/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), O(n^3)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^2, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 351 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), 9 ms] (12) CpxRNTS (13) CompleteCoflocoProof [FINISHED, 186.5 s] (14) BOUNDS(1, n^3) (15) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRelTRS (17) TypeInferenceProof [BOTH BOUNDS(ID, ID), 4 ms] (18) typed CpxTrs (19) OrderProof [LOWER BOUND(ID), 0 ms] (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 282 ms] (22) BEST (23) proven lower bound (24) LowerBoundPropagationProof [FINISHED, 0 ms] (25) BOUNDS(n^1, INF) (26) typed CpxTrs (27) RewriteLemmaProof [LOWER BOUND(ID), 58 ms] (28) BEST (29) proven lower bound (30) LowerBoundPropagationProof [FINISHED, 0 ms] (31) BOUNDS(n^2, INF) (32) typed CpxTrs (33) RewriteLemmaProof [LOWER BOUND(ID), 408 ms] (34) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^2, n^3). The TRS R consists of the following rules: nonZero(0) -> false nonZero(s(x)) -> true p(s(0)) -> 0 p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0) rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) 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(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0 encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(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^2, n^3). The TRS R consists of the following rules: nonZero(0) -> false nonZero(s(x)) -> true p(s(0)) -> 0 p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0) rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0 encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(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^2, n^3). The TRS R consists of the following rules: nonZero(0) -> false nonZero(s(x)) -> true p(s(0)) -> 0 p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0) rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) The (relative) TRS S consists of the following rules: encArg(0) -> 0 encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0 encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(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^3). The TRS R consists of the following rules: nonZero(0) -> false [1] nonZero(s(x)) -> true [1] p(s(0)) -> 0 [1] p(s(s(x))) -> s(p(s(x))) [1] id_inc(x) -> x [1] id_inc(x) -> s(x) [1] random(x) -> rand(x, 0) [1] rand(x, y) -> if(nonZero(x), x, y) [1] if(false, x, y) -> y [1] if(true, x, y) -> rand(p(x), id_inc(y)) [1] encArg(0) -> 0 [0] encArg(false) -> false [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(true) -> true [0] encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) [0] encArg(cons_p(x_1)) -> p(encArg(x_1)) [0] encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) [0] encArg(cons_random(x_1)) -> random(encArg(x_1)) [0] encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) [0] encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_nonZero(x_1) -> nonZero(encArg(x_1)) [0] encode_0 -> 0 [0] encode_false -> false [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_true -> true [0] encode_p(x_1) -> p(encArg(x_1)) [0] encode_id_inc(x_1) -> id_inc(encArg(x_1)) [0] encode_random(x_1) -> random(encArg(x_1)) [0] encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) [0] encode_if(x_1, x_2, x_3) -> if(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: nonZero(0) -> false [1] nonZero(s(x)) -> true [1] p(s(0)) -> 0 [1] p(s(s(x))) -> s(p(s(x))) [1] id_inc(x) -> x [1] id_inc(x) -> s(x) [1] random(x) -> rand(x, 0) [1] rand(x, y) -> if(nonZero(x), x, y) [1] if(false, x, y) -> y [1] if(true, x, y) -> rand(p(x), id_inc(y)) [1] encArg(0) -> 0 [0] encArg(false) -> false [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(true) -> true [0] encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) [0] encArg(cons_p(x_1)) -> p(encArg(x_1)) [0] encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) [0] encArg(cons_random(x_1)) -> random(encArg(x_1)) [0] encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) [0] encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_nonZero(x_1) -> nonZero(encArg(x_1)) [0] encode_0 -> 0 [0] encode_false -> false [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_true -> true [0] encode_p(x_1) -> p(encArg(x_1)) [0] encode_id_inc(x_1) -> id_inc(encArg(x_1)) [0] encode_random(x_1) -> random(encArg(x_1)) [0] encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) [0] encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) [0] The TRS has the following type information: nonZero :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0 :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 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_nonZero(v0) -> null_encode_nonZero [0] encode_0 -> null_encode_0 [0] encode_false -> null_encode_false [0] encode_s(v0) -> null_encode_s [0] encode_true -> null_encode_true [0] encode_p(v0) -> null_encode_p [0] encode_id_inc(v0) -> null_encode_id_inc [0] encode_random(v0) -> null_encode_random [0] encode_rand(v0, v1) -> null_encode_rand [0] encode_if(v0, v1, v2) -> null_encode_if [0] nonZero(v0) -> null_nonZero [0] p(v0) -> null_p [0] if(v0, v1, v2) -> null_if [0] And the following fresh constants: null_encArg, null_encode_nonZero, null_encode_0, null_encode_false, null_encode_s, null_encode_true, null_encode_p, null_encode_id_inc, null_encode_random, null_encode_rand, null_encode_if, null_nonZero, null_p, null_if ---------------------------------------- (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: nonZero(0) -> false [1] nonZero(s(x)) -> true [1] p(s(0)) -> 0 [1] p(s(s(x))) -> s(p(s(x))) [1] id_inc(x) -> x [1] id_inc(x) -> s(x) [1] random(x) -> rand(x, 0) [1] rand(x, y) -> if(nonZero(x), x, y) [1] if(false, x, y) -> y [1] if(true, x, y) -> rand(p(x), id_inc(y)) [1] encArg(0) -> 0 [0] encArg(false) -> false [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(true) -> true [0] encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) [0] encArg(cons_p(x_1)) -> p(encArg(x_1)) [0] encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) [0] encArg(cons_random(x_1)) -> random(encArg(x_1)) [0] encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) [0] encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_nonZero(x_1) -> nonZero(encArg(x_1)) [0] encode_0 -> 0 [0] encode_false -> false [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_true -> true [0] encode_p(x_1) -> p(encArg(x_1)) [0] encode_id_inc(x_1) -> id_inc(encArg(x_1)) [0] encode_random(x_1) -> random(encArg(x_1)) [0] encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) [0] encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(v0) -> null_encArg [0] encode_nonZero(v0) -> null_encode_nonZero [0] encode_0 -> null_encode_0 [0] encode_false -> null_encode_false [0] encode_s(v0) -> null_encode_s [0] encode_true -> null_encode_true [0] encode_p(v0) -> null_encode_p [0] encode_id_inc(v0) -> null_encode_id_inc [0] encode_random(v0) -> null_encode_random [0] encode_rand(v0, v1) -> null_encode_rand [0] encode_if(v0, v1, v2) -> null_encode_if [0] nonZero(v0) -> null_nonZero [0] p(v0) -> null_p [0] if(v0, v1, v2) -> null_if [0] The TRS has the following type information: nonZero :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if 0 :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if false :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if s :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if -> 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if true :: 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0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_encode_id_inc :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_encode_random :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_encode_rand :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_encode_if :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_nonZero :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_p :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if null_if :: 0:false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if:null_encArg:null_encode_nonZero:null_encode_0:null_encode_false:null_encode_s:null_encode_true:null_encode_p:null_encode_id_inc:null_encode_random:null_encode_rand:null_encode_if:null_nonZero:null_p:null_if 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 false => 1 true => 2 null_encArg => 0 null_encode_nonZero => 0 null_encode_0 => 0 null_encode_false => 0 null_encode_s => 0 null_encode_true => 0 null_encode_p => 0 null_encode_id_inc => 0 null_encode_random => 0 null_encode_rand => 0 null_encode_if => 0 null_nonZero => 0 null_p => 0 null_if => 0 ---------------------------------------- (12) Obligation: Complexity RNTS consisting of the following rules: encArg(z) -{ 0 }-> random(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> rand(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> p(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> nonZero(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> if(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 }-> id_inc(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 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_id_inc(z) -{ 0 }-> id_inc(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_id_inc(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_if(z, z', z'') -{ 0 }-> if(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(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 encode_nonZero(z) -{ 0 }-> nonZero(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_nonZero(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_p(z) -{ 0 }-> p(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_p(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_rand(z, z') -{ 0 }-> rand(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_rand(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_random(z) -{ 0 }-> random(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_random(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 :|: id_inc(z) -{ 1 }-> x :|: x >= 0, z = x id_inc(z) -{ 1 }-> 1 + x :|: x >= 0, z = x if(z, z', z'') -{ 1 }-> y :|: z' = x, z'' = y, z = 1, x >= 0, y >= 0 if(z, z', z'') -{ 1 }-> rand(p(x), id_inc(y)) :|: z = 2, z' = x, z'' = y, x >= 0, y >= 0 if(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 nonZero(z) -{ 1 }-> 2 :|: x >= 0, z = 1 + x nonZero(z) -{ 1 }-> 1 :|: z = 0 nonZero(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 p(z) -{ 1 }-> 0 :|: z = 1 + 0 p(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 p(z) -{ 1 }-> 1 + p(1 + x) :|: x >= 0, z = 1 + (1 + x) rand(z, z') -{ 1 }-> if(nonZero(x), x, y) :|: x >= 0, y >= 0, z = x, z' = y random(z) -{ 1 }-> rand(x, 0) :|: x >= 0, z = x 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(V, V6, V9),0,[nonZero(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[p(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[random(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[rand(V, V6, Out)],[V >= 0,V6 >= 0]). eq(start(V, V6, V9),0,[if(V, V6, V9, Out)],[V >= 0,V6 >= 0,V9 >= 0]). eq(start(V, V6, V9),0,[encArg(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun1(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun2(Out)],[]). eq(start(V, V6, V9),0,[fun3(Out)],[]). eq(start(V, V6, V9),0,[fun4(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun5(Out)],[]). eq(start(V, V6, V9),0,[fun6(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun7(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun8(V, Out)],[V >= 0]). eq(start(V, V6, V9),0,[fun9(V, V6, Out)],[V >= 0,V6 >= 0]). eq(start(V, V6, V9),0,[fun10(V, V6, V9, Out)],[V >= 0,V6 >= 0,V9 >= 0]). eq(nonZero(V, Out),1,[],[Out = 1,V = 0]). eq(nonZero(V, Out),1,[],[Out = 2,V1 >= 0,V = 1 + V1]). eq(p(V, Out),1,[],[Out = 0,V = 1]). eq(p(V, Out),1,[p(1 + V2, Ret1)],[Out = 1 + Ret1,V2 >= 0,V = 2 + V2]). eq(fun(V, Out),1,[],[Out = V3,V3 >= 0,V = V3]). eq(fun(V, Out),1,[],[Out = 1 + V4,V4 >= 0,V = V4]). eq(random(V, Out),1,[rand(V5, 0, Ret)],[Out = Ret,V5 >= 0,V = V5]). eq(rand(V, V6, Out),1,[nonZero(V7, Ret0),if(Ret0, V7, V8, Ret2)],[Out = Ret2,V7 >= 0,V8 >= 0,V = V7,V6 = V8]). eq(if(V, V6, V9, Out),1,[],[Out = V11,V6 = V10,V9 = V11,V = 1,V10 >= 0,V11 >= 0]). eq(if(V, V6, V9, Out),1,[p(V13, Ret01),fun(V12, Ret11),rand(Ret01, Ret11, Ret3)],[Out = Ret3,V = 2,V6 = V13,V9 = V12,V13 >= 0,V12 >= 0]). eq(encArg(V, Out),0,[],[Out = 0,V = 0]). eq(encArg(V, Out),0,[],[Out = 1,V = 1]). eq(encArg(V, Out),0,[encArg(V14, Ret12)],[Out = 1 + Ret12,V = 1 + V14,V14 >= 0]). eq(encArg(V, Out),0,[],[Out = 2,V = 2]). eq(encArg(V, Out),0,[encArg(V15, Ret02),nonZero(Ret02, Ret4)],[Out = Ret4,V = 1 + V15,V15 >= 0]). eq(encArg(V, Out),0,[encArg(V16, Ret03),p(Ret03, Ret5)],[Out = Ret5,V = 1 + V16,V16 >= 0]). eq(encArg(V, Out),0,[encArg(V17, Ret04),fun(Ret04, Ret6)],[Out = Ret6,V = 1 + V17,V17 >= 0]). eq(encArg(V, Out),0,[encArg(V18, Ret05),random(Ret05, Ret7)],[Out = Ret7,V = 1 + V18,V18 >= 0]). eq(encArg(V, Out),0,[encArg(V20, Ret06),encArg(V19, Ret13),rand(Ret06, Ret13, Ret8)],[Out = Ret8,V20 >= 0,V = 1 + V19 + V20,V19 >= 0]). eq(encArg(V, Out),0,[encArg(V23, Ret07),encArg(V22, Ret14),encArg(V21, Ret21),if(Ret07, Ret14, Ret21, Ret9)],[Out = Ret9,V23 >= 0,V = 1 + V21 + V22 + V23,V21 >= 0,V22 >= 0]). eq(fun1(V, Out),0,[encArg(V24, Ret08),nonZero(Ret08, Ret10)],[Out = Ret10,V24 >= 0,V = V24]). eq(fun2(Out),0,[],[Out = 0]). eq(fun3(Out),0,[],[Out = 1]). eq(fun4(V, Out),0,[encArg(V25, Ret15)],[Out = 1 + Ret15,V25 >= 0,V = V25]). eq(fun5(Out),0,[],[Out = 2]). eq(fun6(V, Out),0,[encArg(V26, Ret09),p(Ret09, Ret16)],[Out = Ret16,V26 >= 0,V = V26]). eq(fun7(V, Out),0,[encArg(V27, Ret010),fun(Ret010, Ret17)],[Out = Ret17,V27 >= 0,V = V27]). eq(fun8(V, Out),0,[encArg(V28, Ret011),random(Ret011, Ret18)],[Out = Ret18,V28 >= 0,V = V28]). eq(fun9(V, V6, Out),0,[encArg(V30, Ret012),encArg(V29, Ret19),rand(Ret012, Ret19, Ret20)],[Out = Ret20,V30 >= 0,V29 >= 0,V = V30,V6 = V29]). eq(fun10(V, V6, V9, Out),0,[encArg(V33, Ret013),encArg(V31, Ret110),encArg(V32, Ret22),if(Ret013, Ret110, Ret22, Ret23)],[Out = Ret23,V33 >= 0,V32 >= 0,V31 >= 0,V = V33,V6 = V31,V9 = V32]). eq(encArg(V, Out),0,[],[Out = 0,V34 >= 0,V = V34]). eq(fun1(V, Out),0,[],[Out = 0,V35 >= 0,V = V35]). eq(fun3(Out),0,[],[Out = 0]). eq(fun4(V, Out),0,[],[Out = 0,V36 >= 0,V = V36]). eq(fun5(Out),0,[],[Out = 0]). eq(fun6(V, Out),0,[],[Out = 0,V37 >= 0,V = V37]). eq(fun7(V, Out),0,[],[Out = 0,V38 >= 0,V = V38]). eq(fun8(V, Out),0,[],[Out = 0,V39 >= 0,V = V39]). eq(fun9(V, V6, Out),0,[],[Out = 0,V40 >= 0,V41 >= 0,V = V40,V6 = V41]). eq(fun10(V, V6, V9, Out),0,[],[Out = 0,V42 >= 0,V9 = V44,V43 >= 0,V = V42,V6 = V43,V44 >= 0]). eq(nonZero(V, Out),0,[],[Out = 0,V45 >= 0,V = V45]). eq(p(V, Out),0,[],[Out = 0,V46 >= 0,V = V46]). eq(if(V, V6, V9, Out),0,[],[Out = 0,V47 >= 0,V9 = V48,V49 >= 0,V = V47,V6 = V49,V48 >= 0]). input_output_vars(nonZero(V,Out),[V],[Out]). input_output_vars(p(V,Out),[V],[Out]). input_output_vars(fun(V,Out),[V],[Out]). input_output_vars(random(V,Out),[V],[Out]). input_output_vars(rand(V,V6,Out),[V,V6],[Out]). input_output_vars(if(V,V6,V9,Out),[V,V6,V9],[Out]). input_output_vars(encArg(V,Out),[V],[Out]). input_output_vars(fun1(V,Out),[V],[Out]). input_output_vars(fun2(Out),[],[Out]). input_output_vars(fun3(Out),[],[Out]). input_output_vars(fun4(V,Out),[V],[Out]). input_output_vars(fun5(Out),[],[Out]). input_output_vars(fun6(V,Out),[V],[Out]). input_output_vars(fun7(V,Out),[V],[Out]). input_output_vars(fun8(V,Out),[V],[Out]). input_output_vars(fun9(V,V6,Out),[V,V6],[Out]). input_output_vars(fun10(V,V6,V9,Out),[V,V6,V9],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. non_recursive : [fun/2] 1. recursive : [p/2] 2. non_recursive : [nonZero/2] 3. recursive : [if/4,rand/3] 4. non_recursive : [random/2] 5. recursive [non_tail,multiple] : [encArg/2] 6. non_recursive : [fun1/2] 7. non_recursive : [fun10/4] 8. non_recursive : [fun2/1] 9. non_recursive : [fun3/1] 10. non_recursive : [fun4/2] 11. non_recursive : [fun5/1] 12. non_recursive : [fun6/2] 13. non_recursive : [fun7/2] 14. non_recursive : [fun8/2] 15. non_recursive : [fun9/3] 16. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into fun/2 1. SCC is partially evaluated into p/2 2. SCC is partially evaluated into nonZero/2 3. SCC is partially evaluated into rand/3 4. SCC is completely evaluated into other SCCs 5. SCC is partially evaluated into encArg/2 6. SCC is partially evaluated into fun1/2 7. SCC is partially evaluated into fun10/4 8. SCC is completely evaluated into other SCCs 9. SCC is partially evaluated into fun3/1 10. SCC is partially evaluated into fun4/2 11. SCC is partially evaluated into fun5/1 12. SCC is partially evaluated into fun6/2 13. SCC is partially evaluated into fun7/2 14. SCC is partially evaluated into fun8/2 15. SCC is partially evaluated into fun9/3 16. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations fun/2 * CE 22 is refined into CE [62] * CE 23 is refined into CE [63] ### Cost equations --> "Loop" of fun/2 * CEs [62] --> Loop 31 * CEs [63] --> Loop 32 ### Ranking functions of CR fun(V,Out) #### Partial ranking functions of CR fun(V,Out) ### Specialization of cost equations p/2 * CE 19 is refined into CE [64] * CE 21 is refined into CE [65] * CE 20 is refined into CE [66] ### Cost equations --> "Loop" of p/2 * CEs [66] --> Loop 33 * CEs [64,65] --> Loop 34 ### Ranking functions of CR p(V,Out) * RF of phase [33]: [V-1] #### Partial ranking functions of CR p(V,Out) * Partial RF of phase [33]: - RF of loop [33:1]: V-1 ### Specialization of cost equations nonZero/2 * CE 28 is refined into CE [67] * CE 29 is refined into CE [68] * CE 27 is refined into CE [69] ### Cost equations --> "Loop" of nonZero/2 * CEs [67] --> Loop 35 * CEs [68] --> Loop 36 * CEs [69] --> Loop 37 ### Ranking functions of CR nonZero(V,Out) #### Partial ranking functions of CR nonZero(V,Out) ### Specialization of cost equations rand/3 * CE 26 is refined into CE [70] * CE 24 is refined into CE [71,72,73] * CE 25 is refined into CE [74,75,76,77] ### Cost equations --> "Loop" of rand/3 * CEs [77] --> Loop 38 * CEs [76] --> Loop 39 * CEs [75] --> Loop 40 * CEs [74] --> Loop 41 * CEs [70] --> Loop 42 * CEs [71,72,73] --> Loop 43 ### Ranking functions of CR rand(V,V6,Out) * RF of phase [38,39]: [V-1] #### Partial ranking functions of CR rand(V,V6,Out) * Partial RF of phase [38,39]: - RF of loop [38:1,39:1]: V-1 ### Specialization of cost equations encArg/2 * CE 33 is refined into CE [78] * CE 36 is refined into CE [79] * CE 34 is refined into CE [80] * CE 41 is refined into CE [81,82,83,84,85,86] * CE 35 is refined into CE [87] * CE 37 is refined into CE [88,89,90] * CE 38 is refined into CE [91,92] * CE 39 is refined into CE [93,94] * CE 40 is refined into CE [95,96,97,98,99,100] * CE 31 is refined into CE [101,102,103,104,105,106,107,108,109,110,111,112,113,114] * CE 32 is refined into CE [115] * CE 30 is refined into CE [116] ### Cost equations --> "Loop" of encArg/2 * CEs [109] --> Loop 44 * CEs [108,114] --> Loop 45 * CEs [113] --> Loop 46 * CEs [106] --> Loop 47 * CEs [103,112] --> Loop 48 * CEs [101,107,111] --> Loop 49 * CEs [115] --> Loop 50 * CEs [102,104,105,110,116] --> Loop 51 * CEs [100] --> Loop 52 * CEs [92,99] --> Loop 53 * CEs [94] --> Loop 54 * CEs [90] --> Loop 55 * CEs [97] --> Loop 56 * CEs [87,88,93] --> Loop 57 * CEs [89,91,95,96,98] --> Loop 58 * CEs [86] --> Loop 59 * CEs [85] --> Loop 60 * CEs [84] --> Loop 61 * CEs [83] --> Loop 62 * CEs [81] --> Loop 63 * CEs [82] --> Loop 64 * CEs [78] --> Loop 65 * CEs [79] --> Loop 66 * CEs [80] --> Loop 67 ### Ranking functions of CR encArg(V,Out) * RF of phase [44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]: [V] #### Partial ranking functions of CR encArg(V,Out) * Partial RF of phase [44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]: - RF of loop [44:1,44:2,44:3,45:1,45:2,45:3,46:1,46:2,46:3,47:1,47:2,47:3,48:1,48:2,48:3,49:1,49:2,49:3,50:1,50:2,50:3,51:1,51:2,51:3,52:1,53:1,54:1,55:1,56:1,57:1,58:1,59:1,59:2,60:1,60:2,61:1,61:2,62:1,62:2,63:1,63:2,64:1,64:2]: V ### Specialization of cost equations fun1/2 * CE 42 is refined into CE [117,118,119,120,121,122,123] * CE 43 is refined into CE [124] ### Cost equations --> "Loop" of fun1/2 * CEs [117,122] --> Loop 68 * CEs [119,121] --> Loop 69 * CEs [118,120,123,124] --> Loop 70 ### Ranking functions of CR fun1(V,Out) #### Partial ranking functions of CR fun1(V,Out) ### Specialization of cost equations fun10/4 * CE 58 is refined into CE [125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151] * CE 59 is refined into CE [152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319] * CE 60 is refined into CE [320,321,322,323,324,325,326,327,328] * CE 61 is refined into CE [329] ### Cost equations --> "Loop" of fun10/4 * CEs [174] --> Loop 71 * CEs [173,179] --> Loop 72 * CEs [178] --> Loop 73 * CEs [219] --> Loop 74 * CEs [214,220,222] --> Loop 75 * CEs [199,209] --> Loop 76 * CEs [194,200,202,204,210,212] --> Loop 77 * CEs [196,203,206,213,323,324] --> Loop 78 * CEs [128,129,130,146,147,148,195,197,198,201,205,207,208,211,215,216,217,218,221,223,325] --> Loop 79 * CEs [164,248] --> Loop 80 * CEs [187,193,271,277] --> Loop 81 * CEs [192,276] --> Loop 82 * CEs [160,244,258] --> Loop 83 * CEs [159,165,243,249,257,263] --> Loop 84 * CEs [188,262,272] --> Loop 85 * CEs [171,255] --> Loop 86 * CEs [166,172,176,228,250,256,260,312] --> Loop 87 * CEs [168,177,230,252,261,314,321,327] --> Loop 88 * CEs [126,132,135,141,144,150,167,169,170,175,229,231,251,253,254,259,313,315] --> Loop 89 * CEs [154,163,226,238,247,280,287,310,320,326] --> Loop 90 * CEs [180,186,190,232,264,270,274,298,304,306,316] --> Loop 91 * CEs [157,241,283,293] --> Loop 92 * CEs [152,158,162,224,236,242,246,278,284,286,288,294,296,308] --> Loop 93 * CEs [185,269,290,297,303] --> Loop 94 * CEs [125,127,131,133,134,136,137,138,139,140,142,143,145,149,151,153,155,156,161,181,182,183,184,189,191,225,227,233,234,235,237,239,240,245,265,266,267,268,273,275,279,281,282,285,289,291,292,295,299,300,301,302,305,307,309,311,317,318,319,322,328,329] --> Loop 95 ### Ranking functions of CR fun10(V,V6,V9,Out) #### Partial ranking functions of CR fun10(V,V6,V9,Out) ### Specialization of cost equations fun3/1 * CE 44 is refined into CE [330] * CE 45 is refined into CE [331] ### Cost equations --> "Loop" of fun3/1 * CEs [330] --> Loop 96 * CEs [331] --> Loop 97 ### Ranking functions of CR fun3(Out) #### Partial ranking functions of CR fun3(Out) ### Specialization of cost equations fun4/2 * CE 46 is refined into CE [332,333,334] * CE 47 is refined into CE [335] ### Cost equations --> "Loop" of fun4/2 * CEs [334] --> Loop 98 * CEs [335] --> Loop 99 * CEs [332,333] --> Loop 100 ### Ranking functions of CR fun4(V,Out) #### Partial ranking functions of CR fun4(V,Out) ### Specialization of cost equations fun5/1 * CE 48 is refined into CE [336] * CE 49 is refined into CE [337] ### Cost equations --> "Loop" of fun5/1 * CEs [336] --> Loop 101 * CEs [337] --> Loop 102 ### Ranking functions of CR fun5(Out) #### Partial ranking functions of CR fun5(Out) ### Specialization of cost equations fun6/2 * CE 50 is refined into CE [338,339,340,341,342] * CE 51 is refined into CE [343] ### Cost equations --> "Loop" of fun6/2 * CEs [339,341] --> Loop 103 * CEs [338,340,342,343] --> Loop 104 ### Ranking functions of CR fun6(V,Out) #### Partial ranking functions of CR fun6(V,Out) ### Specialization of cost equations fun7/2 * CE 52 is refined into CE [344,345,346,347,348,349] * CE 53 is refined into CE [350] ### Cost equations --> "Loop" of fun7/2 * CEs [348] --> Loop 105 * CEs [349,350] --> Loop 106 * CEs [344,346] --> Loop 107 * CEs [345,347] --> Loop 108 ### Ranking functions of CR fun7(V,Out) #### Partial ranking functions of CR fun7(V,Out) ### Specialization of cost equations fun8/2 * CE 54 is refined into CE [351,352,353,354,355,356,357,358,359,360,361,362,363] * CE 55 is refined into CE [364] ### Cost equations --> "Loop" of fun8/2 * CEs [353] --> Loop 109 * CEs [351,352,354,362,363,364] --> Loop 110 * CEs [356,358,361] --> Loop 111 * CEs [355,357,359,360] --> Loop 112 ### Ranking functions of CR fun8(V,Out) #### Partial ranking functions of CR fun8(V,Out) ### Specialization of cost equations fun9/3 * CE 56 is refined into CE [365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403] * CE 57 is refined into CE [404] ### Cost equations --> "Loop" of fun9/3 * CEs [379] --> Loop 113 * CEs [376] --> Loop 114 * CEs [375] --> Loop 115 * CEs [367,373] --> Loop 116 * CEs [365,368,371,374,398,400] --> Loop 117 * CEs [366,372,377,378,380,399,401,402,403,404] --> Loop 118 * CEs [382,394,397] --> Loop 119 * CEs [370,387,389,392] --> Loop 120 * CEs [369,384,385,386,390,391] --> Loop 121 * CEs [381,383,388,393,395,396] --> Loop 122 ### Ranking functions of CR fun9(V,V6,Out) #### Partial ranking functions of CR fun9(V,V6,Out) ### Specialization of cost equations start/3 * CE 1 is refined into CE [405] * CE 2 is refined into CE [406,407,408,409,410,411,412,413,414,415,416,417,418,419] * CE 3 is refined into CE [420] * CE 4 is refined into CE [421,422,423] * CE 5 is refined into CE [424,425] * CE 6 is refined into CE [426,427] * CE 7 is refined into CE [428,429,430,431,432,433] * CE 8 is refined into CE [434,435,436,437,438,439] * CE 9 is refined into CE [440,441,442] * CE 10 is refined into CE [443,444,445] * CE 11 is refined into CE [446,447] * CE 12 is refined into CE [448,449,450] * CE 13 is refined into CE [451,452] * CE 14 is refined into CE [453,454] * CE 15 is refined into CE [455,456,457,458] * CE 16 is refined into CE [459,460,461,462] * CE 17 is refined into CE [463,464,465,466,467,468,469,470] * CE 18 is refined into CE [471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486] ### Cost equations --> "Loop" of start/3 * CEs [405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486] --> Loop 123 ### Ranking functions of CR start(V,V6,V9) #### Partial ranking functions of CR start(V,V6,V9) Computing Bounds ===================================== #### Cost of chains of fun(V,Out): * Chain [32]: 1 with precondition: [V+1=Out,V>=0] * Chain [31]: 1 with precondition: [V=Out,V>=0] #### Cost of chains of p(V,Out): * Chain [[33],34]: 1*it(33)+1 Such that:it(33) =< Out with precondition: [Out>=1,V>=Out+1] * Chain [34]: 1 with precondition: [Out=0,V>=0] #### Cost of chains of nonZero(V,Out): * Chain [37]: 1 with precondition: [V=0,Out=1] * Chain [36]: 0 with precondition: [Out=0,V>=0] * Chain [35]: 1 with precondition: [Out=2,V>=1] #### Cost of chains of rand(V,V6,Out): * Chain [[38,39],43]: 10*it(38)+1*s(5)+1*s(6)+2 Such that:aux(5) =< V it(38) =< aux(5) aux(2) =< aux(5) s(5) =< it(38)*aux(5) s(6) =< it(38)*aux(2) with precondition: [Out=0,V>=2,V6>=0] * Chain [[38,39],41,43]: 10*it(38)+1*s(5)+1*s(6)+7 Such that:aux(6) =< V it(38) =< aux(6) aux(2) =< aux(6) s(5) =< it(38)*aux(6) s(6) =< it(38)*aux(2) with precondition: [Out=0,V>=2,V6>=0] * Chain [[38,39],41,42]: 10*it(38)+1*s(5)+1*s(6)+8 Such that:aux(7) =< V it(38) =< aux(7) aux(2) =< aux(7) s(5) =< it(38)*aux(7) s(6) =< it(38)*aux(2) with precondition: [V>=2,V6>=0,Out>=V6+1,V+V6>=Out] * Chain [[38,39],40,43]: 10*it(38)+1*s(5)+1*s(6)+7 Such that:aux(8) =< V it(38) =< aux(8) aux(2) =< aux(8) s(5) =< it(38)*aux(8) s(6) =< it(38)*aux(2) with precondition: [Out=0,V>=2,V6>=0] * Chain [[38,39],40,42]: 10*it(38)+1*s(5)+1*s(6)+8 Such that:aux(9) =< V it(38) =< aux(9) aux(2) =< aux(9) s(5) =< it(38)*aux(9) s(6) =< it(38)*aux(2) with precondition: [V>=2,V6>=0,Out>=V6,V+V6>=Out+1] * Chain [43]: 2 with precondition: [Out=0,V>=0,V6>=0] * Chain [42]: 3 with precondition: [V=0,V6=Out,V6>=0] * Chain [41,43]: 7 with precondition: [Out=0,V>=1,V6>=0] * Chain [41,42]: 8 with precondition: [Out=V6+1,V>=1,Out>=1] * Chain [40,43]: 7 with precondition: [Out=0,V>=1,V6>=0] * Chain [40,42]: 8 with precondition: [V6=Out,V>=1,V6>=0] #### Cost of chains of encArg(V,Out): * Chain [67]: 0 with precondition: [V=1,Out=1] * Chain [66]: 0 with precondition: [V=2,Out=2] * Chain [65]: 0 with precondition: [Out=0,V>=0] * Chain [multiple([44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64],[[67],[66],[65]])]: 33*it(44)+11*it(47)+22*it(48)+1*it(50)+10*it(51)+39*it(52)+16*it(59)+16*it(61)+10*it(63)+44*s(157)+1*s(158)+4*s(159)+3*s(163)+1*s(169)+1*s(170)+2*s(171)+62*s(173)+6*s(174)+6*s(175)+21*s(177)+2*s(178)+2*s(179)+30*s(185)+3*s(186)+3*s(187)+20*s(189)+2*s(190)+2*s(191)+30*s(197)+3*s(198)+3*s(199)+0 Such that:it([67]) =< 2/3*V+1/3 aux(45) =< V aux(46) =< 2*V+1 aux(47) =< V/2 aux(48) =< 2/3*V aux(49) =< 3/5*V aux(50) =< 3/7*V aux(51) =< 3/11*V aux(52) =< 3/13*V it(51) =< aux(45) it(52) =< aux(45) it(59) =< aux(45) it(61) =< aux(45) it(63) =< aux(45) it([67]) =< aux(45) it([65]) =< aux(46) it([67]) =< aux(46) it(59) =< aux(47) it(61) =< aux(48) it(50) =< aux(49) it(48) =< aux(50) it(47) =< aux(51) it(44) =< aux(52) aux(34) =< aux(45)+2 aux(37) =< aux(45)+3 aux(22) =< aux(45) it(61) =< it([65])*(1/3)+aux(48) it(63) =< it([65])*(1/3)+aux(48) it(59) =< it([65])*(1/2)+aux(47) it(61) =< it([65])*(1/2)+aux(47) it(63) =< it([65])*(1/2)+aux(47) it(50) =< it([65])*(1/5)+aux(49) it(51) =< it([65])*(1/5)+aux(49) it(48) =< it([65])*(2/7)+aux(50) it(50) =< it([65])*(2/7)+aux(50) it(51) =< it([65])*(2/7)+aux(50) it(47) =< it([65])*(4/11)+it([67])*(1/11)+aux(51) it(48) =< it([65])*(4/11)+it([67])*(1/11)+aux(51) it(50) =< it([65])*(4/11)+it([67])*(1/11)+aux(51) it(51) =< it([65])*(4/11)+it([67])*(1/11)+aux(51) it(44) =< it([65])*(5/13)+it([67])*(2/13)+aux(52) it(47) =< it([65])*(5/13)+it([67])*(2/13)+aux(52) it(48) =< it([65])*(5/13)+it([67])*(2/13)+aux(52) it(50) =< it([65])*(5/13)+it([67])*(2/13)+aux(52) it(51) =< it([65])*(5/13)+it([67])*(2/13)+aux(52) s(200) =< it(63)*aux(34) s(192) =< it(59)*aux(34) s(188) =< it(52)*aux(37) s(180) =< it(52)*aux(34) s(176) =< it(51)*aux(34) s(172) =< it(48)*aux(22) s(170) =< it(48)*aux(22) s(169) =< it(47)*aux(22) s(160) =< it(44)*aux(22) s(197) =< s(200) s(93) =< aux(34) s(198) =< s(197)*aux(34) s(199) =< s(197)*s(93) s(189) =< s(192) s(190) =< s(189)*aux(34) s(191) =< s(189)*s(93) s(185) =< s(188) s(124) =< aux(37) s(186) =< s(185)*aux(37) s(187) =< s(185)*s(124) s(177) =< s(180) s(178) =< s(177)*aux(34) s(179) =< s(177)*s(93) s(173) =< s(176) s(174) =< s(173)*aux(34) s(175) =< s(173)*s(93) s(171) =< s(172) s(157) =< s(160) s(47) =< aux(22) s(159) =< s(157)*aux(22) s(163) =< s(157)*s(47) s(158) =< s(157)*aux(45) with precondition: [V>=1,Out>=0,V>=Out] #### Cost of chains of fun1(V,Out): * Chain [70]: 10*s(264)+39*s(265)+16*s(266)+16*s(267)+10*s(268)+1*s(269)+22*s(270)+11*s(271)+33*s(272)+1*s(282)+1*s(283)+30*s(285)+3*s(287)+3*s(288)+20*s(289)+2*s(290)+2*s(291)+30*s(292)+3*s(294)+3*s(295)+21*s(296)+2*s(297)+2*s(298)+62*s(299)+6*s(300)+6*s(301)+2*s(302)+44*s(303)+4*s(305)+3*s(306)+1*s(307)+0 Such that:s(255) =< V s(256) =< 2*V+1 s(257) =< V/2 s(258) =< 2/3*V s(259) =< 2/3*V+1/3 s(260) =< 3/5*V s(261) =< 3/7*V s(262) =< 3/11*V s(263) =< 3/13*V s(264) =< s(255) s(265) =< s(255) s(266) =< s(255) s(267) =< s(255) s(268) =< s(255) s(259) =< s(255) s(259) =< s(256) s(266) =< s(257) s(267) =< s(258) s(269) =< s(260) s(270) =< s(261) s(271) =< s(262) s(272) =< s(263) s(273) =< s(255)+2 s(274) =< s(255)+3 s(275) =< s(255) s(267) =< s(256)*(1/3)+s(258) s(268) =< s(256)*(1/3)+s(258) s(266) =< s(256)*(1/2)+s(257) s(267) =< s(256)*(1/2)+s(257) s(268) =< s(256)*(1/2)+s(257) s(269) =< s(256)*(1/5)+s(260) s(264) =< s(256)*(1/5)+s(260) s(270) =< s(256)*(2/7)+s(261) s(269) =< s(256)*(2/7)+s(261) s(264) =< s(256)*(2/7)+s(261) s(271) =< s(256)*(4/11)+s(259)*(1/11)+s(262) s(270) =< s(256)*(4/11)+s(259)*(1/11)+s(262) s(269) =< s(256)*(4/11)+s(259)*(1/11)+s(262) s(264) =< s(256)*(4/11)+s(259)*(1/11)+s(262) s(272) =< s(256)*(5/13)+s(259)*(2/13)+s(263) s(271) =< s(256)*(5/13)+s(259)*(2/13)+s(263) s(270) =< s(256)*(5/13)+s(259)*(2/13)+s(263) s(269) =< s(256)*(5/13)+s(259)*(2/13)+s(263) s(264) =< s(256)*(5/13)+s(259)*(2/13)+s(263) s(276) =< s(268)*s(273) s(277) =< s(266)*s(273) s(278) =< s(265)*s(274) s(279) =< s(265)*s(273) s(280) =< s(264)*s(273) s(281) =< s(270)*s(275) s(282) =< s(270)*s(275) s(283) =< s(271)*s(275) s(284) =< s(272)*s(275) s(285) =< s(276) s(286) =< s(273) s(287) =< s(285)*s(273) s(288) =< s(285)*s(286) s(289) =< s(277) s(290) =< s(289)*s(273) s(291) =< s(289)*s(286) s(292) =< s(278) s(293) =< s(274) s(294) =< s(292)*s(274) s(295) =< s(292)*s(293) s(296) =< s(279) s(297) =< s(296)*s(273) s(298) =< s(296)*s(286) s(299) =< s(280) s(300) =< s(299)*s(273) s(301) =< s(299)*s(286) s(302) =< s(281) s(303) =< s(284) s(304) =< s(275) s(305) =< s(303)*s(275) s(306) =< s(303)*s(304) s(307) =< s(303)*s(255) with precondition: [Out=0,V>=0] * Chain [69]: 10*s(317)+39*s(318)+16*s(319)+16*s(320)+10*s(321)+1*s(322)+22*s(323)+11*s(324)+33*s(325)+1*s(335)+1*s(336)+30*s(338)+3*s(340)+3*s(341)+20*s(342)+2*s(343)+2*s(344)+30*s(345)+3*s(347)+3*s(348)+21*s(349)+2*s(350)+2*s(351)+62*s(352)+6*s(353)+6*s(354)+2*s(355)+44*s(356)+4*s(358)+3*s(359)+1*s(360)+1 Such that:s(308) =< V s(309) =< 2*V+1 s(310) =< V/2 s(311) =< 2/3*V s(312) =< 2/3*V+1/3 s(313) =< 3/5*V s(314) =< 3/7*V s(315) =< 3/11*V s(316) =< 3/13*V