux(73) it(64) =< aux(74) aux(42) =< aux(32)+3 aux(53) =< aux(32)+4 aux(41) =< aux(32)+5 aux(37) =< aux(32)+1 aux(45) =< aux(32)+2 aux(34) =< aux(32)-2 aux(58) =< it([73])*(1/3)+aux(68) it(63) =< it([73])*(1/3)+aux(68) it(64) =< it([73])*(1/3)+aux(68) it(65) =< it([73])*(1/3)+aux(68) it(66) =< it([73])*(1/3)+aux(68) it(68) =< it([73])*(1/3)+aux(68) it(69) =< it([73])*(1/3)+aux(68) it(70) =< it([73])*(1/3)+aux(68) it(72) =< it([73])*(1/3)+aux(68) it([74]) =< it([73])*(1/3)+aux(68) it(71) =< it([73])*(1/3)+aux(68) it(68) =< it([73])*(3/7)+aux(73) it(69) =< it([73])*(3/7)+aux(73) it(70) =< it([73])*(3/7)+aux(73) it(71) =< it([73])*(3/7)+aux(73) it(72) =< it([73])*(3/7)+aux(73) it(69) =< it([73])*(1/5)+aux(72) it(70) =< it([73])*(1/5)+aux(72) it(71) =< it([73])*(1/5)+aux(72) it(72) =< it([73])*(1/5)+aux(72) it([74]) =< it([73])*(1/5)+aux(72) it(64) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(65) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(66) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(68) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(69) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(70) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(71) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(72) =< it([73])*(5/9)+it([75])*(1/9)+aux(74) it(62) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(63) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(64) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(65) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(66) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(68) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(69) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(70) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(71) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(72) =< it([73])*(2/3)+it([75])*(1/3)+aux(66) it(57) =< it([73])*(7/20)+it([75])*(1/20)+aux(69) it(58) =< it([73])*(7/20)+it([75])*(1/20)+aux(69) it(56) =< it([73])*(3/8)+it([75])*(1/8)+aux(67) it(57) =< it([73])*(3/8)+it([75])*(1/8)+aux(67) it(58) =< it([73])*(3/8)+it([75])*(1/8)+aux(67) it(55) =< it([73])*(1/4)+aux(65) it(56) =< it([73])*(1/4)+aux(65) it(57) =< it([73])*(1/4)+aux(65) it(58) =< it([73])*(1/4)+aux(65) it(54) =< it([73])*(5/13)+it([75])*(2/13)+aux(70) it(55) =< it([73])*(5/13)+it([75])*(2/13)+aux(70) it(56) =< it([73])*(5/13)+it([75])*(2/13)+aux(70) it(57) =< it([73])*(5/13)+it([75])*(2/13)+aux(70) it(58) =< it([73])*(5/13)+it([75])*(2/13)+aux(70) s(192) =< it(72)*aux(42) s(189) =< it(72)*aux(53) s(191) =< it(72)*aux(41) s(186) =< it(71)*aux(53) s(181) =< it(68)*aux(37) s(183) =< it(68)*aux(53) s(180) =< it(66)*aux(45) s(179) =< it(64)*aux(37) s(178) =< it(63)*aux(45) s(177) =< it(62)*aux(45) it(53) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) it(54) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) it(55) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) it(56) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) it(57) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) it(58) =< it([73])*(13/32)+it([74])*(1/32)+it([75])*(7/32)+aux(71) s(171) =< it(58)*aux(42) s(174) =< it(58)*aux(41) s(164) =< it(57)*aux(34) s(163) =< it(56)*aux(37) s(161) =< it(54)*aux(34) s(159) =< it(53)*aux(32) s(188) =< s(192) s(190) =< s(191) s(189) =< s(191) s(184) =< aux(58) s(185) =< s(186) s(182) =< s(183) s(176) =< s(177) s(165) =< s(174) s(167) =< s(171) s(167) =< s(174) s(173) =< s(174) s(173) =< s(171) s(168) =< s(173) s(169) =< s(171) s(162) =< s(163) s(160) =< s(161) s(158) =< s(159) with precondition: [V1>=1,Out>=0,2*V1>=Out] #### Cost of chains of fun1(V1,V,Out): * Chain [81]: 16*s(278)+40*s(279)+6*s(280)+2*s(281)+6*s(282)+4*s(283)+2*s(284)+6*s(285)+2*s(286)+6*s(287)+12*s(288)+12*s(289)+2*s(290)+10*s(291)+10*s(292)+10*s(294)+10*s(295)+8*s(303)+2*s(306)+2*s(308)+2*s(309)+4*s(310)+4*s(314)+44*s(318)+42*s(319)+6*s(320)+28*s(321)+14*s(322)+16*s(323)+36*s(324)+8*s(325)+6*s(327)+156*s(328)+18*s(329)+6*s(330)+20*s(331)+24*s(347)+60*s(348)+9*s(349)+3*s(350)+9*s(351)+6*s(352)+3*s(353)+9*s(354)+3*s(355)+9*s(356)+18*s(357)+18*s(358)+3*s(359)+15*s(360)+15*s(361)+15*s(363)+15*s(364)+12*s(372)+3*s(375)+3*s(377)+3*s(378)+6*s(379)+6*s(383)+66*s(387)+63*s(388)+9*s(389)+42*s(390)+21*s(391)+24*s(392)+54*s(393)+12*s(394)+9*s(396)+234*s(397)+27*s(398)+9*s(399)+30*s(400)+3*s(401)+1*s(542)+0 Such that:s(542) =< 2 aux(78) =< V1 aux(79) =< 2*V1 aux(80) =< 2*V1+1 aux(81) =< V1/2 aux(82) =< V1/3 aux(83) =< V1/4 aux(84) =< 2/3*V1 aux(85) =< 2/3*V1+1/3 aux(86) =< 2/5*V1+1/5 aux(87) =< 3/10*V1 aux(88) =< 3/13*V1 aux(89) =< 3/16*V1 aux(90) =< 4/5*V1 aux(91) =< 4/7*V1 aux(92) =< 4/9*V1 aux(93) =< V aux(94) =< 2*V aux(95) =< 2*V+1 aux(96) =< V/2 aux(97) =< V/3 aux(98) =< V/4 aux(99) =< 2/3*V aux(100) =< 2/3*V+1/3 aux(101) =< 2/5*V+1/5 aux(102) =< 3/10*V aux(103) =< 3/13*V aux(104) =< 3/16*V aux(105) =< 4/5*V aux(106) =< 4/7*V aux(107) =< 4/9*V s(270) =< aux(85) s(271) =< aux(86) s(339) =< aux(100) s(340) =< aux(101) s(401) =< aux(94) s(347) =< aux(93) s(348) =< aux(93) s(349) =< aux(93) s(350) =< aux(93) s(351) =< aux(93) s(352) =< aux(93) s(353) =< aux(93) s(354) =< aux(93) s(355) =< aux(93) s(356) =< aux(93) s(357) =< aux(93) s(358) =< aux(93) s(340) =< aux(93) s(339) =< aux(93) s(340) =< aux(95) s(339) =< aux(95) s(359) =< aux(96) s(360) =< aux(96) s(361) =< aux(96) s(349) =< aux(97) s(360) =< aux(98) s(362) =< aux(99) s(350) =< aux(99) s(351) =< aux(99) s(353) =< aux(99) s(354) =< aux(99) s(356) =< aux(99) s(357) =< aux(99) s(340) =< aux(99) s(361) =< aux(102) s(363) =< aux(103) s(364) =< aux(104) s(355) =< aux(105) s(356) =< aux(105) s(357) =< aux(105) s(340) =< aux(105) s(354) =< aux(106) s(356) =< aux(106) s(351) =< aux(107) s(365) =< aux(94)+3 s(366) =< aux(94)+4 s(367) =< aux(94)+5 s(368) =< aux(94)+1 s(369) =< aux(94)+2 s(370) =< aux(94)-2 s(362) =< aux(95)*(1/3)+aux(99) s(350) =< aux(95)*(1/3)+aux(99) s(351) =< aux(95)*(1/3)+aux(99) s(352) =< aux(95)*(1/3)+aux(99) s(353) =< aux(95)*(1/3)+aux(99) s(354) =< aux(95)*(1/3)+aux(99) s(355) =< aux(95)*(1/3)+aux(99) s(356) =< aux(95)*(1/3)+aux(99) s(358) =< aux(95)*(1/3)+aux(99) s(340) =< aux(95)*(1/3)+aux(99) s(357) =< aux(95)*(1/3)+aux(99) s(354) =< aux(95)*(3/7)+aux(106) s(355) =< aux(95)*(3/7)+aux(106) s(356) =< aux(95)*(3/7)+aux(106) s(357) =< aux(95)*(3/7)+aux(106) s(358) =< aux(95)*(3/7)+aux(106) s(355) =< aux(95)*(1/5)+aux(105) s(356) =< aux(95)*(1/5)+aux(105) s(357) =< aux(95)*(1/5)+aux(105) s(358) =< aux(95)*(1/5)+aux(105) s(340) =< aux(95)*(1/5)+aux(105) s(351) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(352) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(353) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(354) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(355) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(356) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(357) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(358) =< aux(95)*(5/9)+s(339)*(1/9)+aux(107) s(349) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(350) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(351) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(352) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(353) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(354) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(355) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(356) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(357) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(358) =< aux(95)*(2/3)+s(339)*(1/3)+aux(97) s(361) =< aux(95)*(7/20)+s(339)*(1/20)+aux(102) s(347) =< aux(95)*(7/20)+s(339)*(1/20)+aux(102) s(360) =< aux(95)*(3/8)+s(339)*(1/8)+aux(98) s(361) =< aux(95)*(3/8)+s(339)*(1/8)+aux(98) s(347) =< aux(95)*(3/8)+s(339)*(1/8)+aux(98) s(359) =< aux(95)*(1/4)+aux(96) s(360) =< aux(95)*(1/4)+aux(96) s(361) =< aux(95)*(1/4)+aux(96) s(347) =< aux(95)*(1/4)+aux(96) s(363) =< aux(95)*(5/13)+s(339)*(2/13)+aux(103) s(359) =< aux(95)*(5/13)+s(339)*(2/13)+aux(103) s(360) =< aux(95)*(5/13)+s(339)*(2/13)+aux(103) s(361) =< aux(95)*(5/13)+s(339)*(2/13)+aux(103) s(347) =< aux(95)*(5/13)+s(339)*(2/13)+aux(103) s(371) =< s(358)*s(365) s(372) =< s(358)*s(366) s(373) =< s(358)*s(367) s(374) =< s(357)*s(366) s(375) =< s(354)*s(368) s(376) =< s(354)*s(366) s(377) =< s(353)*s(369) s(378) =< s(351)*s(368) s(379) =< s(350)*s(369) s(380) =< s(349)*s(369) s(364) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(363) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(359) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(360) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(361) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(347) =< aux(95)*(13/32)+s(340)*(1/32)+s(339)*(7/32)+aux(104) s(381) =< s(347)*s(365) s(382) =< s(347)*s(367) s(383) =< s(361)*s(370) s(384) =< s(360)*s(368) s(385) =< s(363)*s(370) s(386) =< s(364)*aux(94) s(387) =< s(371) s(388) =< s(373) s(372) =< s(373) s(389) =< s(362) s(390) =< s(374) s(391) =< s(376) s(392) =< s(380) s(393) =< s(382) s(394) =< s(381) s(394) =< s(382) s(395) =< s(382) s(395) =< s(381) s(396) =< s(395) s(397) =< s(381) s(398) =< s(384) s(399) =< s(385) s(400) =< s(386) s(278) =< aux(78) s(279) =< aux(78) s(280) =< aux(78) s(281) =< aux(78) s(282) =< aux(78) s(283) =< aux(78) s(284) =< aux(78) s(285) =< aux(78) s(286) =< aux(78) s(287) =< aux(78) s(288) =< aux(78) s(289) =< aux(78) s(271) =< aux(78) s(270) =< aux(78) s(271) =< aux(80) s(270) =< aux(80) s(290) =< aux(81) s(291) =< aux(81) s(292) =< aux(81) s(280) =< aux(82) s(291) =< aux(83) s(293) =< aux(84) s(281) =< aux(84) s(282) =< aux(84) s(284) =< aux(84) s(285) =< aux(84) s(287) =< aux(84) s(288) =< aux(84) s(271) =< aux(84) s(292) =< aux(87) s(294) =< aux(88) s(295) =< aux(89) s(286) =< aux(90) s(287) =< aux(90) s(288) =< aux(90) s(271) =< aux(90) s(285) =< aux(91) s(287) =< aux(91) s(282) =< aux(92) s(296) =< aux(79)+3 s(297) =< aux(79)+4 s(298) =< aux(79)+5 s(299) =< aux(79)+1 s(300) =< aux(79)+2 s(301) =< aux(79)-2 s(293) =< aux(80)*(1/3)+aux(84) s(281) =< aux(80)*(1/3)+aux(84) s(282) =< aux(80)*(1/3)+aux(84) s(283) =< aux(80)*(1/3)+aux(84) s(284) =< aux(80)*(1/3)+aux(84) s(285) =< aux(80)*(1/3)+aux(84) s(286) =< aux(80)*(1/3)+aux(84) s(287) =< aux(80)*(1/3)+aux(84) s(289) =< aux(80)*(1/3)+aux(84) s(271) =< aux(80)*(1/3)+aux(84) s(288) =< aux(80)*(1/3)+aux(84) s(285) =< aux(80)*(3/7)+aux(91) s(286) =< aux(80)*(3/7)+aux(91) s(287) =< aux(80)*(3/7)+aux(91) s(288) =< aux(80)*(3/7)+aux(91) s(289) =< aux(80)*(3/7)+aux(91) s(286) =< aux(80)*(1/5)+aux(90) s(287) =< aux(80)*(1/5)+aux(90) s(288) =< aux(80)*(1/5)+aux(90) s(289) =< aux(80)*(1/5)+aux(90) s(271) =< aux(80)*(1/5)+aux(90) s(282) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(283) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(284) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(285) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(286) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(287) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(288) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(289) =< aux(80)*(5/9)+s(270)*(1/9)+aux(92) s(280) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(281) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(282) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(283) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(284) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(285) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(286) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(287) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(288) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(289) =< aux(80)*(2/3)+s(270)*(1/3)+aux(82) s(292) =< aux(80)*(7/20)+s(270)*(1/20)+aux(87) s(278) =< aux(80)*(7/20)+s(270)*(1/20)+aux(87) s(291) =< aux(80)*(3/8)+s(270)*(1/8)+aux(83) s(292) =< aux(80)*(3/8)+s(270)*(1/8)+aux(83) s(278) =< aux(80)*(3/8)+s(270)*(1/8)+aux(83) s(290) =< aux(80)*(1/4)+aux(81) s(291) =< aux(80)*(1/4)+aux(81) s(292) =< aux(80)*(1/4)+aux(81) s(278) =< aux(80)*(1/4)+aux(81) s(294) =< aux(80)*(5/13)+s(270)*(2/13)+aux(88) s(290) =< aux(80)*(5/13)+s(270)*(2/13)+aux(88) s(291) =< aux(80)*(5/13)+s(270)*(2/13)+aux(88) s(292) =< aux(80)*(5/13)+s(270)*(2/13)+aux(88) s(278) =< aux(80)*(5/13)+s(270)*(2/13)+aux(88) s(302) =< s(289)*s(296) s(303) =< s(289)*s(297) s(304) =< s(289)*s(298) s(305) =< s(288)*s(297) s(306) =< s(285)*s(299) s(307) =< s(285)*s(297) s(308) =< s(284)*s(300) s(309) =< s(282)*s(299) s(310) =< s(281)*s(300) s(311) =< s(280)*s(300) s(295) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(294) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(290) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(291) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(292) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(278) =< aux(80)*(13/32)+s(271)*(1/32)+s(270)*(7/32)+aux(89) s(312) =< s(278)*s(296) s(313) =< s(278)*s(298) s(314) =< s(292)*s(301) s(315) =< s(291)*s(299) s(316) =< s(294)*s(301) s(317) =< s(295)*aux(79) s(318) =< s(302) s(319) =< s(304) s(303) =< s(304) s(320) =< s(293) s(321) =< s(305) s(322) =< s(307) s(323) =< s(311) s(324) =< s(313) s(325) =< s(312) s(325) =< s(313) s(326) =< s(313) s(326) =< s(312) s(327) =< s(326) s(328) =< s(312) s(329) =< s(315) s(330) =< s(316) s(331) =< s(317) with precondition: [Out=0,V1>=0,V>=0] * Chain [80]: 24*s(630)+60*s(631)+9*s(632)+3*s(633)+9*s(634)+6*s(635)+3*s(636)+9*s(637)+3*s(638)+9*s(639)+18*s(640)+18*s(641)+3*s(642)+15*s(643)+15*s(644)+15*s(646)+15*s(647)+12*s(655)+3*s(658)+3*s(660)+3*s(661)+6*s(662)+6*s(666)+66*s(670)+63*s(671)+9*s(672)+42*s(673)+21*s(674)+24*s(675)+54*s(676)+12*s(677)+9*s(679)+234*s(680)+27*s(681)+9*s(682)+30*s(683)+32*s(699)+80*s(700)+12*s(701)+4*s(702)+12*s(703)+8*s(704)+4*s(705)+12*s(706)+4*s(707)+12*s(708)+24*s(709)+24*s(710)+4*s(711)+20*s(712)+20*s(713)+20*s(715)+20*s(716)+16*s(724)+4*s(727)+4*s(729)+4*s(730)+8*s(731)+8*s(735)+88*s(739)+84*s(740)+12*s(741)+56*s(742)+28*s(743)+32*s(744)+72*s(745)+16*s(746)+12*s(748)+312*s(749)+36*s(750)+12*s(751)+40*s(752)+1*s(891)+2*s(1030)+1 Such that:aux(109) =< 2 aux(110) =< V1 aux(111) =< 2*V1 aux(112) =< 2*V1+1 aux(113) =< V1/2 aux(114) =< V1/3 aux(115) =< V1/4 aux(116) =< 2/3*V1 aux(117) =< 2/3*V1+1/3 aux(118) =< 2/5*V1+1/5 aux(119) =< 3/10*V1 aux(120) =< 3/13*V1 aux(121) =< 3/16*V1 aux(122) =< 4/5*V1 aux(123) =< 4/7*V1 aux(124) =< 4/9*V1 aux(125) =< V aux(126) =< 2*V aux(127) =< 2*V+1 aux(128) =< V/2 aux(129) =< V/3 aux(130) =< V/4 aux(131) =< 2/3*V aux(132) =< 2/3*V+1/3 aux(133) =< 2/5*V+1/5 aux(134) =< 3/10*V aux(135) =< 3/13*V aux(136) =< 3/16*V aux(137) =< 4/5*V aux(138) =< 4/7*V aux(139) =< 4/9*V s(1030) =< aux(109) s(622) =< aux(117) s(623) =< aux(118) s(691) =< aux(132) s(692) =< aux(133) s(699) =< aux(125) s(700) =< aux(125) s(701) =< aux(125) s(702) =< aux(125) s(703) =< aux(125) s(704) =< aux(125) s(705) =< aux(125) s(706) =< aux(125) s(707) =< aux(125) s(708) =< aux(125) s(709) =< aux(125) s(710) =< aux(125) s(692) =< aux(125) s(691) =< aux(125) s(692) =< aux(127) s(691) =< aux(127) s(711) =< aux(128) s(712) =< aux(128) s(713) =< aux(128) s(701) =< aux(129) s(712) =< aux(130) s(714) =< aux(131) s(702) =< aux(131) s(703) =< aux(131) s(705) =< aux(131) s(706) =< aux(131) s(708) =< aux(131) s(709) =< aux(131) s(692) =< aux(131) s(713) =< aux(134) s(715) =< aux(135) s(716) =< aux(136) s(707) =< aux(137) s(708) =< aux(137) s(709) =< aux(137) s(692) =< aux(137) s(706) =< aux(138) s(708) =< aux(138) s(703) =< aux(139) s(717) =< aux(126)+3 s(718) =< aux(126)+4 s(719) =< aux(126)+5 s(720) =< aux(126)+1 s(721) =< aux(126)+2 s(722) =< aux(126)-2 s(714) =< aux(127)*(1/3)+aux(131) s(702) =< aux(127)*(1/3)+aux(131) s(703) =< aux(127)*(1/3)+aux(131) s(704) =< aux(127)*(1/3)+aux(131) s(705) =< aux(127)*(1/3)+aux(131) s(706) =< aux(127)*(1/3)+aux(131) s(707) =< aux(127)*(1/3)+aux(131) s(708) =< aux(127)*(1/3)+aux(131) s(710) =< aux(127)*(1/3)+aux(131) s(692) =< aux(127)*(1/3)+aux(131) s(709) =< aux(127)*(1/3)+aux(131) s(706) =< aux(127)*(3/7)+aux(138) s(707) =< aux(127)*(3/7)+aux(138) s(708) =< aux(127)*(3/7)+aux(138) s(709) =< aux(127)*(3/7)+aux(138) s(710) =< aux(127)*(3/7)+aux(138) s(707) =< aux(127)*(1/5)+aux(137) s(708) =< aux(127)*(1/5)+aux(137) s(709) =< aux(127)*(1/5)+aux(137) s(710) =< aux(127)*(1/5)+aux(137) s(692) =< aux(127)*(1/5)+aux(137) s(703) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(704) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(705) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(706) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(707) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(708) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(709) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(710) =< aux(127)*(5/9)+s(691)*(1/9)+aux(139) s(701) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(702) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(703) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(704) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(705) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(706) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(707) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(708) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(709) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(710) =< aux(127)*(2/3)+s(691)*(1/3)+aux(129) s(713) =< aux(127)*(7/20)+s(691)*(1/20)+aux(134) s(699) =< aux(127)*(7/20)+s(691)*(1/20)+aux(134) s(712) =< aux(127)*(3/8)+s(691)*(1/8)+aux(130) s(713) =< aux(127)*(3/8)+s(691)*(1/8)+aux(130) s(699) =< aux(127)*(3/8)+s(691)*(1/8)+aux(130) s(711) =< aux(127)*(1/4)+aux(128) s(712) =< aux(127)*(1/4)+aux(128) s(713) =< aux(127)*(1/4)+aux(128) s(699) =< aux(127)*(1/4)+aux(128) s(715) =< aux(127)*(5/13)+s(691)*(2/13)+aux(135) s(711) =< aux(127)*(5/13)+s(691)*(2/13)+aux(135) s(712) =< aux(127)*(5/13)+s(691)*(2/13)+aux(135) s(713) =< aux(127)*(5/13)+s(691)*(2/13)+aux(135) s(699) =< aux(127)*(5/13)+s(691)*(2/13)+aux(135) s(723) =< s(710)*s(717) s(724) =< s(710)*s(718) s(725) =< s(710)*s(719) s(726) =< s(709)*s(718) s(727) =< s(706)*s(720) s(728) =< s(706)*s(718) s(729) =< s(705)*s(721) s(730) =< s(703)*s(720) s(731) =< s(702)*s(721) s(732) =< s(701)*s(721) s(716) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(715) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(711) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(712) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(713) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(699) =< aux(127)*(13/32)+s(692)*(1/32)+s(691)*(7/32)+aux(136) s(733) =< s(699)*s(717) s(734) =< s(699)*s(719) s(735) =< s(713)*s(722) s(736) =< s(712)*s(720) s(737) =< s(715)*s(722) s(738) =< s(716)*aux(126) s(739) =< s(723) s(740) =< s(725) s(724) =< s(725) s(741) =< s(714) s(742) =< s(726) s(743) =< s(728) s(744) =< s(732) s(745) =< s(734) s(746) =< s(733) s(746) =< s(734) s(747) =< s(734) s(747) =< s(733) s(748) =< s(747) s(749) =< s(733) s(750) =< s(736) s(751) =< s(737) s(752) =< s(738) s(630) =< aux(110) s(631) =< aux(110) s(632) =< aux(110) s(633) =< aux(110) s(634) =< aux(110) s(635) =< aux(110) s(636) =< aux(110) s(637) =< aux(110) s(638) =< aux(110) s(639) =< aux(110) s(640) =< aux(110) s(641) =< aux(110) s(623) =< aux(110) s(622) =< aux(110) s(623) =< aux(112) s(622) =< aux(112) s(642) =< aux(113) s(643) =< aux(113) s(644) =< aux(113) s(632) =< aux(114) s(643) =< aux(115) s(645) =< aux(116) s(633) =< aux(116) s(634) =< aux(116) s(636) =< aux(116) s(637) =< aux(116) s(639) =< aux(116) s(640) =< aux(116) s(623) =< aux(116) s(644) =< aux(119) s(646) =< aux(120) s(647) =< aux(121) s(638) =< aux(122) s(639) =< aux(122) s(640) =< aux(122) s(623) =< aux(122) s(637) =< aux(123) s(639) =< aux(123) s(634) =< aux(124) s(648) =< aux(111)+3 s(649) =< aux(111)+4 s(650) =< aux(111)+5 s(651) =< aux(111)+1 s(652) =< aux(111)+2 s(653) =< aux(111)-2 s(645) =< aux(112)*(1/3)+aux(116) s(633) =< aux(112)*(1/3)+aux(116) s(634) =< aux(112)*(1/3)+aux(116) s(635) =< aux(112)*(1/3)+aux(116) s(636) =< aux(112)*(1/3)+aux(116) s(637) =< aux(112)*(1/3)+aux(116) s(638) =< aux(112)*(1/3)+aux(116) s(639) =< aux(112)*(1/3)+aux(116) s(641) =< aux(112)*(1/3)+aux(116) s(623) =< aux(112)*(1/3)+aux(116) s(640) =< aux(112)*(1/3)+aux(116) s(637) =< aux(112)*(3/7)+aux(123) s(638) =< aux(112)*(3/7)+aux(123) s(639) =< aux(112)*(3/7)+aux(123) s(640) =< aux(112)*(3/7)+aux(123) s(641) =< aux(112)*(3/7)+aux(123) s(638) =< aux(112)*(1/5)+aux(122) s(639) =< aux(112)*(1/5)+aux(122) s(640) =< aux(112)*(1/5)+aux(122) s(641) =< aux(112)*(1/5)+aux(122) s(623) =< aux(112)*(1/5)+aux(122) s(634) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(635) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(636) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(637) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(638) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(639) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(640) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(641) =< aux(112)*(5/9)+s(622)*(1/9)+aux(124) s(632) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(633) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(634) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(635) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(636) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(637) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(638) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(639) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(640) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(641) =< aux(112)*(2/3)+s(622)*(1/3)+aux(114) s(644) =< aux(112)*(7/20)+s(622)*(1/20)+aux(119) s(630) =< aux(112)*(7/20)+s(622)*(1/20)+aux(119) s(643) =< aux(112)*(3/8)+s(622)*(1/8)+aux(115) s(644) =< aux(112)*(3/8)+s(622)*(1/8)+aux(115) s(630) =< aux(112)*(3/8)+s(622)*(1/8)+aux(115) s(642) =< aux(112)*(1/4)+aux(113) s(643) =< aux(112)*(1/4)+aux(113) s(644) =< aux(112)*(1/4)+aux(113) s(630) =< aux(112)*(1/4)+aux(113) s(646) =< aux(112)*(5/13)+s(622)*(2/13)+aux(120) s(642) =< aux(112)*(5/13)+s(622)*(2/13)+aux(120) s(643) =< aux(112)*(5/13)+s(622)*(2/13)+aux(120) s(644) =< aux(112)*(5/13)+s(622)*(2/13)+aux(120) s(630) =< aux(112)*(5/13)+s(622)*(2/13)+aux(120) s(654) =< s(641)*s(648) s(655) =< s(641)*s(649) s(656) =< s(641)*s(650) s(657) =< s(640)*s(649) s(658) =< s(637)*s(651) s(659) =< s(637)*s(649) s(660) =< s(636)*s(652) s(661) =< s(634)*s(651) s(662) =< s(633)*s(652) s(663) =< s(632)*s(652) s(647) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(646) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(642) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(643) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(644) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(630) =< aux(112)*(13/32)+s(623)*(1/32)+s(622)*(7/32)+aux(121) s(664) =< s(630)*s(648) s(665) =< s(630)*s(650) s(666) =< s(644)*s(653) s(667) =< s(643)*s(651) s(668) =< s(646)*s(653) s(669) =< s(647)*aux(111) s(670) =< s(654) s(671) =< s(656) s(655) =< s(656) s(672) =< s(645) s(673) =< s(657) s(674) =< s(659) s(675) =< s(663) s(676) =< s(665) s(677) =< s(664) s(677) =< s(665) s(678) =< s(665) s(678) =< s(664) s(679) =< s(678) s(680) =< s(664) s(681) =< s(667) s(682) =< s(668) s(683) =< s(669) s(891) =< aux(126) with precondition: [Out=2,V1>=0,V>=0] * Chain [79]: 24*s(1116)+60*s(1117)+9*s(1118)+3*s(1119)+9*s(1120)+6*s(1121)+3*s(1122)+9*s(1123)+3*s(1124)+9*s(1125)+18*s(1126)+18*s(1127)+3*s(1128)+15*s(1129)+15*s(1130)+15*s(1132)+15*s(1133)+12*s(1141)+3*s(1144)+3*s(1146)+3*s(1147)+6*s(1148)+6*s(1152)+66*s(1156)+63*s(1157)+9*s(1158)+42*s(1159)+21*s(1160)+24*s(1161)+54*s(1162)+12*s(1163)+9*s(1165)+234*s(1166)+27*s(1167)+9*s(1168)+30*s(1169)+32*s(1185)+80*s(1186)+12*s(1187)+4*s(1188)+12*s(1189)+8*s(1190)+4*s(1191)+12*s(1192)+4*s(1193)+12*s(1194)+24*s(1195)+24*s(1196)+4*s(1197)+20*s(1198)+20*s(1199)+20*s(1201)+20*s(1202)+16*s(1210)+4*s(1213)+4*s(1215)+4*s(1216)+8*s(1217)+8*s(1221)+88*s(1225)+84*s(1226)+12*s(1227)+56*s(1228)+28*s(1229)+32*s(1230)+72*s(1231)+16*s(1232)+12*s(1234)+312*s(1235)+36*s(1236)+12*s(1237)+40*s(1238)+1*s(1377)+1*s(1585)+1 Such that:s(1585) =< 1 aux(141) =< V1 aux(142) =< 2*V1 aux(143) =< 2*V1+1 aux(144) =< V1/2 aux(145) =< V1/3 aux(146) =< V1/4 aux(147) =< 2/3*V1 aux(148) =< 2/3*V1+1/3 aux(149) =< 2/5*V1+1/5 aux(150) =< 3/10*V1 aux(151) =< 3/13*V1 aux(152) =< 3/16*V1 aux(153) =< 4/5*V1 aux(154) =< 4/7*V1 aux(155) =< 4/9*V1 aux(156) =< V aux(157) =< 2*V aux(158) =< 2*V+1 aux(159) =< V/2 aux(160) =< V/3 aux(161) =< V/4 aux(162) =< 2/3*V aux(163) =< 2/3*V+1/3 aux(164) =< 2/5*V+1/5 aux(165) =< 3/10*V aux(166) =< 3/13*V aux(167) =< 3/16*V aux(168) =< 4/5*V aux(169) =< 4/7*V aux(170) =< 4/9*V s(1108) =< aux(148) s(1109) =< aux(149) s(1177) =< aux(163) s(1178) =< aux(164) s(1185) =< aux(156) s(1186) =< aux(156) s(1187) =< aux(156) s(1188) =< aux(156) s(1189) =< aux(156) s(1190) =< aux(156) s(1191) =< aux(156) s(1192) =< aux(156) s(1193) =< aux(156) s(1194) =< aux(156) s(1195) =< aux(156) s(1196) =< aux(156) s(1178) =< aux(156) s(1177) =< aux(156) s(1178) =< aux(158) s(1177) =< aux(158) s(1197) =< aux(159) s(1198) =< aux(159) s(1199) =< aux(159) s(1187) =< aux(160) s(1198) =< aux(161) s(1200) =< aux(162) s(1188) =< aux(162) s(1189) =< aux(162) s(1191) =< aux(162) s(1192) =< aux(162) s(1194) =< aux(162) s(1195) =< aux(162) s(1178) =< aux(162) s(1199) =< aux(165) s(1201) =< aux(166) s(1202) =< aux(167) s(1193) =< aux(168) s(1194) =< aux(168) s(1195) =< aux(168) s(1178) =< aux(168) s(1192) =< aux(169) s(1194) =< aux(169) s(1189) =< aux(170) s(1203) =< aux(157)+3 s(1204) =< aux(157)+4 s(1205) =< aux(157)+5 s(1206) =< aux(157)+1 s(1207) =< aux(157)+2 s(1208) =< aux(157)-2 s(1200) =< aux(158)*(1/3)+aux(162) s(1188) =< aux(158)*(1/3)+aux(162) s(1189) =< aux(158)*(1/3)+aux(162) s(1190) =< aux(158)*(1/3)+aux(162) s(1191) =< aux(158)*(1/3)+aux(162) s(1192) =< aux(158)*(1/3)+aux(162) s(1193) =< aux(158)*(1/3)+aux(162) s(1194) =< aux(158)*(1/3)+aux(162) s(1196) =< aux(158)*(1/3)+aux(162) s(1178) =< aux(158)*(1/3)+aux(162) s(1195) =< aux(158)*(1/3)+aux(162) s(1192) =< aux(158)*(3/7)+aux(169) s(1193) =< aux(158)*(3/7)+aux(169) s(1194) =< aux(158)*(3/7)+aux(169) s(1195) =< aux(158)*(3/7)+aux(169) s(1196) =< aux(158)*(3/7)+aux(169) s(1193) =< aux(158)*(1/5)+aux(168) s(1194) =< aux(158)*(1/5)+aux(168) s(1195) =< aux(158)*(1/5)+aux(168) s(1196) =< aux(158)*(1/5)+aux(168) s(1178) =< aux(158)*(1/5)+aux(168) s(1189) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1190) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1191) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1192) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1193) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1194) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1195) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1196) =< aux(158)*(5/9)+s(1177)*(1/9)+aux(170) s(1187) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1188) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1189) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1190) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1191) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1192) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1193) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1194) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1195) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1196) =< aux(158)*(2/3)+s(1177)*(1/3)+aux(160) s(1199) =< aux(158)*(7/20)+s(1177)*(1/20)+aux(165) s(1185) =< aux(158)*(7/20)+s(1177)*(1/20)+aux(165) s(1198) =< aux(158)*(3/8)+s(1177)*(1/8)+aux(161) s(1199) =< aux(158)*(3/8)+s(1177)*(1/8)+aux(161) s(1185) =< aux(158)*(3/8)+s(1177)*(1/8)+aux(161) s(1197) =< aux(158)*(1/4)+aux(159) s(1198) =< aux(158)*(1/4)+aux(159) s(1199) =< aux(158)*(1/4)+aux(159) s(1185) =< aux(158)*(1/4)+aux(159) s(1201) =< aux(158)*(5/13)+s(1177)*(2/13)+aux(166) s(1197) =< aux(158)*(5/13)+s(1177)*(2/13)+aux(166) s(1198) =< aux(158)*(5/13)+s(1177)*(2/13)+aux(166) s(1199) =< aux(158)*(5/13)+s(1177)*(2/13)+aux(166) s(1185) =< aux(158)*(5/13)+s(1177)*(2/13)+aux(166) s(1209) =< s(1196)*s(1203) s(1210) =< s(1196)*s(1204) s(1211) =< s(1196)*s(1205) s(1212) =< s(1195)*s(1204) s(1213) =< s(1192)*s(1206) s(1214) =< s(1192)*s(1204) s(1215) =< s(1191)*s(1207) s(1216) =< s(1189)*s(1206) s(1217) =< s(1188)*s(1207) s(1218) =< s(1187)*s(1207) s(1202) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1201) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1197) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1198) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1199) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1185) =< aux(158)*(13/32)+s(1178)*(1/32)+s(1177)*(7/32)+aux(167) s(1219) =< s(1185)*s(1203) s(1220) =< s(1185)*s(1205) s(1221) =< s(1199)*s(1208) s(1222) =< s(1198)*s(1206) s(1223) =< s(1201)*s(1208) s(1224) =< s(1202)*aux(157) s(1225) =< s(1209) s(1226) =< s(1211) s(1210) =< s(1211) s(1227) =< s(1200) s(1228) =< s(1212) s(1229) =< s(1214) s(1230) =< s(1218) s(1231) =< s(1220) s(1232) =< s(1219) s(1232) =< s(1220) s(1233) =< s(1220) s(1233) =< s(1219) s(1234) =< s(1233) s(1235) =< s(1219) s(1236) =< s(1222) s(1237) =< s(1223) s(1238) =< s(1224) s(1116) =< aux(141) s(1117) =< aux(141) s(1118) =< aux(141) s(1119) =< aux(141) s(1120) =< aux(141) s(1121) =< aux(141) s(1122) =< aux(141) s(1123) =< aux(141) s(1124) =< aux(141) s(1125) =< aux(141) s(1126) =< aux(141) s(1127) =< aux(141) s(1109) =< aux(141) s(1108) =< aux(141) s(1109) =< aux(143) s(1108) =< aux(143) s(1128) =< aux(144) s(1129) =< aux(144) s(1130) =< aux(144) s(1118) =< aux(145) s(1129) =< aux(146) s(1131) =< aux(147) s(1119) =< aux(147) s(1120) =< aux(147) s(1122) =< aux(147) s(1123) =< aux(147) s(1125) =< aux(147) s(1126) =< aux(147) s(1109) =< aux(147) s(1130) =< aux(150) s(1132) =< aux(151) s(1133) =< aux(152) s(1124) =< aux(153) s(1125) =< aux(153) s(1126) =< aux(153) s(1109) =< aux(153) s(1123) =< aux(154) s(1125) =< aux(154) s(1120) =< aux(155) s(1134) =< aux(142)+3 s(1135) =< aux(142)+4 s(1136) =< aux(142)+5 s(1137) =< aux(142)+1 s(1138) =< aux(142)+2 s(1139) =< aux(142)-2 