s(317) =< s(308) s(318) =< s(308) s(319) =< s(308) s(320) =< s(308) s(321) =< s(308) s(312) =< s(308) s(312) =< s(309) s(319) =< s(310) s(320) =< s(311) s(322) =< s(313) s(323) =< s(314) s(324) =< s(315) s(325) =< s(316) s(326) =< s(308)+2 s(327) =< s(308)+3 s(328) =< s(308) s(320) =< s(309)*(1/3)+s(311) s(321) =< s(309)*(1/3)+s(311) s(319) =< s(309)*(1/2)+s(310) s(320) =< s(309)*(1/2)+s(310) s(321) =< s(309)*(1/2)+s(310) s(322) =< s(309)*(1/5)+s(313) s(317) =< s(309)*(1/5)+s(313) s(323) =< s(309)*(2/7)+s(314) s(322) =< s(309)*(2/7)+s(314) s(317) =< s(309)*(2/7)+s(314) s(324) =< s(309)*(4/11)+s(312)*(1/11)+s(315) s(323) =< s(309)*(4/11)+s(312)*(1/11)+s(315) s(322) =< s(309)*(4/11)+s(312)*(1/11)+s(315) s(317) =< s(309)*(4/11)+s(312)*(1/11)+s(315) s(325) =< s(309)*(5/13)+s(312)*(2/13)+s(316) s(324) =< s(309)*(5/13)+s(312)*(2/13)+s(316) s(323) =< s(309)*(5/13)+s(312)*(2/13)+s(316) s(322) =< s(309)*(5/13)+s(312)*(2/13)+s(316) s(317) =< s(309)*(5/13)+s(312)*(2/13)+s(316) s(329) =< s(321)*s(326) s(330) =< s(319)*s(326) s(331) =< s(318)*s(327) s(332) =< s(318)*s(326) s(333) =< s(317)*s(326) s(334) =< s(323)*s(328) s(335) =< s(323)*s(328) s(336) =< s(324)*s(328) s(337) =< s(325)*s(328) s(338) =< s(329) s(339) =< s(326) s(340) =< s(338)*s(326) s(341) =< s(338)*s(339) s(342) =< s(330) s(343) =< s(342)*s(326) s(344) =< s(342)*s(339) s(345) =< s(331) s(346) =< s(327) s(347) =< s(345)*s(327) s(348) =< s(345)*s(346) s(349) =< s(332) s(350) =< s(349)*s(326) s(351) =< s(349)*s(339) s(352) =< s(333) s(353) =< s(352)*s(326) s(354) =< s(352)*s(339) s(355) =< s(334) s(356) =< s(337) s(357) =< s(328) s(358) =< s(356)*s(328) s(359) =< s(356)*s(357) s(360) =< s(356)*s(308) with precondition: [Out=2,V>=1] * Chain [68]: 10*s(370)+39*s(371)+16*s(372)+16*s(373)+10*s(374)+1*s(375)+22*s(376)+11*s(377)+33*s(378)+1*s(388)+1*s(389)+30*s(391)+3*s(393)+3*s(394)+20*s(395)+2*s(396)+2*s(397)+30*s(398)+3*s(400)+3*s(401)+21*s(402)+2*s(403)+2*s(404)+62*s(405)+6*s(406)+6*s(407)+2*s(408)+44*s(409)+4*s(411)+3*s(412)+1*s(413)+1 Such that:s(361) =< V s(362) =< 2*V+1 s(363) =< V/2 s(364) =< 2/3*V s(365) =< 2/3*V+1/3 s(366) =< 3/5*V s(367) =< 3/7*V s(368) =< 3/11*V s(369) =< 3/13*V s(370) =< s(361) s(371) =< s(361) s(372) =< s(361) s(373) =< s(361) s(374) =< s(361) s(365) =< s(361) s(365) =< s(362) s(372) =< s(363) s(373) =< s(364) s(375) =< s(366) s(376) =< s(367) s(377) =< s(368) s(378) =< s(369) s(379) =< s(361)+2 s(380) =< s(361)+3 s(381) =< s(361) s(373) =< s(362)*(1/3)+s(364) s(374) =< s(362)*(1/3)+s(364) s(372) =< s(362)*(1/2)+s(363) s(373) =< s(362)*(1/2)+s(363) s(374) =< s(362)*(1/2)+s(363) s(375) =< s(362)*(1/5)+s(366) s(370) =< s(362)*(1/5)+s(366) s(376) =< s(362)*(2/7)+s(367) s(375) =< s(362)*(2/7)+s(367) s(370) =< s(362)*(2/7)+s(367) s(377) =< s(362)*(4/11)+s(365)*(1/11)+s(368) s(376) =< s(362)*(4/11)+s(365)*(1/11)+s(368) s(375) =< s(362)*(4/11)+s(365)*(1/11)+s(368) s(370) =< s(362)*(4/11)+s(365)*(1/11)+s(368) s(378) =< s(362)*(5/13)+s(365)*(2/13)+s(369) s(377) =< s(362)*(5/13)+s(365)*(2/13)+s(369) s(376) =< s(362)*(5/13)+s(365)*(2/13)+s(369) s(375) =< s(362)*(5/13)+s(365)*(2/13)+s(369) s(370) =< s(362)*(5/13)+s(365)*(2/13)+s(369) s(382) =< s(374)*s(379) s(383) =< s(372)*s(379) s(384) =< s(371)*s(380) s(385) =< s(371)*s(379) s(386) =< s(370)*s(379) s(387) =< s(376)*s(381) s(388) =< s(376)*s(381) s(389) =< s(377)*s(381) s(390) =< s(378)*s(381) s(391) =< s(382) s(392) =< s(379) s(393) =< s(391)*s(379) s(394) =< s(391)*s(392) s(395) =< s(383) s(396) =< s(395)*s(379) s(397) =< s(395)*s(392) s(398) =< s(384) s(399) =< s(380) s(400) =< s(398)*s(380) s(401) =< s(398)*s(399) s(402) =< s(385) s(403) =< s(402)*s(379) s(404) =< s(402)*s(392) s(405) =< s(386) s(406) =< s(405)*s(379) s(407) =< s(405)*s(392) s(408) =< s(387) s(409) =< s(390) s(410) =< s(381) s(411) =< s(409)*s(381) s(412) =< s(409)*s(410) s(413) =< s(409)*s(361) with precondition: [Out=1,V>=0] #### Cost of chains of fun10(V,V6,V9,Out): * Chain [95]: 210*s(423)+819*s(424)+336*s(425)+336*s(426)+210*s(427)+21*s(428)+462*s(429)+231*s(430)+693*s(431)+21*s(441)+21*s(442)+630*s(444)+63*s(446)+63*s(447)+420*s(448)+42*s(449)+42*s(450)+630*s(451)+63*s(453)+63*s(454)+441*s(455)+42*s(456)+42*s(457)+1302*s(458)+126*s(459)+126*s(460)+42*s(461)+924*s(462)+84*s(464)+63*s(465)+21*s(466)+270*s(476)+1303*s(477)+432*s(478)+432*s(479)+270*s(480)+27*s(481)+594*s(482)+297*s(483)+891*s(484)+27*s(494)+27*s(495)+810*s(497)+81*s(499)+81*s(500)+540*s(501)+54*s(502)+54*s(503)+810*s(504)+81*s(506)+81*s(507)+567*s(508)+54*s(509)+54*s(510)+1674*s(511)+162*s(512)+162*s(513)+54*s(514)+1188*s(515)+108*s(517)+81*s(518)+27*s(519)+230*s(529)+897*s(530)+368*s(531)+368*s(532)+230*s(533)+23*s(534)+506*s(535)+253*s(536)+759*s(537)+23*s(547)+23*s(548)+690*s(550)+69*s(552)+69*s(553)+460*s(554)+46*s(555)+46*s(556)+690*s(557)+69*s(559)+69*s(560)+483*s(561)+46*s(562)+46*s(563)+1426*s(564)+138*s(565)+138*s(566)+46*s(567)+1012*s(568)+92*s(570)+69*s(571)+23*s(572)+24*s(1806)+24*s(1807)+187*s(3979)+18*s(3983)+18*s(3984)+11 Such that:aux(69) =< 1 aux(70) =< V aux(71) =< 2*V+1 aux(72) =< V/2 aux(73) =< 2/3*V aux(74) =< 2/3*V+1/3 aux(75) =< 3/5*V aux(76) =< 3/7*V aux(77) =< 3/11*V aux(78) =< 3/13*V aux(79) =< V6 aux(80) =< 2*V6+1 aux(81) =< V6/2 aux(82) =< 2/3*V6 aux(83) =< 2/3*V6+1/3 aux(84) =< 3/5*V6 aux(85) =< 3/7*V6 aux(86) =< 3/11*V6 aux(87) =< 3/13*V6 aux(88) =< V9 aux(89) =< 2*V9+1 aux(90) =< V9/2 aux(91) =< 2/3*V9 aux(92) =< 2/3*V9+1/3 aux(93) =< 3/5*V9 aux(94) =< 3/7*V9 aux(95) =< 3/11*V9 aux(96) =< 3/13*V9 s(3979) =< aux(69) s(418) =< aux(74) s(471) =< aux(83) s(524) =< aux(92) s(3982) =< aux(69) s(3983) =< s(3979)*aux(69) s(3984) =< s(3979)*s(3982) s(529) =< aux(88) s(530) =< aux(88) s(531) =< aux(88) s(532) =< aux(88) s(533) =< aux(88) s(524) =< aux(88) s(524) =< aux(89) s(531) =< aux(90) s(532) =< aux(91) s(534) =< aux(93) s(535) =< aux(94) s(536) =< aux(95) s(537) =< aux(96) s(538) =< aux(88)+2 s(539) =< aux(88)+3 s(540) =< aux(88) s(532) =< aux(89)*(1/3)+aux(91) s(533) =< aux(89)*(1/3)+aux(91) s(531) =< aux(89)*(1/2)+aux(90) s(532) =< aux(89)*(1/2)+aux(90) s(533) =< aux(89)*(1/2)+aux(90) s(534) =< aux(89)*(1/5)+aux(93) s(529) =< aux(89)*(1/5)+aux(93) s(535) =< aux(89)*(2/7)+aux(94) s(534) =< aux(89)*(2/7)+aux(94) s(529) =< aux(89)*(2/7)+aux(94) s(536) =< aux(89)*(4/11)+s(524)*(1/11)+aux(95) s(535) =< aux(89)*(4/11)+s(524)*(1/11)+aux(95) s(534) =< aux(89)*(4/11)+s(524)*(1/11)+aux(95) s(529) =< aux(89)*(4/11)+s(524)*(1/11)+aux(95) s(537) =< aux(89)*(5/13)+s(524)*(2/13)+aux(96) s(536) =< aux(89)*(5/13)+s(524)*(2/13)+aux(96) s(535) =< aux(89)*(5/13)+s(524)*(2/13)+aux(96) s(534) =< aux(89)*(5/13)+s(524)*(2/13)+aux(96) s(529) =< aux(89)*(5/13)+s(524)*(2/13)+aux(96) s(541) =< s(533)*s(538) s(542) =< s(531)*s(538) s(543) =< s(530)*s(539) s(544) =< s(530)*s(538) s(545) =< s(529)*s(538) s(546) =< s(535)*s(540) s(547) =< s(535)*s(540) s(548) =< s(536)*s(540) s(549) =< s(537)*s(540) s(550) =< s(541) s(551) =< s(538) s(552) =< s(550)*s(538) s(553) =< s(550)*s(551) s(554) =< s(542) s(555) =< s(554)*s(538) s(556) =< s(554)*s(551) s(557) =< s(543) s(558) =< s(539) s(559) =< s(557)*s(539) s(560) =< s(557)*s(558) s(561) =< s(544) s(562) =< s(561)*s(538) s(563) =< s(561)*s(551) s(564) =< s(545) s(565) =< s(564)*s(538) s(566) =< s(564)*s(551) s(567) =< s(546) s(568) =< s(549) s(569) =< s(540) s(570) =< s(568)*s(540) s(571) =< s(568)*s(569) s(572) =< s(568)*aux(88) s(476) =< aux(79) s(477) =< aux(79) s(478) =< aux(79) s(479) =< aux(79) s(480) =< aux(79) s(471) =< aux(79) s(471) =< aux(80) s(478) =< aux(81) s(479) =< aux(82) s(481) =< aux(84) s(482) =< aux(85) s(483) =< aux(86) s(484) =< aux(87) s(485) =< aux(79)+2 s(486) =< aux(79)+3 s(487) =< aux(79) s(479) =< aux(80)*(1/3)+aux(82) s(480) =< aux(80)*(1/3)+aux(82) s(478) =< aux(80)*(1/2)+aux(81) s(479) =< aux(80)*(1/2)+aux(81) s(480) =< aux(80)*(1/2)+aux(81) s(481) =< aux(80)*(1/5)+aux(84) s(476) =< aux(80)*(1/5)+aux(84) s(482) =< aux(80)*(2/7)+aux(85) s(481) =< aux(80)*(2/7)+aux(85) s(476) =< aux(80)*(2/7)+aux(85) s(483) =< aux(80)*(4/11)+s(471)*(1/11)+aux(86) s(482) =< aux(80)*(4/11)+s(471)*(1/11)+aux(86) s(481) =< aux(80)*(4/11)+s(471)*(1/11)+aux(86) s(476) =< aux(80)*(4/11)+s(471)*(1/11)+aux(86) s(484) =< aux(80)*(5/13)+s(471)*(2/13)+aux(87) s(483) =< aux(80)*(5/13)+s(471)*(2/13)+aux(87) s(482) =< aux(80)*(5/13)+s(471)*(2/13)+aux(87) s(481) =< aux(80)*(5/13)+s(471)*(2/13)+aux(87) s(476) =< aux(80)*(5/13)+s(471)*(2/13)+aux(87) s(488) =< s(480)*s(485) s(489) =< s(478)*s(485) s(490) =< s(477)*s(486) s(491) =< s(477)*s(485) s(492) =< s(476)*s(485) s(493) =< s(482)*s(487) s(494) =< s(482)*s(487) s(495) =< s(483)*s(487) s(496) =< s(484)*s(487) s(497) =< s(488) s(498) =< s(485) s(499) =< s(497)*s(485) s(500) =< s(497)*s(498) s(501) =< s(489) s(502) =< s(501)*s(485) s(503) =< s(501)*s(498) s(504) =< s(490) s(505) =< s(486) s(506) =< s(504)*s(486) s(507) =< s(504)*s(505) s(508) =< s(491) s(509) =< s(508)*s(485) s(510) =< s(508)*s(498) s(511) =< s(492) s(512) =< s(511)*s(485) s(513) =< s(511)*s(498) s(514) =< s(493) s(515) =< s(496) s(516) =< s(487) s(517) =< s(515)*s(487) s(518) =< s(515)*s(516) s(519) =< s(515)*aux(79) s(423) =< aux(70) s(424) =< aux(70) s(425) =< aux(70) s(426) =< aux(70) s(427) =< aux(70) s(418) =< aux(70) s(418) =< aux(71) s(425) =< aux(72) s(426) =< aux(73) s(428) =< aux(75) s(429) =< aux(76) s(430) =< aux(77) s(431) =< aux(78) s(432) =< aux(70)+2 s(433) =< aux(70)+3 s(434) =< aux(70) s(426) =< aux(71)*(1/3)+aux(73) s(427) =< aux(71)*(1/3)+aux(73) s(425) =< aux(71)*(1/2)+aux(72) s(426) =< aux(71)*(1/2)+aux(72) s(427) =< aux(71)*(1/2)+aux(72) s(428) =< aux(71)*(1/5)+aux(75) s(423) =< aux(71)*(1/5)+aux(75) s(429) =< aux(71)*(2/7)+aux(76) s(428) =< aux(71)*(2/7)+aux(76) s(423) =< aux(71)*(2/7)+aux(76) s(430) =< aux(71)*(4/11)+s(418)*(1/11)+aux(77) s(429) =< aux(71)*(4/11)+s(418)*(1/11)+aux(77) s(428) =< aux(71)*(4/11)+s(418)*(1/11)+aux(77) s(423) =< aux(71)*(4/11)+s(418)*(1/11)+aux(77) s(431) =< aux(71)*(5/13)+s(418)*(2/13)+aux(78) s(430) =< aux(71)*(5/13)+s(418)*(2/13)+aux(78) s(429) =< aux(71)*(5/13)+s(418)*(2/13)+aux(78) s(428) =< aux(71)*(5/13)+s(418)*(2/13)+aux(78) s(423) =< aux(71)*(5/13)+s(418)*(2/13)+aux(78) s(435) =< s(427)*s(432) s(436) =< s(425)*s(432) s(437) =< s(424)*s(433) s(438) =< s(424)*s(432) s(439) =< s(423)*s(432) s(440) =< s(429)*s(434) s(441) =< s(429)*s(434) s(442) =< s(430)*s(434) s(443) =< s(431)*s(434) s(444) =< s(435) s(445) =< s(432) s(446) =< s(444)*s(432) s(447) =< s(444)*s(445) s(448) =< s(436) s(449) =< s(448)*s(432) s(450) =< s(448)*s(445) s(451) =< s(437) s(452) =< s(433) s(453) =< s(451)*s(433) s(454) =< s(451)*s(452) s(455) =< s(438) s(456) =< s(455)*s(432) s(457) =< s(455)*s(445) s(458) =< s(439) s(459) =< s(458)*s(432) s(460) =< s(458)*s(445) s(461) =< s(440) s(462) =< s(443) s(463) =< s(434) s(464) =< s(462)*s(434) s(465) =< s(462)*s(463) s(466) =< s(462)*aux(70) s(1806) =< s(477)*aux(79) s(1807) =< s(477)*s(487) with precondition: [Out=0,V>=0,V6>=0,V9>=0] * Chain [94]: 10*s(4383)+39*s(4384)+16*s(4385)+16*s(4386)+10*s(4387)+1*s(4388)+22*s(4389)+11*s(4390)+33*s(4391)+1*s(4401)+1*s(4402)+30*s(4404)+3*s(4406)+3*s(4407)+20*s(4408)+2*s(4409)+2*s(4410)+30*s(4411)+3*s(4413)+3*s(4414)+21*s(4415)+2*s(4416)+2*s(4417)+62*s(4418)+6*s(4419)+6*s(4420)+2*s(4421)+44*s(4422)+4*s(4424)+3*s(4425)+1*s(4426)+20*s(4436)+80*s(4437)+32*s(4438)+32*s(4439)+20*s(4440)+2*s(4441)+44*s(4442)+22*s(4443)+66*s(4444)+2*s(4454)+2*s(4455)+60*s(4457)+6*s(4459)+6*s(4460)+40*s(4461)+4*s(4462)+4*s(4463)+60*s(4464)+6*s(4466)+6*s(4467)+42*s(4468)+4*s(4469)+4*s(4470)+124*s(4471)+12*s(4472)+12*s(4473)+4*s(4474)+88*s(4475)+8*s(4477)+6*s(4478)+2*s(4479)+2*s(4535)+11 Such that:s(4374) =< V s(4375) =< 2*V+1 s(4376) =< V/2 s(4377) =< 2/3*V s(4378) =< 2/3*V+1/3 s(4379) =< 3/5*V s(4380) =< 3/7*V s(4381) =< 3/11*V s(4382) =< 3/13*V aux(99) =< 1 aux(100) =< V6 aux(101) =< 2*V6+1 aux(102) =< V6/2 aux(103) =< 2/3*V6 aux(104) =< 2/3*V6+1/3 aux(105) =< 3/5*V6 aux(106) =< 3/7*V6 aux(107) =< 3/11*V6 aux(108) =< 3/13*V6 s(4535) =< aux(99) s(4431) =< aux(104) s(4437) =< aux(100) s(4436) =< aux(100) s(4438) =< aux(100) s(4439) =< aux(100) s(4440) =< aux(100) s(4431) =< aux(100) s(4431) =< aux(101) s(4438) =< aux(102) s(4439) =< aux(103) s(4441) =< aux(105) s(4442) =< aux(106) s(4443) =< aux(107) s(4444) =< aux(108) s(4445) =< aux(100)+2 s(4446) =< aux(100)+3 s(4447) =< aux(100) s(4439) =< aux(101)*(1/3)+aux(103) s(4440) =< aux(101)*(1/3)+aux(103) s(4438) =< aux(101)*(1/2)+aux(102) s(4439) =< aux(101)*(1/2)+aux(102) s(4440) =< aux(101)*(1/2)+aux(102) s(4441) =< aux(101)*(1/5)+aux(105) s(4436) =< aux(101)*(1/5)+aux(105) s(4442) =< aux(101)*(2/7)+aux(106) s(4441) =< aux(101)*(2/7)+aux(106) s(4436) =< aux(101)*(2/7)+aux(106) s(4443) =< aux(101)*(4/11)+s(4431)*(1/11)+aux(107) s(4442) =< aux(101)*(4/11)+s(4431)*(1/11)+aux(107) s(4441) =< aux(101)*(4/11)+s(4431)*(1/11)+aux(107) s(4436) =< aux(101)*(4/11)+s(4431)*(1/11)+aux(107) s(4444) =< aux(101)*(5/13)+s(4431)*(2/13)+aux(108) s(4443) =< aux(101)*(5/13)+s(4431)*(2/13)+aux(108) s(4442) =< aux(101)*(5/13)+s(4431)*(2/13)+aux(108) s(4441) =< aux(101)*(5/13)+s(4431)*(2/13)+aux(108) s(4436) =< aux(101)*(5/13)+s(4431)*(2/13)+aux(108) s(4448) =< s(4440)*s(4445) s(4449) =< s(4438)*s(4445) s(4450) =< s(4437)*s(4446) s(4451) =< s(4437)*s(4445) s(4452) =< s(4436)*s(4445) s(4453) =< s(4442)*s(4447) s(4454) =< s(4442)*s(4447) s(4455) =< s(4443)*s(4447) s(4456) =< s(4444)*s(4447) s(4457) =< s(4448) s(4458) =< s(4445) s(4459) =< s(4457)*s(4445) s(4460) =< s(4457)*s(4458) s(4461) =< s(4449) s(4462) =< s(4461)*s(4445) s(4463) =< s(4461)*s(4458) s(4464) =< s(4450) s(4465) =< s(4446) s(4466) =< s(4464)*s(4446) s(4467) =< s(4464)*s(4465) s(4468) =< s(4451) s(4469) =< s(4468)*s(4445) s(4470) =< s(4468)*s(4458) s(4471) =< s(4452) s(4472) =< s(4471)*s(4445) s(4473) =< s(4471)*s(4458) s(4474) =< s(4453) s(4475) =< s(4456) s(4476) =< s(4447) s(4477) =< s(4475)*s(4447) s(4478) =< s(4475)*s(4476) s(4479) =< s(4475)*aux(100) s(4383) =< s(4374) s(4384) =< s(4374) s(4385) =< s(4374) s(4386) =< s(4374) s(4387) =< s(4374) s(4378) =< s(4374) s(4378) =< s(4375) s(4385) =< s(4376) s(4386) =< s(4377) s(4388) =< s(4379) s(4389) =< s(4380) s(4390) =< s(4381) s(4391) =< s(4382) s(4392) =< s(4374)+2 s(4393) =< s(4374)+3 s(4394) =< s(4374) s(4386) =< s(4375)*(1/3)+s(4377) s(4387) =< s(4375)*(1/3)+s(4377) s(4385) =< s(4375)*(1/2)+s(4376) s(4386) =< s(4375)*(1/2)+s(4376) s(4387) =< s(4375)*(1/2)+s(4376) s(4388) =< s(4375)*(1/5)+s(4379) s(4383) =< s(4375)*(1/5)+s(4379) s(4389) =< s(4375)*(2/7)+s(4380) s(4388) =< s(4375)*(2/7)+s(4380) s(4383) =< s(4375)*(2/7)+s(4380) s(4390) =< s(4375)*(4/11)+s(4378)*(1/11)+s(4381) s(4389) =< s(4375)*(4/11)+s(4378)*(1/11)+s(4381) s(4388) =< s(4375)*(4/11)+s(4378)*(1/11)+s(4381) s(4383) =< s(4375)*(4/11)+s(4378)*(1/11)+s(4381) s(4391) =< s(4375)*(5/13)+s(4378)*(2/13)+s(4382) s(4390) =< s(4375)*(5/13)+s(4378)*(2/13)+s(4382) s(4389) =< s(4375)*(5/13)+s(4378)*(2/13)+s(4382) s(4388) =< s(4375)*(5/13)+s(4378)*(2/13)+s(4382) s(4383) =< s(4375)*(5/13)+s(4378)*(2/13)+s(4382) s(4395) =< s(4387)*s(4392) s(4396) =< s(4385)*s(4392) s(4397) =< s(4384)*s(4393) s(4398) =< s(4384)*s(4392) s(4399) =< s(4383)*s(4392) s(4400) =< s(4389)*s(4394) s(4401) =< s(4389)*s(4394) s(4402) =< s(4390)*s(4394) s(4403) =< s(4391)*s(4394) s(4404) =< s(4395) s(4405) =< s(4392) s(4406) =< s(4404)*s(4392) s(4407) =< s(4404)*s(4405) s(4408) =< s(4396) s(4409) =< s(4408)*s(4392) s(4410) =< s(4408)*s(4405) s(4411) =< s(4397) s(4412) =< s(4393) s(4413) =< s(4411)*s(4393) s(4414) =< s(4411)*s(4412) s(4415) =< s(4398) s(4416) =< s(4415)*s(4392) s(4417) =< s(4415)*s(4405) s(4418) =< s(4399) s(4419) =< s(4418)*s(4392) s(4420) =< s(4418)*s(4405) s(4421) =< s(4400) s(4422) =< s(4403) s(4423) =< s(4394) s(4424) =< s(4422)*s(4394) s(4425) =< s(4422)*s(4423) s(4426) =< s(4422)*s(4374) with precondition: [Out=2,V>=2,V6>=2,V9>=0] * Chain [93]: 40*s(4546)+156*s(4547)+64*s(4548)+64*s(4549)+40*s(4550)+4*s(4551)+88*s(4552)+44*s(4553)+132*s(4554)+4*s(4564)+4*s(4565)+120*s(4567)+12*s(4569)+12*s(4570)+80*s(4571)+8*s(4572)+8*s(4573)+120*s(4574)+12*s(4576)+12*s(4577)+84*s(4578)+8*s(4579)+8*s(4580)+248*s(4581)+24*s(4582)+24*s(4583)+8*s(4584)+176*s(4585)+16*s(4587)+12*s(4588)+4*s(4589)+60*s(4599)+238*s(4600)+96*s(4601)+96*s(4602)+60*s(4603)+6*s(4604)+132*s(4605)+66*s(4606)+198*s(4607)+6*s(4617)+6*s(4618)+180*s(4620)+18*s(4622)+18*s(4623)+120*s(4624)+12*s(4625)+12*s(4626)+180*s(4627)+18*s(4629)+18*s(4630)+126*s(4631)+12*s(4632)+12*s(4633)+372*s(4634)+36*s(4635)+36*s(4636)+12*s(4637)+264*s(4638)+24*s(4640)+18*s(4641)+6*s(4642)+110*s(4652)+429*s(4653)+176*s(4654)+176*s(4655)+110*s(4656)+11*s(4657)+242*s(4658)+121*s(4659)+363*s(4660)+11*s(4670)+11*s(4671)+330*s(4673)+33*s(4675)+33*s(4676)+220*s(4677)+22*s(4678)+22*s(4679)+330*s(4680)+33*s(4682)+33*s(4683)+231*s(4684)+22*s(4685)+22*s(4686)+682*s(4687)+66*s(4688)+66*s(4689)+22*s(4690)+484*s(4691)+44*s(4693)+33*s(4694)+11*s(4695)+4*s(5548)+11 Such that:aux(113) =< 1 aux(114) =< V aux(115) =< 2*V+1 aux(116) =< V/2 aux(117) =< 2/3*V aux(118) =< 2/3*V+1/3 aux(119) =< 3/5*V aux(120) =< 3/7*V aux(121) =< 3/11*V aux(122) =< 3/13*V aux(123) =< V6 aux(124) =< 2*V6+1 aux(125) =< V6/2 aux(126) =< 2/3*V6 aux(127) =< 2/3*V6+1/3 aux(128) =< 3/5*V6 aux(129) =< 3/7*V6 aux(130) =< 3/11*V6 aux(131) =< 3/13*V6 aux(132) =< V9 aux(133) =< 2*V9+1 aux(134) =< V9/2 aux(135) =< 2/3*V9 aux(136) =< 2/3*V9+1/3 aux(137) =< 3/5*V9 aux(138) =< 3/7*V9 aux(139) =< 3/11*V9 aux(140) =< 3/13*V9 s(5548) =< aux(113) s(4541) =< aux(118) s(4594) =< aux(127) s(4647) =< aux(136) s(4652) =< aux(132) s(4653) =< aux(132) s(4654) =< aux(132) s(4655) =< aux(132) s(4656) =< aux(132) s(4647) =< aux(132) s(4647) =< aux(133) s(4654) =< aux(134) s(4655) =< aux(135) s(4657) =< aux(137) s(4658) =< aux(138) s(4659) =< aux(139) s(4660) =< aux(140) s(4661) =< aux(132)+2 s(4662) =< aux(132)+3 s(4663) =< aux(132) s(4655) =< aux(133)*(1/3)+aux(135) s(4656) =< aux(133)*(1/3)+aux(135) s(4654) =< aux(133)*(1/2)+aux(134) s(4655) =< aux(133)*(1/2)+aux(134) s(4656) =< aux(133)*(1/2)+aux(134) s(4657) =< aux(133)*(1/5)+aux(137) s(4652) =< aux(133)*(1/5)+aux(137) s(4658) =< aux(133)*(2/7)+aux(138) s(4657) =< aux(133)*(2/7)+aux(138) s(4652) =< aux(133)*(2/7)+aux(138) s(4659) =< aux(133)*(4/11)+s(4647)*(1/11)+aux(139) s(4658) =< aux(133)*(4/11)+s(4647)*(1/11)+aux(139) s(4657) =< aux(133)*(4/11)+s(4647)*(1/11)+aux(139) s(4652) =< aux(133)*(4/11)+s(4647)*(1/11)+aux(139) s(4660) =< aux(133)*(5/13)+s(4647)*(2/13)+aux(140) s(4659) =< aux(133)*(5/13)+s(4647)*(2/13)+aux(140) s(4658) =< aux(133)*(5/13)+s(4647)*(2/13)+aux(140) s(4657) =< aux(133)*(5/13)+s(4647)*(2/13)+aux(140) s(4652) =< aux(133)*(5/13)+s(4647)*(2/13)+aux(140) s(4664) =< s(4656)*s(4661) s(4665) =< s(4654)*s(4661) s(4666) =< s(4653)*s(4662) s(4667) =< s(4653)*s(4661) s(4668) =< s(4652)*s(4661) s(4669) =< s(4658)*s(4663) s(4670) =< s(4658)*s(4663) s(4671) =< s(4659)*s(4663) s(4672) =< s(4660)*s(4663) s(4673) =< s(4664) s(4674) =< s(4661) s(4675) =< s(4673)*s(4661) s(4676) =< s(4673)*s(4674) s(4677) =< s(4665) s(4678) =< s(4677)*s(4661) s(4679) =< s(4677)*s(4674) s(4680) =< s(4666) s(4681) =< s(4662) s(4682) =< s(4680)*s(4662) s(4683) =< s(4680)*s(4681) s(4684) =< s(4667) s(4685) =< s(4684)*s(4661) s(4686) =< s(4684)*s(4674) s(4687) =< s(4668) s(4688) =< s(4687)*s(4661) s(4689) =< s(4687)*s(4674) s(4690) =< s(4669) s(4691) =< s(4672) s(4692) =< s(4663) s(4693) =< s(4691)*s(4663) s(4694) =< s(4691)*s(4692) s(4695) =< s(4691)*aux(132) s(4599) =< aux(123) s(4600) =< aux(123) s(4601) =< aux(123) s(4602) =< aux(123) s(4603) =< aux(123) s(4594) =< aux(123) s(4594) =< aux(124) s(4601) =< aux(125) s(4602) =< aux(126) s(4604) =< aux(128) s(4605) =< aux(129) s(4606) =< aux(130) s(4607) =< aux(131) s(4608) =< aux(123)+2 s(4609) =< aux(123)+3 s(4610) =< aux(123) s(4602) =< aux(124)*(1/3)+aux(126) s(4603) =< aux(124)*(1/3)+aux(126) s(4601) =< aux(124)*(1/2)+aux(125) s(4602) =< aux(124)*(1/2)+aux(125) s(4603) =< aux(124)*(1/2)+aux(125) s(4604) =< aux(124)*(1/5)+aux(128) s(4599) =< aux(124)*(1/5)+aux(128) s(4605) =< aux(124)*(2/7)+aux(129) s(4604) =< aux(124)*(2/7)+aux(129) s(4599) =< aux(124)*(2/7)+aux(129) s(4606) =< aux(124)*(4/11)+s(4594)*(1/11)+aux(130) s(4605) =< aux(124)*(4/11)+s(4594)*(1/11)+aux(130) s(4604) =< aux(124)*(4/11)+s(4594)*(1/11)+aux(130) s(4599) =< aux(124)*(4/11)+s(4594)*(1/11)+aux(130) s(4607) =< aux(124)*(5/13)+s(4594)*(2/13)+aux(131) s(4606) =< aux(124)*(5/13)+s(4594)*(2/13)+aux(131) s(4605) =< aux(124)*(5/13)+s(4594)*(2/13)+aux(131) s(4604) =< aux(124)*(5/13)+s(4594)*(2/13)+aux(131) s(4599) =< aux(124)*(5/13)+s(4594)*(2/13)+aux(131) s(4611) =< s(4603)*s(4608) s(4612) =< s(4601)*s(4608) s(4613) =< s(4600)*s(4609) s(4614) =< s(4600)*s(4608) s(4615) =< s(4599)*s(4608) s(4616) =< s(4605)*s(4610) s(4617) =< s(4605)*s(4610) s(4618) =< s(4606)*s(4610) s(4619) =< s(4607)*s(4610) s(4620) =< s(4611) s(4621) =< s(4608) s(4622) =< s(4620)*s(4608) s(4623) =< s(4620)*s(4621) s(4624) =< s(4612) s(4625) =< s(4624)*s(4608) s(4626) =< s(4624)*s(4621) s(4627) =< s(4613) s(4628) =< s(4609) s(4629) =< s(4627)*s(4609) s(4630) =< s(4627)*s(4628) s(4631) =< s(4614) s(4632) =< s(4631)*s(4608) s(4633) =< s(4631)*s(4621) s(4634) =< s(4615) s(4635) =< s(4634)*s(4608) s(4636) =< s(4634)*s(4621) s(4637) =< s(4616) s(4638) =< s(4619) s(4639) =< s(4610) s(4640) =< s(4638)*s(4610) s(4641) =< s(4638)*s(4639) s(4642) =< s(4638)*aux(123) s(4546) =< aux(114) s(4547) =< aux(114) s(4548) =< aux(114) s(4549) =< aux(114) s(4550) =< aux(114) s(4541) =< aux(114) s(4541) =< aux(115) s(4548) =< aux(116) s(4549) =< aux(117) s(4551) =< aux(119) s(4552) =< aux(120) s(4553) =< aux(121) s(4554) =< aux(122) s(4555) =< aux(114)+2 s(4556) =< aux(114)+3 s(4557) =< aux(114) s(4549) =< aux(115)*(1/3)+aux(117) s(4550) =< aux(115)*(1/3)+aux(117) s(4548) =< aux(115)*(1/2)+aux(116) s(4549) =< aux(115)*(1/2)+aux(116) s(4550) =< aux(115)*(1/2)+aux(116) s(4551) =< aux(115)*(1/5)+aux(119) s(4546) =< aux(115)*(1/5)+aux(119) s(4552) =< aux(115)*(2/7)+aux(120) s(4551) =< aux(115)*(2/7)+aux(120) s(4546) =< aux(115)*(2/7)+aux(120) s(4553) =< aux(115)*(4/11)+s(4541)*(1/11)+aux(121) s(4552) =< aux(115)*(4/11)+s(4541)*(1/11)+aux(121) s(4551) =< aux(115)*(4/11)+s(4541)*(1/11)+aux(121) s(4546) =< aux(115)*(4/11)+s(4541)*(1/11)+aux(121) s(4554) =< aux(115)*(5/13)+s(4541)*(2/13)+aux(122) s(4553) =< aux(115)*(5/13)+s(4541)*(2/13)+aux(122) s(4552) =< aux(115)*(5/13)+s(4541)*(2/13)+aux(122) s(4551) =< aux(115)*(5/13)+s(4541)*(2/13)+aux(122) s(4546) =< aux(115)*(5/13)+s(4541)*(2/13)+aux(122) s(4558) =< s(4550)*s(4555) s(4559) =< s(4548)*s(4555) s(4560) =< s(4547)*s(4556) s(4561) =< s(4547)*s(4555) s(4562) =< s(4546)*s(4555) s(4563) =< s(4552)*s(4557) s(4564) =< s(4552)*s(4557) s(4565) =< s(4553)*s(4557) s(4566) =< s(4554)*s(4557) s(4567) =< s(4558) s(4568) =< s(4555) s(4569) =< s(4567)*s(4555) s(4570) =< s(4567)*s(4568) s(4571) =< s(4559) s(4572) =< s(4571)*s(4555) s(4573) =< s(4571)*s(4568) s(4574) =< s(4560) s(4575) =< s(4556) s(4576) =< s(4574)*s(4556) s(4577) =< s(4574)*s(4575) s(4578) =< s(4561) s(4579) =< s(4578)*s(4555) s(4580) =< s(4578)*s(4568) s(4581) =< s(4562) s(4582) =< s(4581)*s(4555) s(4583) =< s(4581)*s(4568) s(4584) =< s(4563) s(4585) =< s(4566) s(4586) =< s(4557) s(4587) =< s(4585)*s(4557) s(4588) =< s(4585)*s(4586) s(4589) =< s(4585)*aux(114) with precondition: [V>=2,V6>=0,V9>=1,Out>=1,V9+1>=Out] * Chain [92]: 10*s(5667)+39*s(5668)+16*s(5669)+16*s(5670)+10*s(5671)+1*s(5672)+22*s(5673)+11*s(5674)+33*s(5675)+1*s(5685)+1*s(5686)+30*s(5688)+3*s(5690)+3*s(5691)+20*s(5692)+2*s(5693)+2*s(5694)+30*s(5695)+3*s(5697)+3*s(5698)+21*s(5699)+2*s(5700)+2*s(5701)+62*s(5702)+6*s(5703)+6*s(5704)+2*s(5705)+44*s(5706)+4*s(5708)+3*s(5709)+1*s(5710)+20*s(5720)+80*s(5721)+32*s(5722)+32*s(5723)+20*s(5724)+2*s(5725)+44*s(5726)+22*s(5727)+66*s(5728)+2*s(5738)+2*s(5739)+60*s(5741)+6*s(5743)+6*s(5744)+40*s(5745)+4*s(5746)+4*s(5747)+60*s(5748)+6*s(5750)+6*s(5751)+42*s(5752)+4*s(5753)+4*s(5754)+124*s(5755)+12*s(5756)+12*s(5757)+4*s(5758)+88*s(5759)+8*s(5761)+6*s(5762)+2*s(5763)+30*s(5773)+117*s(5774)+48*s(5775)+48*s(5776)+30*s(5777)+3*s(5778)+66*s(5779)+33*s(5780)+99*s(5781)+3*s(5791)+3*s(5792)+90*s(5794)+9*s(5796)+9*s(5797)+60*s(5798)+6*s(5799)+6*s(5800)+90*s(5801)+9*s(5803)+9*s(5804)+63*s(5805)+6*s(5806)+6*s(5807)+186*s(5808)+18*s(5809)+18*s(5810)+6*s(5811)+132*s(5812)+12*s(5814)+9*s(5815)+3*s(5816)+2*s(5978)+11 Such that:s(5658) =< V s(5659) =< 2*V+1 s(5660) =< V/2 s(5661) =< 2/3*V s(5662) =< 2/3*V+1/3 s(5663) =< 3/5*V s(5664) =< 3/7*V s(5665) =< 3/11*V s(5666) =< 3/13*V aux(143) =< 1 aux(144) =< V6 aux(145) =< 2*V6+1 aux(146) =< V6/2 aux(147) =< 2/3*V6 aux(148) =< 2/3*V6+1/3 aux(149) =< 3/5*V6 aux(150) =< 3/7*V6 aux(151) =< 3/11*V6 aux(152) =< 3/13*V6 aux(153) =< V9 aux(154) =< 2*V9+1 aux(155) =< V9/2 aux(156) =< 2/3*V9 aux(157) =< 2/3*V9+1/3 aux(158) =< 3/5*V9 aux(159) =< 3/7*V9 aux(160) =< 3/11*V9 aux(161) =< 3/13*V9 s(5978) =< aux(143) s(5715) =< aux(148) s(5768) =< aux(157) s(5773) =< aux(153) s(5774) =< aux(153) s(5775) =< aux(153) s(5776) =< aux(153) s(5777) =< aux(153) s(5768) =< aux(153) s(5768) =< aux(154) s(5775) =< aux(155) s(5776) =< aux(156) s(5778) =< aux(158) s(5779) =< aux(159) s(5780) =< aux(160) s(5781) =< aux(161) s(5782) =< aux(153)+2 s(5783) =< aux(153)+3 s(5784) =< aux(153) s(5776) =< aux(154)*(1/3)+aux(156) s(5777) =< aux(154)*(1/3)+aux(156) s(5775) =< aux(154)*(1/2)+aux(155) s(5776) =< aux(154)*(1/2)+aux(155) s(5777) =< aux(154)*(1/2)+aux(155) s(5778) =< aux(154)*(1/5)+aux(158) s(5773) =< aux(154)*(1/5)+aux(158) s(5779) =< aux(154)*(2/7)+aux(159) s(5778) =< aux(154)*(2/7)+aux(159) s(5773) =< aux(154)*(2/7)+aux(159) s(5780) =< aux(154)*(4/11)+s(5768)*(1/11)+aux(160) s(5779) =< aux(154)*(4/11)+s(5768)*(1/11)+aux(160) s(5778) =< aux(154)*(4/11)+s(5768)*(1/11)+aux(160) s(5773) =< aux(154)*(4/11)+s(5768)*(1/11)+aux(160) s(5781) =< aux(154)*(5/13)+s(5768)*(2/13)+aux(161) s(5780) =< aux(154)*(5/13)+s(5768)*(2/13)+aux(161) s(5779) =< aux(154)*(5/13)+s(5768)*(2/13)+aux(161) s(5778) =< aux(154)*(5/13)+s(5768)*(2/13)+aux(161) s(5773) =< aux(154)*(5/13)+s(5768)*(2/13)+aux(161) s(5785) =< s(5777)*s(5782) s(5786) =< s(5775)*s(5782) s(5787) =< s(5774)*s(5783) s(5788) =< s(5774)*s(5782) s(5789) =< s(5773)*s(5782) s(5790) =< s(5779)*s(5784) s(5791) =< s(5779)*s(5784) s(5792) =< s(5780)*s(5784) s(5793) =< s(5781)*s(5784) s(5794) =< s(5785) s(5795) =< s(5782) s(5796) =< s(5794)*s(5782) s(5797) =< s(5794)*s(5795) s(5798) =< s(5786) s(5799) =< s(5798)*s(5782) s(5800) =< s(5798)*s(5795) s(5801) =< s(5787) s(5802) =< s(5783) s(5803) =< s(5801)*s(5783) s(5804) =< s(5801)*s(5802) s(5805) =< s(5788) s(5806) =< s(5805)*s(5782) s(5807) =< s(5805)*s(5795) s(5808) =< s(5789) s(5809) =< s(5808)*s(5782) s(5810) =< s(5808)*s(5795) s(5811) =< s(5790) s(5812) =< s(5793) s(5813) =< s(5784) s(5814) =< s(5812)*s(5784) s(5815) =< s(5812)*s(5813) s(5816) =< s(5812)*aux(153) s(5721) =< aux(144) s(5720) =< aux(144) s(5722) =< aux(144) s(5723) =< aux(144) s(5724) =< aux(144) s(5715) =< aux(144) s(5715) =< aux(145) s(5722) =< aux(146) s(5723) =< aux(147) s(5725) =< aux(149) s(5726) =< aux(150) s(5727) =< aux(151) s(5728) =< aux(152) s(5729) =< aux(144)+2 s(5730) =< aux(144)+3 s(5731) =< aux(144) s(5723) =< aux(145)*(1/3)+aux(147) s(5724) =< aux(145)*(1/3)+aux(147) s(5722) =< aux(145)*(1/2)+aux(146) s(5723) =< aux(145)*(1/2)+aux(146) s(5724) =< aux(145)*(1/2)+aux(146) s(5725) =< aux(145)*(1/5)+aux(149) s(5720) =< aux(145)*(1/5)+aux(149) s(5726) =< aux(145)*(2/7)+aux(150) s(5725) =< aux(145)*(2/7)+aux(150) s(5720) =< aux(145)*(2/7)+aux(150) s(5727) =< aux(145)*(4/11)+s(5715)*(1/11)+aux(151) s(5726) =< aux(145)*(4/11)+s(5715)*(1/11)+aux(151) s(5725) =< aux(145)*(4/11)+s(5715)*(1/11)+aux(151) s(5720) =< aux(145)*(4/11)+s(5715)*(1/11)+aux(151) s(5728) =< aux(145)*(5/13)+s(5715)*(2/13)+aux(152) s(5727) =< aux(145)*(5/13)+s(5715)*(2/13)+aux(152) s(5726) =< aux(145)*(5/13)+s(5715)*(2/13)+aux(152) s(5725) =< aux(145)*(5/13)+s(5715)*(2/13)+aux(152) s(5720) =< aux(145)*(5/13)+s(5715)*(2/13)+aux(152) s(5732) =< s(5724)*s(5729) s(5733) =< s(5722)*s(5729) s(5734) =< s(5721)*s(5730) s(5735) =< s(5721)*s(5729) s(5736) =< s(5720)*s(5729) s(5737) =< s(5726)*s(5731) s(5738) =< s(5726)*s(5731) s(5739) =< s(5727)*s(5731) s(5740) =< s(5728)*s(5731) s(5741) =< s(5732) s(5742) =< s(5729) s(5743) =< s(5741)*s(5729) s(5744) =< s(5741)*s(5742) s(5745) =< s(5733) s(5746) =< s(5745)*s(5729) s(5747) =< s(5745)*s(5742) s(5748) =< s(5734) s(5749) =< s(5730) s(5750) =< s(5748)*s(5730) s(5751) =< s(5748)*s(5749) s(5752) =< s(5735) s(5753) =< s(5752)*s(5729) s(5754) =< s(5752)*s(5742) s(5755) =< s(5736) s(5756) =< s(5755)*s(5729) s(5757) =< s(5755)*s(5742) s(5758) =< s(5737) s(5759) =< s(5740) s(5760) =< s(5731) s(5761) =< s(5759)*s(5731) s(5762) =< s(5759)*s(5760) s(5763) =< s(5759)*aux(144) s(5667) =< s(5658) s(5668) =< s(5658) s(5669) =< s(5658) s(5670) =< s(5658) s(5671) =< s(5658) s(5662) =< s(5658) s(5662) =< s(5659) s(5669) =< s(5660) s(5670) =< s(5661) s(5672) =< s(5663) s(5673) =< s(5664) s(5674) =< s(5665) s(5675) =< s(5666) s(5676) =< s(5658)+2 s(5677) =< s(5658)+3 s(5678) =< s(5658) s(5670) =< s(5659)*(1/3)+s(5661) s(5671) =< s(5659)*(1/3)+s(5661) s(5669) =< s(5659)*(1/2)+s(5660) s(5670) =< s(5659)*(1/2)+s(5660) s(5671) =< s(5659)*(1/2)+s(5660) s(5672) =< s(5659)*(1/5)+s(5663) s(5667) =< s(5659)*(1/5)+s(5663) s(5673) =< s(5659)*(2/7)+s(5664) s(5672) =< s(5659)*(2/7)+s(5664) s(5667) =< s(5659)*(2/7)+s(5664) s(5674) =< s(5659)*(4/11)+s(5662)*(1/11)+s(5665) s(5673) =< s(5659)*(4/11)+s(5662)*(1/11)+s(5665) s(5672) =< s(5659)*(4/11)+s(5662)*(1/11)+s(5665) s(5667) =< s(5659)*(4/11)+s(5662)*(1/11)+s(5665) s(5675) =< s(5659)*(5/13)+s(5662)*(2/13)+s(5666) s(5674) =< s(5659)*(5/13)+s(5662)*(2/13)+s(5666) s(5673) =< s(5659)*(5/13)+s(5662)*(2/13)+s(5666) s(5672) =< s(5659)*(5/13)+s(5662)*(2/13)+s(5666) s(5667) =< s(5659)*(5/13)+s(5662)*(2/13)+s(5666) s(5679) =< s(5671)*s(5676) s(5680) =< s(5669)*s(5676) s(5681) =< s(5668)*s(5677) s(5682) =< s(5668)*s(5676) s(5683) =< s(5667)*s(5676) s(5684) =< s(5673)*s(5678) s(5685) =< s(5673)*s(5678) s(5686) =< s(5674)*s(5678) s(5687) =< s(5675)*s(5678) s(5688) =< s(5679) s(5689) =< s(5676) s(5690) =< s(5688)*s(5676) s(5691) =< s(5688)*s(5689) s(5692) =< s(5680) s(5693) =< s(5692)*s(5676) s(5694) =< s(5692)*s(5689) s(5695) =< s(5681) s(5696) =< s(5677) s(5697) =< s(5695)*s(5677) s(5698) =< s(5695)*s(5696) s(5699) =< s(5682) s(5700) =< s(5699)*s(5676) s(5701) =< s(5699)*s(5689) s(5702) =< s(5683) s(5703) =< s(5702)*s(5676) s(5704) =< s(5702)*s(5689) s(5705) =< s(5684) s(5706) =< s(5687) s(5707) =< s(5678) s(5708) =< s(5706)*s(5678) s(5709) =< s(5706)*s(5707) s(5710) =< s(5706)*s(5658) with precondition: [V>=2,V6>=2,V9>=1,Out>=2,V9+2>=Out] * Chain [91]: 40*s(5989)+156*s(5990)+64*s(5991)+64*s(5992)+40*s(5993)+4*s(5994)+88*s(5995)+44*s(5996)+132*s(5997)+4*s(6007)+4*s(6008)+120*s(6010)+12*s(6012)+12*s(6013)+80*s(6014)+8*s(6015)+8*s(6016)+120*s(6017)+12*s(6019)+12*s(6020)+84*s(6021)+8*s(6022)+8*s(6023)+248*s(6024)+24*s(6025)+24*s(6026)+8*s(6027)+176*s(6028)+16*s(6030)+12*s(6031)+4*s(6032)+60*s(6042)+238*s(6043)+96*s(6044)+96*s(6045)+60*s(6046)+6*s(6047)+132*s(6048)+66*s(6049)+198*s(6050)+6*s(6060)+6*s(6061)+180*s(6063)+18*s(6065)+18*s(6066)+120*s(6067)+12*s(6068)+12*s(6069)+180*s(6070)+18*s(6072)+18*s(6073)+126*s(6074)+12*s(6075)+12*s(6076)+372*s(6077)+36*s(6078)+36*s(6079)+12*s(6080)+264*s(6081)+24*s(6083)+18*s(6084)+6*s(6085)+2*s(6514)+11 Such that:aux(166) =< 1 aux(167) =< V aux(168) =< 2*V+1 aux(169) =< V/2 aux(170) =< 2/3*V aux(171) =< 2/3*V+1/3 aux(172) =< 3/5*V aux(173) =< 3/7*V aux(174) =< 3/11*V aux(175) =< 3/13*V aux(176) =< V6 aux(177) =< 2*V6+1 aux(178) =< V6/2 aux(179) =< 2/3*V6 aux(180) =< 2/3*V6+1/3 aux(181) =< 3/5*V6 aux(182) =< 3/7*V6 aux(183) =< 3/11*V6 aux(184) =< 3/13*V6 s(6514) =< aux(166) s(5984) =< aux(171) s(6037) =< aux(180) s(6042) =< aux(176) s(6043) =< aux(176) s(6044) =< aux(176) s(6045) =< aux(176) s(6046) =< aux(176) s(6037) =< aux(176) s(6037) =< aux(177) s(6044) =< aux(178) s(6045) =< aux(179) s(6047) =< aux(181) s(6048) =< aux(182) s(6049) =< aux(183) s(6050) =< aux(184) s(6051) =< aux(176)+2 s(6052) =< aux(176)+3 s(6053) =< aux(176) s(6045) =< aux(177)*(1/3)+aux(179) s(6046) =< aux(177)*(1/3)+aux(179) s(6044) =< aux(177)*(1/2)+aux(178) s(6045) =< aux(177)*(1/2)+aux(178) s(6046) =< aux(177)*(1/2)+aux(178) s(6047) =< aux(177)*(1/5)+aux(181) s(6042) =< aux(177)*(1/5)+aux(181) s(6048) =< aux(177)*(2/7)+aux(182) s(6047) =< aux(177)*(2/7)+aux(182) s(6042) =< aux(177)*(2/7)+aux(182) s(6049) =< aux(177)*(4/11)+s(6037)*(1/11)+aux(183) s(6048) =< aux(177)*(4/11)+s(6037)*(1/11)+aux(183) s(6047) =< aux(177)*(4/11)+s(6037)*(1/11)+aux(183) s(6042) =< aux(177)*(4/11)+s(6037)*(1/11)+aux(183) s(6050) =< aux(177)*(5/13)+s(6037)*(2/13)+aux(184) s(6049) =< aux(177)*(5/13)+s(6037)*(2/13)+aux(184) s(6048) =< aux(177)*(5/13)+s(6037)*(2/13)+aux(184) s(6047) =< aux(177)*(5/13)+s(6037)*(2/13)+aux(184) s(6042) =< aux(177)*(5/13)+s(6037)*(2/13)+aux(184) s(6054) =< s(6046)*s(6051) s(6055) =< s(6044)*s(6051) s(6056) =< s(6043)*s(6052) s(6057) =< s(6043)*s(6051) s(6058) =< s(6042)*s(6051) s(6059) =< s(6048)*s(6053) s(6060) =< s(6048)*s(6053) s(6061) =< s(6049)*s(6053) s(6062) =< s(6050)*s(6053) s(6063) =< s(6054) s(6064) =< s(6051) s(6065) =< s(6063)*s(6051) s(6066) =< s(6063)*s(6064) s(6067) =< s(6055) s(6068) =< s(6067)*s(6051) s(6069) =< s(6067)*s(6064) s(6070) =< s(6056) s(6071) =< s(6052) s(6072) =< s(6070)*s(6052) s(6073) =< s(6070)*s(6071) s(6074) =< s(6057) s(6075) =< s(6074)*s(6051) s(6076) =< s(6074)*s(6064) s(6077) =< s(6058) s(6078) =< s(6077)*s(6051) s(6079) =< s(6077)*s(6064) s(6080) =< s(6059) s(6081) =< s(6062) s(6082) =< s(6053) s(6083) =< s(6081)*s(6053) s(6084) =< s(6081)*s(6082) s(6085) =< s(6081)*aux(176) s(5989) =< aux(167) s(5990) =< aux(167) s(5991) =< aux(167) s(5992) =< aux(167) s(5993) =< aux(167) s(5984) =< aux(167) s(5984) =< aux(168) s(5991) =< aux(169) s(5992) =< aux(170) s(5994) =< aux(172) s(5995) =< aux(173) s(5996) =< aux(174) s(5997) =< aux(175) s(5998) =< aux(167)+2 s(5999) =< aux(167)+3 s(6000) =< aux(167) s(5992) =< aux(168)*(1/3)+aux(170) s(5993) =< aux(168)*(1/3)+aux(170) s(5991) =< aux(168)*(1/2)+aux(169) s(5992) =< aux(168)*(1/2)+aux(169) s(5993) =< aux(168)*(1/2)+aux(169) s(5994) =< aux(168)*(1/5)+aux(172) s(5989) =< aux(168)*(1/5)+aux(172) s(5995) =< aux(168)*(2/7)+aux(173) s(5994) =< aux(168)*(2/7)+aux(173) s(5989) =< aux(168)*(2/7)+aux(173) s(5996) =< aux(168)*(4/11)+s(5984)*(1/11)+aux(174) s(5995) =< aux(168)*(4/11)+s(5984)*(1/11)+aux(174) s(5994) =< aux(168)*(4/11)+s(5984)*(1/11)+aux(174) s(5989) =< aux(168)*(4/11)+s(5984)*(1/11)+aux(174) s(5997) =< aux(168)*(5/13)+s(5984)*(2/13)+aux(175) s(5996) =< aux(168)*(5/13)+s(5984)*(2/13)+aux(175) s(5995) =< aux(168)*(5/13)+s(5984)*(2/13)+aux(175) s(5994) =< aux(168)*(5/13)+s(5984)*(2/13)+aux(175) s(5989) =< aux(168)*(5/13)+s(5984)*(2/13)+aux(175) s(6001) =< s(5993)*s(5998) s(6002) =< s(5991)*s(5998) s(6003) =< s(5990)*s(5999) s(6004) =< s(5990)*s(5998) s(6005) =< s(5989)*s(5998) s(6006) =< s(5995)*s(6000) s(6007) =< s(5995)*s(6000) s(6008) =< s(5996)*s(6000) s(6009) =< s(5997)*s(6000) s(6010) =< s(6001) s(6011) =< s(5998) s(6012) =< s(6010)*s(5998) s(6013) =< s(6010)*s(6011) s(6014) =< s(6002) s(6015) =< s(6014)*s(5998) s(6016) =< s(6014)*s(6011) s(6017) =< s(6003) s(6018) =< s(5999) s(6019) =< s(6017)*s(5999) s(6020) =< s(6017)*s(6018) s(6021) =< s(6004) s(6022) =< s(6021)*s(5998) s(6023) =< s(6021)*s(6011) s(6024) =< s(6005) s(6025) =< s(6024)*s(5998) s(6026) =< s(6024)*s(6011) s(6027) =< s(6006) s(6028) =< s(6009) s(6029) =< s(6000) s(6030) =< s(6028)*s(6000) s(6031) =< s(6028)*s(6029) s(6032) =< s(6028)*aux(167) with precondition: [Out=1,V>=2,V6>=0,V9>=0] * Chain [90]: 50*s(6525)+195*s(6526)+80*s(6527)+80*s(6528)+50*s(6529)+5*s(6530)+110*s(6531)+55*s(6532)+165*s(6533)+5*s(6543)+5*s(6544)+150*s(6546)+15*s(6548)+15*s(6549)+100*s(6550)+10*s(6551)+10*s(6552)+150*s(6553)+15*s(6555)+15*s(6556)+105*s(6557)+10*s(6558)+10*s(6559)+310*s(6560)+30*s(6561)+30*s(6562)+10*s(6563)+220*s(6564)+20*s(6566)+15*s(6567)+5*s(6568)+50*s(6578)+197*s(6579)+80*s(6580)+80*s(6581)+50*s(6582)+5*s(6583)+110*s(6584)+55*s(6585)+165*s(6586)+5*s(6596)+5*s(6597)+150*s(6599)+15*s(6601)+15*s(6602)+100*s(6603)+10*s(6604)+10*s(6605)+150*s(6606)+15*s(6608)+15*s(6609)+105*s(6610)+10*s(6611)+10*s(6612)+310*s(6613)+30*s(6614)+30*s(6615)+10*s(6616)+220*s(6617)+20*s(6619)+15*s(6620)+5*s(6621)+100*s(6631)+390*s(6632)+160*s(6633)+160*s(6634)+100*s(6635)+10*s(6636)+220*s(6637)+110*s(6638)+330*s(6639)+10*s(6649)+10*s(6650)+300*s(6652)+30*s(6654)+30*s(6655)+200*s(6656)+20*s(6657)+20*s(6658)+300*s(6659)+30*s(6661)+30*s(6662)+210*s(6663)+20*s(6664)+20*s(6665)+620*s(6666)+60*s(6667)+60*s(6668)+20*s(6669)+440*s(6670)+40*s(6672)+30*s(6673)+10*s(6674)+1*s(7260)+11 Such that:s(7260) =< 1 aux(187) =< V aux(188) =< 2*V+1 aux(189) =< V/2 aux(190) =< 2/3*V aux(191) =< 2/3*V+1/3 aux(192) =< 3/5*V aux(193) =< 3/7*V aux(194) =< 3/11*V aux(195) =< 3/13*V aux(196) =< V6 aux(197) =< 2*V6+1 aux(198) =< V6/2 aux(199) =< 2/3*V6 aux(200) =< 2/3*V6+1/3 aux(201) =< 3/5*V6 aux(202) =< 3/7*V6 aux(203) =< 3/11*V6 aux(204) =< 3/13*V6 aux(205) =< V9 aux(206) =< 2*V9+1 aux(207) =< V9/2 aux(208) =< 2/3*V9 aux(209) =< 2/3*V9+1/3 aux(210) =< 3/5*V9 aux(211) =< 3/7*V9 aux(212) =< 3/11*V9 aux(213) =< 3/13*V9 s(6520) =< aux(191) s(6573) =< aux(200) s(6626) =< aux(209) s(6631) =< aux(205) s(6632) =< aux(205) s(6633) =< aux(205) s(6634) =< aux(205) s(6635) =< aux(205) s(6626) =< aux(205) s(6626) =< aux(206) s(6633) =< aux(207) s(6634) =< aux(208) s(6636) =< aux(210) s(6637) =< aux(211) s(6638) =< aux(212) s(6639) =< aux(213) s(6640) =< aux(205)+2 s(6641) =< aux(205)+3 s(6642) =< aux(205) s(6634) =< aux(206)*(1/3)+aux(208) s(6635) =< aux(206)*(1/3)+aux(208) s(6633) =< aux(206)*(1/2)+aux(207) s(6634) =< aux(206)*(1/2)+aux(207) s(6635) =< aux(206)*(1/2)+aux(207) s(6636) =< aux(206)*(1/5)+aux(210) s(6631) =< aux(206)*(1/5)+aux(210) s(6637) =< aux(206)*(2/7)+aux(211) s(6636) =< aux(206)*(2/7)+aux(211) s(6631) =< aux(206)*(2/7)+aux(211) s(6638) =< aux(206)*(4/11)+s(6626)*(1/11)+aux(212) s(6637) =< aux(206)*(4/11)+s(6626)*(1/11)+aux(212) s(6636) =< aux(206)*(4/11)+s(6626)*(1/11)+aux(212) s(6631) =< aux(206)*(4/11)+s(6626)*(1/11)+aux(212) s(6639) =< aux(206)*(5/13)+s(6626)*(2/13)+aux(213) s(6638) =< aux(206)*(5/13)+s(6626)*(2/13)+aux(213) s(6637) =< aux(206)*(5/13)+s(6626)*(2/13)+aux(213) s(6636) =< aux(206)*(5/13)+s(6626)*(2/13)+aux(213) s(6631) =< aux(206)*(5/13)+s(6626)*(2/13)+aux(213) s(6643) =< s(6635)*s(6640) s(6644) =< s(6633)*s(6640) s(6645) =< s(6632)*s(6641) s(6646) =< s(6632)*s(6640) s(6647) =< s(6631)*s(6640) s(6648) =< s(6637)*s(6642) s(6649) =< s(6637)*s(6642) s(6650) =< s(6638)*s(6642) s(6651) =< s(6639)*s(6642) s(6652) =< s(6643) s(6653) =< s(6640) s(6654) =< s(6652)*s(6640) s(6655) =< s(6652)*s(6653) s(6656) =< s(6644) s(6657) =< s(6656)*s(6640) s(6658) =< s(6656)*s(6653) s(6659) =< s(6645) s(6660) =< s(6641) s(6661) =< s(6659)*s(6641) s(6662) =< s(6659)*s(6660) s(6663) =< s(6646) s(6664) =< s(6663)*s(6640) s(6665) =< s(6663)*s(6653) s(6666) =< s(6647) s(6667) =< s(6666)*s(6640) s(6668) =< s(6666)*s(6653) s(6669) =< s(6648) s(6670) =< s(6651) s(6671) =< s(6642) s(6672) =< s(6670)*s(6642) s(6673) =< s(6670)*s(6671) s(6674) =< s(6670)*aux(205) s(6578) =< aux(196) s(6579) =< aux(196) s(6580) =< aux(196) s(6581) =< aux(196) s(6582) =< aux(196) s(6573) =< aux(196) s(6573) =< aux(197) s(6580) =< aux(198) s(6581) =< aux(199) s(6583) =< aux(201) s(6584) =< aux(202) s(6585) =< aux(203) s(6586) =< aux(204) s(6587) =< aux(196)+2 s(6588) =< aux(196)+3 s(6589) =< aux(196) s(6581) =< aux(197)*(1/3)+aux(199) s(6582) =< aux(197)*(1/3)+aux(199) s(6580) =< aux(197)*(1/2)+aux(198) s(6581) =< aux(197)*(1/2)+aux(198) s(6582) =< aux(197)*(1/2)+aux(198) s(6583) =< aux(197)*(1/5)+aux(201) s(6578) =< aux(197)*(1/5)+aux(201) s(6584) =< aux(197)*(2/7)+aux(202) s(6583) =< aux(197)*(2/7)+aux(202) s(6578) =< aux(197)*(2/7)+aux(202) s(6585) =< aux(197)*(4/11)+s(6573)*(1/11)+aux(203) s(6584) =< aux(197)*(4/11)+s(6573)*(1/11)+aux(203) s(6583) =< aux(197)*(4/11)+s(6573)*(1/11)+aux(203) s(6578) =< aux(197)*(4/11)+s(6573)*(1/11)+aux(203) s(6586) =< aux(197)*(5/13)+s(6573)*(2/13)+aux(204) s(6585) =< aux(197)*(5/13)+s(6573)*(2/13)+aux(204) s(6584) =< aux(197)*(5/13)+s(6573)*(2/13)+aux(204) s(6583) =< aux(197)*(5/13)+s(6573)*(2/13)+aux(204) s(6578) =< aux(197)*(5/13)+s(6573)*(2/13)+aux(204) s(6590) =< s(6582)*s(6587) s(6591) =< s(6580)*s(6587) s(6592) =< s(6579)*s(6588) s(6593) =< s(6579)*s(6587) s(6594) =< s(6578)*s(6587) s(6595) =< s(6584)*s(6589) s(6596) =< s(6584)*s(6589) s(6597) =< s(6585)*s(6589) s(6598) =< s(6586)*s(6589) s(6599) =< s(6590) s(6600) =< s(6587) s(6601) =< s(6599)*s(6587) s(6602) =< s(6599)*s(6600) s(6603) =< s(6591) s(6604) =< s(6603)*s(6587) s(6605) =< s(6603)*s(6600) s(6606) =< s(6592) s(6607) =< s(6588) s(6608) =< s(6606)*s(6588) s(6609) =< s(6606)*s(6607) s(6610) =< s(6593) s(6611) =< s(6610)*s(6587) s(6612) =< s(6610)*s(6600) s(6613) =< s(6594) s(6614) =< s(6613)*s(6587) s(6615) =< s(6613)*s(6600) s(6616) =< s(6595) s(6617) =< s(6598) s(6618) =< s(6589) s(6619) =< s(6617)*s(6589) s(6620) =< s(6617)*s(6618) s(6621) =< s(6617)*aux(196) s(6525) =< aux(187) s(6526) =< aux(187) s(6527) =< aux(187) s(6528) =< aux(187) s(6529) =< aux(187) s(6520) =< aux(187) s(6520) =< aux(188) s(6527) =< aux(189) s(6528) =< aux(190) s(6530) =< aux(192) s(6531) =< aux(193) s(6532) =< aux(194) s(6533) =< aux(195) s(6534) =< aux(187)+2 s(6535) =< aux(187)+3 s(6536) =< aux(187) s(6528) =< aux(188)*(1/3)+aux(190) s(6529) =< aux(188)*(1/3)+aux(190) s(6527) =< aux(188)*(1/2)+aux(189) s(6528) =< aux(188)*(1/2)+aux(189) s(6529) =< aux(188)*(1/2)+aux(189) s(6530) =< aux(188)*(1/5)+aux(192) s(6525) =< aux(188)*(1/5)+aux(192) s(6531) =< aux(188)*(2/7)+aux(193) s(6530) =< aux(188)*(2/7)+aux(193) s(6525) =< aux(188)*(2/7)+aux(193) s(6532) =< aux(188)*(4/11)+s(6520)*(1/11)+aux(194) s(6531) =< aux(188)*(4/11)+s(6520)*(1/11)+aux(194) s(6530) =< aux(188)*(4/11)+s(6520)*(1/11)+aux(194) s(6525) =< aux(188)*(4/11)+s(6520)*(1/11)+aux(194) s(6533) =< aux(188)*(5/13)+s(6520)*(2/13)+aux(195) s(6532) =< aux(188)*(5/13)+s(6520)*(2/13)+aux(195) s(6531) =< aux(188)*(5/13)+s(6520)*(2/13)+aux(195) s(6530) =< aux(188)*(5/13)+s(6520)*(2/13)+aux(195) s(6525) =< aux(188)*(5/13)+s(6520)*(2/13)+aux(195) s(6537) =< s(6529)*s(6534) s(6538) =< s(6527)*s(6534) s(6539) =< s(6526)*s(6535) s(6540) =< s(6526)*s(6534) s(6541) =< s(6525)*s(6534) s(6542) =< s(6531)*s(6536) s(6543) =< s(6531)*s(6536) s(6544) =< s(6532)*s(6536) s(6545) =< s(6533)*s(6536) s(6546) =< s(6537) s(6547) =< s(6534) s(6548) =< s(6546)*s(6534) s(6549) =< s(6546)*s(6547) s(6550) =< s(6538) s(6551) =< s(6550)*s(6534) s(6552) =< s(6550)*s(6547) s(6553) =< s(6539) s(6554) =< s(6535) s(6555) =< s(6553)*s(6535) s(6556) =< s(6553)*s(6554) s(6557) =< s(6540) s(6558) =< s(6557)*s(6534) s(6559) =< s(6557)*s(6547) s(6560) =< s(6541) s(6561) =< s(6560)*s(6534) s(6562) =< s(6560)*s(6547) s(6563) =< s(6542) s(6564) =< s(6545) s(6565) =< s(6536) s(6566) =< s(6564)*s(6536) s(6567) =< s(6564)*s(6565) s(6568) =< s(6564)*aux(187) with precondition: [V>=1,V6>=0,V9>=1,Out>=0,V9>=Out] * Chain [89]: 80*s(7588)+312*s(7589)+128*s(7590)+128*s(7591)+80*s(7592)+8*s(7593)+176*s(7594)+88*s(7595)+264*s(7596)+8*s(7606)+8*s(7607)+240*s(7609)+24*s(7611)+24*s(7612)+160*s(7613)+16*s(7614)+16*s(7615)+240*s(7616)+24*s(7618)+24*s(7619)+168*s(7620)+16*s(7621)+16*s(7622)+496*s(7623)+48*s(7624)+48*s(7625)+16*s(7626)+352*s(7627)+32*s(7629)+24*s(7630)+8*s(7631)+110*s(7641)+553*s(7642)+176*s(7643)+176*s(7644)+110*s(7645)+11*s(7646)+242*s(7647)+121*s(7648)+363*s(7649)+11*s(7659)+11*s(7660)+330*s(7662)+33*s(7664)+33*s(7665)+220*s(7666)+22*s(7667)+22*s(7668)+330*s(7669)+33*s(7671)+33*s(7672)+231*s(7673)+22*s(7674)+22*s(7675)+682*s(7676)+66*s(7677)+66*s(7678)+22*s(7679)+484*s(7680)+44*s(7682)+33*s(7683)+11*s(7684)+12*s(8176)+12*s(8177)+10 Such that:aux(218) =< V aux(219) =< 2*V+1 aux(220) =< V/2 aux(221) =< 2/3*V aux(222) =< 2/3*V+1/3 aux(223) =< 3/5*V aux(224) =< 3/7*V aux(225) =< 3/11*V aux(226) =< 3/13*V aux(227) =< V6 aux(228) =< 2*V6+1 aux(229) =< V6/2 aux(230) =< 2/3*V6 aux(231) =< 2/3*V6+1/3 aux(232) =< 3/5*V6 aux(233) =< 3/7*V6 aux(234) =< 3/11*V6 aux(235) =< 3/13*V6 s(7583) =< aux(222) s(7636) =< aux(231) s(7641) =< aux(227) s(7642) =< aux(227) s(7643) =< aux(227) s(7644) =< aux(227) s(7645) =< aux(227) s(7636) =< aux(227) s(7636) =< aux(228) s(7643) =< aux(229) s(7644) =< aux(230) s(7646) =< aux(232) s(7647) =< aux(233) s(7648) =< aux(234) s(7649) =< aux(235) s(7650) =< aux(227)+2 s(7651) =< aux(227)+3 s(7652) =< aux(227) s(7644) =< aux(228)*(1/3)+aux(230) s(7645) =< aux(228)*(1/3)+aux(230) s(7643) =< aux(228)*(1/2)+aux(229) s(7644) =< aux(228)*(1/2)+aux(229) s(7645) =< aux(228)*(1/2)+aux(229) s(7646) =< aux(228)*(1/5)+aux(232) s(7641) =< aux(228)*(1/5)+aux(232) s(7647) =< aux(228)*(2/7)+aux(233) s(7646) =< aux(228)*(2/7)+aux(233) s(7641) =< aux(228)*(2/7)+aux(233) s(7648) =< aux(228)*(4/11)+s(7636)*(1/11)+aux(234) s(7647) =< aux(228)*(4/11)+s(7636)*(1/11)+aux(234) s(7646) =< aux(228)*(4/11)+s(7636)*(1/11)+aux(234) s(7641) =< aux(228)*(4/11)+s(7636)*(1/11)+aux(234) s(7649) =< aux(228)*(5/13)+s(7636)*(2/13)+aux(235) s(7648) =< aux(228)*(5/13)+s(7636)*(2/13)+aux(235) s(7647) =< aux(228)*(5/13)+s(7636)*(2/13)+aux(235) s(7646) =< aux(228)*(5/13)+s(7636)*(2/13)+aux(235) s(7641) =< aux(228)*(5/13)+s(7636)*(2/13)+aux(235) s(7653) =< s(7645)*s(7650) s(7654) =< s(7643)*s(7650) s(7655) =< s(7642)*s(7651) s(7656) =< s(7642)*s(7650) s(7657) =< s(7641)*s(7650) s(7658) =< s(7647)*s(7652) s(7659) =< s(7647)*s(7652) s(7660) =< s(7648)*s(7652) s(7661) =< s(7649)*s(7652) s(7662) =< s(7653) s(7663) =< s(7650) s(7664) =< s(7662)*s(7650) s(7665) =< s(7662)*s(7663) s(7666) =< s(7654) s(7667) =< s(7666)*s(7650) s(7668) =< s(7666)*s(7663) s(7669) =< s(7655) s(7670) =< s(7651) s(7671) =< s(7669)*s(7651) s(7672) =< s(7669)*s(7670) s(7673) =< s(7656) s(7674) =< s(7673)*s(7650) s(7675) =< s(7673)*s(7663) s(7676) =< s(7657) s(7677) =< s(7676)*s(7650) s(7678) =< s(7676)*s(7663) s(7679) =< s(7658) s(7680) =< s(7661) s(7681) =< s(7652) s(7682) =< s(7680)*s(7652) s(7683) =< s(7680)*s(7681) s(7684) =< s(7680)*aux(227) s(7588) =< aux(218) s(7589) =< aux(218) s(7590) =< aux(218) s(7591) =< aux(218) s(7592) =< aux(218) s(7583) =< aux(218) s(7583) =< aux(219) s(7590) =< aux(220) s(7591) =< aux(221) s(7593) =< aux(223) s(7594) =< aux(224) s(7595) =< aux(225) s(7596) =< aux(226) s(7597) =< aux(218)+2 s(7598) =< aux(218)+3 s(7599) =< aux(218) s(7591) =< aux(219)*(1/3)+aux(221) s(7592) =< aux(219)*(1/3)+aux(221) s(7590) =< aux(219)*(1/2)+aux(220) s(7591) =< aux(219)*(1/2)+aux(220) s(7592) =< aux(219)*(1/2)+aux(220) s(7593) =< aux(219)*(1/5)+aux(223) s(7588) =< aux(219)*(1/5)+aux(223) s(7594) =< aux(219)*(2/7)+aux(224) s(7593) =< aux(219)*(2/7)+aux(224) s(7588) =< aux(219)*(2/7)+aux(224) s(7595) =< aux(219)*(4/11)+s(7583)*(1/11)+aux(225) s(7594) =< aux(219)*(4/11)+s(7583)*(1/11)+aux(225) s(7593) =< aux(219)*(4/11)+s(7583)*(1/11)+aux(225) s(7588) =< aux(219)*(4/11)+s(7583)*(1/11)+aux(225) s(7596) =< aux(219)*(5/13)+s(7583)*(2/13)+aux(226) s(7595) =< aux(219)*(5/13)+s(7583)*(2/13)+aux(226) s(7594) =< aux(219)*(5/13)+s(7583)*(2/13)+aux(226) s(7593) =< aux(219)*(5/13)+s(7583)*(2/13)+aux(226) s(7588) =< aux(219)*(5/13)+s(7583)*(2/13)+aux(226) s(7600) =< s(7592)*s(7597) s(7601) =< s(7590)*s(7597) s(7602) =< s(7589)*s(7598) s(7603) =< s(7589)*s(7597) s(7604) =< s(7588)*s(7597) s(7605) =< s(7594)*s(7599) s(7606) =< s(7594)*s(7599) s(7607) =< s(7595)*s(7599) s(7608) =< s(7596)*s(7599) s(7609) =< s(7600) s(7610) =< s(7597) s(7611) =< s(7609)*s(7597) s(7612) =< s(7609)*s(7610) s(7613) =< s(7601) s(7614) =< s(7613)*s(7597) s(7615) =< s(7613)*s(7610) s(7616) =< s(7602) s(7617) =< s(7598) s(7618) =< s(7616)*s(7598) s(7619) =< s(7616)*s(7617) s(7620) =< s(7603) s(7621) =< s(7620)*s(7597) s(7622) =< s(7620)*s(7610) s(7623) =< s(7604) s(7624) =< s(7623)*s(7597) s(7625) =< s(7623)*s(7610) s(7626) =< s(7605) s(7627) =< s(7608) s(7628) =< s(7599) s(7629) =< s(7627)*s(7599) s(7630) =< s(7627)*s(7628) s(7631) =< s(7627)*aux(218) s(8176) =< s(7642)*aux(227) s(8177) =< s(7642)*s(7652) with precondition: [V9=2,Out=0,V>=0,V6>=0] * Chain [88]: 50*s(8659)+195*s(8660)+80*s(8661)+80*s(8662)+50*s(8663)+5*s(8664)+110*s(8665)+55*s(8666)+165*s(8667)+5*s(8677)+5*s(8678)+150*s(8680)+15*s(8682)+15*s(8683)+100*s(8684)+10*s(8685)+10*s(8686)+150*s(8687)+15*s(8689)+15*s(8690)+105*s(8691)+10*s(8692)+10*s(8693)+310*s(8694)+30*s(8695)+30*s(8696)+10*s(8697)+220*s(8698)+20*s(8700)+15*s(8701)+5*s(8702)+50*s(8712)+197*s(8713)+80*s(8714)+80*s(8715)+50*s(8716)+5*s(8717)+110*s(8718)+55*s(8719)+165*s(8720)+5*s(8730)+5*s(8731)+150*s(8733)+15*s(8735)+15*s(8736)+100*s(8737)+10*s(8738)+10*s(8739)+150*s(8740)+15*s(8742)+15*s(8743)+105*s(8744)+10*s(8745)+10*s(8746)+310*s(8747)+30*s(8748)+30*s(8749)+10*s(8750)+220*s(8751)+20*s(8753)+15*s(8754)+5*s(8755)+11 Such that:aux(238) =< V aux(239) =< 2*V+1 aux(240) =< V/2 aux(241) =< 2/3*V aux(242) =< 2/3*V+1/3 aux(243) =< 3/5*V aux(244) =< 3/7*V aux(245) =< 3/11*V aux(246) =< 3/13*V aux(247) =< V6 aux(248) =< 2*V6+1 aux(249) =< V6/2 aux(250) =< 2/3*V6 aux(251) =< 2/3*V6+1/3 aux(252) =< 3/5*V6 aux(253) =< 3/7*V6 aux(254) =< 3/11*V6 aux(255) =< 3/13*V6 s(8654) =< aux(242) s(8707) =< aux(251) s(8712) =< aux(247) s(8713) =< aux(247) s(8714) =< aux(247) s(8715) =< aux(247) s(8716) =< aux(247) s(8707) =< aux(247) s(8707) =< aux(248) s(8714) =< aux(249) s(8715) =< aux(250) s(8717) =< aux(252) s(8718) =< aux(253) s(8719) =< aux(254) s(8720) =< aux(255) s(8721) =< aux(247)+2 s(8722) =< aux(247)+3 s(8723) =< aux(247) s(8715) =< aux(248)*(1/3)+aux(250) s(8716) =< aux(248)*(1/3)+aux(250) s(8714) =< aux(248)*(1/2)+aux(249) s(8715) =< aux(248)*(1/2)+aux(249) s(8716) =< aux(248)*(1/2)+aux(249) s(8717) =< aux(248)*(1/5)+aux(252) s(8712) =< aux(248)*(1/5)+aux(252) s(8718) =< aux(248)*(2/7)+aux(253) s(8717) =< aux(248)*(2/7)+aux(253) s(8712) =< aux(248)*(2/7)+aux(253) s(8719) =< aux(248)*(4/11)+s(8707)*(1/11)+aux(254) s(8718) =< aux(248)*(4/11)+s(8707)*(1/11)+aux(254) s(8717) =< aux(248)*(4/11)+s(8707)*(1/11)+aux(254) s(8712) =< aux(248)*(4/11)+s(8707)*(1/11)+aux(254) s(8720) =< aux(248)*(5/13)+s(8707)*(2/13)+aux(255) s(8719) =< aux(248)*(5/13)+s(8707)*(2/13)+aux(255) s(8718) =< aux(248)*(5/13)+s(8707)*(2/13)+aux(255) s(8717) =< aux(248)*(5/13)+s(8707)*(2/13)+aux(255) s(8712) =< aux(248)*(5/13)+s(8707)*(2/13)+aux(255) s(8724) =< s(8716)*s(8721) s(8725) =< s(8714)*s(8721) s(8726) =< s(8713)*s(8722) s(8727) =< s(8713)*s(8721) s(8728) =< s(8712)*s(8721) s(8729) =< s(8718)*s(8723) s(8730) =< s(8718)*s(8723) s(8731) =< s(8719)*s(8723) s(8732) =< s(8720)*s(8723) s(8733) =< s(8724) s(8734) =< s(8721) s(8735) =< s(8733)*s(8721) s(8736) =< s(8733)*s(8734) s(8737) =< s(8725) s(8738) =< s(8737)*s(8721) s(8739) =< s(8737)*s(8734) s(8740) =< s(8726) s(8741) =< s(8722) s(8742) =< s(8740)*s(8722) s(8743) =< s(8740)*s(8741) s(8744) =< s(8727) s(8745) =< s(8744)*s(8721) s(8746) =< s(8744)*s(8734) s(8747) =< s(8728) s(8748) =< s(8747)*s(8721) s(8749) =< s(8747)*s(8734) s(8750) =< s(8729) s(8751) =< s(8732) s(8752) =< s(8723) s(8753) =< s(8751)*s(8723) s(8754) =< s(8751)*s(8752) s(8755) =< s(8751)*aux(247) s(8659) =< aux(238) s(8660) =< aux(238) s(8661) =< aux(238) s(8662) =< aux(238) s(8663) =< aux(238) s(8654) =< aux(238) s(8654) =< aux(239) s(8661) =< aux(240) s(8662) =< aux(241) s(8664) =< aux(243) s(8665) =< aux(244) s(8666) =< aux(245) s(8667) =< aux(246) s(8668) =< aux(238)+2 s(8669) =< aux(238)+3 s(8670) =< aux(238) s(8662) =< aux(239)*(1/3)+aux(241) s(8663) =< aux(239)*(1/3)+aux(241) s(8661) =< aux(239)*(1/2)+aux(240) s(8662) =< aux(239)*(1/2)+aux(240) s(8663) =< aux(239)*(1/2)+aux(240) s(8664) =< aux(239)*(1/5)+aux(243) s(8659) =< aux(239)*(1/5)+aux(243) s(8665) =< aux(239)*(2/7)+aux(244) s(8664) =< aux(239)*(2/7)+aux(244) s(8659) =< aux(239)*(2/7)+aux(244) s(8666) =< aux(239)*(4/11)+s(8654)*(1/11)+aux(245) s(8665) =< aux(239)*(4/11)+s(8654)*(1/11)+aux(245) s(8664) =< aux(239)*(4/11)+s(8654)*(1/11)+aux(245) s(8659) =< aux(239)*(4/11)+s(8654)*(1/11)+aux(245) s(8667) =< aux(239)*(5/13)+s(8654)*(2/13)+aux(246) s(8666) =< aux(239)*(5/13)+s(8654)*(2/13)+aux(246) s(8665) =< aux(239)*(5/13)+s(8654)*(2/13)+aux(246) s(8664) =< aux(239)*(5/13)+s(8654)*(2/13)+aux(246) s(8659) =< aux(239)*(5/13)+s(8654)*(2/13)+aux(246) s(8671) =< s(8663)*s(8668) s(8672) =< s(8661)*s(8668) s(8673) =< s(8660)*s(8669) s(8674) =< s(8660)*s(8668) s(8675) =< s(8659)*s(8668) s(8676) =< s(8665)*s(8670) s(8677) =< s(8665)*s(8670) s(8678) =< s(8666)*s(8670) s(8679) =< s(8667)*s(8670) s(8680) =< s(8671) s(8681) =< s(8668) s(8682) =< s(8680)*s(8668) s(8683) =< s(8680)*s(8681) s(8684) =< s(8672) s(8685) =< s(8684)*s(8668) s(8686) =< s(8684)*s(8681) s(8687) =< s(8673) s(8688) =< s(8669) s(8689) =< s(8687)*s(8669) s(8690) =< s(8687)*s(8688) s(8691) =< s(8674) s(8692) =< s(8691)*s(8668) s(8693) =< s(8691)*s(8681) s(8694) =< s(8675) s(8695) =< s(8694)*s(8668) s(8696) =< s(8694)*s(8681) s(8697) =< s(8676) s(8698) =< s(8679) s(8699) =< s(8670) s(8700) =< s(8698)*s(8670) s(8701) =< s(8698)*s(8699) s(8702) =< s(8698)*aux(238) with precondition: [V9=2,Out=2,V>=1,V6>=0] * Chain [87]: 40*s(9191)+156*s(9192)+64*s(9193)+64*s(9194)+40*s(9195)+4*s(9196)+88*s(9197)+44*s(9198)+132*s(9199)+4*s(9209)+4*s(9210)+120*s(9212)+12*s(9214)+12*s(9215)+80*s(9216)+8*s(9217)+8*s(9218)+120*s(9219)+12*s(9221)+12*s(9222)+84*s(9223)+8*s(9224)+8*s(9225)+248*s(9226)+24*s(9227)+24*s(9228)+8*s(9229)+176*s(9230)+16*s(9232)+12*s(9233)+4*s(9234)+60*s(9244)+238*s(9245)+96*s(9246)+96*s(9247)+60*s(9248)+6*s(9249)+132*s(9250)+66*s(9251)+198*s(9252)+6*s(9262)+6*s(9263)+180*s(9265)+18*s(9267)+18*s(9268)+120*s(9269)+12*s(9270)+12*s(9271)+180*s(9272)+18*s(9274)+18*s(9275)+126*s(9276)+12*s(9277)+12*s(9278)+372*s(9279)+36*s(9280)+36*s(9281)+12*s(9282)+264*s(9283)+24*s(9285)+18*s(9286)+6*s(9287)+11 Such that:aux(260) =< V aux(261) =< 2*V+1 aux(262) =< V/2 aux(263) =< 2/3*V aux(264) =< 2/3*V+1/3 aux(265) =< 3/5*V aux(266) =< 3/7*V aux(267) =< 3/11*V aux(268) =< 3/13*V aux(269) =< V6 aux(270) =< 2*V6+1 aux(271) =< V6/2 aux(272) =< 2/3*V6 aux(273) =< 2/3*V6+1/3 aux(274) =< 3/5*V6 aux(275) =< 3/7*V6 aux(276) =< 3/11*V6 aux(277) =< 3/13*V6 s(9186) =< aux(264) s(9239) =< aux(273) s(9244) =< aux(269) s(9245) =< aux(269) s(9246) =< aux(269) s(9247) =< aux(269) s(9248) =< aux(269) s(9239) =< aux(269) s(9239) =< aux(270) s(9246) =< aux(271) s(9247) =< aux(272) s(9249) =< aux(274) s(9250) =< aux(275) s(9251) =< aux(276) s(9252) =< aux(277) s(9253) =< aux(269)+2 s(9254) =< aux(269)+3 s(9255) =< aux(269) s(9247) =< aux(270)*(1/3)+aux(272) s(9248) =< aux(270)*(1/3)+aux(272) s(9246) =< aux(270)*(1/2)+aux(271) s(9247) =< aux(270)*(1/2)+aux(271) s(9248) =< aux(270)*(1/2)+aux(271) s(9249) =< aux(270)*(1/5)+aux(274) s(9244) =< aux(270)*(1/5)+aux(274) s(9250) =< aux(270)*(2/7)+aux(275) s(9249) =< aux(270)*(2/7)+aux(275) s(9244) =< aux(270)*(2/7)+aux(275) s(9251) =< aux(270)*(4/11)+s(9239)*(1/11)+aux(276) s(9250) =< aux(270)*(4/11)+s(9239)*(1/11)+aux(276) s(9249) =< aux(270)*(4/11)+s(9239)*(1/11)+aux(276) s(9244) =< aux(270)*(4/11)+s(9239)*(1/11)+aux(276) s(9252) =< aux(270)*(5/13)+s(9239)*(2/13)+aux(277) s(9251) =< aux(270)*(5/13)+s(9239)*(2/13)+aux(277) s(9250) =< aux(270)*(5/13)+s(9239)*(2/13)+aux(277) s(9249) =< aux(270)*(5/13)+s(9239)*(2/13)+aux(277) s(9244) =< aux(270)*(5/13)+s(9239)*(2/13)+aux(277) s(9256) =< s(9248)*s(9253) s(9257) =< s(9246)*s(9253) s(9258) =< s(9245)*s(9254) s(9259) =< s(9245)*s(9253) s(9260) =< s(9244)*s(9253) s(9261) =< s(9250)*s(9255) s(9262) =< s(9250)*s(9255) s(9263) =< s(9251)*s(9255) s(9264) =< s(9252)*s(9255) s(9265) =< s(9256) s(9266) =< s(9253) s(9267) =< s(9265)*s(9253) s(9268) =< s(9265)*s(9266) s(9269) =< s(9257) s(9270) =< s(9269)*s(9253) s(9271) =< s(9269)*s(9266) s(9272) =< s(9258) s(9273) =< s(9254) s(9274) =< s(9272)*s(9254) s(9275) =< s(9272)*s(9273) s(9276) =< s(9259) s(9277) =< s(9276)*s(9253) s(9278) =< s(9276)*s(9266) s(9279) =< s(9260) s(9280) =< s(9279)*s(9253) s(9281) =< s(9279)*s(9266) s(9282) =< s(9261) s(9283) =< s(9264) s(9284) =< s(9255) s(9285) =< s(9283)*s(9255) s(9286) =< s(9283)*s(9284) s(9287) =< s(9283)*aux(269) s(9191) =< aux(260) s(9192) =< aux(260) s(9193) =< aux(260) s(9194) =< aux(260) s(9195) =< aux(260) s(9186) =< aux(260) s(9186) =< aux(261) s(9193) =< aux(262) s(9194) =< aux(263) s(9196) =< aux(265) s(9197) =< aux(266) s(9198) =< aux(267) s(9199) =< aux(268) s(9200) =< aux(260)+2 s(9201) =< aux(260)+3 s(9202) =< aux(260) s(9194) =< aux(261)*(1/3)+aux(263) s(9195) =< aux(261)*(1/3)+aux(263) s(9193) =< aux(261)*(1/2)+aux(262) s(9194) =< aux(261)*(1/2)+aux(262) s(9195) =< aux(261)*(1/2)+aux(262) s(9196) =< aux(261)*(1/5)+aux(265) s(9191) =< aux(261)*(1/5)+aux(265) s(9197) =< aux(261)*(2/7)+aux(266) s(9196) =< aux(261)*(2/7)+aux(266) s(9191) =< aux(261)*(2/7)+aux(266) s(9198) =< aux(261)*(4/11)+s(9186)*(1/11)+aux(267) s(9197) =< aux(261)*(4/11)+s(9186)*(1/11)+aux(267) s(9196) =< aux(261)*(4/11)+s(9186)*(1/11)+aux(267) s(9191) =< aux(261)*(4/11)+s(9186)*(1/11)+aux(267) s(9199) =< aux(261)*(5/13)+s(9186)*(2/13)+aux(268) s(9198) =< aux(261)*(5/13)+s(9186)*(2/13)+aux(268) s(9197) =< aux(261)*(5/13)+s(9186)*(2/13)+aux(268) s(9196) =< aux(261)*(5/13)+s(9186)*(2/13)+aux(268) s(9191) =< aux(261)*(5/13)+s(9186)*(2/13)+aux(268) s(9203) =< s(9195)*s(9200) s(9204) =< s(9193)*s(9200) s(9205) =< s(9192)*s(9201) s(9206) =< s(9192)*s(9200) s(9207) =< s(9191)*s(9200) s(9208) =< s(9197)*s(9202) s(9209) =< s(9197)*s(9202) s(9210) =< s(9198)*s(9202) s(9211) =< s(9199)*s(9202) s(9212) =< s(9203) s(9213) =< s(9200) s(9214) =< s(9212)*s(9200) s(9215) =< s(9212)*s(9213) s(9216) =< s(9204) s(9217) =< s(9216)*s(9200) s(9218) =< s(9216)*s(9213) s(9219) =< s(9205) s(9220) =< s(9201) s(9221) =< s(9219)*s(9201) s(9222) =< s(9219)*s(9220) s(9223) =< s(9206) s(9224) =< s(9223)*s(9200) s(9225) =< s(9223)*s(9213) s(9226) =< s(9207) s(9227) =< s(9226)*s(9200) s(9228) =< s(9226)*s(9213) s(9229) =< s(9208) s(9230) =< s(9211) s(9231) =< s(9202) s(9232) =< s(9230)*s(9202) s(9233) =< s(9230)*s(9231) s(9234) =< s(9230)*aux(260) with precondition: [V9=2,Out=3,V>=2,V6>=0] * Chain [86]: 10*s(9725)+39*s(9726)+16*s(9727)+16*s(9728)+10*s(9729)+1*s(9730)+22*s(9731)+11*s(9732)+33*s(9733)+1*s(9743)+1*s(9744)+30*s(9746)+3*s(9748)+3*s(9749)+20*s(9750)+2*s(9751)+2*s(9752)+30*s(9753)+3*s(9755)+3*s(9756)+21*s(9757)+2*s(9758)+2*s(9759)+62*s(9760)+6*s(9761)+6*s(9762)+2*s(9763)+44*s(9764)+4*s(9766)+3*s(9767)+1*s(9768)+20*s(9778)+80*s(9779)+32*s(9780)+32*s(9781)+20*s(9782)+2*s(9783)+44*s(9784)+22*s(9785)+66*s(9786)+2*s(9796)+2*s(9797)+60*s(9799)+6*s(9801)+6*s(9802)+40*s(9803)+4*s(9804)+4*s(9805)+60*s(9806)+6*s(9808)+6*s(9809)+42*s(9810)+4*s(9811)+4*s(9812)+124*s(9813)+12*s(9814)+12*s(9815)+4*s(9816)+88*s(9817)+8*s(9819)+6*s(9820)+2*s(9821)+11 Such that:s(9716) =< V s(9717) =< 2*V+1 s(9718) =< V/2 s(9719) =< 2/3*V s(9720) =< 2/3*V+1/3 s(9721) =< 3/5*V s(9722) =< 3/7*V s(9723) =< 3/11*V s(9724) =< 3/13*V aux(280) =< V6 aux(281) =< 2*V6+1 aux(282) =< V6/2 aux(283) =< 2/3*V6 aux(284) =< 2/3*V6+1/3 aux(285) =< 3/5*V6 aux(286) =< 3/7*V6 aux(287) =< 3/11*V6 aux(288) =< 3/13*V6 s(9773) =< aux(284) s(9779) =< aux(280) s(9778) =< aux(280) s(9780) =< aux(280) s(9781) =< aux(280) s(9782) =< aux(280) s(9773) =< aux(280) s(9773) =< aux(281) s(9780) =< aux(282) s(9781) =< aux(283) s(9783) =< aux(285) s(9784) =< aux(286) s(9785) =< aux(287) s(9786) =< aux(288) s(9787) =< aux(280)+2 s(9788) =< aux(280)+3 s(9789) =< aux(280) s(9781) =< aux(281)*(1/3)+aux(283) s(9782) =< aux(281)*(1/3)+aux(283) s(9780) =< aux(281)*(1/2)+aux(282) s(9781) =< aux(281)*(1/2)+aux(282) s(9782) =< aux(281)*(1/2)+aux(282) s(9783) =< aux(281)*(1/5)+aux(285) s(9778) =< aux(281)*(1/5)+aux(285) s(9784) =< aux(281)*(2/7)+aux(286) s(9783) =< aux(281)*(2/7)+aux(286) s(9778) =< aux(281)*(2/7)+aux(286) s(9785) =< aux(281)*(4/11)+s(9773)*(1/11)+aux(287) s(9784) =< aux(281)*(4/11)+s(9773)*(1/11)+aux(287) s(9783) =< aux(281)*(4/11)+s(9773)*(1/11)+aux(287) s(9778) =< aux(281)*(4/11)+s(9773)*(1/11)+aux(287) s(9786) =< aux(281)*(5/13)+s(9773)*(2/13)+aux(288) s(9785) =< aux(281)*(5/13)+s(9773)*(2/13)+aux(288) s(9784) =< aux(281)*(5/13)+s(9773)*(2/13)+aux(288) s(9783) =< aux(281)*(5/13)+s(9773)*(2/13)+aux(288) s(9778) =< aux(281)*(5/13)+s(9773)*(2/13)+aux(288) s(9790) =< s(9782)*s(9787) s(9791) =< s(9780)*s(9787) s(9792) =< s(9779)*s(9788) s(9793) =< s(9779)*s(9787) s(9794) =< s(9778)*s(9787) s(9795) =< s(9784)*s(9789) s(9796) =< s(9784)*s(9789) s(9797) =< s(9785)*s(9789) s(9798) =< s(9786)*s(9789) s(9799) =< s(9790) s(9800) =< s(9787) s(9801) =< s(9799)*s(9787) s(9802) =< s(9799)*s(9800) s(9803) =< s(9791) s(9804) =< s(9803)*s(9787) s(9805) =< s(9803)*s(9800) s(9806) =< s(9792) s(9807) =< s(9788) s(9808) =< s(9806)*s(9788) s(9809) =< s(9806)*s(9807) s(9810) =< s(9793) s(9811) =< s(9810)*s(9787) s(9812) =< s(9810)*s(9800) s(9813) =< s(9794) s(9814) =< s(9813)*s(9787) s(9815) =< s(9813)*s(9800) s(9816) =< s(9795) s(9817) =< s(9798) s(9818) =< s(9789) s(9819) =< s(9817)*s(9789) s(9820) =< s(9817)*s(9818) s(9821) =< s(9817)*aux(280) s(9725) =< s(9716) s(9726) =< s(9716) s(9727) =< s(9716) s(9728) =< s(9716) s(9729) =< s(9716) s(9720) =< s(9716) s(9720) =< s(9717) s(9727) =< s(9718) s(9728) =< s(9719) s(9730) =< s(9721) s(9731) =< s(9722) s(9732) =< s(9723) s(9733) =< s(9724) s(9734) =< s(9716)+2 s(9735) =< s(9716)+3 s(9736) =< s(9716) s(9728) =< s(9717)*(1/3)+s(9719) s(9729) =< s(9717)*(1/3)+s(9719) s(9727) =< s(9717)*(1/2)+s(9718) s(9728) =< s(9717)*(1/2)+s(9718) s(9729) =< s(9717)*(1/2)+s(9718) s(9730) =< s(9717)*(1/5)+s(9721) s(9725) =< s(9717)*(1/5)+s(9721) s(9731) =< s(9717)*(2/7)+s(9722) s(9730) =< s(9717)*(2/7)+s(9722) s(9725) =< s(9717)*(2/7)+s(9722) s(9732) =< s(9717)*(4/11)+s(9720)*(1/11)+s(9723) s(9731) =< s(9717)*(4/11)+s(9720)*(1/11)+s(9723) s(9730) =< s(9717)*(4/11)+s(9720)*(1/11)+s(9723) s(9725) =< s(9717)*(4/11)+s(9720)*(1/11)+s(9723) s(9733) =< s(9717)*(5/13)+s(9720)*(2/13)+s(9724) s(9732) =< s(9717)*(5/13)+s(9720)*(2/13)+s(9724) s(9731) =< s(9717)*(5/13)+s(9720)*(2/13)+s(9724) s(9730) =< s(9717)*(5/13)+s(9720)*(2/13)+s(9724) s(9725) =< s(9717)*(5/13)+s(9720)*(2/13)+s(9724) s(9737) =< s(9729)*s(9734) s(9738) =< s(9727)*s(9734) s(9739) =< s(9726)*s(9735) s(9740) =< s(9726)*s(9734) s(9741) =< s(9725)*s(9734) s(9742) =< s(9731)*s(9736) s(9743) =< s(9731)*s(9736) s(9744) =< s(9732)*s(9736) s(9745) =< s(9733)*s(9736) s(9746) =< s(9737) s(9747) =< s(9734) s(9748) =< s(9746)*s(9734) s(9749) =< s(9746)*s(9747) s(9750) =< s(9738) s(9751) =< s(9750)*s(9734) s(9752) =< s(9750)*s(9747) s(9753) =< s(9739) s(9754) =< s(9735) s(9755) =< s(9753)*s(9735) s(9756) =< s(9753)*s(9754) s(9757) =< s(9740) s(9758) =< s(9757)*s(9734) s(9759) =< s(9757)*s(9747) s(9760) =< s(9741) s(9761) =< s(9760)*s(9734) s(9762) =< s(9760)*s(9747) s(9763) =< s(9742) s(9764) =< s(9745) s(9765) =< s(9736) s(9766) =< s(9764)*s(9736) s(9767) =< s(9764)*s(9765) s(9768) =< s(9764)*s(9716) with precondition: [V9=2,Out=4,V>=2,V6>=2] * Chain [85]: 10*s(9886)+39*s(9887)+16*s(9888)+16*s(9889)+10*s(9890)+1*s(9891)+22*s(9892)+11*s(9893)+33*s(9894)+1*s(9904)+1*s(9905)+30*s(9907)+3*s(9909)+3*s(9910)+20*s(9911)+2*s(9912)+2*s(9913)+30*s(9914)+3*s(9916)+3*s(9917)+21*s(9918)+2*s(9919)+2*s(9920)+62*s(9921)+6*s(9922)+6*s(9923)+2*s(9924)+44*s(9925)+4*s(9927)+3*s(9928)+1*s(9929)+30*s(9939)+150*s(9940)+48*s(9941)+48*s(9942)+30*s(9943)+3*s(9944)+66*s(9945)+33*s(9946)+99*s(9947)+3*s(9957)+3*s(9958)+90*s(9960)+9*s(9962)+9*s(9963)+60*s(9964)+6*s(9965)+6*s(9966)+90*s(9967)+9*s(9969)+9*s(9970)+63*s(9971)+6*s(9972)+6*s(9973)+186*s(9974)+18*s(9975)+18*s(9976)+6*s(9977)+132*s(9978)+12*s(9980)+9*s(9981)+3*s(9982)+3*s(9987)+3*s(9988)+11 Such that:s(9877) =< V s(9878) =< 2*V+1 s(9879) =< V/2 s(9880) =< 2/3*V s(9881) =< 2/3*V+1/3 s(9882) =< 3/5*V s(9883) =< 3/7*V s(9884) =< 3/11*V s(9885) =< 3/13*V aux(292) =< V6 aux(293) =< 2*V6+1 aux(294) =< V6/2 aux(295) =< 2/3*V6 aux(296) =< 2/3*V6+1/3 aux(297) =< 3/5*V6 aux(298) =< 3/7*V6 aux(299) =< 3/11*V6 aux(300) =< 3/13*V6 s(9934) =< aux(296) s(9940) =< aux(292) s(9950) =< aux(292) s(9987) =< s(9940)*aux(292) s(9988) =< s(9940)*s(9950) s(9939) =< aux(292) s(9941) =< aux(292) s(9942) =< aux(292) s(9943) =< aux(292) s(9934) =< aux(292) s(9934) =< aux(293) s(9941) =< aux(294) s(9942) =< aux(295) s(9944) =< aux(297) s(9945) =< aux(298) s(9946) =< aux(299) s(9947) =< aux(300) s(9948) =< aux(292)+2 s(9949) =< aux(292)+3 s(9942) =< aux(293)*(1/3)+aux(295) s(9943) =< aux(293)*(1/3)+aux(295) s(9941) =< aux(293)*(1/2)+aux(294) s(9942) =< aux(293)*(1/2)+aux(294) s(9943) =< aux(293)*(1/2)+aux(294) s(9944) =< aux(293)*(1/5)+aux(297) s(9939) =< aux(293)*(1/5)+aux(297) s(9945) =< aux(293)*(2/7)+aux(298) s(9944) =< aux(293)*(2/7)+aux(298) s(9939) =< aux(293)*(2/7)+aux(298) s(9946) =< aux(293)*(4/11)+s(9934)*(1/11)+aux(299) s(9945) =< aux(293)*(4/11)+s(9934)*(1/11)+aux(299) s(9944) =< aux(293)*(4/11)+s(9934)*(1/11)+aux(299) s(9939) =< aux(293)*(4/11)+s(9934)*(1/11)+aux(299) s(9947) =< aux(293)*(5/13)+s(9934)*(2/13)+aux(300) s(9946) =< aux(293)*(5/13)+s(9934)*(2/13)+aux(300) s(9945) =< aux(293)*(5/13)+s(9934)*(2/13)+aux(300) s(9944) =< aux(293)*(5/13)+s(9934)*(2/13)+aux(300) s(9939) =< aux(293)*(5/13)+s(9934)*(2/13)+aux(300) s(9951) =< s(9943)*s(9948) s(9952) =< s(9941)*s(9948) s(9953) =< s(9940)*s(9949) s(9954) =< s(9940)*s(9948) s(9955) =< s(9939)*s(9948) s(9956) =< s(9945)*s(9950) s(9957) =< s(9945)*s(9950) s(9958) =< s(9946)*s(9950) s(9959) =< s(9947)*s(9950) s(9960) =< s(9951) s(9961) =< s(9948) s(9962) =< s(9960)*s(9948) s(9963) =< s(9960)*s(9961) s(9964) =< s(9952) s(9965) =< s(9964)*s(9948) s(9966) =< s(9964)*s(9961) s(9967) =< s(9953) s(9968) =< s(9949) s(9969) =< s(9967)*s(9949) s(9970) =< s(9967)*s(9968) s(9971) =< s(9954) s(9972) =< s(9971)*s(9948) s(9973) =< s(9971)*s(9961) s(9974) =< s(9955) s(9975) =< s(9974)*s(9948) s(9976) =< s(9974)*s(9961) s(9977) =< s(9956) s(9978) =< s(9959) s(9979) =< s(9950) s(9980) =< s(9978)*s(9950) s(9981) =< s(9978)*s(9979) s(9982) =< s(9978)*aux(292) s(9886) =< s(9877) s(9887) =< s(9877) s(9888) =< s(9877) s(9889) =< s(9877) s(9890) =< s(9877) s(9881) =< s(9877) s(9881) =< s(9878) s(9888) =< s(9879) s(9889) =< s(9880) s(9891) =< s(9882) s(9892) =< s(9883) s(9893) =< s(9884) s(9894) =< s(9885) s(9895) =< s(9877)+2 s(9896) =< s(9877)+3 