s(1131) =< aux(143)*(1/3)+aux(147) s(1119) =< aux(143)*(1/3)+aux(147) s(1120) =< aux(143)*(1/3)+aux(147) s(1121) =< aux(143)*(1/3)+aux(147) s(1122) =< aux(143)*(1/3)+aux(147) s(1123) =< aux(143)*(1/3)+aux(147) s(1124) =< aux(143)*(1/3)+aux(147) s(1125) =< aux(143)*(1/3)+aux(147) s(1127) =< aux(143)*(1/3)+aux(147) s(1109) =< aux(143)*(1/3)+aux(147) s(1126) =< aux(143)*(1/3)+aux(147) s(1123) =< aux(143)*(3/7)+aux(154) s(1124) =< aux(143)*(3/7)+aux(154) s(1125) =< aux(143)*(3/7)+aux(154) s(1126) =< aux(143)*(3/7)+aux(154) s(1127) =< aux(143)*(3/7)+aux(154) s(1124) =< aux(143)*(1/5)+aux(153) s(1125) =< aux(143)*(1/5)+aux(153) s(1126) =< aux(143)*(1/5)+aux(153) s(1127) =< aux(143)*(1/5)+aux(153) s(1109) =< aux(143)*(1/5)+aux(153) s(1120) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1121) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1122) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1123) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1124) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1125) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1126) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1127) =< aux(143)*(5/9)+s(1108)*(1/9)+aux(155) s(1118) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1119) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1120) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1121) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1122) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1123) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1124) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1125) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1126) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1127) =< aux(143)*(2/3)+s(1108)*(1/3)+aux(145) s(1130) =< aux(143)*(7/20)+s(1108)*(1/20)+aux(150) s(1116) =< aux(143)*(7/20)+s(1108)*(1/20)+aux(150) s(1129) =< aux(143)*(3/8)+s(1108)*(1/8)+aux(146) s(1130) =< aux(143)*(3/8)+s(1108)*(1/8)+aux(146) s(1116) =< aux(143)*(3/8)+s(1108)*(1/8)+aux(146) s(1128) =< aux(143)*(1/4)+aux(144) s(1129) =< aux(143)*(1/4)+aux(144) s(1130) =< aux(143)*(1/4)+aux(144) s(1116) =< aux(143)*(1/4)+aux(144) s(1132) =< aux(143)*(5/13)+s(1108)*(2/13)+aux(151) s(1128) =< aux(143)*(5/13)+s(1108)*(2/13)+aux(151) s(1129) =< aux(143)*(5/13)+s(1108)*(2/13)+aux(151) s(1130) =< aux(143)*(5/13)+s(1108)*(2/13)+aux(151) s(1116) =< aux(143)*(5/13)+s(1108)*(2/13)+aux(151) s(1140) =< s(1127)*s(1134) s(1141) =< s(1127)*s(1135) s(1142) =< s(1127)*s(1136) s(1143) =< s(1126)*s(1135) s(1144) =< s(1123)*s(1137) s(1145) =< s(1123)*s(1135) s(1146) =< s(1122)*s(1138) s(1147) =< s(1120)*s(1137) s(1148) =< s(1119)*s(1138) s(1149) =< s(1118)*s(1138) s(1133) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1132) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1128) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1129) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1130) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1116) =< aux(143)*(13/32)+s(1109)*(1/32)+s(1108)*(7/32)+aux(152) s(1150) =< s(1116)*s(1134) s(1151) =< s(1116)*s(1136) s(1152) =< s(1130)*s(1139) s(1153) =< s(1129)*s(1137) s(1154) =< s(1132)*s(1139) s(1155) =< s(1133)*aux(142) s(1156) =< s(1140) s(1157) =< s(1142) s(1141) =< s(1142) s(1158) =< s(1131) s(1159) =< s(1143) s(1160) =< s(1145) s(1161) =< s(1149) s(1162) =< s(1151) s(1163) =< s(1150) s(1163) =< s(1151) s(1164) =< s(1151) s(1164) =< s(1150) s(1165) =< s(1164) s(1166) =< s(1150) s(1167) =< s(1153) s(1168) =< s(1154) s(1169) =< s(1155) s(1377) =< aux(142) with precondition: [Out=1,V1>=1,V>=0] * Chain [78]: 8*s(1601)+20*s(1602)+3*s(1603)+1*s(1604)+3*s(1605)+2*s(1606)+1*s(1607)+3*s(1608)+1*s(1609)+3*s(1610)+6*s(1611)+6*s(1612)+1*s(1613)+5*s(1614)+5*s(1615)+5*s(1617)+5*s(1618)+4*s(1626)+1*s(1629)+1*s(1631)+1*s(1632)+2*s(1633)+2*s(1637)+22*s(1641)+21*s(1642)+3*s(1643)+14*s(1644)+7*s(1645)+8*s(1646)+18*s(1647)+4*s(1648)+3*s(1650)+78*s(1651)+9*s(1652)+3*s(1653)+10*s(1654)+2*s(1655)+0 Such that:s(1586) =< V1 s(1587) =< 2*V1 s(1588) =< 2*V1+1 s(1589) =< V1/2 s(1590) =< V1/3 s(1591) =< V1/4 s(1592) =< 2/3*V1 s(1593) =< 2/3*V1+1/3 s(1594) =< 2/5*V1+1/5 s(1595) =< 3/10*V1 s(1596) =< 3/13*V1 s(1597) =< 3/16*V1 s(1598) =< 4/5*V1 s(1599) =< 4/7*V1 s(1600) =< 4/9*V1 aux(171) =< 2 s(1655) =< aux(171) s(1601) =< s(1586) s(1602) =< s(1586) s(1603) =< s(1586) s(1604) =< s(1586) s(1605) =< s(1586) s(1606) =< s(1586) s(1607) =< s(1586) s(1608) =< s(1586) s(1609) =< s(1586) s(1610) =< s(1586) s(1611) =< s(1586) s(1612) =< s(1586) s(1594) =< s(1586) s(1593) =< s(1586) s(1594) =< s(1588) s(1593) =< s(1588) s(1613) =< s(1589) s(1614) =< s(1589) s(1615) =< s(1589) s(1603) =< s(1590) s(1614) =< s(1591) s(1616) =< s(1592) s(1604) =< s(1592) s(1605) =< s(1592) s(1607) =< s(1592) s(1608) =< s(1592) s(1610) =< s(1592) s(1611) =< s(1592) s(1594) =< s(1592) s(1615) =< s(1595) s(1617) =< s(1596) s(1618) =< s(1597) s(1609) =< s(1598) s(1610) =< s(1598) s(1611) =< s(1598) s(1594) =< s(1598) s(1608) =< s(1599) s(1610) =< s(1599) s(1605) =< s(1600) s(1619) =< s(1587)+3 s(1620) =< s(1587)+4 s(1621) =< s(1587)+5 s(1622) =< s(1587)+1 s(1623) =< s(1587)+2 s(1624) =< s(1587)-2 s(1616) =< s(1588)*(1/3)+s(1592) s(1604) =< s(1588)*(1/3)+s(1592) s(1605) =< s(1588)*(1/3)+s(1592) s(1606) =< s(1588)*(1/3)+s(1592) s(1607) =< s(1588)*(1/3)+s(1592) s(1608) =< s(1588)*(1/3)+s(1592) s(1609) =< s(1588)*(1/3)+s(1592) s(1610) =< s(1588)*(1/3)+s(1592) s(1612) =< s(1588)*(1/3)+s(1592) s(1594) =< s(1588)*(1/3)+s(1592) s(1611) =< s(1588)*(1/3)+s(1592) s(1608) =< s(1588)*(3/7)+s(1599) s(1609) =< s(1588)*(3/7)+s(1599) s(1610) =< s(1588)*(3/7)+s(1599) s(1611) =< s(1588)*(3/7)+s(1599) s(1612) =< s(1588)*(3/7)+s(1599) s(1609) =< s(1588)*(1/5)+s(1598) s(1610) =< s(1588)*(1/5)+s(1598) s(1611) =< s(1588)*(1/5)+s(1598) s(1612) =< s(1588)*(1/5)+s(1598) s(1594) =< s(1588)*(1/5)+s(1598) s(1605) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1606) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1607) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1608) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1609) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1610) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1611) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1612) =< s(1588)*(5/9)+s(1593)*(1/9)+s(1600) s(1603) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1604) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1605) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1606) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1607) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1608) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1609) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1610) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1611) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1612) =< s(1588)*(2/3)+s(1593)*(1/3)+s(1590) s(1615) =< s(1588)*(7/20)+s(1593)*(1/20)+s(1595) s(1601) =< s(1588)*(7/20)+s(1593)*(1/20)+s(1595) s(1614) =< s(1588)*(3/8)+s(1593)*(1/8)+s(1591) s(1615) =< s(1588)*(3/8)+s(1593)*(1/8)+s(1591) s(1601) =< s(1588)*(3/8)+s(1593)*(1/8)+s(1591) s(1613) =< s(1588)*(1/4)+s(1589) s(1614) =< s(1588)*(1/4)+s(1589) s(1615) =< s(1588)*(1/4)+s(1589) s(1601) =< s(1588)*(1/4)+s(1589) s(1617) =< s(1588)*(5/13)+s(1593)*(2/13)+s(1596) s(1613) =< s(1588)*(5/13)+s(1593)*(2/13)+s(1596) s(1614) =< s(1588)*(5/13)+s(1593)*(2/13)+s(1596) s(1615) =< s(1588)*(5/13)+s(1593)*(2/13)+s(1596) s(1601) =< s(1588)*(5/13)+s(1593)*(2/13)+s(1596) s(1625) =< s(1612)*s(1619) s(1626) =< s(1612)*s(1620) s(1627) =< s(1612)*s(1621) s(1628) =< s(1611)*s(1620) s(1629) =< s(1608)*s(1622) s(1630) =< s(1608)*s(1620) s(1631) =< s(1607)*s(1623) s(1632) =< s(1605)*s(1622) s(1633) =< s(1604)*s(1623) s(1634) =< s(1603)*s(1623) s(1618) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1617) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1613) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1614) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1615) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1601) =< s(1588)*(13/32)+s(1594)*(1/32)+s(1593)*(7/32)+s(1597) s(1635) =< s(1601)*s(1619) s(1636) =< s(1601)*s(1621) s(1637) =< s(1615)*s(1624) s(1638) =< s(1614)*s(1622) s(1639) =< s(1617)*s(1624) s(1640) =< s(1618)*s(1587) s(1641) =< s(1625) s(1642) =< s(1627) s(1626) =< s(1627) s(1643) =< s(1616) s(1644) =< s(1628) s(1645) =< s(1630) s(1646) =< s(1634) s(1647) =< s(1636) s(1648) =< s(1635) s(1648) =< s(1636) s(1649) =< s(1636) s(1649) =< s(1635) s(1650) =< s(1649) s(1651) =< s(1635) s(1652) =< s(1638) s(1653) =< s(1639) s(1654) =< s(1640) with precondition: [V=2,Out=0,V1>=0] * Chain [77]: 8*s(1672)+20*s(1673)+3*s(1674)+1*s(1675)+3*s(1676)+2*s(1677)+1*s(1678)+3*s(1679)+1*s(1680)+3*s(1681)+6*s(1682)+6*s(1683)+1*s(1684)+5*s(1685)+5*s(1686)+5*s(1688)+5*s(1689)+4*s(1697)+1*s(1700)+1*s(1702)+1*s(1703)+2*s(1704)+2*s(1708)+22*s(1712)+21*s(1713)+3*s(1714)+14*s(1715)+7*s(1716)+8*s(1717)+18*s(1718)+4*s(1719)+3*s(1721)+78*s(1722)+9*s(1723)+3*s(1724)+10*s(1725)+1*s(1726)+1 Such that:s(1726) =< 2 s(1657) =< V1 s(1658) =< 2*V1 s(1659) =< 2*V1+1 s(1660) =< V1/2 s(1661) =< V1/3 s(1662) =< V1/4 s(1663) =< 2/3*V1 s(1664) =< 2/3*V1+1/3 s(1665) =< 2/5*V1+1/5 s(1666) =< 3/10*V1 s(1667) =< 3/13*V1 s(1668) =< 3/16*V1 s(1669) =< 4/5*V1 s(1670) =< 4/7*V1 s(1671) =< 4/9*V1 s(1672) =< s(1657) s(1673) =< s(1657) s(1674) =< s(1657) s(1675) =< s(1657) s(1676) =< s(1657) s(1677) =< s(1657) s(1678) =< s(1657) s(1679) =< s(1657) s(1680) =< s(1657) s(1681) =< s(1657) s(1682) =< s(1657) s(1683) =< s(1657) s(1665) =< s(1657) s(1664) =< s(1657) s(1665) =< s(1659) s(1664) =< s(1659) s(1684) =< s(1660) s(1685) =< s(1660) s(1686) =< s(1660) s(1674) =< s(1661) s(1685) =< s(1662) s(1687) =< s(1663) s(1675) =< s(1663) s(1676) =< s(1663) s(1678) =< s(1663) s(1679) =< s(1663) s(1681) =< s(1663) s(1682) =< s(1663) s(1665) =< s(1663) s(1686) =< s(1666) s(1688) =< s(1667) s(1689) =< s(1668) s(1680) =< s(1669) s(1681) =< s(1669) s(1682) =< s(1669) s(1665) =< s(1669) s(1679) =< s(1670) s(1681) =< s(1670) s(1676) =< s(1671) s(1690) =< s(1658)+3 s(1691) =< s(1658)+4 s(1692) =< s(1658)+5 s(1693) =< s(1658)+1 s(1694) =< s(1658)+2 s(1695) =< s(1658)-2 s(1687) =< s(1659)*(1/3)+s(1663) s(1675) =< s(1659)*(1/3)+s(1663) s(1676) =< s(1659)*(1/3)+s(1663) s(1677) =< s(1659)*(1/3)+s(1663) s(1678) =< s(1659)*(1/3)+s(1663) s(1679) =< s(1659)*(1/3)+s(1663) s(1680) =< s(1659)*(1/3)+s(1663) s(1681) =< s(1659)*(1/3)+s(1663) s(1683) =< s(1659)*(1/3)+s(1663) s(1665) =< s(1659)*(1/3)+s(1663) s(1682) =< s(1659)*(1/3)+s(1663) s(1679) =< s(1659)*(3/7)+s(1670) s(1680) =< s(1659)*(3/7)+s(1670) s(1681) =< s(1659)*(3/7)+s(1670) s(1682) =< s(1659)*(3/7)+s(1670) s(1683) =< s(1659)*(3/7)+s(1670) s(1680) =< s(1659)*(1/5)+s(1669) s(1681) =< s(1659)*(1/5)+s(1669) s(1682) =< s(1659)*(1/5)+s(1669) s(1683) =< s(1659)*(1/5)+s(1669) s(1665) =< s(1659)*(1/5)+s(1669) s(1676) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1677) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1678) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1679) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1680) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1681) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1682) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1683) =< s(1659)*(5/9)+s(1664)*(1/9)+s(1671) s(1674) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1675) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1676) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1677) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1678) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1679) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1680) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1681) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1682) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1683) =< s(1659)*(2/3)+s(1664)*(1/3)+s(1661) s(1686) =< s(1659)*(7/20)+s(1664)*(1/20)+s(1666) s(1672) =< s(1659)*(7/20)+s(1664)*(1/20)+s(1666) s(1685) =< s(1659)*(3/8)+s(1664)*(1/8)+s(1662) s(1686) =< s(1659)*(3/8)+s(1664)*(1/8)+s(1662) s(1672) =< s(1659)*(3/8)+s(1664)*(1/8)+s(1662) s(1684) =< s(1659)*(1/4)+s(1660) s(1685) =< s(1659)*(1/4)+s(1660) s(1686) =< s(1659)*(1/4)+s(1660) s(1672) =< s(1659)*(1/4)+s(1660) s(1688) =< s(1659)*(5/13)+s(1664)*(2/13)+s(1667) s(1684) =< s(1659)*(5/13)+s(1664)*(2/13)+s(1667) s(1685) =< s(1659)*(5/13)+s(1664)*(2/13)+s(1667) s(1686) =< s(1659)*(5/13)+s(1664)*(2/13)+s(1667) s(1672) =< s(1659)*(5/13)+s(1664)*(2/13)+s(1667) s(1696) =< s(1683)*s(1690) s(1697) =< s(1683)*s(1691) s(1698) =< s(1683)*s(1692) s(1699) =< s(1682)*s(1691) s(1700) =< s(1679)*s(1693) s(1701) =< s(1679)*s(1691) s(1702) =< s(1678)*s(1694) s(1703) =< s(1676)*s(1693) s(1704) =< s(1675)*s(1694) s(1705) =< s(1674)*s(1694) s(1689) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1688) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1684) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1685) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1686) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1672) =< s(1659)*(13/32)+s(1665)*(1/32)+s(1664)*(7/32)+s(1668) s(1706) =< s(1672)*s(1690) s(1707) =< s(1672)*s(1692) s(1708) =< s(1686)*s(1695) s(1709) =< s(1685)*s(1693) s(1710) =< s(1688)*s(1695) s(1711) =< s(1689)*s(1658) s(1712) =< s(1696) s(1713) =< s(1698) s(1697) =< s(1698) s(1714) =< s(1687) s(1715) =< s(1699) s(1716) =< s(1701) s(1717) =< s(1705) s(1718) =< s(1707) s(1719) =< s(1706) s(1719) =< s(1707) s(1720) =< s(1707) s(1720) =< s(1706) s(1721) =< s(1720) s(1722) =< s(1706) s(1723) =< s(1709) s(1724) =< s(1710) s(1725) =< s(1711) with precondition: [V=2,Out=1,2*V1>=3] * Chain [76]: 16*s(1742)+40*s(1743)+6*s(1744)+2*s(1745)+6*s(1746)+4*s(1747)+2*s(1748)+6*s(1749)+2*s(1750)+6*s(1751)+12*s(1752)+12*s(1753)+2*s(1754)+10*s(1755)+10*s(1756)+10*s(1758)+10*s(1759)+8*s(1767)+2*s(1770)+2*s(1772)+2*s(1773)+4*s(1774)+4*s(1778)+44*s(1782)+42*s(1783)+6*s(1784)+28*s(1785)+14*s(1786)+16*s(1787)+36*s(1788)+8*s(1789)+6*s(1791)+156*s(1792)+18*s(1793)+6*s(1794)+20*s(1795)+1*s(1865)+1 Such that:s(1865) =< 2 aux(172) =< V1 aux(173) =< 2*V1 aux(174) =< 2*V1+1 aux(175) =< V1/2 aux(176) =< V1/3 aux(177) =< V1/4 aux(178) =< 2/3*V1 aux(179) =< 2/3*V1+1/3 aux(180) =< 2/5*V1+1/5 aux(181) =< 3/10*V1 aux(182) =< 3/13*V1 aux(183) =< 3/16*V1 aux(184) =< 4/5*V1 aux(185) =< 4/7*V1 aux(186) =< 4/9*V1 s(1734) =< aux(179) s(1735) =< aux(180) s(1742) =< aux(172) s(1743) =< aux(172) s(1744) =< aux(172) s(1745) =< aux(172) s(1746) =< aux(172) s(1747) =< aux(172) s(1748) =< aux(172) s(1749) =< aux(172) s(1750) =< aux(172) s(1751) =< aux(172) s(1752) =< aux(172) s(1753) =< aux(172) s(1735) =< aux(172) s(1734) =< aux(172) s(1735) =< aux(174) s(1734) =< aux(174) s(1754) =< aux(175) s(1755) =< aux(175) s(1756) =< aux(175) s(1744) =< aux(176) s(1755) =< aux(177) s(1757) =< aux(178) s(1745) =< aux(178) s(1746) =< aux(178) s(1748) =< aux(178) s(1749) =< aux(178) s(1751) =< aux(178) s(1752) =< aux(178) s(1735) =< aux(178) s(1756) =< aux(181) s(1758) =< aux(182) s(1759) =< aux(183) s(1750) =< aux(184) s(1751) =< aux(184) s(1752) =< aux(184) s(1735) =< aux(184) s(1749) =< aux(185) s(1751) =< aux(185) s(1746) =< aux(186) s(1760) =< aux(173)+3 s(1761) =< aux(173)+4 s(1762) =< aux(173)+5 s(1763) =< aux(173)+1 s(1764) =< aux(173)+2 s(1765) =< aux(173)-2 s(1757) =< aux(174)*(1/3)+aux(178) s(1745) =< aux(174)*(1/3)+aux(178) s(1746) =< aux(174)*(1/3)+aux(178) s(1747) =< aux(174)*(1/3)+aux(178) s(1748) =< aux(174)*(1/3)+aux(178) s(1749) =< aux(174)*(1/3)+aux(178) s(1750) =< aux(174)*(1/3)+aux(178) s(1751) =< aux(174)*(1/3)+aux(178) s(1753) =< aux(174)*(1/3)+aux(178) s(1735) =< aux(174)*(1/3)+aux(178) s(1752) =< aux(174)*(1/3)+aux(178) s(1749) =< aux(174)*(3/7)+aux(185) s(1750) =< aux(174)*(3/7)+aux(185) s(1751) =< aux(174)*(3/7)+aux(185) s(1752) =< aux(174)*(3/7)+aux(185) s(1753) =< aux(174)*(3/7)+aux(185) s(1750) =< aux(174)*(1/5)+aux(184) s(1751) =< aux(174)*(1/5)+aux(184) s(1752) =< aux(174)*(1/5)+aux(184) s(1753) =< aux(174)*(1/5)+aux(184) s(1735) =< aux(174)*(1/5)+aux(184) s(1746) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1747) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1748) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1749) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1750) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1751) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1752) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1753) =< aux(174)*(5/9)+s(1734)*(1/9)+aux(186) s(1744) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1745) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1746) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1747) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1748) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1749) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1750) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1751) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1752) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1753) =< aux(174)*(2/3)+s(1734)*(1/3)+aux(176) s(1756) =< aux(174)*(7/20)+s(1734)*(1/20)+aux(181) s(1742) =< aux(174)*(7/20)+s(1734)*(1/20)+aux(181) s(1755) =< aux(174)*(3/8)+s(1734)*(1/8)+aux(177) s(1756) =< aux(174)*(3/8)+s(1734)*(1/8)+aux(177) s(1742) =< aux(174)*(3/8)+s(1734)*(1/8)+aux(177) s(1754) =< aux(174)*(1/4)+aux(175) s(1755) =< aux(174)*(1/4)+aux(175) s(1756) =< aux(174)*(1/4)+aux(175) s(1742) =< aux(174)*(1/4)+aux(175) s(1758) =< aux(174)*(5/13)+s(1734)*(2/13)+aux(182) s(1754) =< aux(174)*(5/13)+s(1734)*(2/13)+aux(182) s(1755) =< aux(174)*(5/13)+s(1734)*(2/13)+aux(182) s(1756) =< aux(174)*(5/13)+s(1734)*(2/13)+aux(182) s(1742) =< aux(174)*(5/13)+s(1734)*(2/13)+aux(182) s(1766) =< s(1753)*s(1760) s(1767) =< s(1753)*s(1761) s(1768) =< s(1753)*s(1762) s(1769) =< s(1752)*s(1761) s(1770) =< s(1749)*s(1763) s(1771) =< s(1749)*s(1761) s(1772) =< s(1748)*s(1764) s(1773) =< s(1746)*s(1763) s(1774) =< s(1745)*s(1764) s(1775) =< s(1744)*s(1764) s(1759) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1758) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1754) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1755) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1756) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1742) =< aux(174)*(13/32)+s(1735)*(1/32)+s(1734)*(7/32)+aux(183) s(1776) =< s(1742)*s(1760) s(1777) =< s(1742)*s(1762) s(1778) =< s(1756)*s(1765) s(1779) =< s(1755)*s(1763) s(1780) =< s(1758)*s(1765) s(1781) =< s(1759)*aux(173) s(1782) =< s(1766) s(1783) =< s(1768) s(1767) =< s(1768) s(1784) =< s(1757) s(1785) =< s(1769) s(1786) =< s(1771) s(1787) =< s(1775) s(1788) =< s(1777) s(1789) =< s(1776) s(1789) =< s(1777) s(1790) =< s(1777) s(1790) =< s(1776) s(1791) =< s(1790) s(1792) =< s(1776) s(1793) =< s(1779) s(1794) =< s(1780) s(1795) =< s(1781) with precondition: [V=2,Out=2,V1>=0] #### Cost of chains of fun3(Out): * Chain [83]: 0 with precondition: [Out=0] * Chain [82]: 0 with precondition: [Out=2] #### Cost of chains of fun4(V1,Out): * Chain [86]: 8*s(2527)+20*s(2528)+3*s(2529)+1*s(2530)+3*s(2531)+2*s(2532)+1*s(2533)+3*s(2534)+1*s(2535)+3*s(2536)+6*s(2537)+6*s(2538)+1*s(2539)+5*s(2540)+5*s(2541)+5*s(2543)+5*s(2544)+4*s(2552)+1*s(2555)+1*s(2557)+1*s(2558)+2*s(2559)+2*s(2563)+22*s(2567)+21*s(2568)+3*s(2569)+14*s(2570)+7*s(2571)+8*s(2572)+18*s(2573)+4*s(2574)+3*s(2576)+78*s(2577)+9*s(2578)+3*s(2579)+10*s(2580)+0 Such that:s(2512) =< V1 s(2513) =< 2*V1 s(2514) =< 2*V1+1 s(2515) =< V1/2 s(2516) =< V1/3 s(2517) =< V1/4 s(2518) =< 2/3*V1 s(2519) =< 2/3*V1+1/3 s(2520) =< 2/5*V1+1/5 s(2521) =< 3/10*V1 s(2522) =< 3/13*V1 s(2523) =< 3/16*V1 s(2524) =< 4/5*V1 s(2525) =< 4/7*V1 s(2526) =< 4/9*V1 s(2527) =< s(2512) s(2528) =< s(2512) s(2529) =< s(2512) s(2530) =< s(2512) s(2531) =< s(2512) s(2532) =< s(2512) s(2533) =< s(2512) s(2534) =< s(2512) s(2535) =< s(2512) s(2536) =< s(2512) s(2537) =< s(2512) s(2538) =< s(2512) s(2520) =< s(2512) s(2519) =< s(2512) s(2520) =< s(2514) s(2519) =< s(2514) s(2539) =< s(2515) s(2540) =< s(2515) s(2541) =< s(2515) s(2529) =< s(2516) s(2540) =< s(2517) s(2542) =< s(2518) s(2530) =< s(2518) s(2531) =< s(2518) s(2533) =< s(2518) s(2534) =< s(2518) s(2536) =< s(2518) s(2537) =< s(2518) s(2520) =< s(2518) s(2541) =< s(2521) s(2543) =< s(2522) s(2544) =< s(2523) s(2535) =< s(2524) s(2536) =< s(2524) s(2537) =< s(2524) s(2520) =< s(2524) s(2534) =< s(2525) s(2536) =< s(2525) s(2531) =< s(2526) s(2545) =< s(2513)+3 s(2546) =< s(2513)+4 s(2547) =< s(2513)+5 s(2548) =< s(2513)+1 s(2549) =< s(2513)+2 s(2550) =< s(2513)-2 s(2542) =< s(2514)*(1/3)+s(2518) s(2530) =< s(2514)*(1/3)+s(2518) s(2531) =< s(2514)*(1/3)+s(2518) s(2532) =< s(2514)*(1/3)+s(2518) s(2533) =< s(2514)*(1/3)+s(2518) s(2534) =< s(2514)*(1/3)+s(2518) s(2535) =< s(2514)*(1/3)+s(2518) s(2536) =< s(2514)*(1/3)+s(2518) s(2538) =< s(2514)*(1/3)+s(2518) s(2520) =< s(2514)*(1/3)+s(2518) s(2537) =< s(2514)*(1/3)+s(2518) s(2534) =< s(2514)*(3/7)+s(2525) s(2535) =< s(2514)*(3/7)+s(2525) s(2536) =< s(2514)*(3/7)+s(2525) s(2537) =< s(2514)*(3/7)+s(2525) s(2538) =< s(2514)*(3/7)+s(2525) s(2535) =< s(2514)*(1/5)+s(2524) s(2536) =< s(2514)*(1/5)+s(2524) s(2537) =< s(2514)*(1/5)+s(2524) s(2538) =< s(2514)*(1/5)+s(2524) s(2520) =< s(2514)*(1/5)+s(2524) s(2531) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2532) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2533) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2534) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2535) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2536) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2537) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2538) =< s(2514)*(5/9)+s(2519)*(1/9)+s(2526) s(2529) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2530) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2531) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2532) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2533) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2534) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2535) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2536) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2537) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2538) =< s(2514)*(2/3)+s(2519)*(1/3)+s(2516) s(2541) =< s(2514)*(7/20)+s(2519)*(1/20)+s(2521) s(2527) =< s(2514)*(7/20)+s(2519)*(1/20)+s(2521) s(2540) =< s(2514)*(3/8)+s(2519)*(1/8)+s(2517) s(2541) =< s(2514)*(3/8)+s(2519)*(1/8)+s(2517) s(2527) =< s(2514)*(3/8)+s(2519)*(1/8)+s(2517) s(2539) =< s(2514)*(1/4)+s(2515) s(2540) =< s(2514)*(1/4)+s(2515) s(2541) =< s(2514)*(1/4)+s(2515) s(2527) =< s(2514)*(1/4)+s(2515) s(2543) =< s(2514)*(5/13)+s(2519)*(2/13)+s(2522) s(2539) =< s(2514)*(5/13)+s(2519)*(2/13)+s(2522) s(2540) =< s(2514)*(5/13)+s(2519)*(2/13)+s(2522) s(2541) =< s(2514)*(5/13)+s(2519)*(2/13)+s(2522) s(2527) =< s(2514)*(5/13)+s(2519)*(2/13)+s(2522) s(2551) =< s(2538)*s(2545) s(2552) =< s(2538)*s(2546) s(2553) =< s(2538)*s(2547) s(2554) =< s(2537)*s(2546) s(2555) =< s(2534)*s(2548) s(2556) =< s(2534)*s(2546) s(2557) =< s(2533)*s(2549) s(2558) =< s(2531)*s(2548) s(2559) =< s(2530)*s(2549) s(2560) =< s(2529)*s(2549) s(2544) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2543) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2539) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2540) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2541) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2527) =< s(2514)*(13/32)+s(2520)*(1/32)+s(2519)*(7/32)+s(2523) s(2561) =< s(2527)*s(2545) s(2562) =< s(2527)*s(2547) s(2563) =< s(2541)*s(2550) s(2564) =< s(2540)*s(2548) s(2565) =< s(2543)*s(2550) s(2566) =< s(2544)*s(2513) s(2567) =< s(2551) s(2568) =< s(2553) s(2552) =< s(2553) s(2569) =< s(2542) s(2570) =< s(2554) s(2571) =< s(2556) s(2572) =< s(2560) s(2573) =< s(2562) s(2574) =< s(2561) s(2574) =< s(2562) s(2575) =< s(2562) s(2575) =< s(2561) s(2576) =< s(2575) s(2577) =< s(2561) s(2578) =< s(2564) s(2579) =< s(2565) s(2580) =< s(2566) with precondition: [V1>=1,Out>=1,2*V1+1>=Out] * Chain [85]: 0 with precondition: [Out=0,V1>=0] * Chain [84]: 0 with precondition: [Out=1,V1>=0] #### Cost of chains of fun5(Out): * Chain [88]: 0 with precondition: [Out=0] * Chain [87]: 0 with precondition: [Out=1] #### Cost of chains of fun6(V1,Out): * Chain [90]: 8*s(2596)+20*s(2597)+3*s(2598)+1*s(2599)+3*s(2600)+2*s(2601)+1*s(2602)+3*s(2603)+1*s(2604)+3*s(2605)+6*s(2606)+6*s(2607)+1*s(2608)+5*s(2609)+5*s(2610)+5*s(2612)+5*s(2613)+4*s(2621)+1*s(2624)+1*s(2626)+1*s(2627)+2*s(2628)+2*s(2632)+22*s(2636)+21*s(2637)+3*s(2638)+14*s(2639)+7*s(2640)+8*s(2641)+18*s(2642)+4*s(2643)+3*s(2645)+78*s(2646)+9*s(2647)+3*s(2648)+10*s(2649)+0 Such that:s(2581) =< V1 s(2582) =< 2*V1 s(2583) =< 2*V1+1 s(2584) =< V1/2 s(2585) =< V1/3 s(2586) =< V1/4 s(2587) =< 2/3*V1 s(2588) =< 2/3*V1+1/3 s(2589) =< 2/5*V1+1/5 s(2590) =< 3/10*V1 s(2591) =< 3/13*V1 s(2592) =< 3/16*V1 s(2593) =< 4/5*V1 s(2594) =< 4/7*V1 s(2595) =< 4/9*V1 s(2596) =< s(2581) s(2597) =< s(2581) s(2598) =< s(2581) s(2599) =< s(2581) s(2600) =< s(2581) s(2601) =< s(2581) s(2602) =< s(2581) s(2603) =< s(2581) s(2604) =< s(2581) s(2605) =< s(2581) s(2606) =< s(2581) s(2607) =< s(2581) s(2589) =< s(2581) s(2588) =< s(2581) s(2589) =< s(2583) s(2588) =< s(2583) s(2608) =< s(2584) s(2609) =< s(2584) s(2610) =< s(2584) s(2598) =< s(2585) s(2609) =< s(2586) s(2611) =< s(2587) s(2599) =< s(2587) s(2600) =< s(2587) s(2602) =< s(2587) s(2603) =< s(2587) s(2605) =< s(2587) s(2606) =< s(2587) s(2589) =< s(2587) s(2610) =< s(2590) s(2612) =< s(2591) s(2613) =< s(2592) s(2604) =< s(2593) s(2605) =< s(2593) s(2606) =< s(2593) s(2589) =< s(2593) s(2603) =< s(2594) s(2605) =< s(2594) s(2600) =< s(2595) s(2614) =< s(2582)+3 s(2615) =< s(2582)+4 s(2616) =< s(2582)+5 s(2617) =< s(2582)+1 s(2618) =< s(2582)+2 s(2619) =< s(2582)-2 s(2611) =< s(2583)*(1/3)+s(2587) s(2599) =< s(2583)*(1/3)+s(2587) s(2600) =< s(2583)*(1/3)+s(2587) s(2601) =< s(2583)*(1/3)+s(2587) s(2602) =< s(2583)*(1/3)+s(2587) s(2603) =< s(2583)*(1/3)+s(2587) s(2604) =< s(2583)*(1/3)+s(2587) s(2605) =< s(2583)*(1/3)+s(2587) s(2607) =< s(2583)*(1/3)+s(2587) s(2589) =< s(2583)*(1/3)+s(2587) s(2606) =< s(2583)*(1/3)+s(2587) s(2603) =< s(2583)*(3/7)+s(2594) s(2604) =< s(2583)*(3/7)+s(2594) s(2605) =< s(2583)*(3/7)+s(2594) s(2606) =< s(2583)*(3/7)+s(2594) s(2607) =< s(2583)*(3/7)+s(2594) s(2604) =< s(2583)*(1/5)+s(2593) s(2605) =< s(2583)*(1/5)+s(2593) s(2606) =< s(2583)*(1/5)+s(2593) s(2607) =< s(2583)*(1/5)+s(2593) s(2589) =< s(2583)*(1/5)+s(2593) s(2600) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2601) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2602) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2603) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2604) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2605) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2606) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2607) =< s(2583)*(5/9)+s(2588)*(1/9)+s(2595) s(2598) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2599) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2600) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2601) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2602) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2603) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2604) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2605) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2606) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2607) =< s(2583)*(2/3)+s(2588)*(1/3)+s(2585) s(2610) =< s(2583)*(7/20)+s(2588)*(1/20)+s(2590) s(2596) =< s(2583)*(7/20)+s(2588)*(1/20)+s(2590) s(2609) =< s(2583)*(3/8)+s(2588)*(1/8)+s(2586) s(2610) =< s(2583)*(3/8)+s(2588)*(1/8)+s(2586) s(2596) =< s(2583)*(3/8)+s(2588)*(1/8)+s(2586) s(2608) =< s(2583)*(1/4)+s(2584) s(2609) =< s(2583)*(1/4)+s(2584) s(2610) =< s(2583)*(1/4)+s(2584) s(2596) =< s(2583)*(1/4)+s(2584) s(2612) =< s(2583)*(5/13)+s(2588)*(2/13)+s(2591) s(2608) =< s(2583)*(5/13)+s(2588)*(2/13)+s(2591) s(2609) =< s(2583)*(5/13)+s(2588)*(2/13)+s(2591) s(2610) =< s(2583)*(5/13)+s(2588)*(2/13)+s(2591) s(2596) =< s(2583)*(5/13)+s(2588)*(2/13)+s(2591) s(2620) =< s(2607)*s(2614) s(2621) =< s(2607)*s(2615) s(2622) =< s(2607)*s(2616) s(2623) =< s(2606)*s(2615) s(2624) =< s(2603)*s(2617) s(2625) =< s(2603)*s(2615) s(2626) =< s(2602)*s(2618) s(2627) =< s(2600)*s(2617) s(2628) =< s(2599)*s(2618) s(2629) =< s(2598)*s(2618) s(2613) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2612) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2608) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2609) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2610) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2596) =< s(2583)*(13/32)+s(2589)*(1/32)+s(2588)*(7/32)+s(2592) s(2630) =< s(2596)*s(2614) s(2631) =< s(2596)*s(2616) s(2632) =< s(2610)*s(2619) s(2633) =< s(2609)*s(2617) s(2634) =< s(2612)*s(2619) s(2635) =< s(2613)*s(2582) s(2636) =< s(2620) s(2637) =< s(2622) s(2621) =< s(2622) s(2638) =< s(2611) s(2639) =< s(2623) s(2640) =< s(2625) s(2641) =< s(2629) s(2642) =< s(2631) s(2643) =< s(2630) s(2643) =< s(2631) s(2644) =< s(2631) s(2644) =< s(2630) s(2645) =< s(2644) s(2646) =< s(2630) s(2647) =< s(2633) s(2648) =< s(2634) s(2649) =< s(2635) with precondition: [Out=0,V1>=0] * Chain [89]: 8*s(2665)+20*s(2666)+3*s(2667)+1*s(2668)+3*s(2669)+2*s(2670)+1*s(2671)+3*s(2672)+1*s(2673)+3*s(2674)+6*s(2675)+6*s(2676)+1*s(2677)+5*s(2678)+5*s(2679)+5*s(2681)+5*s(2682)+4*s(2690)+1*s(2693)+1*s(2695)+1*s(2696)+2*s(2697)+2*s(2701)+22*s(2705)+21*s(2706)+3*s(2707)+14*s(2708)+7*s(2709)+8*s(2710)+18*s(2711)+4*s(2712)+3*s(2714)+78*s(2715)+9*s(2716)+3*s(2717)+10*s(2718)+1 Such that:s(2650) =< V1 s(2651) =< 2*V1 s(2652) =< 2*V1+1 s(2653) =< V1/2 s(2654) =< V1/3 s(2655) =< V1/4 s(2656) =< 2/3*V1 s(2657) =< 2/3*V1+1/3 s(2658) =< 2/5*V1+1/5 s(2659) =< 3/10*V1 s(2660) =< 3/13*V1 s(2661) =< 3/16*V1 s(2662) =< 4/5*V1 s(2663) =< 4/7*V1 s(2664) =< 4/9*V1 s(2665) =< s(2650) s(2666) =< s(2650) s(2667) =< s(2650) s(2668) =< s(2650) s(2669) =< s(2650) s(2670) =< s(2650) s(2671) =< s(2650) s(2672) =< s(2650) s(2673) =< s(2650) s(2674) =< s(2650) s(2675) =< s(2650) s(2676) =< s(2650) s(2658) =< s(2650) s(2657) =< s(2650) s(2658) =< s(2652) s(2657) =< s(2652) s(2677) =< s(2653) s(2678) =< s(2653) s(2679) =< s(2653) s(2667) =< s(2654) s(2678) =< s(2655) s(2680) =< s(2656) s(2668) =< s(2656) s(2669) =< s(2656) s(2671) =< s(2656) s(2672) =< s(2656) s(2674) =< s(2656) s(2675) =< s(2656) s(2658) =< s(2656) s(2679) =< s(2659) s(2681) =< s(2660) s(2682) =< s(2661) s(2673) =< s(2662) s(2674) =< s(2662) s(2675) =< s(2662) s(2658) =< s(2662) s(2672) =< s(2663) s(2674) =< s(2663) s(2669) =< s(2664) s(2683) =< s(2651)+3 s(2684) =< s(2651)+4 s(2685) =< s(2651)+5 s(2686) =< s(2651)+1 s(2687) =< s(2651)+2 s(2688) =< s(2651)-2 s(2680) =< s(2652)*(1/3)+s(2656) s(2668) =< s(2652)*(1/3)+s(2656) s(2669) =< s(2652)*(1/3)+s(2656) s(2670) =< s(2652)*(1/3)+s(2656) s(2671) =< s(2652)*(1/3)+s(2656) s(2672) =< s(2652)*(1/3)+s(2656) s(2673) =< s(2652)*(1/3)+s(2656) s(2674) =< s(2652)*(1/3)+s(2656) s(2676) =< s(2652)*(1/3)+s(2656) s(2658) =< s(2652)*(1/3)+s(2656) s(2675) =< s(2652)*(1/3)+s(2656) s(2672) =< s(2652)*(3/7)+s(2663) s(2673) =< s(2652)*(3/7)+s(2663) s(2674) =< s(2652)*(3/7)+s(2663) s(2675) =< s(2652)*(3/7)+s(2663) s(2676) =< s(2652)*(3/7)+s(2663) s(2673) =< s(2652)*(1/5)+s(2662) s(2674) =< s(2652)*(1/5)+s(2662) s(2675) =< s(2652)*(1/5)+s(2662) s(2676) =< s(2652)*(1/5)+s(2662) s(2658) =< s(2652)*(1/5)+s(2662) s(2669) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2670) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2671) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2672) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2673) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2674) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2675) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2676) =< s(2652)*(5/9)+s(2657)*(1/9)+s(2664) s(2667) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2668) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2669) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2670) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2671) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2672) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2673) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2674) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2675) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2676) =< s(2652)*(2/3)+s(2657)*(1/3)+s(2654) s(2679) =< s(2652)*(7/20)+s(2657)*(1/20)+s(2659) s(2665) =< s(2652)*(7/20)+s(2657)*(1/20)+s(2659) s(2678) =< s(2652)*(3/8)+s(2657)*(1/8)+s(2655) s(2679) =< s(2652)*(3/8)+s(2657)*(1/8)+s(2655) s(2665) =< s(2652)*(3/8)+s(2657)*(1/8)+s(2655) s(2677) =< s(2652)*(1/4)+s(2653) s(2678) =< s(2652)*(1/4)+s(2653) s(2679) =< s(2652)*(1/4)+s(2653) s(2665) =< s(2652)*(1/4)+s(2653) s(2681) =< s(2652)*(5/13)+s(2657)*(2/13)+s(2660) s(2677) =< s(2652)*(5/13)+s(2657)*(2/13)+s(2660) s(2678) =< s(2652)*(5/13)+s(2657)*(2/13)+s(2660) s(2679) =< s(2652)*(5/13)+s(2657)*(2/13)+s(2660) s(2665) =< s(2652)*(5/13)+s(2657)*(2/13)+s(2660) s(2689) =< s(2676)*s(2683) s(2690) =< s(2676)*s(2684) s(2691) =< s(2676)*s(2685) s(2692) =< s(2675)*s(2684) s(2693) =< s(2672)*s(2686) s(2694) =< s(2672)*s(2684) s(2695) =< s(2671)*s(2687) s(2696) =< s(2669)*s(2686) s(2697) =< s(2668)*s(2687) s(2698) =< s(2667)*s(2687) s(2682) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2681) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2677) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2678) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2679) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2665) =< s(2652)*(13/32)+s(2658)*(1/32)+s(2657)*(7/32)+s(2661) s(2699) =< s(2665)*s(2683) s(2700) =< s(2665)*s(2685) s(2701) =< s(2679)*s(2688) s(2702) =< s(2678)*s(2686) s(2703) =< s(2681)*s(2688) s(2704) =< s(2682)*s(2651) s(2705) =< s(2689) s(2706) =< s(2691) s(2690) =< s(2691) s(2707) =< s(2680) s(2708) =< s(2692) s(2709) =< s(2694) s(2710) =< s(2698) s(2711) =< s(2700) s(2712) =< s(2699) s(2712) =< s(2700) s(2713) =< s(2700) s(2713) =< s(2699) s(2714) =< s(2713) s(2715) =< s(2699) s(2716) =< s(2702) s(2717) =< s(2703) s(2718) =< s(2704) with precondition: [V1>=1,Out>=0,2*V1>=Out+1] #### Cost of chains of fun7(V1,V,Out): * Chain [95]: 16*s(2734)+40*s(2735)+6*s(2736)+2*s(2737)+6*s(2738)+4*s(2739)+2*s(2740)+6*s(2741)+2*s(2742)+6*s(2743)+12*s(2744)+12*s(2745)+2*s(2746)+10*s(2747)+10*s(2748)+10*s(2750)+10*s(2751)+8*s(2759)+2*s(2762)+2*s(2764)+2*s(2765)+4*s(2766)+4*s(2770)+44*s(2774)+42*s(2775)+6*s(2776)+28*s(2777)+14*s(2778)+16*s(2779)+36*s(2780)+8*s(2781)+6*s(2783)+156*s(2784)+18*s(2785)+6*s(2786)+20*s(2787)+32*s(2803)+80*s(2804)+12*s(2805)+4*s(2806)+12*s(2807)+8*s(2808)+4*s(2809)+12*s(2810)+4*s(2811)+12*s(2812)+24*s(2813)+24*s(2814)+4*s(2815)+20*s(2816)+20*s(2817)+20*s(2819)+20*s(2820)+16*s(2828)+4*s(2831)+4*s(2833)+4*s(2834)+8*s(2835)+8*s(2839)+88*s(2843)+84*s(2844)+12*s(2845)+56*s(2846)+28*s(2847)+32*s(2848)+72*s(2849)+16*s(2850)+12*s(2852)+312*s(2853)+36*s(2854)+12*s(2855)+40*s(2856)+15*s(2858)+7*s(3002)+1 Such that:aux(237) =< 2 aux(238) =< V1 aux(239) =< 2*V1 aux(240) =< 2*V1+1 aux(241) =< V1/2 aux(242) =< V1/3 aux(243) =< V1/4 aux(244) =< 2/3*V1 aux(245) =< 2/3*V1+1/3 aux(246) =< 2/5*V1+1/5 aux(247) =< 3/10*V1 aux(248) =< 3/13*V1 aux(249) =< 3/16*V1 aux(250) =< 4/5*V1 aux(251) =< 4/7*V1 aux(252) =< 4/9*V1 aux(253) =< V aux(254) =< 2*V aux(255) =< 2*V+1 aux(256) =< V/2 aux(257) =< V/3 aux(258) =< V/4 aux(259) =< 2/3*V aux(260) =< 2/3*V+1/3 aux(261) =< 2/5*V+1/5 aux(262) =< 3/10*V aux(263) =< 3/13*V aux(264) =< 3/16*V aux(265) =< 4/5*V aux(266) =< 4/7*V aux(267) =< 4/9*V s(3002) =< aux(237) s(2726) =< aux(245) s(2727) =< aux(246) s(2795) =< aux(260) s(2796) =< aux(261) s(2858) =< aux(254) s(2803) =< aux(253) s(2804) =< aux(253) s(2805) =< aux(253) s(2806) =< aux(253) s(2807) =< aux(253) s(2808) =< aux(253) s(2809) =< aux(253) s(2810) =< aux(253) s(2811) =< aux(253) s(2812) =< aux(253) s(2813) =< aux(253) s(2814) =< aux(253) s(2796) =< aux(253) s(2795) =< aux(253) s(2796) =< aux(255) s(2795) =< aux(255) s(2815) =< aux(256) s(2816) =< aux(256) s(2817) =< aux(256) s(2805) =< aux(257) s(2816) =< aux(258) s(2818) =< aux(259) s(2806) =< aux(259) s(2807) =< aux(259) s(2809) =< aux(259) s(2810) =< aux(259) s(2812) =< aux(259) s(2813) =< aux(259) s(2796) =< aux(259) s(2817) =< aux(262) s(2819) =< aux(263) s(2820) =< aux(264) s(2811) =< aux(265) s(2812) =< aux(265) s(2813) =< aux(265) s(2796) =< aux(265) s(2810) =< aux(266) s(2812) =< aux(266) s(2807) =< aux(267) s(2821) =< aux(254)+3 s(2822) =< aux(254)+4 s(2823) =< aux(254)+5 s(2824) =< aux(254)+1 s(2825) =< aux(254)+2 s(2826) =< aux(254)-2 s(2818) =< aux(255)*(1/3)+aux(259) s(2806) =< aux(255)*(1/3)+aux(259) s(2807) =< aux(255)*(1/3)+aux(259) s(2808) =< aux(255)*(1/3)+aux(259) s(2809) =< aux(255)*(1/3)+aux(259) s(2810) =< aux(255)*(1/3)+aux(259) s(2811) =< aux(255)*(1/3)+aux(259) s(2812) =< aux(255)*(1/3)+aux(259) s(2814) =< aux(255)*(1/3)+aux(259) s(2796) =< aux(255)*(1/3)+aux(259) s(2813) =< aux(255)*(1/3)+aux(259) s(2810) =< aux(255)*(3/7)+aux(266) s(2811) =< aux(255)*(3/7)+aux(266) s(2812) =< aux(255)*(3/7)+aux(266) s(2813) =< aux(255)*(3/7)+aux(266) s(2814) =< aux(255)*(3/7)+aux(266) s(2811) =< aux(255)*(1/5)+aux(265) s(2812) =< aux(255)*(1/5)+aux(265) s(2813) =< aux(255)*(1/5)+aux(265) s(2814) =< aux(255)*(1/5)+aux(265) s(2796) =< aux(255)*(1/5)+aux(265) s(2807) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2808) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2809) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2810) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2811) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2812) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2813) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2814) =< aux(255)*(5/9)+s(2795)*(1/9)+aux(267) s(2805) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2806) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2807) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2808) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2809) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2810) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2811) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2812) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2813) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2814) =< aux(255)*(2/3)+s(2795)*(1/3)+aux(257) s(2817) =< aux(255)*(7/20)+s(2795)*(1/20)+aux(262) s(2803) =< aux(255)*(7/20)+s(2795)*(1/20)+aux(262) s(2816) =< aux(255)*(3/8)+s(2795)*(1/8)+aux(258) s(2817) =< aux(255)*(3/8)+s(2795)*(1/8)+aux(258) s(2803) =< aux(255)*(3/8)+s(2795)*(1/8)+aux(258) s(2815) =< aux(255)*(1/4)+aux(256) s(2816) =< aux(255)*(1/4)+aux(256) s(2817) =< aux(255)*(1/4)+aux(256) s(2803) =< aux(255)*(1/4)+aux(256) s(2819) =< aux(255)*(5/13)+s(2795)*(2/13)+aux(263) s(2815) =< aux(255)*(5/13)+s(2795)*(2/13)+aux(263) s(2816) =< aux(255)*(5/13)+s(2795)*(2/13)+aux(263) s(2817) =< aux(255)*(5/13)+s(2795)*(2/13)+aux(263) s(2803) =< aux(255)*(5/13)+s(2795)*(2/13)+aux(263) s(2827) =< s(2814)*s(2821) s(2828) =< s(2814)*s(2822) s(2829) =< s(2814)*s(2823) s(2830) =< s(2813)*s(2822) s(2831) =< s(2810)*s(2824) s(2832) =< s(2810)*s(2822) s(2833) =< s(2809)*s(2825) s(2834) =< s(2807)*s(2824) s(2835) =< s(2806)*s(2825) s(2836) =< s(2805)*s(2825) s(2820) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2819) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2815) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2816) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2817) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2803) =< aux(255)*(13/32)+s(2796)*(1/32)+s(2795)*(7/32)+aux(264) s(2837) =< s(2803)*s(2821) s(2838) =< s(2803)*s(2823) s(2839) =< s(2817)*s(2826) s(2840) =< s(2816)*s(2824) s(2841) =< s(2819)*s(2826) s(2842) =< s(2820)*aux(254) s(2843) =< s(2827) s(2844) =< s(2829) s(2828) =< s(2829) s(2845) =< s(2818) s(2846) =< s(2830) s(2847) =< s(2832) s(2848) =< s(2836) s(2849) =< s(2838) s(2850) =< s(2837) s(2850) =< s(2838) s(2851) =< s(2838) s(2851) =< s(2837) s(2852) =< s(2851) s(2853) =< s(2837) s(2854) =< s(2840) s(2855) =< s(2841) s(2856) =< s(2842) s(2734) =< aux(238) s(2735) =< aux(238) s(2736) =< aux(238) s(2737) =< aux(238) s(2738) =< aux(238) s(2739) =< aux(238) s(2740) =< aux(238) s(2741) =< aux(238) s(2742) =< aux(238) s(2743) =< aux(238) s(2744) =< aux(238) s(2745) =< aux(238) s(2727) =< aux(238) s(2726) =< aux(238) s(2727) =< aux(240) s(2726) =< aux(240) s(2746) =< aux(241) s(2747) =< aux(241) s(2748) =< aux(241) s(2736) =< aux(242) s(2747) =< aux(243) s(2749) =< aux(244) s(2737) =< aux(244) s(2738) =< aux(244) s(2740) =< aux(244) s(2741) =< aux(244) s(2743) =< aux(244) s(2744) =< aux(244) s(2727) =< aux(244) s(2748) =< aux(247) s(2750) =< aux(248) s(2751) =< aux(249) s(2742) =< aux(250) s(2743) =< aux(250) s(2744) =< aux(250) s(2727) =< aux(250) s(2741) =< aux(251) s(2743) =< aux(251) s(2738) =< aux(252) s(2752) =< aux(239)+3 s(2753) =< aux(239)+4 s(2754) =< aux(239)+5 s(2755) =< aux(239)+1 s(2756) =< aux(239)+2 s(2757) =< aux(239)-2 s(2749) =< aux(240)*(1/3)+aux(244) s(2737) =< aux(240)*(1/3)+aux(244) s(2738) =< aux(240)*(1/3)+aux(244) s(2739) =< aux(240)*(1/3)+aux(244) s(2740) =< aux(240)*(1/3)+aux(244) s(2741) =< aux(240)*(1/3)+aux(244) s(2742) =< aux(240)*(1/3)+aux(244) s(2743) =< aux(240)*(1/3)+aux(244) s(2745) =< aux(240)*(1/3)+aux(244) s(2727) =< aux(240)*(1/3)+aux(244) s(2744) =< aux(240)*(1/3)+aux(244) s(2741) =< aux(240)*(3/7)+aux(251) s(2742) =< aux(240)*(3/7)+aux(251) s(2743) =< aux(240)*(3/7)+aux(251) s(2744) =< aux(240)*(3/7)+aux(251) s(2745) =< aux(240)*(3/7)+aux(251) s(2742) =< aux(240)*(1/5)+aux(250) s(2743) =< aux(240)*(1/5)+aux(250) s(2744) =< aux(240)*(1/5)+aux(250) s(2745) =< aux(240)*(1/5)+aux(250) s(2727) =< aux(240)*(1/5)+aux(250) s(2738) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2739) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2740) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2741) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2742) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2743) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2744) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2745) =< aux(240)*(5/9)+s(2726)*(1/9)+aux(252) s(2736) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2737) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2738) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2739) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2740) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2741) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2742) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2743) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2744) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2745) =< aux(240)*(2/3)+s(2726)*(1/3)+aux(242) s(2748) =< aux(240)*(7/20)+s(2726)*(1/20)+aux(247) s(2734) =< aux(240)*(7/20)+s(2726)*(1/20)+aux(247) s(2747) =< aux(240)*(3/8)+s(2726)*(1/8)+aux(243) s(2748) =< aux(240)*(3/8)+s(2726)*(1/8)+aux(243) s(2734) =< aux(240)*(3/8)+s(2726)*(1/8)+aux(243) s(2746) =< aux(240)*(1/4)+aux(241) s(2747) =< aux(240)*(1/4)+aux(241) s(2748) =< aux(240)*(1/4)+aux(241) s(2734) =< aux(240)*(1/4)+aux(241) s(2750) =< aux(240)*(5/13)+s(2726)*(2/13)+aux(248) s(2746) =< aux(240)*(5/13)+s(2726)*(2/13)+aux(248) s(2747) =< aux(240)*(5/13)+s(2726)*(2/13)+aux(248) s(2748) =< aux(240)*(5/13)+s(2726)*(2/13)+aux(248) s(2734) =< aux(240)*(5/13)+s(2726)*(2/13)+aux(248) s(2758) =< s(2745)*s(2752) s(2759) =< s(2745)*s(2753) s(2760) =< s(2745)*s(2754) s(2761) =< s(2744)*s(2753) s(2762) =< s(2741)*s(2755) s(2763) =< s(2741)*s(2753) s(2764) =< s(2740)*s(2756) s(2765) =< s(2738)*s(2755) s(2766) =< s(2737)*s(2756) s(2767) =< s(2736)*s(2756) s(2751) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2750) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2746) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2747) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2748) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2734) =< aux(240)*(13/32)+s(2727)*(1/32)+s(2726)*(7/32)+aux(249) s(2768) =< s(2734)*s(2752) s(2769) =< s(2734)*s(2754) s(2770) =< s(2748)*s(2757) s(2771) =< s(2747)*s(2755) s(2772) =< s(2750)*s(2757) s(2773) =< s(2751)*aux(239) s(2774) =< s(2758) s(2775) =< s(2760) s(2759) =< s(2760) s(2776) =< s(2749) s(2777) =< s(2761) s(2778) =< s(2763) s(2779) =< s(2767) s(2780) =< s(2769) s(2781) =< s(2768) s(2781) =< s(2769) s(2782) =< s(2769) s(2782) =< s(2768) s(2783) =< s(2782) s(2784) =< s(2768) s(2785) =< s(2771) s(2786) =< s(2772) s(2787) =< s(2773) with precondition: [Out=0,V1>=0,V>=0] * Chain [94]: 24*s(3163)+60*s(3164)+9*s(3165)+3*s(3166)+9*s(3167)+6*s(3168)+3*s(3169)+9*s(3170)+3*s(3171)+9*s(3172)+18*s(3173)+18*s(3174)+3*s(3175)+15*s(3176)+15*s(3177)+15*s(3179)+15*s(3180)+12*s(3188)+3*s(3191)+3*s(3193)+3*s(3194)+6*s(3195)+6*s(3199)+66*s(3203)+63*s(3204)+9*s(3205)+42*s(3206)+21*s(3207)+24*s(3208)+54*s(3209)+12*s(3210)+9*s(3212)+234*s(3213)+27*s(3214)+9*s(3215)+30*s(3216)+24*s(3232)+60*s(3233)+9*s(3234)+3*s(3235)+9*s(3236)+6*s(3237)+3*s(3238)+9*s(3239)+3*s(3240)+9*s(3241)+18*s(3242)+18*s(3243)+3*s(3244)+15*s(3245)+15*s(3246)+15*s(3248)+15*s(3249)+12*s(3257)+3*s(3260)+3*s(3262)+3*s(3263)+6*s(3264)+6*s(3268)+66*s(3272)+63*s(3273)+9*s(3274)+42*s(3275)+21*s(3276)+24*s(3277)+54*s(3278)+12*s(3279)+9*s(3281)+234*s(3282)+27*s(3283)+9*s(3284)+30*s(3285)+2*s(3424)+1 Such that:aux(269) =< V1 aux(270) =< 2*V1 aux(271) =< 2*V1+1 aux(272) =< V1/2 aux(273) =< V1/3 aux(274) =< V1/4 aux(275) =< 2/3*V1 aux(276) =< 2/3*V1+1/3 aux(277) =< 2/5*V1+1/5 aux(278) =< 3/10*V1 aux(279) =< 3/13*V1 aux(280) =< 3/16*V1 aux(281) =< 4/5*V1 aux(282) =< 4/7*V1 aux(283) =< 4/9*V1 aux(284) =< V aux(285) =< 2*V aux(286) =< 2*V+1 aux(287) =< V/2 aux(288) =< V/3 aux(289) =< V/4 aux(290) =< 2/3*V aux(291) =< 2/3*V+1/3 aux(292) =< 2/5*V+1/5 aux(293) =< 3/10*V aux(294) =< 3/13*V aux(295) =< 3/16*V aux(296) =< 4/5*V aux(297) =< 4/7*V aux(298) =< 4/9*V s(3155) =< aux(276) s(3156) =< aux(277) s(3224) =< aux(291) s(3225) =< aux(292) s(3232) =< aux(284) s(3233) =< aux(284) s(3234) =< aux(284) s(3235) =< aux(284) s(3236) =< aux(284) s(3237) =< aux(284) s(3238) =< aux(284) s(3239) =< aux(284) s(3240) =< aux(284) s(3241) =< aux(284) s(3242) =< aux(284) s(3243) =< aux(284) s(3225) =< aux(284) s(3224) =< aux(284) s(3225) =< aux(286) s(3224) =< aux(286) s(3244) =< aux(287) s(3245) =< aux(287) s(3246) =< aux(287) s(3234) =< aux(288) s(3245) =< aux(289) s(3247) =< aux(290) s(3235) =< aux(290) s(3236) =< aux(290) s(3238) =< aux(290) s(3239) =< aux(290) s(3241) =< aux(290) s(3242) =< aux(290) s(3225) =< aux(290) s(3246) =< aux(293) s(3248) =< aux(294) s(3249) =< aux(295) s(3240) =< aux(296) s(3241) =< aux(296) s(3242) =< aux(296) s(3225) =< aux(296) s(3239) =< aux(297) s(3241) =< aux(297) s(3236) =< aux(298) s(3250) =< aux(285)+3 s(3251) =< aux(285)+4 s(3252) =< aux(285)+5 s(3253) =< aux(285)+1 s(3254) =< aux(285)+2 s(3255) =< aux(285)-2 s(3247) =< aux(286)*(1/3)+aux(290) s(3235) =< aux(286)*(1/3)+aux(290) s(3236) =< aux(286)*(1/3)+aux(290) s(3237) =< aux(286)*(1/3)+aux(290) s(3238) =< aux(286)*(1/3)+aux(290) s(3239) =< aux(286)*(1/3)+aux(290) s(3240) =< aux(286)*(1/3)+aux(290) s(3241) =< aux(286)*(1/3)+aux(290) s(3243) =< aux(286)*(1/3)+aux(290) s(3225) =< aux(286)*(1/3)+aux(290) s(3242) =< aux(286)*(1/3)+aux(290) s(3239) =< aux(286)*(3/7)+aux(297) s(3240) =< aux(286)*(3/7)+aux(297) s(3241) =< aux(286)*(3/7)+aux(297) s(3242) =< aux(286)*(3/7)+aux(297) s(3243) =< aux(286)*(3/7)+aux(297) s(3240) =< aux(286)*(1/5)+aux(296) s(3241) =< aux(286)*(1/5)+aux(296) s(3242) =< aux(286)*(1/5)+aux(296) s(3243) =< aux(286)*(1/5)+aux(296) s(3225) =< aux(286)*(1/5)+aux(296) s(3236) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3237) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3238) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3239) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3240) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3241) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3242) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3243) =< aux(286)*(5/9)+s(3224)*(1/9)+aux(298) s(3234) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3235) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3236) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3237) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3238) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3239) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3240) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3241) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3242) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3243) =< aux(286)*(2/3)+s(3224)*(1/3)+aux(288) s(3246) =< aux(286)*(7/20)+s(3224)*(1/20)+aux(293) s(3232) =< aux(286)*(7/20)+s(3224)*(1/20)+aux(293) s(3245) =< aux(286)*(3/8)+s(3224)*(1/8)+aux(289) s(3246) =< aux(286)*(3/8)+s(3224)*(1/8)+aux(289) s(3232) =< aux(286)*(3/8)+s(3224)*(1/8)+aux(289) s(3244) =< aux(286)*(1/4)+aux(287) s(3245) =< aux(286)*(1/4)+aux(287) s(3246) =< aux(286)*(1/4)+aux(287) s(3232) =< aux(286)*(1/4)+aux(287) s(3248) =< aux(286)*(5/13)+s(3224)*(2/13)+aux(294) s(3244) =< aux(286)*(5/13)+s(3224)*(2/13)+aux(294) s(3245) =< aux(286)*(5/13)+s(3224)*(2/13)+aux(294) s(3246) =< aux(286)*(5/13)+s(3224)*(2/13)+aux(294) s(3232) =< aux(286)*(5/13)+s(3224)*(2/13)+aux(294) s(3256) =< s(3243)*s(3250) s(3257) =< s(3243)*s(3251) s(3258) =< s(3243)*s(3252) s(3259) =< s(3242)*s(3251) s(3260) =< s(3239)*s(3253) s(3261) =< s(3239)*s(3251) s(3262) =< s(3238)*s(3254) s(3263) =< s(3236)*s(3253) s(3264) =< s(3235)*s(3254) s(3265) =< s(3234)*s(3254) s(3249) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3248) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3244) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3245) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3246) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3232) =< aux(286)*(13/32)+s(3225)*(1/32)+s(3224)*(7/32)+aux(295) s(3266) =< s(3232)*s(3250) s(3267) =< s(3232)*s(3252) s(3268) =< s(3246)*s(3255) s(3269) =< s(3245)*s(3253) s(3270) =< s(3248)*s(3255) s(3271) =< s(3249)*aux(285) s(3272) =< s(3256) s(3273) =< s(3258) s(3257) =< s(3258) s(3274) =< s(3247) s(3275) =< s(3259) s(3276) =< s(3261) s(3277) =< s(3265) s(3278) =< s(3267) s(3279) =< s(3266) s(3279) =< s(3267) s(3280) =< s(3267) s(3280) =< s(3266) s(3281) =< s(3280) s(3282) =< s(3266) s(3283) =< s(3269) s(3284) =< s(3270) s(3285) =< s(3271) s(3163) =< aux(269) s(3164) =< aux(269) s(3165) =< aux(269) s(3166) =< aux(269) s(3167) =< aux(269) s(3168) =< aux(269) s(3169) =< aux(269) s(3170) =< aux(269) s(3171) =< aux(269) s(3172) =< aux(269) s(3173) =< aux(269) s(3174) =< aux(269) s(3156) =< aux(269) s(3155) =< aux(269) s(3156) =< aux(271) s(3155) =< aux(271) s(3175) =< aux(272) s(3176) =< aux(272) s(3177) =< aux(272) s(3165) =< aux(273) s(3176) =< aux(274) s(3178) =< aux(275) s(3166) =< aux(275) s(3167) =< aux(275) s(3169) =< aux(275) s(3170) =< aux(275) s(3172) =< aux(275) s(3173) =< aux(275) s(3156) =< aux(275) s(3177) =< aux(278) s(3179) =< aux(279) s(3180) =< aux(280) s(3171) =< aux(281) s(3172) =< aux(281) s(3173) =< aux(281) s(3156) =< aux(281) s(3170) =< aux(282) s(3172) =< aux(282) s(3167) =< aux(283) s(3181) =< aux(270)+3 s(3182) =< aux(270)+4 s(3183) =< aux(270)+5 s(3184) =< aux(270)+1 s(3185) =< aux(270)+2 s(3186) =< aux(270)-2 s(3178) =< aux(271)*(1/3)+aux(275) s(3166) =< aux(271)*(1/3)+aux(275) s(3167) =< aux(271)*(1/3)+aux(275) s(3168) =< aux(271)*(1/3)+aux(275) s(3169) =< aux(271)*(1/3)+aux(275) s(3170) =< aux(271)*(1/3)+aux(275) s(3171) =< aux(271)*(1/3)+aux(275) s(3172) =< aux(271)*(1/3)+aux(275) s(3174) =< aux(271)*(1/3)+aux(275) s(3156) =< aux(271)*(1/3)+aux(275) s(3173) =< aux(271)*(1/3)+aux(275) s(3170) =< aux(271)*(3/7)+aux(282) s(3171) =< aux(271)*(3/7)+aux(282) s(3172) =< aux(271)*(3/7)+aux(282) s(3173) =< aux(271)*(3/7)+aux(282) s(3174) =< aux(271)*(3/7)+aux(282) s(3171) =< aux(271)*(1/5)+aux(281) s(3172) =< aux(271)*(1/5)+aux(281) s(3173) =< aux(271)*(1/5)+aux(281) s(3174) =< aux(271)*(1/5)+aux(281) s(3156) =< aux(271)*(1/5)+aux(281) s(3167) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3168) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3169) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3170) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3171) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3172) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3173) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3174) =< aux(271)*(5/9)+s(3155)*(1/9)+aux(283) s(3165) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3166) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3167) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3168) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3169) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3170) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3171) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3172) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3173) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3174) =< aux(271)*(2/3)+s(3155)*(1/3)+aux(273) s(3177) =< aux(271)*(7/20)+s(3155)*(1/20)+aux(278) s(3163) =< aux(271)*(7/20)+s(3155)*(1/20)+aux(278) s(3176) =< aux(271)*(3/8)+s(3155)*(1/8)+aux(274) s(3177) =< aux(271)*(3/8)+s(3155)*(1/8)+aux(274) s(3163) =< aux(271)*(3/8)+s(3155)*(1/8)+aux(274) s(3175) =< aux(271)*(1/4)+aux(272) s(3176) =< aux(271)*(1/4)+aux(272) s(3177) =< aux(271)*(1/4)+aux(272) s(3163) =< aux(271)*(1/4)+aux(272) s(3179) =< aux(271)*(5/13)+s(3155)*(2/13)+aux(279) s(3175) =< aux(271)*(5/13)+s(3155)*(2/13)+aux(279) s(3176) =< aux(271)*(5/13)+s(3155)*(2/13)+aux(279) s(3177) =< aux(271)*(5/13)+s(3155)*(2/13)+aux(279) s(3163) =< aux(271)*(5/13)+s(3155)*(2/13)+aux(279) s(3187) =< s(3174)*s(3181) s(3188) =< s(3174)*s(3182) s(3189) =< s(3174)*s(3183) s(3190) =< s(3173)*s(3182) s(3191) =< s(3170)*s(3184) s(3192) =< s(3170)*s(3182) s(3193) =< s(3169)*s(3185) s(3194) =< s(3167)*s(3184) s(3195) =< s(3166)*s(3185) s(3196) =< s(3165)*s(3185) s(3180) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3179) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3175) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3176) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3177) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3163) =< aux(271)*(13/32)+s(3156)*(1/32)+s(3155)*(7/32)+aux(280) s(3197) =< s(3163)*s(3181) s(3198) =< s(3163)*s(3183) s(3199) =< s(3177)*s(3186) s(3200) =< s(3176)*s(3184) s(3201) =< s(3179)*s(3186) s(3202) =< s(3180)*aux(270) s(3203) =< s(3187) s(3204) =< s(3189) s(3188) =< s(3189) s(3205) =< s(3178) s(3206) =< s(3190) s(3207) =< s(3192) s(3208) =< s(3196) s(3209) =< s(3198) s(3210) =< s(3197) s(3210) =< s(3198) s(3211) =< s(3198) s(3211) =< s(3197) s(3212) =< s(3211) s(3213) =< s(3197) s(3214) =< s(3200) s(3215) =< s(3201) s(3216) =< s(3202) s(3424) =< aux(285) with precondition: [V1>=1,V>=0,Out>=0,2*V1>=Out] * Chain [93]: 8*s(3578)+20*s(3579)+3*s(3580)+1*s(3581)+3*s(3582)+2*s(3583)+1*s(3584)+3*s(3585)+1*s(3586)+3*s(3587)+6*s(3588)+6*s(3589)+1*s(3590)+5*s(3591)+5*s(3592)+5*s(3594)+5*s(3595)+4*s(3603)+1*s(3606)+1*s(3608)+1*s(3609)+2*s(3610)+2*s(3614)+22*s(3618)+21*s(3619)+3*s(3620)+14*s(3621)+7*s(3622)+8*s(3623)+18*s(3624)+4*s(3625)+3*s(3627)+78*s(3628)+9*s(3629)+3*s(3630)+10*s(3631)+2*s(3632)+1 Such that:s(3632) =< 2 s(3563) =< V s(3564) =< 2*V s(3565) =< 2*V+1 s(3566) =< V/2 s(3567) =< V/3 s(3568) =< V/4 s(3569) =< 2/3*V s(3570) =< 2/3*V+1/3 s(3571) =< 2/5*V+1/5 s(3572) =< 3/10*V s(3573) =< 3/13*V s(3574) =< 3/16*V s(3575) =< 4/5*V s(3576) =< 4/7*V s(3577) =< 4/9*V s(3578) =< s(3563) s(3579) =< s(3563) s(3580) =< s(3563) s(3581) =< s(3563) s(3582) =< s(3563) s(3583) =< s(3563) s(3584) =< s(3563) s(3585) =< s(3563) s(3586) =< s(3563) s(3587) =< s(3563) s(3588) =< s(3563) s(3589) =< s(3563) s(3571) =< s(3563) s(3570) =< s(3563) s(3571) =< s(3565) s(3570) =< s(3565) s(3590) =< s(3566) s(3591) =< s(3566) s(3592) =< s(3566) s(3580) =< s(3567) s(3591) =< s(3568) s(3593) =< s(3569) s(3581) =< s(3569) s(3582) =< s(3569) s(3584) =< s(3569) s(3585) =< s(3569) s(3587) =< s(3569) s(3588) =< s(3569) s(3571) =< s(3569) s(3592) =< s(3572) s(3594) =< s(3573) s(3595) =< s(3574) s(3586) =< s(3575) s(3587) =< s(3575) s(3588) =< s(3575) s(3571) =< s(3575) s(3585) =< s(3576) s(3587) =< s(3576) s(3582) =< s(3577) s(3596) =< s(3564)+3 s(3597) =< s(3564)+4 s(3598) =< s(3564)+5 s(3599) =< s(3564)+1 s(3600) =< s(3564)+2 s(3601) =< s(3564)-2 s(3593) =< s(3565)*(1/3)+s(3569) s(3581) =< s(3565)*(1/3)+s(3569) s(3582) =< s(3565)*(1/3)+s(3569) s(3583) =< s(3565)*(1/3)+s(3569) s(3584) =< s(3565)*(1/3)+s(3569) s(3585) =< s(3565)*(1/3)+s(3569) s(3586) =< s(3565)*(1/3)+s(3569) s(3587) =< s(3565)*(1/3)+s(3569) s(3589) =< s(3565)*(1/3)+s(3569) s(3571) =< s(3565)*(1/3)+s(3569) s(3588) =< s(3565)*(1/3)+s(3569) s(3585) =< s(3565)*(3/7)+s(3576) s(3586) =< s(3565)*(3/7)+s(3576) s(3587) =< s(3565)*(3/7)+s(3576) s(3588) =< s(3565)*(3/7)+s(3576) s(3589) =< s(3565)*(3/7)+s(3576) s(3586) =< s(3565)*(1/5)+s(3575) s(3587) =< s(3565)*(1/5)+s(3575) s(3588) =< s(3565)*(1/5)+s(3575) s(3589) =< s(3565)*(1/5)+s(3575) s(3571) =< s(3565)*(1/5)+s(3575) s(3582) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3583) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3584) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3585) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3586) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3587) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3588) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3589) =< s(3565)*(5/9)+s(3570)*(1/9)+s(3577) s(3580) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3581) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3582) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3583) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3584) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3585) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3586) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3587) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3588) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3589) =< s(3565)*(2/3)+s(3570)*(1/3)+s(3567) s(3592) =< s(3565)*(7/20)+s(3570)*(1/20)+s(3572) s(3578) =< s(3565)*(7/20)+s(3570)*(1/20)+s(3572) s(3591) =< s(3565)*(3/8)+s(3570)*(1/8)+s(3568) s(3592) =< s(3565)*(3/8)+s(3570)*(1/8)+s(3568) s(3578) =< s(3565)*(3/8)+s(3570)*(1/8)+s(3568) s(3590) =< s(3565)*(1/4)+s(3566) s(3591) =< s(3565)*(1/4)+s(3566) s(3592) =< s(3565)*(1/4)+s(3566) s(3578) =< s(3565)*(1/4)+s(3566) s(3594) =< s(3565)*(5/13)+s(3570)*(2/13)+s(3573) s(3590) =< s(3565)*(5/13)+s(3570)*(2/13)+s(3573) s(3591) =< s(3565)*(5/13)+s(3570)*(2/13)+s(3573) s(3592) =< s(3565)*(5/13)+s(3570)*(2/13)+s(3573) s(3578) =< s(3565)*(5/13)+s(3570)*(2/13)+s(3573) s(3602) =< s(3589)*s(3596) s(3603) =< s(3589)*s(3597) s(3604) =< s(3589)*s(3598) s(3605) =< s(3588)*s(3597) s(3606) =< s(3585)*s(3599) s(3607) =< s(3585)*s(3597) s(3608) =< s(3584)*s(3600) s(3609) =< s(3582)*s(3599) s(3610) =< s(3581)*s(3600) s(3611) =< s(3580)*s(3600) s(3595) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3594) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3590) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3591) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3592) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3578) =< s(3565)*(13/32)+s(3571)*(1/32)+s(3570)*(7/32)+s(3574) s(3612) =< s(3578)*s(3596) s(3613) =< s(3578)*s(3598) s(3614) =< s(3592)*s(3601) s(3615) =< s(3591)*s(3599) s(3616) =< s(3594)*s(3601) s(3617) =< s(3595)*s(3564) s(3618) =< s(3602) s(3619) =< s(3604) s(3603) =< s(3604) s(3620) =< s(3593) s(3621) =< s(3605) s(3622) =< s(3607) s(3623) =< s(3611) s(3624) =< s(3613) s(3625) =< s(3612) s(3625) =< s(3613) s(3626) =< s(3613) s(3626) =< s(3612) s(3627) =< s(3626) s(3628) =< s(3612) s(3629) =< s(3615) s(3630) =< s(3616) s(3631) =< s(3617) with precondition: [V1=2,1>=Out,V>=1,Out>=0] * Chain [92]: 8*s(3648)+20*s(3649)+3*s(3650)+1*s(3651)+3*s(3652)+2*s(3653)+1*s(3654)+3*s(3655)+1*s(3656)+3*s(3657)+6*s(3658)+6*s(3659)+1*s(3660)+5*s(3661)+5*s(3662)+5*s(3664)+5*s(3665)+4*s(3673)+1*s(3676)+1*s(3678)+1*s(3679)+2*s(3680)+2*s(3684)+22*s(3688)+21*s(3689)+3*s(3690)+14*s(3691)+7*s(3692)+8*s(3693)+18*s(3694)+4*s(3695)+3*s(3697)+78*s(3698)+9*s(3699)+3*s(3700)+10*s(3701)+10*s(3703)+1 Such that:s(3633) =< V1 s(3634) =< 2*V1 s(3635) =< 2*V1+1 s(3636) =< V1/2 s(3637) =< V1/3 s(3638) =< V1/4 s(3639) =< 2/3*V1 s(3640) =< 2/3*V1+1/3 s(3641) =< 2/5*V1+1/5 s(3642) =< 3/10*V1 s(3643) =< 3/13*V1 s(3644) =< 3/16*V1 s(3645) =< 4/5*V1 s(3646) =< 4/7*V1 s(3647) =< 4/9*V1 aux(299) =< 2 s(3703) =< aux(299) s(3648) =< s(3633) s(3649) =< s(3633) s(3650) =< s(3633) s(3651) =< s(3633) s(3652) =< s(3633) s(3653) =< s(3633) s(3654) =< s(3633) s(3655) =< s(3633) s(3656) =< s(3633) s(3657) =< s(3633) s(3658) =< s(3633) s(3659) =< s(3633) s(3641) =< s(3633) s(3640) =< s(3633) s(3641) =< s(3635) s(3640) =< s(3635) s(3660) =< s(3636) s(3661) =< s(3636) s(3662) =< s(3636) s(3650) =< s(3637) s(3661) =< s(3638) s(3663) =< s(3639) s(3651) =< s(3639) s(3652) =< s(3639) s(3654) =< s(3639) s(3655) =< s(3639) s(3657) =< s(3639) s(3658) =< s(3639) s(3641) =< s(3639) s(3662) =< s(3642) s(3664) =< s(3643) s(3665) =< s(3644) s(3656) =< s(3645) s(3657) =< s(3645) s(3658) =< s(3645) s(3641) =< s(3645) s(3655) =< s(3646) s(3657) =< s(3646) s(3652) =< s(3647) s(3666) =< s(3634)+3 s(3667) =< s(3634)+4 s(3668) =< s(3634)+5 s(3669) =< s(3634)+1 s(3670) =< s(3634)+2 s(3671) =< s(3634)-2 s(3663) =< s(3635)*(1/3)+s(3639) s(3651) =< s(3635)*(1/3)+s(3639) s(3652) =< s(3635)*(1/3)+s(3639) s(3653) =< s(3635)*(1/3)+s(3639) s(3654) =< s(3635)*(1/3)+s(3639) s(3655) =< s(3635)*(1/3)+s(3639) s(3656) =< s(3635)*(1/3)+s(3639) s(3657) =< s(3635)*(1/3)+s(3639) s(3659) =< s(3635)*(1/3)+s(3639) s(3641) =< s(3635)*(1/3)+s(3639) s(3658) =< s(3635)*(1/3)+s(3639) s(3655) =< s(3635)*(3/7)+s(3646) s(3656) =< s(3635)*(3/7)+s(3646) s(3657) =< s(3635)*(3/7)+s(3646) s(3658) =< s(3635)*(3/7)+s(3646) s(3659) =< s(3635)*(3/7)+s(3646) s(3656) =< s(3635)*(1/5)+s(3645) s(3657) =< s(3635)*(1/5)+s(3645) s(3658) =< s(3635)*(1/5)+s(3645) s(3659) =< s(3635)*(1/5)+s(3645) s(3641) =< s(3635)*(1/5)+s(3645) s(3652) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3653) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3654) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3655) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3656) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3657) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3658) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3659) =< s(3635)*(5/9)+s(3640)*(1/9)+s(3647) s(3650) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3651) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3652) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3653) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3654) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3655) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3656) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3657) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3658) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3659) =< s(3635)*(2/3)+s(3640)*(1/3)+s(3637) s(3662) =< s(3635)*(7/20)+s(3640)*(1/20)+s(3642) s(3648) =< s(3635)*(7/20)+s(3640)*(1/20)+s(3642) s(3661) =< s(3635)*(3/8)+s(3640)*(1/8)+s(3638) s(3662) =< s(3635)*(3/8)+s(3640)*(1/8)+s(3638) s(3648) =< s(3635)*(3/8)+s(3640)*(1/8)+s(3638) s(3660) =< s(3635)*(1/4)+s(3636) s(3661) =< s(3635)*(1/4)+s(3636) s(3662) =< s(3635)*(1/4)+s(3636) s(3648) =< s(3635)*(1/4)+s(3636) s(3664) =< s(3635)*(5/13)+s(3640)*(2/13)+s(3643) s(3660) =< s(3635)*(5/13)+s(3640)*(2/13)+s(3643) s(3661) =< s(3635)*(5/13)+s(3640)*(2/13)+s(3643) s(3662) =< s(3635)*(5/13)+s(3640)*(2/13)+s(3643) s(3648) =< s(3635)*(5/13)+s(3640)*(2/13)+s(3643) s(3672) =< s(3659)*s(3666) s(3673) =< s(3659)*s(3667) s(3674) =< s(3659)*s(3668) s(3675) =< s(3658)*s(3667) s(3676) =< s(3655)*s(3669) s(3677) =< s(3655)*s(3667) s(3678) =< s(3654)*s(3670) s(3679) =< s(3652)*s(3669) s(3680) =< s(3651)*s(3670) s(3681) =< s(3650)*s(3670) s(3665) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3664) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3660) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3661) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3662) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3648) =< s(3635)*(13/32)+s(3641)*(1/32)+s(3640)*(7/32)+s(3644) s(3682) =< s(3648)*s(3666) s(3683) =< s(3648)*s(3668) s(3684) =< s(3662)*s(3671) s(3685) =< s(3661)*s(3669) s(3686) =< s(3664)*s(3671) s(3687) =< s(3665)*s(3634) s(3688) =< s(3672) s(3689) =< s(3674) s(3673) =< s(3674) s(3690) =< s(3663) s(3691) =< s(3675) s(3692) =< s(3677) s(3693) =< s(3681) s(3694) =< s(3683) s(3695) =< s(3682) s(3695) =< s(3683) s(3696) =< s(3683) s(3696) =< s(3682) s(3697) =< s(3696) s(3698) =< s(3682) s(3699) =< s(3685) s(3700) =< s(3686) s(3701) =< s(3687) with