s(9897) =< s(9877) s(9889) =< s(9878)*(1/3)+s(9880) s(9890) =< s(9878)*(1/3)+s(9880) s(9888) =< s(9878)*(1/2)+s(9879) s(9889) =< s(9878)*(1/2)+s(9879) s(9890) =< s(9878)*(1/2)+s(9879) s(9891) =< s(9878)*(1/5)+s(9882) s(9886) =< s(9878)*(1/5)+s(9882) s(9892) =< s(9878)*(2/7)+s(9883) s(9891) =< s(9878)*(2/7)+s(9883) s(9886) =< s(9878)*(2/7)+s(9883) s(9893) =< s(9878)*(4/11)+s(9881)*(1/11)+s(9884) s(9892) =< s(9878)*(4/11)+s(9881)*(1/11)+s(9884) s(9891) =< s(9878)*(4/11)+s(9881)*(1/11)+s(9884) s(9886) =< s(9878)*(4/11)+s(9881)*(1/11)+s(9884) s(9894) =< s(9878)*(5/13)+s(9881)*(2/13)+s(9885) s(9893) =< s(9878)*(5/13)+s(9881)*(2/13)+s(9885) s(9892) =< s(9878)*(5/13)+s(9881)*(2/13)+s(9885) s(9891) =< s(9878)*(5/13)+s(9881)*(2/13)+s(9885) s(9886) =< s(9878)*(5/13)+s(9881)*(2/13)+s(9885) s(9898) =< s(9890)*s(9895) s(9899) =< s(9888)*s(9895) s(9900) =< s(9887)*s(9896) s(9901) =< s(9887)*s(9895) s(9902) =< s(9886)*s(9895) s(9903) =< s(9892)*s(9897) s(9904) =< s(9892)*s(9897) s(9905) =< s(9893)*s(9897) s(9906) =< s(9894)*s(9897) s(9907) =< s(9898) s(9908) =< s(9895) s(9909) =< s(9907)*s(9895) s(9910) =< s(9907)*s(9908) s(9911) =< s(9899) s(9912) =< s(9911)*s(9895) s(9913) =< s(9911)*s(9908) s(9914) =< s(9900) s(9915) =< s(9896) s(9916) =< s(9914)*s(9896) s(9917) =< s(9914)*s(9915) s(9918) =< s(9901) s(9919) =< s(9918)*s(9895) s(9920) =< s(9918)*s(9908) s(9921) =< s(9902) s(9922) =< s(9921)*s(9895) s(9923) =< s(9921)*s(9908) s(9924) =< s(9903) s(9925) =< s(9906) s(9926) =< s(9897) s(9927) =< s(9925)*s(9897) s(9928) =< s(9925)*s(9926) s(9929) =< s(9925)*s(9877) with precondition: [V>=2,V6>=3,V9>=0,Out>=2,V6>=Out] * Chain [84]: 20*s(10116)+78*s(10117)+32*s(10118)+32*s(10119)+20*s(10120)+2*s(10121)+44*s(10122)+22*s(10123)+66*s(10124)+2*s(10134)+2*s(10135)+60*s(10137)+6*s(10139)+6*s(10140)+40*s(10141)+4*s(10142)+4*s(10143)+60*s(10144)+6*s(10146)+6*s(10147)+42*s(10148)+4*s(10149)+4*s(10150)+124*s(10151)+12*s(10152)+12*s(10153)+4*s(10154)+88*s(10155)+8*s(10157)+6*s(10158)+2*s(10159)+60*s(10169)+300*s(10170)+96*s(10171)+96*s(10172)+60*s(10173)+6*s(10174)+132*s(10175)+66*s(10176)+198*s(10177)+6*s(10187)+6*s(10188)+180*s(10190)+18*s(10192)+18*s(10193)+120*s(10194)+12*s(10195)+12*s(10196)+180*s(10197)+18*s(10199)+18*s(10200)+126*s(10201)+12*s(10202)+12*s(10203)+372*s(10204)+36*s(10205)+36*s(10206)+12*s(10207)+264*s(10208)+24*s(10210)+18*s(10211)+6*s(10212)+40*s(10222)+156*s(10223)+64*s(10224)+64*s(10225)+40*s(10226)+4*s(10227)+88*s(10228)+44*s(10229)+132*s(10230)+4*s(10240)+4*s(10241)+120*s(10243)+12*s(10245)+12*s(10246)+80*s(10247)+8*s(10248)+8*s(10249)+120*s(10250)+12*s(10252)+12*s(10253)+84*s(10254)+8*s(10255)+8*s(10256)+248*s(10257)+24*s(10258)+24*s(10259)+8*s(10260)+176*s(10261)+16*s(10263)+12*s(10264)+4*s(10265)+6*s(10270)+6*s(10271)+11 Such that:aux(307) =< V aux(308) =< 2*V+1 aux(309) =< V/2 aux(310) =< 2/3*V aux(311) =< 2/3*V+1/3 aux(312) =< 3/5*V aux(313) =< 3/7*V aux(314) =< 3/11*V aux(315) =< 3/13*V aux(316) =< V6 aux(317) =< 2*V6+1 aux(318) =< V6/2 aux(319) =< 2/3*V6 aux(320) =< 2/3*V6+1/3 aux(321) =< 3/5*V6 aux(322) =< 3/7*V6 aux(323) =< 3/11*V6 aux(324) =< 3/13*V6 aux(325) =< V9 aux(326) =< 2*V9+1 aux(327) =< V9/2 aux(328) =< 2/3*V9 aux(329) =< 2/3*V9+1/3 aux(330) =< 3/5*V9 aux(331) =< 3/7*V9 aux(332) =< 3/11*V9 aux(333) =< 3/13*V9 s(10111) =< aux(311) s(10164) =< aux(320) s(10217) =< aux(329) s(10170) =< aux(316) s(10180) =< aux(316) s(10270) =< s(10170)*aux(316) s(10271) =< s(10170)*s(10180) s(10222) =< aux(325) s(10223) =< aux(325) s(10224) =< aux(325) s(10225) =< aux(325) s(10226) =< aux(325) s(10217) =< aux(325) s(10217) =< aux(326) s(10224) =< aux(327) s(10225) =< aux(328) s(10227) =< aux(330) s(10228) =< aux(331) s(10229) =< aux(332) s(10230) =< aux(333) s(10231) =< aux(325)+2 s(10232) =< aux(325)+3 s(10233) =< aux(325) s(10225) =< aux(326)*(1/3)+aux(328) s(10226) =< aux(326)*(1/3)+aux(328) s(10224) =< aux(326)*(1/2)+aux(327) s(10225) =< aux(326)*(1/2)+aux(327) s(10226) =< aux(326)*(1/2)+aux(327) s(10227) =< aux(326)*(1/5)+aux(330) s(10222) =< aux(326)*(1/5)+aux(330) s(10228) =< aux(326)*(2/7)+aux(331) s(10227) =< aux(326)*(2/7)+aux(331) s(10222) =< aux(326)*(2/7)+aux(331) s(10229) =< aux(326)*(4/11)+s(10217)*(1/11)+aux(332) s(10228) =< aux(326)*(4/11)+s(10217)*(1/11)+aux(332) s(10227) =< aux(326)*(4/11)+s(10217)*(1/11)+aux(332) s(10222) =< aux(326)*(4/11)+s(10217)*(1/11)+aux(332) s(10230) =< aux(326)*(5/13)+s(10217)*(2/13)+aux(333) s(10229) =< aux(326)*(5/13)+s(10217)*(2/13)+aux(333) s(10228) =< aux(326)*(5/13)+s(10217)*(2/13)+aux(333) s(10227) =< aux(326)*(5/13)+s(10217)*(2/13)+aux(333) s(10222) =< aux(326)*(5/13)+s(10217)*(2/13)+aux(333) s(10234) =< s(10226)*s(10231) s(10235) =< s(10224)*s(10231) s(10236) =< s(10223)*s(10232) s(10237) =< s(10223)*s(10231) s(10238) =< s(10222)*s(10231) s(10239) =< s(10228)*s(10233) s(10240) =< s(10228)*s(10233) s(10241) =< s(10229)*s(10233) s(10242) =< s(10230)*s(10233) s(10243) =< s(10234) s(10244) =< s(10231) s(10245) =< s(10243)*s(10231) s(10246) =< s(10243)*s(10244) s(10247) =< s(10235) s(10248) =< s(10247)*s(10231) s(10249) =< s(10247)*s(10244) s(10250) =< s(10236) s(10251) =< s(10232) s(10252) =< s(10250)*s(10232) s(10253) =< s(10250)*s(10251) s(10254) =< s(10237) s(10255) =< s(10254)*s(10231) s(10256) =< s(10254)*s(10244) s(10257) =< s(10238) s(10258) =< s(10257)*s(10231) s(10259) =< s(10257)*s(10244) s(10260) =< s(10239) s(10261) =< s(10242) s(10262) =< s(10233) s(10263) =< s(10261)*s(10233) s(10264) =< s(10261)*s(10262) s(10265) =< s(10261)*aux(325) s(10169) =< aux(316) s(10171) =< aux(316) s(10172) =< aux(316) s(10173) =< aux(316) s(10164) =< aux(316) s(10164) =< aux(317) s(10171) =< aux(318) s(10172) =< aux(319) s(10174) =< aux(321) s(10175) =< aux(322) s(10176) =< aux(323) s(10177) =< aux(324) s(10178) =< aux(316)+2 s(10179) =< aux(316)+3 s(10172) =< aux(317)*(1/3)+aux(319) s(10173) =< aux(317)*(1/3)+aux(319) s(10171) =< aux(317)*(1/2)+aux(318) s(10172) =< aux(317)*(1/2)+aux(318) s(10173) =< aux(317)*(1/2)+aux(318) s(10174) =< aux(317)*(1/5)+aux(321) s(10169) =< aux(317)*(1/5)+aux(321) s(10175) =< aux(317)*(2/7)+aux(322) s(10174) =< aux(317)*(2/7)+aux(322) s(10169) =< aux(317)*(2/7)+aux(322) s(10176) =< aux(317)*(4/11)+s(10164)*(1/11)+aux(323) s(10175) =< aux(317)*(4/11)+s(10164)*(1/11)+aux(323) s(10174) =< aux(317)*(4/11)+s(10164)*(1/11)+aux(323) s(10169) =< aux(317)*(4/11)+s(10164)*(1/11)+aux(323) s(10177) =< aux(317)*(5/13)+s(10164)*(2/13)+aux(324) s(10176) =< aux(317)*(5/13)+s(10164)*(2/13)+aux(324) s(10175) =< aux(317)*(5/13)+s(10164)*(2/13)+aux(324) s(10174) =< aux(317)*(5/13)+s(10164)*(2/13)+aux(324) s(10169) =< aux(317)*(5/13)+s(10164)*(2/13)+aux(324) s(10181) =< s(10173)*s(10178) s(10182) =< s(10171)*s(10178) s(10183) =< s(10170)*s(10179) s(10184) =< s(10170)*s(10178) s(10185) =< s(10169)*s(10178) s(10186) =< s(10175)*s(10180) s(10187) =< s(10175)*s(10180) s(10188) =< s(10176)*s(10180) s(10189) =< s(10177)*s(10180) s(10190) =< s(10181) s(10191) =< s(10178) s(10192) =< s(10190)*s(10178) s(10193) =< s(10190)*s(10191) s(10194) =< s(10182) s(10195) =< s(10194)*s(10178) s(10196) =< s(10194)*s(10191) s(10197) =< s(10183) s(10198) =< s(10179) s(10199) =< s(10197)*s(10179) s(10200) =< s(10197)*s(10198) s(10201) =< s(10184) s(10202) =< s(10201)*s(10178) s(10203) =< s(10201)*s(10191) s(10204) =< s(10185) s(10205) =< s(10204)*s(10178) s(10206) =< s(10204)*s(10191) s(10207) =< s(10186) s(10208) =< s(10189) s(10209) =< s(10180) s(10210) =< s(10208)*s(10180) s(10211) =< s(10208)*s(10209) s(10212) =< s(10208)*aux(316) s(10116) =< aux(307) s(10117) =< aux(307) s(10118) =< aux(307) s(10119) =< aux(307) s(10120) =< aux(307) s(10111) =< aux(307) s(10111) =< aux(308) s(10118) =< aux(309) s(10119) =< aux(310) s(10121) =< aux(312) s(10122) =< aux(313) s(10123) =< aux(314) s(10124) =< aux(315) s(10125) =< aux(307)+2 s(10126) =< aux(307)+3 s(10127) =< aux(307) s(10119) =< aux(308)*(1/3)+aux(310) s(10120) =< aux(308)*(1/3)+aux(310) s(10118) =< aux(308)*(1/2)+aux(309) s(10119) =< aux(308)*(1/2)+aux(309) s(10120) =< aux(308)*(1/2)+aux(309) s(10121) =< aux(308)*(1/5)+aux(312) s(10116) =< aux(308)*(1/5)+aux(312) s(10122) =< aux(308)*(2/7)+aux(313) s(10121) =< aux(308)*(2/7)+aux(313) s(10116) =< aux(308)*(2/7)+aux(313) s(10123) =< aux(308)*(4/11)+s(10111)*(1/11)+aux(314) s(10122) =< aux(308)*(4/11)+s(10111)*(1/11)+aux(314) s(10121) =< aux(308)*(4/11)+s(10111)*(1/11)+aux(314) s(10116) =< aux(308)*(4/11)+s(10111)*(1/11)+aux(314) s(10124) =< aux(308)*(5/13)+s(10111)*(2/13)+aux(315) s(10123) =< aux(308)*(5/13)+s(10111)*(2/13)+aux(315) s(10122) =< aux(308)*(5/13)+s(10111)*(2/13)+aux(315) s(10121) =< aux(308)*(5/13)+s(10111)*(2/13)+aux(315) s(10116) =< aux(308)*(5/13)+s(10111)*(2/13)+aux(315) s(10128) =< s(10120)*s(10125) s(10129) =< s(10118)*s(10125) s(10130) =< s(10117)*s(10126) s(10131) =< s(10117)*s(10125) s(10132) =< s(10116)*s(10125) s(10133) =< s(10122)*s(10127) s(10134) =< s(10122)*s(10127) s(10135) =< s(10123)*s(10127) s(10136) =< s(10124)*s(10127) s(10137) =< s(10128) s(10138) =< s(10125) s(10139) =< s(10137)*s(10125) s(10140) =< s(10137)*s(10138) s(10141) =< s(10129) s(10142) =< s(10141)*s(10125) s(10143) =< s(10141)*s(10138) s(10144) =< s(10130) s(10145) =< s(10126) s(10146) =< s(10144)*s(10126) s(10147) =< s(10144)*s(10145) s(10148) =< s(10131) s(10149) =< s(10148)*s(10125) s(10150) =< s(10148)*s(10138) s(10151) =< s(10132) s(10152) =< s(10151)*s(10125) s(10153) =< s(10151)*s(10138) s(10154) =< s(10133) s(10155) =< s(10136) s(10156) =< s(10127) s(10157) =< s(10155)*s(10127) s(10158) =< s(10155)*s(10156) s(10159) =< s(10155)*aux(307) with precondition: [V>=2,V6>=3,V9>=1,Out>=1,V6+V9>=Out+1] * Chain [83]: 10*s(10788)+39*s(10789)+16*s(10790)+16*s(10791)+10*s(10792)+1*s(10793)+22*s(10794)+11*s(10795)+33*s(10796)+1*s(10806)+1*s(10807)+30*s(10809)+3*s(10811)+3*s(10812)+20*s(10813)+2*s(10814)+2*s(10815)+30*s(10816)+3*s(10818)+3*s(10819)+21*s(10820)+2*s(10821)+2*s(10822)+62*s(10823)+6*s(10824)+6*s(10825)+2*s(10826)+44*s(10827)+4*s(10829)+3*s(10830)+1*s(10831)+30*s(10841)+150*s(10842)+48*s(10843)+48*s(10844)+30*s(10845)+3*s(10846)+66*s(10847)+33*s(10848)+99*s(10849)+3*s(10859)+3*s(10860)+90*s(10862)+9*s(10864)+9*s(10865)+60*s(10866)+6*s(10867)+6*s(10868)+90*s(10869)+9*s(10871)+9*s(10872)+63*s(10873)+6*s(10874)+6*s(10875)+186*s(10876)+18*s(10877)+18*s(10878)+6*s(10879)+132*s(10880)+12*s(10882)+9*s(10883)+3*s(10884)+20*s(10894)+78*s(10895)+32*s(10896)+32*s(10897)+20*s(10898)+2*s(10899)+44*s(10900)+22*s(10901)+66*s(10902)+2*s(10912)+2*s(10913)+60*s(10915)+6*s(10917)+6*s(10918)+40*s(10919)+4*s(10920)+4*s(10921)+60*s(10922)+6*s(10924)+6*s(10925)+42*s(10926)+4*s(10927)+4*s(10928)+124*s(10929)+12*s(10930)+12*s(10931)+4*s(10932)+88*s(10933)+8*s(10935)+6*s(10936)+2*s(10937)+3*s(10942)+3*s(10943)+11 Such that:s(10779) =< V s(10780) =< 2*V+1 s(10781) =< V/2 s(10782) =< 2/3*V s(10783) =< 2/3*V+1/3 s(10784) =< 3/5*V s(10785) =< 3/7*V s(10786) =< 3/11*V s(10787) =< 3/13*V aux(337) =< V6 aux(338) =< 2*V6+1 aux(339) =< V6/2 aux(340) =< 2/3*V6 aux(341) =< 2/3*V6+1/3 aux(342) =< 3/5*V6 aux(343) =< 3/7*V6 aux(344) =< 3/11*V6 aux(345) =< 3/13*V6 aux(346) =< V9 aux(347) =< 2*V9+1 aux(348) =< V9/2 aux(349) =< 2/3*V9 aux(350) =< 2/3*V9+1/3 aux(351) =< 3/5*V9 aux(352) =< 3/7*V9 aux(353) =< 3/11*V9 aux(354) =< 3/13*V9 s(10836) =< aux(341) s(10889) =< aux(350) s(10842) =< aux(337) s(10852) =< aux(337) s(10942) =< s(10842)*aux(337) s(10943) =< s(10842)*s(10852) s(10894) =< aux(346) s(10895) =< aux(346) s(10896) =< aux(346) s(10897) =< aux(346) s(10898) =< aux(346) s(10889) =< aux(346) s(10889) =< aux(347) s(10896) =< aux(348) s(10897) =< aux(349) s(10899) =< aux(351) s(10900) =< aux(352) s(10901) =< aux(353) s(10902) =< aux(354) s(10903) =< aux(346)+2 s(10904) =< aux(346)+3 s(10905) =< aux(346) s(10897) =< aux(347)*(1/3)+aux(349) s(10898) =< aux(347)*(1/3)+aux(349) s(10896) =< aux(347)*(1/2)+aux(348) s(10897) =< aux(347)*(1/2)+aux(348) s(10898) =< aux(347)*(1/2)+aux(348) s(10899) =< aux(347)*(1/5)+aux(351) s(10894) =< aux(347)*(1/5)+aux(351) s(10900) =< aux(347)*(2/7)+aux(352) s(10899) =< aux(347)*(2/7)+aux(352) s(10894) =< aux(347)*(2/7)+aux(352) s(10901) =< aux(347)*(4/11)+s(10889)*(1/11)+aux(353) s(10900) =< aux(347)*(4/11)+s(10889)*(1/11)+aux(353) s(10899) =< aux(347)*(4/11)+s(10889)*(1/11)+aux(353) s(10894) =< aux(347)*(4/11)+s(10889)*(1/11)+aux(353) s(10902) =< aux(347)*(5/13)+s(10889)*(2/13)+aux(354) s(10901) =< aux(347)*(5/13)+s(10889)*(2/13)+aux(354) s(10900) =< aux(347)*(5/13)+s(10889)*(2/13)+aux(354) s(10899) =< aux(347)*(5/13)+s(10889)*(2/13)+aux(354) s(10894) =< aux(347)*(5/13)+s(10889)*(2/13)+aux(354) s(10906) =< s(10898)*s(10903) s(10907) =< s(10896)*s(10903) s(10908) =< s(10895)*s(10904) s(10909) =< s(10895)*s(10903) s(10910) =< s(10894)*s(10903) s(10911) =< s(10900)*s(10905) s(10912) =< s(10900)*s(10905) s(10913) =< s(10901)*s(10905) s(10914) =< s(10902)*s(10905) s(10915) =< s(10906) s(10916) =< s(10903) s(10917) =< s(10915)*s(10903) s(10918) =< s(10915)*s(10916) s(10919) =< s(10907) s(10920) =< s(10919)*s(10903) s(10921) =< s(10919)*s(10916) s(10922) =< s(10908) s(10923) =< s(10904) s(10924) =< s(10922)*s(10904) s(10925) =< s(10922)*s(10923) s(10926) =< s(10909) s(10927) =< s(10926)*s(10903) s(10928) =< s(10926)*s(10916) s(10929) =< s(10910) s(10930) =< s(10929)*s(10903) s(10931) =< s(10929)*s(10916) s(10932) =< s(10911) s(10933) =< s(10914) s(10934) =< s(10905) s(10935) =< s(10933)*s(10905) s(10936) =< s(10933)*s(10934) s(10937) =< s(10933)*aux(346) s(10841) =< aux(337) s(10843) =< aux(337) s(10844) =< aux(337) s(10845) =< aux(337) s(10836) =< aux(337) s(10836) =< aux(338) s(10843) =< aux(339) s(10844) =< aux(340) s(10846) =< aux(342) s(10847) =< aux(343) s(10848) =< aux(344) s(10849) =< aux(345) s(10850) =< aux(337)+2 s(10851) =< aux(337)+3 s(10844) =< aux(338)*(1/3)+aux(340) s(10845) =< aux(338)*(1/3)+aux(340) s(10843) =< aux(338)*(1/2)+aux(339) s(10844) =< aux(338)*(1/2)+aux(339) s(10845) =< aux(338)*(1/2)+aux(339) s(10846) =< aux(338)*(1/5)+aux(342) s(10841) =< aux(338)*(1/5)+aux(342) s(10847) =< aux(338)*(2/7)+aux(343) s(10846) =< aux(338)*(2/7)+aux(343) s(10841) =< aux(338)*(2/7)+aux(343) s(10848) =< aux(338)*(4/11)+s(10836)*(1/11)+aux(344) s(10847) =< aux(338)*(4/11)+s(10836)*(1/11)+aux(344) s(10846) =< aux(338)*(4/11)+s(10836)*(1/11)+aux(344) s(10841) =< aux(338)*(4/11)+s(10836)*(1/11)+aux(344) s(10849) =< aux(338)*(5/13)+s(10836)*(2/13)+aux(345) s(10848) =< aux(338)*(5/13)+s(10836)*(2/13)+aux(345) s(10847) =< aux(338)*(5/13)+s(10836)*(2/13)+aux(345) s(10846) =< aux(338)*(5/13)+s(10836)*(2/13)+aux(345) s(10841) =< aux(338)*(5/13)+s(10836)*(2/13)+aux(345) s(10853) =< s(10845)*s(10850) s(10854) =< s(10843)*s(10850) s(10855) =< s(10842)*s(10851) s(10856) =< s(10842)*s(10850) s(10857) =< s(10841)*s(10850) s(10858) =< s(10847)*s(10852) s(10859) =< s(10847)*s(10852) s(10860) =< s(10848)*s(10852) s(10861) =< s(10849)*s(10852) s(10862) =< s(10853) s(10863) =< s(10850) s(10864) =< s(10862)*s(10850) s(10865) =< s(10862)*s(10863) s(10866) =< s(10854) s(10867) =< s(10866)*s(10850) s(10868) =< s(10866)*s(10863) s(10869) =< s(10855) s(10870) =< s(10851) s(10871) =< s(10869)*s(10851) s(10872) =< s(10869)*s(10870) s(10873) =< s(10856) s(10874) =< s(10873)*s(10850) s(10875) =< s(10873)*s(10863) s(10876) =< s(10857) s(10877) =< s(10876)*s(10850) s(10878) =< s(10876)*s(10863) s(10879) =< s(10858) s(10880) =< s(10861) s(10881) =< s(10852) s(10882) =< s(10880)*s(10852) s(10883) =< s(10880)*s(10881) s(10884) =< s(10880)*aux(337) s(10788) =< s(10779) s(10789) =< s(10779) s(10790) =< s(10779) s(10791) =< s(10779) s(10792) =< s(10779) s(10783) =< s(10779) s(10783) =< s(10780) s(10790) =< s(10781) s(10791) =< s(10782) s(10793) =< s(10784) s(10794) =< s(10785) s(10795) =< s(10786) s(10796) =< s(10787) s(10797) =< s(10779)+2 s(10798) =< s(10779)+3 s(10799) =< s(10779) s(10791) =< s(10780)*(1/3)+s(10782) s(10792) =< s(10780)*(1/3)+s(10782) s(10790) =< s(10780)*(1/2)+s(10781) s(10791) =< s(10780)*(1/2)+s(10781) s(10792) =< s(10780)*(1/2)+s(10781) s(10793) =< s(10780)*(1/5)+s(10784) s(10788) =< s(10780)*(1/5)+s(10784) s(10794) =< s(10780)*(2/7)+s(10785) s(10793) =< s(10780)*(2/7)+s(10785) s(10788) =< s(10780)*(2/7)+s(10785) s(10795) =< s(10780)*(4/11)+s(10783)*(1/11)+s(10786) s(10794) =< s(10780)*(4/11)+s(10783)*(1/11)+s(10786) s(10793) =< s(10780)*(4/11)+s(10783)*(1/11)+s(10786) s(10788) =< s(10780)*(4/11)+s(10783)*(1/11)+s(10786) s(10796) =< s(10780)*(5/13)+s(10783)*(2/13)+s(10787) s(10795) =< s(10780)*(5/13)+s(10783)*(2/13)+s(10787) s(10794) =< s(10780)*(5/13)+s(10783)*(2/13)+s(10787) s(10793) =< s(10780)*(5/13)+s(10783)*(2/13)+s(10787) s(10788) =< s(10780)*(5/13)+s(10783)*(2/13)+s(10787) s(10800) =< s(10792)*s(10797) s(10801) =< s(10790)*s(10797) s(10802) =< s(10789)*s(10798) s(10803) =< s(10789)*s(10797) s(10804) =< s(10788)*s(10797) s(10805) =< s(10794)*s(10799) s(10806) =< s(10794)*s(10799) s(10807) =< s(10795)*s(10799) s(10808) =< s(10796)*s(10799) s(10809) =< s(10800) s(10810) =< s(10797) s(10811) =< s(10809)*s(10797) s(10812) =< s(10809)*s(10810) s(10813) =< s(10801) s(10814) =< s(10813)*s(10797) s(10815) =< s(10813)*s(10810) s(10816) =< s(10802) s(10817) =< s(10798) s(10818) =< s(10816)*s(10798) s(10819) =< s(10816)*s(10817) s(10820) =< s(10803) s(10821) =< s(10820)*s(10797) s(10822) =< s(10820)*s(10810) s(10823) =< s(10804) s(10824) =< s(10823)*s(10797) s(10825) =< s(10823)*s(10810) s(10826) =< s(10805) s(10827) =< s(10808) s(10828) =< s(10799) s(10829) =< s(10827)*s(10799) s(10830) =< s(10827)*s(10828) s(10831) =< s(10827)*s(10779) with precondition: [V>=2,V6>=3,V9>=1,Out>=2,V6+V9>=Out] * Chain [82]: 10*s(11124)+39*s(11125)+16*s(11126)+16*s(11127)+10*s(11128)+1*s(11129)+22*s(11130)+11*s(11131)+33*s(11132)+1*s(11142)+1*s(11143)+30*s(11145)+3*s(11147)+3*s(11148)+20*s(11149)+2*s(11150)+2*s(11151)+30*s(11152)+3*s(11154)+3*s(11155)+21*s(11156)+2*s(11157)+2*s(11158)+62*s(11159)+6*s(11160)+6*s(11161)+2*s(11162)+44*s(11163)+4*s(11165)+3*s(11166)+1*s(11167)+20*s(11177)+100*s(11178)+32*s(11179)+32*s(11180)+20*s(11181)+2*s(11182)+44*s(11183)+22*s(11184)+66*s(11185)+2*s(11195)+2*s(11196)+60*s(11198)+6*s(11200)+6*s(11201)+40*s(11202)+4*s(11203)+4*s(11204)+60*s(11205)+6*s(11207)+6*s(11208)+42*s(11209)+4*s(11210)+4*s(11211)+124*s(11212)+12*s(11213)+12*s(11214)+4*s(11215)+88*s(11216)+8*s(11218)+6*s(11219)+2*s(11220)+2*s(11225)+2*s(11226)+11 Such that:s(11115) =< V s(11116) =< 2*V+1 s(11117) =< V/2 s(11118) =< 2/3*V s(11119) =< 2/3*V+1/3 s(11120) =< 3/5*V s(11121) =< 3/7*V s(11122) =< 3/11*V s(11123) =< 3/13*V aux(357) =< V6 aux(358) =< 2*V6+1 aux(359) =< V6/2 aux(360) =< 2/3*V6 aux(361) =< 2/3*V6+1/3 aux(362) =< 3/5*V6 aux(363) =< 3/7*V6 aux(364) =< 3/11*V6 aux(365) =< 3/13*V6 s(11172) =< aux(361) s(11178) =< aux(357) s(11188) =< aux(357) s(11225) =< s(11178)*aux(357) s(11226) =< s(11178)*s(11188) s(11177) =< aux(357) s(11179) =< aux(357) s(11180) =< aux(357) s(11181) =< aux(357) s(11172) =< aux(357) s(11172) =< aux(358) s(11179) =< aux(359) s(11180) =< aux(360) s(11182) =< aux(362) s(11183) =< aux(363) s(11184) =< aux(364) s(11185) =< aux(365) s(11186) =< aux(357)+2 s(11187) =< aux(357)+3 s(11180) =< aux(358)*(1/3)+aux(360) s(11181) =< aux(358)*(1/3)+aux(360) s(11179) =< aux(358)*(1/2)+aux(359) s(11180) =< aux(358)*(1/2)+aux(359) s(11181) =< aux(358)*(1/2)+aux(359) s(11182) =< aux(358)*(1/5)+aux(362) s(11177) =< aux(358)*(1/5)+aux(362) s(11183) =< aux(358)*(2/7)+aux(363) s(11182) =< aux(358)*(2/7)+aux(363) s(11177) =< aux(358)*(2/7)+aux(363) s(11184) =< aux(358)*(4/11)+s(11172)*(1/11)+aux(364) s(11183) =< aux(358)*(4/11)+s(11172)*(1/11)+aux(364) s(11182) =< aux(358)*(4/11)+s(11172)*(1/11)+aux(364) s(11177) =< aux(358)*(4/11)+s(11172)*(1/11)+aux(364) s(11185) =< aux(358)*(5/13)+s(11172)*(2/13)+aux(365) s(11184) =< aux(358)*(5/13)+s(11172)*(2/13)+aux(365) s(11183) =< aux(358)*(5/13)+s(11172)*(2/13)+aux(365) s(11182) =< aux(358)*(5/13)+s(11172)*(2/13)+aux(365) s(11177) =< aux(358)*(5/13)+s(11172)*(2/13)+aux(365) s(11189) =< s(11181)*s(11186) s(11190) =< s(11179)*s(11186) s(11191) =< s(11178)*s(11187) s(11192) =< s(11178)*s(11186) s(11193) =< s(11177)*s(11186) s(11194) =< s(11183)*s(11188) s(11195) =< s(11183)*s(11188) s(11196) =< s(11184)*s(11188) s(11197) =< s(11185)*s(11188) s(11198) =< s(11189) s(11199) =< s(11186) s(11200) =< s(11198)*s(11186) s(11201) =< s(11198)*s(11199) s(11202) =< s(11190) s(11203) =< s(11202)*s(11186) s(11204) =< s(11202)*s(11199) s(11205) =< s(11191) s(11206) =< s(11187) s(11207) =< s(11205)*s(11187) s(11208) =< s(11205)*s(11206) s(11209) =< s(11192) s(11210) =< s(11209)*s(11186) s(11211) =< s(11209)*s(11199) s(11212) =< s(11193) s(11213) =< s(11212)*s(11186) s(11214) =< s(11212)*s(11199) s(11215) =< s(11194) s(11216) =< s(11197) s(11217) =< s(11188) s(11218) =< s(11216)*s(11188) s(11219) =< s(11216)*s(11217) s(11220) =< s(11216)*aux(357) s(11124) =< s(11115) s(11125) =< s(11115) s(11126) =< s(11115) s(11127) =< s(11115) s(11128) =< s(11115) s(11119) =< s(11115) s(11119) =< s(11116) s(11126) =< s(11117) s(11127) =< s(11118) s(11129) =< s(11120) s(11130) =< s(11121) s(11131) =< s(11122) s(11132) =< s(11123) s(11133) =< s(11115)+2 s(11134) =< s(11115)+3 s(11135) =< s(11115) s(11127) =< s(11116)*(1/3)+s(11118) s(11128) =< s(11116)*(1/3)+s(11118) s(11126) =< s(11116)*(1/2)+s(11117) s(11127) =< s(11116)*(1/2)+s(11117) s(11128) =< s(11116)*(1/2)+s(11117) s(11129) =< s(11116)*(1/5)+s(11120) s(11124) =< s(11116)*(1/5)+s(11120) s(11130) =< s(11116)*(2/7)+s(11121) s(11129) =< s(11116)*(2/7)+s(11121) s(11124) =< s(11116)*(2/7)+s(11121) s(11131) =< s(11116)*(4/11)+s(11119)*(1/11)+s(11122) s(11130) =< s(11116)*(4/11)+s(11119)*(1/11)+s(11122) s(11129) =< s(11116)*(4/11)+s(11119)*(1/11)+s(11122) s(11124) =< s(11116)*(4/11)+s(11119)*(1/11)+s(11122) s(11132) =< s(11116)*(5/13)+s(11119)*(2/13)+s(11123) s(11131) =< s(11116)*(5/13)+s(11119)*(2/13)+s(11123) s(11130) =< s(11116)*(5/13)+s(11119)*(2/13)+s(11123) s(11129) =< s(11116)*(5/13)+s(11119)*(2/13)+s(11123) s(11124) =< s(11116)*(5/13)+s(11119)*(2/13)+s(11123) s(11136) =< s(11128)*s(11133) s(11137) =< s(11126)*s(11133) s(11138) =< s(11125)*s(11134) s(11139) =< s(11125)*s(11133) s(11140) =< s(11124)*s(11133) s(11141) =< s(11130)*s(11135) s(11142) =< s(11130)*s(11135) s(11143) =< s(11131)*s(11135) s(11144) =< s(11132)*s(11135) s(11145) =< s(11136) s(11146) =< s(11133) s(11147) =< s(11145)*s(11133) s(11148) =< s(11145)*s(11146) s(11149) =< s(11137) s(11150) =< s(11149)*s(11133) s(11151) =< s(11149)*s(11146) s(11152) =< s(11138) s(11153) =< s(11134) s(11154) =< s(11152)*s(11134) s(11155) =< s(11152)*s(11153) s(11156) =< s(11139) s(11157) =< s(11156)*s(11133) s(11158) =< s(11156)*s(11146) s(11159) =< s(11140) s(11160) =< s(11159)*s(11133) s(11161) =< s(11159)*s(11146) s(11162) =< s(11141) s(11163) =< s(11144) s(11164) =< s(11135) s(11165) =< s(11163)*s(11135) s(11166) =< s(11163)*s(11164) s(11167) =< s(11163)*s(11115) with precondition: [V>=2,V6>=3,V9>=0,Out>=0,V6>=Out+2] * Chain [81]: 20*s(11295)+78*s(11296)+32*s(11297)+32*s(11298)+20*s(11299)+2*s(11300)+44*s(11301)+22*s(11302)+66*s(11303)+2*s(11313)+2*s(11314)+60*s(11316)+6*s(11318)+6*s(11319)+40*s(11320)+4*s(11321)+4*s(11322)+60*s(11323)+6*s(11325)+6*s(11326)+42*s(11327)+4*s(11328)+4*s(11329)+124*s(11330)+12*s(11331)+12*s(11332)+4*s(11333)+88*s(11334)+8*s(11336)+6*s(11337)+2*s(11338)+40*s(11348)+200*s(11349)+64*s(11350)+64*s(11351)+40*s(11352)+4*s(11353)+88*s(11354)+44*s(11355)+132*s(11356)+4*s(11366)+4*s(11367)+120*s(11369)+12*s(11371)+12*s(11372)+80*s(11373)+8*s(11374)+8*s(11375)+120*s(11376)+12*s(11378)+12*s(11379)+84*s(11380)+8*s(11381)+8*s(11382)+248*s(11383)+24*s(11384)+24*s(11385)+8*s(11386)+176*s(11387)+16*s(11389)+12*s(11390)+4*s(11391)+4*s(11396)+4*s(11397)+11 Such that:aux(370) =< V aux(371) =< 2*V+1 aux(372) =< V/2 aux(373) =< 2/3*V aux(374) =< 2/3*V+1/3 aux(375) =< 3/5*V aux(376) =< 3/7*V aux(377) =< 3/11*V aux(378) =< 3/13*V aux(379) =< V6 aux(380) =< 2*V6+1 aux(381) =< V6/2 aux(382) =< 2/3*V6 aux(383) =< 2/3*V6+1/3 aux(384) =< 3/5*V6 aux(385) =< 3/7*V6 aux(386) =< 3/11*V6 aux(387) =< 3/13*V6 s(11290) =< aux(374) s(11343) =< aux(383) s(11349) =< aux(379) s(11359) =< aux(379) s(11396) =< s(11349)*aux(379) s(11397) =< s(11349)*s(11359) s(11348) =< aux(379) s(11350) =< aux(379) s(11351) =< aux(379) s(11352) =< aux(379) s(11343) =< aux(379) s(11343) =< aux(380) s(11350) =< aux(381) s(11351) =< aux(382) s(11353) =< aux(384) s(11354) =< aux(385) s(11355) =< aux(386) s(11356) =< aux(387) s(11357) =< aux(379)+2 s(11358) =< aux(379)+3 s(11351) =< aux(380)*(1/3)+aux(382) s(11352) =< aux(380)*(1/3)+aux(382) s(11350) =< aux(380)*(1/2)+aux(381) s(11351) =< aux(380)*(1/2)+aux(381) s(11352) =< aux(380)*(1/2)+aux(381) s(11353) =< aux(380)*(1/5)+aux(384) s(11348) =< aux(380)*(1/5)+aux(384) s(11354) =< aux(380)*(2/7)+aux(385) s(11353) =< aux(380)*(2/7)+aux(385) s(11348) =< aux(380)*(2/7)+aux(385) s(11355) =< aux(380)*(4/11)+s(11343)*(1/11)+aux(386) s(11354) =< aux(380)*(4/11)+s(11343)*(1/11)+aux(386) s(11353) =< aux(380)*(4/11)+s(11343)*(1/11)+aux(386) s(11348) =< aux(380)*(4/11)+s(11343)*(1/11)+aux(386) s(11356) =< aux(380)*(5/13)+s(11343)*(2/13)+aux(387) s(11355) =< aux(380)*(5/13)+s(11343)*(2/13)+aux(387) s(11354) =< aux(380)*(5/13)+s(11343)*(2/13)+aux(387) s(11353) =< aux(380)*(5/13)+s(11343)*(2/13)+aux(387) s(11348) =< aux(380)*(5/13)+s(11343)*(2/13)+aux(387) s(11360) =< s(11352)*s(11357) s(11361) =< s(11350)*s(11357) s(11362) =< s(11349)*s(11358) s(11363) =< s(11349)*s(11357) s(11364) =< s(11348)*s(11357) s(11365) =< s(11354)*s(11359) s(11366) =< s(11354)*s(11359) s(11367) =< s(11355)*s(11359) s(11368) =< s(11356)*s(11359) s(11369) =< s(11360) s(11370) =< s(11357) s(11371) =< s(11369)*s(11357) s(11372) =< s(11369)*s(11370) s(11373) =< s(11361) s(11374) =< s(11373)*s(11357) s(11375) =< s(11373)*s(11370) s(11376) =< s(11362) s(11377) =< s(11358) s(11378) =< s(11376)*s(11358) s(11379) =< s(11376)*s(11377) s(11380) =< s(11363) s(11381) =< s(11380)*s(11357) s(11382) =< s(11380)*s(11370) s(11383) =< s(11364) s(11384) =< s(11383)*s(11357) s(11385) =< s(11383)*s(11370) s(11386) =< s(11365) s(11387) =< s(11368) s(11388) =< s(11359) s(11389) =< s(11387)*s(11359) s(11390) =< s(11387)*s(11388) s(11391) =< s(11387)*aux(379) s(11295) =< aux(370) s(11296) =< aux(370) s(11297) =< aux(370) s(11298) =< aux(370) s(11299) =< aux(370) s(11290) =< aux(370) s(11290) =< aux(371) s(11297) =< aux(372) s(11298) =< aux(373) s(11300) =< aux(375) s(11301) =< aux(376) s(11302) =< aux(377) s(11303) =< aux(378) s(11304) =< aux(370)+2 s(11305) =< aux(370)+3 s(11306) =< aux(370) s(11298) =< aux(371)*(1/3)+aux(373) s(11299) =< aux(371)*(1/3)+aux(373) s(11297) =< aux(371)*(1/2)+aux(372) s(11298) =< aux(371)*(1/2)+aux(372) s(11299) =< aux(371)*(1/2)+aux(372) s(11300) =< aux(371)*(1/5)+aux(375) s(11295) =< aux(371)*(1/5)+aux(375) s(11301) =< aux(371)*(2/7)+aux(376) s(11300) =< aux(371)*(2/7)+aux(376) s(11295) =< aux(371)*(2/7)+aux(376) s(11302) =< aux(371)*(4/11)+s(11290)*(1/11)+aux(377) s(11301) =< aux(371)*(4/11)+s(11290)*(1/11)+aux(377) s(11300) =< aux(371)*(4/11)+s(11290)*(1/11)+aux(377) s(11295) =< aux(371)*(4/11)+s(11290)*(1/11)+aux(377) s(11303) =< aux(371)*(5/13)+s(11290)*(2/13)+aux(378) s(11302) =< aux(371)*(5/13)+s(11290)*(2/13)+aux(378) s(11301) =< aux(371)*(5/13)+s(11290)*(2/13)+aux(378) s(11300) =< aux(371)*(5/13)+s(11290)*(2/13)+aux(378) s(11295) =< aux(371)*(5/13)+s(11290)*(2/13)+aux(378) s(11307) =< s(11299)*s(11304) s(11308) =< s(11297)*s(11304) s(11309) =< s(11296)*s(11305) s(11310) =< s(11296)*s(11304) s(11311) =< s(11295)*s(11304) s(11312) =< s(11301)*s(11306) s(11313) =< s(11301)*s(11306) s(11314) =< s(11302)*s(11306) s(11315) =< s(11303)*s(11306) s(11316) =< s(11307) s(11317) =< s(11304) s(11318) =< s(11316)*s(11304) s(11319) =< s(11316)*s(11317) s(11320) =< s(11308) s(11321) =< s(11320)*s(11304) s(11322) =< s(11320)*s(11317) s(11323) =< s(11309) s(11324) =< s(11305) s(11325) =< s(11323)*s(11305) s(11326) =< s(11323)*s(11324) s(11327) =< s(11310) s(11328) =< s(11327)*s(11304) s(11329) =< s(11327)*s(11317) s(11330) =< s(11311) s(11331) =< s(11330)*s(11304) s(11332) =< s(11330)*s(11317) s(11333) =< s(11312) s(11334) =< s(11315) s(11335) =< s(11306) s(11336) =< s(11334)*s(11306) s(11337) =< s(11334)*s(11335) s(11338) =< s(11334)*aux(370) with precondition: [V>=2,V6>=3,V9>=0,Out>=1,V6>=Out+1] * Chain [80]: 10*s(11637)+39*s(11638)+16*s(11639)+16*s(11640)+10*s(11641)+1*s(11642)+22*s(11643)+11*s(11644)+33*s(11645)+1*s(11655)+1*s(11656)+30*s(11658)+3*s(11660)+3*s(11661)+20*s(11662)+2*s(11663)+2*s(11664)+30*s(11665)+3*s(11667)+3*s(11668)+21*s(11669)+2*s(11670)+2*s(11671)+62*s(11672)+6*s(11673)+6*s(11674)+2*s(11675)+44*s(11676)+4*s(11678)+3*s(11679)+1*s(11680)+20*s(11690)+100*s(11691)+32*s(11692)+32*s(11693)+20*s(11694)+2*s(11695)+44*s(11696)+22*s(11697)+66*s(11698)+2*s(11708)+2*s(11709)+60*s(11711)+6*s(11713)+6*s(11714)+40*s(11715)+4*s(11716)+4*s(11717)+60*s(11718)+6*s(11720)+6*s(11721)+42*s(11722)+4*s(11723)+4*s(11724)+124*s(11725)+12*s(11726)+12*s(11727)+4*s(11728)+88*s(11729)+8*s(11731)+6*s(11732)+2*s(11733)+20*s(11743)+78*s(11744)+32*s(11745)+32*s(11746)+20*s(11747)+2*s(11748)+44*s(11749)+22*s(11750)+66*s(11751)+2*s(11761)+2*s(11762)+60*s(11764)+6*s(11766)+6*s(11767)+40*s(11768)+4*s(11769)+4*s(11770)+60*s(11771)+6*s(11773)+6*s(11774)+42*s(11775)+4*s(11776)+4*s(11777)+124*s(11778)+12*s(11779)+12*s(11780)+4*s(11781)+88*s(11782)+8*s(11784)+6*s(11785)+2*s(11786)+2*s(11791)+2*s(11792)+11 Such that:s(11628) =< V s(11629) =< 2*V+1 s(11630) =< V/2 s(11631) =< 2/3*V s(11632) =< 2/3*V+1/3 s(11633) =< 3/5*V s(11634) =< 3/7*V s(11635) =< 3/11*V s(11636) =< 3/13*V aux(390) =< V6 aux(391) =< 2*V6+1 aux(392) =< V6/2 aux(393) =< 2/3*V6 aux(394) =< 2/3*V6+1/3 aux(395) =< 3/5*V6 aux(396) =< 3/7*V6 aux(397) =< 3/11*V6 aux(398) =< 3/13*V6 aux(399) =< V9 aux(400) =< 2*V9+1 aux(401) =< V9/2 aux(402) =< 2/3*V9 aux(403) =< 2/3*V9+1/3 aux(404) =< 3/5*V9 aux(405) =< 3/7*V9 aux(406) =< 3/11*V9 aux(407) =< 3/13*V9 s(11685) =< aux(394) s(11738) =< aux(403) s(11691) =< aux(390) s(11701) =< aux(390) s(11791) =< s(11691)*aux(390) s(11792) =< s(11691)*s(11701) s(11743) =< aux(399) s(11744) =< aux(399) s(11745) =< aux(399) s(11746) =< aux(399) s(11747) =< aux(399) s(11738) =< aux(399) s(11738) =< aux(400) s(11745) =< aux(401) s(11746) =< aux(402) s(11748) =< aux(404) s(11749) =< aux(405) s(11750) =< aux(406) s(11751) =< aux(407) s(11752) =< aux(399)+2 s(11753) =< aux(399)+3 s(11754) =< aux(399) s(11746) =< aux(400)*(1/3)+aux(402) s(11747) =< aux(400)*(1/3)+aux(402) s(11745) =< aux(400)*(1/2)+aux(401) s(11746) =< aux(400)*(1/2)+aux(401) s(11747) =< aux(400)*(1/2)+aux(401) s(11748) =< aux(400)*(1/5)+aux(404) s(11743) =< aux(400)*(1/5)+aux(404) s(11749) =< aux(400)*(2/7)+aux(405) s(11748) =< aux(400)*(2/7)+aux(405) s(11743) =< aux(400)*(2/7)+aux(405) s(11750) =< aux(400)*(4/11)+s(11738)*(1/11)+aux(406) s(11749) =< aux(400)*(4/11)+s(11738)*(1/11)+aux(406) s(11748) =< aux(400)*(4/11)+s(11738)*(1/11)+aux(406) s(11743) =< aux(400)*(4/11)+s(11738)*(1/11)+aux(406) s(11751) =< aux(400)*(5/13)+s(11738)*(2/13)+aux(407) s(11750) =< aux(400)*(5/13)+s(11738)*(2/13)+aux(407) s(11749) =< aux(400)*(5/13)+s(11738)*(2/13)+aux(407) s(11748) =< aux(400)*(5/13)+s(11738)*(2/13)+aux(407) s(11743) =< aux(400)*(5/13)+s(11738)*(2/13)+aux(407) s(11755) =< s(11747)*s(11752) s(11756) =< s(11745)*s(11752) s(11757) =< s(11744)*s(11753) s(11758) =< s(11744)*s(11752) s(11759) =< s(11743)*s(11752) s(11760) =< s(11749)*s(11754) s(11761) =< s(11749)*s(11754) s(11762) =< s(11750)*s(11754) s(11763) =< s(11751)*s(11754) s(11764) =< s(11755) s(11765) =< s(11752) s(11766) =< s(11764)*s(11752) s(11767) =< s(11764)*s(11765) s(11768) =< s(11756) s(11769) =< s(11768)*s(11752) s(11770) =< s(11768)*s(11765) s(11771) =< s(11757) s(11772) =< s(11753) s(11773) =< s(11771)*s(11753) s(11774) =< s(11771)*s(11772) s(11775) =< s(11758) s(11776) =< s(11775)*s(11752) s(11777) =< s(11775)*s(11765) s(11778) =< s(11759) s(11779) =< s(11778)*s(11752) s(11780) =< s(11778)*s(11765) s(11781) =< s(11760) s(11782) =< s(11763) s(11783) =< s(11754) s(11784) =< s(11782)*s(11754) s(11785) =< s(11782)*s(11783) s(11786) =< s(11782)*aux(399) s(11690) =< aux(390) s(11692) =< aux(390) s(11693) =< aux(390) s(11694) =< aux(390) s(11685) =< aux(390) s(11685) =< aux(391) s(11692) =< aux(392) s(11693) =< aux(393) s(11695) =< aux(395) s(11696) =< aux(396) s(11697) =< aux(397) s(11698) =< aux(398) s(11699) =< aux(390)+2 s(11700) =< aux(390)+3 s(11693) =< aux(391)*(1/3)+aux(393) s(11694) =< aux(391)*(1/3)+aux(393) s(11692) =< aux(391)*(1/2)+aux(392) s(11693) =< aux(391)*(1/2)+aux(392) s(11694) =< aux(391)*(1/2)+aux(392) s(11695) =< aux(391)*(1/5)+aux(395) s(11690) =< aux(391)*(1/5)+aux(395) s(11696) =< aux(391)*(2/7)+aux(396) s(11695) =< aux(391)*(2/7)+aux(396) s(11690) =< aux(391)*(2/7)+aux(396) s(11697) =< aux(391)*(4/11)+s(11685)*(1/11)+aux(397) s(11696) =< aux(391)*(4/11)+s(11685)*(1/11)+aux(397) s(11695) =< aux(391)*(4/11)+s(11685)*(1/11)+aux(397) s(11690) =< aux(391)*(4/11)+s(11685)*(1/11)+aux(397) s(11698) =< aux(391)*(5/13)+s(11685)*(2/13)+aux(398) s(11697) =< aux(391)*(5/13)+s(11685)*(2/13)+aux(398) s(11696) =< aux(391)*(5/13)+s(11685)*(2/13)+aux(398) s(11695) =< aux(391)*(5/13)+s(11685)*(2/13)+aux(398) s(11690) =< aux(391)*(5/13)+s(11685)*(2/13)+aux(398) s(11702) =< s(11694)*s(11699) s(11703) =< s(11692)*s(11699) s(11704) =< s(11691)*s(11700) s(11705) =< s(11691)*s(11699) s(11706) =< s(11690)*s(11699) s(11707) =< s(11696)*s(11701) s(11708) =< s(11696)*s(11701) s(11709) =< s(11697)*s(11701) s(11710) =< s(11698)*s(11701) s(11711) =< s(11702) s(11712) =< s(11699) s(11713) =< s(11711)*s(11699) s(11714) =< s(11711)*s(11712) s(11715) =< s(11703) s(11716) =< s(11715)*s(11699) s(11717) =< s(11715)*s(11712) s(11718) =< s(11704) s(11719) =< s(11700) s(11720) =< s(11718)*s(11700) s(11721) =< s(11718)*s(11719) s(11722) =< s(11705) s(11723) =< s(11722)*s(11699) s(11724) =< s(11722)*s(11712) s(11725) =< s(11706) s(11726) =< s(11725)*s(11699) s(11727) =< s(11725)*s(11712) s(11728) =< s(11707) s(11729) =< s(11710) s(11730) =< s(11701) s(11731) =< s(11729)*s(11701) s(11732) =< s(11729)*s(11730) s(11733) =< s(11729)*aux(390) s(11637) =< s(11628) s(11638) =< s(11628) s(11639) =< s(11628) s(11640) =< s(11628) s(11641) =< s(11628) s(11632) =< s(11628) s(11632) =< s(11629) s(11639) =< s(11630) s(11640) =< s(11631) s(11642) =< s(11633) s(11643) =< s(11634) s(11644) =< s(11635) s(11645) =< s(11636) s(11646) =< s(11628)+2 