precondition: [V=2,Out=0,V1>=0] * Chain [91]: 8*s(3721)+20*s(3722)+3*s(3723)+1*s(3724)+3*s(3725)+2*s(3726)+1*s(3727)+3*s(3728)+1*s(3729)+3*s(3730)+6*s(3731)+6*s(3732)+1*s(3733)+5*s(3734)+5*s(3735)+5*s(3737)+5*s(3738)+4*s(3746)+1*s(3749)+1*s(3751)+1*s(3752)+2*s(3753)+2*s(3757)+22*s(3761)+21*s(3762)+3*s(3763)+14*s(3764)+7*s(3765)+8*s(3766)+18*s(3767)+4*s(3768)+3*s(3770)+78*s(3771)+9*s(3772)+3*s(3773)+10*s(3774)+2*s(3775)+1 Such that:s(3775) =< 2 s(3706) =< V1 s(3707) =< 2*V1 s(3708) =< 2*V1+1 s(3709) =< V1/2 s(3710) =< V1/3 s(3711) =< V1/4 s(3712) =< 2/3*V1 s(3713) =< 2/3*V1+1/3 s(3714) =< 2/5*V1+1/5 s(3715) =< 3/10*V1 s(3716) =< 3/13*V1 s(3717) =< 3/16*V1 s(3718) =< 4/5*V1 s(3719) =< 4/7*V1 s(3720) =< 4/9*V1 s(3721) =< s(3706) s(3722) =< s(3706) s(3723) =< s(3706) s(3724) =< s(3706) s(3725) =< s(3706) s(3726) =< s(3706) s(3727) =< s(3706) s(3728) =< s(3706) s(3729) =< s(3706) s(3730) =< s(3706) s(3731) =< s(3706) s(3732) =< s(3706) s(3714) =< s(3706) s(3713) =< s(3706) s(3714) =< s(3708) s(3713) =< s(3708) s(3733) =< s(3709) s(3734) =< s(3709) s(3735) =< s(3709) s(3723) =< s(3710) s(3734) =< s(3711) s(3736) =< s(3712) s(3724) =< s(3712) s(3725) =< s(3712) s(3727) =< s(3712) s(3728) =< s(3712) s(3730) =< s(3712) s(3731) =< s(3712) s(3714) =< s(3712) s(3735) =< s(3715) s(3737) =< s(3716) s(3738) =< s(3717) s(3729) =< s(3718) s(3730) =< s(3718) s(3731) =< s(3718) s(3714) =< s(3718) s(3728) =< s(3719) s(3730) =< s(3719) s(3725) =< s(3720) s(3739) =< s(3707)+3 s(3740) =< s(3707)+4 s(3741) =< s(3707)+5 s(3742) =< s(3707)+1 s(3743) =< s(3707)+2 s(3744) =< s(3707)-2 s(3736) =< s(3708)*(1/3)+s(3712) s(3724) =< s(3708)*(1/3)+s(3712) s(3725) =< s(3708)*(1/3)+s(3712) s(3726) =< s(3708)*(1/3)+s(3712) s(3727) =< s(3708)*(1/3)+s(3712) s(3728) =< s(3708)*(1/3)+s(3712) s(3729) =< s(3708)*(1/3)+s(3712) s(3730) =< s(3708)*(1/3)+s(3712) s(3732) =< s(3708)*(1/3)+s(3712) s(3714) =< s(3708)*(1/3)+s(3712) s(3731) =< s(3708)*(1/3)+s(3712) s(3728) =< s(3708)*(3/7)+s(3719) s(3729) =< s(3708)*(3/7)+s(3719) s(3730) =< s(3708)*(3/7)+s(3719) s(3731) =< s(3708)*(3/7)+s(3719) s(3732) =< s(3708)*(3/7)+s(3719) s(3729) =< s(3708)*(1/5)+s(3718) s(3730) =< s(3708)*(1/5)+s(3718) s(3731) =< s(3708)*(1/5)+s(3718) s(3732) =< s(3708)*(1/5)+s(3718) s(3714) =< s(3708)*(1/5)+s(3718) s(3725) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3726) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3727) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3728) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3729) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3730) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3731) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3732) =< s(3708)*(5/9)+s(3713)*(1/9)+s(3720) s(3723) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3724) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3725) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3726) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3727) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3728) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3729) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3730) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3731) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3732) =< s(3708)*(2/3)+s(3713)*(1/3)+s(3710) s(3735) =< s(3708)*(7/20)+s(3713)*(1/20)+s(3715) s(3721) =< s(3708)*(7/20)+s(3713)*(1/20)+s(3715) s(3734) =< s(3708)*(3/8)+s(3713)*(1/8)+s(3711) s(3735) =< s(3708)*(3/8)+s(3713)*(1/8)+s(3711) s(3721) =< s(3708)*(3/8)+s(3713)*(1/8)+s(3711) s(3733) =< s(3708)*(1/4)+s(3709) s(3734) =< s(3708)*(1/4)+s(3709) s(3735) =< s(3708)*(1/4)+s(3709) s(3721) =< s(3708)*(1/4)+s(3709) s(3737) =< s(3708)*(5/13)+s(3713)*(2/13)+s(3716) s(3733) =< s(3708)*(5/13)+s(3713)*(2/13)+s(3716) s(3734) =< s(3708)*(5/13)+s(3713)*(2/13)+s(3716) s(3735) =< s(3708)*(5/13)+s(3713)*(2/13)+s(3716) s(3721) =< s(3708)*(5/13)+s(3713)*(2/13)+s(3716) s(3745) =< s(3732)*s(3739) s(3746) =< s(3732)*s(3740) s(3747) =< s(3732)*s(3741) s(3748) =< s(3731)*s(3740) s(3749) =< s(3728)*s(3742) s(3750) =< s(3728)*s(3740) s(3751) =< s(3727)*s(3743) s(3752) =< s(3725)*s(3742) s(3753) =< s(3724)*s(3743) s(3754) =< s(3723)*s(3743) s(3738) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3737) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3733) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3734) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3735) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3721) =< s(3708)*(13/32)+s(3714)*(1/32)+s(3713)*(7/32)+s(3717) s(3755) =< s(3721)*s(3739) s(3756) =< s(3721)*s(3741) s(3757) =< s(3735)*s(3744) s(3758) =< s(3734)*s(3742) s(3759) =< s(3737)*s(3744) s(3760) =< s(3738)*s(3707) s(3761) =< s(3745) s(3762) =< s(3747) s(3746) =< s(3747) s(3763) =< s(3736) s(3764) =< s(3748) s(3765) =< s(3750) s(3766) =< s(3754) s(3767) =< s(3756) s(3768) =< s(3755) s(3768) =< s(3756) s(3769) =< s(3756) s(3769) =< s(3755) s(3770) =< s(3769) s(3771) =< s(3755) s(3772) =< s(3758) s(3773) =< s(3759) s(3774) =< s(3760) with precondition: [V=2,Out>=0,2*V1>=Out+2] #### Cost of chains of fun8(V1,V,Out): * Chain [100]: 40*s(4220)+100*s(4221)+15*s(4222)+5*s(4223)+15*s(4224)+10*s(4225)+5*s(4226)+15*s(4227)+5*s(4228)+15*s(4229)+30*s(4230)+30*s(4231)+5*s(4232)+25*s(4233)+25*s(4234)+25*s(4236)+25*s(4237)+20*s(4245)+5*s(4248)+5*s(4250)+5*s(4251)+10*s(4252)+10*s(4256)+110*s(4260)+105*s(4261)+15*s(4262)+70*s(4263)+35*s(4264)+40*s(4265)+90*s(4266)+20*s(4267)+15*s(4269)+390*s(4270)+45*s(4271)+15*s(4272)+50*s(4273)+56*s(4289)+140*s(4290)+21*s(4291)+7*s(4292)+21*s(4293)+14*s(4294)+7*s(4295)+21*s(4296)+7*s(4297)+21*s(4298)+42*s(4299)+42*s(4300)+7*s(4301)+35*s(4302)+35*s(4303)+35*s(4305)+35*s(4306)+28*s(4314)+7*s(4317)+7*s(4319)+7*s(4320)+14*s(4321)+14*s(4325)+154*s(4329)+147*s(4330)+21*s(4331)+98*s(4332)+49*s(4333)+56*s(4334)+126*s(4335)+28*s(4336)+21*s(4338)+546*s(4339)+63*s(4340)+21*s(4341)+70*s(4342)+8*s(4344)+48*s(4347)+56*s(4348)+6*s(4630)+8*s(4849)+86*s(4853)+4*s(5000)+6 Such that:aux(344) =< 1 aux(345) =< 2 aux(346) =< 3 aux(347) =< V1 aux(348) =< 2*V1 aux(349) =< 2*V1+1 aux(350) =< V1/2 aux(351) =< V1/3 aux(352) =< V1/4 aux(353) =< 2/3*V1 aux(354) =< 2/3*V1+1/3 aux(355) =< 2/5*V1+1/5 aux(356) =< 3/10*V1 aux(357) =< 3/13*V1 aux(358) =< 3/16*V1 aux(359) =< 4/5*V1 aux(360) =< 4/7*V1 aux(361) =< 4/9*V1 aux(362) =< V aux(363) =< 2*V aux(364) =< 2*V+1 aux(365) =< V/2 aux(366) =< V/3 aux(367) =< V/4 aux(368) =< 2/3*V aux(369) =< 2/3*V+1/3 aux(370) =< 2/5*V+1/5 aux(371) =< 3/10*V aux(372) =< 3/13*V aux(373) =< 3/16*V aux(374) =< 4/5*V aux(375) =< 4/7*V aux(376) =< 4/9*V s(5000) =< aux(344) s(4849) =< aux(346) s(4212) =< aux(354) s(4213) =< aux(355) s(4281) =< aux(369) s(4282) =< aux(370) s(4630) =< aux(344) s(4348) =< aux(348) s(4289) =< aux(362) s(4290) =< aux(362) s(4291) =< aux(362) s(4292) =< aux(362) s(4293) =< aux(362) s(4294) =< aux(362) s(4295) =< aux(362) s(4296) =< aux(362) s(4297) =< aux(362) s(4298) =< aux(362) s(4299) =< aux(362) s(4300) =< aux(362) s(4282) =< aux(362) s(4281) =< aux(362) s(4282) =< aux(364) s(4281) =< aux(364) s(4301) =< aux(365) s(4302) =< aux(365) s(4303) =< aux(365) s(4291) =< aux(366) s(4302) =< aux(367) s(4304) =< aux(368) s(4292) =< aux(368) s(4293) =< aux(368) s(4295) =< aux(368) s(4296) =< aux(368) s(4298) =< aux(368) s(4299) =< aux(368) s(4282) =< aux(368) s(4303) =< aux(371) s(4305) =< aux(372) s(4306) =< aux(373) s(4297) =< aux(374) s(4298) =< aux(374) s(4299) =< aux(374) s(4282) =< aux(374) s(4296) =< aux(375) s(4298) =< aux(375) s(4293) =< aux(376) s(4307) =< aux(363)+3 s(4308) =< aux(363)+4 s(4309) =< aux(363)+5 s(4310) =< aux(363)+1 s(4311) =< aux(363)+2 s(4312) =< aux(363)-2 s(4304) =< aux(364)*(1/3)+aux(368) s(4292) =< aux(364)*(1/3)+aux(368) s(4293) =< aux(364)*(1/3)+aux(368) s(4294) =< aux(364)*(1/3)+aux(368) s(4295) =< aux(364)*(1/3)+aux(368) s(4296) =< aux(364)*(1/3)+aux(368) s(4297) =< aux(364)*(1/3)+aux(368) s(4298) =< aux(364)*(1/3)+aux(368) s(4300) =< aux(364)*(1/3)+aux(368) s(4282) =< aux(364)*(1/3)+aux(368) s(4299) =< aux(364)*(1/3)+aux(368) s(4296) =< aux(364)*(3/7)+aux(375) s(4297) =< aux(364)*(3/7)+aux(375) s(4298) =< aux(364)*(3/7)+aux(375) s(4299) =< aux(364)*(3/7)+aux(375) s(4300) =< aux(364)*(3/7)+aux(375) s(4297) =< aux(364)*(1/5)+aux(374) s(4298) =< aux(364)*(1/5)+aux(374) s(4299) =< aux(364)*(1/5)+aux(374) s(4300) =< aux(364)*(1/5)+aux(374) s(4282) =< aux(364)*(1/5)+aux(374) s(4293) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4294) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4295) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4296) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4297) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4298) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4299) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4300) =< aux(364)*(5/9)+s(4281)*(1/9)+aux(376) s(4291) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4292) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4293) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4294) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4295) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4296) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4297) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4298) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4299) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4300) =< aux(364)*(2/3)+s(4281)*(1/3)+aux(366) s(4303) =< aux(364)*(7/20)+s(4281)*(1/20)+aux(371) s(4289) =< aux(364)*(7/20)+s(4281)*(1/20)+aux(371) s(4302) =< aux(364)*(3/8)+s(4281)*(1/8)+aux(367) s(4303) =< aux(364)*(3/8)+s(4281)*(1/8)+aux(367) s(4289) =< aux(364)*(3/8)+s(4281)*(1/8)+aux(367) s(4301) =< aux(364)*(1/4)+aux(365) s(4302) =< aux(364)*(1/4)+aux(365) s(4303) =< aux(364)*(1/4)+aux(365) s(4289) =< aux(364)*(1/4)+aux(365) s(4305) =< aux(364)*(5/13)+s(4281)*(2/13)+aux(372) s(4301) =< aux(364)*(5/13)+s(4281)*(2/13)+aux(372) s(4302) =< aux(364)*(5/13)+s(4281)*(2/13)+aux(372) s(4303) =< aux(364)*(5/13)+s(4281)*(2/13)+aux(372) s(4289) =< aux(364)*(5/13)+s(4281)*(2/13)+aux(372) s(4313) =< s(4300)*s(4307) s(4314) =< s(4300)*s(4308) s(4315) =< s(4300)*s(4309) s(4316) =< s(4299)*s(4308) s(4317) =< s(4296)*s(4310) s(4318) =< s(4296)*s(4308) s(4319) =< s(4295)*s(4311) s(4320) =< s(4293)*s(4310) s(4321) =< s(4292)*s(4311) s(4322) =< s(4291)*s(4311) s(4306) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4305) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4301) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4302) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4303) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4289) =< aux(364)*(13/32)+s(4282)*(1/32)+s(4281)*(7/32)+aux(373) s(4323) =< s(4289)*s(4307) s(4324) =< s(4289)*s(4309) s(4325) =< s(4303)*s(4312) s(4326) =< s(4302)*s(4310) s(4327) =< s(4305)*s(4312) s(4328) =< s(4306)*aux(363) s(4329) =< s(4313) s(4330) =< s(4315) s(4314) =< s(4315) s(4331) =< s(4304) s(4332) =< s(4316) s(4333) =< s(4318) s(4334) =< s(4322) s(4335) =< s(4324) s(4336) =< s(4323) s(4336) =< s(4324) s(4337) =< s(4324) s(4337) =< s(4323) s(4338) =< s(4337) s(4339) =< s(4323) s(4340) =< s(4326) s(4341) =< s(4327) s(4342) =< s(4328) s(4220) =< aux(347) s(4221) =< aux(347) s(4222) =< aux(347) s(4223) =< aux(347) s(4224) =< aux(347) s(4225) =< aux(347) s(4226) =< aux(347) s(4227) =< aux(347) s(4228) =< aux(347) s(4229) =< aux(347) s(4230) =< aux(347) s(4231) =< aux(347) s(4213) =< aux(347) s(4212) =< aux(347) s(4213) =< aux(349) s(4212) =< aux(349) s(4232) =< aux(350) s(4233) =< aux(350) s(4234) =< aux(350) s(4222) =< aux(351) s(4233) =< aux(352) s(4235) =< aux(353) s(4223) =< aux(353) s(4224) =< aux(353) s(4226) =< aux(353) s(4227) =< aux(353) s(4229) =< aux(353) s(4230) =< aux(353) s(4213) =< aux(353) s(4234) =< aux(356) s(4236) =< aux(357) s(4237) =< aux(358) s(4228) =< aux(359) s(4229) =< aux(359) s(4230) =< aux(359) s(4213) =< aux(359) s(4227) =< aux(360) s(4229) =< aux(360) s(4224) =< aux(361) s(4238) =< aux(348)+3 s(4239) =< aux(348)+4 s(4240) =< aux(348)+5 s(4241) =< aux(348)+1 s(4242) =< aux(348)+2 s(4243) =< aux(348)-2 s(4235) =< aux(349)*(1/3)+aux(353) s(4223) =< aux(349)*(1/3)+aux(353) s(4224) =< aux(349)*(1/3)+aux(353) s(4225) =< aux(349)*(1/3)+aux(353) s(4226) =< aux(349)*(1/3)+aux(353) s(4227) =< aux(349)*(1/3)+aux(353) s(4228) =< aux(349)*(1/3)+aux(353) s(4229) =< aux(349)*(1/3)+aux(353) s(4231) =< aux(349)*(1/3)+aux(353) s(4213) =< aux(349)*(1/3)+aux(353) s(4230) =< aux(349)*(1/3)+aux(353) s(4227) =< aux(349)*(3/7)+aux(360) s(4228) =< aux(349)*(3/7)+aux(360) s(4229) =< aux(349)*(3/7)+aux(360) s(4230) =< aux(349)*(3/7)+aux(360) s(4231) =< aux(349)*(3/7)+aux(360) s(4228) =< aux(349)*(1/5)+aux(359) s(4229) =< aux(349)*(1/5)+aux(359) s(4230) =< aux(349)*(1/5)+aux(359) s(4231) =< aux(349)*(1/5)+aux(359) s(4213) =< aux(349)*(1/5)+aux(359) s(4224) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4225) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4226) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4227) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4228) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4229) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4230) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4231) =< aux(349)*(5/9)+s(4212)*(1/9)+aux(361) s(4222) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4223) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4224) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4225) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4226) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4227) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4228) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4229) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4230) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4231) =< aux(349)*(2/3)+s(4212)*(1/3)+aux(351) s(4234) =< aux(349)*(7/20)+s(4212)*(1/20)+aux(356) s(4220) =< aux(349)*(7/20)+s(4212)*(1/20)+aux(356) s(4233) =< aux(349)*(3/8)+s(4212)*(1/8)+aux(352) s(4234) =< aux(349)*(3/8)+s(4212)*(1/8)+aux(352) s(4220) =< aux(349)*(3/8)+s(4212)*(1/8)+aux(352) s(4232) =< aux(349)*(1/4)+aux(350) s(4233) =< aux(349)*(1/4)+aux(350) s(4234) =< aux(349)*(1/4)+aux(350) s(4220) =< aux(349)*(1/4)+aux(350) s(4236) =< aux(349)*(5/13)+s(4212)*(2/13)+aux(357) s(4232) =< aux(349)*(5/13)+s(4212)*(2/13)+aux(357) s(4233) =< aux(349)*(5/13)+s(4212)*(2/13)+aux(357) s(4234) =< aux(349)*(5/13)+s(4212)*(2/13)+aux(357) s(4220) =< aux(349)*(5/13)+s(4212)*(2/13)+aux(357) s(4244) =< s(4231)*s(4238) s(4245) =< s(4231)*s(4239) s(4246) =< s(4231)*s(4240) s(4247) =< s(4230)*s(4239) s(4248) =< s(4227)*s(4241) s(4249) =< s(4227)*s(4239) s(4250) =< s(4226)*s(4242) s(4251) =< s(4224)*s(4241) s(4252) =< s(4223)*s(4242) s(4253) =< s(4222)*s(4242) s(4237) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4236) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4232) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4233) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4234) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4220) =< aux(349)*(13/32)+s(4213)*(1/32)+s(4212)*(7/32)+aux(358) s(4254) =< s(4220)*s(4238) s(4255) =< s(4220)*s(4240) s(4256) =< s(4234)*s(4243) s(4257) =< s(4233)*s(4241) s(4258) =< s(4236)*s(4243) s(4259) =< s(4237)*aux(348) s(4260) =< s(4244) s(4261) =< s(4246) s(4245) =< s(4246) s(4262) =< s(4235) s(4263) =< s(4247) s(4264) =< s(4249) s(4265) =< s(4253) s(4266) =< s(4255) s(4267) =< s(4254) s(4267) =< s(4255) s(4268) =< s(4255) s(4268) =< s(4254) s(4269) =< s(4268) s(4270) =< s(4254) s(4271) =< s(4257) s(4272) =< s(4258) s(4273) =< s(4259) s(4853) =< aux(345) s(5000) =< aux(345) s(4347) =< aux(363) s(4849) =< aux(345) s(4344) =< aux(349) s(4344) =< aux(348) with precondition: [Out=0,V1>=0,V>=0] * Chain [99]: 8*s(5119)+20*s(5120)+3*s(5121)+1*s(5122)+3*s(5123)+2*s(5124)+1*s(5125)+3*s(5126)+1*s(5127)+3*s(5128)+6*s(5129)+6*s(5130)+1*s(5131)+5*s(5132)+5*s(5133)+5*s(5135)+5*s(5136)+4*s(5144)+1*s(5147)+1*s(5149)+1*s(5150)+2*s(5151)+2*s(5155)+22*s(5159)+21*s(5160)+3*s(5161)+14*s(5162)+7*s(5163)+8*s(5164)+18*s(5165)+4*s(5166)+3*s(5168)+78*s(5169)+9*s(5170)+3*s(5171)+10*s(5172)+16*s(5188)+40*s(5189)+6*s(5190)+2*s(5191)+6*s(5192)+4*s(5193)+2*s(5194)+6*s(5195)+2*s(5196)+6*s(5197)+12*s(5198)+12*s(5199)+2*s(5200)+10*s(5201)+10*s(5202)+10*s(5204)+10*s(5205)+8*s(5213)+2*s(5216)+2*s(5218)+2*s(5219)+4*s(5220)+4*s(5224)+44*s(5228)+42*s(5229)+6*s(5230)+28*s(5231)+14*s(5232)+16*s(5233)+36*s(5234)+8*s(5235)+6*s(5237)+156*s(5238)+18*s(5239)+6*s(5240)+20*s(5241)+1*s(5242)+1*s(5312)+3 Such that:s(5312) =< 2 s(5104) =< V1 s(5105) =< 2*V1 s(5106) =< 2*V1+1 s(5107) =< V1/2 s(5108) =< V1/3 s(5109) =< V1/4 s(5110) =< 2/3*V1 s(5111) =< 2/3*V1+1/3 s(5112) =< 2/5*V1+1/5 s(5113) =< 3/10*V1 s(5114) =< 3/13*V1 s(5115) =< 3/16*V1 s(5116) =< 4/5*V1 s(5117) =< 4/7*V1 s(5118) =< 4/9*V1 aux(378) =< V aux(379) =< 2*V aux(380) =< 2*V+1 aux(381) =< V/2 aux(382) =< V/3 aux(383) =< V/4 aux(384) =< 2/3*V aux(385) =< 2/3*V+1/3 aux(386) =< 2/5*V+1/5 aux(387) =< 3/10*V aux(388) =< 3/13*V aux(389) =< 3/16*V aux(390) =< 4/5*V aux(391) =< 4/7*V aux(392) =< 4/9*V s(5180) =< aux(385) s(5181) =< aux(386) s(5188) =< aux(378) s(5189) =< aux(378) s(5190) =< aux(378) s(5191) =< aux(378) s(5192) =< aux(378) s(5193) =< aux(378) s(5194) =< aux(378) s(5195) =< aux(378) s(5196) =< aux(378) s(5197) =< aux(378) s(5198) =< aux(378) s(5199) =< aux(378) s(5181) =< aux(378) s(5180) =< aux(378) s(5181) =< aux(380) s(5180) =< aux(380) s(5200) =< aux(381) s(5201) =< aux(381) s(5202) =< aux(381) s(5190) =< aux(382) s(5201) =< aux(383) s(5203) =< aux(384) s(5191) =< aux(384) s(5192) =< aux(384) s(5194) =< aux(384) s(5195) =< aux(384) s(5197) =< aux(384) s(5198) =< aux(384) s(5181) =< aux(384) s(5202) =< aux(387) s(5204) =< aux(388) s(5205) =< aux(389) s(5196) =< aux(390) s(5197) =< aux(390) s(5198) =< aux(390) s(5181) =< aux(390) s(5195) =< aux(391) s(5197) =< aux(391) s(5192) =< aux(392) s(5206) =< aux(379)+3 s(5207) =< aux(379)+4 s(5208) =< aux(379)+5 s(5209) =< aux(379)+1 s(5210) =< aux(379)+2 s(5211) =< aux(379)-2 s(5203) =< aux(380)*(1/3)+aux(384) s(5191) =< aux(380)*(1/3)+aux(384) s(5192) =< aux(380)*(1/3)+aux(384) s(5193) =< aux(380)*(1/3)+aux(384) s(5194) =< aux(380)*(1/3)+aux(384) s(5195) =< aux(380)*(1/3)+aux(384) s(5196) =< aux(380)*(1/3)+aux(384) s(5197) =< aux(380)*(1/3)+aux(384) s(5199) =< aux(380)*(1/3)+aux(384) s(5181) =< aux(380)*(1/3)+aux(384) s(5198) =< aux(380)*(1/3)+aux(384) s(5195) =< aux(380)*(3/7)+aux(391) s(5196) =< aux(380)*(3/7)+aux(391) s(5197) =< aux(380)*(3/7)+aux(391) s(5198) =< aux(380)*(3/7)+aux(391) s(5199) =< aux(380)*(3/7)+aux(391) s(5196) =< aux(380)*(1/5)+aux(390) s(5197) =< aux(380)*(1/5)+aux(390) s(5198) =< aux(380)*(1/5)+aux(390) s(5199) =< aux(380)*(1/5)+aux(390) s(5181) =< aux(380)*(1/5)+aux(390) s(5192) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5193) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5194) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5195) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5196) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5197) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5198) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5199) =< aux(380)*(5/9)+s(5180)*(1/9)+aux(392) s(5190) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5191) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5192) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5193) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5194) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5195) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5196) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5197) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5198) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5199) =< aux(380)*(2/3)+s(5180)*(1/3)+aux(382) s(5202) =< aux(380)*(7/20)+s(5180)*(1/20)+aux(387) s(5188) =< aux(380)*(7/20)+s(5180)*(1/20)+aux(387) s(5201) =< aux(380)*(3/8)+s(5180)*(1/8)+aux(383) s(5202) =< aux(380)*(3/8)+s(5180)*(1/8)+aux(383) s(5188) =< aux(380)*(3/8)+s(5180)*(1/8)+aux(383) s(5200) =< aux(380)*(1/4)+aux(381) s(5201) =< aux(380)*(1/4)+aux(381) s(5202) =< aux(380)*(1/4)+aux(381) s(5188) =< aux(380)*(1/4)+aux(381) s(5204) =< aux(380)*(5/13)+s(5180)*(2/13)+aux(388) s(5200) =< aux(380)*(5/13)+s(5180)*(2/13)+aux(388) s(5201) =< aux(380)*(5/13)+s(5180)*(2/13)+aux(388) s(5202) =< aux(380)*(5/13)+s(5180)*(2/13)+aux(388) s(5188) =< aux(380)*(5/13)+s(5180)*(2/13)+aux(388) s(5212) =< s(5199)*s(5206) s(5213) =< s(5199)*s(5207) s(5214) =< s(5199)*s(5208) s(5215) =< s(5198)*s(5207) s(5216) =< s(5195)*s(5209) s(5217) =< s(5195)*s(5207) s(5218) =< s(5194)*s(5210) s(5219) =< s(5192)*s(5209) s(5220) =< s(5191)*s(5210) s(5221) =< s(5190)*s(5210) s(5205) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5204) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5200) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5201) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5202) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5188) =< aux(380)*(13/32)+s(5181)*(1/32)+s(5180)*(7/32)+aux(389) s(5222) =< s(5188)*s(5206) s(5223) =< s(5188)*s(5208) s(5224) =< s(5202)*s(5211) s(5225) =< s(5201)*s(5209) s(5226) =< s(5204)*s(5211) s(5227) =< s(5205)*aux(379) s(5228) =< s(5212) s(5229) =< s(5214) s(5213) =< s(5214) s(5230) =< s(5203) s(5231) =< s(5215) s(5232) =< s(5217) s(5233) =< s(5221) s(5234) =< s(5223) s(5235) =< s(5222) s(5235) =< s(5223) s(5236) =< s(5223) s(5236) =< s(5222) s(5237) =< s(5236) s(5238) =< s(5222) s(5239) =< s(5225) s(5240) =< s(5226) s(5241) =< s(5227) s(5242) =< aux(379) s(5119) =< s(5104) s(5120) =< s(5104) s(5121) =< s(5104) s(5122) =< s(5104) s(5123) =< s(5104) s(5124) =< s(5104) s(5125) =< s(5104) s(5126) =< s(5104) s(5127) =< s(5104) s(5128) =< s(5104) s(5129) =< s(5104) s(5130) =< s(5104) s(5112) =< s(5104) s(5111) =< s(5104) s(5112) =< s(5106) s(5111) =< s(5106) s(5131) =< s(5107) s(5132) =< s(5107) s(5133) =< s(5107) s(5121) =< s(5108) s(5132) =< s(5109) s(5134) =< s(5110) s(5122) =< s(5110) s(5123) =< s(5110) s(5125) =< s(5110) s(5126) =< s(5110) s(5128) =< s(5110) s(5129) =< s(5110) s(5112) =< s(5110) s(5133) =< s(5113) s(5135) =< s(5114) s(5136) =< s(5115) s(5127) =< s(5116) s(5128) =< s(5116) s(5129) =< s(5116) s(5112) =< s(5116) s(5126) =< s(5117) s(5128) =< s(5117) s(5123) =< s(5118) s(5137) =< s(5105)+3 s(5138) =< s(5105)+4 s(5139) =< s(5105)+5 s(5140) =< s(5105)+1 s(5141) =< s(5105)+2 s(5142) =< s(5105)-2 s(5134) =< s(5106)*(1/3)+s(5110) s(5122) =< s(5106)*(1/3)+s(5110) s(5123) =< s(5106)*(1/3)+s(5110) s(5124) =< s(5106)*(1/3)+s(5110) s(5125) =< s(5106)*(1/3)+s(5110) s(5126) =< s(5106)*(1/3)+s(5110) s(5127) =< s(5106)*(1/3)+s(5110) s(5128) =< s(5106)*(1/3)+s(5110) s(5130) =< s(5106)*(1/3)+s(5110) s(5112) =< s(5106)*(1/3)+s(5110) s(5129) =< s(5106)*(1/3)+s(5110) s(5126) =< s(5106)*(3/7)+s(5117) s(5127) =< s(5106)*(3/7)+s(5117) s(5128) =< s(5106)*(3/7)+s(5117) s(5129) =< s(5106)*(3/7)+s(5117) s(5130) =< s(5106)*(3/7)+s(5117) s(5127) =< s(5106)*(1/5)+s(5116) s(5128) =< s(5106)*(1/5)+s(5116) s(5129) =< s(5106)*(1/5)+s(5116) s(5130) =< s(5106)*(1/5)+s(5116) s(5112) =< s(5106)*(1/5)+s(5116) s(5123) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5124) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5125) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5126) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5127) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5128) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5129) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5130) =< s(5106)*(5/9)+s(5111)*(1/9)+s(5118) s(5121) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5122) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5123) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5124) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5125) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5126) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5127) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5128) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5129) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5130) =< s(5106)*(2/3)+s(5111)*(1/3)+s(5108) s(5133) =< s(5106)*(7/20)+s(5111)*(1/20)+s(5113) s(5119) =< s(5106)*(7/20)+s(5111)*(1/20)+s(5113) s(5132) =< s(5106)*(3/8)+s(5111)*(1/8)+s(5109) s(5133) =< s(5106)*(3/8)+s(5111)*(1/8)+s(5109) s(5119) =< s(5106)*(3/8)+s(5111)*(1/8)+s(5109) s(5131) =< s(5106)*(1/4)+s(5107) s(5132) =< s(5106)*(1/4)+s(5107) s(5133) =< s(5106)*(1/4)+s(5107) s(5119) =< s(5106)*(1/4)+s(5107) s(5135) =< s(5106)*(5/13)+s(5111)*(2/13)+s(5114) s(5131) =< s(5106)*(5/13)+s(5111)*(2/13)+s(5114) s(5132) =< s(5106)*(5/13)+s(5111)*(2/13)+s(5114) s(5133) =< s(5106)*(5/13)+s(5111)*(2/13)+s(5114) s(5119) =< s(5106)*(5/13)+s(5111)*(2/13)+s(5114) s(5143) =< s(5130)*s(5137) s(5144) =< s(5130)*s(5138) s(5145) =< s(5130)*s(5139) s(5146) =< s(5129)*s(5138) s(5147) =< s(5126)*s(5140) s(5148) =< s(5126)*s(5138) s(5149) =< s(5125)*s(5141) s(5150) =< s(5123)*s(5140) s(5151) =< s(5122)*s(5141) s(5152) =< s(5121)*s(5141) s(5136) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5135) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5131) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5132) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5133) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5119) =< s(5106)*(13/32)+s(5112)*(1/32)+s(5111)*(7/32)+s(5115) s(5153) =< s(5119)*s(5137) s(5154) =< s(5119)*s(5139) s(5155) =< s(5133)*s(5142) s(5156) =< s(5132)*s(5140) s(5157) =< s(5135)*s(5142) s(5158) =< s(5136)*s(5105) s(5159) =< s(5143) s(5160) =< s(5145) s(5144) =< s(5145) s(5161) =< s(5134) s(5162) =< s(5146) s(5163) =< s(5148) s(5164) =< s(5152) s(5165) =< s(5154) s(5166) =< s(5153) s(5166) =< s(5154) s(5167) =< s(5154) s(5167) =< s(5153) s(5168) =< s(5167) s(5169) =< s(5153) s(5170) =< s(5156) s(5171) =< s(5157) s(5172) =< s(5158) with precondition: [Out>=2,2*V1>=Out,2*V>=Out+1] * Chain [98]: 8*s(5328)+20*s(5329)+3*s(5330)+1*s(5331)+3*s(5332)+2*s(5333)+1*s(5334)+3*s(5335)+1*s(5336)+3*s(5337)+6*s(5338)+6*s(5339)+1*s(5340)+5*s(5341)+5*s(5342)+5*s(5344)+5*s(5345)+4*s(5353)+1*s(5356)+1*s(5358)+1*s(5359)+2*s(5360)+2*s(5364)+22*s(5368)+21*s(5369)+3*s(5370)+14*s(5371)+7*s(5372)+8*s(5373)+18*s(5374)+4*s(5375)+3*s(5377)+78*s(5378)+9*s(5379)+3*s(5380)+10*s(5381)+25*s(5383)+32*s(5386)+6 Such that:s(5313) =< V1 aux(393) =< 2*V1 s(5315) =< 2*V1+1 s(5316) =< V1/2 s(5317) =< V1/3 s(5318) =< V1/4 s(5319) =< 2/3*V1 s(5320) =< 2/3*V1+1/3 s(5321) =< 2/5*V1+1/5 s(5322) =< 3/10*V1 s(5323) =< 3/13*V1 s(5324) =< 3/16*V1 s(5325) =< 4/5*V1 s(5326) =< 4/7*V1 s(5327) =< 4/9*V1 aux(395) =< 2 s(5383) =< aux(393) s(5386) =< aux(395) s(5328) =< s(5313) s(5329) =< s(5313) s(5330) =< s(5313) s(5331) =< s(5313) s(5332) =< s(5313) s(5333) =< s(5313) s(5334) =< s(5313) s(5335) =< s(5313) s(5336) =< s(5313) s(5337) =< s(5313) s(5338) =< s(5313) s(5339) =< s(5313) s(5321) =< s(5313) s(5320) =< s(5313) s(5321) =< s(5315) s(5320) =< s(5315) s(5340) =< s(5316) s(5341) =< s(5316) s(5342) =< s(5316) s(5330) =< s(5317) s(5341) =< s(5318) s(5343) =< s(5319) s(5331) =< s(5319) s(5332) =< s(5319) s(5334) =< s(5319) s(5335) =< s(5319) s(5337) =< s(5319) s(5338) =< s(5319) s(5321) =< s(5319) s(5342) =< s(5322) s(5344) =< s(5323) s(5345) =< s(5324) s(5336) =< s(5325) s(5337) =< s(5325) s(5338) =< s(5325) s(5321) =< s(5325) s(5335) =< s(5326) s(5337) =< s(5326) s(5332) =< s(5327) s(5346) =< aux(393)+3 s(5347) =< aux(393)+4 s(5348) =< aux(393)+5 s(5349) =< aux(393)+1 s(5350) =< aux(393)+2 s(5351) =< aux(393)-2 s(5343) =< s(5315)*(1/3)+s(5319) s(5331) =< s(5315)*(1/3)+s(5319) s(5332) =< s(5315)*(1/3)+s(5319) s(5333) =< s(5315)*(1/3)+s(5319) s(5334) =< s(5315)*(1/3)+s(5319) s(5335) =< s(5315)*(1/3)+s(5319) s(5336) =< s(5315)*(1/3)+s(5319) s(5337) =< s(5315)*(1/3)+s(5319) s(5339) =< s(5315)*(1/3)+s(5319) s(5321) =< s(5315)*(1/3)+s(5319) s(5338) =< s(5315)*(1/3)+s(5319) s(5335) =< s(5315)*(3/7)+s(5326) s(5336) =< s(5315)*(3/7)+s(5326) s(5337) =< s(5315)*(3/7)+s(5326) s(5338) =< s(5315)*(3/7)+s(5326) s(5339) =< s(5315)*(3/7)+s(5326) s(5336) =< s(5315)*(1/5)+s(5325) s(5337) =< s(5315)*(1/5)+s(5325) s(5338) =< s(5315)*(1/5)+s(5325) s(5339) =< s(5315)*(1/5)+s(5325) s(5321) =< s(5315)*(1/5)+s(5325) s(5332) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5333) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5334) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5335) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5336) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5337) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5338) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5339) =< s(5315)*(5/9)+s(5320)*(1/9)+s(5327) s(5330) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5331) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5332) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5333) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5334) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5335) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5336) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5337) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5338) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5339) =< s(5315)*(2/3)+s(5320)*(1/3)+s(5317) s(5342) =< s(5315)*(7/20)+s(5320)*(1/20)+s(5322) s(5328) =< s(5315)*(7/20)+s(5320)*(1/20)+s(5322) s(5341) =< s(5315)*(3/8)+s(5320)*(1/8)+s(5318) s(5342) =< s(5315)*(3/8)+s(5320)*(1/8)+s(5318) s(5328) =< s(5315)*(3/8)+s(5320)*(1/8)+s(5318) s(5340) =< s(5315)*(1/4)+s(5316) s(5341) =< s(5315)*(1/4)+s(5316) s(5342) =< s(5315)*(1/4)+s(5316) s(5328) =< s(5315)*(1/4)+s(5316) s(5344) =< s(5315)*(5/13)+s(5320)*(2/13)+s(5323) s(5340) =< s(5315)*(5/13)+s(5320)*(2/13)+s(5323) s(5341) =< s(5315)*(5/13)+s(5320)*(2/13)+s(5323) s(5342) =< s(5315)*(5/13)+s(5320)*(2/13)+s(5323) s(5328) =< s(5315)*(5/13)+s(5320)*(2/13)+s(5323) s(5352) =< s(5339)*s(5346) s(5353) =< s(5339)*s(5347) s(5354) =< s(5339)*s(5348) s(5355) =< s(5338)*s(5347) s(5356) =< s(5335)*s(5349) s(5357) =< s(5335)*s(5347) s(5358) =< s(5334)*s(5350) s(5359) =< s(5332)*s(5349) s(5360) =< s(5331)*s(5350) s(5361) =< s(5330)*s(5350) s(5345) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5344) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5340) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5341) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5342) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5328) =< s(5315)*(13/32)+s(5321)*(1/32)+s(5320)*(7/32)+s(5324) s(5362) =< s(5328)*s(5346) s(5363) =< s(5328)*s(5348) s(5364) =< s(5342)*s(5351) s(5365) =< s(5341)*s(5349) s(5366) =< s(5344)*s(5351) s(5367) =< s(5345)*aux(393) s(5368) =< s(5352) s(5369) =< s(5354) s(5353) =< s(5354) s(5370) =< s(5343) s(5371) =< s(5355) s(5372) =< s(5357) s(5373) =< s(5361) s(5374) =< s(5363) s(5375) =< s(5362) s(5375) =< s(5363) s(5376) =< s(5363) s(5376) =< s(5362) s(5377) =< s(5376) s(5378) =< s(5362) s(5379) =< s(5365) s(5380) =< s(5366) s(5381) =< s(5367) with