s(11647) =< s(11628)+3 s(11648) =< s(11628) s(11640) =< s(11629)*(1/3)+s(11631) s(11641) =< s(11629)*(1/3)+s(11631) s(11639) =< s(11629)*(1/2)+s(11630) s(11640) =< s(11629)*(1/2)+s(11630) s(11641) =< s(11629)*(1/2)+s(11630) s(11642) =< s(11629)*(1/5)+s(11633) s(11637) =< s(11629)*(1/5)+s(11633) s(11643) =< s(11629)*(2/7)+s(11634) s(11642) =< s(11629)*(2/7)+s(11634) s(11637) =< s(11629)*(2/7)+s(11634) s(11644) =< s(11629)*(4/11)+s(11632)*(1/11)+s(11635) s(11643) =< s(11629)*(4/11)+s(11632)*(1/11)+s(11635) s(11642) =< s(11629)*(4/11)+s(11632)*(1/11)+s(11635) s(11637) =< s(11629)*(4/11)+s(11632)*(1/11)+s(11635) s(11645) =< s(11629)*(5/13)+s(11632)*(2/13)+s(11636) s(11644) =< s(11629)*(5/13)+s(11632)*(2/13)+s(11636) s(11643) =< s(11629)*(5/13)+s(11632)*(2/13)+s(11636) s(11642) =< s(11629)*(5/13)+s(11632)*(2/13)+s(11636) s(11637) =< s(11629)*(5/13)+s(11632)*(2/13)+s(11636) s(11649) =< s(11641)*s(11646) s(11650) =< s(11639)*s(11646) s(11651) =< s(11638)*s(11647) s(11652) =< s(11638)*s(11646) s(11653) =< s(11637)*s(11646) s(11654) =< s(11643)*s(11648) s(11655) =< s(11643)*s(11648) s(11656) =< s(11644)*s(11648) s(11657) =< s(11645)*s(11648) s(11658) =< s(11649) s(11659) =< s(11646) s(11660) =< s(11658)*s(11646) s(11661) =< s(11658)*s(11659) s(11662) =< s(11650) s(11663) =< s(11662)*s(11646) s(11664) =< s(11662)*s(11659) s(11665) =< s(11651) s(11666) =< s(11647) s(11667) =< s(11665)*s(11647) s(11668) =< s(11665)*s(11666) s(11669) =< s(11652) s(11670) =< s(11669)*s(11646) s(11671) =< s(11669)*s(11659) s(11672) =< s(11653) s(11673) =< s(11672)*s(11646) s(11674) =< s(11672)*s(11659) s(11675) =< s(11654) s(11676) =< s(11657) s(11677) =< s(11648) s(11678) =< s(11676)*s(11648) s(11679) =< s(11676)*s(11677) s(11680) =< s(11676)*s(11628) with precondition: [V>=2,V6>=3,V9>=1,Out>=0,V6+V9>=Out+2] * Chain [79]: 180*s(11914)+702*s(11915)+288*s(11916)+288*s(11917)+180*s(11918)+18*s(11919)+396*s(11920)+198*s(11921)+594*s(11922)+18*s(11932)+18*s(11933)+540*s(11935)+54*s(11937)+54*s(11938)+360*s(11939)+36*s(11940)+36*s(11941)+540*s(11942)+54*s(11944)+54*s(11945)+378*s(11946)+36*s(11947)+36*s(11948)+1116*s(11949)+108*s(11950)+108*s(11951)+36*s(11952)+792*s(11953)+72*s(11955)+54*s(11956)+18*s(11957)+60*s(11967)+234*s(11968)+96*s(11969)+96*s(11970)+60*s(11971)+6*s(11972)+132*s(11973)+66*s(11974)+198*s(11975)+6*s(11985)+6*s(11986)+180*s(11988)+18*s(11990)+18*s(11991)+120*s(11992)+12*s(11993)+12*s(11994)+180*s(11995)+18*s(11997)+18*s(11998)+126*s(11999)+12*s(12000)+12*s(12001)+372*s(12002)+36*s(12003)+36*s(12004)+12*s(12005)+264*s(12006)+24*s(12008)+18*s(12009)+6*s(12010)+187*s(12498)+18*s(12502)+18*s(12503)+11 Such that:aux(414) =< 1 aux(415) =< V aux(416) =< 2*V+1 aux(417) =< V/2 aux(418) =< 2/3*V aux(419) =< 2/3*V+1/3 aux(420) =< 3/5*V aux(421) =< 3/7*V aux(422) =< 3/11*V aux(423) =< 3/13*V aux(424) =< V9 aux(425) =< 2*V9+1 aux(426) =< V9/2 aux(427) =< 2/3*V9 aux(428) =< 2/3*V9+1/3 aux(429) =< 3/5*V9 aux(430) =< 3/7*V9 aux(431) =< 3/11*V9 aux(432) =< 3/13*V9 s(12498) =< aux(414) s(11909) =< aux(419) s(11962) =< aux(428) s(11914) =< aux(415) s(11915) =< aux(415) s(11916) =< aux(415) s(11917) =< aux(415) s(11918) =< aux(415) s(11909) =< aux(415) s(11909) =< aux(416) s(11916) =< aux(417) s(11917) =< aux(418) s(11919) =< aux(420) s(11920) =< aux(421) s(11921) =< aux(422) s(11922) =< aux(423) s(11923) =< aux(415)+2 s(11924) =< aux(415)+3 s(11925) =< aux(415) s(11917) =< aux(416)*(1/3)+aux(418) s(11918) =< aux(416)*(1/3)+aux(418) s(11916) =< aux(416)*(1/2)+aux(417) s(11917) =< aux(416)*(1/2)+aux(417) s(11918) =< aux(416)*(1/2)+aux(417) s(11919) =< aux(416)*(1/5)+aux(420) s(11914) =< aux(416)*(1/5)+aux(420) s(11920) =< aux(416)*(2/7)+aux(421) s(11919) =< aux(416)*(2/7)+aux(421) s(11914) =< aux(416)*(2/7)+aux(421) s(11921) =< aux(416)*(4/11)+s(11909)*(1/11)+aux(422) s(11920) =< aux(416)*(4/11)+s(11909)*(1/11)+aux(422) s(11919) =< aux(416)*(4/11)+s(11909)*(1/11)+aux(422) s(11914) =< aux(416)*(4/11)+s(11909)*(1/11)+aux(422) s(11922) =< aux(416)*(5/13)+s(11909)*(2/13)+aux(423) s(11921) =< aux(416)*(5/13)+s(11909)*(2/13)+aux(423) s(11920) =< aux(416)*(5/13)+s(11909)*(2/13)+aux(423) s(11919) =< aux(416)*(5/13)+s(11909)*(2/13)+aux(423) s(11914) =< aux(416)*(5/13)+s(11909)*(2/13)+aux(423) s(11926) =< s(11918)*s(11923) s(11927) =< s(11916)*s(11923) s(11928) =< s(11915)*s(11924) s(11929) =< s(11915)*s(11923) s(11930) =< s(11914)*s(11923) s(11931) =< s(11920)*s(11925) s(11932) =< s(11920)*s(11925) s(11933) =< s(11921)*s(11925) s(11934) =< s(11922)*s(11925) s(11935) =< s(11926) s(11936) =< s(11923) s(11937) =< s(11935)*s(11923) s(11938) =< s(11935)*s(11936) s(11939) =< s(11927) s(11940) =< s(11939)*s(11923) s(11941) =< s(11939)*s(11936) s(11942) =< s(11928) s(11943) =< s(11924) s(11944) =< s(11942)*s(11924) s(11945) =< s(11942)*s(11943) s(11946) =< s(11929) s(11947) =< s(11946)*s(11923) s(11948) =< s(11946)*s(11936) s(11949) =< s(11930) s(11950) =< s(11949)*s(11923) s(11951) =< s(11949)*s(11936) s(11952) =< s(11931) s(11953) =< s(11934) s(11954) =< s(11925) s(11955) =< s(11953)*s(11925) s(11956) =< s(11953)*s(11954) s(11957) =< s(11953)*aux(415) s(11967) =< aux(424) s(11968) =< aux(424) s(11969) =< aux(424) s(11970) =< aux(424) s(11971) =< aux(424) s(11962) =< aux(424) s(11962) =< aux(425) s(11969) =< aux(426) s(11970) =< aux(427) s(11972) =< aux(429) s(11973) =< aux(430) s(11974) =< aux(431) s(11975) =< aux(432) s(11976) =< aux(424)+2 s(11977) =< aux(424)+3 s(11978) =< aux(424) s(11970) =< aux(425)*(1/3)+aux(427) s(11971) =< aux(425)*(1/3)+aux(427) s(11969) =< aux(425)*(1/2)+aux(426) s(11970) =< aux(425)*(1/2)+aux(426) s(11971) =< aux(425)*(1/2)+aux(426) s(11972) =< aux(425)*(1/5)+aux(429) s(11967) =< aux(425)*(1/5)+aux(429) s(11973) =< aux(425)*(2/7)+aux(430) s(11972) =< aux(425)*(2/7)+aux(430) s(11967) =< aux(425)*(2/7)+aux(430) s(11974) =< aux(425)*(4/11)+s(11962)*(1/11)+aux(431) s(11973) =< aux(425)*(4/11)+s(11962)*(1/11)+aux(431) s(11972) =< aux(425)*(4/11)+s(11962)*(1/11)+aux(431) s(11967) =< aux(425)*(4/11)+s(11962)*(1/11)+aux(431) s(11975) =< aux(425)*(5/13)+s(11962)*(2/13)+aux(432) s(11974) =< aux(425)*(5/13)+s(11962)*(2/13)+aux(432) s(11973) =< aux(425)*(5/13)+s(11962)*(2/13)+aux(432) s(11972) =< aux(425)*(5/13)+s(11962)*(2/13)+aux(432) s(11967) =< aux(425)*(5/13)+s(11962)*(2/13)+aux(432) s(11979) =< s(11971)*s(11976) s(11980) =< s(11969)*s(11976) s(11981) =< s(11968)*s(11977) s(11982) =< s(11968)*s(11976) s(11983) =< s(11967)*s(11976) s(11984) =< s(11973)*s(11978) s(11985) =< s(11973)*s(11978) s(11986) =< s(11974)*s(11978) s(11987) =< s(11975)*s(11978) s(11988) =< s(11979) s(11989) =< s(11976) s(11990) =< s(11988)*s(11976) s(11991) =< s(11988)*s(11989) s(11992) =< s(11980) s(11993) =< s(11992)*s(11976) s(11994) =< s(11992)*s(11989) s(11995) =< s(11981) s(11996) =< s(11977) s(11997) =< s(11995)*s(11977) s(11998) =< s(11995)*s(11996) s(11999) =< s(11982) s(12000) =< s(11999)*s(11976) s(12001) =< s(11999)*s(11989) s(12002) =< s(11983) s(12003) =< s(12002)*s(11976) s(12004) =< s(12002)*s(11989) s(12005) =< s(11984) s(12006) =< s(11987) s(12007) =< s(11978) s(12008) =< s(12006)*s(11978) s(12009) =< s(12006)*s(12007) s(12010) =< s(12006)*aux(424) s(12501) =< aux(414) s(12502) =< s(12498)*aux(414) s(12503) =< s(12498)*s(12501) with precondition: [V6=2,Out=0,V>=0,V9>=0] * Chain [78]: 60*s(13253)+234*s(13254)+96*s(13255)+96*s(13256)+60*s(13257)+6*s(13258)+132*s(13259)+66*s(13260)+198*s(13261)+6*s(13271)+6*s(13272)+180*s(13274)+18*s(13276)+18*s(13277)+120*s(13278)+12*s(13279)+12*s(13280)+180*s(13281)+18*s(13283)+18*s(13284)+126*s(13285)+12*s(13286)+12*s(13287)+372*s(13288)+36*s(13289)+36*s(13290)+12*s(13291)+264*s(13292)+24*s(13294)+18*s(13295)+6*s(13296)+30*s(13306)+117*s(13307)+48*s(13308)+48*s(13309)+30*s(13310)+3*s(13311)+66*s(13312)+33*s(13313)+99*s(13314)+3*s(13324)+3*s(13325)+90*s(13327)+9*s(13329)+9*s(13330)+60*s(13331)+6*s(13332)+6*s(13333)+90*s(13334)+9*s(13336)+9*s(13337)+63*s(13338)+6*s(13339)+6*s(13340)+186*s(13341)+18*s(13342)+18*s(13343)+6*s(13344)+132*s(13345)+12*s(13347)+9*s(13348)+3*s(13349)+2*s(13456)+11 Such that:aux(433) =< 1 aux(434) =< V aux(435) =< 2*V+1 aux(436) =< V/2 aux(437) =< 2/3*V aux(438) =< 2/3*V+1/3 aux(439) =< 3/5*V aux(440) =< 3/7*V aux(441) =< 3/11*V aux(442) =< 3/13*V aux(443) =< V9 aux(444) =< 2*V9+1 aux(445) =< V9/2 aux(446) =< 2/3*V9 aux(447) =< 2/3*V9+1/3 aux(448) =< 3/5*V9 aux(449) =< 3/7*V9 aux(450) =< 3/11*V9 aux(451) =< 3/13*V9 s(13456) =< aux(433) s(13248) =< aux(438) s(13301) =< aux(447) s(13306) =< aux(443) s(13307) =< aux(443) s(13308) =< aux(443) s(13309) =< aux(443) s(13310) =< aux(443) s(13301) =< aux(443) s(13301) =< aux(444) s(13308) =< aux(445) s(13309) =< aux(446) s(13311) =< aux(448) s(13312) =< aux(449) s(13313) =< aux(450) s(13314) =< aux(451) s(13315) =< aux(443)+2 s(13316) =< aux(443)+3 s(13317) =< aux(443) s(13309) =< aux(444)*(1/3)+aux(446) s(13310) =< aux(444)*(1/3)+aux(446) s(13308) =< aux(444)*(1/2)+aux(445) s(13309) =< aux(444)*(1/2)+aux(445) s(13310) =< aux(444)*(1/2)+aux(445) s(13311) =< aux(444)*(1/5)+aux(448) s(13306) =< aux(444)*(1/5)+aux(448) s(13312) =< aux(444)*(2/7)+aux(449) s(13311) =< aux(444)*(2/7)+aux(449) s(13306) =< aux(444)*(2/7)+aux(449) s(13313) =< aux(444)*(4/11)+s(13301)*(1/11)+aux(450) s(13312) =< aux(444)*(4/11)+s(13301)*(1/11)+aux(450) s(13311) =< aux(444)*(4/11)+s(13301)*(1/11)+aux(450) s(13306) =< aux(444)*(4/11)+s(13301)*(1/11)+aux(450) s(13314) =< aux(444)*(5/13)+s(13301)*(2/13)+aux(451) s(13313) =< aux(444)*(5/13)+s(13301)*(2/13)+aux(451) s(13312) =< aux(444)*(5/13)+s(13301)*(2/13)+aux(451) s(13311) =< aux(444)*(5/13)+s(13301)*(2/13)+aux(451) s(13306) =< aux(444)*(5/13)+s(13301)*(2/13)+aux(451) s(13318) =< s(13310)*s(13315) s(13319) =< s(13308)*s(13315) s(13320) =< s(13307)*s(13316) s(13321) =< s(13307)*s(13315) s(13322) =< s(13306)*s(13315) s(13323) =< s(13312)*s(13317) s(13324) =< s(13312)*s(13317) s(13325) =< s(13313)*s(13317) s(13326) =< s(13314)*s(13317) s(13327) =< s(13318) s(13328) =< s(13315) s(13329) =< s(13327)*s(13315) s(13330) =< s(13327)*s(13328) s(13331) =< s(13319) s(13332) =< s(13331)*s(13315) s(13333) =< s(13331)*s(13328) s(13334) =< s(13320) s(13335) =< s(13316) s(13336) =< s(13334)*s(13316) s(13337) =< s(13334)*s(13335) s(13338) =< s(13321) s(13339) =< s(13338)*s(13315) s(13340) =< s(13338)*s(13328) s(13341) =< s(13322) s(13342) =< s(13341)*s(13315) s(13343) =< s(13341)*s(13328) s(13344) =< s(13323) s(13345) =< s(13326) s(13346) =< s(13317) s(13347) =< s(13345)*s(13317) s(13348) =< s(13345)*s(13346) s(13349) =< s(13345)*aux(443) s(13253) =< aux(434) s(13254) =< aux(434) s(13255) =< aux(434) s(13256) =< aux(434) s(13257) =< aux(434) s(13248) =< aux(434) s(13248) =< aux(435) s(13255) =< aux(436) s(13256) =< aux(437) s(13258) =< aux(439) s(13259) =< aux(440) s(13260) =< aux(441) s(13261) =< aux(442) s(13262) =< aux(434)+2 s(13263) =< aux(434)+3 s(13264) =< aux(434) s(13256) =< aux(435)*(1/3)+aux(437) s(13257) =< aux(435)*(1/3)+aux(437) s(13255) =< aux(435)*(1/2)+aux(436) s(13256) =< aux(435)*(1/2)+aux(436) s(13257) =< aux(435)*(1/2)+aux(436) s(13258) =< aux(435)*(1/5)+aux(439) s(13253) =< aux(435)*(1/5)+aux(439) s(13259) =< aux(435)*(2/7)+aux(440) s(13258) =< aux(435)*(2/7)+aux(440) s(13253) =< aux(435)*(2/7)+aux(440) s(13260) =< aux(435)*(4/11)+s(13248)*(1/11)+aux(441) s(13259) =< aux(435)*(4/11)+s(13248)*(1/11)+aux(441) s(13258) =< aux(435)*(4/11)+s(13248)*(1/11)+aux(441) s(13253) =< aux(435)*(4/11)+s(13248)*(1/11)+aux(441) s(13261) =< aux(435)*(5/13)+s(13248)*(2/13)+aux(442) s(13260) =< aux(435)*(5/13)+s(13248)*(2/13)+aux(442) s(13259) =< aux(435)*(5/13)+s(13248)*(2/13)+aux(442) s(13258) =< aux(435)*(5/13)+s(13248)*(2/13)+aux(442) s(13253) =< aux(435)*(5/13)+s(13248)*(2/13)+aux(442) s(13265) =< s(13257)*s(13262) s(13266) =< s(13255)*s(13262) s(13267) =< s(13254)*s(13263) s(13268) =< s(13254)*s(13262) s(13269) =< s(13253)*s(13262) s(13270) =< s(13259)*s(13264) s(13271) =< s(13259)*s(13264) s(13272) =< s(13260)*s(13264) s(13273) =< s(13261)*s(13264) s(13274) =< s(13265) s(13275) =< s(13262) s(13276) =< s(13274)*s(13262) s(13277) =< s(13274)*s(13275) s(13278) =< s(13266) s(13279) =< s(13278)*s(13262) s(13280) =< s(13278)*s(13275) s(13281) =< s(13267) s(13282) =< s(13263) s(13283) =< s(13281)*s(13263) s(13284) =< s(13281)*s(13282) s(13285) =< s(13268) s(13286) =< s(13285)*s(13262) s(13287) =< s(13285)*s(13275) s(13288) =< s(13269) s(13289) =< s(13288)*s(13262) s(13290) =< s(13288)*s(13275) s(13291) =< s(13270) s(13292) =< s(13273) s(13293) =< s(13264) s(13294) =< s(13292)*s(13264) s(13295) =< s(13292)*s(13293) s(13296) =< s(13292)*aux(434) with precondition: [V6=2,V>=1,V9>=1,Out>=0,V9>=Out] * Chain [77]: 60*s(13732)+234*s(13733)+96*s(13734)+96*s(13735)+60*s(13736)+6*s(13737)+132*s(13738)+66*s(13739)+198*s(13740)+6*s(13750)+6*s(13751)+180*s(13753)+18*s(13755)+18*s(13756)+120*s(13757)+12*s(13758)+12*s(13759)+180*s(13760)+18*s(13762)+18*s(13763)+126*s(13764)+12*s(13765)+12*s(13766)+372*s(13767)+36*s(13768)+36*s(13769)+12*s(13770)+264*s(13771)+24*s(13773)+18*s(13774)+6*s(13775)+30*s(13785)+117*s(13786)+48*s(13787)+48*s(13788)+30*s(13789)+3*s(13790)+66*s(13791)+33*s(13792)+99*s(13793)+3*s(13803)+3*s(13804)+90*s(13806)+9*s(13808)+9*s(13809)+60*s(13810)+6*s(13811)+6*s(13812)+90*s(13813)+9*s(13815)+9*s(13816)+63*s(13817)+6*s(13818)+6*s(13819)+186*s(13820)+18*s(13821)+18*s(13822)+6*s(13823)+132*s(13824)+12*s(13826)+9*s(13827)+3*s(13828)+4*s(13935)+11 Such that:aux(452) =< 1 aux(453) =< V aux(454) =< 2*V+1 aux(455) =< V/2 aux(456) =< 2/3*V aux(457) =< 2/3*V+1/3 aux(458) =< 3/5*V aux(459) =< 3/7*V aux(460) =< 3/11*V aux(461) =< 3/13*V aux(462) =< V9 aux(463) =< 2*V9+1 aux(464) =< V9/2 aux(465) =< 2/3*V9 aux(466) =< 2/3*V9+1/3 aux(467) =< 3/5*V9 aux(468) =< 3/7*V9 aux(469) =< 3/11*V9 aux(470) =< 3/13*V9 s(13935) =< aux(452) s(13727) =< aux(457) s(13780) =< aux(466) s(13785) =< aux(462) s(13786) =< aux(462) s(13787) =< aux(462) s(13788) =< aux(462) s(13789) =< aux(462) s(13780) =< aux(462) s(13780) =< aux(463) s(13787) =< aux(464) s(13788) =< aux(465) s(13790) =< aux(467) s(13791) =< aux(468) s(13792) =< aux(469) s(13793) =< aux(470) s(13794) =< aux(462)+2 s(13795) =< aux(462)+3 s(13796) =< aux(462) s(13788) =< aux(463)*(1/3)+aux(465) s(13789) =< aux(463)*(1/3)+aux(465) s(13787) =< aux(463)*(1/2)+aux(464) s(13788) =< aux(463)*(1/2)+aux(464) s(13789) =< aux(463)*(1/2)+aux(464) s(13790) =< aux(463)*(1/5)+aux(467) s(13785) =< aux(463)*(1/5)+aux(467) s(13791) =< aux(463)*(2/7)+aux(468) s(13790) =< aux(463)*(2/7)+aux(468) s(13785) =< aux(463)*(2/7)+aux(468) s(13792) =< aux(463)*(4/11)+s(13780)*(1/11)+aux(469) s(13791) =< aux(463)*(4/11)+s(13780)*(1/11)+aux(469) s(13790) =< aux(463)*(4/11)+s(13780)*(1/11)+aux(469) s(13785) =< aux(463)*(4/11)+s(13780)*(1/11)+aux(469) s(13793) =< aux(463)*(5/13)+s(13780)*(2/13)+aux(470) s(13792) =< aux(463)*(5/13)+s(13780)*(2/13)+aux(470) s(13791) =< aux(463)*(5/13)+s(13780)*(2/13)+aux(470) s(13790) =< aux(463)*(5/13)+s(13780)*(2/13)+aux(470) s(13785) =< aux(463)*(5/13)+s(13780)*(2/13)+aux(470) s(13797) =< s(13789)*s(13794) s(13798) =< s(13787)*s(13794) s(13799) =< s(13786)*s(13795) s(13800) =< s(13786)*s(13794) s(13801) =< s(13785)*s(13794) s(13802) =< s(13791)*s(13796) s(13803) =< s(13791)*s(13796) s(13804) =< s(13792)*s(13796) s(13805) =< s(13793)*s(13796) s(13806) =< s(13797) s(13807) =< s(13794) s(13808) =< s(13806)*s(13794) s(13809) =< s(13806)*s(13807) s(13810) =< s(13798) s(13811) =< s(13810)*s(13794) s(13812) =< s(13810)*s(13807) s(13813) =< s(13799) s(13814) =< s(13795) s(13815) =< s(13813)*s(13795) s(13816) =< s(13813)*s(13814) s(13817) =< s(13800) s(13818) =< s(13817)*s(13794) s(13819) =< s(13817)*s(13807) s(13820) =< s(13801) s(13821) =< s(13820)*s(13794) s(13822) =< s(13820)*s(13807) s(13823) =< s(13802) s(13824) =< s(13805) s(13825) =< s(13796) s(13826) =< s(13824)*s(13796) s(13827) =< s(13824)*s(13825) s(13828) =< s(13824)*aux(462) s(13732) =< aux(453) s(13733) =< aux(453) s(13734) =< aux(453) s(13735) =< aux(453) s(13736) =< aux(453) s(13727) =< aux(453) s(13727) =< aux(454) s(13734) =< aux(455) s(13735) =< aux(456) s(13737) =< aux(458) s(13738) =< aux(459) s(13739) =< aux(460) s(13740) =< aux(461) s(13741) =< aux(453)+2 s(13742) =< aux(453)+3 s(13743) =< aux(453) s(13735) =< aux(454)*(1/3)+aux(456) s(13736) =< aux(454)*(1/3)+aux(456) s(13734) =< aux(454)*(1/2)+aux(455) s(13735) =< aux(454)*(1/2)+aux(455) s(13736) =< aux(454)*(1/2)+aux(455) s(13737) =< aux(454)*(1/5)+aux(458) s(13732) =< aux(454)*(1/5)+aux(458) s(13738) =< aux(454)*(2/7)+aux(459) s(13737) =< aux(454)*(2/7)+aux(459) s(13732) =< aux(454)*(2/7)+aux(459) s(13739) =< aux(454)*(4/11)+s(13727)*(1/11)+aux(460) s(13738) =< aux(454)*(4/11)+s(13727)*(1/11)+aux(460) s(13737) =< aux(454)*(4/11)+s(13727)*(1/11)+aux(460) s(13732) =< aux(454)*(4/11)+s(13727)*(1/11)+aux(460) s(13740) =< aux(454)*(5/13)+s(13727)*(2/13)+aux(461) s(13739) =< aux(454)*(5/13)+s(13727)*(2/13)+aux(461) s(13738) =< aux(454)*(5/13)+s(13727)*(2/13)+aux(461) s(13737) =< aux(454)*(5/13)+s(13727)*(2/13)+aux(461) s(13732) =< aux(454)*(5/13)+s(13727)*(2/13)+aux(461) s(13744) =< s(13736)*s(13741) s(13745) =< s(13734)*s(13741) s(13746) =< s(13733)*s(13742) s(13747) =< s(13733)*s(13741) s(13748) =< s(13732)*s(13741) s(13749) =< s(13738)*s(13743) s(13750) =< s(13738)*s(13743) s(13751) =< s(13739)*s(13743) s(13752) =< s(13740)*s(13743) s(13753) =< s(13744) s(13754) =< s(13741) s(13755) =< s(13753)*s(13741) s(13756) =< s(13753)*s(13754) s(13757) =< s(13745) s(13758) =< s(13757)*s(13741) s(13759) =< s(13757)*s(13754) s(13760) =< s(13746) s(13761) =< s(13742) s(13762) =< s(13760)*s(13742) s(13763) =< s(13760)*s(13761) s(13764) =< s(13747) s(13765) =< s(13764)*s(13741) s(13766) =< s(13764)*s(13754) s(13767) =< s(13748) s(13768) =< s(13767)*s(13741) s(13769) =< s(13767)*s(13754) s(13770) =< s(13749) s(13771) =< s(13752) s(13772) =< s(13743) s(13773) =< s(13771)*s(13743) s(13774) =< s(13771)*s(13772) s(13775) =< s(13771)*aux(453) with precondition: [V6=2,V>=2,V9>=1,Out>=1,V9+1>=Out] * Chain [76]: 20*s(14213)+78*s(14214)+32*s(14215)+32*s(14216)+20*s(14217)+2*s(14218)+44*s(14219)+22*s(14220)+66*s(14221)+2*s(14231)+2*s(14232)+60*s(14234)+6*s(14236)+6*s(14237)+40*s(14238)+4*s(14239)+4*s(14240)+60*s(14241)+6*s(14243)+6*s(14244)+42*s(14245)+4*s(14246)+4*s(14247)+124*s(14248)+12*s(14249)+12*s(14250)+4*s(14251)+88*s(14252)+8*s(14254)+6*s(14255)+2*s(14256)+10*s(14266)+39*s(14267)+16*s(14268)+16*s(14269)+10*s(14270)+1*s(14271)+22*s(14272)+11*s(14273)+33*s(14274)+1*s(14284)+1*s(14285)+30*s(14287)+3*s(14289)+3*s(14290)+20*s(14291)+2*s(14292)+2*s(14293)+30*s(14294)+3*s(14296)+3*s(14297)+21*s(14298)+2*s(14299)+2*s(14300)+62*s(14301)+6*s(14302)+6*s(14303)+2*s(14304)+44*s(14305)+4*s(14307)+3*s(14308)+1*s(14309)+2*s(14310)+11 Such that:s(14257) =< V9 s(14258) =< 2*V9+1 s(14259) =< V9/2 s(14260) =< 2/3*V9 s(14261) =< 2/3*V9+1/3 s(14262) =< 3/5*V9 s(14263) =< 3/7*V9 s(14264) =< 3/11*V9 s(14265) =< 3/13*V9 aux(471) =< 1 aux(472) =< V aux(473) =< 2*V+1 aux(474) =< V/2 aux(475) =< 2/3*V aux(476) =< 2/3*V+1/3 aux(477) =< 3/5*V aux(478) =< 3/7*V aux(479) =< 3/11*V aux(480) =< 3/13*V s(14310) =< aux(471) s(14208) =< aux(476) s(14266) =< s(14257) s(14267) =< s(14257) s(14268) =< s(14257) s(14269) =< s(14257) s(14270) =< s(14257) s(14261) =< s(14257) s(14261) =< s(14258) s(14268) =< s(14259) s(14269) =< s(14260) s(14271) =< s(14262) s(14272) =< s(14263) s(14273) =< s(14264) s(14274) =< s(14265) s(14275) =< s(14257)+2 s(14276) =< s(14257)+3 s(14277) =< s(14257) s(14269) =< s(14258)*(1/3)+s(14260) s(14270) =< s(14258)*(1/3)+s(14260) s(14268) =< s(14258)*(1/2)+s(14259) s(14269) =< s(14258)*(1/2)+s(14259) s(14270) =< s(14258)*(1/2)+s(14259) s(14271) =< s(14258)*(1/5)+s(14262) s(14266) =< s(14258)*(1/5)+s(14262) s(14272) =< s(14258)*(2/7)+s(14263) s(14271) =< s(14258)*(2/7)+s(14263) s(14266) =< s(14258)*(2/7)+s(14263) s(14273) =< s(14258)*(4/11)+s(14261)*(1/11)+s(14264) s(14272) =< s(14258)*(4/11)+s(14261)*(1/11)+s(14264) s(14271) =< s(14258)*(4/11)+s(14261)*(1/11)+s(14264) s(14266) =< s(14258)*(4/11)+s(14261)*(1/11)+s(14264) s(14274) =< s(14258)*(5/13)+s(14261)*(2/13)+s(14265) s(14273) =< s(14258)*(5/13)+s(14261)*(2/13)+s(14265) s(14272) =< s(14258)*(5/13)+s(14261)*(2/13)+s(14265) s(14271) =< s(14258)*(5/13)+s(14261)*(2/13)+s(14265) s(14266) =< s(14258)*(5/13)+s(14261)*(2/13)+s(14265) s(14278) =< s(14270)*s(14275) s(14279) =< s(14268)*s(14275) s(14280) =< s(14267)*s(14276) s(14281) =< s(14267)*s(14275) s(14282) =< s(14266)*s(14275) s(14283) =< s(14272)*s(14277) s(14284) =< s(14272)*s(14277) s(14285) =< s(14273)*s(14277) s(14286) =< s(14274)*s(14277) s(14287) =< s(14278) s(14288) =< s(14275) s(14289) =< s(14287)*s(14275) s(14290) =< s(14287)*s(14288) s(14291) =< s(14279) s(14292) =< s(14291)*s(14275) s(14293) =< s(14291)*s(14288) s(14294) =< s(14280) s(14295) =< s(14276) s(14296) =< s(14294)*s(14276) s(14297) =< s(14294)*s(14295) s(14298) =< s(14281) s(14299) =< s(14298)*s(14275) s(14300) =< s(14298)*s(14288) s(14301) =< s(14282) s(14302) =< s(14301)*s(14275) s(14303) =< s(14301)*s(14288) s(14304) =< s(14283) s(14305) =< s(14286) s(14306) =< s(14277) s(14307) =< s(14305)*s(14277) s(14308) =< s(14305)*s(14306) s(14309) =< s(14305)*s(14257) s(14213) =< aux(472) s(14214) =< aux(472) s(14215) =< aux(472) s(14216) =< aux(472) s(14217) =< aux(472) s(14208) =< aux(472) s(14208) =< aux(473) s(14215) =< aux(474) s(14216) =< aux(475) s(14218) =< aux(477) s(14219) =< aux(478) s(14220) =< aux(479) s(14221) =< aux(480) s(14222) =< aux(472)+2 s(14223) =< aux(472)+3 s(14224) =< aux(472) s(14216) =< aux(473)*(1/3)+aux(475) s(14217) =< aux(473)*(1/3)+aux(475) s(14215) =< aux(473)*(1/2)+aux(474) s(14216) =< aux(473)*(1/2)+aux(474) s(14217) =< aux(473)*(1/2)+aux(474) s(14218) =< aux(473)*(1/5)+aux(477) s(14213) =< aux(473)*(1/5)+aux(477) s(14219) =< aux(473)*(2/7)+aux(478) s(14218) =< aux(473)*(2/7)+aux(478) s(14213) =< aux(473)*(2/7)+aux(478) s(14220) =< aux(473)*(4/11)+s(14208)*(1/11)+aux(479) s(14219) =< aux(473)*(4/11)+s(14208)*(1/11)+aux(479) s(14218) =< aux(473)*(4/11)+s(14208)*(1/11)+aux(479) s(14213) =< aux(473)*(4/11)+s(14208)*(1/11)+aux(479) s(14221) =< aux(473)*(5/13)+s(14208)*(2/13)+aux(480) s(14220) =< aux(473)*(5/13)+s(14208)*(2/13)+aux(480) s(14219) =< aux(473)*(5/13)+s(14208)*(2/13)+aux(480) s(14218) =< aux(473)*(5/13)+s(14208)*(2/13)+aux(480) s(14213) =< aux(473)*(5/13)+s(14208)*(2/13)+aux(480) s(14225) =< s(14217)*s(14222) s(14226) =< s(14215)*s(14222) s(14227) =< s(14214)*s(14223) s(14228) =< s(14214)*s(14222) s(14229) =< s(14213)*s(14222) s(14230) =< s(14219)*s(14224) s(14231) =< s(14219)*s(14224) s(14232) =< s(14220)*s(14224) s(14233) =< s(14221)*s(14224) s(14234) =< s(14225) s(14235) =< s(14222) s(14236) =< s(14234)*s(14222) s(14237) =< s(14234)*s(14235) s(14238) =< s(14226) s(14239) =< s(14238)*s(14222) s(14240) =< s(14238)*s(14235) s(14241) =< s(14227) s(14242) =< s(14223) s(14243) =< s(14241)*s(14223) s(14244) =< s(14241)*s(14242) s(14245) =< s(14228) s(14246) =< s(14245)*s(14222) s(14247) =< s(14245)*s(14235) s(14248) =< s(14229) s(14249) =< s(14248)*s(14222) s(14250) =< s(14248)*s(14235) s(14251) =< s(14230) s(14252) =< s(14233) s(14253) =< s(14224) s(14254) =< s(14252)*s(14224) s(14255) =< s(14252)*s(14253) s(14256) =< s(14252)*aux(472) with precondition: [V6=2,V>=2,V9>=1,Out>=2,V9+2>=Out] * Chain [75]: 30*s(14374)+117*s(14375)+48*s(14376)+48*s(14377)+30*s(14378)+3*s(14379)+66*s(14380)+33*s(14381)+99*s(14382)+3*s(14392)+3*s(14393)+90*s(14395)+9*s(14397)+9*s(14398)+60*s(14399)+6*s(14400)+6*s(14401)+90*s(14402)+9*s(14404)+9*s(14405)+63*s(14406)+6*s(14407)+6*s(14408)+186*s(14409)+18*s(14410)+18*s(14411)+6*s(14412)+132*s(14413)+12*s(14415)+9*s(14416)+3*s(14417)+2*s(14471)+11 Such that:aux(481) =< 1 aux(482) =< V aux(483) =< 2*V+1 aux(484) =< V/2 aux(485) =< 2/3*V aux(486) =< 2/3*V+1/3 aux(487) =< 3/5*V aux(488) =< 3/7*V aux(489) =< 3/11*V aux(490) =< 3/13*V s(14471) =< aux(481) s(14369) =< aux(486) s(14374) =< aux(482) s(14375) =< aux(482) s(14376) =< aux(482) s(14377) =< aux(482) s(14378) =< aux(482) s(14369) =< aux(482) s(14369) =< aux(483) s(14376) =< aux(484) s(14377) =< aux(485) s(14379) =< aux(487) s(14380) =< aux(488) s(14381) =< aux(489) s(14382) =< aux(490) s(14383) =< aux(482)+2 s(14384) =< aux(482)+3 s(14385) =< aux(482) s(14377) =< aux(483)*(1/3)+aux(485) s(14378) =< aux(483)*(1/3)+aux(485) s(14376) =< aux(483)*(1/2)+aux(484) s(14377) =< aux(483)*(1/2)+aux(484) s(14378) =< aux(483)*(1/2)+aux(484) s(14379) =< aux(483)*(1/5)+aux(487) s(14374) =< aux(483)*(1/5)+aux(487) s(14380) =< aux(483)*(2/7)+aux(488) s(14379) =< aux(483)*(2/7)+aux(488) s(14374) =< aux(483)*(2/7)+aux(488) s(14381) =< aux(483)*(4/11)+s(14369)*(1/11)+aux(489) s(14380) =< aux(483)*(4/11)+s(14369)*(1/11)+aux(489) s(14379) =< aux(483)*(4/11)+s(14369)*(1/11)+aux(489) s(14374) =< aux(483)*(4/11)+s(14369)*(1/11)+aux(489) s(14382) =< aux(483)*(5/13)+s(14369)*(2/13)+aux(490) s(14381) =< aux(483)*(5/13)+s(14369)*(2/13)+aux(490) s(14380) =< aux(483)*(5/13)+s(14369)*(2/13)+aux(490) s(14379) =< aux(483)*(5/13)+s(14369)*(2/13)+aux(490) s(14374) =< aux(483)*(5/13)+s(14369)*(2/13)+aux(490) s(14386) =< s(14378)*s(14383) s(14387) =< s(14376)*s(14383) s(14388) =< s(14375)*s(14384) s(14389) =< s(14375)*s(14383) s(14390) =< s(14374)*s(14383) s(14391) =< s(14380)*s(14385) s(14392) =< s(14380)*s(14385) s(14393) =< s(14381)*s(14385) s(14394) =< s(14382)*s(14385) s(14395) =< s(14386) s(14396) =< s(14383) s(14397) =< s(14395)*s(14383) s(14398) =< s(14395)*s(14396) s(14399) =< s(14387) s(14400) =< s(14399)*s(14383) s(14401) =< s(14399)*s(14396) s(14402) =< s(14388) s(14403) =< s(14384) s(14404) =< s(14402)*s(14384) s(14405) =< s(14402)*s(14403) s(14406) =< s(14389) s(14407) =< s(14406)*s(14383) s(14408) =< s(14406)*s(14396) s(14409) =< s(14390) s(14410) =< s(14409)*s(14383) s(14411) =< s(14409)*s(14396) s(14412) =< s(14391) s(14413) =< s(14394) s(14414) =< s(14385) s(14415) =< s(14413)*s(14385) s(14416) =< s(14413)*s(14414) s(14417) =< s(14413)*aux(482) with precondition: [V6=2,Out=1,V>=2,V9>=0] * Chain [74]: 10*s(14535)+39*s(14536)+16*s(14537)+16*s(14538)+10*s(14539)+1*s(14540)+22*s(14541)+11*s(14542)+33*s(14543)+1*s(14553)+1*s(14554)+30*s(14556)+3*s(14558)+3*s(14559)+20*s(14560)+2*s(14561)+2*s(14562)+30*s(14563)+3*s(14565)+3*s(14566)+21*s(14567)+2*s(14568)+2*s(14569)+62*s(14570)+6*s(14571)+6*s(14572)+2*s(14573)+44*s(14574)+4*s(14576)+3*s(14577)+1*s(14578)+1*s(14579)+11 Such that:s(14579) =< 1 s(14526) =< V s(14527) =< 2*V+1 s(14528) =< V/2 s(14529) =< 2/3*V s(14530) =< 2/3*V+1/3 s(14531) =< 3/5*V s(14532) =< 3/7*V s(14533) =< 3/11*V s(14534) =< 3/13*V s(14535) =< s(14526) s(14536) =< s(14526) s(14537) =< s(14526) s(14538) =< s(14526) s(14539) =< s(14526) s(14530) =< s(14526) s(14530) =< s(14527) s(14537) =< s(14528) s(14538) =< s(14529) s(14540) =< s(14531) s(14541) =< s(14532) s(14542) =< s(14533) s(14543) =< s(14534) s(14544) =< s(14526)+2 s(14545) =< s(14526)+3 s(14546) =< s(14526) s(14538) =< s(14527)*(1/3)+s(14529) s(14539) =< s(14527)*(1/3)+s(14529) s(14537) =< s(14527)*(1/2)+s(14528) s(14538) =< s(14527)*(1/2)+s(14528) s(14539) =< s(14527)*(1/2)+s(14528) s(14540) =< s(14527)*(1/5)+s(14531) s(14535) =< s(14527)*(1/5)+s(14531) s(14541) =< s(14527)*(2/7)+s(14532) s(14540) =< s(14527)*(2/7)+s(14532) s(14535) =< s(14527)*(2/7)+s(14532) s(14542) =< s(14527)*(4/11)+s(14530)*(1/11)+s(14533) s(14541) =< s(14527)*(4/11)+s(14530)*(1/11)+s(14533) s(14540) =< s(14527)*(4/11)+s(14530)*(1/11)+s(14533) s(14535) =< s(14527)*(4/11)+s(14530)*(1/11)+s(14533) s(14543) =< s(14527)*(5/13)+s(14530)*(2/13)+s(14534) s(14542) =< s(14527)*(5/13)+s(14530)*(2/13)+s(14534) s(14541) =< s(14527)*(5/13)+s(14530)*(2/13)+s(14534) s(14540) =< s(14527)*(5/13)+s(14530)*(2/13)+s(14534) s(14535) =< s(14527)*(5/13)+s(14530)*(2/13)+s(14534) s(14547) =< s(14539)*s(14544) s(14548) =< s(14537)*s(14544) s(14549) =< s(14536)*s(14545) s(14550) =< s(14536)*s(14544) s(14551) =< s(14535)*s(14544) s(14552) =< s(14541)*s(14546) s(14553) =< s(14541)*s(14546) s(14554) =< s(14542)*s(14546) s(14555) =< s(14543)*s(14546) s(14556) =< s(14547) s(14557) =< s(14544) s(14558) =< s(14556)*s(14544) s(14559) =< s(14556)*s(14557) s(14560) =< s(14548) s(14561) =< s(14560)*s(14544) s(14562) =< s(14560)*s(14557) s(14563) =< s(14549) s(14564) =< s(14545) s(14565) =< s(14563)*s(14545) s(14566) =< s(14563)*s(14564) s(14567) =< s(14550) s(14568) =< s(14567)*s(14544) s(14569) =< s(14567)*s(14557) s(14570) =< s(14551) s(14571) =< s(14570)*s(14544) s(14572) =< s(14570)*s(14557) s(14573) =< s(14552) s(14574) =< s(14555) s(14575) =< s(14546) s(14576) =< s(14574)*s(14546) s(14577) =< s(14574)*s(14575) s(14578) =< s(14574)*s(14526) with precondition: [V6=2,Out=2,V>=2,V9>=0] * Chain [73]: 10*s(14589)+39*s(14590)+16*s(14591)+16*s(14592)+10*s(14593)+1*s(14594)+22*s(14595)+11*s(14596)+33*s(14597)+1*s(14607)+1*s(14608)+30*s(14610)+3*s(14612)+3*s(14613)+20*s(14614)+2*s(14615)+2*s(14616)+30*s(14617)+3*s(14619)+3*s(14620)+21*s(14621)+2*s(14622)+2*s(14623)+62*s(14624)+6*s(14625)+6*s(14626)+2*s(14627)+44*s(14628)+4*s(14630)+3*s(14631)+1*s(14632)+10*s(14642)+50*s(14643)+16*s(14644)+16*s(14645)+10*s(14646)+1*s(14647)+22*s(14648)+11*s(14649)+33*s(14650)+1*s(14660)+1*s(14661)+30*s(14663)+3*s(14665)+3*s(14666)+20*s(14667)+2*s(14668)+2*s(14669)+30*s(14670)+3*s(14672)+3*s(14673)+21*s(14674)+2*s(14675)+2*s(14676)+62*s(14677)+6*s(14678)+6*s(14679)+2*s(14680)+44*s(14681)+4*s(14683)+3*s(14684)+1*s(14685)+1*s(14690)+1*s(14691)+11 Such that:s(14580) =< V s(14581) =< 2*V+1 s(14582) =< V/2 s(14583) =< 2/3*V s(14584) =< 2/3*V+1/3 s(14585) =< 3/5*V s(14586) =< 3/7*V s(14587) =< 3/11*V s(14588) =< 3/13*V s(14634) =< 2*V6+1 s(14635) =< V6/2 s(14636) =< 2/3*V6 s(14637) =< 2/3*V6+1/3 s(14638) =< 3/5*V6 s(14639) =< 3/7*V6 s(14640) =< 3/11*V6 s(14641) =< 3/13*V6 aux(491) =< V6 s(14643) =< aux(491) s(14653) =< aux(491) s(14690) =< s(14643)*aux(491) s(14691) =< s(14643)*s(14653) s(14642) =< aux(491) s(14644) =< aux(491) s(14645) =< aux(491) s(14646) =< aux(491) s(14637) =< aux(491) s(14637) =< s(14634) s(14644) =< s(14635) s(14645) =< s(14636) s(14647) =< s(14638) s(14648) =< s(14639) s(14649) =< s(14640) s(14650) =< s(14641) s(14651) =< aux(491)+2 s(14652) =< aux(491)+3 s(14645) =< s(14634)*(1/3)+s(14636) s(14646) =< s(14634)*(1/3)+s(14636) s(14644) =< s(14634)*(1/2)+s(14635) s(14645) =< s(14634)*(1/2)+s(14635) s(14646) =< s(14634)*(1/2)+s(14635) s(14647) =< s(14634)*(1/5)+s(14638) s(14642) =< s(14634)*(1/5)+s(14638) s(14648) =< s(14634)*(2/7)+s(14639) s(14647) =< s(14634)*(2/7)+s(14639) s(14642) =< s(14634)*(2/7)+s(14639) s(14649) =< s(14634)*(4/11)+s(14637)*(1/11)+s(14640) s(14648) =< s(14634)*(4/11)+s(14637)*(1/11)+s(14640) s(14647) =< s(14634)*(4/11)+s(14637)*(1/11)+s(14640) s(14642) =< s(14634)*(4/11)+s(14637)*(1/11)+s(14640) s(14650) =< s(14634)*(5/13)+s(14637)*(2/13)+s(14641) s(14649) =< s(14634)*(5/13)+s(14637)*(2/13)+s(14641) s(14648) =< s(14634)*(5/13)+s(14637)*(2/13)+s(14641) s(14647) =< s(14634)*(5/13)+s(14637)*(2/13)+s(14641) s(14642) =< s(14634)*(5/13)+s(14637)*(2/13)+s(14641) s(14654) =< s(14646)*s(14651) s(14655) =< s(14644)*s(14651) s(14656) =< s(14643)*s(14652) s(14657) =< s(14643)*s(14651) s(14658) =< s(14642)*s(14651) s(14659) =< s(14648)*s(14653) s(14660) =< s(14648)*s(14653) s(14661) =< s(14649)*s(14653) s(14662) =< s(14650)*s(14653) s(14663) =< s(14654) s(14664) =< s(14651) s(14665) =< s(14663)*s(14651) s(14666) =< s(14663)*s(14664) s(14667) =< s(14655) s(14668) =< s(14667)*s(14651) s(14669) =< s(14667)*s(14664) s(14670) =< s(14656) s(14671) =< s(14652) s(14672) =< s(14670)*s(14652) s(14673) =< s(14670)*s(14671) s(14674) =< s(14657) s(14675) =< s(14674)*s(14651) s(14676) =< s(14674)*s(14664) s(14677) =< s(14658) s(14678) =< s(14677)*s(14651) s(14679) =< s(14677)*s(14664) s(14680) =< s(14659) s(14681) =< s(14662) s(14682) =< s(14653) s(14683) =< s(14681)*s(14653) s(14684) =< s(14681)*s(14682) s(14685) =< s(14681)*aux(491) s(14589) =< s(14580) s(14590) =< s(14580) s(14591) =< s(14580) s(14592) =< s(14580) s(14593) =< s(14580) s(14584) =< s(14580) s(14584) =< s(14581) s(14591) =< s(14582) s(14592) =< s(14583) s(14594) =< s(14585) s(14595) =< s(14586) s(14596) =< s(14587) s(14597) =< s(14588) s(14598) =< s(14580)+2 s(14599) =< s(14580)+3 