precondition: [V=2,Out=0,V1>=0] * Chain [97]: 32*s(5415)+80*s(5416)+12*s(5417)+4*s(5418)+12*s(5419)+8*s(5420)+4*s(5421)+12*s(5422)+4*s(5423)+12*s(5424)+24*s(5425)+24*s(5426)+4*s(5427)+20*s(5428)+20*s(5429)+20*s(5431)+20*s(5432)+16*s(5440)+4*s(5443)+4*s(5445)+4*s(5446)+8*s(5447)+8*s(5451)+88*s(5455)+84*s(5456)+12*s(5457)+56*s(5458)+28*s(5459)+32*s(5460)+72*s(5461)+16*s(5462)+12*s(5464)+312*s(5465)+36*s(5466)+12*s(5467)+40*s(5468)+16*s(5484)+40*s(5485)+6*s(5486)+2*s(5487)+6*s(5488)+4*s(5489)+2*s(5490)+6*s(5491)+2*s(5492)+6*s(5493)+12*s(5494)+12*s(5495)+2*s(5496)+10*s(5497)+10*s(5498)+10*s(5500)+10*s(5501)+8*s(5509)+2*s(5512)+2*s(5514)+2*s(5515)+4*s(5516)+4*s(5520)+44*s(5524)+42*s(5525)+6*s(5526)+28*s(5527)+14*s(5528)+16*s(5529)+36*s(5530)+8*s(5531)+6*s(5533)+156*s(5534)+18*s(5535)+6*s(5536)+20*s(5537)+14*s(5676)+3 Such that:aux(398) =< V1 aux(399) =< 2*V1 aux(400) =< 2*V1+1 aux(401) =< V1/2 aux(402) =< V1/3 aux(403) =< V1/4 aux(404) =< 2/3*V1 aux(405) =< 2/3*V1+1/3 aux(406) =< 2/5*V1+1/5 aux(407) =< 3/10*V1 aux(408) =< 3/13*V1 aux(409) =< 3/16*V1 aux(410) =< 4/5*V1 aux(411) =< 4/7*V1 aux(412) =< 4/9*V1 aux(413) =< V aux(414) =< 2*V aux(415) =< 2*V+1 aux(416) =< V/2 aux(417) =< V/3 aux(418) =< V/4 aux(419) =< 2/3*V aux(420) =< 2/3*V+1/3 aux(421) =< 2/5*V+1/5 aux(422) =< 3/10*V aux(423) =< 3/13*V aux(424) =< 3/16*V aux(425) =< 4/5*V aux(426) =< 4/7*V aux(427) =< 4/9*V s(5407) =< aux(405) s(5408) =< aux(406) s(5476) =< aux(420) s(5477) =< aux(421) s(5484) =< aux(413) s(5485) =< aux(413) s(5486) =< aux(413) s(5487) =< aux(413) s(5488) =< aux(413) s(5489) =< aux(413) s(5490) =< aux(413) s(5491) =< aux(413) s(5492) =< aux(413) s(5493) =< aux(413) s(5494) =< aux(413) s(5495) =< aux(413) s(5477) =< aux(413) s(5476) =< aux(413) s(5477) =< aux(415) s(5476) =< aux(415) s(5496) =< aux(416) s(5497) =< aux(416) s(5498) =< aux(416) s(5486) =< aux(417) s(5497) =< aux(418) s(5499) =< aux(419) s(5487) =< aux(419) s(5488) =< aux(419) s(5490) =< aux(419) s(5491) =< aux(419) s(5493) =< aux(419) s(5494) =< aux(419) s(5477) =< aux(419) s(5498) =< aux(422) s(5500) =< aux(423) s(5501) =< aux(424) s(5492) =< aux(425) s(5493) =< aux(425) s(5494) =< aux(425) s(5477) =< aux(425) s(5491) =< aux(426) s(5493) =< aux(426) s(5488) =< aux(427) s(5502) =< aux(414)+3 s(5503) =< aux(414)+4 s(5504) =< aux(414)+5 s(5505) =< aux(414)+1 s(5506) =< aux(414)+2 s(5507) =< aux(414)-2 s(5499) =< aux(415)*(1/3)+aux(419) s(5487) =< aux(415)*(1/3)+aux(419) s(5488) =< aux(415)*(1/3)+aux(419) s(5489) =< aux(415)*(1/3)+aux(419) s(5490) =< aux(415)*(1/3)+aux(419) s(5491) =< aux(415)*(1/3)+aux(419) s(5492) =< aux(415)*(1/3)+aux(419) s(5493) =< aux(415)*(1/3)+aux(419) s(5495) =< aux(415)*(1/3)+aux(419) s(5477) =< aux(415)*(1/3)+aux(419) s(5494) =< aux(415)*(1/3)+aux(419) s(5491) =< aux(415)*(3/7)+aux(426) s(5492) =< aux(415)*(3/7)+aux(426) s(5493) =< aux(415)*(3/7)+aux(426) s(5494) =< aux(415)*(3/7)+aux(426) s(5495) =< aux(415)*(3/7)+aux(426) s(5492) =< aux(415)*(1/5)+aux(425) s(5493) =< aux(415)*(1/5)+aux(425) s(5494) =< aux(415)*(1/5)+aux(425) s(5495) =< aux(415)*(1/5)+aux(425) s(5477) =< aux(415)*(1/5)+aux(425) s(5488) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5489) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5490) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5491) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5492) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5493) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5494) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5495) =< aux(415)*(5/9)+s(5476)*(1/9)+aux(427) s(5486) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5487) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5488) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5489) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5490) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5491) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5492) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5493) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5494) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5495) =< aux(415)*(2/3)+s(5476)*(1/3)+aux(417) s(5498) =< aux(415)*(7/20)+s(5476)*(1/20)+aux(422) s(5484) =< aux(415)*(7/20)+s(5476)*(1/20)+aux(422) s(5497) =< aux(415)*(3/8)+s(5476)*(1/8)+aux(418) s(5498) =< aux(415)*(3/8)+s(5476)*(1/8)+aux(418) s(5484) =< aux(415)*(3/8)+s(5476)*(1/8)+aux(418) s(5496) =< aux(415)*(1/4)+aux(416) s(5497) =< aux(415)*(1/4)+aux(416) s(5498) =< aux(415)*(1/4)+aux(416) s(5484) =< aux(415)*(1/4)+aux(416) s(5500) =< aux(415)*(5/13)+s(5476)*(2/13)+aux(423) s(5496) =< aux(415)*(5/13)+s(5476)*(2/13)+aux(423) s(5497) =< aux(415)*(5/13)+s(5476)*(2/13)+aux(423) s(5498) =< aux(415)*(5/13)+s(5476)*(2/13)+aux(423) s(5484) =< aux(415)*(5/13)+s(5476)*(2/13)+aux(423) s(5508) =< s(5495)*s(5502) s(5509) =< s(5495)*s(5503) s(5510) =< s(5495)*s(5504) s(5511) =< s(5494)*s(5503) s(5512) =< s(5491)*s(5505) s(5513) =< s(5491)*s(5503) s(5514) =< s(5490)*s(5506) s(5515) =< s(5488)*s(5505) s(5516) =< s(5487)*s(5506) s(5517) =< s(5486)*s(5506) s(5501) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5500) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5496) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5497) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5498) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5484) =< aux(415)*(13/32)+s(5477)*(1/32)+s(5476)*(7/32)+aux(424) s(5518) =< s(5484)*s(5502) s(5519) =< s(5484)*s(5504) s(5520) =< s(5498)*s(5507) s(5521) =< s(5497)*s(5505) s(5522) =< s(5500)*s(5507) s(5523) =< s(5501)*aux(414) s(5524) =< s(5508) s(5525) =< s(5510) s(5509) =< s(5510) s(5526) =< s(5499) s(5527) =< s(5511) s(5528) =< s(5513) s(5529) =< s(5517) s(5530) =< s(5519) s(5531) =< s(5518) s(5531) =< s(5519) s(5532) =< s(5519) s(5532) =< s(5518) s(5533) =< s(5532) s(5534) =< s(5518) s(5535) =< s(5521) s(5536) =< s(5522) s(5537) =< s(5523) s(5415) =< aux(398) s(5416) =< aux(398) s(5417) =< aux(398) s(5418) =< aux(398) s(5419) =< aux(398) s(5420) =< aux(398) s(5421) =< aux(398) s(5422) =< aux(398) s(5423) =< aux(398) s(5424) =< aux(398) s(5425) =< aux(398) s(5426) =< aux(398) s(5408) =< aux(398) s(5407) =< aux(398) s(5408) =< aux(400) s(5407) =< aux(400) s(5427) =< aux(401) s(5428) =< aux(401) s(5429) =< aux(401) s(5417) =< aux(402) s(5428) =< aux(403) s(5430) =< aux(404) s(5418) =< aux(404) s(5419) =< aux(404) s(5421) =< aux(404) s(5422) =< aux(404) s(5424) =< aux(404) s(5425) =< aux(404) s(5408) =< aux(404) s(5429) =< aux(407) s(5431) =< aux(408) s(5432) =< aux(409) s(5423) =< aux(410) s(5424) =< aux(410) s(5425) =< aux(410) s(5408) =< aux(410) s(5422) =< aux(411) s(5424) =< aux(411) s(5419) =< aux(412) s(5433) =< aux(399)+3 s(5434) =< aux(399)+4 s(5435) =< aux(399)+5 s(5436) =< aux(399)+1 s(5437) =< aux(399)+2 s(5438) =< aux(399)-2 s(5430) =< aux(400)*(1/3)+aux(404) s(5418) =< aux(400)*(1/3)+aux(404) s(5419) =< aux(400)*(1/3)+aux(404) s(5420) =< aux(400)*(1/3)+aux(404) s(5421) =< aux(400)*(1/3)+aux(404) s(5422) =< aux(400)*(1/3)+aux(404) s(5423) =< aux(400)*(1/3)+aux(404) s(5424) =< aux(400)*(1/3)+aux(404) s(5426) =< aux(400)*(1/3)+aux(404) s(5408) =< aux(400)*(1/3)+aux(404) s(5425) =< aux(400)*(1/3)+aux(404) s(5422) =< aux(400)*(3/7)+aux(411) s(5423) =< aux(400)*(3/7)+aux(411) s(5424) =< aux(400)*(3/7)+aux(411) s(5425) =< aux(400)*(3/7)+aux(411) s(5426) =< aux(400)*(3/7)+aux(411) s(5423) =< aux(400)*(1/5)+aux(410) s(5424) =< aux(400)*(1/5)+aux(410) s(5425) =< aux(400)*(1/5)+aux(410) s(5426) =< aux(400)*(1/5)+aux(410) s(5408) =< aux(400)*(1/5)+aux(410) s(5419) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5420) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5421) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5422) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5423) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5424) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5425) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5426) =< aux(400)*(5/9)+s(5407)*(1/9)+aux(412) s(5417) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5418) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5419) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5420) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5421) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5422) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5423) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5424) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5425) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5426) =< aux(400)*(2/3)+s(5407)*(1/3)+aux(402) s(5429) =< aux(400)*(7/20)+s(5407)*(1/20)+aux(407) s(5415) =< aux(400)*(7/20)+s(5407)*(1/20)+aux(407) s(5428) =< aux(400)*(3/8)+s(5407)*(1/8)+aux(403) s(5429) =< aux(400)*(3/8)+s(5407)*(1/8)+aux(403) s(5415) =< aux(400)*(3/8)+s(5407)*(1/8)+aux(403) s(5427) =< aux(400)*(1/4)+aux(401) s(5428) =< aux(400)*(1/4)+aux(401) s(5429) =< aux(400)*(1/4)+aux(401) s(5415) =< aux(400)*(1/4)+aux(401) s(5431) =< aux(400)*(5/13)+s(5407)*(2/13)+aux(408) s(5427) =< aux(400)*(5/13)+s(5407)*(2/13)+aux(408) s(5428) =< aux(400)*(5/13)+s(5407)*(2/13)+aux(408) s(5429) =< aux(400)*(5/13)+s(5407)*(2/13)+aux(408) s(5415) =< aux(400)*(5/13)+s(5407)*(2/13)+aux(408) s(5439) =< s(5426)*s(5433) s(5440) =< s(5426)*s(5434) s(5441) =< s(5426)*s(5435) s(5442) =< s(5425)*s(5434) s(5443) =< s(5422)*s(5436) s(5444) =< s(5422)*s(5434) s(5445) =< s(5421)*s(5437) s(5446) =< s(5419)*s(5436) s(5447) =< s(5418)*s(5437) s(5448) =< s(5417)*s(5437) s(5432) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5431) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5427) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5428) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5429) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5415) =< aux(400)*(13/32)+s(5408)*(1/32)+s(5407)*(7/32)+aux(409) s(5449) =< s(5415)*s(5433) s(5450) =< s(5415)*s(5435) s(5451) =< s(5429)*s(5438) s(5452) =< s(5428)*s(5436) s(5453) =< s(5431)*s(5438) s(5454) =< s(5432)*aux(399) s(5455) =< s(5439) s(5456) =< s(5441) s(5440) =< s(5441) s(5457) =< s(5430) s(5458) =< s(5442) s(5459) =< s(5444) s(5460) =< s(5448) s(5461) =< s(5450) s(5462) =< s(5449) s(5462) =< s(5450) s(5463) =< s(5450) s(5463) =< s(5449) s(5464) =< s(5463) s(5465) =< s(5449) s(5466) =< s(5452) s(5467) =< s(5453) s(5468) =< s(5454) s(5676) =< aux(399) with precondition: [Out=1,V1>=1,V>=1] * Chain [96]: 8*s(5835)+20*s(5836)+3*s(5837)+1*s(5838)+3*s(5839)+2*s(5840)+1*s(5841)+3*s(5842)+1*s(5843)+3*s(5844)+6*s(5845)+6*s(5846)+1*s(5847)+5*s(5848)+5*s(5849)+5*s(5851)+5*s(5852)+4*s(5860)+1*s(5863)+1*s(5865)+1*s(5866)+2*s(5867)+2*s(5871)+22*s(5875)+21*s(5876)+3*s(5877)+14*s(5878)+7*s(5879)+8*s(5880)+18*s(5881)+4*s(5882)+3*s(5884)+78*s(5885)+9*s(5886)+3*s(5887)+10*s(5888)+8*s(5904)+20*s(5905)+3*s(5906)+1*s(5907)+3*s(5908)+2*s(5909)+1*s(5910)+3*s(5911)+1*s(5912)+3*s(5913)+6*s(5914)+6*s(5915)+1*s(5916)+5*s(5917)+5*s(5918)+5*s(5920)+5*s(5921)+4*s(5929)+1*s(5932)+1*s(5934)+1*s(5935)+2*s(5936)+2*s(5940)+22*s(5944)+21*s(5945)+3*s(5946)+14*s(5947)+7*s(5948)+8*s(5949)+18*s(5950)+4*s(5951)+3*s(5953)+78*s(5954)+9*s(5955)+3*s(5956)+10*s(5957)+8*s(5959)+3 Such that:s(5820) =< V1 s(5822) =< 2*V1+1 s(5823) =< V1/2 s(5824) =< V1/3 s(5825) =< V1/4 s(5826) =< 2/3*V1 s(5827) =< 2/3*V1+1/3 s(5828) =< 2/5*V1+1/5 s(5829) =< 3/10*V1 s(5830) =< 3/13*V1 s(5831) =< 3/16*V1 s(5832) =< 4/5*V1 s(5833) =< 4/7*V1 s(5834) =< 4/9*V1 s(5889) =< V s(5890) =< 2*V s(5891) =< 2*V+1 s(5892) =< V/2 s(5893) =< V/3 s(5894) =< V/4 s(5895) =< 2/3*V s(5896) =< 2/3*V+1/3 s(5897) =< 2/5*V+1/5 s(5898) =< 3/10*V s(5899) =< 3/13*V s(5900) =< 3/16*V s(5901) =< 4/5*V s(5902) =< 4/7*V s(5903) =< 4/9*V aux(428) =< 2*V1 s(5959) =< aux(428) s(5904) =< s(5889) s(5905) =< s(5889) s(5906) =< s(5889) s(5907) =< s(5889) s(5908) =< s(5889) s(5909) =< s(5889) s(5910) =< s(5889) s(5911) =< s(5889) s(5912) =< s(5889) s(5913) =< s(5889) s(5914) =< s(5889) s(5915) =< s(5889) s(5897) =< s(5889) s(5896) =< s(5889) s(5897) =< s(5891) s(5896) =< s(5891) s(5916) =< s(5892) s(5917) =< s(5892) s(5918) =< s(5892) s(5906) =< s(5893) s(5917) =< s(5894) s(5919) =< s(5895) s(5907) =< s(5895) s(5908) =< s(5895) s(5910) =< s(5895) s(5911) =< s(5895) s(5913) =< s(5895) s(5914) =< s(5895) s(5897) =< s(5895) s(5918) =< s(5898) s(5920) =< s(5899) s(5921) =< s(5900) s(5912) =< s(5901) s(5913) =< s(5901) s(5914) =< s(5901) s(5897) =< s(5901) s(5911) =< s(5902) s(5913) =< s(5902) s(5908) =< s(5903) s(5922) =< s(5890)+3 s(5923) =< s(5890)+4 s(5924) =< s(5890)+5 s(5925) =< s(5890)+1 s(5926) =< s(5890)+2 s(5927) =< s(5890)-2 s(5919) =< s(5891)*(1/3)+s(5895) s(5907) =< s(5891)*(1/3)+s(5895) s(5908) =< s(5891)*(1/3)+s(5895) s(5909) =< s(5891)*(1/3)+s(5895) s(5910) =< s(5891)*(1/3)+s(5895) s(5911) =< s(5891)*(1/3)+s(5895) s(5912) =< s(5891)*(1/3)+s(5895) s(5913) =< s(5891)*(1/3)+s(5895) s(5915) =< s(5891)*(1/3)+s(5895) s(5897) =< s(5891)*(1/3)+s(5895) s(5914) =< s(5891)*(1/3)+s(5895) s(5911) =< s(5891)*(3/7)+s(5902) s(5912) =< s(5891)*(3/7)+s(5902) s(5913) =< s(5891)*(3/7)+s(5902) s(5914) =< s(5891)*(3/7)+s(5902) s(5915) =< s(5891)*(3/7)+s(5902) s(5912) =< s(5891)*(1/5)+s(5901) s(5913) =< s(5891)*(1/5)+s(5901) s(5914) =< s(5891)*(1/5)+s(5901) s(5915) =< s(5891)*(1/5)+s(5901) s(5897) =< s(5891)*(1/5)+s(5901) s(5908) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5909) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5910) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5911) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5912) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5913) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5914) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5915) =< s(5891)*(5/9)+s(5896)*(1/9)+s(5903) s(5906) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5907) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5908) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5909) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5910) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5911) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5912) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5913) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5914) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5915) =< s(5891)*(2/3)+s(5896)*(1/3)+s(5893) s(5918) =< s(5891)*(7/20)+s(5896)*(1/20)+s(5898) s(5904) =< s(5891)*(7/20)+s(5896)*(1/20)+s(5898) s(5917) =< s(5891)*(3/8)+s(5896)*(1/8)+s(5894) s(5918) =< s(5891)*(3/8)+s(5896)*(1/8)+s(5894) s(5904) =< s(5891)*(3/8)+s(5896)*(1/8)+s(5894) s(5916) =< s(5891)*(1/4)+s(5892) s(5917) =< s(5891)*(1/4)+s(5892) s(5918) =< s(5891)*(1/4)+s(5892) s(5904) =< s(5891)*(1/4)+s(5892) s(5920) =< s(5891)*(5/13)+s(5896)*(2/13)+s(5899) s(5916) =< s(5891)*(5/13)+s(5896)*(2/13)+s(5899) s(5917) =< s(5891)*(5/13)+s(5896)*(2/13)+s(5899) s(5918) =< s(5891)*(5/13)+s(5896)*(2/13)+s(5899) s(5904) =< s(5891)*(5/13)+s(5896)*(2/13)+s(5899) s(5928) =< s(5915)*s(5922) s(5929) =< s(5915)*s(5923) s(5930) =< s(5915)*s(5924) s(5931) =< s(5914)*s(5923) s(5932) =< s(5911)*s(5925) s(5933) =< s(5911)*s(5923) s(5934) =< s(5910)*s(5926) s(5935) =< s(5908)*s(5925) s(5936) =< s(5907)*s(5926) s(5937) =< s(5906)*s(5926) s(5921) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5920) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5916) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5917) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5918) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5904) =< s(5891)*(13/32)+s(5897)*(1/32)+s(5896)*(7/32)+s(5900) s(5938) =< s(5904)*s(5922) s(5939) =< s(5904)*s(5924) s(5940) =< s(5918)*s(5927) s(5941) =< s(5917)*s(5925) s(5942) =< s(5920)*s(5927) s(5943) =< s(5921)*s(5890) s(5944) =< s(5928) s(5945) =< s(5930) s(5929) =< s(5930) s(5946) =< s(5919) s(5947) =< s(5931) s(5948) =< s(5933) s(5949) =< s(5937) s(5950) =< s(5939) s(5951) =< s(5938) s(5951) =< s(5939) s(5952) =< s(5939) s(5952) =< s(5938) s(5953) =< s(5952) s(5954) =< s(5938) s(5955) =< s(5941) s(5956) =< s(5942) s(5957) =< s(5943) s(5835) =< s(5820) s(5836) =< s(5820) s(5837) =< s(5820) s(5838) =< s(5820) s(5839) =< s(5820) s(5840) =< s(5820) s(5841) =< s(5820) s(5842) =< s(5820) s(5843) =< s(5820) s(5844) =< s(5820) s(5845) =< s(5820) s(5846) =< s(5820) s(5828) =< s(5820) s(5827) =< s(5820) s(5828) =< s(5822) s(5827) =< s(5822) s(5847) =< s(5823) s(5848) =< s(5823) s(5849) =< s(5823) s(5837) =< s(5824) s(5848) =< s(5825) s(5850) =< s(5826) s(5838) =< s(5826) s(5839) =< s(5826) s(5841) =< s(5826) s(5842) =< s(5826) s(5844) =< s(5826) s(5845) =< s(5826) s(5828) =< s(5826) s(5849) =< s(5829) s(5851) =< s(5830) s(5852) =< s(5831) s(5843) =< s(5832) s(5844) =< s(5832) s(5845) =< s(5832) s(5828) =< s(5832) s(5842) =< s(5833) s(5844) =< s(5833) s(5839) =< s(5834) s(5853) =< aux(428)+3 s(5854) =< aux(428)+4 s(5855) =< aux(428)+5 s(5856) =< aux(428)+1 s(5857) =< aux(428)+2 s(5858) =< aux(428)-2 s(5850) =< s(5822)*(1/3)+s(5826) s(5838) =< s(5822)*(1/3)+s(5826) s(5839) =< s(5822)*(1/3)+s(5826) s(5840) =< s(5822)*(1/3)+s(5826) s(5841) =< s(5822)*(1/3)+s(5826) s(5842) =< s(5822)*(1/3)+s(5826) s(5843) =< s(5822)*(1/3)+s(5826) s(5844) =< s(5822)*(1/3)+s(5826) s(5846) =< s(5822)*(1/3)+s(5826) s(5828) =< s(5822)*(1/3)+s(5826) s(5845) =< s(5822)*(1/3)+s(5826) s(5842) =< s(5822)*(3/7)+s(5833) s(5843) =< s(5822)*(3/7)+s(5833) s(5844) =< s(5822)*(3/7)+s(5833) s(5845) =< s(5822)*(3/7)+s(5833) s(5846) =< s(5822)*(3/7)+s(5833) s(5843) =< s(5822)*(1/5)+s(5832) s(5844) =< s(5822)*(1/5)+s(5832) s(5845) =< s(5822)*(1/5)+s(5832) s(5846) =< s(5822)*(1/5)+s(5832) s(5828) =< s(5822)*(1/5)+s(5832) s(5839) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5840) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5841) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5842) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5843) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5844) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5845) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5846) =< s(5822)*(5/9)+s(5827)*(1/9)+s(5834) s(5837) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5838) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5839) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5840) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5841) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5842) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5843) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5844) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5845) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5846) =< s(5822)*(2/3)+s(5827)*(1/3)+s(5824) s(5849) =< s(5822)*(7/20)+s(5827)*(1/20)+s(5829) s(5835) =< s(5822)*(7/20)+s(5827)*(1/20)+s(5829) s(5848) =< s(5822)*(3/8)+s(5827)*(1/8)+s(5825) s(5849) =< s(5822)*(3/8)+s(5827)*(1/8)+s(5825) s(5835) =< s(5822)*(3/8)+s(5827)*(1/8)+s(5825) s(5847) =< s(5822)*(1/4)+s(5823) s(5848) =< s(5822)*(1/4)+s(5823) s(5849) =< s(5822)*(1/4)+s(5823) s(5835) =< s(5822)*(1/4)+s(5823) s(5851) =< s(5822)*(5/13)+s(5827)*(2/13)+s(5830) s(5847) =< s(5822)*(5/13)+s(5827)*(2/13)+s(5830) s(5848) =< s(5822)*(5/13)+s(5827)*(2/13)+s(5830) s(5849) =< s(5822)*(5/13)+s(5827)*(2/13)+s(5830) s(5835) =< s(5822)*(5/13)+s(5827)*(2/13)+s(5830) s(5859) =< s(5846)*s(5853) s(5860) =< s(5846)*s(5854) s(5861) =< s(5846)*s(5855) s(5862) =< s(5845)*s(5854) s(5863) =< s(5842)*s(5856) s(5864) =< s(5842)*s(5854) s(5865) =< s(5841)*s(5857) s(5866) =< s(5839)*s(5856) s(5867) =< s(5838)*s(5857) s(5868) =< s(5837)*s(5857) s(5852) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5851) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5847) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5848) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5849) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5835) =< s(5822)*(13/32)+s(5828)*(1/32)+s(5827)*(7/32)+s(5831) s(5869) =< s(5835)*s(5853) s(5870) =< s(5835)*s(5855) s(5871) =< s(5849)*s(5858) s(5872) =< s(5848)*s(5856) s(5873) =< s(5851)*s(5858) s(5874) =< s(5852)*aux(428) s(5875) =< s(5859) s(5876) =< s(5861) s(5860) =< s(5861) s(5877) =< s(5850) s(5878) =< s(5862) s(5879) =< s(5864) s(5880) =< s(5868) s(5881) =< s(5870) s(5882) =< s(5869) s(5882) =< s(5870) s(5883) =< s(5870) s(5883) =< s(5869) s(5884) =< s(5883) s(5885) =< s(5869) s(5886) =< s(5872) s(5887) =< s(5873) s(5888) =< s(5874) with precondition: [Out>=2,2*V1>=2*Out+1,2*V>=Out+1] #### Cost of chains of fun9(V1,V,V15,Out): * Chain [107]: 64*s(6484)+160*s(6485)+24*s(6486)+8*s(6487)+24*s(6488)+16*s(6489)+8*s(6490)+24*s(6491)+8*s(6492)+24*s(6493)+48*s(6494)+48*s(6495)+8*s(6496)+40*s(6497)+40*s(6498)+40*s(6500)+40*s(6501)+32*s(6509)+8*s(6512)+8*s(6514)+8*s(6515)+16*s(6516)+16*s(6520)+176*s(6524)+168*s(6525)+24*s(6526)+112*s(6527)+56*s(6528)+64*s(6529)+144*s(6530)+32*s(6531)+24*s(6533)+624*s(6534)+72*s(6535)+24*s(6536)+80*s(6537)+112*s(6553)+280*s(6554)+42*s(6555)+14*s(6556)+42*s(6557)+28*s(6558)+14*s(6559)+42*s(6560)+14*s(6561)+42*s(6562)+84*s(6563)+84*s(6564)+14*s(6565)+70*s(6566)+70*s(6567)+70*s(6569)+70*s(6570)+56*s(6578)+14*s(6581)+14*s(6583)+14*s(6584)+28*s(6585)+28*s(6589)+308*s(6593)+294*s(6594)+42*s(6595)+196*s(6596)+98*s(6597)+112*s(6598)+252*s(6599)+56*s(6600)+42*s(6602)+1092*s(6603)+126*s(6604)+42*s(6605)+140*s(6606)+152*s(6622)+380*s(6623)+57*s(6624)+19*s(6625)+57*s(6626)+38*s(6627)+19*s(6628)+57*s(6629)+19*s(6630)+57*s(6631)+114*s(6632)+114*s(6633)+19*s(6634)+95*s(6635)+95*s(6636)+95*s(6638)+95*s(6639)+76*s(6647)+19*s(6650)+19*s(6652)+19*s(6653)+38*s(6654)+38*s(6658)+418*s(6662)+399*s(6663)+57*s(6664)+266*s(6665)+133*s(6666)+152*s(6667)+342*s(6668)+76*s(6669)+57*s(6671)+1482*s(6672)+171*s(6673)+57*s(6674)+190*s(6675)+164*s(7850)+98*s(7853)+63*s(8277)+48*s(9395)+8 Such that:aux(492) =< 1 aux(493) =< 2 aux(494) =< V1 aux(495) =< 2*V1 aux(496) =< 2*V1+1 aux(497) =< V1/2 aux(498) =< V1/3 aux(499) =< V1/4 aux(500) =< 2/3*V1 aux(501) =< 2/3*V1+1/3 aux(502) =< 2/5*V1+1/5 aux(503) =< 3/10*V1 aux(504) =< 3/13*V1 aux(505) =< 3/16*V1 aux(506) =< 4/5*V1 aux(507) =< 4/7*V1 aux(508) =< 4/9*V1 aux(509) =< V aux(510) =< 2*V aux(511) =< 2*V+1 aux(512) =< V/2 aux(513) =< V/3 aux(514) =< V/4 aux(515) =< 2/3*V aux(516) =< 2/3*V+1/3 aux(517) =< 2/5*V+1/5 aux(518) =< 3/10*V aux(519) =< 3/13*V aux(520) =< 3/16*V aux(521) =< 4/5*V aux(522) =< 4/7*V aux(523) =< 4/9*V aux(524) =< V15 aux(525) =< 2*V15 aux(526) =< 2*V15+1 aux(527) =< V15/2 aux(528) =< V15/3 aux(529) =< V15/4 aux(530) =< 2/3*V15 aux(531) =< 2/3*V15+1/3 aux(532) =< 2/5*V15+1/5 aux(533) =< 3/10*V15 aux(534) =< 3/13*V15 aux(535) =< 3/16*V15 aux(536) =< 4/5*V15 aux(537) =< 4/7*V15 aux(538) =< 4/9*V15 s(7853) =< aux(492) s(6476) =< aux(501) s(6477) =< aux(502) s(6545) =< aux(516) s(6546) =< aux(517) s(6614) =< aux(531) s(6615) =< aux(532) s(7850) =< aux(510) s(6622) =< aux(524) s(6623) =< aux(524) s(6624) =< aux(524) s(6625) =< aux(524) s(6626) =< aux(524) s(6627) =< aux(524) s(6628) =< aux(524) s(6629) =< aux(524) s(6630) =< aux(524) s(6631) =< aux(524) s(6632) =< aux(524) s(6633) =< aux(524) s(6615) =< aux(524) s(6614) =< aux(524) s(6615) =< aux(526) s(6614) =< aux(526) s(6634) =< aux(527) s(6635) =< aux(527) s(6636) =< aux(527) s(6624) =< aux(528) s(6635) =< aux(529) s(6637) =< aux(530) s(6625) =< aux(530) s(6626) =< aux(530) s(6628) =< aux(530) s(6629) =< aux(530) s(6631) =< aux(530) s(6632) =< aux(530) s(6615) =< aux(530) s(6636) =< aux(533) s(6638) =< aux(534) s(6639) =< aux(535) s(6630) =< aux(536) s(6631) =< aux(536) s(6632) =< aux(536) s(6615) =< aux(536) s(6629) =< aux(537) s(6631) =< aux(537) s(6626) =< aux(538) s(6640) =< aux(525)+3 s(6641) =< aux(525)+4 s(6642) =< aux(525)+5 s(6643) =< aux(525)+1 s(6644) =< aux(525)+2 s(6645) =< aux(525)-2 s(6637) =< aux(526)*(1/3)+aux(530) s(6625) =< aux(526)*(1/3)+aux(530) s(6626) =< aux(526)*(1/3)+aux(530) s(6627) =< aux(526)*(1/3)+aux(530) s(6628) =< aux(526)*(1/3)+aux(530) s(6629) =< aux(526)*(1/3)+aux(530) s(6630) =< aux(526)*(1/3)+aux(530) s(6631) =< aux(526)*(1/3)+aux(530) s(6633) =< aux(526)*(1/3)+aux(530) s(6615) =< aux(526)*(1/3)+aux(530) s(6632) =< aux(526)*(1/3)+aux(530) s(6629) =< aux(526)*(3/7)+aux(537) s(6630) =< aux(526)*(3/7)+aux(537) s(6631) =< aux(526)*(3/7)+aux(537) s(6632) =< aux(526)*(3/7)+aux(537) s(6633) =< aux(526)*(3/7)+aux(537) s(6630) =< aux(526)*(1/5)+aux(536) s(6631) =< aux(526)*(1/5)+aux(536) s(6632) =< aux(526)*(1/5)+aux(536) s(6633) =< aux(526)*(1/5)+aux(536) s(6615) =< aux(526)*(1/5)+aux(536) s(6626) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6627) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6628) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6629) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6630) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6631) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6632) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6633) =< aux(526)*(5/9)+s(6614)*(1/9)+aux(538) s(6624) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6625) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6626) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6627) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6628) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6629) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6630) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6631) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6632) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6633) =< aux(526)*(2/3)+s(6614)*(1/3)+aux(528) s(6636) =< aux(526)*(7/20)+s(6614)*(1/20)+aux(533) s(6622) =< aux(526)*(7/20)+s(6614)*(1/20)+aux(533) s(6635) =< aux(526)*(3/8)+s(6614)*(1/8)+aux(529) s(6636) =< aux(526)*(3/8)+s(6614)*(1/8)+aux(529) s(6622) =< aux(526)*(3/8)+s(6614)*(1/8)+aux(529) s(6634) =< aux(526)*(1/4)+aux(527) s(6635) =< aux(526)*(1/4)+aux(527) s(6636) =< aux(526)*(1/4)+aux(527) s(6622) =< aux(526)*(1/4)+aux(527) s(6638) =< aux(526)*(5/13)+s(6614)*(2/13)+aux(534) s(6634) =< aux(526)*(5/13)+s(6614)*(2/13)+aux(534) s(6635) =< aux(526)*(5/13)+s(6614)*(2/13)+aux(534) s(6636) =< aux(526)*(5/13)+s(6614)*(2/13)+aux(534) s(6622) =< aux(526)*(5/13)+s(6614)*(2/13)+aux(534) s(6646) =< s(6633)*s(6640) s(6647) =< s(6633)*s(6641) s(6648) =< s(6633)*s(6642) s(6649) =< s(6632)*s(6641) s(6650) =< s(6629)*s(6643) s(6651) =< s(6629)*s(6641) s(6652) =< s(6628)*s(6644) s(6653) =< s(6626)*s(6643) s(6654) =< s(6625)*s(6644) s(6655) =< s(6624)*s(6644) s(6639) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6638) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6634) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6635) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6636) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6622) =< aux(526)*(13/32)+s(6615)*(1/32)+s(6614)*(7/32)+aux(535) s(6656) =< s(6622)*s(6640) s(6657) =< s(6622)*s(6642) s(6658) =< s(6636)*s(6645) s(6659) =< s(6635)*s(6643) s(6660) =< s(6638)*s(6645) s(6661) =< s(6639)*aux(525) s(6662) =< s(6646) s(6663) =< s(6648) s(6647) =< s(6648) s(6664) =< s(6637) s(6665) =< s(6649) s(6666) =< s(6651) s(6667) =< s(6655) s(6668) =< s(6657) s(6669) =< s(6656) s(6669) =< s(6657) s(6670) =< s(6657) s(6670) =< s(6656) s(6671) =< s(6670) s(6672) =< s(6656) s(6673) =< s(6659) s(6674) =< s(6660) s(6675) =< s(6661) s(6553) =< aux(509) s(6554) =< aux(509) s(6555) =< aux(509) s(6556) =< aux(509) s(6557) =< aux(509) s(6558) =< aux(509) s(6559) =< aux(509) s(6560) =< aux(509) s(6561) =< aux(509) s(6562) =< aux(509) s(6563) =< aux(509) s(6564) =< aux(509) s(6546) =< aux(509) s(6545) =< aux(509) s(6546) =< aux(511) s(6545) =< aux(511) s(6565) =< aux(512) s(6566) =< aux(512) s(6567) =< aux(512) s(6555) =< aux(513) s(6566) =< aux(514) s(6568) =< aux(515) s(6556) =< aux(515) s(6557) =< aux(515) s(6559) =< aux(515) s(6560) =< aux(515) s(6562) =< aux(515) s(6563) =< aux(515) s(6546) =< aux(515) s(6567) =< aux(518) s(6569) =< aux(519) s(6570) =< aux(520) s(6561) =< aux(521) s(6562) =< aux(521) s(6563) =< aux(521) s(6546) =< aux(521) s(6560) =< aux(522) s(6562) =< aux(522) s(6557) =< aux(523) s(6571) =< aux(510)+3 s(6572) =< aux(510)+4 s(6573) =< aux(510)+5 s(6574) =< aux(510)+1 s(6575) =< aux(510)+2 s(6576) =< aux(510)-2 s(6568) =< aux(511)*(1/3)+aux(515) s(6556) =< aux(511)*(1/3)+aux(515) s(6557) =< aux(511)*(1/3)+aux(515) s(6558) =< aux(511)*(1/3)+aux(515) s(6559) =< aux(511)*(1/3)+aux(515) s(6560) =< aux(511)*(1/3)+aux(515) s(6561) =< aux(511)*(1/3)+aux(515) s(6562) =< aux(511)*(1/3)+aux(515) s(6564) =< aux(511)*(1/3)+aux(515) s(6546) =< aux(511)*(1/3)+aux(515) s(6563) =< aux(511)*(1/3)+aux(515) s(6560) =< aux(511)*(3/7)+aux(522) s(6561) =< aux(511)*(3/7)+aux(522) s(6562) =< aux(511)*(3/7)+aux(522) s(6563) =< aux(511)*(3/7)+aux(522) s(6564) =< aux(511)*(3/7)+aux(522) s(6561) =< aux(511)*(1/5)+aux(521) s(6562) =< aux(511)*(1/5)+aux(521) s(6563) =< aux(511)*(1/5)+aux(521) s(6564) =< aux(511)*(1/5)+aux(521) s(6546) =< aux(511)*(1/5)+aux(521) s(6557) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6558) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6559) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6560) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6561) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6562) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6563) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6564) =< aux(511)*(5/9)+s(6545)*(1/9)+aux(523) s(6555) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6556) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6557) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6558) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6559) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6560) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6561) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6562) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6563) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6564) =< aux(511)*(2/3)+s(6545)*(1/3)+aux(513) s(6567) =< aux(511)*(7/20)+s(6545)*(1/20)+aux(518) s(6553) =< aux(511)*(7/20)+s(6545)*(1/20)+aux(518) s(6566) =< aux(511)*(3/8)+s(6545)*(1/8)+aux(514) s(6567) =< aux(511)*(3/8)+s(6545)*(1/8)+aux(514) s(6553) =< aux(511)*(3/8)+s(6545)*(1/8)+aux(514) s(6565) =< aux(511)*(1/4)+aux(512) s(6566) =< aux(511)*(1/4)+aux(512) s(6567) =< aux(511)*(1/4)+aux(512) s(6553) =< aux(511)*(1/4)+aux(512) s(6569) =< aux(511)*(5/13)+s(6545)*(2/13)+aux(519) s(6565) =< aux(511)*(5/13)+s(6545)*(2/13)+aux(519) s(6566) =< aux(511)*(5/13)+s(6545)*(2/13)+aux(519) s(6567) =< aux(511)*(5/13)+s(6545)*(2/13)+aux(519) s(6553) =< aux(511)*(5/13)+s(6545)*(2/13)+aux(519) s(6577) =< s(6564)*s(6571) s(6578) =< s(6564)*s(6572) s(6579) =< s(6564)*s(6573) s(6580) =< s(6563)*s(6572) s(6581) =< s(6560)*s(6574) s(6582) =< s(6560)*s(6572) s(6583) =< s(6559)*s(6575) s(6584) =< s(6557)*s(6574) s(6585) =< s(6556)*s(6575) s(6586) =< s(6555)*s(6575) s(6570) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6569) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6565) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6566) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6567) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6553) =< aux(511)*(13/32)+s(6546)*(1/32)+s(6545)*(7/32)+aux(520) s(6587) =< s(6553)*s(6571) s(6588) =< s(6553)*s(6573) s(6589) =< s(6567)*s(6576) s(6590) =< s(6566)*s(6574) s(6591) =< s(6569)*s(6576) s(6592) =< s(6570)*aux(510) s(6593) =< s(6577) s(6594) =< s(6579) s(6578) =< s(6579) s(6595) =< s(6568) s(6596) =< s(6580) s(6597) =< s(6582) s(6598) =< s(6586) s(6599) =< s(6588) s(6600) =< s(6587) s(6600) =< s(6588) s(6601) =< s(6588) s(6601) =< s(6587) s(6602) =< s(6601) s(6603) =< s(6587) s(6604) =< s(6590) s(6605) =< s(6591) s(6606) =< s(6592) s(6484) =< aux(494) s(6485) =< aux(494) s(6486) =< aux(494) s(6487) =< aux(494) s(6488) =< aux(494) s(6489) =< aux(494) s(6490) =< aux(494) s(6491) =< aux(494) s(6492) =< aux(494) s(6493) =< aux(494) s(6494) =< aux(494) s(6495) =< aux(494) s(6477) =< aux(494) s(6476) =< aux(494) s(6477) =< aux(496) s(6476) =< aux(496) s(6496) =< aux(497) s(6497) =< aux(497) s(6498) =< aux(497) s(6486) =< aux(498) s(6497) =< aux(499) s(6499) =< aux(500) s(6487) =< aux(500) s(6488) =< aux(500) s(6490) =< aux(500) s(6491) =< aux(500) s(6493) =< aux(500) s(6494) =< aux(500) s(6477) =< aux(500) s(6498) =< aux(503) s(6500) =< aux(504) s(6501) =< aux(505) s(6492) =< aux(506) s(6493) =< aux(506) s(6494) =< aux(506) s(6477) =< aux(506) s(6491) =< aux(507) s(6493) =< aux(507) s(6488) =< aux(508) s(6502) =< aux(495)+3 s(6503) =< aux(495)+4 s(6504) =< aux(495)+5 s(6505) =< aux(495)+1 s(6506) =< aux(495)+2 s(6507) =< aux(495)-2 s(6499) =< aux(496)*(1/3)+aux(500) s(6487) =< aux(496)*(1/3)+aux(500) s(6488) =< aux(496)*(1/3)+aux(500) s(6489) =< aux(496)*(1/3)+aux(500) s(6490) =< aux(496)*(1/3)+aux(500) s(6491) =< aux(496)*(1/3)+aux(500) s(6492) =< aux(496)*(1/3)+aux(500) s(6493) =< aux(496)*(1/3)+aux(500) s(6495) =< aux(496)*(1/3)+aux(500) s(6477) =< aux(496)*(1/3)+aux(500) s(6494) =< aux(496)*(1/3)+aux(500) s(6491) =< aux(496)*(3/7)+aux(507) s(6492) =< aux(496)*(3/7)+aux(507) s(6493) =< aux(496)*(3/7)+aux(507) s(6494) =< aux(496)*(3/7)+aux(507) s(6495) =< aux(496)*(3/7)+aux(507) s(6492) =< aux(496)*(1/5)+aux(506) s(6493) =< aux(496)*(1/5)+aux(506) s(6494) =< aux(496)*(1/5)+aux(506) s(6495) =< aux(496)*(1/5)+aux(506) s(6477) =< aux(496)*(1/5)+aux(506) s(6488) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6489) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6490) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6491) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6492) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6493) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6494) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6495) =< aux(496)*(5/9)+s(6476)*(1/9)+aux(508) s(6486) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6487) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6488) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6489) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6490) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6491) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6492) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6493) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6494) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6495) =< aux(496)*(2/3)+s(6476)*(1/3)+aux(498) s(6498) =< aux(496)*(7/20)+s(6476)*(1/20)+aux(503) s(6484) =< aux(496)*(7/20)+s(6476)*(1/20)+aux(503) s(6497) =< aux(496)*(3/8)+s(6476)*(1/8)+aux(499) s(6498) =< aux(496)*(3/8)+s(6476)*(1/8)+aux(499) s(6484) =< aux(496)*(3/8)+s(6476)*(1/8)+aux(499) s(6496) =< aux(496)*(1/4)+aux(497) s(6497) =< aux(496)*(1/4)+aux(497) s(6498) =< aux(496)*(1/4)+aux(497) s(6484) =< aux(496)*(1/4)+aux(497) s(6500) =< aux(496)*(5/13)+s(6476)*(2/13)+aux(504) s(6496) =< aux(496)*(5/13)+s(6476)*(2/13)+aux(504) s(6497) =< aux(496)*(5/13)+s(6476)*(2/13)+aux(504) s(6498) =< aux(496)*(5/13)+s(6476)*(2/13)+aux(504) s(6484) =< aux(496)*(5/13)+s(6476)*(2/13)+aux(504) s(6508) =< s(6495)*s(6502) s(6509) =< s(6495)*s(6503) s(6510) =< s(6495)*s(6504) s(6511) =< s(6494)*s(6503) s(6512) =< s(6491)*s(6505) s(6513) =< s(6491)*s(6503) s(6514) =< s(6490)*s(6506) s(6515) =< s(6488)*s(6505) s(6516) =< s(6487)*s(6506) s(6517) =< s(6486)*s(6506) s(6501) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6500) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6496) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6497) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6498) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6484) =< aux(496)*(13/32)+s(6477)*(1/32)+s(6476)*(7/32)+aux(505) s(6518) =< s(6484)*s(6502) s(6519) =< s(6484)*s(6504) s(6520) =< s(6498)*s(6507) s(6521) =< s(6497)*s(6505) s(6522) =< s(6500)*s(6507) s(6523) =< s(6501)*aux(495) s(6524) =< s(6508) s(6525) =< s(6510) s(6509) =< s(6510) s(6526) =< s(6499) s(6527) =< s(6511) s(6528) =< s(6513) s(6529) =< s(6517) s(6530) =< s(6519) s(6531) =< s(6518) s(6531) =< s(6519) s(6532) =< s(6519) s(6532) =< s(6518) s(6533) =< s(6532) s(6534) =< s(6518) s(6535) =< s(6521) s(6536) =< s(6522) s(6537) =< s(6523) s(9395) =< aux(493) s(8277) =< aux(525) with precondition: [Out=0,V1>=0,V>=0,V15>=0] * Chain [106]: 32*s(9436)+80*s(9437)+12*s(9438)+4*s(9439)+12*s(9440)+8*s(9441)+4*s(9442)+12*s(9443)+4*s(9444)+12*s(9445)+24*s(9446)+24*s(9447)+4*s(9448)+20*s(9449)+20*s(9450)+20*s(9452)+20*s(9453)+16*s(9461)+4*s(9464)+4*s(9466)+4*s(9467)+8*s(9468)+8*s(9472)+88*s(9476)+84*s(9477)+12*s(9478)+56*s(9479)+28*s(9480)+32*s(9481)+72*s(9482)+16*s(9483)+12*s(9485)+312*s(9486)+36*s(9487)+12*s(9488)+40*s(9489)+56*s(9505)+140*s(9506)+21*s(9507)+7*s(9508)+21*s(9509)+14*s(9510)+7*s(9511)+21*s(9512)+7*s(9513)+21*s(9514)+42*s(9515)+42*s(9516)+7*s(9517)+35*s(9518)+35*s(9519)+35*s(9521)+35*s(9522)+28*s(9530)+7*s(9533)+7*s(9535)+7*s(9536)+14*s(9537)+14*s(9541)+154*s(9545)+147*s(9546)+21*s(9547)+98*s(9548)+49*s(9549)+56*s(9550)+126*s(9551)+28*s(9552)+21*s(9554)+546*s(9555)+63*s(9556)+21*s(9557)+70*s(9558)+14*s(9905)+64*s(9910)+50*s(10055)+8 Such that:aux(543) =< 1 aux(544) =< 2 aux(545) =< V1 aux(546) =< 2*V1 aux(547) =< 2*V1+1 aux(548) =< V1/2 aux(549) =< V1/3 aux(550) =< V1/4 aux(551) =< 2/3*V1 aux(552) =< 2/3*V1+1/3 aux(553) =< 2/5*V1+1/5 aux(554) =< 3/10*V1 aux(555) =< 3/13*V1 aux(556) =< 3/16*V1 aux(557) =< 4/5*V1 aux(558) =< 4/7*V1 aux(559) =< 4/9*V1 aux(560) =< V aux(561) =< 2*V aux(562) =< 2*V+1 aux(563) =< V/2 aux(564) =< V/3 aux(565) =< V/4 aux(566) =< 2/3*V aux(567) =< 2/3*V+1/3 aux(568) =< 2/5*V+1/5 aux(569) =< 3/10*V aux(570) =< 3/13*V aux(571) =< 3/16*V aux(572) =< 4/5*V aux(573) =< 4/7*V aux(574) =< 4/9*V s(9905) =< aux(543) s(9428) =< aux(552) s(9429) =< aux(553) s(9497) =< aux(567) s(9498) =< aux(568) s(9910) =< aux(544) s(9505) =< aux(560) s(9506) =< aux(560) s(9507) =< aux(560) s(9508) =< aux(560) s(9509) =< aux(560) s(9510) =< aux(560) s(9511) =< aux(560) s(9512) =< aux(560) s(9513) =< aux(560) s(9514) =< aux(560) s(9515) =< aux(560) s(9516) =< aux(560) s(9498) =< aux(560) s(9497) =< aux(560) s(9498) =< aux(562) s(9497) =< aux(562) s(9517) =< aux(563) s(9518) =< aux(563) s(9519) =< aux(563) s(9507) =< aux(564) s(9518) =< aux(565) s(9520) =< aux(566) s(9508) =< aux(566) s(9509) =< aux(566) s(9511) =< aux(566) s(9512) =< aux(566) s(9514) =< aux(566) s(9515) =< aux(566) s(9498) =< aux(566) s(9519) =< aux(569) s(9521) =< aux(570) s(9522) =< aux(571) s(9513) =< aux(572) s(9514) =< aux(572) s(9515) =< aux(572) s(9498) =< aux(572) s(9512) =< aux(573) s(9514) =< aux(573) s(9509) =< aux(574) s(9523) =< aux(561)+3 s(9524) =< aux(561)+4 s(9525) =< aux(561)+5 s(9526) =< aux(561)+1 s(9527) =< aux(561)+2 s(9528) =< aux(561)-2 s(9520) =< aux(562)*(1/3)+aux(566) s(9508) =< aux(562)*(1/3)+aux(566) s(9509) =< aux(562)*(1/3)+aux(566) s(9510) =< aux(562)*(1/3)+aux(566) s(9511) =< aux(562)*(1/3)+aux(566) s(9512) =< aux(562)*(1/3)+aux(566) s(9513) =< aux(562)*(1/3)+aux(566) s(9514) =< aux(562)*(1/3)+aux(566) s(9516) =< aux(562)*(1/3)+aux(566) s(9498) =< aux(562)*(1/3)+aux(566) s(9515) =< aux(562)*(1/3)+aux(566) s(9512) =< aux(562)*(3/7)+aux(573) s(9513) =< aux(562)*(3/7)+aux(573) s(9514) =< aux(562)*(3/7)+aux(573) s(9515) =< aux(562)*(3/7)+aux(573) s(9516) =< aux(562)*(3/7)+aux(573) s(9513) =< aux(562)*(1/5)+aux(572) s(9514) =< aux(562)*(1/5)+aux(572) s(9515) =< aux(562)*(1/5)+aux(572) s(9516) =< aux(562)*(1/5)+aux(572) s(9498) =< aux(562)*(1/5)+aux(572) s(9509) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9510) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9511) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9512) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9513) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9514) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9515) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9516) =< aux(562)*(5/9)+s(9497)*(1/9)+aux(574) s(9507) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9508) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9509) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9510) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9511) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9512) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9513) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9514) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9515) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9516) =< aux(562)*(2/3)+s(9497)*(1/3)+aux(564) s(9519) =< aux(562)*(7/20)+s(9497)*(1/20)+aux(569) s(9505) =< aux(562)*(7/20)+s(9497)*(1/20)+aux(569) s(9518) =< aux(562)*(3/8)+s(9497)*(1/8)+aux(565) s(9519) =< aux(562)*(3/8)+s(9497)*(1/8)+aux(565) s(9505) =< aux(562)*(3/8)+s(9497)*(1/8)+aux(565) s(9517) =< aux(562)*(1/4)+aux(563) s(9518) =< aux(562)*(1/4)+aux(563) s(9519) =< aux(562)*(1/4)+aux(563) s(9505) =< aux(562)*(1/4)+aux(563) s(9521) =< aux(562)*(5/13)+s(9497)*(2/13)+aux(570) s(9517) =< aux(562)*(5/13)+s(9497)*(2/13)+aux(570) s(9518) =< aux(562)*(5/13)+s(9497)*(2/13)+aux(570) s(9519) =< aux(562)*(5/13)+s(9497)*(2/13)+aux(570) s(9505) =< aux(562)*(5/13)+s(9497)*(2/13)+aux(570) s(9529) =< s(9516)*s(9523) s(9530) =< s(9516)*s(9524) s(9531) =< s(9516)*s(9525) s(9532) =< s(9515)*s(9524) s(9533) =< s(9512)*s(9526) s(9534) =< s(9512)*s(9524) s(9535) =< s(9511)*s(9527) s(9536) =< s(9509)*s(9526) s(9537) =< s(9508)*s(9527) s(9538) =< s(9507)*s(9527) s(9522) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9521) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9517) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9518) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9519) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9505) =< aux(562)*(13/32)+s(9498)*(1/32)+s(9497)*(7/32)+aux(571) s(9539) =< s(9505)*s(9523) s(9540) =< s(9505)*s(9525) s(9541) =< s(9519)*s(9528) s(9542) =< s(9518)*s(9526) s(9543) =< s(9521)*s(9528) s(9544) =< s(9522)*aux(561) s(9545) =< s(9529) s(9546) =< s(9531) s(9530) =< s(9531) s(9547) =< s(9520) s(9548) =< s(9532) s(9549) =< s(9534) s(9550) =< s(9538) s(9551) =< s(9540) s(9552) =< s(9539) s(9552) =< s(9540) s(9553) =< s(9540) s(9553) =< s(9539) s(9554) =< s(9553) s(9555) =< s(9539) s(9556) =< s(9542) s(9557) =< s(9543) s(9558) =< s(9544) s(9436) =< aux(545) s(9437) =< aux(545) s(9438) =< aux(545) s(9439) =< aux(545) s(9440) =< aux(545) s(9441) =< aux(545) s(9442) =< aux(545) s(9443) =< aux(545) s(9444) =< aux(545) s(9445) =< aux(545) s(9446) =< aux(545) s(9447) =< aux(545) s(9429) =< aux(545) s(9428) =< aux(545) s(9429) =< aux(547) s(9428) =< aux(547) s(9448) =< aux(548) s(9449) =< aux(548) s(9450) =< aux(548) s(9438) =< aux(549) s(9449) =< aux(550) s(9451) =< aux(551) s(9439) =< aux(551) s(9440) =< aux(551) s(9442) =< aux(551) s(9443) =< aux(551) s(9445) =< aux(551) s(9446) =< aux(551) s(9429) =< aux(551) s(9450) =< aux(554) s(9452) =< aux(555) s(9453) =< aux(556) s(9444) =< aux(557) s(9445) =< aux(557) s(9446) =< aux(557) s(9429) =< aux(557) s(9443) =< aux(558) s(9445) =< aux(558) s(9440) =< aux(559) s(9454) =< aux(546)+3 s(9455) =< aux(546)+4 s(9456) =< aux(546)+5 s(9457) =< aux(546)+1 s(9458) =< aux(546)+2 s(9459) =< aux(546)-2 s(9451) =< aux(547)*(1/3)+aux(551) s(9439) =< aux(547)*(1/3)+aux(551) s(9440) =< aux(547)*(1/3)+aux(551) s(9441) =< aux(547)*(1/3)+aux(551) s(9442) =< aux(547)*(1/3)+aux(551) s(9443) =< aux(547)*(1/3)+aux(551) s(9444) =< aux(547)*(1/3)+aux(551) s(9445) =< aux(547)*(1/3)+aux(551) s(9447) =< aux(547)*(1/3)+aux(551) s(9429) =< aux(547)*(1/3)+aux(551) s(9446) =< aux(547)*(1/3)+aux(551) s(9443) =< aux(547)*(3/7)+aux(558) s(9444) =< aux(547)*(3/7)+aux(558) s(9445) =< aux(547)*(3/7)+aux(558) s(9446) =< aux(547)*(3/7)+aux(558) s(9447) =< aux(547)*(3/7)+aux(558) s(9444) =< aux(547)*(1/5)+aux(557) s(9445) =< aux(547)*(1/5)+aux(557) s(9446) =< aux(547)*(1/5)+aux(557) s(9447) =< aux(547)*(1/5)+aux(557) s(9429) =< aux(547)*(1/5)+aux(557) s(9440) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9441) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9442) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9443) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9444) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9445) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9446) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9447) =< aux(547)*(5/9)+s(9428)*(1/9)+aux(559) s(9438) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9439) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9440) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9441) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9442) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9443) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9444) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9445) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9446) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9447) =< aux(547)*(2/3)+s(9428)*(1/3)+aux(549) s(9450) =< aux(547)*(7/20)+s(9428)*(1/20)+aux(554) s(9436) =< aux(547)*(7/20)+s(9428)*(1/20)+aux(554) s(9449) =< aux(547)*(3/8)+s(9428)*(1/8)+aux(550) s(9450) =< aux(547)*(3/8)+s(9428)*(1/8)+aux(550) s(9436) =< aux(547)*(3/8)+s(9428)*(1/8)+aux(550) s(9448) =< aux(547)*(1/4)+aux(548) s(9449) =< aux(547)*(1/4)+aux(548) s(9450) =< aux(547)*(1/4)+aux(548) s(9436) =< aux(547)*(1/4)+aux(548) s(9452) =< aux(547)*(5/13)+s(9428)*(2/13)+aux(555) s(9448) =< aux(547)*(5/13)+s(9428)*(2/13)+aux(555) s(9449) =< aux(547)*(5/13)+s(9428)*(2/13)+aux(555) s(9450) =< aux(547)*(5/13)+s(9428)*(2/13)+aux(555) s(9436) =< aux(547)*(5/13)+s(9428)*(2/13)+aux(555) s(9460) =< s(9447)*s(9454) s(9461) =< s(9447)*s(9455) s(9462) =< s(9447)*s(9456) s(9463) =< s(9446)*s(9455) s(9464) =< s(9443)*s(9457) s(9465) =< s(9443)*s(9455) s(9466) =< s(9442)*s(9458) s(9467) =< s(9440)*s(9457) s(9468) =< s(9439)*s(9458) s(9469) =< s(9438)*s(9458) s(9453) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9452) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9448) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9449) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9450) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9436) =< aux(547)*(13/32)+s(9429)*(1/32)+s(9428)*(7/32)+aux(556) s(9470) =< s(9436)*s(9454) s(9471) =< s(9436)*s(9456) s(9472) =< s(9450)*s(9459) s(9473) =< s(9449)*s(9457) s(9474) =< s(9452)*s(9459) s(9475) =< s(9453)*aux(546) s(9476) =< s(9460) s(9477) =< s(9462) s(9461) =< s(9462) s(9478) =< s(9451) s(9479) =< s(9463) s(9480) =< s(9465) s(9481) =< s(9469) s(9482) =< s(9471) s(9483) =< s(9470) s(9483) =< s(9471) s(9484) =< s(9471) s(9484) =< s(9470) s(9485) =< s(9484) s(9486) =< s(9470) s(9487) =< s(9473) s(9488) =< s(9474) s(9489) =< s(9475) s(10055) =< aux(561) with precondition: [V15=2,Out=0,V1>=0,V>=0] * Chain [105]: 40*s(10237)+100*s(10238)+15*s(10239)+5*s(10240)+15*s(10241)+10*s(10242)+5*s(10243)+15*s(10244)+5*s(10245)+15*s(10246)+30*s(10247)+30*s(10248)+5*s(10249)+25*s(10250)+25*s(10251)+25*s(10253)+25*s(10254)+20*s(10262)+5*s(10265)+5*s(10267)+5*s(10268)+10*s(10269)+10*s(10273)+110*s(10277)+105*s(10278)+15*s(10279)+70*s(10280)+35*s(10281)+40*s(10282)+90*s(10283)+20*s(10284)+15*s(10286)+390*s(10287)+45*s(10288)+15*s(10289)+50*s(10290)+72*s(10306)+180*s(10307)+27*s(10308)+9*s(10309)+27*s(10310)+18*s(10311)+9*s(10312)+27*s(10313)+9*s(10314)+27*s(10315)+54*s(10316)+54*s(10317)+9*s(10318)+45*s(10319)+45*s(10320)+45*s(10322)+45*s(10323)+36*s(10331)+9*s(10334)+9*s(10336)+9*s(10337)+18*s(10338)+18*s(10342)+198*s(10346)+189*s(10347)+27*s(10348)+126*s(10349)+63*s(10350)+72*s(10351)+162*s(10352)+36*s(10353)+27*s(10355)+702*s(10356)+81*s(10357)+27*s(10358)+90*s(10359)+56*s(10375)+140*s(10376)+21*s(10377)+7*s(10378)+21*s(10379)+14*s(10380)+7*s(10381)+21*s(10382)+7*s(10383)+21*s(10384)+42*s(10385)+42*s(10386)+7*s(10387)+35*s(10388)+35*s(10389)+35*s(10391)+35*s(10392)+28*s(10400)+7*s(10403)+7*s(10405)+7*s(10406)+14*s(10407)+14*s(10411)+154*s(10415)+147*s(10416)+21*s(10417)+98*s(10418)+49*s(10419)+56*s(10420)+126*s(10421)+28*s(10422)+21*s(10424)+546*s(10425)+63*s(10426)+21*s(10427)+70*s(10428)+40*s(10636)+2*s(11409)+4*s(11621)+5 Such that:aux(582) =< 1 aux(583) =< V1 aux(584) =< 2*V1 aux(585) =< 2*V1+1 aux(586) =< V1/2 aux(587) =< V1/3 aux(588) =< V1/4 aux(589) =< 2/3*V1 aux(590) =< 2/3*V1+1/3 aux(591) =< 2/5*V1+1/5 aux(592) =< 3/10*V1 aux(593) =< 3/13*V1 aux(594) =< 3/16*V1 aux(595) =< 4/5*V1 aux(596) =< 4/7*V1 aux(597) =< 4/9*V1 aux(598) =< V aux(599) =< 2*V aux(600) =< 2*V+1 aux(601) =< V/2 aux(602) =< V/3 aux(603) =< V/4 aux(604) =< 2/3*V aux(605) =< 2/3*V+1/3 aux(606) =< 2/5*V+1/5 aux(607) =< 3/10*V aux(608) =< 3/13*V aux(609) =< 3/16*V aux(610) =< 4/5*V aux(611) =< 4/7*V aux(612) =< 4/9*V aux(613) =< V15 aux(614) =< 2*V15 aux(615) =< 2*V15+1 aux(616) =< V15/2 aux(617) =< V15/3 aux(618) =< V15/4 aux(619) =< 2/3*V15 aux(620) =< 2/3*V15+1/3 aux(621) =< 2/5*V15+1/5 aux(622) =< 3/10*V15 aux(623) =< 3/13*V15 aux(624) =< 3/16*V15 aux(625) =< 4/5*V15 aux(626) =< 4/7*V15 aux(627) =< 4/9*V15 s(11621) =< aux(582) s(10229) =< aux(590) s(10230) =< aux(591) s(10298) =< aux(605) s(10299) =< aux(606) s(10367) =< aux(620) s(10368) =< aux(621) s(10306) =< aux(598) s(10307) =< aux(598) s(10308) =< aux(598) s(10309) =< aux(598) s(10310) =< aux(598) s(10311) =< aux(598) s(10312) =< aux(598) s(10313) =< aux(598) s(10314) =< aux(598) s(10315) =< aux(598) s(10316) =< aux(598) s(10317) =< aux(598) s(10299) =< aux(598) s(10298) =< aux(598) s(10299) =< aux(600) s(10298) =< aux(600) s(10318) =< aux(601) s(10319) =< aux(601) s(10320) =< aux(601) s(10308) =< aux(602) s(10319) =< aux(603) s(10321) =< aux(604) s(10309) =< aux(604) s(10310) =< aux(604) s(10312) =< aux(604) s(10313) =< aux(604) s(10315) =< aux(604) s(10316) =< aux(604) s(10299) =< aux(604) s(10320) =< aux(607) s(10322) =< aux(608) s(10323) =< aux(609) s(10314) =< aux(610) s(10315) =< aux(610) s(10316) =< aux(610) s(10299) =< aux(610) s(10313) =< aux(611) s(10315) =< aux(611) s(10310) =< aux(612) s(10324) =< aux(599)+3 s(10325) =< aux(599)+4 s(10326) =< aux(599)+5 s(10327) =< aux(599)+1 s(10328) =< aux(599)+2 s(10329) =< aux(599)-2 s(10321) =< aux(600)*(1/3)+aux(604) s(10309) =< aux(600)*(1/3)+aux(604) s(10310) =< aux(600)*(1/3)+aux(604) s(10311) =< aux(600)*(1/3)+aux(604) s(10312) =< aux(600)*(1/3)+aux(604) s(10313) =< aux(600)*(1/3)+aux(604) s(10314) =< aux(600)*(1/3)+aux(604) s(10315) =< aux(600)*(1/3)+aux(604) s(10317) =< aux(600)*(1/3)+aux(604) s(10299) =< aux(600)*(1/3)+aux(604) s(10316) =< aux(600)*(1/3)+aux(604) s(10313) =< aux(600)*(3/7)+aux(611) s(10314) =< aux(600)*(3/7)+aux(611) s(10315) =< aux(600)*(3/7)+aux(611) s(10316) =< aux(600)*(3/7)+aux(611) s(10317) =< aux(600)*(3/7)+aux(611) s(10314) =< aux(600)*(1/5)+aux(610) s(10315) =< aux(600)*(1/5)+aux(610) s(10316) =< aux(600)*(1/5)+aux(610) s(10317) =< aux(600)*(1/5)+aux(610) s(10299) =< aux(600)*(1/5)+aux(610) s(10310) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10311) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10312) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10313) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10314) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10315) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10316) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10317) =< aux(600)*(5/9)+s(10298)*(1/9)+aux(612) s(10308) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10309) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10310) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10311) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10312) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10313) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10314) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10315) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10316) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10317) =< aux(600)*(2/3)+s(10298)*(1/3)+aux(602) s(10320) =< aux(600)*(7/20)+s(10298)*(1/20)+aux(607) s(10306) =< aux(600)*(7/20)+s(10298)*(1/20)+aux(607) s(10319) =< aux(600)*(3/8)+s(10298)*(1/8)+aux(603) s(10320) =< aux(600)*(3/8)+s(10298)*(1/8)+aux(603) s(10306) =< aux(600)*(3/8)+s(10298)*(1/8)+aux(603) s(10318) =< aux(600)*(1/4)+aux(601) s(10319) =< aux(600)*(1/4)+aux(601) s(10320) =< aux(600)*(1/4)+aux(601) s(10306) =< aux(600)*(1/4)+aux(601) s(10322) =< aux(600)*(5/13)+s(10298)*(2/13)+aux(608) s(10318) =< aux(600)*(5/13)+s(10298)*(2/13)+aux(608) s(10319) =< aux(600)*(5/13)+s(10298)*(2/13)+aux(608) s(10320) =< aux(600)*(5/13)+s(10298)*(2/13)+aux(608) s(10306) =< aux(600)*(5/13)+s(10298)*(2/13)+aux(608) s(10330) =< s(10317)*s(10324) s(10331) =< s(10317)*s(10325) s(10332) =< s(10317)*s(10326) s(10333) =< s(10316)*s(10325) s(10334) =< s(10313)*s(10327) s(10335) =< s(10313)*s(10325) s(10336) =< s(10312)*s(10328) s(10337) =< s(10310)*s(10327) s(10338) =< s(10309)*s(10328) s(10339) =< s(10308)*s(10328) s(10323) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10322) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10318) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10319) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10320) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10306) =< aux(600)*(13/32)+s(10299)*(1/32)+s(10298)*(7/32)+aux(609) s(10340) =< s(10306)*s(10324) s(10341) =< s(10306)*s(10326) s(10342) =< s(10320)*s(10329) s(10343) =< s(10319)*s(10327) s(10344) =< s(10322)*s(10329) s(10345) =< s(10323)*aux(599) s(10346) =< s(10330) s(10347) =< s(10332) s(10331) =< s(10332) s(10348) =< s(10321) s(10349) =< s(10333) s(10350) =< s(10335) s(10351) =< s(10339) s(10352) =< s(10341) s(10353) =< s(10340) s(10353) =< s(10341) s(10354) =< s(10341) s(10354) =< s(10340) s(10355) =< s(10354) s(10356) =< s(10340) s(10357) =< s(10343) s(10358) =< s(10344) s(10359) =< s(10345) s(10636) =< aux(599) s(10375) =< aux(613) s(10376) =< aux(613) s(10377) =< aux(613) s(10378) =< aux(613) s(10379) =< aux(613) s(10380) =< aux(613) s(10381) =< aux(613) s(10382) =< aux(613) s(10383) =< aux(613) s(10384) =< aux(613) s(10385) =< aux(613) s(10386) =< aux(613) s(10368) =< aux(613) s(10367) =< aux(613) s(10368) =< aux(615) s(10367) =< aux(615) s(10387) =< aux(616) s(10388) =< aux(616) s(10389) =< aux(616) s(10377) =< aux(617) s(10388) =< aux(618) s(10390) =< aux(619) s(10378) =< aux(619) s(10379) =< aux(619) s(10381) =< aux(619) s(10382) =< aux(619) s(10384) =< aux(619) s(10385) =< aux(619) s(10368) =< aux(619) s(10389) =< aux(622) s(10391) =< aux(623) s(10392) =< aux(624) s(10383) =< aux(625) s(10384) =< aux(625) s(10385) =< aux(625) s(10368) =< aux(625) s(10382) =< aux(626) s(10384) =< aux(626) s(10379) =< aux(627) s(10393) =< aux(614)+3 s(10394) =< aux(614)+4 s(10395) =< aux(614)+5 s(10396) =< aux(614)+1 s(10397) =< aux(614)+2 s(10398) =< aux(614)-2 s(10390) =< aux(615)*(1/3)+aux(619) s(10378) =< aux(615)*(1/3)+aux(619) s(10379) =< aux(615)*(1/3)+aux(619) s(10380) =< aux(615)*(1/3)+aux(619) s(10381) =< aux(615)*(1/3)+aux(619) s(10382) =< aux(615)*(1/3)+aux(619) s(10383) =< aux(615)*(1/3)+aux(619) s(10384) =< aux(615)*(1/3)+aux(619) s(10386) =< aux(615)*(1/3)+aux(619) s(10368) =< aux(615)*(1/3)+aux(619) s(10385) =< aux(615)*(1/3)+aux(619) s(10382) =< aux(615)*(3/7)+aux(626) s(10383) =< aux(615)*(3/7)+aux(626) s(10384) =< aux(615)*(3/7)+aux(626) s(10385) =< aux(615)*(3/7)+aux(626) s(10386) =< aux(615)*(3/7)+aux(626) s(10383) =< aux(615)*(1/5)+aux(625) s(10384) =< aux(615)*(1/5)+aux(625) s(10385) =< aux(615)*(1/5)+aux(625) s(10386) =< aux(615)*(1/5)+aux(625) s(10368) =< aux(615)*(1/5)+aux(625) s(10379) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10380) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10381) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10382) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10383) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10384) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10385) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10386) =< aux(615)*(5/9)+s(10367)*(1/9)+aux(627) s(10377) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10378) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10379) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10380) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10381) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10382) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10383) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10384) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10385) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10386) =< aux(615)*(2/3)+s(10367)*(1/3)+aux(617) s(10389) =< aux(615)*(7/20)+s(10367)*(1/20)+aux(622) s(10375) =< aux(615)*(7/20)+s(10367)*(1/20)+aux(622) s(10388) =< aux(615)*(3/8)+s(10367)*(1/8)+aux(618) s(10389) =< aux(615)*(3/8)+s(10367)*(1/8)+aux(618) s(10375) =< aux(615)*(3/8)+s(10367)*(1/8)+aux(618) s(10387) =< aux(615)*(1/4)+aux(616) s(10388) =< aux(615)*(1/4)+aux(616) s(10389) =< aux(615)*(1/4)+aux(616) s(10375) =< aux(615)*(1/4)+aux(616) s(10391) =< aux(615)*(5/13)+s(10367)*(2/13)+aux(623) s(10387) =< aux(615)*(5/13)+s(10367)*(2/13)+aux(623) s(10388) =< aux(615)*(5/13)+s(10367)*(2/13)+aux(623) s(10389) =< aux(615)*(5/13)+s(10367)*(2/13)+aux(623) s(10375) =< aux(615)*(5/13)+s(10367)*(2/13)+aux(623) s(10399) =< s(10386)*s(10393) s(10400) =< s(10386)*s(10394) s(10401) =< s(10386)*s(10395) s(10402) =< s(10385)*s(10394) s(10403) =< s(10382)*s(10396) s(10404) =< s(10382)*s(10394) s(10405) =< s(10381)*s(10397) s(10406) =< s(10379)*s(10396) s(10407) =< s(10378)*s(10397) s(10408) =< s(10377)*s(10397) s(10392) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10391) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10387) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10388) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10389) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10375) =< aux(615)*(13/32)+s(10368)*(1/32)+s(10367)*(7/32)+aux(624) s(10409) =< s(10375)*s(10393) s(10410) =< s(10375)*s(10395) s(10411) =< s(10389)*s(10398) s(10412) =< s(10388)*s(10396) s(10413) =< s(10391)*s(10398) s(10414) =< s(10392)*aux(614) s(10415) =< s(10399) s(10416) =< s(10401) s(10400) =< s(10401) s(10417) =< s(10390) s(10418) =< s(10402) s(10419) =< s(10404) s(10420) =< s(10408) s(10421) =< s(10410) s(10422) =< s(10409) s(10422) =< s(10410) s(10423) =< s(10410) s(10423) =< s(10409) s(10424) =< s(10423) s(10425) =< s(10409) s(10426) =< s(10412) s(10427) =< s(10413) s(10428) =< s(10414) s(10237) =< aux(583) s(10238) =< aux(583) s(10239) =< aux(583) s(10240) =< aux(583) s(10241) =< aux(583) s(10242) =< aux(583) s(10243) =< aux(583) s(10244) =< aux(583) s(10245) =< aux(583) s(10246) =< aux(583) s(10247) =< aux(583) s(10248) =< aux(583) s(10230) =< aux(583) s(10229) =< aux(583) s(10230) =< aux(585) s(10229) =< aux(585) s(10249) =< aux(586) s(10250) =< aux(586) s(10251) =< aux(586) s(10239) =< aux(587) s(10250) =< aux(588) s(10252) =< aux(589) s(10240) =< aux(589) s(10241) =< aux(589) s(10243) =< aux(589) s(10244) =< aux(589) s(10246) =< aux(589) s(10247) =< aux(589) s(10230) =< aux(589) s(10251) =< aux(592) s(10253) =< aux(593) s(10254) =< aux(594) s(10245) =< aux(595) s(10246) =< aux(595) s(10247) =< aux(595) s(10230) =< aux(595) s(10244) =< aux(596) s(10246) =< aux(596) s(10241) =< aux(597) s(10255) =< aux(584)+3 s(10256) =< aux(584)+4 s(10257) =< aux(584)+5 s(10258) =< aux(584)+1 s(10259) =< aux(584)+2 s(10260) =< aux(584)-2 s(10252) =< aux(585)*(1/3)+aux(589) s(10240) =< aux(585)*(1/3)+aux(589) s(10241) =< aux(585)*(1/3)+aux(589) s(10242) =< aux(585)*(1/3)+aux(589) s(10243) =< aux(585)*(1/3)+aux(589) s(10244) =< aux(585)*(1/3)+aux(589) s(10245) =< aux(585)*(1/3)+aux(589) s(10246) =< aux(585)*(1/3)+aux(589) s(10248) =< aux(585)*(1/3)+aux(589) s(10230) =< aux(585)*(1/3)+aux(589) s(10247) =< aux(585)*(1/3)+aux(589) s(10244) =< aux(585)*(3/7)+aux(596) s(10245) =< aux(585)*(3/7)+aux(596) s(10246) =< aux(585)*(3/7)+aux(596) s(10247) =< aux(585)*(3/7)+aux(596) s(10248) =< aux(585)*(3/7)+aux(596) s(10245) =< aux(585)*(1/5)+aux(595) s(10246) =< aux(585)*(1/5)+aux(595) s(10247) =< aux(585)*(1/5)+aux(595) s(10248) =< aux(585)*(1/5)+aux(595) s(10230) =< aux(585)*(1/5)+aux(595) s(10241) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10242) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10243) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10244) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10245) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10246) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10247) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10248) =< aux(585)*(5/9)+s(10229)*(1/9)+aux(597) s(10239) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10240) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10241) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10242) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10243) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10244) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10245) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10246) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10247) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10248) =< aux(585)*(2/3)+s(10229)*(1/3)+aux(587) s(10251) =< aux(585)*(7/20)+s(10229)*(1/20)+aux(592) s(10237) =< aux(585)*(7/20)+s(10229)*(1/20)+aux(592) s(10250) =< aux(585)*(3/8)+s(10229)*(1/8)+aux(588) s(10251) =< aux(585)*(3/8)+s(10229)*(1/8)+aux(588) s(10237) =< aux(585)*(3/8)+s(10229)*(1/8)+aux(588) s(10249) =< aux(585)*(1/4)+aux(586) s(10250) =< aux(585)*(1/4)+aux(586) s(10251) =< aux(585)*(1/4)+aux(586) s(10237) =< aux(585)*(1/4)+aux(586) s(10253) =< aux(585)*(5/13)+s(10229)*(2/13)+aux(593) s(10249) =< aux(585)*(5/13)+s(10229)*(2/13)+aux(593) s(10250) =< aux(585)*(5/13)+s(10229)*(2/13)+aux(593) s(10251) =< aux(585)*(5/13)+s(10229)*(2/13)+aux(593) s(10237) =< aux(585)*(5/13)+s(10229)*(2/13)+aux(593) s(10261) =< s(10248)*s(10255) s(10262) =< s(10248)*s(10256) s(10263) =< s(10248)*s(10257) s(10264) =< s(10247)*s(10256) s(10265) =< s(10244)*s(10258) s(10266) =< s(10244)*s(10256) s(10267) =< s(10243)*s(10259) s(10268) =< s(10241)*s(10258) s(10269) =< s(10240)*s(10259) s(10270) =< s(10239)*s(10259) s(10254) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10253) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10249) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10250) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10251) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10237) =< aux(585)*(13/32)+s(10230)*(1/32)+s(10229)*(7/32)+aux(594) s(10271) =< s(10237)*s(10255) s(10272) =< s(10237)*s(10257) s(10273) =< s(10251)*s(10260) s(10274) =< s(10250)*s(10258) s(10275) =< s(10253)*s(10260) s(10276) =< s(10254)*aux(584) s(10277) =< s(10261) s(10278) =< s(10263) s(10262) =< s(10263) s(10279) =< s(10252) s(10280) =< s(10264) s(10281) =< s(10266) s(10282) =< s(10270) s(10283) =< s(10272) s(10284) =< s(10271) s(10284) =< s(10272) s(10285) =< s(10272) s(10285) =< s(10271) s(10286) =< s(10285) s(10287) =< s(10271) s(10288) =< s(10274) s(10289) =< s(10275) s(10290) =< s(10276) s(11409) =< aux(614) with precondition: [V1>=1,V>=1,V15>=1,Out>=1,2*V>=Out] * Chain [104]: 