s(14600) =< s(14580) s(14592) =< s(14581)*(1/3)+s(14583) s(14593) =< s(14581)*(1/3)+s(14583) s(14591) =< s(14581)*(1/2)+s(14582) s(14592) =< s(14581)*(1/2)+s(14582) s(14593) =< s(14581)*(1/2)+s(14582) s(14594) =< s(14581)*(1/5)+s(14585) s(14589) =< s(14581)*(1/5)+s(14585) s(14595) =< s(14581)*(2/7)+s(14586) s(14594) =< s(14581)*(2/7)+s(14586) s(14589) =< s(14581)*(2/7)+s(14586) s(14596) =< s(14581)*(4/11)+s(14584)*(1/11)+s(14587) s(14595) =< s(14581)*(4/11)+s(14584)*(1/11)+s(14587) s(14594) =< s(14581)*(4/11)+s(14584)*(1/11)+s(14587) s(14589) =< s(14581)*(4/11)+s(14584)*(1/11)+s(14587) s(14597) =< s(14581)*(5/13)+s(14584)*(2/13)+s(14588) s(14596) =< s(14581)*(5/13)+s(14584)*(2/13)+s(14588) s(14595) =< s(14581)*(5/13)+s(14584)*(2/13)+s(14588) s(14594) =< s(14581)*(5/13)+s(14584)*(2/13)+s(14588) s(14589) =< s(14581)*(5/13)+s(14584)*(2/13)+s(14588) s(14601) =< s(14593)*s(14598) s(14602) =< s(14591)*s(14598) s(14603) =< s(14590)*s(14599) s(14604) =< s(14590)*s(14598) s(14605) =< s(14589)*s(14598) s(14606) =< s(14595)*s(14600) s(14607) =< s(14595)*s(14600) s(14608) =< s(14596)*s(14600) s(14609) =< s(14597)*s(14600) s(14610) =< s(14601) s(14611) =< s(14598) s(14612) =< s(14610)*s(14598) s(14613) =< s(14610)*s(14611) s(14614) =< s(14602) s(14615) =< s(14614)*s(14598) s(14616) =< s(14614)*s(14611) s(14617) =< s(14603) s(14618) =< s(14599) s(14619) =< s(14617)*s(14599) s(14620) =< s(14617)*s(14618) s(14621) =< s(14604) s(14622) =< s(14621)*s(14598) s(14623) =< s(14621)*s(14611) s(14624) =< s(14605) s(14625) =< s(14624)*s(14598) s(14626) =< s(14624)*s(14611) s(14627) =< s(14606) s(14628) =< s(14609) s(14629) =< s(14600) s(14630) =< s(14628)*s(14600) s(14631) =< s(14628)*s(14629) s(14632) =< s(14628)*s(14580) with precondition: [V9=2,V>=2,V6>=3,Out>=2,V6>=Out] * Chain [72]: 20*s(14701)+78*s(14702)+32*s(14703)+32*s(14704)+20*s(14705)+2*s(14706)+44*s(14707)+22*s(14708)+66*s(14709)+2*s(14719)+2*s(14720)+60*s(14722)+6*s(14724)+6*s(14725)+40*s(14726)+4*s(14727)+4*s(14728)+60*s(14729)+6*s(14731)+6*s(14732)+42*s(14733)+4*s(14734)+4*s(14735)+124*s(14736)+12*s(14737)+12*s(14738)+4*s(14739)+88*s(14740)+8*s(14742)+6*s(14743)+2*s(14744)+20*s(14754)+100*s(14755)+32*s(14756)+32*s(14757)+20*s(14758)+2*s(14759)+44*s(14760)+22*s(14761)+66*s(14762)+2*s(14772)+2*s(14773)+60*s(14775)+6*s(14777)+6*s(14778)+40*s(14779)+4*s(14780)+4*s(14781)+60*s(14782)+6*s(14784)+6*s(14785)+42*s(14786)+4*s(14787)+4*s(14788)+124*s(14789)+12*s(14790)+12*s(14791)+4*s(14792)+88*s(14793)+8*s(14795)+6*s(14796)+2*s(14797)+2*s(14802)+2*s(14803)+11 Such that:aux(494) =< V aux(495) =< 2*V+1 aux(496) =< V/2 aux(497) =< 2/3*V aux(498) =< 2/3*V+1/3 aux(499) =< 3/5*V aux(500) =< 3/7*V aux(501) =< 3/11*V aux(502) =< 3/13*V aux(503) =< V6 aux(504) =< 2*V6+1 aux(505) =< V6/2 aux(506) =< 2/3*V6 aux(507) =< 2/3*V6+1/3 aux(508) =< 3/5*V6 aux(509) =< 3/7*V6 aux(510) =< 3/11*V6 aux(511) =< 3/13*V6 s(14696) =< aux(498) s(14749) =< aux(507) s(14755) =< aux(503) s(14765) =< aux(503) s(14802) =< s(14755)*aux(503) s(14803) =< s(14755)*s(14765) s(14754) =< aux(503) s(14756) =< aux(503) s(14757) =< aux(503) s(14758) =< aux(503) s(14749) =< aux(503) s(14749) =< aux(504) s(14756) =< aux(505) s(14757) =< aux(506) s(14759) =< aux(508) s(14760) =< aux(509) s(14761) =< aux(510) s(14762) =< aux(511) s(14763) =< aux(503)+2 s(14764) =< aux(503)+3 s(14757) =< aux(504)*(1/3)+aux(506) s(14758) =< aux(504)*(1/3)+aux(506) s(14756) =< aux(504)*(1/2)+aux(505) s(14757) =< aux(504)*(1/2)+aux(505) s(14758) =< aux(504)*(1/2)+aux(505) s(14759) =< aux(504)*(1/5)+aux(508) s(14754) =< aux(504)*(1/5)+aux(508) s(14760) =< aux(504)*(2/7)+aux(509) s(14759) =< aux(504)*(2/7)+aux(509) s(14754) =< aux(504)*(2/7)+aux(509) s(14761) =< aux(504)*(4/11)+s(14749)*(1/11)+aux(510) s(14760) =< aux(504)*(4/11)+s(14749)*(1/11)+aux(510) s(14759) =< aux(504)*(4/11)+s(14749)*(1/11)+aux(510) s(14754) =< aux(504)*(4/11)+s(14749)*(1/11)+aux(510) s(14762) =< aux(504)*(5/13)+s(14749)*(2/13)+aux(511) s(14761) =< aux(504)*(5/13)+s(14749)*(2/13)+aux(511) s(14760) =< aux(504)*(5/13)+s(14749)*(2/13)+aux(511) s(14759) =< aux(504)*(5/13)+s(14749)*(2/13)+aux(511) s(14754) =< aux(504)*(5/13)+s(14749)*(2/13)+aux(511) s(14766) =< s(14758)*s(14763) s(14767) =< s(14756)*s(14763) s(14768) =< s(14755)*s(14764) s(14769) =< s(14755)*s(14763) s(14770) =< s(14754)*s(14763) s(14771) =< s(14760)*s(14765) s(14772) =< s(14760)*s(14765) s(14773) =< s(14761)*s(14765) s(14774) =< s(14762)*s(14765) s(14775) =< s(14766) s(14776) =< s(14763) s(14777) =< s(14775)*s(14763) s(14778) =< s(14775)*s(14776) s(14779) =< s(14767) s(14780) =< s(14779)*s(14763) s(14781) =< s(14779)*s(14776) s(14782) =< s(14768) s(14783) =< s(14764) s(14784) =< s(14782)*s(14764) s(14785) =< s(14782)*s(14783) s(14786) =< s(14769) s(14787) =< s(14786)*s(14763) s(14788) =< s(14786)*s(14776) s(14789) =< s(14770) s(14790) =< s(14789)*s(14763) s(14791) =< s(14789)*s(14776) s(14792) =< s(14771) s(14793) =< s(14774) s(14794) =< s(14765) s(14795) =< s(14793)*s(14765) s(14796) =< s(14793)*s(14794) s(14797) =< s(14793)*aux(503) s(14701) =< aux(494) s(14702) =< aux(494) s(14703) =< aux(494) s(14704) =< aux(494) s(14705) =< aux(494) s(14696) =< aux(494) s(14696) =< aux(495) s(14703) =< aux(496) s(14704) =< aux(497) s(14706) =< aux(499) s(14707) =< aux(500) s(14708) =< aux(501) s(14709) =< aux(502) s(14710) =< aux(494)+2 s(14711) =< aux(494)+3 s(14712) =< aux(494) s(14704) =< aux(495)*(1/3)+aux(497) s(14705) =< aux(495)*(1/3)+aux(497) s(14703) =< aux(495)*(1/2)+aux(496) s(14704) =< aux(495)*(1/2)+aux(496) s(14705) =< aux(495)*(1/2)+aux(496) s(14706) =< aux(495)*(1/5)+aux(499) s(14701) =< aux(495)*(1/5)+aux(499) s(14707) =< aux(495)*(2/7)+aux(500) s(14706) =< aux(495)*(2/7)+aux(500) s(14701) =< aux(495)*(2/7)+aux(500) s(14708) =< aux(495)*(4/11)+s(14696)*(1/11)+aux(501) s(14707) =< aux(495)*(4/11)+s(14696)*(1/11)+aux(501) s(14706) =< aux(495)*(4/11)+s(14696)*(1/11)+aux(501) s(14701) =< aux(495)*(4/11)+s(14696)*(1/11)+aux(501) s(14709) =< aux(495)*(5/13)+s(14696)*(2/13)+aux(502) s(14708) =< aux(495)*(5/13)+s(14696)*(2/13)+aux(502) s(14707) =< aux(495)*(5/13)+s(14696)*(2/13)+aux(502) s(14706) =< aux(495)*(5/13)+s(14696)*(2/13)+aux(502) s(14701) =< aux(495)*(5/13)+s(14696)*(2/13)+aux(502) s(14713) =< s(14705)*s(14710) s(14714) =< s(14703)*s(14710) s(14715) =< s(14702)*s(14711) s(14716) =< s(14702)*s(14710) s(14717) =< s(14701)*s(14710) s(14718) =< s(14707)*s(14712) s(14719) =< s(14707)*s(14712) s(14720) =< s(14708)*s(14712) s(14721) =< s(14709)*s(14712) s(14722) =< s(14713) s(14723) =< s(14710) s(14724) =< s(14722)*s(14710) s(14725) =< s(14722)*s(14723) s(14726) =< s(14714) s(14727) =< s(14726)*s(14710) s(14728) =< s(14726)*s(14723) s(14729) =< s(14715) s(14730) =< s(14711) s(14731) =< s(14729)*s(14711) s(14732) =< s(14729)*s(14730) s(14733) =< s(14716) s(14734) =< s(14733)*s(14710) s(14735) =< s(14733)*s(14723) s(14736) =< s(14717) s(14737) =< s(14736)*s(14710) s(14738) =< s(14736)*s(14723) s(14739) =< s(14718) s(14740) =< s(14721) s(14741) =< s(14712) s(14742) =< s(14740)*s(14712) s(14743) =< s(14740)*s(14741) s(14744) =< s(14740)*aux(494) with precondition: [V9=2,V>=2,V6>=3,Out>=3,V6+1>=Out] * Chain [71]: 10*s(14925)+39*s(14926)+16*s(14927)+16*s(14928)+10*s(14929)+1*s(14930)+22*s(14931)+11*s(14932)+33*s(14933)+1*s(14943)+1*s(14944)+30*s(14946)+3*s(14948)+3*s(14949)+20*s(14950)+2*s(14951)+2*s(14952)+30*s(14953)+3*s(14955)+3*s(14956)+21*s(14957)+2*s(14958)+2*s(14959)+62*s(14960)+6*s(14961)+6*s(14962)+2*s(14963)+44*s(14964)+4*s(14966)+3*s(14967)+1*s(14968)+10*s(14978)+50*s(14979)+16*s(14980)+16*s(14981)+10*s(14982)+1*s(14983)+22*s(14984)+11*s(14985)+33*s(14986)+1*s(14996)+1*s(14997)+30*s(14999)+3*s(15001)+3*s(15002)+20*s(15003)+2*s(15004)+2*s(15005)+30*s(15006)+3*s(15008)+3*s(15009)+21*s(15010)+2*s(15011)+2*s(15012)+62*s(15013)+6*s(15014)+6*s(15015)+2*s(15016)+44*s(15017)+4*s(15019)+3*s(15020)+1*s(15021)+1*s(15026)+1*s(15027)+11 Such that:s(14916) =< V s(14917) =< 2*V+1 s(14918) =< V/2 s(14919) =< 2/3*V s(14920) =< 2/3*V+1/3 s(14921) =< 3/5*V s(14922) =< 3/7*V s(14923) =< 3/11*V s(14924) =< 3/13*V s(14970) =< 2*V6+1 s(14971) =< V6/2 s(14972) =< 2/3*V6 s(14973) =< 2/3*V6+1/3 s(14974) =< 3/5*V6 s(14975) =< 3/7*V6 s(14976) =< 3/11*V6 s(14977) =< 3/13*V6 aux(512) =< V6 s(14979) =< aux(512) s(14989) =< aux(512) s(15026) =< s(14979)*aux(512) s(15027) =< s(14979)*s(14989) s(14978) =< aux(512) s(14980) =< aux(512) s(14981) =< aux(512) s(14982) =< aux(512) s(14973) =< aux(512) s(14973) =< s(14970) s(14980) =< s(14971) s(14981) =< s(14972) s(14983) =< s(14974) s(14984) =< s(14975) s(14985) =< s(14976) s(14986) =< s(14977) s(14987) =< aux(512)+2 s(14988) =< aux(512)+3 s(14981) =< s(14970)*(1/3)+s(14972) s(14982) =< s(14970)*(1/3)+s(14972) s(14980) =< s(14970)*(1/2)+s(14971) s(14981) =< s(14970)*(1/2)+s(14971) s(14982) =< s(14970)*(1/2)+s(14971) s(14983) =< s(14970)*(1/5)+s(14974) s(14978) =< s(14970)*(1/5)+s(14974) s(14984) =< s(14970)*(2/7)+s(14975) s(14983) =< s(14970)*(2/7)+s(14975) s(14978) =< s(14970)*(2/7)+s(14975) s(14985) =< s(14970)*(4/11)+s(14973)*(1/11)+s(14976) s(14984) =< s(14970)*(4/11)+s(14973)*(1/11)+s(14976) s(14983) =< s(14970)*(4/11)+s(14973)*(1/11)+s(14976) s(14978) =< s(14970)*(4/11)+s(14973)*(1/11)+s(14976) s(14986) =< s(14970)*(5/13)+s(14973)*(2/13)+s(14977) s(14985) =< s(14970)*(5/13)+s(14973)*(2/13)+s(14977) s(14984) =< s(14970)*(5/13)+s(14973)*(2/13)+s(14977) s(14983) =< s(14970)*(5/13)+s(14973)*(2/13)+s(14977) s(14978) =< s(14970)*(5/13)+s(14973)*(2/13)+s(14977) s(14990) =< s(14982)*s(14987) s(14991) =< s(14980)*s(14987) s(14992) =< s(14979)*s(14988) s(14993) =< s(14979)*s(14987) s(14994) =< s(14978)*s(14987) s(14995) =< s(14984)*s(14989) s(14996) =< s(14984)*s(14989) s(14997) =< s(14985)*s(14989) s(14998) =< s(14986)*s(14989) s(14999) =< s(14990) s(15000) =< s(14987) s(15001) =< s(14999)*s(14987) s(15002) =< s(14999)*s(15000) s(15003) =< s(14991) s(15004) =< s(15003)*s(14987) s(15005) =< s(15003)*s(15000) s(15006) =< s(14992) s(15007) =< s(14988) s(15008) =< s(15006)*s(14988) s(15009) =< s(15006)*s(15007) s(15010) =< s(14993) s(15011) =< s(15010)*s(14987) s(15012) =< s(15010)*s(15000) s(15013) =< s(14994) s(15014) =< s(15013)*s(14987) s(15015) =< s(15013)*s(15000) s(15016) =< s(14995) s(15017) =< s(14998) s(15018) =< s(14989) s(15019) =< s(15017)*s(14989) s(15020) =< s(15017)*s(15018) s(15021) =< s(15017)*aux(512) s(14925) =< s(14916) s(14926) =< s(14916) s(14927) =< s(14916) s(14928) =< s(14916) s(14929) =< s(14916) s(14920) =< s(14916) s(14920) =< s(14917) s(14927) =< s(14918) s(14928) =< s(14919) s(14930) =< s(14921) s(14931) =< s(14922) s(14932) =< s(14923) s(14933) =< s(14924) s(14934) =< s(14916)+2 s(14935) =< s(14916)+3 s(14936) =< s(14916) s(14928) =< s(14917)*(1/3)+s(14919) s(14929) =< s(14917)*(1/3)+s(14919) s(14927) =< s(14917)*(1/2)+s(14918) s(14928) =< s(14917)*(1/2)+s(14918) s(14929) =< s(14917)*(1/2)+s(14918) s(14930) =< s(14917)*(1/5)+s(14921) s(14925) =< s(14917)*(1/5)+s(14921) s(14931) =< s(14917)*(2/7)+s(14922) s(14930) =< s(14917)*(2/7)+s(14922) s(14925) =< s(14917)*(2/7)+s(14922) s(14932) =< s(14917)*(4/11)+s(14920)*(1/11)+s(14923) s(14931) =< s(14917)*(4/11)+s(14920)*(1/11)+s(14923) s(14930) =< s(14917)*(4/11)+s(14920)*(1/11)+s(14923) s(14925) =< s(14917)*(4/11)+s(14920)*(1/11)+s(14923) s(14933) =< s(14917)*(5/13)+s(14920)*(2/13)+s(14924) s(14932) =< s(14917)*(5/13)+s(14920)*(2/13)+s(14924) s(14931) =< s(14917)*(5/13)+s(14920)*(2/13)+s(14924) s(14930) =< s(14917)*(5/13)+s(14920)*(2/13)+s(14924) s(14925) =< s(14917)*(5/13)+s(14920)*(2/13)+s(14924) s(14937) =< s(14929)*s(14934) s(14938) =< s(14927)*s(14934) s(14939) =< s(14926)*s(14935) s(14940) =< s(14926)*s(14934) s(14941) =< s(14925)*s(14934) s(14942) =< s(14931)*s(14936) s(14943) =< s(14931)*s(14936) s(14944) =< s(14932)*s(14936) s(14945) =< s(14933)*s(14936) s(14946) =< s(14937) s(14947) =< s(14934) s(14948) =< s(14946)*s(14934) s(14949) =< s(14946)*s(14947) s(14950) =< s(14938) s(14951) =< s(14950)*s(14934) s(14952) =< s(14950)*s(14947) s(14953) =< s(14939) s(14954) =< s(14935) s(14955) =< s(14953)*s(14935) s(14956) =< s(14953)*s(14954) s(14957) =< s(14940) s(14958) =< s(14957)*s(14934) s(14959) =< s(14957)*s(14947) s(14960) =< s(14941) s(14961) =< s(14960)*s(14934) s(14962) =< s(14960)*s(14947) s(14963) =< s(14942) s(14964) =< s(14945) s(14965) =< s(14936) s(14966) =< s(14964)*s(14936) s(14967) =< s(14964)*s(14965) s(14968) =< s(14964)*s(14916) with precondition: [V9=2,V>=2,V6>=3,Out>=4,V6+2>=Out] #### Cost of chains of fun3(Out): * Chain [97]: 0 with precondition: [Out=0] * Chain [96]: 0 with precondition: [Out=1] #### Cost of chains of fun4(V,Out): * Chain [100]: 10*s(17229)+39*s(17230)+16*s(17231)+16*s(17232)+10*s(17233)+1*s(17234)+22*s(17235)+11*s(17236)+33*s(17237)+1*s(17247)+1*s(17248)+30*s(17250)+3*s(17252)+3*s(17253)+20*s(17254)+2*s(17255)+2*s(17256)+30*s(17257)+3*s(17259)+3*s(17260)+21*s(17261)+2*s(17262)+2*s(17263)+62*s(17264)+6*s(17265)+6*s(17266)+2*s(17267)+44*s(17268)+4*s(17270)+3*s(17271)+1*s(17272)+0 Such that:s(17220) =< V s(17221) =< 2*V+1 s(17222) =< V/2 s(17223) =< 2/3*V s(17224) =< 2/3*V+1/3 s(17225) =< 3/5*V s(17226) =< 3/7*V s(17227) =< 3/11*V s(17228) =< 3/13*V s(17229) =< s(17220) s(17230) =< s(17220) s(17231) =< s(17220) s(17232) =< s(17220) s(17233) =< s(17220) s(17224) =< s(17220) s(17224) =< s(17221) s(17231) =< s(17222) s(17232) =< s(17223) s(17234) =< s(17225) s(17235) =< s(17226) s(17236) =< s(17227) s(17237) =< s(17228) s(17238) =< s(17220)+2 s(17239) =< s(17220)+3 s(17240) =< s(17220) s(17232) =< s(17221)*(1/3)+s(17223) s(17233) =< s(17221)*(1/3)+s(17223) s(17231) =< s(17221)*(1/2)+s(17222) s(17232) =< s(17221)*(1/2)+s(17222) s(17233) =< s(17221)*(1/2)+s(17222) s(17234) =< s(17221)*(1/5)+s(17225) s(17229) =< s(17221)*(1/5)+s(17225) s(17235) =< s(17221)*(2/7)+s(17226) s(17234) =< s(17221)*(2/7)+s(17226) s(17229) =< s(17221)*(2/7)+s(17226) s(17236) =< s(17221)*(4/11)+s(17224)*(1/11)+s(17227) s(17235) =< s(17221)*(4/11)+s(17224)*(1/11)+s(17227) s(17234) =< s(17221)*(4/11)+s(17224)*(1/11)+s(17227) s(17229) =< s(17221)*(4/11)+s(17224)*(1/11)+s(17227) s(17237) =< s(17221)*(5/13)+s(17224)*(2/13)+s(17228) s(17236) =< s(17221)*(5/13)+s(17224)*(2/13)+s(17228) s(17235) =< s(17221)*(5/13)+s(17224)*(2/13)+s(17228) s(17234) =< s(17221)*(5/13)+s(17224)*(2/13)+s(17228) s(17229) =< s(17221)*(5/13)+s(17224)*(2/13)+s(17228) s(17241) =< s(17233)*s(17238) s(17242) =< s(17231)*s(17238) s(17243) =< s(17230)*s(17239) s(17244) =< s(17230)*s(17238) s(17245) =< s(17229)*s(17238) s(17246) =< s(17235)*s(17240) s(17247) =< s(17235)*s(17240) s(17248) =< s(17236)*s(17240) s(17249) =< s(17237)*s(17240) s(17250) =< s(17241) s(17251) =< s(17238) s(17252) =< s(17250)*s(17238) s(17253) =< s(17250)*s(17251) s(17254) =< s(17242) s(17255) =< s(17254)*s(17238) s(17256) =< s(17254)*s(17251) s(17257) =< s(17243) s(17258) =< s(17239) s(17259) =< s(17257)*s(17239) s(17260) =< s(17257)*s(17258) s(17261) =< s(17244) s(17262) =< s(17261)*s(17238) s(17263) =< s(17261)*s(17251) s(17264) =< s(17245) s(17265) =< s(17264)*s(17238) s(17266) =< s(17264)*s(17251) s(17267) =< s(17246) s(17268) =< s(17249) s(17269) =< s(17240) s(17270) =< s(17268)*s(17240) s(17271) =< s(17268)*s(17269) s(17272) =< s(17268)*s(17220) with precondition: [V>=1,Out>=1,V+1>=Out] * Chain [99]: 0 with precondition: [Out=0,V>=0] * Chain [98]: 0 with precondition: [Out=1,V>=0] #### Cost of chains of fun5(Out): * Chain [102]: 0 with precondition: [Out=0] * Chain [101]: 0 with precondition: [Out=2] #### Cost of chains of fun6(V,Out): * Chain [104]: 10*s(17282)+39*s(17283)+16*s(17284)+16*s(17285)+10*s(17286)+1*s(17287)+22*s(17288)+11*s(17289)+33*s(17290)+1*s(17300)+1*s(17301)+30*s(17303)+3*s(17305)+3*s(17306)+20*s(17307)+2*s(17308)+2*s(17309)+30*s(17310)+3*s(17312)+3*s(17313)+21*s(17314)+2*s(17315)+2*s(17316)+62*s(17317)+6*s(17318)+6*s(17319)+2*s(17320)+44*s(17321)+4*s(17323)+3*s(17324)+1*s(17325)+1 Such that:s(17273) =< V s(17274) =< 2*V+1 s(17275) =< V/2 s(17276) =< 2/3*V s(17277) =< 2/3*V+1/3 s(17278) =< 3/5*V s(17279) =< 3/7*V s(17280) =< 3/11*V s(17281) =< 3/13*V s(17282) =< s(17273) s(17283) =< s(17273) s(17284) =< s(17273) s(17285) =< s(17273) s(17286) =< s(17273) s(17277) =< s(17273) s(17277) =< s(17274) s(17284) =< s(17275) s(17285) =< s(17276) s(17287) =< s(17278) s(17288) =< s(17279) s(17289) =< s(17280) s(17290) =< s(17281) s(17291) =< s(17273)+2 s(17292) =< s(17273)+3 s(17293) =< s(17273) s(17285) =< s(17274)*(1/3)+s(17276) s(17286) =< s(17274)*(1/3)+s(17276) s(17284) =< s(17274)*(1/2)+s(17275) s(17285) =< s(17274)*(1/2)+s(17275) s(17286) =< s(17274)*(1/2)+s(17275) s(17287) =< s(17274)*(1/5)+s(17278) s(17282) =< s(17274)*(1/5)+s(17278) s(17288) =< s(17274)*(2/7)+s(17279) s(17287) =< s(17274)*(2/7)+s(17279) s(17282) =< s(17274)*(2/7)+s(17279) s(17289) =< s(17274)*(4/11)+s(17277)*(1/11)+s(17280) s(17288) =< s(17274)*(4/11)+s(17277)*(1/11)+s(17280) s(17287) =< s(17274)*(4/11)+s(17277)*(1/11)+s(17280) s(17282) =< s(17274)*(4/11)+s(17277)*(1/11)+s(17280) s(17290) =< s(17274)*(5/13)+s(17277)*(2/13)+s(17281) s(17289) =< s(17274)*(5/13)+s(17277)*(2/13)+s(17281) s(17288) =< s(17274)*(5/13)+s(17277)*(2/13)+s(17281) s(17287) =< s(17274)*(5/13)+s(17277)*(2/13)+s(17281) s(17282) =< s(17274)*(5/13)+s(17277)*(2/13)+s(17281) s(17294) =< s(17286)*s(17291) s(17295) =< s(17284)*s(17291) s(17296) =< s(17283)*s(17292) s(17297) =< s(17283)*s(17291) s(17298) =< s(17282)*s(17291) s(17299) =< s(17288)*s(17293) s(17300) =< s(17288)*s(17293) s(17301) =< s(17289)*s(17293) s(17302) =< s(17290)*s(17293) s(17303) =< s(17294) s(17304) =< s(17291) s(17305) =< s(17303)*s(17291) s(17306) =< s(17303)*s(17304) s(17307) =< s(17295) s(17308) =< s(17307)*s(17291) s(17309) =< s(17307)*s(17304) s(17310) =< s(17296) s(17311) =< s(17292) s(17312) =< s(17310)*s(17292) s(17313) =< s(17310)*s(17311) s(17314) =< s(17297) s(17315) =< s(17314)*s(17291) s(17316) =< s(17314)*s(17304) s(17317) =< s(17298) s(17318) =< s(17317)*s(17291) s(17319) =< s(17317)*s(17304) s(17320) =< s(17299) s(17321) =< s(17302) s(17322) =< s(17293) s(17323) =< s(17321)*s(17293) s(17324) =< s(17321)*s(17322) s(17325) =< s(17321)*s(17273) with precondition: [Out=0,V>=0] * Chain [103]: 10*s(17335)+40*s(17336)+16*s(17337)+16*s(17338)+10*s(17339)+1*s(17340)+22*s(17341)+11*s(17342)+33*s(17343)+1*s(17353)+1*s(17354)+30*s(17356)+3*s(17358)+3*s(17359)+20*s(17360)+2*s(17361)+2*s(17362)+30*s(17363)+3*s(17365)+3*s(17366)+21*s(17367)+2*s(17368)+2*s(17369)+62*s(17370)+6*s(17371)+6*s(17372)+2*s(17373)+44*s(17374)+4*s(17376)+3*s(17377)+1*s(17378)+1*s(17380)+1 Such that:s(17380) =< 1 aux(663) =< V s(17327) =< 2*V+1 s(17328) =< V/2 s(17329) =< 2/3*V s(17330) =< 2/3*V+1/3 s(17331) =< 3/5*V s(17332) =< 3/7*V s(17333) =< 3/11*V s(17334) =< 3/13*V s(17336) =< aux(663) s(17335) =< aux(663) s(17337) =< aux(663) s(17338) =< aux(663) s(17339) =< aux(663) s(17330) =< aux(663) s(17330) =< s(17327) s(17337) =< s(17328) s(17338) =< s(17329) s(17340) =< s(17331) s(17341) =< s(17332) s(17342) =< s(17333) s(17343) =< s(17334) s(17344) =< aux(663)+2 s(17345) =< aux(663)+3 s(17346) =< aux(663) s(17338) =< s(17327)*(1/3)+s(17329) s(17339) =< s(17327)*(1/3)+s(17329) s(17337) =< s(17327)*(1/2)+s(17328) s(17338) =< s(17327)*(1/2)+s(17328) s(17339) =< s(17327)*(1/2)+s(17328) s(17340) =< s(17327)*(1/5)+s(17331) s(17335) =< s(17327)*(1/5)+s(17331) s(17341) =< s(17327)*(2/7)+s(17332) s(17340) =< s(17327)*(2/7)+s(17332) s(17335) =< s(17327)*(2/7)+s(17332) s(17342) =< s(17327)*(4/11)+s(17330)*(1/11)+s(17333) s(17341) =< s(17327)*(4/11)+s(17330)*(1/11)+s(17333) s(17340) =< s(17327)*(4/11)+s(17330)*(1/11)+s(17333) s(17335) =< s(17327)*(4/11)+s(17330)*(1/11)+s(17333) s(17343) =< s(17327)*(5/13)+s(17330)*(2/13)+s(17334) s(17342) =< s(17327)*(5/13)+s(17330)*(2/13)+s(17334) s(17341) =< s(17327)*(5/13)+s(17330)*(2/13)+s(17334) s(17340) =< s(17327)*(5/13)+s(17330)*(2/13)+s(17334) s(17335) =< s(17327)*(5/13)+s(17330)*(2/13)+s(17334) s(17347) =< s(17339)*s(17344) s(17348) =< s(17337)*s(17344) s(17349) =< s(17336)*s(17345) s(17350) =< s(17336)*s(17344) s(17351) =< s(17335)*s(17344) s(17352) =< s(17341)*s(17346) s(17353) =< s(17341)*s(17346) s(17354) =< s(17342)*s(17346) s(17355) =< s(17343)*s(17346) s(17356) =< s(17347) s(17357) =< s(17344) s(17358) =< s(17356)*s(17344) s(17359) =< s(17356)*s(17357) s(17360) =< s(17348) s(17361) =< s(17360)*s(17344) s(17362) =< s(17360)*s(17357) s(17363) =< s(17349) s(17364) =< s(17345) s(17365) =< s(17363)*s(17345) s(17366) =< s(17363)*s(17364) s(17367) =< s(17350) s(17368) =< s(17367)*s(17344) s(17369) =< s(17367)*s(17357) s(17370) =< s(17351) s(17371) =< s(17370)*s(17344) s(17372) =< s(17370)*s(17357) s(17373) =< s(17352) s(17374) =< s(17355) s(17375) =< s(17346) s(17376) =< s(17374)*s(17346) s(17377) =< s(17374)*s(17375) s(17378) =< s(17374)*aux(663) with precondition: [Out>=1,V>=Out+1] #### Cost of chains of fun7(V,Out): * Chain [108]: 10*s(17390)+39*s(17391)+16*s(17392)+16*s(17393)+10*s(17394)+1*s(17395)+22*s(17396)+11*s(17397)+33*s(17398)+1*s(17408)+1*s(17409)+30*s(17411)+3*s(17413)+3*s(17414)+20*s(17415)+2*s(17416)+2*s(17417)+30*s(17418)+3*s(17420)+3*s(17421)+21*s(17422)+2*s(17423)+2*s(17424)+62*s(17425)+6*s(17426)+6*s(17427)+2*s(17428)+44*s(17429)+4*s(17431)+3*s(17432)+1*s(17433)+1 Such that:s(17381) =< V s(17382) =< 2*V+1 s(17383) =< V/2 s(17384) =< 2/3*V s(17385) =< 2/3*V+1/3 s(17386) =< 3/5*V s(17387) =< 3/7*V s(17388) =< 3/11*V s(17389) =< 3/13*V s(17390) =< s(17381) s(17391) =< s(17381) s(17392) =< s(17381) s(17393) =< s(17381) s(17394) =< s(17381) s(17385) =< s(17381) s(17385) =< s(17382) s(17392) =< s(17383) s(17393) =< s(17384) s(17395) =< s(17386) s(17396) =< s(17387) s(17397) =< s(17388) s(17398) =< s(17389) s(17399) =< s(17381)+2 s(17400) =< s(17381)+3 s(17401) =< s(17381) s(17393) =< s(17382)*(1/3)+s(17384) s(17394) =< s(17382)*(1/3)+s(17384) s(17392) =< s(17382)*(1/2)+s(17383) s(17393) =< s(17382)*(1/2)+s(17383) s(17394) =< s(17382)*(1/2)+s(17383) s(17395) =< s(17382)*(1/5)+s(17386) s(17390) =< s(17382)*(1/5)+s(17386) s(17396) =< s(17382)*(2/7)+s(17387) s(17395) =< s(17382)*(2/7)+s(17387) s(17390) =< s(17382)*(2/7)+s(17387) s(17397) =< s(17382)*(4/11)+s(17385)*(1/11)+s(17388) s(17396) =< s(17382)*(4/11)+s(17385)*(1/11)+s(17388) s(17395) =< s(17382)*(4/11)+s(17385)*(1/11)+s(17388) s(17390) =< s(17382)*(4/11)+s(17385)*(1/11)+s(17388) s(17398) =< s(17382)*(5/13)+s(17385)*(2/13)+s(17389) s(17397) =< s(17382)*(5/13)+s(17385)*(2/13)+s(17389) s(17396) =< s(17382)*(5/13)+s(17385)*(2/13)+s(17389) s(17395) =< s(17382)*(5/13)+s(17385)*(2/13)+s(17389) s(17390) =< s(17382)*(5/13)+s(17385)*(2/13)+s(17389) s(17402) =< s(17394)*s(17399) s(17403) =< s(17392)*s(17399) s(17404) =< s(17391)*s(17400) s(17405) =< s(17391)*s(17399) s(17406) =< s(17390)*s(17399) s(17407) =< s(17396)*s(17401) s(17408) =< s(17396)*s(17401) s(17409) =< s(17397)*s(17401) s(17410) =< s(17398)*s(17401) s(17411) =< s(17402) s(17412) =< s(17399) s(17413) =< s(17411)*s(17399) s(17414) =< s(17411)*s(17412) s(17415) =< s(17403) s(17416) =< s(17415)*s(17399) s(17417) =< s(17415)*s(17412) s(17418) =< s(17404) s(17419) =< s(17400) s(17420) =< s(17418)*s(17400) s(17421) =< s(17418)*s(17419) s(17422) =< s(17405) s(17423) =< s(17422)*s(17399) s(17424) =< s(17422)*s(17412) s(17425) =< s(17406) s(17426) =< s(17425)*s(17399) s(17427) =< s(17425)*s(17412) s(17428) =< s(17407) s(17429) =< s(17410) s(17430) =< s(17401) s(17431) =< s(17429)*s(17401) s(17432) =< s(17429)*s(17430) s(17433) =< s(17429)*s(17381) with precondition: [V>=1,Out>=0,V>=Out] * Chain [107]: 10*s(17443)+39*s(17444)+16*s(17445)+16*s(17446)+10*s(17447)+1*s(17448)+22*s(17449)+11*s(17450)+33*s(17451)+1*s(17461)+1*s(17462)+30*s(17464)+3*s(17466)+3*s(17467)+20*s(17468)+2*s(17469)+2*s(17470)+30*s(17471)+3*s(17473)+3*s(17474)+21*s(17475)+2*s(17476)+2*s(17477)+62*s(17478)+6*s(17479)+6*s(17480)+2*s(17481)+44*s(17482)+4*s(17484)+3*s(17485)+1*s(17486)+1 Such that:s(17434) =< V s(17435) =< 2*V+1 s(17436) =< V/2 s(17437) =< 2/3*V s(17438) =< 2/3*V+1/3 s(17439) =< 3/5*V s(17440) =< 3/7*V s(17441) =< 3/11*V s(17442) =< 3/13*V s(17443) =< s(17434) s(17444) =< s(17434) s(17445) =< s(17434) s(17446) =< s(17434) s(17447) =< s(17434) s(17438) =< s(17434) s(17438) =< s(17435) s(17445) =< s(17436) s(17446) =< s(17437) s(17448) =< s(17439) s(17449) =< s(17440) s(17450) =< s(17441) s(17451) =< s(17442) s(17452) =< s(17434)+2 s(17453) =< s(17434)+3 s(17454) =< s(17434) s(17446) =< s(17435)*(1/3)+s(17437) s(17447) =< s(17435)*(1/3)+s(17437) s(17445) =< s(17435)*(1/2)+s(17436) s(17446) =< s(17435)*(1/2)+s(17436) s(17447) =< s(17435)*(1/2)+s(17436) s(17448) =< s(17435)*(1/5)+s(17439) s(17443) =< s(17435)*(1/5)+s(17439) s(17449) =< s(17435)*(2/7)+s(17440) s(17448) =< s(17435)*(2/7)+s(17440) s(17443) =< s(17435)*(2/7)+s(17440) s(17450) =< s(17435)*(4/11)+s(17438)*(1/11)+s(17441) s(17449) =< s(17435)*(4/11)+s(17438)*(1/11)+s(17441) s(17448) =< s(17435)*(4/11)+s(17438)*(1/11)+s(17441) s(17443) =< s(17435)*(4/11)+s(17438)*(1/11)+s(17441) s(17451) =< s(17435)*(5/13)+s(17438)*(2/13)+s(17442) s(17450) =< s(17435)*(5/13)+s(17438)*(2/13)+s(17442) s(17449) =< s(17435)*(5/13)+s(17438)*(2/13)+s(17442) s(17448) =< s(17435)*(5/13)+s(17438)*(2/13)+s(17442) s(17443) =< s(17435)*(5/13)+s(17438)*(2/13)+s(17442) s(17455) =< s(17447)*s(17452) s(17456) =< s(17445)*s(17452) s(17457) =< s(17444)*s(17453) s(17458) =< s(17444)*s(17452) s(17459) =< s(17443)*s(17452) s(17460) =< s(17449)*s(17454) s(17461) =< s(17449)*s(17454) s(17462) =< s(17450)*s(17454) s(17463) =< s(17451)*s(17454) s(17464) =< s(17455) s(17465) =< s(17452) s(17466) =< s(17464)*s(17452) s(17467) =< s(17464)*s(17465) s(17468) =< s(17456) s(17469) =< s(17468)*s(17452) s(17470) =< s(17468)*s(17465) s(17471) =< s(17457) s(17472) =< s(17453) s(17473) =< s(17471)*s(17453) s(17474) =< s(17471)*s(17472) s(17475) =< s(17458) s(17476) =< s(17475)*s(17452) s(17477) =< s(17475)*s(17465) s(17478) =< s(17459) s(17479) =< s(17478)*s(17452) s(17480) =< s(17478)*s(17465) s(17481) =< s(17460) s(17482) =< s(17463) s(17483) =< s(17454) s(17484) =< s(17482)*s(17454) s(17485) =< s(17482)*s(17483) s(17486) =< s(17482)*s(17434) with precondition: [V>=1,Out>=1,V+1>=Out] * Chain [106]: 1 with precondition: [Out=0,V>=0] * Chain [105]: 1 with precondition: [Out=1,V>=0] #### Cost of chains of fun8(V,Out): * Chain [112]: 10*s(17496)+49*s(17497)+16*s(17498)+16*s(17499)+10*s(17500)+1*s(17501)+22*s(17502)+11*s(17503)+33*s(17504)+1*s(17514)+1*s(17515)+30*s(17517)+3*s(17519)+3*s(17520)+20*s(17521)+2*s(17522)+2*s(17523)+30*s(17524)+3*s(17526)+3*s(17527)+21*s(17528)+2*s(17529)+2*s(17530)+62*s(17531)+6*s(17532)+6*s(17533)+2*s(17534)+44*s(17535)+4*s(17537)+3*s(17538)+1*s(17539)+1*s(17543)+1*s(17544)+40*s(17546)+4*s(17548)+4*s(17549)+9 Such that:aux(664) =< V s(17488) =< 2*V+1 s(17489) =< V/2 s(17490) =< 2/3*V s(17491) =< 2/3*V+1/3 s(17492) =< 3/5*V s(17493) =< 3/7*V s(17494) =< 3/11*V s(17495) =< 3/13*V aux(665) =< 2 s(17546) =< aux(665) s(17547) =< aux(665) s(17548) =< s(17546)*aux(665) s(17549) =< s(17546)*s(17547) s(17497) =< aux(664) s(17507) =< aux(664) s(17543) =< s(17497)*aux(664) s(17544) =< s(17497)*s(17507) s(17496) =< aux(664) s(17498) =< aux(664) s(17499) =< aux(664) s(17500) =< aux(664) s(17491) =< aux(664) s(17491) =< s(17488) s(17498) =< s(17489) s(17499) =< s(17490) s(17501) =< s(17492) s(17502) =< s(17493) s(17503) =< s(17494) s(17504) =< s(17495) s(17505) =< aux(664)+2 s(17506) =< aux(664)+3 s(17499) =< s(17488)*(1/3)+s(17490) s(17500) =< s(17488)*(1/3)+s(17490) s(17498) =< s(17488)*(1/2)+s(17489) s(17499) =< s(17488)*(1/2)+s(17489) s(17500) =< s(17488)*(1/2)+s(17489) s(17501) =< s(17488)*(1/5)+s(17492) s(17496) =< s(17488)*(1/5)+s(17492) s(17502) =< s(17488)*(2/7)+s(17493) s(17501) =< s(17488)*(2/7)+s(17493) s(17496) =< s(17488)*(2/7)+s(17493) s(17503) =< s(17488)*(4/11)+s(17491)*(1/11)+s(17494) s(17502) =< s(17488)*(4/11)+s(17491)*(1/11)+s(17494) s(17501) =< s(17488)*(4/11)+s(17491)*(1/11)+s(17494) s(17496) =< s(17488)*(4/11)+s(17491)*(1/11)+s(17494) s(17504) =< s(17488)*(5/13)+s(17491)*(2/13)+s(17495) s(17503) =< s(17488)*(5/13)+s(17491)*(2/13)+s(17495) s(17502) =< s(17488)*(5/13)+s(17491)*(2/13)+s(17495) s(17501) =< s(17488)*(5/13)+s(17491)*(2/13)+s(17495) s(17496) =< s(17488)*(5/13)+s(17491)*(2/13)+s(17495) s(17508) =< s(17500)*s(17505) s(17509) =< s(17498)*s(17505) s(17510) =< s(17497)*s(17506) s(17511) =< s(17497)*s(17505) s(17512) =< s(17496)*s(17505) s(17513) =< s(17502)*s(17507) s(17514) =< s(17502)*s(17507) s(17515) =< s(17503)*s(17507) s(17516) =< s(17504)*s(17507) s(17517) =< s(17508) s(17518) =< s(17505) s(17519) =< s(17517)*s(17505) s(17520) =< s(17517)*s(17518) s(17521) =< s(17509) s(17522) =< s(17521)*s(17505) s(17523) =< s(17521)*s(17518) s(17524) =< s(17510) s(17525) =< s(17506) s(17526) =< s(17524)*s(17506) s(17527) =< s(17524)*s(17525) s(17528) =< s(17511) s(17529) =< s(17528)*s(17505) s(17530) =< s(17528)*s(17518) s(17531) =< s(17512) s(17532) =< s(17531)*s(17505) s(17533) =< s(17531)*s(17518) s(17534) =< s(17513) s(17535) =< s(17516) s(17536) =< s(17507) s(17537) =< s(17535)*s(17507) s(17538) =< s(17535)*s(17536) s(17539) =< s(17535)*aux(664) with precondition: [V>=2,Out>=0,V>=Out+1] * Chain [111]: 10*s(17564)+49*s(17565)+16*s(17566)+16*s(17567)+10*s(17568)+1*s(17569)+22*s(17570)+11*s(17571)+33*s(17572)+1*s(17582)+1*s(17583)+30*s(17585)+3*s(17587)+3*s(17588)+20*s(17589)+2*s(17590)+2*s(17591)+30*s(17592)+3*s(17594)+3*s(17595)+21*s(17596)+2*s(17597)+2*s(17598)+62*s(17599)+6*s(17600)+6*s(17601)+2*s(17602)+44*s(17603)+4*s(17605)+3*s(17606)+1*s(17607)+1*s(17611)+1*s(17612)+10*s(17614)+1*s(17616)+1*s(17617)+9 Such that:s(17613) =< 2 aux(666) =< V s(17556) =< 2*V+1 s(17557) =< V/2 s(17558) =< 2/3*V s(17559) =< 2/3*V+1/3 s(17560) =< 3/5*V s(17561) =< 3/7*V s(17562) =< 3/11*V s(17563) =< 3/13*V s(17614) =< s(17613) s(17615) =< s(17613) s(17616) =< s(17614)*s(17613) s(17617) =< s(17614)*s(17615) s(17565) =< aux(666) s(17575) =< aux(666) s(17611) =< s(17565)*aux(666) s(17612) =< s(17565)*s(17575) s(17564) =< aux(666) s(17566) =< aux(666) s(17567) =< aux(666) s(17568) =< aux(666) s(17559) =< aux(666) s(17559) =< s(17556) s(17566) =< s(17557) s(17567) =< s(17558) s(17569) =< s(17560) s(17570) =< s(17561) s(17571) =< s(17562) s(17572) =< s(17563) s(17573) =< aux(666)+2 s(17574) =< aux(666)+3 s(17567) =< s(17556)*(1/3)+s(17558) s(17568) =< s(17556)*(1/3)+s(17558) s(17566) =< s(17556)*(1/2)+s(17557) s(17567) =< s(17556)*(1/2)+s(17557) s(17568) =< s(17556)*(1/2)+s(17557) s(17569) =< s(17556)*(1/5)+s(17560) s(17564) =< s(17556)*(1/5)+s(17560) s(17570) =< s(17556)*(2/7)+s(17561) s(17569) =< s(17556)*(2/7)+s(17561) s(17564) =< s(17556)*(2/7)+s(17561) s(17571) =< s(17556)*(4/11)+s(17559)*(1/11)+s(17562) s(17570) =< s(17556)*(4/11)+s(17559)*(1/11)+s(17562) s(17569) =< s(17556)*(4/11)+s(17559)*(1/11)+s(17562) s(17564) =< s(17556)*(4/11)+s(17559)*(1/11)+s(17562) s(17572) =< s(17556)*(5/13)+s(17559)*(2/13)+s(17563) s(17571) =< s(17556)*(5/13)+s(17559)*(2/13)+s(17563) s(17570) =< s(17556)*(5/13)+s(17559)*(2/13)+s(17563) s(17569) =< s(17556)*(5/13)+s(17559)*(2/13)+s(17563) s(17564) =< s(17556)*(5/13)+s(17559)*(2/13)+s(17563) s(17576) =< s(17568)*s(17573) s(17577) =< s(17566)*s(17573) s(17578) =< s(17565)*s(17574) s(17579) =< s(17565)*s(17573) s(17580) =< s(17564)*s(17573) s(17581) =< s(17570)*s(17575) s(17582) =< s(17570)*s(17575) s(17583) =< s(17571)*s(17575) s(17584) =< s(17572)*s(17575) s(17585) =< s(17576) s(17586) =< s(17573) s(17587) =< s(17585)*s(17573) s(17588) =< s(17585)*s(17586) s(17589) =< s(17577) s(17590) =< s(17589)*s(17573) s(17591) =< s(17589)*s(17586) s(17592) =< s(17578) s(17593) =< s(17574) s(17594) =< s(17592)*s(17574) s(17595) =< s(17592)*s(17593) s(17596) =< s(17579) s(17597) =< s(17596)*s(17573) s(17598) =< s(17596)*s(17586) s(17599) =< s(17580) s(17600) =< s(17599)*s(17573) s(17601) =< s(17599)*s(17586) s(17602) =< s(17581) s(17603) =< s(17584) s(17604) =< s(17575) s(17605) =< s(17603)*s(17575) s(17606) =< s(17603)*s(17604) s(17607) =< s(17603)*aux(666) with precondition: [V>=2,Out>=1,V>=Out] * Chain [110]: 30*s(17627)+147*s(17628)+48*s(17629)+48*s(17630)+30*s(17631)+3*s(17632)+66*s(17633)+33*s(17634)+99*s(17635)+3*s(17645)+3*s(17646)+90*s(17648)+9*s(17650)+9*s(17651)+60*s(17652)+6*s(17653)+6*s(17654)+90*s(17655)+9*s(17657)+9*s(17658)+63*s(17659)+6*s(17660)+6*s(17661)+186*s(17662)+18*s(17663)+18*s(17664)+6*s(17665)+132*s(17666)+12*s(17668)+9*s(17669)+3*s(17670)+3*s(17727)+3*s(17728)+9 Such that:aux(668) =< V aux(669) =< 2*V+1 aux(670) =< V/2 aux(671) =< 2/3*V aux(672) =< 2/3*V+1/3 aux(673) =< 3/5*V aux(674) =< 3/7*V aux(675) =< 3/11*V aux(676) =< 3/13*V s(17622) =< aux(672) s(17627) =< aux(668) s(17628) =< aux(668) s(17629) =< aux(668) s(17630) =< aux(668) s(17631) =< aux(668) s(17622) =< aux(668) s(17622) =< aux(669) s(17629) =< aux(670) s(17630) =< aux(671) s(17632) =< aux(673) s(17633) =< aux(674) s(17634) =< aux(675) s(17635) =< aux(676) s(17636) =< aux(668)+2 s(17637) =< aux(668)+3 