16*s(11710)+40*s(11711)+6*s(11712)+2*s(11713)+6*s(11714)+4*s(11715)+2*s(11716)+6*s(11717)+2*s(11718)+6*s(11719)+12*s(11720)+12*s(11721)+2*s(11722)+10*s(11723)+10*s(11724)+10*s(11726)+10*s(11727)+8*s(11735)+2*s(11738)+2*s(11740)+2*s(11741)+4*s(11742)+4*s(11746)+44*s(11750)+42*s(11751)+6*s(11752)+28*s(11753)+14*s(11754)+16*s(11755)+36*s(11756)+8*s(11757)+6*s(11759)+156*s(11760)+18*s(11761)+6*s(11762)+20*s(11763)+16*s(11779)+40*s(11780)+6*s(11781)+2*s(11782)+6*s(11783)+4*s(11784)+2*s(11785)+6*s(11786)+2*s(11787)+6*s(11788)+12*s(11789)+12*s(11790)+2*s(11791)+10*s(11792)+10*s(11793)+10*s(11795)+10*s(11796)+8*s(11804)+2*s(11807)+2*s(11809)+2*s(11810)+4*s(11811)+4*s(11815)+44*s(11819)+42*s(11820)+6*s(11821)+28*s(11822)+14*s(11823)+16*s(11824)+36*s(11825)+8*s(11826)+6*s(11828)+156*s(11829)+18*s(11830)+6*s(11831)+20*s(11832)+13*s(11833)+5 Such that:aux(630) =< V aux(631) =< 2*V aux(632) =< 2*V+1 aux(633) =< V/2 aux(634) =< V/3 aux(635) =< V/4 aux(636) =< 2/3*V aux(637) =< 2/3*V+1/3 aux(638) =< 2/5*V+1/5 aux(639) =< 3/10*V aux(640) =< 3/13*V aux(641) =< 3/16*V aux(642) =< 4/5*V aux(643) =< 4/7*V aux(644) =< 4/9*V aux(645) =< V15 aux(646) =< 2*V15 aux(647) =< 2*V15+1 aux(648) =< V15/2 aux(649) =< V15/3 aux(650) =< V15/4 aux(651) =< 2/3*V15 aux(652) =< 2/3*V15+1/3 aux(653) =< 2/5*V15+1/5 aux(654) =< 3/10*V15 aux(655) =< 3/13*V15 aux(656) =< 3/16*V15 aux(657) =< 4/5*V15 aux(658) =< 4/7*V15 aux(659) =< 4/9*V15 s(11702) =< aux(637) s(11703) =< aux(638) s(11771) =< aux(652) s(11772) =< aux(653) s(11833) =< aux(631) s(11779) =< aux(645) s(11780) =< aux(645) s(11781) =< aux(645) s(11782) =< aux(645) s(11783) =< aux(645) s(11784) =< aux(645) s(11785) =< aux(645) s(11786) =< aux(645) s(11787) =< aux(645) s(11788) =< aux(645) s(11789) =< aux(645) s(11790) =< aux(645) s(11772) =< aux(645) s(11771) =< aux(645) s(11772) =< aux(647) s(11771) =< aux(647) s(11791) =< aux(648) s(11792) =< aux(648) s(11793) =< aux(648) s(11781) =< aux(649) s(11792) =< aux(650) s(11794) =< aux(651) s(11782) =< aux(651) s(11783) =< aux(651) s(11785) =< aux(651) s(11786) =< aux(651) s(11788) =< aux(651) s(11789) =< aux(651) s(11772) =< aux(651) s(11793) =< aux(654) s(11795) =< aux(655) s(11796) =< aux(656) s(11787) =< aux(657) s(11788) =< aux(657) s(11789) =< aux(657) s(11772) =< aux(657) s(11786) =< aux(658) s(11788) =< aux(658) s(11783) =< aux(659) s(11797) =< aux(646)+3 s(11798) =< aux(646)+4 s(11799) =< aux(646)+5 s(11800) =< aux(646)+1 s(11801) =< aux(646)+2 s(11802) =< aux(646)-2 s(11794) =< aux(647)*(1/3)+aux(651) s(11782) =< aux(647)*(1/3)+aux(651) s(11783) =< aux(647)*(1/3)+aux(651) s(11784) =< aux(647)*(1/3)+aux(651) s(11785) =< aux(647)*(1/3)+aux(651) s(11786) =< aux(647)*(1/3)+aux(651) s(11787) =< aux(647)*(1/3)+aux(651) s(11788) =< aux(647)*(1/3)+aux(651) s(11790) =< aux(647)*(1/3)+aux(651) s(11772) =< aux(647)*(1/3)+aux(651) s(11789) =< aux(647)*(1/3)+aux(651) s(11786) =< aux(647)*(3/7)+aux(658) s(11787) =< aux(647)*(3/7)+aux(658) s(11788) =< aux(647)*(3/7)+aux(658) s(11789) =< aux(647)*(3/7)+aux(658) s(11790) =< aux(647)*(3/7)+aux(658) s(11787) =< aux(647)*(1/5)+aux(657) s(11788) =< aux(647)*(1/5)+aux(657) s(11789) =< aux(647)*(1/5)+aux(657) s(11790) =< aux(647)*(1/5)+aux(657) s(11772) =< aux(647)*(1/5)+aux(657) s(11783) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11784) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11785) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11786) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11787) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11788) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11789) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11790) =< aux(647)*(5/9)+s(11771)*(1/9)+aux(659) s(11781) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11782) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11783) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11784) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11785) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11786) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11787) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11788) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11789) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11790) =< aux(647)*(2/3)+s(11771)*(1/3)+aux(649) s(11793) =< aux(647)*(7/20)+s(11771)*(1/20)+aux(654) s(11779) =< aux(647)*(7/20)+s(11771)*(1/20)+aux(654) s(11792) =< aux(647)*(3/8)+s(11771)*(1/8)+aux(650) s(11793) =< aux(647)*(3/8)+s(11771)*(1/8)+aux(650) s(11779) =< aux(647)*(3/8)+s(11771)*(1/8)+aux(650) s(11791) =< aux(647)*(1/4)+aux(648) s(11792) =< aux(647)*(1/4)+aux(648) s(11793) =< aux(647)*(1/4)+aux(648) s(11779) =< aux(647)*(1/4)+aux(648) s(11795) =< aux(647)*(5/13)+s(11771)*(2/13)+aux(655) s(11791) =< aux(647)*(5/13)+s(11771)*(2/13)+aux(655) s(11792) =< aux(647)*(5/13)+s(11771)*(2/13)+aux(655) s(11793) =< aux(647)*(5/13)+s(11771)*(2/13)+aux(655) s(11779) =< aux(647)*(5/13)+s(11771)*(2/13)+aux(655) s(11803) =< s(11790)*s(11797) s(11804) =< s(11790)*s(11798) s(11805) =< s(11790)*s(11799) s(11806) =< s(11789)*s(11798) s(11807) =< s(11786)*s(11800) s(11808) =< s(11786)*s(11798) s(11809) =< s(11785)*s(11801) s(11810) =< s(11783)*s(11800) s(11811) =< s(11782)*s(11801) s(11812) =< s(11781)*s(11801) s(11796) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11795) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11791) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11792) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11793) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11779) =< aux(647)*(13/32)+s(11772)*(1/32)+s(11771)*(7/32)+aux(656) s(11813) =< s(11779)*s(11797) s(11814) =< s(11779)*s(11799) s(11815) =< s(11793)*s(11802) s(11816) =< s(11792)*s(11800) s(11817) =< s(11795)*s(11802) s(11818) =< s(11796)*aux(646) s(11819) =< s(11803) s(11820) =< s(11805) s(11804) =< s(11805) s(11821) =< s(11794) s(11822) =< s(11806) s(11823) =< s(11808) s(11824) =< s(11812) s(11825) =< s(11814) s(11826) =< s(11813) s(11826) =< s(11814) s(11827) =< s(11814) s(11827) =< s(11813) s(11828) =< s(11827) s(11829) =< s(11813) s(11830) =< s(11816) s(11831) =< s(11817) s(11832) =< s(11818) s(11710) =< aux(630) s(11711) =< aux(630) s(11712) =< aux(630) s(11713) =< aux(630) s(11714) =< aux(630) s(11715) =< aux(630) s(11716) =< aux(630) s(11717) =< aux(630) s(11718) =< aux(630) s(11719) =< aux(630) s(11720) =< aux(630) s(11721) =< aux(630) s(11703) =< aux(630) s(11702) =< aux(630) s(11703) =< aux(632) s(11702) =< aux(632) s(11722) =< aux(633) s(11723) =< aux(633) s(11724) =< aux(633) s(11712) =< aux(634) s(11723) =< aux(635) s(11725) =< aux(636) s(11713) =< aux(636) s(11714) =< aux(636) s(11716) =< aux(636) s(11717) =< aux(636) s(11719) =< aux(636) s(11720) =< aux(636) s(11703) =< aux(636) s(11724) =< aux(639) s(11726) =< aux(640) s(11727) =< aux(641) s(11718) =< aux(642) s(11719) =< aux(642) s(11720) =< aux(642) s(11703) =< aux(642) s(11717) =< aux(643) s(11719) =< aux(643) s(11714) =< aux(644) s(11728) =< aux(631)+3 s(11729) =< aux(631)+4 s(11730) =< aux(631)+5 s(11731) =< aux(631)+1 s(11732) =< aux(631)+2 s(11733) =< aux(631)-2 s(11725) =< aux(632)*(1/3)+aux(636) s(11713) =< aux(632)*(1/3)+aux(636) s(11714) =< aux(632)*(1/3)+aux(636) s(11715) =< aux(632)*(1/3)+aux(636) s(11716) =< aux(632)*(1/3)+aux(636) s(11717) =< aux(632)*(1/3)+aux(636) s(11718) =< aux(632)*(1/3)+aux(636) s(11719) =< aux(632)*(1/3)+aux(636) s(11721) =< aux(632)*(1/3)+aux(636) s(11703) =< aux(632)*(1/3)+aux(636) s(11720) =< aux(632)*(1/3)+aux(636) s(11717) =< aux(632)*(3/7)+aux(643) s(11718) =< aux(632)*(3/7)+aux(643) s(11719) =< aux(632)*(3/7)+aux(643) s(11720) =< aux(632)*(3/7)+aux(643) s(11721) =< aux(632)*(3/7)+aux(643) s(11718) =< aux(632)*(1/5)+aux(642) s(11719) =< aux(632)*(1/5)+aux(642) s(11720) =< aux(632)*(1/5)+aux(642) s(11721) =< aux(632)*(1/5)+aux(642) s(11703) =< aux(632)*(1/5)+aux(642) s(11714) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11715) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11716) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11717) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11718) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11719) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11720) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11721) =< aux(632)*(5/9)+s(11702)*(1/9)+aux(644) s(11712) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11713) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11714) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11715) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11716) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11717) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11718) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11719) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11720) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11721) =< aux(632)*(2/3)+s(11702)*(1/3)+aux(634) s(11724) =< aux(632)*(7/20)+s(11702)*(1/20)+aux(639) s(11710) =< aux(632)*(7/20)+s(11702)*(1/20)+aux(639) s(11723) =< aux(632)*(3/8)+s(11702)*(1/8)+aux(635) s(11724) =< aux(632)*(3/8)+s(11702)*(1/8)+aux(635) s(11710) =< aux(632)*(3/8)+s(11702)*(1/8)+aux(635) s(11722) =< aux(632)*(1/4)+aux(633) s(11723) =< aux(632)*(1/4)+aux(633) s(11724) =< aux(632)*(1/4)+aux(633) s(11710) =< aux(632)*(1/4)+aux(633) s(11726) =< aux(632)*(5/13)+s(11702)*(2/13)+aux(640) s(11722) =< aux(632)*(5/13)+s(11702)*(2/13)+aux(640) s(11723) =< aux(632)*(5/13)+s(11702)*(2/13)+aux(640) s(11724) =< aux(632)*(5/13)+s(11702)*(2/13)+aux(640) s(11710) =< aux(632)*(5/13)+s(11702)*(2/13)+aux(640) s(11734) =< s(11721)*s(11728) s(11735) =< s(11721)*s(11729) s(11736) =< s(11721)*s(11730) s(11737) =< s(11720)*s(11729) s(11738) =< s(11717)*s(11731) s(11739) =< s(11717)*s(11729) s(11740) =< s(11716)*s(11732) s(11741) =< s(11714)*s(11731) s(11742) =< s(11713)*s(11732) s(11743) =< s(11712)*s(11732) s(11727) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11726) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11722) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11723) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11724) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11710) =< aux(632)*(13/32)+s(11703)*(1/32)+s(11702)*(7/32)+aux(641) s(11744) =< s(11710)*s(11728) s(11745) =< s(11710)*s(11730) s(11746) =< s(11724)*s(11733) s(11747) =< s(11723)*s(11731) s(11748) =< s(11726)*s(11733) s(11749) =< s(11727)*aux(631) s(11750) =< s(11734) s(11751) =< s(11736) s(11735) =< s(11736) s(11752) =< s(11725) s(11753) =< s(11737) s(11754) =< s(11739) s(11755) =< s(11743) s(11756) =< s(11745) s(11757) =< s(11744) s(11757) =< s(11745) s(11758) =< s(11745) s(11758) =< s(11744) s(11759) =< s(11758) s(11760) =< s(11744) s(11761) =< s(11747) s(11762) =< s(11748) s(11763) =< s(11749) with precondition: [V1=2,Out>=2,2*V>=2*Out+1,2*V15>=Out+1] * Chain [103]: 72*s(11995)+180*s(11996)+27*s(11997)+9*s(11998)+27*s(11999)+18*s(12000)+9*s(12001)+27*s(12002)+9*s(12003)+27*s(12004)+54*s(12005)+54*s(12006)+9*s(12007)+45*s(12008)+45*s(12009)+45*s(12011)+45*s(12012)+36*s(12020)+9*s(12023)+9*s(12025)+9*s(12026)+18*s(12027)+18*s(12031)+198*s(12035)+189*s(12036)+27*s(12037)+126*s(12038)+63*s(12039)+72*s(12040)+162*s(12041)+36*s(12042)+27*s(12044)+702*s(12045)+81*s(12046)+27*s(12047)+90*s(12048)+48*s(12064)+120*s(12065)+18*s(12066)+6*s(12067)+18*s(12068)+12*s(12069)+6*s(12070)+18*s(12071)+6*s(12072)+18*s(12073)+36*s(12074)+36*s(12075)+6*s(12076)+30*s(12077)+30*s(12078)+30*s(12080)+30*s(12081)+24*s(12089)+6*s(12092)+6*s(12094)+6*s(12095)+12*s(12096)+12*s(12100)+132*s(12104)+126*s(12105)+18*s(12106)+84*s(12107)+42*s(12108)+48*s(12109)+108*s(12110)+24*s(12111)+18*s(12113)+468*s(12114)+54*s(12115)+18*s(12116)+60*s(12117)+60*s(12464)+21*s(12753)+48*s(12906)+8 Such that:aux(667) =< 1 aux(668) =< 2 aux(669) =< V1 aux(670) =< 2*V1 aux(671) =< 2*V1+1 aux(672) =< V1/2 aux(673) =< V1/3 aux(674) =< V1/4 aux(675) =< 2/3*V1 aux(676) =< 2/3*V1+1/3 aux(677) =< 2/5*V1+1/5 aux(678) =< 3/10*V1 aux(679) =< 3/13*V1 aux(680) =< 3/16*V1 aux(681) =< 4/5*V1 aux(682) =< 4/7*V1 aux(683) =< 4/9*V1 aux(684) =< V15 aux(685) =< 2*V15 aux(686) =< 2*V15+1 aux(687) =< V15/2 aux(688) =< V15/3 aux(689) =< V15/4 aux(690) =< 2/3*V15 aux(691) =< 2/3*V15+1/3 aux(692) =< 2/5*V15+1/5 aux(693) =< 3/10*V15 aux(694) =< 3/13*V15 aux(695) =< 3/16*V15 aux(696) =< 4/5*V15 aux(697) =< 4/7*V15 aux(698) =< 4/9*V15 s(12464) =< aux(667) s(11987) =< aux(676) s(11988) =< aux(677) s(12056) =< aux(691) s(12057) =< aux(692) s(12906) =< aux(668) s(12064) =< aux(684) s(12065) =< aux(684) s(12066) =< aux(684) s(12067) =< aux(684) s(12068) =< aux(684) s(12069) =< aux(684) s(12070) =< aux(684) s(12071) =< aux(684) s(12072) =< aux(684) s(12073) =< aux(684) s(12074) =< aux(684) s(12075) =< aux(684) s(12057) =< aux(684) s(12056) =< aux(684) s(12057) =< aux(686) s(12056) =< aux(686) s(12076) =< aux(687) s(12077) =< aux(687) s(12078) =< aux(687) s(12066) =< aux(688) s(12077) =< aux(689) s(12079) =< aux(690) s(12067) =< aux(690) s(12068) =< aux(690) s(12070) =< aux(690) s(12071) =< aux(690) s(12073) =< aux(690) s(12074) =< aux(690) s(12057) =< aux(690) s(12078) =< aux(693) s(12080) =< aux(694) s(12081) =< aux(695) s(12072) =< aux(696) s(12073) =< aux(696) s(12074) =< aux(696) s(12057) =< aux(696) s(12071) =< aux(697) s(12073) =< aux(697) s(12068) =< aux(698) s(12082) =< aux(685)+3 s(12083) =< aux(685)+4 s(12084) =< aux(685)+5 s(12085) =< aux(685)+1 s(12086) =< aux(685)+2 s(12087) =< aux(685)-2 s(12079) =< aux(686)*(1/3)+aux(690) s(12067) =< aux(686)*(1/3)+aux(690) s(12068) =< aux(686)*(1/3)+aux(690) s(12069) =< aux(686)*(1/3)+aux(690) s(12070) =< aux(686)*(1/3)+aux(690) s(12071) =< aux(686)*(1/3)+aux(690) s(12072) =< aux(686)*(1/3)+aux(690) s(12073) =< aux(686)*(1/3)+aux(690) s(12075) =< aux(686)*(1/3)+aux(690) s(12057) =< aux(686)*(1/3)+aux(690) s(12074) =< aux(686)*(1/3)+aux(690) s(12071) =< aux(686)*(3/7)+aux(697) s(12072) =< aux(686)*(3/7)+aux(697) s(12073) =< aux(686)*(3/7)+aux(697) s(12074) =< aux(686)*(3/7)+aux(697) s(12075) =< aux(686)*(3/7)+aux(697) s(12072) =< aux(686)*(1/5)+aux(696) s(12073) =< aux(686)*(1/5)+aux(696) s(12074) =< aux(686)*(1/5)+aux(696) s(12075) =< aux(686)*(1/5)+aux(696) s(12057) =< aux(686)*(1/5)+aux(696) s(12068) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12069) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12070) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12071) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12072) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12073) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12074) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12075) =< aux(686)*(5/9)+s(12056)*(1/9)+aux(698) s(12066) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12067) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12068) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12069) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12070) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12071) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12072) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12073) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12074) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12075) =< aux(686)*(2/3)+s(12056)*(1/3)+aux(688) s(12078) =< aux(686)*(7/20)+s(12056)*(1/20)+aux(693) s(12064) =< aux(686)*(7/20)+s(12056)*(1/20)+aux(693) s(12077) =< aux(686)*(3/8)+s(12056)*(1/8)+aux(689) s(12078) =< aux(686)*(3/8)+s(12056)*(1/8)+aux(689) s(12064) =< aux(686)*(3/8)+s(12056)*(1/8)+aux(689) s(12076) =< aux(686)*(1/4)+aux(687) s(12077) =< aux(686)*(1/4)+aux(687) s(12078) =< aux(686)*(1/4)+aux(687) s(12064) =< aux(686)*(1/4)+aux(687) s(12080) =< aux(686)*(5/13)+s(12056)*(2/13)+aux(694) s(12076) =< aux(686)*(5/13)+s(12056)*(2/13)+aux(694) s(12077) =< aux(686)*(5/13)+s(12056)*(2/13)+aux(694) s(12078) =< aux(686)*(5/13)+s(12056)*(2/13)+aux(694) s(12064) =< aux(686)*(5/13)+s(12056)*(2/13)+aux(694) s(12088) =< s(12075)*s(12082) s(12089) =< s(12075)*s(12083) s(12090) =< s(12075)*s(12084) s(12091) =< s(12074)*s(12083) s(12092) =< s(12071)*s(12085) s(12093) =< s(12071)*s(12083) s(12094) =< s(12070)*s(12086) s(12095) =< s(12068)*s(12085) s(12096) =< s(12067)*s(12086) s(12097) =< s(12066)*s(12086) s(12081) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12080) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12076) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12077) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12078) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12064) =< aux(686)*(13/32)+s(12057)*(1/32)+s(12056)*(7/32)+aux(695) s(12098) =< s(12064)*s(12082) s(12099) =< s(12064)*s(12084) s(12100) =< s(12078)*s(12087) s(12101) =< s(12077)*s(12085) s(12102) =< s(12080)*s(12087) s(12103) =< s(12081)*aux(685) s(12104) =< s(12088) s(12105) =< s(12090) s(12089) =< s(12090) s(12106) =< s(12079) s(12107) =< s(12091) s(12108) =< s(12093) s(12109) =< s(12097) s(12110) =< s(12099) s(12111) =< s(12098) s(12111) =< s(12099) s(12112) =< s(12099) s(12112) =< s(12098) s(12113) =< s(12112) s(12114) =< s(12098) s(12115) =< s(12101) s(12116) =< s(12102) s(12117) =< s(12103) s(11995) =< aux(669) s(11996) =< aux(669) s(11997) =< aux(669) s(11998) =< aux(669) s(11999) =< aux(669) s(12000) =< aux(669) s(12001) =< aux(669) s(12002) =< aux(669) s(12003) =< aux(669) s(12004) =< aux(669) s(12005) =< aux(669) s(12006) =< aux(669) s(11988) =< aux(669) s(11987) =< aux(669) s(11988) =< aux(671) s(11987) =< aux(671) s(12007) =< aux(672) s(12008) =< aux(672) s(12009) =< aux(672) s(11997) =< aux(673) s(12008) =< aux(674) s(12010) =< aux(675) s(11998) =< aux(675) s(11999) =< aux(675) s(12001) =< aux(675) s(12002) =< aux(675) s(12004) =< aux(675) s(12005) =< aux(675) s(11988) =< aux(675) s(12009) =< aux(678) s(12011) =< aux(679) s(12012) =< aux(680) s(12003) =< aux(681) s(12004) =< aux(681) s(12005) =< aux(681) s(11988) =< aux(681) s(12002) =< aux(682) s(12004) =< aux(682) s(11999) =< aux(683) s(12013) =< aux(670)+3 s(12014) =< aux(670)+4 s(12015) =< aux(670)+5 s(12016) =< aux(670)+1 s(12017) =< aux(670)+2 s(12018) =< aux(670)-2 s(12010) =< aux(671)*(1/3)+aux(675) s(11998) =< aux(671)*(1/3)+aux(675) s(11999) =< aux(671)*(1/3)+aux(675) s(12000) =< aux(671)*(1/3)+aux(675) s(12001) =< aux(671)*(1/3)+aux(675) s(12002) =< aux(671)*(1/3)+aux(675) s(12003) =< aux(671)*(1/3)+aux(675) s(12004) =< aux(671)*(1/3)+aux(675) s(12006) =< aux(671)*(1/3)+aux(675) s(11988) =< aux(671)*(1/3)+aux(675) s(12005) =< aux(671)*(1/3)+aux(675) s(12002) =< aux(671)*(3/7)+aux(682) s(12003) =< aux(671)*(3/7)+aux(682) s(12004) =< aux(671)*(3/7)+aux(682) s(12005) =< aux(671)*(3/7)+aux(682) s(12006) =< aux(671)*(3/7)+aux(682) s(12003) =< aux(671)*(1/5)+aux(681) s(12004) =< aux(671)*(1/5)+aux(681) s(12005) =< aux(671)*(1/5)+aux(681) s(12006) =< aux(671)*(1/5)+aux(681) s(11988) =< aux(671)*(1/5)+aux(681) s(11999) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12000) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12001) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12002) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12003) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12004) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12005) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(12006) =< aux(671)*(5/9)+s(11987)*(1/9)+aux(683) s(11997) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(11998) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(11999) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12000) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12001) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12002) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12003) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12004) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12005) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12006) =< aux(671)*(2/3)+s(11987)*(1/3)+aux(673) s(12009) =< aux(671)*(7/20)+s(11987)*(1/20)+aux(678) s(11995) =< aux(671)*(7/20)+s(11987)*(1/20)+aux(678) s(12008) =< aux(671)*(3/8)+s(11987)*(1/8)+aux(674) s(12009) =< aux(671)*(3/8)+s(11987)*(1/8)+aux(674) s(11995) =< aux(671)*(3/8)+s(11987)*(1/8)+aux(674) s(12007) =< aux(671)*(1/4)+aux(672) s(12008) =< aux(671)*(1/4)+aux(672) s(12009) =< aux(671)*(1/4)+aux(672) s(11995) =< aux(671)*(1/4)+aux(672) s(12011) =< aux(671)*(5/13)+s(11987)*(2/13)+aux(679) s(12007) =< aux(671)*(5/13)+s(11987)*(2/13)+aux(679) s(12008) =< aux(671)*(5/13)+s(11987)*(2/13)+aux(679) s(12009) =< aux(671)*(5/13)+s(11987)*(2/13)+aux(679) s(11995) =< aux(671)*(5/13)+s(11987)*(2/13)+aux(679) s(12019) =< s(12006)*s(12013) s(12020) =< s(12006)*s(12014) s(12021) =< s(12006)*s(12015) s(12022) =< s(12005)*s(12014) s(12023) =< s(12002)*s(12016) s(12024) =< s(12002)*s(12014) s(12025) =< s(12001)*s(12017) s(12026) =< s(11999)*s(12016) s(12027) =< s(11998)*s(12017) s(12028) =< s(11997)*s(12017) s(12012) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(12011) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(12007) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(12008) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(12009) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(11995) =< aux(671)*(13/32)+s(11988)*(1/32)+s(11987)*(7/32)+aux(680) s(12029) =< s(11995)*s(12013) s(12030) =< s(11995)*s(12015) s(12031) =< s(12009)*s(12018) s(12032) =< s(12008)*s(12016) s(12033) =< s(12011)*s(12018) s(12034) =< s(12012)*aux(670) s(12035) =< s(12019) s(12036) =< s(12021) s(12020) =< s(12021) s(12037) =< s(12010) s(12038) =< s(12022) s(12039) =< s(12024) s(12040) =< s(12028) s(12041) =< s(12030) s(12042) =< s(12029) s(12042) =< s(12030) s(12043) =< s(12030) s(12043) =< s(12029) s(12044) =< s(12043) s(12045) =< s(12029) s(12046) =< s(12032) s(12047) =< s(12033) s(12048) =< s(12034) s(12753) =< aux(685) with precondition: [V=2,Out=0,V1>=0,V15>=0] * Chain [102]: 16*s(13085)+40*s(13086)+6*s(13087)+2*s(13088)+6*s(13089)+4*s(13090)+2*s(13091)+6*s(13092)+2*s(13093)+6*s(13094)+12*s(13095)+12*s(13096)+2*s(13097)+10*s(13098)+10*s(13099)+10*s(13101)+10*s(13102)+8*s(13110)+2*s(13113)+2*s(13115)+2*s(13116)+4*s(13117)+4*s(13121)+44*s(13125)+42*s(13126)+6*s(13127)+28*s(13128)+14*s(13129)+16*s(13130)+36*s(13131)+8*s(13132)+6*s(13134)+156*s(13135)+18*s(13136)+6*s(13137)+20*s(13138)+8*s(13154)+20*s(13155)+3*s(13156)+1*s(13157)+3*s(13158)+2*s(13159)+1*s(13160)+3*s(13161)+1*s(13162)+3*s(13163)+6*s(13164)+6*s(13165)+1*s(13166)+5*s(13167)+5*s(13168)+5*s(13170)+5*s(13171)+4*s(13179)+1*s(13182)+1*s(13184)+1*s(13185)+2*s(13186)+2*s(13190)+22*s(13194)+21*s(13195)+3*s(13196)+14*s(13197)+7*s(13198)+8*s(13199)+18*s(13200)+4*s(13201)+3*s(13203)+78*s(13204)+9*s(13205)+3*s(13206)+10*s(13207)+1 Such that:s(13139) =< V15 s(13140) =< 2*V15 s(13141) =< 2*V15+1 s(13142) =< V15/2 s(13143) =< V15/3 s(13144) =< V15/4 s(13145) =< 2/3*V15 s(13146) =< 2/3*V15+1/3 s(13147) =< 2/5*V15+1/5 s(13148) =< 3/10*V15 s(13149) =< 3/13*V15 s(13150) =< 3/16*V15 s(13151) =< 4/5*V15 s(13152) =< 4/7*V15 s(13153) =< 4/9*V15 aux(699) =< V1 aux(700) =< 2*V1 aux(701) =< 2*V1+1 aux(702) =< V1/2 aux(703) =< V1/3 aux(704) =< V1/4 aux(705) =< 2/3*V1 aux(706) =< 2/3*V1+1/3 aux(707) =< 2/5*V1+1/5 aux(708) =< 3/10*V1 aux(709) =< 3/13*V1 aux(710) =< 3/16*V1 aux(711) =< 4/5*V1 aux(712) =< 4/7*V1 aux(713) =< 4/9*V1 s(13077) =< aux(706) s(13078) =< aux(707) s(13154) =< s(13139) s(13155) =< s(13139) s(13156) =< s(13139) s(13157) =< s(13139) s(13158) =< s(13139) s(13159) =< s(13139) s(13160) =< s(13139) s(13161) =< s(13139) s(13162) =< s(13139) s(13163) =< s(13139) s(13164) =< s(13139) s(13165) =< s(13139) s(13147) =< s(13139) s(13146) =< s(13139) s(13147) =< s(13141) s(13146) =< s(13141) s(13166) =< s(13142) s(13167) =< s(13142) s(13168) =< s(13142) s(13156) =< s(13143) s(13167) =< s(13144) s(13169) =< s(13145) s(13157) =< s(13145) s(13158) =< s(13145) s(13160) =< s(13145) s(13161) =< s(13145) s(13163) =< s(13145) s(13164) =< s(13145) s(13147) =< s(13145) s(13168) =< s(13148) s(13170) =< s(13149) s(13171) =< s(13150) s(13162) =< s(13151) s(13163) =< s(13151) s(13164) =< s(13151) s(13147) =< s(13151) s(13161) =< s(13152) s(13163) =< s(13152) s(13158) =< s(13153) s(13172) =< s(13140)+3 s(13173) =< s(13140)+4 s(13174) =< s(13140)+5 s(13175) =< s(13140)+1 s(13176) =< s(13140)+2 s(13177) =< s(13140)-2 s(13169) =< s(13141)*(1/3)+s(13145) s(13157) =< s(13141)*(1/3)+s(13145) s(13158) =< s(13141)*(1/3)+s(13145) s(13159) =< s(13141)*(1/3)+s(13145) s(13160) =< s(13141)*(1/3)+s(13145) s(13161) =< s(13141)*(1/3)+s(13145) s(13162) =< s(13141)*(1/3)+s(13145) s(13163) =< s(13141)*(1/3)+s(13145) s(13165) =< s(13141)*(1/3)+s(13145) s(13147) =< s(13141)*(1/3)+s(13145) s(13164) =< s(13141)*(1/3)+s(13145) s(13161) =< s(13141)*(3/7)+s(13152) s(13162) =< s(13141)*(3/7)+s(13152) s(13163) =< s(13141)*(3/7)+s(13152) s(13164) =< s(13141)*(3/7)+s(13152) s(13165) =< s(13141)*(3/7)+s(13152) s(13162) =< s(13141)*(1/5)+s(13151) s(13163) =< s(13141)*(1/5)+s(13151) s(13164) =< s(13141)*(1/5)+s(13151) s(13165) =< s(13141)*(1/5)+s(13151) s(13147) =< s(13141)*(1/5)+s(13151) s(13158) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13159) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13160) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13161) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13162) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13163) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13164) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13165) =< s(13141)*(5/9)+s(13146)*(1/9)+s(13153) s(13156) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13157) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13158) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13159) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13160) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13161) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13162) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13163) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13164) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13165) =< s(13141)*(2/3)+s(13146)*(1/3)+s(13143) s(13168) =< s(13141)*(7/20)+s(13146)*(1/20)+s(13148) s(13154) =< s(13141)*(7/20)+s(13146)*(1/20)+s(13148) s(13167) =< s(13141)*(3/8)+s(13146)*(1/8)+s(13144) s(13168) =< s(13141)*(3/8)+s(13146)*(1/8)+s(13144) s(13154) =< s(13141)*(3/8)+s(13146)*(1/8)+s(13144) s(13166) =< s(13141)*(1/4)+s(13142) s(13167) =< s(13141)*(1/4)+s(13142) s(13168) =< s(13141)*(1/4)+s(13142) s(13154) =< s(13141)*(1/4)+s(13142) s(13170) =< s(13141)*(5/13)+s(13146)*(2/13)+s(13149) s(13166) =< s(13141)*(5/13)+s(13146)*(2/13)+s(13149) s(13167) =< s(13141)*(5/13)+s(13146)*(2/13)+s(13149) s(13168) =< s(13141)*(5/13)+s(13146)*(2/13)+s(13149) s(13154) =< s(13141)*(5/13)+s(13146)*(2/13)+s(13149) s(13178) =< s(13165)*s(13172) s(13179) =< s(13165)*s(13173) s(13180) =< s(13165)*s(13174) s(13181) =< s(13164)*s(13173) s(13182) =< s(13161)*s(13175) s(13183) =< s(13161)*s(13173) s(13184) =< s(13160)*s(13176) s(13185) =< s(13158)*s(13175) s(13186) =< s(13157)*s(13176) s(13187) =< s(13156)*s(13176) s(13171) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13170) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13166) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13167) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13168) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13154) =< s(13141)*(13/32)+s(13147)*(1/32)+s(13146)*(7/32)+s(13150) s(13188) =< s(13154)*s(13172) s(13189) =< s(13154)*s(13174) s(13190) =< s(13168)*s(13177) s(13191) =< s(13167)*s(13175) s(13192) =< s(13170)*s(13177) s(13193) =< s(13171)*s(13140) s(13194) =< s(13178) s(13195) =< s(13180) s(13179) =< s(13180) s(13196) =< s(13169) s(13197) =< s(13181) s(13198) =< s(13183) s(13199) =< s(13187) s(13200) =< s(13189) s(13201) =< s(13188) s(13201) =< s(13189) s(13202) =< s(13189) s(13202) =< s(13188) s(13203) =< s(13202) s(13204) =< s(13188) s(13205) =< s(13191) s(13206) =< s(13192) s(13207) =< s(13193) s(13085) =< aux(699) s(13086) =< aux(699) s(13087) =< aux(699) s(13088) =< aux(699) s(13089) =< aux(699) s(13090) =< aux(699) s(13091) =< aux(699) s(13092) =< aux(699) s(13093) =< aux(699) s(13094) =< aux(699) s(13095) =< aux(699) s(13096) =< aux(699) s(13078) =< aux(699) s(13077) =< aux(699) s(13078) =< aux(701) s(13077) =< aux(701) s(13097) =< aux(702) s(13098) =< aux(702) s(13099) =< aux(702) s(13087) =< aux(703) s(13098) =< aux(704) s(13100) =< aux(705) s(13088) =< aux(705) s(13089) =< aux(705) s(13091) =< aux(705) s(13092) =< aux(705) s(13094) =< aux(705) s(13095) =< aux(705) s(13078) =< aux(705) s(13099) =< aux(708) s(13101) =< aux(709) s(13102) =< aux(710) s(13093) =< aux(711) s(13094) =< aux(711) s(13095) =< aux(711) s(13078) =< aux(711) s(13092) =< aux(712) s(13094) =< aux(712) s(13089) =< aux(713) s(13103) =< aux(700)+3 s(13104) =< aux(700)+4 s(13105) =< aux(700)+5 s(13106) =< aux(700)+1 s(13107) =< aux(700)+2 s(13108) =< aux(700)-2 s(13100) =< aux(701)*(1/3)+aux(705) s(13088) =< aux(701)*(1/3)+aux(705) s(13089) =< aux(701)*(1/3)+aux(705) s(13090) =< aux(701)*(1/3)+aux(705) s(13091) =< aux(701)*(1/3)+aux(705) s(13092) =< aux(701)*(1/3)+aux(705) s(13093) =< aux(701)*(1/3)+aux(705) s(13094) =< aux(701)*(1/3)+aux(705) s(13096) =< aux(701)*(1/3)+aux(705) s(13078) =< aux(701)*(1/3)+aux(705) s(13095) =< aux(701)*(1/3)+aux(705) s(13092) =< aux(701)*(3/7)+aux(712) s(13093) =< aux(701)*(3/7)+aux(712) s(13094) =< aux(701)*(3/7)+aux(712) s(13095) =< aux(701)*(3/7)+aux(712) s(13096) =< aux(701)*(3/7)+aux(712) s(13093) =< aux(701)*(1/5)+aux(711) s(13094) =< aux(701)*(1/5)+aux(711) s(13095) =< aux(701)*(1/5)+aux(711) s(13096) =< aux(701)*(1/5)+aux(711) s(13078) =< aux(701)*(1/5)+aux(711) s(13089) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13090) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13091) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13092) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13093) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13094) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13095) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13096) =< aux(701)*(5/9)+s(13077)*(1/9)+aux(713) s(13087) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13088) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13089) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13090) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13091) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13092) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13093) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13094) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13095) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13096) =< aux(701)*(2/3)+s(13077)*(1/3)+aux(703) s(13099) =< aux(701)*(7/20)+s(13077)*(1/20)+aux(708) s(13085) =< aux(701)*(7/20)+s(13077)*(1/20)+aux(708) s(13098) =< aux(701)*(3/8)+s(13077)*(1/8)+aux(704) s(13099) =< aux(701)*(3/8)+s(13077)*(1/8)+aux(704) s(13085) =< aux(701)*(3/8)+s(13077)*(1/8)+aux(704) s(13097) =< aux(701)*(1/4)+aux(702) s(13098) =< aux(701)*(1/4)+aux(702) s(13099) =< aux(701)*(1/4)+aux(702) s(13085) =< aux(701)*(1/4)+aux(702) s(13101) =< aux(701)*(5/13)+s(13077)*(2/13)+aux(709) s(13097) =< aux(701)*(5/13)+s(13077)*(2/13)+aux(709) s(13098) =< aux(701)*(5/13)+s(13077)*(2/13)+aux(709) s(13099) =< aux(701)*(5/13)+s(13077)*(2/13)+aux(709) s(13085) =< aux(701)*(5/13)+s(13077)*(2/13)+aux(709) s(13109) =< s(13096)*s(13103) s(13110) =< s(13096)*s(13104) s(13111) =< s(13096)*s(13105) s(13112) =< s(13095)*s(13104) s(13113) =< s(13092)*s(13106) s(13114) =< s(13092)*s(13104) s(13115) =< s(13091)*s(13107) s(13116) =< s(13089)*s(13106) s(13117) =< s(13088)*s(13107) s(13118) =< s(13087)*s(13107) s(13102) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13101) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13097) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13098) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13099) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13085) =< aux(701)*(13/32)+s(13078)*(1/32)+s(13077)*(7/32)+aux(710) s(13119) =< s(13085)*s(13103) s(13120) =< s(13085)*s(13105) s(13121) =< s(13099)*s(13108) s(13122) =< s(13098)*s(13106) s(13123) =< s(13101)*s(13108) s(13124) =< s(13102)*aux(700) s(13125) =< s(13109) s(13126) =< s(13111) s(13110) =< s(13111) s(13127) =< s(13100) s(13128) =< s(13112) s(13129) =< s(13114) s(13130) =< s(13118) s(13131) =< s(13120) s(13132) =< s(13119) s(13132) =< s(13120) s(13133) =< s(13120) s(13133) =< s(13119) s(13134) =< s(13133) s(13135) =< s(13119) s(13136) =< s(13122) s(13137) =< s(13123) s(13138) =< s(13124) with