s(17638) =< aux(668) s(17630) =< aux(669)*(1/3)+aux(671) s(17631) =< aux(669)*(1/3)+aux(671) s(17629) =< aux(669)*(1/2)+aux(670) s(17630) =< aux(669)*(1/2)+aux(670) s(17631) =< aux(669)*(1/2)+aux(670) s(17632) =< aux(669)*(1/5)+aux(673) s(17627) =< aux(669)*(1/5)+aux(673) s(17633) =< aux(669)*(2/7)+aux(674) s(17632) =< aux(669)*(2/7)+aux(674) s(17627) =< aux(669)*(2/7)+aux(674) s(17634) =< aux(669)*(4/11)+s(17622)*(1/11)+aux(675) s(17633) =< aux(669)*(4/11)+s(17622)*(1/11)+aux(675) s(17632) =< aux(669)*(4/11)+s(17622)*(1/11)+aux(675) s(17627) =< aux(669)*(4/11)+s(17622)*(1/11)+aux(675) s(17635) =< aux(669)*(5/13)+s(17622)*(2/13)+aux(676) s(17634) =< aux(669)*(5/13)+s(17622)*(2/13)+aux(676) s(17633) =< aux(669)*(5/13)+s(17622)*(2/13)+aux(676) s(17632) =< aux(669)*(5/13)+s(17622)*(2/13)+aux(676) s(17627) =< aux(669)*(5/13)+s(17622)*(2/13)+aux(676) s(17639) =< s(17631)*s(17636) s(17640) =< s(17629)*s(17636) s(17641) =< s(17628)*s(17637) s(17642) =< s(17628)*s(17636) s(17643) =< s(17627)*s(17636) s(17644) =< s(17633)*s(17638) s(17645) =< s(17633)*s(17638) s(17646) =< s(17634)*s(17638) s(17647) =< s(17635)*s(17638) s(17648) =< s(17639) s(17649) =< s(17636) s(17650) =< s(17648)*s(17636) s(17651) =< s(17648)*s(17649) s(17652) =< s(17640) s(17653) =< s(17652)*s(17636) s(17654) =< s(17652)*s(17649) s(17655) =< s(17641) s(17656) =< s(17637) s(17657) =< s(17655)*s(17637) s(17658) =< s(17655)*s(17656) s(17659) =< s(17642) s(17660) =< s(17659)*s(17636) s(17661) =< s(17659)*s(17649) s(17662) =< s(17643) s(17663) =< s(17662)*s(17636) s(17664) =< s(17662)*s(17649) s(17665) =< s(17644) s(17666) =< s(17647) s(17667) =< s(17638) s(17668) =< s(17666)*s(17638) s(17669) =< s(17666)*s(17667) s(17670) =< s(17666)*aux(668) s(17727) =< s(17628)*aux(668) s(17728) =< s(17628)*s(17638) with precondition: [Out=0,V>=0] * Chain [109]: 10*s(17796)+39*s(17797)+16*s(17798)+16*s(17799)+10*s(17800)+1*s(17801)+22*s(17802)+11*s(17803)+33*s(17804)+1*s(17814)+1*s(17815)+30*s(17817)+3*s(17819)+3*s(17820)+20*s(17821)+2*s(17822)+2*s(17823)+30*s(17824)+3*s(17826)+3*s(17827)+21*s(17828)+2*s(17829)+2*s(17830)+62*s(17831)+6*s(17832)+6*s(17833)+2*s(17834)+44*s(17835)+4*s(17837)+3*s(17838)+1*s(17839)+9 Such that:s(17787) =< V s(17788) =< 2*V+1 s(17789) =< V/2 s(17790) =< 2/3*V s(17791) =< 2/3*V+1/3 s(17792) =< 3/5*V s(17793) =< 3/7*V s(17794) =< 3/11*V s(17795) =< 3/13*V s(17796) =< s(17787) s(17797) =< s(17787) s(17798) =< s(17787) s(17799) =< s(17787) s(17800) =< s(17787) s(17791) =< s(17787) s(17791) =< s(17788) s(17798) =< s(17789) s(17799) =< s(17790) s(17801) =< s(17792) s(17802) =< s(17793) s(17803) =< s(17794) s(17804) =< s(17795) s(17805) =< s(17787)+2 s(17806) =< s(17787)+3 s(17807) =< s(17787) s(17799) =< s(17788)*(1/3)+s(17790) s(17800) =< s(17788)*(1/3)+s(17790) s(17798) =< s(17788)*(1/2)+s(17789) s(17799) =< s(17788)*(1/2)+s(17789) s(17800) =< s(17788)*(1/2)+s(17789) s(17801) =< s(17788)*(1/5)+s(17792) s(17796) =< s(17788)*(1/5)+s(17792) s(17802) =< s(17788)*(2/7)+s(17793) s(17801) =< s(17788)*(2/7)+s(17793) s(17796) =< s(17788)*(2/7)+s(17793) s(17803) =< s(17788)*(4/11)+s(17791)*(1/11)+s(17794) s(17802) =< s(17788)*(4/11)+s(17791)*(1/11)+s(17794) s(17801) =< s(17788)*(4/11)+s(17791)*(1/11)+s(17794) s(17796) =< s(17788)*(4/11)+s(17791)*(1/11)+s(17794) s(17804) =< s(17788)*(5/13)+s(17791)*(2/13)+s(17795) s(17803) =< s(17788)*(5/13)+s(17791)*(2/13)+s(17795) s(17802) =< s(17788)*(5/13)+s(17791)*(2/13)+s(17795) s(17801) =< s(17788)*(5/13)+s(17791)*(2/13)+s(17795) s(17796) =< s(17788)*(5/13)+s(17791)*(2/13)+s(17795) s(17808) =< s(17800)*s(17805) s(17809) =< s(17798)*s(17805) s(17810) =< s(17797)*s(17806) s(17811) =< s(17797)*s(17805) s(17812) =< s(17796)*s(17805) s(17813) =< s(17802)*s(17807) s(17814) =< s(17802)*s(17807) s(17815) =< s(17803)*s(17807) s(17816) =< s(17804)*s(17807) s(17817) =< s(17808) s(17818) =< s(17805) s(17819) =< s(17817)*s(17805) s(17820) =< s(17817)*s(17818) s(17821) =< s(17809) s(17822) =< s(17821)*s(17805) s(17823) =< s(17821)*s(17818) s(17824) =< s(17810) s(17825) =< s(17806) s(17826) =< s(17824)*s(17806) s(17827) =< s(17824)*s(17825) s(17828) =< s(17811) s(17829) =< s(17828)*s(17805) s(17830) =< s(17828)*s(17818) s(17831) =< s(17812) s(17832) =< s(17831)*s(17805) s(17833) =< s(17831)*s(17818) s(17834) =< s(17813) s(17835) =< s(17816) s(17836) =< s(17807) s(17837) =< s(17835)*s(17807) s(17838) =< s(17835)*s(17836) s(17839) =< s(17835)*s(17787) with precondition: [Out=1,V>=1] #### Cost of chains of fun9(V,V6,Out): * Chain [122]: 10*s(17849)+49*s(17850)+16*s(17851)+16*s(17852)+10*s(17853)+1*s(17854)+22*s(17855)+11*s(17856)+33*s(17857)+1*s(17867)+1*s(17868)+30*s(17870)+3*s(17872)+3*s(17873)+20*s(17874)+2*s(17875)+2*s(17876)+30*s(17877)+3*s(17879)+3*s(17880)+21*s(17881)+2*s(17882)+2*s(17883)+62*s(17884)+6*s(17885)+6*s(17886)+2*s(17887)+44*s(17888)+4*s(17890)+3*s(17891)+1*s(17892)+1*s(17896)+1*s(17897)+10*s(17907)+39*s(17908)+16*s(17909)+16*s(17910)+10*s(17911)+1*s(17912)+22*s(17913)+11*s(17914)+33*s(17915)+1*s(17925)+1*s(17926)+30*s(17928)+3*s(17930)+3*s(17931)+20*s(17932)+2*s(17933)+2*s(17934)+30*s(17935)+3*s(17937)+3*s(17938)+21*s(17939)+2*s(17940)+2*s(17941)+62*s(17942)+6*s(17943)+6*s(17944)+2*s(17945)+44*s(17946)+4*s(17948)+3*s(17949)+1*s(17950)+100*s(17952)+10*s(17954)+10*s(17955)+8 Such that:aux(677) =< V s(17841) =< 2*V+1 s(17842) =< V/2 s(17843) =< 2/3*V s(17844) =< 2/3*V+1/3 s(17845) =< 3/5*V s(17846) =< 3/7*V s(17847) =< 3/11*V s(17848) =< 3/13*V s(17898) =< V6 s(17899) =< 2*V6+1 s(17900) =< V6/2 s(17901) =< 2/3*V6 s(17902) =< 2/3*V6+1/3 s(17903) =< 3/5*V6 s(17904) =< 3/7*V6 s(17905) =< 3/11*V6 s(17906) =< 3/13*V6 aux(678) =< 2 s(17952) =< aux(678) s(17953) =< aux(678) s(17954) =< s(17952)*aux(678) s(17955) =< s(17952)*s(17953) s(17907) =< s(17898) s(17908) =< s(17898) s(17909) =< s(17898) s(17910) =< s(17898) s(17911) =< s(17898) s(17902) =< s(17898) s(17902) =< s(17899) s(17909) =< s(17900) s(17910) =< s(17901) s(17912) =< s(17903) s(17913) =< s(17904) s(17914) =< s(17905) s(17915) =< s(17906) s(17916) =< s(17898)+2 s(17917) =< s(17898)+3 s(17918) =< s(17898) s(17910) =< s(17899)*(1/3)+s(17901) s(17911) =< s(17899)*(1/3)+s(17901) s(17909) =< s(17899)*(1/2)+s(17900) s(17910) =< s(17899)*(1/2)+s(17900) s(17911) =< s(17899)*(1/2)+s(17900) s(17912) =< s(17899)*(1/5)+s(17903) s(17907) =< s(17899)*(1/5)+s(17903) s(17913) =< s(17899)*(2/7)+s(17904) s(17912) =< s(17899)*(2/7)+s(17904) s(17907) =< s(17899)*(2/7)+s(17904) s(17914) =< s(17899)*(4/11)+s(17902)*(1/11)+s(17905) s(17913) =< s(17899)*(4/11)+s(17902)*(1/11)+s(17905) s(17912) =< s(17899)*(4/11)+s(17902)*(1/11)+s(17905) s(17907) =< s(17899)*(4/11)+s(17902)*(1/11)+s(17905) s(17915) =< s(17899)*(5/13)+s(17902)*(2/13)+s(17906) s(17914) =< s(17899)*(5/13)+s(17902)*(2/13)+s(17906) s(17913) =< s(17899)*(5/13)+s(17902)*(2/13)+s(17906) s(17912) =< s(17899)*(5/13)+s(17902)*(2/13)+s(17906) s(17907) =< s(17899)*(5/13)+s(17902)*(2/13)+s(17906) s(17919) =< s(17911)*s(17916) s(17920) =< s(17909)*s(17916) s(17921) =< s(17908)*s(17917) s(17922) =< s(17908)*s(17916) s(17923) =< s(17907)*s(17916) s(17924) =< s(17913)*s(17918) s(17925) =< s(17913)*s(17918) s(17926) =< s(17914)*s(17918) s(17927) =< s(17915)*s(17918) s(17928) =< s(17919) s(17929) =< s(17916) s(17930) =< s(17928)*s(17916) s(17931) =< s(17928)*s(17929) s(17932) =< s(17920) s(17933) =< s(17932)*s(17916) s(17934) =< s(17932)*s(17929) s(17935) =< s(17921) s(17936) =< s(17917) s(17937) =< s(17935)*s(17917) s(17938) =< s(17935)*s(17936) s(17939) =< s(17922) s(17940) =< s(17939)*s(17916) s(17941) =< s(17939)*s(17929) s(17942) =< s(17923) s(17943) =< s(17942)*s(17916) s(17944) =< s(17942)*s(17929) s(17945) =< s(17924) s(17946) =< s(17927) s(17947) =< s(17918) s(17948) =< s(17946)*s(17918) s(17949) =< s(17946)*s(17947) s(17950) =< s(17946)*s(17898) s(17850) =< aux(677) s(17860) =< aux(677) s(17896) =< s(17850)*aux(677) s(17897) =< s(17850)*s(17860) s(17849) =< aux(677) s(17851) =< aux(677) s(17852) =< aux(677) s(17853) =< aux(677) s(17844) =< aux(677) s(17844) =< s(17841) s(17851) =< s(17842) s(17852) =< s(17843) s(17854) =< s(17845) s(17855) =< s(17846) s(17856) =< s(17847) s(17857) =< s(17848) s(17858) =< aux(677)+2 s(17859) =< aux(677)+3 s(17852) =< s(17841)*(1/3)+s(17843) s(17853) =< s(17841)*(1/3)+s(17843) s(17851) =< s(17841)*(1/2)+s(17842) s(17852) =< s(17841)*(1/2)+s(17842) s(17853) =< s(17841)*(1/2)+s(17842) s(17854) =< s(17841)*(1/5)+s(17845) s(17849) =< s(17841)*(1/5)+s(17845) s(17855) =< s(17841)*(2/7)+s(17846) s(17854) =< s(17841)*(2/7)+s(17846) s(17849) =< s(17841)*(2/7)+s(17846) s(17856) =< s(17841)*(4/11)+s(17844)*(1/11)+s(17847) s(17855) =< s(17841)*(4/11)+s(17844)*(1/11)+s(17847) s(17854) =< s(17841)*(4/11)+s(17844)*(1/11)+s(17847) s(17849) =< s(17841)*(4/11)+s(17844)*(1/11)+s(17847) s(17857) =< s(17841)*(5/13)+s(17844)*(2/13)+s(17848) s(17856) =< s(17841)*(5/13)+s(17844)*(2/13)+s(17848) s(17855) =< s(17841)*(5/13)+s(17844)*(2/13)+s(17848) s(17854) =< s(17841)*(5/13)+s(17844)*(2/13)+s(17848) s(17849) =< s(17841)*(5/13)+s(17844)*(2/13)+s(17848) s(17861) =< s(17853)*s(17858) s(17862) =< s(17851)*s(17858) s(17863) =< s(17850)*s(17859) s(17864) =< s(17850)*s(17858) s(17865) =< s(17849)*s(17858) s(17866) =< s(17855)*s(17860) s(17867) =< s(17855)*s(17860) s(17868) =< s(17856)*s(17860) s(17869) =< s(17857)*s(17860) s(17870) =< s(17861) s(17871) =< s(17858) s(17872) =< s(17870)*s(17858) s(17873) =< s(17870)*s(17871) s(17874) =< s(17862) s(17875) =< s(17874)*s(17858) s(17876) =< s(17874)*s(17871) s(17877) =< s(17863) s(17878) =< s(17859) s(17879) =< s(17877)*s(17859) s(17880) =< s(17877)*s(17878) s(17881) =< s(17864) s(17882) =< s(17881)*s(17858) s(17883) =< s(17881)*s(17871) s(17884) =< s(17865) s(17885) =< s(17884)*s(17858) s(17886) =< s(17884)*s(17871) s(17887) =< s(17866) s(17888) =< s(17869) s(17889) =< s(17860) s(17890) =< s(17888)*s(17860) s(17891) =< s(17888)*s(17889) s(17892) =< s(17888)*aux(677) with precondition: [V>=2,V6>=0,Out>=0,V>=Out+1] * Chain [121]: 10*s(17980)+49*s(17981)+16*s(17982)+16*s(17983)+10*s(17984)+1*s(17985)+22*s(17986)+11*s(17987)+33*s(17988)+1*s(17998)+1*s(17999)+30*s(18001)+3*s(18003)+3*s(18004)+20*s(18005)+2*s(18006)+2*s(18007)+30*s(18008)+3*s(18010)+3*s(18011)+21*s(18012)+2*s(18013)+2*s(18014)+62*s(18015)+6*s(18016)+6*s(18017)+2*s(18018)+44*s(18019)+4*s(18021)+3*s(18022)+1*s(18023)+40*s(18033)+156*s(18034)+64*s(18035)+64*s(18036)+40*s(18037)+4*s(18038)+88*s(18039)+44*s(18040)+132*s(18041)+4*s(18051)+4*s(18052)+120*s(18054)+12*s(18056)+12*s(18057)+80*s(18058)+8*s(18059)+8*s(18060)+120*s(18061)+12*s(18063)+12*s(18064)+84*s(18065)+8*s(18066)+8*s(18067)+248*s(18068)+24*s(18069)+24*s(18070)+8*s(18071)+176*s(18072)+16*s(18074)+12*s(18075)+4*s(18076)+1*s(18080)+1*s(18081)+20*s(18242)+2*s(18244)+2*s(18245)+8 Such that:aux(679) =< V s(17972) =< 2*V+1 s(17973) =< V/2 s(17974) =< 2/3*V s(17975) =< 2/3*V+1/3 s(17976) =< 3/5*V s(17977) =< 3/7*V s(17978) =< 3/11*V s(17979) =< 3/13*V aux(680) =< 2 aux(681) =< V6 aux(682) =< 2*V6+1 aux(683) =< V6/2 aux(684) =< 2/3*V6 aux(685) =< 2/3*V6+1/3 aux(686) =< 3/5*V6 aux(687) =< 3/7*V6 aux(688) =< 3/11*V6 aux(689) =< 3/13*V6 s(18028) =< aux(685) s(18242) =< aux(680) s(18243) =< aux(680) s(18244) =< s(18242)*aux(680) s(18245) =< s(18242)*s(18243) s(18033) =< aux(681) s(18034) =< aux(681) s(18035) =< aux(681) s(18036) =< aux(681) s(18037) =< aux(681) s(18028) =< aux(681) s(18028) =< aux(682) s(18035) =< aux(683) s(18036) =< aux(684) s(18038) =< aux(686) s(18039) =< aux(687) s(18040) =< aux(688) s(18041) =< aux(689) s(18042) =< aux(681)+2 s(18043) =< aux(681)+3 s(18044) =< aux(681) s(18036) =< aux(682)*(1/3)+aux(684) s(18037) =< aux(682)*(1/3)+aux(684) s(18035) =< aux(682)*(1/2)+aux(683) s(18036) =< aux(682)*(1/2)+aux(683) s(18037) =< aux(682)*(1/2)+aux(683) s(18038) =< aux(682)*(1/5)+aux(686) s(18033) =< aux(682)*(1/5)+aux(686) s(18039) =< aux(682)*(2/7)+aux(687) s(18038) =< aux(682)*(2/7)+aux(687) s(18033) =< aux(682)*(2/7)+aux(687) s(18040) =< aux(682)*(4/11)+s(18028)*(1/11)+aux(688) s(18039) =< aux(682)*(4/11)+s(18028)*(1/11)+aux(688) s(18038) =< aux(682)*(4/11)+s(18028)*(1/11)+aux(688) s(18033) =< aux(682)*(4/11)+s(18028)*(1/11)+aux(688) s(18041) =< aux(682)*(5/13)+s(18028)*(2/13)+aux(689) s(18040) =< aux(682)*(5/13)+s(18028)*(2/13)+aux(689) s(18039) =< aux(682)*(5/13)+s(18028)*(2/13)+aux(689) s(18038) =< aux(682)*(5/13)+s(18028)*(2/13)+aux(689) s(18033) =< aux(682)*(5/13)+s(18028)*(2/13)+aux(689) s(18045) =< s(18037)*s(18042) s(18046) =< s(18035)*s(18042) s(18047) =< s(18034)*s(18043) s(18048) =< s(18034)*s(18042) s(18049) =< s(18033)*s(18042) s(18050) =< s(18039)*s(18044) s(18051) =< s(18039)*s(18044) s(18052) =< s(18040)*s(18044) s(18053) =< s(18041)*s(18044) s(18054) =< s(18045) s(18055) =< s(18042) s(18056) =< s(18054)*s(18042) s(18057) =< s(18054)*s(18055) s(18058) =< s(18046) s(18059) =< s(18058)*s(18042) s(18060) =< s(18058)*s(18055) s(18061) =< s(18047) s(18062) =< s(18043) s(18063) =< s(18061)*s(18043) s(18064) =< s(18061)*s(18062) s(18065) =< s(18048) s(18066) =< s(18065)*s(18042) s(18067) =< s(18065)*s(18055) s(18068) =< s(18049) s(18069) =< s(18068)*s(18042) s(18070) =< s(18068)*s(18055) s(18071) =< s(18050) s(18072) =< s(18053) s(18073) =< s(18044) s(18074) =< s(18072)*s(18044) s(18075) =< s(18072)*s(18073) s(18076) =< s(18072)*aux(681) s(17981) =< aux(679) s(17991) =< aux(679) s(18080) =< s(17981)*aux(679) s(18081) =< s(17981)*s(17991) s(17980) =< aux(679) s(17982) =< aux(679) s(17983) =< aux(679) s(17984) =< aux(679) s(17975) =< aux(679) s(17975) =< s(17972) s(17982) =< s(17973) s(17983) =< s(17974) s(17985) =< s(17976) s(17986) =< s(17977) s(17987) =< s(17978) s(17988) =< s(17979) s(17989) =< aux(679)+2 s(17990) =< aux(679)+3 s(17983) =< s(17972)*(1/3)+s(17974) s(17984) =< s(17972)*(1/3)+s(17974) s(17982) =< s(17972)*(1/2)+s(17973) s(17983) =< s(17972)*(1/2)+s(17973) s(17984) =< s(17972)*(1/2)+s(17973) s(17985) =< s(17972)*(1/5)+s(17976) s(17980) =< s(17972)*(1/5)+s(17976) s(17986) =< s(17972)*(2/7)+s(17977) s(17985) =< s(17972)*(2/7)+s(17977) s(17980) =< s(17972)*(2/7)+s(17977) s(17987) =< s(17972)*(4/11)+s(17975)*(1/11)+s(17978) s(17986) =< s(17972)*(4/11)+s(17975)*(1/11)+s(17978) s(17985) =< s(17972)*(4/11)+s(17975)*(1/11)+s(17978) s(17980) =< s(17972)*(4/11)+s(17975)*(1/11)+s(17978) s(17988) =< s(17972)*(5/13)+s(17975)*(2/13)+s(17979) s(17987) =< s(17972)*(5/13)+s(17975)*(2/13)+s(17979) s(17986) =< s(17972)*(5/13)+s(17975)*(2/13)+s(17979) s(17985) =< s(17972)*(5/13)+s(17975)*(2/13)+s(17979) s(17980) =< s(17972)*(5/13)+s(17975)*(2/13)+s(17979) s(17992) =< s(17984)*s(17989) s(17993) =< s(17982)*s(17989) s(17994) =< s(17981)*s(17990) s(17995) =< s(17981)*s(17989) s(17996) =< s(17980)*s(17989) s(17997) =< s(17986)*s(17991) s(17998) =< s(17986)*s(17991) s(17999) =< s(17987)*s(17991) s(18000) =< s(17988)*s(17991) s(18001) =< s(17992) s(18002) =< s(17989) s(18003) =< s(18001)*s(17989) s(18004) =< s(18001)*s(18002) s(18005) =< s(17993) s(18006) =< s(18005)*s(17989) s(18007) =< s(18005)*s(18002) s(18008) =< s(17994) s(18009) =< s(17990) s(18010) =< s(18008)*s(17990) s(18011) =< s(18008)*s(18009) s(18012) =< s(17995) s(18013) =< s(18012)*s(17989) s(18014) =< s(18012)*s(18002) s(18015) =< s(17996) s(18016) =< s(18015)*s(17989) s(18017) =< s(18015)*s(18002) s(18018) =< s(17997) s(18019) =< s(18000) s(18020) =< s(17991) s(18021) =< s(18019)*s(17991) s(18022) =< s(18019)*s(18020) s(18023) =< s(18019)*aux(679) with precondition: [V>=2,V6>=1,Out>=0,V+V6>=Out+1] * Chain [120]: 10*s(18260)+49*s(18261)+16*s(18262)+16*s(18263)+10*s(18264)+1*s(18265)+22*s(18266)+11*s(18267)+33*s(18268)+1*s(18278)+1*s(18279)+30*s(18281)+3*s(18283)+3*s(18284)+20*s(18285)+2*s(18286)+2*s(18287)+30*s(18288)+3*s(18290)+3*s(18291)+21*s(18292)+2*s(18293)+2*s(18294)+62*s(18295)+6*s(18296)+6*s(18297)+2*s(18298)+44*s(18299)+4*s(18301)+3*s(18302)+1*s(18303)+20*s(18313)+78*s(18314)+32*s(18315)+32*s(18316)+20*s(18317)+2*s(18318)+44*s(18319)+22*s(18320)+66*s(18321)+2*s(18331)+2*s(18332)+60*s(18334)+6*s(18336)+6*s(18337)+40*s(18338)+4*s(18339)+4*s(18340)+60*s(18341)+6*s(18343)+6*s(18344)+42*s(18345)+4*s(18346)+4*s(18347)+124*s(18348)+12*s(18349)+12*s(18350)+4*s(18351)+88*s(18352)+8*s(18354)+6*s(18355)+2*s(18356)+1*s(18360)+1*s(18361)+20*s(18416)+2*s(18418)+2*s(18419)+8 Such that:aux(690) =< V s(18252) =< 2*V+1 s(18253) =< V/2 s(18254) =< 2/3*V s(18255) =< 2/3*V+1/3 s(18256) =< 3/5*V s(18257) =< 3/7*V s(18258) =< 3/11*V s(18259) =< 3/13*V aux(691) =< 2 aux(692) =< V6 aux(693) =< 2*V6+1 aux(694) =< V6/2 aux(695) =< 2/3*V6 aux(696) =< 2/3*V6+1/3 aux(697) =< 3/5*V6 aux(698) =< 3/7*V6 aux(699) =< 3/11*V6 aux(700) =< 3/13*V6 s(18308) =< aux(696) s(18416) =< aux(691) s(18417) =< aux(691) s(18418) =< s(18416)*aux(691) s(18419) =< s(18416)*s(18417) s(18313) =< aux(692) s(18314) =< aux(692) s(18315) =< aux(692) s(18316) =< aux(692) s(18317) =< aux(692) s(18308) =< aux(692) s(18308) =< aux(693) s(18315) =< aux(694) s(18316) =< aux(695) s(18318) =< aux(697) s(18319) =< aux(698) s(18320) =< aux(699) s(18321) =< aux(700) s(18322) =< aux(692)+2 s(18323) =< aux(692)+3 s(18324) =< aux(692) s(18316) =< aux(693)*(1/3)+aux(695) s(18317) =< aux(693)*(1/3)+aux(695) s(18315) =< aux(693)*(1/2)+aux(694) s(18316) =< aux(693)*(1/2)+aux(694) s(18317) =< aux(693)*(1/2)+aux(694) s(18318) =< aux(693)*(1/5)+aux(697) s(18313) =< aux(693)*(1/5)+aux(697) s(18319) =< aux(693)*(2/7)+aux(698) s(18318) =< aux(693)*(2/7)+aux(698) s(18313) =< aux(693)*(2/7)+aux(698) s(18320) =< aux(693)*(4/11)+s(18308)*(1/11)+aux(699) s(18319) =< aux(693)*(4/11)+s(18308)*(1/11)+aux(699) s(18318) =< aux(693)*(4/11)+s(18308)*(1/11)+aux(699) s(18313) =< aux(693)*(4/11)+s(18308)*(1/11)+aux(699) s(18321) =< aux(693)*(5/13)+s(18308)*(2/13)+aux(700) s(18320) =< aux(693)*(5/13)+s(18308)*(2/13)+aux(700) s(18319) =< aux(693)*(5/13)+s(18308)*(2/13)+aux(700) s(18318) =< aux(693)*(5/13)+s(18308)*(2/13)+aux(700) s(18313) =< aux(693)*(5/13)+s(18308)*(2/13)+aux(700) s(18325) =< s(18317)*s(18322) s(18326) =< s(18315)*s(18322) s(18327) =< s(18314)*s(18323) s(18328) =< s(18314)*s(18322) s(18329) =< s(18313)*s(18322) s(18330) =< s(18319)*s(18324) s(18331) =< s(18319)*s(18324) s(18332) =< s(18320)*s(18324) s(18333) =< s(18321)*s(18324) s(18334) =< s(18325) s(18335) =< s(18322) s(18336) =< s(18334)*s(18322) s(18337) =< s(18334)*s(18335) s(18338) =< s(18326) s(18339) =< s(18338)*s(18322) s(18340) =< s(18338)*s(18335) s(18341) =< s(18327) s(18342) =< s(18323) s(18343) =< s(18341)*s(18323) s(18344) =< s(18341)*s(18342) s(18345) =< s(18328) s(18346) =< s(18345)*s(18322) s(18347) =< s(18345)*s(18335) s(18348) =< s(18329) s(18349) =< s(18348)*s(18322) s(18350) =< s(18348)*s(18335) s(18351) =< s(18330) s(18352) =< s(18333) s(18353) =< s(18324) s(18354) =< s(18352)*s(18324) s(18355) =< s(18352)*s(18353) s(18356) =< s(18352)*aux(692) s(18261) =< aux(690) s(18271) =< aux(690) s(18360) =< s(18261)*aux(690) s(18361) =< s(18261)*s(18271) s(18260) =< aux(690) s(18262) =< aux(690) s(18263) =< aux(690) s(18264) =< aux(690) s(18255) =< aux(690) s(18255) =< s(18252) s(18262) =< s(18253) s(18263) =< s(18254) s(18265) =< s(18256) s(18266) =< s(18257) s(18267) =< s(18258) s(18268) =< s(18259) s(18269) =< aux(690)+2 s(18270) =< aux(690)+3 s(18263) =< s(18252)*(1/3)+s(18254) s(18264) =< s(18252)*(1/3)+s(18254) s(18262) =< s(18252)*(1/2)+s(18253) s(18263) =< s(18252)*(1/2)+s(18253) s(18264) =< s(18252)*(1/2)+s(18253) s(18265) =< s(18252)*(1/5)+s(18256) s(18260) =< s(18252)*(1/5)+s(18256) s(18266) =< s(18252)*(2/7)+s(18257) s(18265) =< s(18252)*(2/7)+s(18257) s(18260) =< s(18252)*(2/7)+s(18257) s(18267) =< s(18252)*(4/11)+s(18255)*(1/11)+s(18258) s(18266) =< s(18252)*(4/11)+s(18255)*(1/11)+s(18258) s(18265) =< s(18252)*(4/11)+s(18255)*(1/11)+s(18258) s(18260) =< s(18252)*(4/11)+s(18255)*(1/11)+s(18258) s(18268) =< s(18252)*(5/13)+s(18255)*(2/13)+s(18259) s(18267) =< s(18252)*(5/13)+s(18255)*(2/13)+s(18259) s(18266) =< s(18252)*(5/13)+s(18255)*(2/13)+s(18259) s(18265) =< s(18252)*(5/13)+s(18255)*(2/13)+s(18259) s(18260) =< s(18252)*(5/13)+s(18255)*(2/13)+s(18259) s(18272) =< s(18264)*s(18269) s(18273) =< s(18262)*s(18269) s(18274) =< s(18261)*s(18270) s(18275) =< s(18261)*s(18269) s(18276) =< s(18260)*s(18269) s(18277) =< s(18266)*s(18271) s(18278) =< s(18266)*s(18271) s(18279) =< s(18267)*s(18271) s(18280) =< s(18268)*s(18271) s(18281) =< s(18272) s(18282) =< s(18269) s(18283) =< s(18281)*s(18269) s(18284) =< s(18281)*s(18282) s(18285) =< s(18273) s(18286) =< s(18285)*s(18269) s(18287) =< s(18285)*s(18282) s(18288) =< s(18274) s(18289) =< s(18270) s(18290) =< s(18288)*s(18270) s(18291) =< s(18288)*s(18289) s(18292) =< s(18275) s(18293) =< s(18292)*s(18269) s(18294) =< s(18292)*s(18282) s(18295) =< s(18276) s(18296) =< s(18295)*s(18269) s(18297) =< s(18295)*s(18282) s(18298) =< s(18277) s(18299) =< s(18280) s(18300) =< s(18271) s(18301) =< s(18299)*s(18271) s(18302) =< s(18299)*s(18300) s(18303) =< s(18299)*aux(690) with precondition: [V>=2,V6>=1,Out>=1,V+V6>=Out] * Chain [119]: 10*s(18434)+49*s(18435)+16*s(18436)+16*s(18437)+10*s(18438)+1*s(18439)+22*s(18440)+11*s(18441)+33*s(18442)+1*s(18452)+1*s(18453)+30*s(18455)+3*s(18457)+3*s(18458)+20*s(18459)+2*s(18460)+2*s(18461)+30*s(18462)+3*s(18464)+3*s(18465)+21*s(18466)+2*s(18467)+2*s(18468)+62*s(18469)+6*s(18470)+6*s(18471)+2*s(18472)+44*s(18473)+4*s(18475)+3*s(18476)+1*s(18477)+1*s(18481)+1*s(18482)+10*s(18484)+1*s(18486)+1*s(18487)+8 Such that:s(18483) =< 2 aux(701) =< V s(18426) =< 2*V+1 s(18427) =< V/2 s(18428) =< 2/3*V s(18429) =< 2/3*V+1/3 s(18430) =< 3/5*V s(18431) =< 3/7*V s(18432) =< 3/11*V s(18433) =< 3/13*V s(18484) =< s(18483) s(18485) =< s(18483) s(18486) =< s(18484)*s(18483) s(18487) =< s(18484)*s(18485) s(18435) =< aux(701) s(18445) =< aux(701) s(18481) =< s(18435)*aux(701) s(18482) =< s(18435)*s(18445) s(18434) =< aux(701) s(18436) =< aux(701) s(18437) =< aux(701) s(18438) =< aux(701) s(18429) =< aux(701) s(18429) =< s(18426) s(18436) =< s(18427) s(18437) =< s(18428) s(18439) =< s(18430) s(18440) =< s(18431) s(18441) =< s(18432) s(18442) =< s(18433) s(18443) =< aux(701)+2 s(18444) =< aux(701)+3 s(18437) =< s(18426)*(1/3)+s(18428) s(18438) =< s(18426)*(1/3)+s(18428) s(18436) =< s(18426)*(1/2)+s(18427) s(18437) =< s(18426)*(1/2)+s(18427) s(18438) =< s(18426)*(1/2)+s(18427) s(18439) =< s(18426)*(1/5)+s(18430) s(18434) =< s(18426)*(1/5)+s(18430) s(18440) =< s(18426)*(2/7)+s(18431) s(18439) =< s(18426)*(2/7)+s(18431) s(18434) =< s(18426)*(2/7)+s(18431) s(18441) =< s(18426)*(4/11)+s(18429)*(1/11)+s(18432) s(18440) =< s(18426)*(4/11)+s(18429)*(1/11)+s(18432) s(18439) =< s(18426)*(4/11)+s(18429)*(1/11)+s(18432) s(18434) =< s(18426)*(4/11)+s(18429)*(1/11)+s(18432) s(18442) =< s(18426)*(5/13)+s(18429)*(2/13)+s(18433) s(18441) =< s(18426)*(5/13)+s(18429)*(2/13)+s(18433) s(18440) =< s(18426)*(5/13)+s(18429)*(2/13)+s(18433) s(18439) =< s(18426)*(5/13)+s(18429)*(2/13)+s(18433) s(18434) =< s(18426)*(5/13)+s(18429)*(2/13)+s(18433) s(18446) =< s(18438)*s(18443) s(18447) =< s(18436)*s(18443) s(18448) =< s(18435)*s(18444) s(18449) =< s(18435)*s(18443) s(18450) =< s(18434)*s(18443) s(18451) =< s(18440)*s(18445) s(18452) =< s(18440)*s(18445) s(18453) =< s(18441)*s(18445) s(18454) =< s(18442)*s(18445) s(18455) =< s(18446) s(18456) =< s(18443) s(18457) =< s(18455)*s(18443) s(18458) =< s(18455)*s(18456) s(18459) =< s(18447) s(18460) =< s(18459)*s(18443) s(18461) =< s(18459)*s(18456) s(18462) =< s(18448) s(18463) =< s(18444) s(18464) =< s(18462)*s(18444) s(18465) =< s(18462)*s(18463) s(18466) =< s(18449) s(18467) =< s(18466)*s(18443) s(18468) =< s(18466)*s(18456) s(18469) =< s(18450) s(18470) =< s(18469)*s(18443) s(18471) =< s(18469)*s(18456) s(18472) =< s(18451) s(18473) =< s(18454) s(18474) =< s(18445) s(18475) =< s(18473)*s(18445) s(18476) =< s(18473)*s(18474) s(18477) =< s(18473)*aux(701) with precondition: [V>=2,V6>=0,Out>=1,V>=Out] * Chain [118]: 50*s(18497)+285*s(18498)+80*s(18499)+80*s(18500)+50*s(18501)+5*s(18502)+110*s(18503)+55*s(18504)+165*s(18505)+5*s(18515)+5*s(18516)+150*s(18518)+15*s(18520)+15*s(18521)+100*s(18522)+10*s(18523)+10*s(18524)+150*s(18525)+15*s(18527)+15*s(18528)+105*s(18529)+10*s(18530)+10*s(18531)+310*s(18532)+30*s(18533)+30*s(18534)+10*s(18535)+220*s(18536)+20*s(18538)+15*s(18539)+5*s(18540)+20*s(18550)+78*s(18551)+32*s(18552)+32*s(18553)+20*s(18554)+2*s(18555)+44*s(18556)+22*s(18557)+66*s(18558)+2*s(18568)+2*s(18569)+60*s(18571)+6*s(18573)+6*s(18574)+40*s(18575)+4*s(18576)+4*s(18577)+60*s(18578)+6*s(18580)+6*s(18581)+42*s(18582)+4*s(18583)+4*s(18584)+124*s(18585)+12*s(18586)+12*s(18587)+4*s(18588)+88*s(18589)+8*s(18591)+6*s(18592)+2*s(18593)+9*s(18597)+9*s(18598)+8 Such that:aux(705) =< V aux(706) =< 2*V+1 aux(707) =< V/2 aux(708) =< 2/3*V aux(709) =< 2/3*V+1/3 aux(710) =< 3/5*V aux(711) =< 3/7*V aux(712) =< 3/11*V aux(713) =< 3/13*V aux(714) =< V6 aux(715) =< 2*V6+1 aux(716) =< V6/2 aux(717) =< 2/3*V6 aux(718) =< 2/3*V6+1/3 aux(719) =< 3/5*V6 aux(720) =< 3/7*V6 aux(721) =< 3/11*V6 aux(722) =< 3/13*V6 s(18492) =< aux(709) s(18545) =< aux(718) s(18497) =< aux(705) s(18498) =< aux(705) s(18499) =< aux(705) s(18500) =< aux(705) s(18501) =< aux(705) s(18492) =< aux(705) s(18492) =< aux(706) s(18499) =< aux(707) s(18500) =< aux(708) s(18502) =< aux(710) s(18503) =< aux(711) s(18504) =< aux(712) s(18505) =< aux(713) s(18506) =< aux(705)+2 s(18507) =< aux(705)+3 s(18508) =< aux(705) s(18500) =< aux(706)*(1/3)+aux(708) s(18501) =< aux(706)*(1/3)+aux(708) s(18499) =< aux(706)*(1/2)+aux(707) s(18500) =< aux(706)*(1/2)+aux(707) s(18501) =< aux(706)*(1/2)+aux(707) s(18502) =< aux(706)*(1/5)+aux(710) s(18497) =< aux(706)*(1/5)+aux(710) s(18503) =< aux(706)*(2/7)+aux(711) s(18502) =< aux(706)*(2/7)+aux(711) s(18497) =< aux(706)*(2/7)+aux(711) s(18504) =< aux(706)*(4/11)+s(18492)*(1/11)+aux(712) s(18503) =< aux(706)*(4/11)+s(18492)*(1/11)+aux(712) s(18502) =< aux(706)*(4/11)+s(18492)*(1/11)+aux(712) s(18497) =< aux(706)*(4/11)+s(18492)*(1/11)+aux(712) s(18505) =< aux(706)*(5/13)+s(18492)*(2/13)+aux(713) s(18504) =< aux(706)*(5/13)+s(18492)*(2/13)+aux(713) s(18503) =< aux(706)*(5/13)+s(18492)*(2/13)+aux(713) s(18502) =< aux(706)*(5/13)+s(18492)*(2/13)+aux(713) s(18497) =< aux(706)*(5/13)+s(18492)*(2/13)+aux(713) s(18509) =< s(18501)*s(18506) s(18510) =< s(18499)*s(18506) s(18511) =< s(18498)*s(18507) s(18512) =< s(18498)*s(18506) s(18513) =< s(18497)*s(18506) s(18514) =< s(18503)*s(18508) s(18515) =< s(18503)*s(18508) s(18516) =< s(18504)*s(18508) s(18517) =< s(18505)*s(18508) s(18518) =< s(18509) s(18519) =< s(18506) s(18520) =< s(18518)*s(18506) s(18521) =< s(18518)*s(18519) s(18522) =< s(18510) s(18523) =< s(18522)*s(18506) s(18524) =< s(18522)*s(18519) s(18525) =< s(18511) s(18526) =< s(18507) s(18527) =< s(18525)*s(18507) s(18528) =< s(18525)*s(18526) s(18529) =< s(18512) s(18530) =< s(18529)*s(18506) s(18531) =< s(18529)*s(18519) s(18532) =< s(18513) s(18533) =< s(18532)*s(18506) s(18534) =< s(18532)*s(18519) s(18535) =< s(18514) s(18536) =< s(18517) s(18537) =< s(18508) s(18538) =< s(18536)*s(18508) s(18539) =< s(18536)*s(18537) s(18540) =< s(18536)*aux(705) s(18597) =< s(18498)*aux(705) s(18598) =< s(18498)*s(18508) s(18550) =< aux(714) s(18551) =< aux(714) s(18552) =< aux(714) s(18553) =< aux(714) s(18554) =< aux(714) s(18545) =< aux(714) s(18545) =< aux(715) s(18552) =< aux(716) s(18553) =< aux(717) s(18555) =< aux(719) s(18556) =< aux(720) s(18557) =< aux(721) s(18558) =< aux(722) s(18559) =< aux(714)+2 s(18560) =< aux(714)+3 s(18561) =< aux(714) s(18553) =< aux(715)*(1/3)+aux(717) s(18554) =< aux(715)*(1/3)+aux(717) s(18552) =< aux(715)*(1/2)+aux(716) s(18553) =< aux(715)*(1/2)+aux(716) s(18554) =< aux(715)*(1/2)+aux(716) s(18555) =< aux(715)*(1/5)+aux(719) s(18550) =< aux(715)*(1/5)+aux(719) s(18556) =< aux(715)*(2/7)+aux(720) s(18555) =< aux(715)*(2/7)+aux(720) s(18550) =< aux(715)*(2/7)+aux(720) s(18557) =< aux(715)*(4/11)+s(18545)*(1/11)+aux(721) s(18556) =< aux(715)*(4/11)+s(18545)*(1/11)+aux(721) s(18555) =< aux(715)*(4/11)+s(18545)*(1/11)+aux(721) s(18550) =< aux(715)*(4/11)+s(18545)*(1/11)+aux(721) s(18558) =< aux(715)*(5/13)+s(18545)*(2/13)+aux(722) s(18557) =< aux(715)*(5/13)+s(18545)*(2/13)+aux(722) s(18556) =< aux(715)*(5/13)+s(18545)*(2/13)+aux(722) s(18555) =< aux(715)*(5/13)+s(18545)*(2/13)+aux(722) s(18550) =< aux(715)*(5/13)+s(18545)*(2/13)+aux(722) s(18562) =< s(18554)*s(18559) s(18563) =< s(18552)*s(18559) s(18564) =< s(18551)*s(18560) s(18565) =< s(18551)*s(18559) s(18566) =< s(18550)*s(18559) s(18567) =< s(18556)*s(18561) s(18568) =< s(18556)*s(18561) s(18569) =< s(18557)*s(18561) s(18570) =< s(18558)*s(18561) s(18571) =< s(18562) s(18572) =< s(18559) s(18573) =< s(18571)*s(18559) s(18574) =< s(18571)*s(18572) s(18575) =< s(18563) s(18576) =< s(18575)*s(18559) s(18577) =< s(18575)*s(18572) s(18578) =< s(18564) s(18579) =< s(18560) s(18580) =< s(18578)*s(18560) s(18581) =< s(18578)*s(18579) s(18582) =< s(18565) s(18583) =< s(18582)*s(18559) s(18584) =< s(18582)*s(18572) s(18585) =< s(18566) s(18586) =< s(18585)*s(18559) s(18587) =< s(18585)*s(18572) s(18588) =< s(18567) s(18589) =< s(18570) s(18590) =< s(18561) s(18591) =< s(18589)*s(18561) s(18592) =< s(18589)*s(18590) s(18593) =< s(18589)*aux(714) with precondition: [Out=0,V>=0,V6>=0] * Chain [117]: 40*s(18898)+156*s(18899)+64*s(18900)+64*s(18901)+40*s(18902)+4*s(18903)+88*s(18904)+44*s(18905)+132*s(18906)+4*s(18916)+4*s(18917)+120*s(18919)+12*s(18921)+12*s(18922)+80*s(18923)+8*s(18924)+8*s(18925)+120*s(18926)+12*s(18928)+12*s(18929)+84*s(18930)+8*s(18931)+8*s(18932)+248*s(18933)+24*s(18934)+24*s(18935)+8*s(18936)+176*s(18937)+16*s(18939)+12*s(18940)+4*s(18941)+30*s(18951)+117*s(18952)+48*s(18953)+48*s(18954)+30*s(18955)+3*s(18956)+66*s(18957)+33*s(18958)+99*s(18959)+3*s(18969)+3*s(18970)+90*s(18972)+9*s(18974)+9*s(18975)+60*s(18976)+6*s(18977)+6*s(18978)+90*s(18979)+9*s(18981)+9*s(18982)+63*s(18983)+6*s(18984)+6*s(18985)+186*s(18986)+18*s(18987)+18*s(18988)+6*s(18989)+132*s(18990)+12*s(18992)+9*s(18993)+3*s(18994)+8 Such that:aux(723) =< V aux(724) =< 2*V+1 aux(725) =< V/2 aux(726) =< 2/3*V aux(727) =< 2/3*V+1/3 aux(728) =< 3/5*V aux(729) =< 3/7*V aux(730) =< 3/11*V aux(731) =< 3/13*V aux(732) =< V6 aux(733) =< 2*V6+1 aux(734) =< V6/2 aux(735) =< 2/3*V6 aux(736) =< 2/3*V6+1/3 aux(737) =< 3/5*V6 aux(738) =< 3/7*V6 aux(739) =< 3/11*V6 aux(740) =< 3/13*V6 s(18893) =< aux(727) s(18946) =< aux(736) s(18951) =< aux(732) s(18952) =< aux(732) s(18953) =< aux(732) s(18954) =< aux(732) s(18955) =< aux(732) s(18946) =< aux(732) s(18946) =< aux(733) s(18953) =< aux(734) s(18954) =< aux(735) s(18956) =< aux(737) s(18957) =< aux(738) s(18958) =< aux(739) s(18959) =< aux(740) s(18960) =< aux(732)+2 s(18961) =< aux(732)+3 s(18962) =< aux(732) s(18954) =< aux(733)*(1/3)+aux(735) s(18955) =< aux(733)*(1/3)+aux(735) s(18953) =< aux(733)*(1/2)+aux(734) s(18954) =< aux(733)*(1/2)+aux(734) s(18955) =< aux(733)*(1/2)+aux(734) s(18956) =< aux(733)*(1/5)+aux(737) s(18951) =< aux(733)*(1/5)+aux(737) s(18957) =< aux(733)*(2/7)+aux(738) s(18956) =< aux(733)*(2/7)+aux(738) s(18951) =< aux(733)*(2/7)+aux(738) s(18958) =< aux(733)*(4/11)+s(18946)*(1/11)+aux(739) s(18957) =< aux(733)*(4/11)+s(18946)*(1/11)+aux(739) s(18956) =< aux(733)*(4/11)+s(18946)*(1/11)+aux(739) s(18951) =< aux(733)*(4/11)+s(18946)*(1/11)+aux(739) s(18959) =< aux(733)*(5/13)+s(18946)*(2/13)+aux(740) s(18958) =< aux(733)*(5/13)+s(18946)*(2/13)+aux(740) s(18957) =< aux(733)*(5/13)+s(18946)*(2/13)+aux(740) s(18956) =< aux(733)*(5/13)+s(18946)*(2/13)+aux(740) s(18951) =< aux(733)*(5/13)+s(18946)*(2/13)+aux(740) s(18963) =< s(18955)*s(18960) s(18964) =< s(18953)*s(18960) s(18965) =< s(18952)*s(18961) s(18966) =< s(18952)*s(18960) s(18967) =< s(18951)*s(18960) s(18968) =< s(18957)*s(18962) s(18969) =< s(18957)*s(18962) s(18970) =< s(18958)*s(18962) s(18971) =< s(18959)*s(18962) s(18972) =< s(18963) s(18973) =< s(18960) s(18974) =< s(18972)*s(18960) s(18975) =< s(18972)*s(18973) s(18976) =< s(18964) s(18977) =< s(18976)*s(18960) s(18978) =< s(18976)*s(18973) s(18979) =< s(18965) s(18980) =< s(18961) s(18981) =< s(18979)*s(18961) s(18982) =< s(18979)*s(18980) s(18983) =< s(18966) s(18984) =< s(18983)*s(18960) s(18985) =< s(18983)*s(18973) s(18986) =< s(18967) s(18987) =< s(18986)*s(18960) s(18988) =< s(18986)*s(18973) s(18989) =< s(18968) s(18990) =< s(18971) s(18991) =< s(18962) s(18992) =< s(18990)*s(18962) s(18993) =< s(18990)*s(18991) s(18994) =< s(18990)*aux(732) s(18898) =< aux(723) s(18899) =< aux(723) s(18900) =< aux(723) s(18901) =< aux(723) s(18902) =< aux(723) s(18893) =< aux(723) s(18893) =< aux(724) s(18900) =< aux(725) s(18901) =< aux(726) s(18903) =< aux(728) s(18904) =< aux(729) s(18905) =< aux(730) s(18906) =< aux(731) s(18907) =< aux(723)+2 s(18908) =< aux(723)+3 s(18909) =< aux(723) s(18901) =< aux(724)*(1/3)+aux(726) s(18902) =< aux(724)*(1/3)+aux(726) s(18900) =< aux(724)*(1/2)+aux(725) s(18901) =< aux(724)*(1/2)+aux(725) s(18902) =< aux(724)*(1/2)+aux(725) s(18903) =< aux(724)*(1/5)+aux(728) s(18898) =< aux(724)*(1/5)+aux(728) s(18904) =< aux(724)*(2/7)+aux(729) s(18903) =< aux(724)*(2/7)+aux(729) s(18898) =< aux(724)*(2/7)+aux(729) s(18905) =< aux(724)*(4/11)+s(18893)*(1/11)+aux(730) s(18904) =< aux(724)*(4/11)+s(18893)*(1/11)+aux(730) s(18903) =< aux(724)*(4/11)+s(18893)*(1/11)+aux(730) s(18898) =< aux(724)*(4/11)+s(18893)*(1/11)+aux(730) s(18906) =< aux(724)*(5/13)+s(18893)*(2/13)+aux(731) s(18905) =< aux(724)*(5/13)+s(18893)*(2/13)+aux(731) s(18904) =< aux(724)*(5/13)+s(18893)*(2/13)+aux(731) s(18903) =< aux(724)*(5/13)+s(18893)*(2/13)+aux(731) s(18898) =< aux(724)*(5/13)+s(18893)*(2/13)+aux(731) s(18910) =< s(18902)*s(18907) s(18911) =< s(18900)*s(18907) s(18912) =< s(18899)*s(18908) s(18913) =< s(18899)*s(18907) s(18914) =< s(18898)*s(18907) s(18915) =< s(18904)*s(18909) s(18916) =< s(18904)*s(18909) s(18917) =< s(18905)*s(18909) s(18918) =< s(18906)*s(18909) s(18919) =< s(18910) s(18920) =< s(18907) s(18921) =< s(18919)*s(18907) s(18922) =< s(18919)*s(18920) s(18923) =< s(18911) s(18924) =< s(18923)*s(18907) s(18925) =< s(18923)*s(18920) s(18926) =< s(18912) s(18927) =< s(18908) s(18928) =< s(18926)*s(18908) s(18929) =< s(18926)*s(18927) s(18930) =< s(18913) s(18931) =< s(18930)*s(18907) s(18932) =< s(18930)*s(18920) s(18933) =< s(18914) s(18934) =< s(18933)*s(18907) s(18935) =< s(18933)*s(18920) s(18936) =< s(18915) s(18937) =< s(18918) s(18938) =< s(18909) s(18939) =< s(18937)*s(18909) s(18940) =< s(18937)*s(18938) s(18941) =< s(18937)*aux(723) with precondition: [V>=0,V6>=1,Out>=0,V6>=Out] * Chain [116]: 20*s(19269)+78*s(19270)+32*s(19271)+32*s(19272)+20*s(19273)+2*s(19274)+44*s(19275)+22*s(19276)+66*s(19277)+2*s(19287)+2*s(19288)+60*s(19290)+6*s(19292)+6*s(19293)+40*s(19294)+4*s(19295)+4*s(19296)+60*s(19297)+6*s(19299)+6*s(19300)+42*s(19301)+4*s(19302)+4*s(19303)+124*s(19304)+12*s(19305)+12*s(19306)+4*s(19307)+88*s(19308)+8*s(19310)+6*s(19311)+2*s(19312)+10*s(19322)+39*s(19323)+16*s(19324)+16*s(19325)+10*s(19326)+1*s(19327)+22*s(19328)+11*s(19329)+33*s(19330)+1*s(19340)+1*s(19341)+30*s(19343)+3*s(19345)+3*s(19346)+20*s(19347)+2*s(19348)+2*s(19349)+30*s(19350)+3*s(19352)+3*s(19353)+21*s(19354)+2*s(19355)+2*s(19356)+62*s(19357)+6*s(19358)+6*s(19359)+2*s(19360)+44*s(19361)+4*s(19363)+3*s(19364)+1*s(19365)+8 Such that:s(19313) =< V6 s(19314) =< 2*V6+1 s(19315) =< V6/2 s(19316) =< 2/3*V6 s(19317) =< 2/3*V6+1/3 s(19318) =< 3/5*V6 s(19319) =< 3/7*V6 s(19320) =< 3/11*V6 s(19321) =< 3/13*V6 aux(741) =< V aux(742) =< 2*V+1 aux(743) =< V/2 aux(744) =< 2/3*V aux(745) =< 2/3*V+1/3 aux(746) =< 3/5*V aux(747) =< 3/7*V aux(748) =< 3/11*V aux(749) =< 3/13*V s(19264) =< aux(745) s(19322) =< s(19313) s(19323) =< s(19313) s(19324) =< s(19313) s(19325) =< s(19313) s(19326) =< s(19313) s(19317) =< s(19313) s(19317) =< s(19314) s(19324) =< s(19315) s(19325) =< s(19316) s(19327) =< s(19318) s(19328) =< s(19319) s(19329) =< s(19320) s(19330) =< s(19321) s(19331) =< s(19313)+2 s(19332) =< s(19313)+3 s(19333) =< s(19313) s(19325) =< s(19314)*(1/3)+s(19316) s(19326) =< s(19314)*(1/3)+s(19316) s(19324) =< s(19314)*(1/2)+s(19315) s(19325) =< s(19314)*(1/2)+s(19315) s(19326) =< s(19314)*(1/2)+s(19315) s(19327) =< s(19314)*(1/5)+s(19318) s(19322) =< s(19314)*(1/5)+s(19318) s(19328) =< s(19314)*(2/7)+s(19319) s(19327) =< s(19314)*(2/7)+s(19319) s(19322) =< s(19314)*(2/7)+s(19319) s(19329) =< s(19314)*(4/11)+s(19317)*(1/11)+s(19320) s(19328) =< s(19314)*(4/11)+s(19317)*(1/11)+s(19320) s(19327) =< s(19314)*(4/11)+s(19317)*(1/11)+s(19320) s(19322) =< s(19314)*(4/11)+s(19317)*(1/11)+s(19320) s(19330) =< s(19314)*(5/13)+s(19317)*(2/13)+s(19321) s(19329) =< s(19314)*(5/13)+s(19317)*(2/13)+s(19321) s(19328) =< s(19314)*(5/13)+s(19317)*(2/13)+s(19321) s(19327) =< s(19314)*(5/13)+s(19317)*(2/13)+s(19321) s(19322) =< s(19314)*(5/13)+s(19317)*(2/13)+s(19321) s(19334) =< s(19326)*s(19331) s(19335) =< s(19324)*s(19331) s(19336) =< s(19323)*s(19332) s(19337) =< s(19323)*s(19331) s(19338) =< s(19322)*s(19331) s(19339) =< s(19328)*s(19333) s(19340) =< s(19328)*s(19333) s(19341) =< s(19329)*s(19333) s(19342) =< s(19330)*s(19333) s(19343) =< s(19334) s(19344) =< s(19331) s(19345) =< s(19343)*s(19331) s(19346) =< s(19343)*s(19344) s(19347) =< s(19335) s(19348) =< s(19347)*s(19331) s(19349) =< s(19347)*s(19344) s(19350) =< s(19336) s(19351) =< s(19332) s(19352) =< s(19350)*s(19332) s(19353) =< s(19350)*s(19351) s(19354) =< s(19337) s(19355) =< s(19354)*s(19331) s(19356) =< s(19354)*s(19344) s(19357) =< s(19338) s(19358) =< s(19357)*s(19331) s(19359) =< s(19357)*s(19344) s(19360) =< s(19339) s(19361) =< s(19342) s(19362) =< s(19333) s(19363) =< s(19361)*s(19333) s(19364) =< s(19361)*s(19362) s(19365) =< s(19361)*s(19313) s(19269) =< aux(741) s(19270) =< aux(741) s(19271) =< aux(741) s(19272) =< aux(741) s(19273) =< aux(741) s(19264) =< aux(741) s(19264) =< aux(742) s(19271) =< aux(743) s(19272) =< aux(744) s(19274) =< aux(746) s(19275) =< aux(747) s(19276) =< aux(748) s(19277) =< aux(749) s(19278) =< aux(741)+2 s(19279) =< aux(741)+3 s(19280) =< aux(741) s(19272) =< aux(742)*(1/3)+aux(744) s(19273) =< aux(742)*(1/3)+aux(744) s(19271) =< aux(742)*(1/2)+aux(743) s(19272) =< aux(742)*(1/2)+aux(743) s(19273) =< aux(742)*(1/2)+aux(743) s(19274) =< aux(742)*(1/5)+aux(746) s(19269) =< aux(742)*(1/5)+aux(746) s(19275) =< aux(742)*(2/7)+aux(747) s(19274) =< aux(742)*(2/7)+aux(747) s(19269) =< aux(742)*(2/7)+aux(747) s(19276) =< aux(742)*(4/11)+s(19264)*(1/11)+aux(748) s(19275) =< aux(742)*(4/11)+s(19264)*(1/11)+aux(748) s(19274) =< aux(742)*(4/11)+s(19264)*(1/11)+aux(748) s(19269) =< aux(742)*(4/11)+s(19264)*(1/11)+aux(748) s(19277) =< aux(742)*(5/13)+s(19264)*(2/13)+aux(749) s(19276) =< aux(742)*(5/13)+s(19264)*(2/13)+aux(749) s(19275) =< aux(742)*(5/13)+s(19264)*(2/13)+aux(749) s(19274) =< aux(742)*(5/13)+s(19264)*(2/13)+aux(749) s(19269) =< aux(742)*(5/13)+s(19264)*(2/13)+aux(749) s(19281) =< s(19273)*s(19278) s(19282) =< s(19271)*s(19278) s(19283) =< s(19270)*s(19279) s(19284) =< s(19270)*s(19278) s(19285) =< s(19269)*s(19278) s(19286) =< s(19275)*s(19280) s(19287) =< s(19275)*s(19280) s(19288) =< s(19276)*s(19280) s(19289) =< s(19277)*s(19280) s(19290) =< s(19281) s(19291) =< s(19278) s(19292) =< s(19290)*s(19278) s(19293) =< s(19290)*s(19291) s(19294) =< s(19282) s(19295) =< s(19294)*s(19278) s(19296) =< s(19294)*s(19291) s(19297) =< s(19283) s(19298) =< s(19279) s(19299) =< s(19297)*s(19279) s(19300) =< s(19297)*s(19298) s(19301) =< s(19284) s(19302) =< s(19301)*s(19278) s(19303) =< s(19301)*s(19291) s(19304) =< s(19285) s(19305) =< s(19304)*s(19278) s(19306) =< s(19304)*s(19291) s(19307) =< s(19286) s(19308) =< s(19289) s(19309) =< s(19280) s(19310) =< s(19308)*s(19280) s(19311) =< s(19308)*s(19309) s(19312) =< s(19308)*aux(741) with precondition: [V>=1,V6>=1,Out>=1,V6+1>=Out] * Chain [115]: 10*s(19428)+49*s(19429)+16*s(19430)+16*s(19431)+10*s(19432)+1*s(19433)+22*s(19434)+11*s(19435)+33*s(19436)+1*s(19446)+1*s(19447)+30*s(19449)+3*s(19451)+3*s(19452)+20*s(19453)+2*s(19454)+2*s(19455)+30*s(19456)+3*s(19458)+3*s(19459)+21*s(19460)+2*s(19461)+2*s(19462)+62*s(19463)+6*s(19464)+6*s(19465)+2*s(19466)+44*s(19467)+4*s(19469)+3*s(19470)+1*s(19471)+1*s(19475)+1*s(19476)+8 Such that:s(19420) =< 2*V+1 s(19421) =< V/2 s(19422) =< 2/3*V s(19423) =< 2/3*V+1/3 s(19424) =< 3/5*V s(19425) =< 3/7*V s(19426) =< 3/11*V s(19427) =< 3/13*V aux(750) =< V s(19429) =< aux(750) s(19439) =< aux(750) s(19475) =< s(19429)*aux(750) s(19476) =< s(19429)*s(19439) s(19428) =< aux(750) s(19430) =< aux(750) s(19431) =< aux(750) s(19432) =< aux(750) s(19423) =< aux(750) s(19423) =< s(19420) s(19430) =< s(19421) s(19431) =< s(19422) s(19433) =< s(19424) s(19434) =< s(19425) s(19435) =< s(19426) s(19436) =< s(19427) s(19437) =< aux(750)+2 s(19438) =< aux(750)+3 s(19431) =< s(19420)*(1/3)+s(19422) s(19432) =< s(19420)*(1/3)+s(19422) s(19430) =< s(19420)*(1/2)+s(19421) s(19431) =< s(19420)*(1/2)+s(19421) s(19432) =< s(19420)*(1/2)+s(19421) s(19433) =< s(19420)*(1/5)+s(19424) s(19428) =< s(19420)*(1/5)+s(19424) s(19434) =< s(19420)*(2/7)+s(19425) s(19433) =< s(19420)*(2/7)+s(19425) s(19428) =< s(19420)*(2/7)+s(19425) s(19435) =< s(19420)*(4/11)+s(19423)*(1/11)+s(19426) s(19434) =< s(19420)*(4/11)+s(19423)*(1/11)+s(19426) s(19433) =< s(19420)*(4/11)+s(19423)*(1/11)+s(19426) s(19428) =< s(19420)*(4/11)+s(19423)*(1/11)+s(19426) s(19436) =< s(19420)*(5/13)+s(19423)*(2/13)+s(19427) s(19435) =< s(19420)*(5/13)+s(19423)*(2/13)+s(19427) s(19434) =< s(19420)*(5/13)+s(19423)*(2/13)+s(19427) s(19433) =< s(19420)*(5/13)+s(19423)*(2/13)+s(19427) s(19428) =< s(19420)*(5/13)+s(19423)*(2/13)+s(19427) s(19440) =< s(19432)*s(19437) s(19441) =< s(19430)*s(19437) s(19442) =< s(19429)*s(19438) s(19443) =< s(19429)*s(19437) s(19444) =< s(19428)*s(19437) s(19445) =< s(19434)*s(19439) s(19446) =< s(19434)*s(19439) s(19447) =< s(19435)*s(19439) s(19448) =< s(19436)*s(19439) s(19449) =< s(19440) s(19450) =< s(19437) s(19451) =< s(19449)*s(19437) s(19452) =< s(19449)*s(19450) s(19453) =< s(19441) s(19454) =< s(19453)*s(19437) s(19455) =< s(19453)*s(19450) s(19456) =< s(19442) s(19457) =< s(19438) s(19458) =< s(19456)*s(19438) s(19459) =< s(19456)*s(19457) s(19460) =< s(19443) s(19461) =< s(19460)*s(19437) s(19462) =< s(19460)*s(19450) s(19463) =< s(19444) s(19464) =< s(19463)*s(19437) s(19465) =< s(19463)*s(19450) s(19466) =< s(19445) s(19467) =< s(19448) s(19468) =< s(19439) s(19469) =< s(19467)*s(19439) s(19470) =< s(19467)*s(19468) s(19471) =< s(19467)*aux(750) with precondition: [V6=2,V>=2,Out>=2,V+1>=Out] * Chain [114]: 10*s(19486)+49*s(19487)+16*s(19488)+16*s(19489)+10*s(19490)+1*s(19491)+22*s(19492)+11*s(19493)+33*s(19494)+1*s(19504)+1*s(19505)+30*s(19507)+3*s(19509)+3*s(19510)+20*s(19511)+2*s(19512)+2*s(19513)+30*s(19514)+3*s(19516)+3*s(19517)+21*s(19518)+2*s(19519)+2*s(19520)+62*s(19521)+6*s(19522)+6*s(19523)+2*s(19524)+44*s(19525)+4*s(19527)+3*s(19528)+1*s(19529)+1*s(19533)+1*s(19534)+8 Such that:s(19478) =< 2*V+1 s(19479) =< V/2 s(19480) =< 2/3*V s(19481) =< 2/3*V+1/3 s(19482) =< 3/5*V s(19483) =< 3/7*V s(19484) =< 3/11*V s(19485) =< 3/13*V aux(751) =< V s(19487) =< aux(751) s(19497) =< aux(751) s(19533) =< s(19487)*aux(751) s(19534) =< s(19487)*s(19497) s(19486) =< aux(751) s(19488) =< aux(751) s(19489) =< aux(751) s(19490) =< aux(751) s(19481) =< aux(751) s(19481) =< s(19478) s(19488) =< s(19479) s(19489) =< s(19480) s(19491) =< s(19482) s(19492) =< s(19483) s(19493) =< s(19484) s(19494) =< s(19485) s(19495) =< aux(751)+2 s(19496) =< aux(751)+3 s(19489) =< s(19478)*(1/3)+s(19480) s(19490) =< s(19478)*(1/3)+s(19480) s(19488) =< s(19478)*(1/2)+s(19479) s(19489) =< s(19478)*(1/2)+s(19479) s(19490) =< s(19478)*(1/2)+s(19479) s(19491) =< s(19478)*(1/5)+s(19482) s(19486) =< s(19478)*(1/5)+s(19482) s(19492) =< s(19478)*(2/7)+s(19483) s(19491) =< s(19478)*(2/7)+s(19483) s(19486) =< s(19478)*(2/7)+s(19483) s(19493) =< s(19478)*(4/11)+s(19481)*(1/11)+s(19484) s(19492) =< s(19478)*(4/11)+s(19481)*(1/11)+s(19484) s(19491) =< s(19478)*(4/11)+s(19481)*(1/11)+s(19484) s(19486) =< s(19478)*(4/11)+s(19481)*(1/11)+s(19484) s(19494) =< s(19478)*(5/13)+s(19481)*(2/13)+s(19485) s(19493) =< s(19478)*(5/13)+s(19481)*(2/13)+s(19485) s(19492) =< s(19478)*(5/13)+s(19481)*(2/13)+s(19485) s(19491) =< s(19478)*(5/13)+s(19481)*(2/13)+s(19485) s(19486) =< s(19478)*(5/13)+s(19481)*(2/13)+s(19485) s(19498) =< s(19490)*s(19495) s(19499) =< s(19488)*s(19495) s(19500) =< s(19487)*s(19496) s(19501) =< s(19487)*s(19495) s(19502) =< s(19486)*s(19495) s(19503) =< s(19492)*s(19497) s(19504) =< s(19492)*s(19497) s(19505) =< s(19493)*s(19497) s(19506) =< s(19494)*s(19497) s(19507) =< s(19498) s(19508) =< s(19495) s(19509) =< s(19507)*s(19495) s(19510) =< s(19507)*s(19508) s(19511) =< s(19499) s(19512) =< s(19511)*s(19495) s(19513) =< s(19511)*s(19508) s(19514) =< s(19500) s(19515) =< s(19496) s(19516) =< s(19514)*s(19496) s(19517) =< s(19514)*s(19515) s(19518) =< s(19501) s(19519) =< s(19518)*s(19495) s(19520) =< s(19518)*s(19508) s(19521) =< s(19502) s(19522) =< s(19521)*s(19495) s(19523) =< s(19521)*s(19508) s(19524) =< s(19503) s(19525) =< s(19506) s(19526) =< s(19497) s(19527) =< s(19525)*s(19497) s(19528) =< s(19525)*s(19526) s(19529) =< s(19525)*aux(751) with precondition: [V6=2,V>=2,Out>=3,V+2>=Out] * Chain [113]: 10*s(19544)+39*s(19545)+16*s(19546)+16*s(19547)+10*s(19548)+1*s(19549)+22*s(19550)+11*s(19551)+33*s(19552)+1*s(19562)+1*s(19563)+30*s(19565)+3*s(19567)+3*s(19568)+20*s(19569)+2*s(19570)+2*s(19571)+30*s(19572)+3*s(19574)+3*s(19575)+21*s(19576)+2*s(19577)+2*s(19578)+62*s(19579)+6*s(19580)+6*s(19581)+2*s(19582)+44*s(19583)+4*s(19585)+3*s(19586)+1*s(19587)+8 Such that:s(19535) =< V s(19536) =< 2*V+1 s(19537) =< V/2 s(19538) =< 2/3*V s(19539) =< 2/3*V+1/3 s(19540) =< 3/5*V s(19541) =< 3/7*V s(19542) =< 3/11*V s(19543) =< 3/13*V s(19544) =< s(19535) s(19545) =< s(19535) s(19546) =< s(19535) s(19547) =< s(19535) s(19548) =< s(19535) s(19539) =< s(19535) s(19539) =< s(19536) s(19546) =< s(19537) s(19547) =< s(19538) s(19549) =< s(19540) s(19550) =< s(19541) s(19551) =< s(19542) s(19552) =< s(19543) s(19553) =< s(19535)+2 s(19554) =< s(19535)+3 s(19555) =< s(19535) s(19547) =< s(19536)*(1/3)+s(19538) s(19548) =< s(19536)*(1/3)+s(19538) s(19546) =< s(19536)*(1/2)+s(19537) s(19547) =< s(19536)*(1/2)+s(19537) s(19548) =< s(19536)*(1/2)+s(19537) s(19549) =< s(19536)*(1/5)+s(19540) s(19544) =< s(19536)*(1/5)+s(19540) s(19550) =< s(19536)*(2/7)+s(19541) s(19549) =< s(19536)*(2/7)+s(19541) s(19544) =< s(19536)*(2/7)+s(19541) s(19551) =< s(19536)*(4/11)+s(19539)*(1/11)+s(19542) s(19550) =< s(19536)*(4/11)+s(19539)*(1/11)+s(19542) s(19549) =< s(19536)*(4/11)+s(19539)*(1/11)+s(19542) s(19544) =< s(19536)*(4/11)+s(19539)*(1/11)+s(19542) s(19552) =< s(19536)*(5/13)+s(19539)*(2/13)+s(19543) s(19551) =< s(19536)*(5/13)+s(19539)*(2/13)+s(19543) s(19550) =< s(19536)*(5/13)+s(19539)*(2/13)+s(19543) s(19549) =< s(19536)*(5/13)+s(19539)*(2/13)+s(19543) s(19544) =< s(19536)*(5/13)+s(19539)*(2/13)+s(19543) s(19556) =< s(19548)*s(19553) s(19557) =< s(19546)*s(19553) s(19558) =< s(19545)*s(19554) s(19559) =< s(19545)*s(19553) s(19560) =< s(19544)*s(19553) s(19561) =< s(19550)*s(19555) s(19562) =< s(19550)*s(19555) s(19563) =< s(19551)*s(19555) s(19564) =< s(19552)*s(19555) s(19565) =< s(19556) s(19566) =< s(19553) s(19567) =< s(19565)*s(19553) s(19568) =< s(19565)*s(19566) s(19569) =< s(19557) s(19570) =< s(19569)*s(19553) s(19571) =< s(19569)*s(19566) s(19572) =< s(19558) s(19573) =< s(19554) s(19574) =< s(19572)*s(19554) s(19575) =< s(19572)*s(19573) s(19576) =< s(19559) s(19577) =< s(19576)*s(19553) s(19578) =< s(19576)*s(19566) s(19579) =< s(19560) s(19580) =< s(19579)*s(19553) s(19581) =< s(19579)*s(19566) s(19582) =< s(19561) s(19583) =< s(19564) s(19584) =< s(19555) s(19585) =< s(19583)*s(19555) s(19586) =< s(19583)*s(19584) s(19587) =< s(19583)*s(19535) with precondition: [Out=1,V>=1,V6>=0] #### Cost of chains of start(V,V6,V9): * Chain [123]: 5021*s(19936)+70*s(19940)+70*s(19941)+5567*s(19976)+30*s(19980)+30*s(19981)+1350*s(20016)+2160*s(20018)+2160*s(20019)+1350*s(20020)+135*s(20021)+2970*s(20022)+1485*s(20023)+4455*s(20024)+135*s(20034)+135*s(20035)+4050*s(20037)+405*s(20039)+405*s(20040)+2700*s(20041)+270*s(20042)+270*s(20043)+4050*s(20044)+405*s(20046)+405*s(20047)+2835*s(20048)+270*s(20049)+270*s(20050)+8370*s(20051)+810*s(20052)+810*s(20053)+270*s(20054)+5940*s(20055)+540*s(20057)+405*s(20058)+135*s(20059)+397*s(20325)+200*s(20604)+20*s(20606)+20*s(20607)+1090*s(20739)+1744*s(20741)+1744*s(20742)+1090*s(20743)+109*s(20744)+2398*s(20745)+1199*s(20746)+3597*s(20747)+109*s(20757)+109*s(20758)+3270*s(20760)+327*s(20762)+327*s(20763)+2180*s(20764)+218*s(20765)+218*s(20766)+3270*s(20767)+327*s(20769)+327*s(20770)+2289*s(20771)+218*s(20772)+218*s(20773)+6758*s(20774)+654*s(20775)+654*s(20776)+218*s(20777)+4796*s(20778)+436*s(20780)+327*s(20781)+109*s(20782)+680*s(21570)+2652*s(21571)+1088*s(21572)+1088*s(21573)+680*s(21574)+68*s(21575)+1496*s(21576)+748*s(21577)+2244*s(21578)+68*s(21588)+68*s(21589)+2040*s(21591)+204*s(21593)+204*s(21594)+1360*s(21595)+136*s(21596)+136*s(21597)+2040*s(21598)+204*s(21600)+204*s(21601)+1428*s(21602)+136*s(21603)+136*s(21604)+4216*s(21605)+408*s(21606)+408*s(21607)+136*s(21608)+2992*s(21609)+272*s(21611)+204*s(21612)+68*s(21613)+36*s(21615)+36*s(21616)+11 Such that:aux(776) =< 1 aux(777) =< 2 aux(778) =< V aux(779) =< 2*V+1 aux(780) =< V/2 aux(781) =< 2/3*V aux(782) =< 2/3*V+1/3 aux(783) =< 3/5*V aux(784) =< 3/7*V aux(785) =< 3/11*V aux(786) =< 3/13*V aux(787) =< V6 aux(788) =< 2*V6+1 aux(789) =< V6/2 aux(790) =< 2/3*V6 aux(791) =< 2/3*V6+1/3 aux(792) =< 3/5*V6 aux(793) =< 3/7*V6 aux(794) =< 3/11*V6 aux(795) =< 3/13*V6 aux(796) =< V9 aux(797) =< 2*V9+1 aux(798) =< V9/2 aux(799) =< 2/3*V9 aux(800) =< 2/3*V9+1/3 aux(801) =< 3/5*V9 aux(802) =< 3/7*V9 aux(803) =< 3/11*V9 aux(804) =< 3/13*V9 s(20325) =< aux(776) s(19976) =< aux(778) s(20011) =< aux(782) s(19936) =< aux(787) s(20734) =< aux(791) s(20016) =< aux(778) s(20018) =< aux(778) s(20019) =< aux(778) s(20020) =< aux(778) s(20011) =< aux(778) s(20011) =< aux(779) s(20018) =< aux(780) s(20019) =< aux(781) s(20021) =< aux(783) s(20022) =< aux(784) s(20023) =< aux(785) s(20024) =< aux(786) s(20025) =< aux(778)+2 s(20026) =< aux(778)+3 s(19979) =< aux(778) s(20019) =< aux(779)*(1/3)+aux(781) s(20020) =< aux(779)*(1/3)+aux(781) s(20018) =< aux(779)*(1/2)+aux(780) s(20019) =< aux(779)*(1/2)+aux(780) s(20020) =< aux(779)*(1/2)+aux(780) s(20021) =< aux(779)*(1/5)+aux(783) s(20016) =< aux(779)*(1/5)+aux(783) s(20022) =< aux(779)*(2/7)+aux(784) s(20021) =< aux(779)*(2/7)+aux(784) s(20016) =< aux(779)*(2/7)+aux(784) s(20023) =< aux(779)*(4/11)+s(20011)*(1/11)+aux(785) s(20022) =< aux(779)*(4/11)+s(20011)*(1/11)+aux(785) s(20021) =< aux(779)*(4/11)+s(20011)*(1/11)+aux(785) s(20016) =< aux(779)*(4/11)+s(20011)*(1/11)+aux(785) s(20024) =< aux(779)*(5/13)+s(20011)*(2/13)+aux(786) s(20023) =< aux(779)*(5/13)+s(20011)*(2/13)+aux(786) s(20022) =< aux(779)*(5/13)+s(20011)*(2/13)+aux(786) s(20021) =< aux(779)*(5/13)+s(20011)*(2/13)+aux(786) s(20016) =< aux(779)*(5/13)+s(20011)*(2/13)+aux(786) s(20028) =< s(20020)*s(20025) s(20029) =< s(20018)*s(20025) s(20030) =< s(19976)*s(20026) s(20031) =< s(19976)*s(20025) s(20032) =< s(20016)*s(20025) s(20033) =< s(20022)*s(19979) s(20034) =< s(20022)*s(19979) s(20035) =< s(20023)*s(19979) s(20036) =< s(20024)*s(19979) s(20037) =< s(20028) s(20038) =< s(20025) s(20039) =< s(20037)*s(20025) s(20040) =< s(20037)*s(20038) s(20041) =< s(20029) s(20042) =< s(20041)*s(20025) s(20043) =< s(20041)*s(20038) s(20044) =< s(20030) s(20045) =< s(20026) s(20046) =< s(20044)*s(20026) s(20047) =< s(20044)*s(20045) s(20048) =< s(20031) s(20049) =< s(20048)*s(20025) s(20050) =< s(20048)*s(20038) s(20051) =< s(20032) s(20052) =< s(20051)*s(20025) s(20053) =< s(20051)*s(20038) s(20054) =< s(20033) s(20055) =< s(20036) s(20056) =< s(19979) s(20057) =< s(20055)*s(19979) s(20058) =< s(20055)*s(20056) s(20059) =< s(20055)*aux(778) s(21525) =< aux(800) s(21570) =< aux(796) s(21571) =< aux(796) s(21572) =< aux(796) s(21573) =< aux(796) s(21574) =< aux(796) s(21525) =< aux(796) s(21525) =< aux(797) s(21572) =< aux(798) s(21573) =< aux(799) s(21575) =< aux(801) s(21576) =< aux(802) s(21577) =< aux(803) s(21578) =< aux(804) s(21579) =< aux(796)+2 s(21580) =< aux(796)+3 s(21581) =< aux(796) s(21573) =< aux(797)*(1/3)+aux(799) s(21574) =< aux(797)*(1/3)+aux(799) s(21572) =< aux(797)*(1/2)+aux(798) s(21573) =< aux(797)*(1/2)+aux(798) s(21574) =< aux(797)*(1/2)+aux(798) s(21575) =< aux(797)*(1/5)+aux(801) s(21570) =< aux(797)*(1/5)+aux(801) s(21576) =< aux(797)*(2/7)+aux(802) s(21575) =< aux(797)*(2/7)+aux(802) s(21570) =< aux(797)*(2/7)+aux(802) s(21577) =< aux(797)*(4/11)+s(21525)*(1/11)+aux(803) s(21576) =< aux(797)*(4/11)+s(21525)*(1/11)+aux(803) s(21575) =< aux(797)*(4/11)+s(21525)*(1/11)+aux(803) s(21570) =< aux(797)*(4/11)+s(21525)*(1/11)+aux(803) s(21578) =< aux(797)*(5/13)+s(21525)*(2/13)+aux(804) s(21577) =< aux(797)*(5/13)+s(21525)*(2/13)+aux(804) s(21576) =< aux(797)*(5/13)+s(21525)*(2/13)+aux(804) s(21575) =< aux(797)*(5/13)+s(21525)*(2/13)+aux(804) s(21570) =< aux(797)*(5/13)+s(21525)*(2/13)+aux(804) s(21582) =< s(21574)*s(21579) s(21583) =< s(21572)*s(21579) s(21584) =< s(21571)*s(21580) s(21585) =< s(21571)*s(21579) s(21586) =< s(21570)*s(21579) s(21587) =< s(21576)*s(21581) s(21588) =< s(21576)*s(21581) s(21589) =< s(21577)*s(21581) s(21590) =< s(21578)*s(21581) s(21591) =< s(21582) s(21592) =< s(21579) s(21593) =< s(21591)*s(21579) s(21594) =< s(21591)*s(21592) s(21595) =< s(21583) s(21596) =< s(21595)*s(21579) s(21597) =< s(21595)*s(21592) s(21598) =< s(21584) s(21599) =< s(21580) s(21600) =< s(21598)*s(21580) s(21601) =< s(21598)*s(21599) s(21602) =< s(21585) s(21603) =< s(21602)*s(21579) s(21604) =< s(21602)*s(21592) s(21605) =< s(21586) s(21606) =< s(21605)*s(21579) s(21607) =< s(21605)*s(21592) s(21608) =< s(21587) s(21609) =< s(21590) s(21610) =< s(21581) s(21611) =< s(21609)*s(21581) s(21612) =< s(21609)*s(21610) s(21613) =< s(21609)*aux(796) s(21614) =< aux(776) s(21615) =< s(20325)*aux(776) s(21616) =< s(20325)*s(21614) s(20739) =< aux(787) s(20741) =< aux(787) s(20742) =< aux(787) s(20743) =< aux(787) s(20734) =< aux(787) s(20734) =< aux(788) s(20741) =< aux(789) s(20742) =< aux(790) s(20744) =< aux(792) s(20745) =< aux(793) s(20746) =< aux(794) s(20747) =< aux(795) s(20748) =< aux(787)+2 s(20749) =< aux(787)+3 s(19939) =< aux(787) s(20742) =< aux(788)*(1/3)+aux(790) s(20743) =< aux(788)*(1/3)+aux(790) s(20741) =< aux(788)*(1/2)+aux(789) s(20742) =< aux(788)*(1/2)+aux(789) s(20743) =< aux(788)*(1/2)+aux(789) s(20744) =< aux(788)*(1/5)+aux(792) s(20739) =< aux(788)*(1/5)+aux(792) s(20745) =< aux(788)*(2/7)+aux(793) s(20744) =< aux(788)*(2/7)+aux(793) s(20739) =< aux(788)*(2/7)+aux(793) s(20746) =< aux(788)*(4/11)+s(20734)*(1/11)+aux(794) s(20745) =< aux(788)*(4/11)+s(20734)*(1/11)+aux(794) s(20744) =< aux(788)*(4/11)+s(20734)*(1/11)+aux(794) s(20739) =< aux(788)*(4/11)+s(20734)*(1/11)+aux(794) s(20747) =< aux(788)*(5/13)+s(20734)*(2/13)+aux(795) s(20746) =< aux(788)*(5/13)+s(20734)*(2/13)+aux(795) s(20745) =< aux(788)*(5/13)+s(20734)*(2/13)+aux(795) s(20744) =< aux(788)*(5/13)+s(20734)*(2/13)+aux(795) s(20739) =< aux(788)*(5/13)+s(20734)*(2/13)+aux(795) s(20751) =< s(20743)*s(20748) s(20752) =< s(20741)*s(20748) s(20753) =< s(19936)*s(20749) s(20754) =< s(19936)*s(20748) s(20755) =< s(20739)*s(20748) s(20756) =< s(20745)*s(19939) s(20757) =< s(20745)*s(19939) s(20758) =< s(20746)*s(19939) s(20759) =< s(20747)*s(19939) s(20760) =< s(20751) s(20761) =< s(20748) s(20762) =< s(20760)*s(20748) s(20763) =< s(20760)*s(20761) s(20764) =< s(20752) s(20765) =< s(20764)*s(20748) s(20766) =< s(20764)*s(20761) s(20767) =< s(20753) s(20768) =< s(20749) s(20769) =< s(20767)*s(20749) s(20770) =< s(20767)*s(20768) s(20771) =< s(20754) s(20772) =< s(20771)*s(20748) s(20773) =< s(20771)*s(20761) s(20774) =< s(20755) s(20775) =< s(20774)*s(20748) s(20776) =< s(20774)*s(20761) s(20777) =< s(20756) s(20778) =< s(20759) s(20779) =< s(19939) s(20780) =< s(20778)*s(19939) s(20781) =< s(20778)*s(20779) s(20782) =< s(20778)*aux(787) s(19940) =< s(19936)*aux(787) s(19941) =< s(19936)*s(19939) s(20604) =< aux(777) s(20605) =< aux(777) s(20606) =< s(20604)*aux(777) s(20607) =< s(20604)*s(20605) s(19980) =< s(19976)*aux(778) s(19981) =< s(19976)*s(19979) with precondition: [] Closed-form bounds of start(V,V6,V9): ------------------------------------- * Chain [123] with precondition: [] - Upper bound: nat(V)*81977+1040+nat(V)*40965*nat(V)+nat(V)*4320*nat(V)*nat(V)+nat(V)*1080*nat(V)*nat(3/13*V)+nat(V)*405*nat(3/7*V)+nat(V)*135*nat(3/11*V)+nat(V)*5940*nat(3/13*V)+nat(V6)*66715+nat(V6)*33167*nat(V6)+nat(V6)*3488*nat(V6)*nat(V6)+nat(V6)*872*nat(V6)*nat(3/13*V6)+nat(V6)*327*nat(3/7*V6)+nat(V6)*109*nat(3/11*V6)+nat(V6)*4796*nat(3/13*V6)+nat(V9)*41140+nat(V9)*20604*nat(V9)+nat(V9)*2176*nat(V9)*nat(V9)+nat(V9)*544*nat(V9)*nat(3/13*V9)+nat(V9)*204*nat(3/7*V9)+nat(V9)*68*nat(3/11*V9)+nat(V9)*2992*nat(3/13*V9)+nat(3/5*V)*135+nat(3/5*V6)*109+nat(3/5*V9)*68+nat(3/7*V)*2970+nat(3/7*V6)*2398+nat(3/7*V9)*1496+nat(3/11*V)*1485+nat(3/11*V6)*1199+nat(3/11*V9)*748+nat(3/13*V)*4455+nat(3/13*V6)*3597+nat(3/13*V9)*2244 - Complexity: n^3 ### Maximum cost of start(V,V6,V9): nat(V)*81977+1040+nat(V)*40965*nat(V)+nat(V)*4320*nat(V)*nat(V)+nat(V)*1080*nat(V)*nat(3/13*V)+nat(V)*405*nat(3/7*V)+nat(V)*135*nat(3/11*V)+nat(V)*5940*nat(3/13*V)+nat(V6)*66715+nat(V6)*33167*nat(V6)+nat(V6)*3488*nat(V6)*nat(V6)+nat(V6)*872*nat(V6)*nat(3/13*V6)+nat(V6)*327*nat(3/7*V6)+nat(V6)*109*nat(3/11*V6)+nat(V6)*4796*nat(3/13*V6)+nat(V9)*41140+nat(V9)*20604*nat(V9)+nat(V9)*2176*nat(V9)*nat(V9)+nat(V9)*544*nat(V9)*nat(3/13*V9)+nat(V9)*204*nat(3/7*V9)+nat(V9)*68*nat(3/11*V9)+nat(V9)*2992*nat(3/13*V9)+nat(3/5*V)*135+nat(3/5*V6)*109+nat(3/5*V9)*68+nat(3/7*V)*2970+nat(3/7*V6)*2398+nat(3/7*V9)*1496+nat(3/11*V)*1485+nat(3/11*V6)*1199+nat(3/11*V9)*748+nat(3/13*V)*4455+nat(3/13*V6)*3597+nat(3/13*V9)*2244 Asymptotic class: n^3 * Total analysis performed in 166811 ms. ---------------------------------------- (14) BOUNDS(1, n^3) ---------------------------------------- (15) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (16) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^2, INF). The TRS R consists of the following rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) The (relative) TRS S consists of the following rules: encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Rewrite Strategy: INNERMOST ---------------------------------------- (17) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (18) Obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if ---------------------------------------- (19) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: p, rand, if, encArg They will be analysed ascendingly in the following order: p < if p < encArg rand = if rand < encArg if < encArg ---------------------------------------- (20) Obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if Generator Equations: gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0) <=> 0' gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(x, 1)) <=> s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(x)) The following defined symbols remain to be analysed: p, rand, if, encArg They will be analysed ascendingly in the following order: p < if p < encArg rand = if rand < encArg if < encArg ---------------------------------------- (21) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n4_4))) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n4_4), rt in Omega(1 + n4_4) Induction Base: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, 0))) ->_R^Omega(1) 0' Induction Step: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, +(n4_4, 1)))) ->_R^Omega(1) s(p(s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n4_4)))) ->_IH s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(c5_4)) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (22) Complex Obligation (BEST) ---------------------------------------- (23) Obligation: Proved the lower bound n^1 for the following obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if Generator Equations: gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0) <=> 0' gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(x, 1)) <=> s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(x)) The following defined symbols remain to be analysed: p, rand, if, encArg They will be analysed ascendingly in the following order: p < if p < encArg rand = if rand < encArg if < encArg ---------------------------------------- (24) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (25) BOUNDS(n^1, INF) ---------------------------------------- (26) Obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if Lemmas: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n4_4))) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n4_4), rt in Omega(1 + n4_4) Generator Equations: gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0) <=> 0' gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(x, 1)) <=> s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(x)) The following defined symbols remain to be analysed: if, rand, encArg They will be analysed ascendingly in the following order: rand = if rand < encArg if < encArg ---------------------------------------- (27) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n407_4), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b), rt in Omega(1 + n407_4 + n407_4^2) Induction Base: rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) if(nonZero(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0)), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) if(false, gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b) Induction Step: rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(n407_4, 1)), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) if(nonZero(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(n407_4, 1))), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(n407_4, 1)), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) if(true, gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n407_4)), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_R^Omega(1) rand(p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n407_4))), id_inc(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b))) ->_L^Omega(1 + n407_4) rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n407_4), id_inc(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b))) ->_R^Omega(1) rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n407_4), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) ->_IH gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b) We have rt in Omega(n^2) and sz in O(n). Thus, we have irc_R in Omega(n^2). ---------------------------------------- (28) Complex Obligation (BEST) ---------------------------------------- (29) Obligation: Proved the lower bound n^2 for the following obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if Lemmas: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n4_4))) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n4_4), rt in Omega(1 + n4_4) Generator Equations: gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0) <=> 0' gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(x, 1)) <=> s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(x)) The following defined symbols remain to be analysed: rand, encArg They will be analysed ascendingly in the following order: rand = if rand < encArg if < encArg ---------------------------------------- (30) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (31) BOUNDS(n^2, INF) ---------------------------------------- (32) Obligation: Innermost TRS: Rules: nonZero(0') -> false nonZero(s(x)) -> true p(s(0')) -> 0' p(s(s(x))) -> s(p(s(x))) id_inc(x) -> x id_inc(x) -> s(x) random(x) -> rand(x, 0') rand(x, y) -> if(nonZero(x), x, y) if(false, x, y) -> y if(true, x, y) -> rand(p(x), id_inc(y)) encArg(0') -> 0' encArg(false) -> false encArg(s(x_1)) -> s(encArg(x_1)) encArg(true) -> true encArg(cons_nonZero(x_1)) -> nonZero(encArg(x_1)) encArg(cons_p(x_1)) -> p(encArg(x_1)) encArg(cons_id_inc(x_1)) -> id_inc(encArg(x_1)) encArg(cons_random(x_1)) -> random(encArg(x_1)) encArg(cons_rand(x_1, x_2)) -> rand(encArg(x_1), encArg(x_2)) encArg(cons_if(x_1, x_2, x_3)) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) encode_nonZero(x_1) -> nonZero(encArg(x_1)) encode_0 -> 0' encode_false -> false encode_s(x_1) -> s(encArg(x_1)) encode_true -> true encode_p(x_1) -> p(encArg(x_1)) encode_id_inc(x_1) -> id_inc(encArg(x_1)) encode_random(x_1) -> random(encArg(x_1)) encode_rand(x_1, x_2) -> rand(encArg(x_1), encArg(x_2)) encode_if(x_1, x_2, x_3) -> if(encArg(x_1), encArg(x_2), encArg(x_3)) Types: nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if 0' :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encArg :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if cons_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_nonZero :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_0 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_false :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_s :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_true :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_p :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_id_inc :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_random :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_rand :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if encode_if :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if hole_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if1_4 :: 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4 :: Nat -> 0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if Lemmas: p(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(1, n4_4))) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n4_4), rt in Omega(1 + n4_4) rand(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n407_4), gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b)) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(b), rt in Omega(1 + n407_4 + n407_4^2) Generator Equations: gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0) <=> 0' gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(x, 1)) <=> s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(x)) The following defined symbols remain to be analysed: if, encArg They will be analysed ascendingly in the following order: rand = if rand < encArg if < encArg ---------------------------------------- (33) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: encArg(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n3055_4)) -> gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n3055_4), rt in Omega(0) Induction Base: encArg(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(0)) ->_R^Omega(0) 0' Induction Step: encArg(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(+(n3055_4, 1))) ->_R^Omega(0) s(encArg(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(n3055_4))) ->_IH s(gen_0':false:s:true:cons_nonZero:cons_p:cons_id_inc:cons_random:cons_rand:cons_if2_4(c3056_4)) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (34) BOUNDS(1, INF)