precondition: [V=2,Out=2,V1>=1,V15>=1] * Chain [101]: 24*s(13292)+60*s(13293)+9*s(13294)+3*s(13295)+9*s(13296)+6*s(13297)+3*s(13298)+9*s(13299)+3*s(13300)+9*s(13301)+18*s(13302)+18*s(13303)+3*s(13304)+15*s(13305)+15*s(13306)+15*s(13308)+15*s(13309)+12*s(13317)+3*s(13320)+3*s(13322)+3*s(13323)+6*s(13324)+6*s(13328)+66*s(13332)+63*s(13333)+9*s(13334)+42*s(13335)+21*s(13336)+24*s(13337)+54*s(13338)+12*s(13339)+9*s(13341)+234*s(13342)+27*s(13343)+9*s(13344)+30*s(13345)+24*s(13361)+60*s(13362)+9*s(13363)+3*s(13364)+9*s(13365)+6*s(13366)+3*s(13367)+9*s(13368)+3*s(13369)+9*s(13370)+18*s(13371)+18*s(13372)+3*s(13373)+15*s(13374)+15*s(13375)+15*s(13377)+15*s(13378)+12*s(13386)+3*s(13389)+3*s(13391)+3*s(13392)+6*s(13393)+6*s(13397)+66*s(13401)+63*s(13402)+9*s(13403)+42*s(13404)+21*s(13405)+24*s(13406)+54*s(13407)+12*s(13408)+9*s(13410)+234*s(13411)+27*s(13412)+9*s(13413)+30*s(13414)+4*s(13553)+7*s(13693)+5 Such that:aux(715) =< 1 aux(716) =< V1 aux(717) =< 2*V1 aux(718) =< 2*V1+1 aux(719) =< V1/2 aux(720) =< V1/3 aux(721) =< V1/4 aux(722) =< 2/3*V1 aux(723) =< 2/3*V1+1/3 aux(724) =< 2/5*V1+1/5 aux(725) =< 3/10*V1 aux(726) =< 3/13*V1 aux(727) =< 3/16*V1 aux(728) =< 4/5*V1 aux(729) =< 4/7*V1 aux(730) =< 4/9*V1 aux(731) =< V aux(732) =< 2*V aux(733) =< 2*V+1 aux(734) =< V/2 aux(735) =< V/3 aux(736) =< V/4 aux(737) =< 2/3*V aux(738) =< 2/3*V+1/3 aux(739) =< 2/5*V+1/5 aux(740) =< 3/10*V aux(741) =< 3/13*V aux(742) =< 3/16*V aux(743) =< 4/5*V aux(744) =< 4/7*V aux(745) =< 4/9*V s(13553) =< aux(715) s(13284) =< aux(723) s(13285) =< aux(724) s(13353) =< aux(738) s(13354) =< aux(739) s(13361) =< aux(731) s(13362) =< aux(731) s(13363) =< aux(731) s(13364) =< aux(731) s(13365) =< aux(731) s(13366) =< aux(731) s(13367) =< aux(731) s(13368) =< aux(731) s(13369) =< aux(731) s(13370) =< aux(731) s(13371) =< aux(731) s(13372) =< aux(731) s(13354) =< aux(731) s(13353) =< aux(731) s(13354) =< aux(733) s(13353) =< aux(733) s(13373) =< aux(734) s(13374) =< aux(734) s(13375) =< aux(734) s(13363) =< aux(735) s(13374) =< aux(736) s(13376) =< aux(737) s(13364) =< aux(737) s(13365) =< aux(737) s(13367) =< aux(737) s(13368) =< aux(737) s(13370) =< aux(737) s(13371) =< aux(737) s(13354) =< aux(737) s(13375) =< aux(740) s(13377) =< aux(741) s(13378) =< aux(742) s(13369) =< aux(743) s(13370) =< aux(743) s(13371) =< aux(743) s(13354) =< aux(743) s(13368) =< aux(744) s(13370) =< aux(744) s(13365) =< aux(745) s(13379) =< aux(732)+3 s(13380) =< aux(732)+4 s(13381) =< aux(732)+5 s(13382) =< aux(732)+1 s(13383) =< aux(732)+2 s(13384) =< aux(732)-2 s(13376) =< aux(733)*(1/3)+aux(737) s(13364) =< aux(733)*(1/3)+aux(737) s(13365) =< aux(733)*(1/3)+aux(737) s(13366) =< aux(733)*(1/3)+aux(737) s(13367) =< aux(733)*(1/3)+aux(737) s(13368) =< aux(733)*(1/3)+aux(737) s(13369) =< aux(733)*(1/3)+aux(737) s(13370) =< aux(733)*(1/3)+aux(737) s(13372) =< aux(733)*(1/3)+aux(737) s(13354) =< aux(733)*(1/3)+aux(737) s(13371) =< aux(733)*(1/3)+aux(737) s(13368) =< aux(733)*(3/7)+aux(744) s(13369) =< aux(733)*(3/7)+aux(744) s(13370) =< aux(733)*(3/7)+aux(744) s(13371) =< aux(733)*(3/7)+aux(744) s(13372) =< aux(733)*(3/7)+aux(744) s(13369) =< aux(733)*(1/5)+aux(743) s(13370) =< aux(733)*(1/5)+aux(743) s(13371) =< aux(733)*(1/5)+aux(743) s(13372) =< aux(733)*(1/5)+aux(743) s(13354) =< aux(733)*(1/5)+aux(743) s(13365) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13366) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13367) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13368) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13369) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13370) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13371) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13372) =< aux(733)*(5/9)+s(13353)*(1/9)+aux(745) s(13363) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13364) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13365) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13366) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13367) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13368) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13369) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13370) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13371) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13372) =< aux(733)*(2/3)+s(13353)*(1/3)+aux(735) s(13375) =< aux(733)*(7/20)+s(13353)*(1/20)+aux(740) s(13361) =< aux(733)*(7/20)+s(13353)*(1/20)+aux(740) s(13374) =< aux(733)*(3/8)+s(13353)*(1/8)+aux(736) s(13375) =< aux(733)*(3/8)+s(13353)*(1/8)+aux(736) s(13361) =< aux(733)*(3/8)+s(13353)*(1/8)+aux(736) s(13373) =< aux(733)*(1/4)+aux(734) s(13374) =< aux(733)*(1/4)+aux(734) s(13375) =< aux(733)*(1/4)+aux(734) s(13361) =< aux(733)*(1/4)+aux(734) s(13377) =< aux(733)*(5/13)+s(13353)*(2/13)+aux(741) s(13373) =< aux(733)*(5/13)+s(13353)*(2/13)+aux(741) s(13374) =< aux(733)*(5/13)+s(13353)*(2/13)+aux(741) s(13375) =< aux(733)*(5/13)+s(13353)*(2/13)+aux(741) s(13361) =< aux(733)*(5/13)+s(13353)*(2/13)+aux(741) s(13385) =< s(13372)*s(13379) s(13386) =< s(13372)*s(13380) s(13387) =< s(13372)*s(13381) s(13388) =< s(13371)*s(13380) s(13389) =< s(13368)*s(13382) s(13390) =< s(13368)*s(13380) s(13391) =< s(13367)*s(13383) s(13392) =< s(13365)*s(13382) s(13393) =< s(13364)*s(13383) s(13394) =< s(13363)*s(13383) s(13378) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13377) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13373) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13374) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13375) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13361) =< aux(733)*(13/32)+s(13354)*(1/32)+s(13353)*(7/32)+aux(742) s(13395) =< s(13361)*s(13379) s(13396) =< s(13361)*s(13381) s(13397) =< s(13375)*s(13384) s(13398) =< s(13374)*s(13382) s(13399) =< s(13377)*s(13384) s(13400) =< s(13378)*aux(732) s(13401) =< s(13385) s(13402) =< s(13387) s(13386) =< s(13387) s(13403) =< s(13376) s(13404) =< s(13388) s(13405) =< s(13390) s(13406) =< s(13394) s(13407) =< s(13396) s(13408) =< s(13395) s(13408) =< s(13396) s(13409) =< s(13396) s(13409) =< s(13395) s(13410) =< s(13409) s(13411) =< s(13395) s(13412) =< s(13398) s(13413) =< s(13399) s(13414) =< s(13400) s(13292) =< aux(716) s(13293) =< aux(716) s(13294) =< aux(716) s(13295) =< aux(716) s(13296) =< aux(716) s(13297) =< aux(716) s(13298) =< aux(716) s(13299) =< aux(716) s(13300) =< aux(716) s(13301) =< aux(716) s(13302) =< aux(716) s(13303) =< aux(716) s(13285) =< aux(716) s(13284) =< aux(716) s(13285) =< aux(718) s(13284) =< aux(718) s(13304) =< aux(719) s(13305) =< aux(719) s(13306) =< aux(719) s(13294) =< aux(720) s(13305) =< aux(721) s(13307) =< aux(722) s(13295) =< aux(722) s(13296) =< aux(722) s(13298) =< aux(722) s(13299) =< aux(722) s(13301) =< aux(722) s(13302) =< aux(722) s(13285) =< aux(722) s(13306) =< aux(725) s(13308) =< aux(726) s(13309) =< aux(727) s(13300) =< aux(728) s(13301) =< aux(728) s(13302) =< aux(728) s(13285) =< aux(728) s(13299) =< aux(729) s(13301) =< aux(729) s(13296) =< aux(730) s(13310) =< aux(717)+3 s(13311) =< aux(717)+4 s(13312) =< aux(717)+5 s(13313) =< aux(717)+1 s(13314) =< aux(717)+2 s(13315) =< aux(717)-2 s(13307) =< aux(718)*(1/3)+aux(722) s(13295) =< aux(718)*(1/3)+aux(722) s(13296) =< aux(718)*(1/3)+aux(722) s(13297) =< aux(718)*(1/3)+aux(722) s(13298) =< aux(718)*(1/3)+aux(722) s(13299) =< aux(718)*(1/3)+aux(722) s(13300) =< aux(718)*(1/3)+aux(722) s(13301) =< aux(718)*(1/3)+aux(722) s(13303) =< aux(718)*(1/3)+aux(722) s(13285) =< aux(718)*(1/3)+aux(722) s(13302) =< aux(718)*(1/3)+aux(722) s(13299) =< aux(718)*(3/7)+aux(729) s(13300) =< aux(718)*(3/7)+aux(729) s(13301) =< aux(718)*(3/7)+aux(729) s(13302) =< aux(718)*(3/7)+aux(729) s(13303) =< aux(718)*(3/7)+aux(729) s(13300) =< aux(718)*(1/5)+aux(728) s(13301) =< aux(718)*(1/5)+aux(728) s(13302) =< aux(718)*(1/5)+aux(728) s(13303) =< aux(718)*(1/5)+aux(728) s(13285) =< aux(718)*(1/5)+aux(728) s(13296) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13297) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13298) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13299) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13300) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13301) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13302) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13303) =< aux(718)*(5/9)+s(13284)*(1/9)+aux(730) s(13294) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13295) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13296) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13297) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13298) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13299) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13300) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13301) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13302) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13303) =< aux(718)*(2/3)+s(13284)*(1/3)+aux(720) s(13306) =< aux(718)*(7/20)+s(13284)*(1/20)+aux(725) s(13292) =< aux(718)*(7/20)+s(13284)*(1/20)+aux(725) s(13305) =< aux(718)*(3/8)+s(13284)*(1/8)+aux(721) s(13306) =< aux(718)*(3/8)+s(13284)*(1/8)+aux(721) s(13292) =< aux(718)*(3/8)+s(13284)*(1/8)+aux(721) s(13304) =< aux(718)*(1/4)+aux(719) s(13305) =< aux(718)*(1/4)+aux(719) s(13306) =< aux(718)*(1/4)+aux(719) s(13292) =< aux(718)*(1/4)+aux(719) s(13308) =< aux(718)*(5/13)+s(13284)*(2/13)+aux(726) s(13304) =< aux(718)*(5/13)+s(13284)*(2/13)+aux(726) s(13305) =< aux(718)*(5/13)+s(13284)*(2/13)+aux(726) s(13306) =< aux(718)*(5/13)+s(13284)*(2/13)+aux(726) s(13292) =< aux(718)*(5/13)+s(13284)*(2/13)+aux(726) s(13316) =< s(13303)*s(13310) s(13317) =< s(13303)*s(13311) s(13318) =< s(13303)*s(13312) s(13319) =< s(13302)*s(13311) s(13320) =< s(13299)*s(13313) s(13321) =< s(13299)*s(13311) s(13322) =< s(13298)*s(13314) s(13323) =< s(13296)*s(13313) s(13324) =< s(13295)*s(13314) s(13325) =< s(13294)*s(13314) s(13309) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13308) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13304) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13305) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13306) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13292) =< aux(718)*(13/32)+s(13285)*(1/32)+s(13284)*(7/32)+aux(727) s(13326) =< s(13292)*s(13310) s(13327) =< s(13292)*s(13312) s(13328) =< s(13306)*s(13315) s(13329) =< s(13305)*s(13313) s(13330) =< s(13308)*s(13315) s(13331) =< s(13309)*aux(717) s(13332) =< s(13316) s(13333) =< s(13318) s(13317) =< s(13318) s(13334) =< s(13307) s(13335) =< s(13319) s(13336) =< s(13321) s(13337) =< s(13325) s(13338) =< s(13327) s(13339) =< s(13326) s(13339) =< s(13327) s(13340) =< s(13327) s(13340) =< s(13326) s(13341) =< s(13340) s(13342) =< s(13326) s(13343) =< s(13329) s(13344) =< s(13330) s(13345) =< s(13331) s(13693) =< aux(732) with precondition: [V15=2,V1>=1,V>=1,Out>=1,2*V>=Out] #### Cost of chains of start(V1,V,V15): * Chain [108]: 1384*s(14423)+209*s(14426)+747*s(14436)+12*s(14448)+4*s(14452)+3*s(14454)+22*s(14455)+1357*s(14472)+12*s(14477)+4*s(14481)+3*s(14483)+528*s(14514)+198*s(14516)+66*s(14517)+198*s(14518)+132*s(14519)+66*s(14520)+198*s(14521)+66*s(14522)+198*s(14523)+396*s(14524)+396*s(14525)+66*s(14526)+330*s(14527)+330*s(14528)+330*s(14530)+330*s(14531)+264*s(14539)+66*s(14542)+66*s(14544)+66*s(14545)+132*s(14546)+132*s(14550)+1452*s(14554)+1386*s(14555)+198*s(14556)+924*s(14557)+462*s(14558)+528*s(14559)+1188*s(14560)+264*s(14561)+198*s(14563)+5148*s(14564)+594*s(14565)+198*s(14566)+660*s(14567)+307*s(14599)+344*s(14604)+528*s(14605)+198*s(14607)+66*s(14608)+198*s(14609)+132*s(14610)+66*s(14611)+198*s(14612)+66*s(14613)+198*s(14614)+396*s(14615)+396*s(14616)+66*s(14617)+330*s(14618)+330*s(14619)+330*s(14621)+330*s(14622)+264*s(14630)+66*s(14633)+66*s(14635)+66*s(14636)+132*s(14637)+132*s(14641)+1452*s(14645)+1386*s(14646)+198*s(14647)+924*s(14648)+462*s(14649)+528*s(14650)+1188*s(14651)+264*s(14652)+198*s(14654)+5148*s(14655)+594*s(14656)+198*s(14657)+660*s(14658)+104*s(14857)+4*s(15604)+8*s(15605)+8*s(15720)+280*s(16117)+105*s(16119)+35*s(16120)+105*s(16121)+70*s(16122)+35*s(16123)+105*s(16124)+35*s(16125)+105*s(16126)+210*s(16127)+210*s(16128)+35*s(16129)+175*s(16130)+175*s(16131)+175*s(16133)+175*s(16134)+140*s(16142)+35*s(16145)+35*s(16147)+35*s(16148)+70*s(16149)+70*s(16153)+770*s(16157)+735*s(16158)+105*s(16159)+490*s(16160)+245*s(16161)+280*s(16162)+630*s(16163)+140*s(16164)+105*s(16166)+2730*s(16167)+315*s(16168)+105*s(16169)+350*s(16170)+86*s(16225)+8 Such that:s(15570) =< 3 s(14476) =< V1-V s(14447) =< V-2*V15 aux(813) =< 1 aux(814) =< 2 aux(815) =< V1 aux(816) =< V1-V+1 aux(817) =< 2*V1 aux(818) =< 2*V1+1 aux(819) =< V1/2 aux(820) =< V1/3 aux(821) =< V1/4 aux(822) =< 2/3*V1 aux(823) =< 2/3*V1+1/3 aux(824) =< 2/5*V1+1/5 aux(825) =< 3/10*V1 aux(826) =< 3/13*V1 aux(827) =< 3/16*V1 aux(828) =< 4/5*V1 aux(829) =< 4/7*V1 aux(830) =< 4/9*V1 aux(831) =< V aux(832) =< V-2*V15+1 aux(833) =< V-V15 aux(834) =< 2*V aux(835) =< 2*V+1 aux(836) =< V/2 aux(837) =< V/3 aux(838) =< V/4 aux(839) =< 2/3*V aux(840) =< 2/3*V+1/3 aux(841) =< 2/5*V+1/5 aux(842) =< 3/10*V aux(843) =< 3/13*V aux(844) =< 3/16*V aux(845) =< 4/5*V aux(846) =< 4/7*V aux(847) =< 4/9*V aux(848) =< V15 aux(849) =< 2*V15 aux(850) =< 2*V15+1 aux(851) =< V15/2 aux(852) =< V15/3 aux(853) =< V15/4 aux(854) =< 2/3*V15 aux(855) =< 2/3*V15+1/3 aux(856) =< 2/5*V15+1/5 aux(857) =< 3/10*V15 aux(858) =< 3/13*V15 aux(859) =< 3/16*V15 aux(860) =< 4/5*V15 aux(861) =< 4/7*V15 aux(862) =< 4/9*V15 s(14426) =< aux(813) s(14599) =< aux(814) s(14472) =< aux(815) s(14477) =< aux(816) s(14506) =< aux(823) s(14507) =< aux(824) s(14423) =< aux(831) s(14448) =< aux(832) s(14455) =< aux(833) s(14436) =< aux(848) s(16060) =< aux(855) s(16061) =< aux(856) s(14602) =< aux(840) s(14603) =< aux(841) s(14605) =< aux(831) s(14607) =< aux(831) s(14608) =< aux(831) s(14609) =< aux(831) s(14610) =< aux(831) s(14611) =< aux(831) s(14612) =< aux(831) s(14613) =< aux(831) s(14614) =< aux(831) s(14615) =< aux(831) s(14616) =< aux(831) s(14603) =< aux(831) s(14602) =< aux(831) s(14603) =< aux(835) s(14602) =< aux(835) s(14617) =< aux(836) s(14618) =< aux(836) s(14619) =< aux(836) s(14607) =< aux(837) s(14618) =< aux(838) s(14620) =< aux(839) s(14608) =< aux(839) s(14609) =< aux(839) s(14611) =< aux(839) s(14612) =< aux(839) s(14614) =< aux(839) s(14615) =< aux(839) s(14603) =< aux(839) s(14619) =< aux(842) s(14621) =< aux(843) s(14622) =< aux(844) s(14613) =< aux(845) s(14614) =< aux(845) s(14615) =< aux(845) s(14603) =< aux(845) s(14612) =< aux(846) s(14614) =< aux(846) s(14609) =< aux(847) s(14623) =< aux(834)+3 s(14624) =< aux(834)+4 s(14625) =< aux(834)+5 s(14626) =< aux(834)+1 s(14627) =< aux(834)+2 s(14628) =< aux(834)-2 s(14620) =< aux(835)*(1/3)+aux(839) s(14608) =< aux(835)*(1/3)+aux(839) s(14609) =< aux(835)*(1/3)+aux(839) s(14610) =< aux(835)*(1/3)+aux(839) s(14611) =< aux(835)*(1/3)+aux(839) s(14612) =< aux(835)*(1/3)+aux(839) s(14613) =< aux(835)*(1/3)+aux(839) s(14614) =< aux(835)*(1/3)+aux(839) s(14616) =< aux(835)*(1/3)+aux(839) s(14603) =< aux(835)*(1/3)+aux(839) s(14615) =< aux(835)*(1/3)+aux(839) s(14612) =< aux(835)*(3/7)+aux(846) s(14613) =< aux(835)*(3/7)+aux(846) s(14614) =< aux(835)*(3/7)+aux(846) s(14615) =< aux(835)*(3/7)+aux(846) s(14616) =< aux(835)*(3/7)+aux(846) s(14613) =< aux(835)*(1/5)+aux(845) s(14614) =< aux(835)*(1/5)+aux(845) s(14615) =< aux(835)*(1/5)+aux(845) s(14616) =< aux(835)*(1/5)+aux(845) s(14603) =< aux(835)*(1/5)+aux(845) s(14609) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14610) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14611) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14612) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14613) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14614) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14615) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14616) =< aux(835)*(5/9)+s(14602)*(1/9)+aux(847) s(14607) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14608) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14609) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14610) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14611) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14612) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14613) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14614) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14615) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14616) =< aux(835)*(2/3)+s(14602)*(1/3)+aux(837) s(14619) =< aux(835)*(7/20)+s(14602)*(1/20)+aux(842) s(14605) =< aux(835)*(7/20)+s(14602)*(1/20)+aux(842) s(14618) =< aux(835)*(3/8)+s(14602)*(1/8)+aux(838) s(14619) =< aux(835)*(3/8)+s(14602)*(1/8)+aux(838) s(14605) =< aux(835)*(3/8)+s(14602)*(1/8)+aux(838) s(14617) =< aux(835)*(1/4)+aux(836) s(14618) =< aux(835)*(1/4)+aux(836) s(14619) =< aux(835)*(1/4)+aux(836) s(14605) =< aux(835)*(1/4)+aux(836) s(14621) =< aux(835)*(5/13)+s(14602)*(2/13)+aux(843) s(14617) =< aux(835)*(5/13)+s(14602)*(2/13)+aux(843) s(14618) =< aux(835)*(5/13)+s(14602)*(2/13)+aux(843) s(14619) =< aux(835)*(5/13)+s(14602)*(2/13)+aux(843) s(14605) =< aux(835)*(5/13)+s(14602)*(2/13)+aux(843) s(14629) =< s(14616)*s(14623) s(14630) =< s(14616)*s(14624) s(14631) =< s(14616)*s(14625) s(14632) =< s(14615)*s(14624) s(14633) =< s(14612)*s(14626) s(14634) =< s(14612)*s(14624) s(14635) =< s(14611)*s(14627) s(14636) =< s(14609)*s(14626) s(14637) =< s(14608)*s(14627) s(14638) =< s(14607)*s(14627) s(14622) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14621) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14617) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14618) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14619) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14605) =< aux(835)*(13/32)+s(14603)*(1/32)+s(14602)*(7/32)+aux(844) s(14639) =< s(14605)*s(14623) s(14640) =< s(14605)*s(14625) s(14641) =< s(14619)*s(14628) s(14642) =< s(14618)*s(14626) s(14643) =< s(14621)*s(14628) s(14644) =< s(14622)*aux(834) s(14645) =< s(14629) s(14646) =< s(14631) s(14630) =< s(14631) s(14647) =< s(14620) s(14648) =< s(14632) s(14649) =< s(14634) s(14650) =< s(14638) s(14651) =< s(14640) s(14652) =< s(14639) s(14652) =< s(14640) s(14653) =< s(14640) s(14653) =< s(14639) s(14654) =< s(14653) s(14655) =< s(14639) s(14656) =< s(14642) s(14657) =< s(14643) s(14658) =< s(14644) s(14514) =< aux(815) s(14516) =< aux(815) s(14517) =< aux(815) s(14518) =< aux(815) s(14519) =< aux(815) s(14520) =< aux(815) s(14521) =< aux(815) s(14522) =< aux(815) s(14523) =< aux(815) s(14524) =< aux(815) s(14525) =< aux(815) s(14507) =< aux(815) s(14506) =< aux(815) s(14507) =< aux(818) s(14506) =< aux(818) s(14526) =< aux(819) s(14527) =< aux(819) s(14528) =< aux(819) s(14516) =< aux(820) s(14527) =< aux(821) s(14529) =< aux(822) s(14517) =< aux(822) s(14518) =< aux(822) s(14520) =< aux(822) s(14521) =< aux(822) s(14523) =< aux(822) s(14524) =< aux(822) s(14507) =< aux(822) s(14528) =< aux(825) s(14530) =< aux(826) s(14531) =< aux(827) s(14522) =< aux(828) s(14523) =< aux(828) s(14524) =< aux(828) s(14507) =< aux(828) s(14521) =< aux(829) s(14523) =< aux(829) s(14518) =< aux(830) s(14532) =< aux(817)+3 s(14533) =< aux(817)+4 s(14534) =< aux(817)+5 s(14535) =< aux(817)+1 s(14536) =< aux(817)+2 s(14537) =< aux(817)-2 s(14529) =< aux(818)*(1/3)+aux(822) s(14517) =< aux(818)*(1/3)+aux(822) s(14518) =< aux(818)*(1/3)+aux(822) s(14519) =< aux(818)*(1/3)+aux(822) s(14520) =< aux(818)*(1/3)+aux(822) s(14521) =< aux(818)*(1/3)+aux(822) s(14522) =< aux(818)*(1/3)+aux(822) s(14523) =< aux(818)*(1/3)+aux(822) s(14525) =< aux(818)*(1/3)+aux(822) s(14507) =< aux(818)*(1/3)+aux(822) s(14524) =< aux(818)*(1/3)+aux(822) s(14521) =< aux(818)*(3/7)+aux(829) s(14522) =< aux(818)*(3/7)+aux(829) s(14523) =< aux(818)*(3/7)+aux(829) s(14524) =< aux(818)*(3/7)+aux(829) s(14525) =< aux(818)*(3/7)+aux(829) s(14522) =< aux(818)*(1/5)+aux(828) s(14523) =< aux(818)*(1/5)+aux(828) s(14524) =< aux(818)*(1/5)+aux(828) s(14525) =< aux(818)*(1/5)+aux(828) s(14507) =< aux(818)*(1/5)+aux(828) s(14518) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14519) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14520) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14521) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14522) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14523) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14524) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14525) =< aux(818)*(5/9)+s(14506)*(1/9)+aux(830) s(14516) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14517) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14518) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14519) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14520) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14521) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14522) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14523) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14524) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14525) =< aux(818)*(2/3)+s(14506)*(1/3)+aux(820) s(14528) =< aux(818)*(7/20)+s(14506)*(1/20)+aux(825) s(14514) =< aux(818)*(7/20)+s(14506)*(1/20)+aux(825) s(14527) =< aux(818)*(3/8)+s(14506)*(1/8)+aux(821) s(14528) =< aux(818)*(3/8)+s(14506)*(1/8)+aux(821) s(14514) =< aux(818)*(3/8)+s(14506)*(1/8)+aux(821) s(14526) =< aux(818)*(1/4)+aux(819) s(14527) =< aux(818)*(1/4)+aux(819) s(14528) =< aux(818)*(1/4)+aux(819) s(14514) =< aux(818)*(1/4)+aux(819) s(14530) =< aux(818)*(5/13)+s(14506)*(2/13)+aux(826) s(14526) =< aux(818)*(5/13)+s(14506)*(2/13)+aux(826) s(14527) =< aux(818)*(5/13)+s(14506)*(2/13)+aux(826) s(14528) =< aux(818)*(5/13)+s(14506)*(2/13)+aux(826) s(14514) =< aux(818)*(5/13)+s(14506)*(2/13)+aux(826) s(14538) =< s(14525)*s(14532) s(14539) =< s(14525)*s(14533) s(14540) =< s(14525)*s(14534) s(14541) =< s(14524)*s(14533) s(14542) =< s(14521)*s(14535) s(14543) =< s(14521)*s(14533) s(14544) =< s(14520)*s(14536) s(14545) =< s(14518)*s(14535) s(14546) =< s(14517)*s(14536) s(14547) =< s(14516)*s(14536) s(14531) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14530) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14526) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14527) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14528) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14514) =< aux(818)*(13/32)+s(14507)*(1/32)+s(14506)*(7/32)+aux(827) s(14548) =< s(14514)*s(14532) s(14549) =< s(14514)*s(14534) s(14550) =< s(14528)*s(14537) s(14551) =< s(14527)*s(14535) s(14552) =< s(14530)*s(14537) s(14553) =< s(14531)*aux(817) s(14554) =< s(14538) s(14555) =< s(14540) s(14539) =< s(14540) s(14556) =< s(14529) s(14557) =< s(14541) s(14558) =< s(14543) s(14559) =< s(14547) s(14560) =< s(14549) s(14561) =< s(14548) s(14561) =< s(14549) s(14562) =< s(14549) s(14562) =< s(14548) s(14563) =< s(14562) s(14564) =< s(14548) s(14565) =< s(14551) s(14566) =< s(14552) s(14567) =< s(14553) s(14857) =< aux(817) s(15604) =< aux(813) s(15605) =< s(15570) s(15604) =< aux(814) s(14604) =< aux(834) s(15605) =< aux(814) s(15720) =< aux(818) s(15720) =< aux(817) s(16117) =< aux(848) s(16119) =< aux(848) s(16120) =< aux(848) s(16121) =< aux(848) s(16122) =< aux(848) s(16123) =< aux(848) s(16124) =< aux(848) s(16125) =< aux(848) s(16126) =< aux(848) s(16127) =< aux(848) s(16128) =< aux(848) s(16061) =< aux(848) s(16060) =< aux(848) s(16061) =< aux(850) s(16060) =< aux(850) s(16129) =< aux(851) s(16130) =< aux(851) s(16131) =< aux(851) s(16119) =< aux(852) s(16130) =< aux(853) s(16132) =< aux(854) s(16120) =< aux(854) s(16121) =< aux(854) s(16123) =< aux(854) s(16124) =< aux(854) s(16126) =< aux(854) s(16127) =< aux(854) s(16061) =< aux(854) s(16131) =< aux(857) s(16133) =< aux(858) s(16134) =< aux(859) s(16125) =< aux(860) s(16126) =< aux(860) s(16127) =< aux(860) s(16061) =< aux(860) s(16124) =< aux(861) s(16126) =< aux(861) s(16121) =< aux(862) s(16135) =< aux(849)+3 s(16136) =< aux(849)+4 s(16137) =< aux(849)+5 s(16138) =< aux(849)+1 s(16139) =< aux(849)+2 s(16140) =< aux(849)-2 s(16132) =< aux(850)*(1/3)+aux(854) s(16120) =< aux(850)*(1/3)+aux(854) s(16121) =< aux(850)*(1/3)+aux(854) s(16122) =< aux(850)*(1/3)+aux(854) s(16123) =< aux(850)*(1/3)+aux(854) s(16124) =< aux(850)*(1/3)+aux(854) s(16125) =< aux(850)*(1/3)+aux(854) s(16126) =< aux(850)*(1/3)+aux(854) s(16128) =< aux(850)*(1/3)+aux(854) s(16061) =< aux(850)*(1/3)+aux(854) s(16127) =< aux(850)*(1/3)+aux(854) s(16124) =< aux(850)*(3/7)+aux(861) s(16125) =< aux(850)*(3/7)+aux(861) s(16126) =< aux(850)*(3/7)+aux(861) s(16127) =< aux(850)*(3/7)+aux(861) s(16128) =< aux(850)*(3/7)+aux(861) s(16125) =< aux(850)*(1/5)+aux(860) s(16126) =< aux(850)*(1/5)+aux(860) s(16127) =< aux(850)*(1/5)+aux(860) s(16128) =< aux(850)*(1/5)+aux(860) s(16061) =< aux(850)*(1/5)+aux(860) s(16121) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16122) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16123) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16124) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16125) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16126) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16127) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16128) =< aux(850)*(5/9)+s(16060)*(1/9)+aux(862) s(16119) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16120) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16121) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16122) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16123) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16124) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16125) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16126) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16127) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16128) =< aux(850)*(2/3)+s(16060)*(1/3)+aux(852) s(16131) =< aux(850)*(7/20)+s(16060)*(1/20)+aux(857) s(16117) =< aux(850)*(7/20)+s(16060)*(1/20)+aux(857) s(16130) =< aux(850)*(3/8)+s(16060)*(1/8)+aux(853) s(16131) =< aux(850)*(3/8)+s(16060)*(1/8)+aux(853) s(16117) =< aux(850)*(3/8)+s(16060)*(1/8)+aux(853) s(16129) =< aux(850)*(1/4)+aux(851) s(16130) =< aux(850)*(1/4)+aux(851) s(16131) =< aux(850)*(1/4)+aux(851) s(16117) =< aux(850)*(1/4)+aux(851) s(16133) =< aux(850)*(5/13)+s(16060)*(2/13)+aux(858) s(16129) =< aux(850)*(5/13)+s(16060)*(2/13)+aux(858) s(16130) =< aux(850)*(5/13)+s(16060)*(2/13)+aux(858) s(16131) =< aux(850)*(5/13)+s(16060)*(2/13)+aux(858) s(16117) =< aux(850)*(5/13)+s(16060)*(2/13)+aux(858) s(16141) =< s(16128)*s(16135) s(16142) =< s(16128)*s(16136) s(16143) =< s(16128)*s(16137) s(16144) =< s(16127)*s(16136) s(16145) =< s(16124)*s(16138) s(16146) =< s(16124)*s(16136) s(16147) =< s(16123)*s(16139) s(16148) =< s(16121)*s(16138) s(16149) =< s(16120)*s(16139) s(16150) =< s(16119)*s(16139) s(16134) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16133) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16129) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16130) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16131) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16117) =< aux(850)*(13/32)+s(16061)*(1/32)+s(16060)*(7/32)+aux(859) s(16151) =< s(16117)*s(16135) s(16152) =< s(16117)*s(16137) s(16153) =< s(16131)*s(16140) s(16154) =< s(16130)*s(16138) s(16155) =< s(16133)*s(16140) s(16156) =< s(16134)*aux(849) s(16157) =< s(16141) s(16158) =< s(16143) s(16142) =< s(16143) s(16159) =< s(16132) s(16160) =< s(16144) s(16161) =< s(16146) s(16162) =< s(16150) s(16163) =< s(16152) s(16164) =< s(16151) s(16164) =< s(16152) s(16165) =< s(16152) s(16165) =< s(16151) s(16166) =< s(16165) s(16167) =< s(16151) s(16168) =< s(16154) s(16169) =< s(16155) s(16170) =< s(16156) s(16225) =< aux(849) s(14481) =< s(14476) s(14481) =< aux(815) s(14482) =< aux(815) s(14482) =< s(14476) s(14483) =< s(14482) s(14477) =< aux(815) s(14452) =< s(14447) s(14452) =< aux(833) s(14453) =< aux(833) s(14453) =< s(14447) s(14454) =< s(14453) s(14448) =< aux(833) with precondition: [] Closed-form bounds of start(V1,V,V15): ------------------------------------- * Chain [108] with precondition: [] - Upper bound: nat(V1)*46438+859+nat(V1)*12144*nat(2*V1)+nat(V)*46462+nat(V)*12144*nat(2*V)+nat(V15)*24652+nat(V15)*6440*nat(2*V15)+nat(nat(2*V1)+ -2)*198*nat(3/13*V1)+nat(nat(2*V1)+ -2)*132*nat(V1/2)+nat(nat(2*V)+ -2)*198*nat(3/13*V)+nat(nat(2*V)+ -2)*132*nat(V/2)+nat(nat(2*V15)+ -2)*105*nat(3/13*V15)+nat(nat(2*V15)+ -2)*70*nat(V15/2)+nat(2*V1)*104+nat(2*V1)*660*nat(3/16*V1)+nat(2*V1)*594*nat(V1/2)+nat(2*V)*344+nat(2*V)*660*nat(3/16*V)+nat(2*V)*594*nat(V/2)+nat(2*V15)*86+nat(2*V15)*350*nat(3/16*V15)+nat(2*V15)*315*nat(V15/2)+nat(2/3*V1)*198+nat(2/3*V)*198+nat(2/3*V15)*105+nat(3/13*V1)*330+nat(3/13*V)*330+nat(3/13*V15)*175+nat(3/16*V1)*330+nat(3/16*V)*330+nat(3/16*V15)*175+nat(2*V1+1)*8+nat(V1-V+1)*12+nat(V-2*V15+1)*12+nat(V1-V)*4+nat(V-V15)*25+nat(V-2*V15)*4+nat(V1/2)*1320+nat(V/2)*1320+nat(V15/2)*700 - Complexity: n^2 ### Maximum cost of start(V1,V,V15): nat(V1)*46438+859+nat(V1)*12144*nat(2*V1)+nat(V)*46462+nat(V)*12144*nat(2*V)+nat(V15)*24652+nat(V15)*6440*nat(2*V15)+nat(nat(2*V1)+ -2)*198*nat(3/13*V1)+nat(nat(2*V1)+ -2)*132*nat(V1/2)+nat(nat(2*V)+ -2)*198*nat(3/13*V)+nat(nat(2*V)+ -2)*132*nat(V/2)+nat(nat(2*V15)+ -2)*105*nat(3/13*V15)+nat(nat(2*V15)+ -2)*70*nat(V15/2)+nat(2*V1)*104+nat(2*V1)*660*nat(3/16*V1)+nat(2*V1)*594*nat(V1/2)+nat(2*V)*344+nat(2*V)*660*nat(3/16*V)+nat(2*V)*594*nat(V/2)+nat(2*V15)*86+nat(2*V15)*350*nat(3/16*V15)+nat(2*V15)*315*nat(V15/2)+nat(2/3*V1)*198+nat(2/3*V)*198+nat(2/3*V15)*105+nat(3/13*V1)*330+nat(3/13*V)*330+nat(3/13*V15)*175+nat(3/16*V1)*330+nat(3/16*V)*330+nat(3/16*V15)*175+nat(2*V1+1)*8+nat(V1-V+1)*12+nat(V-2*V15+1)*12+nat(V1-V)*4+nat(V-V15)*25+nat(V-2*V15)*4+nat(V1/2)*1320+nat(V/2)*1320+nat(V15/2)*700 Asymptotic class: n^2 * Total analysis performed in 157251 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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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(x, s(y)) ->^+ pred(minus(x, y)) gives rise to a decreasing loop by considering the right hand sides subterm at position [0]. The pumping substitution is [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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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) pred(s(x)) -> x minus(x, 0) -> x minus(x, s(y)) -> pred(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_pred(x_1)) -> pred(encArg(x_1)) 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_pred(x_1) -> pred(encArg(x_1)) 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