/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^3)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^3). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 273 ms] (4) CpxRelTRS (5) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (6) CpxRelTRS (7) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxWeightedTrs (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedTrs (13) CompletionProof [UPPER BOUND(ID), 0 ms] (14) CpxTypedWeightedCompleteTrs (15) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 1 ms] (16) CpxRNTS (17) CompleteCoflocoProof [FINISHED, 61.8 s] (18) BOUNDS(1, n^3) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^3). The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) f(x, h1(y, z)) -> h2(0, x, h1(y, z)) g(h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) i(f(x, h(y))) -> y i(h2(s(x), y, h1(x, z))) -> z k(h(x)) -> h1(0, x) k(h1(x, y)) -> h1(s(x), y) S is empty. Rewrite Strategy: FULL ---------------------------------------- (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(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) encArg(0) -> 0 encArg(s(x_1)) -> s(encArg(x_1)) encArg(h(x_1)) -> h(encArg(x_1)) encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) encArg(cons_g(x_1)) -> g(encArg(x_1)) encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_i(x_1)) -> i(encArg(x_1)) encArg(cons_k(x_1)) -> k(encArg(x_1)) encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) encode_g(x_1) -> g(encArg(x_1)) encode_k(x_1) -> k(encArg(x_1)) encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encode_0 -> 0 encode_s(x_1) -> s(encArg(x_1)) encode_i(x_1) -> i(encArg(x_1)) encode_h(x_1) -> h(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^3). The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) f(x, h1(y, z)) -> h2(0, x, h1(y, z)) g(h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) i(f(x, h(y))) -> y i(h2(s(x), y, h1(x, z))) -> z k(h(x)) -> h1(0, x) k(h1(x, y)) -> h1(s(x), y) The (relative) TRS S consists of the following rules: encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) encArg(0) -> 0 encArg(s(x_1)) -> s(encArg(x_1)) encArg(h(x_1)) -> h(encArg(x_1)) encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) encArg(cons_g(x_1)) -> g(encArg(x_1)) encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_i(x_1)) -> i(encArg(x_1)) encArg(cons_k(x_1)) -> k(encArg(x_1)) encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) encode_g(x_1) -> g(encArg(x_1)) encode_k(x_1) -> k(encArg(x_1)) encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encode_0 -> 0 encode_s(x_1) -> s(encArg(x_1)) encode_i(x_1) -> i(encArg(x_1)) encode_h(x_1) -> h(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^3). The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) f(x, h1(y, z)) -> h2(0, x, h1(y, z)) g(h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) i(f(x, h(y))) -> y i(h2(s(x), y, h1(x, z))) -> z k(h(x)) -> h1(0, x) k(h1(x, y)) -> h1(s(x), y) The (relative) TRS S consists of the following rules: encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) encArg(0) -> 0 encArg(s(x_1)) -> s(encArg(x_1)) encArg(h(x_1)) -> h(encArg(x_1)) encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) encArg(cons_g(x_1)) -> g(encArg(x_1)) encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_i(x_1)) -> i(encArg(x_1)) encArg(cons_k(x_1)) -> k(encArg(x_1)) encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) encode_g(x_1) -> g(encArg(x_1)) encode_k(x_1) -> k(encArg(x_1)) encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encode_0 -> 0 encode_s(x_1) -> s(encArg(x_1)) encode_i(x_1) -> i(encArg(x_1)) encode_h(x_1) -> h(encArg(x_1)) Rewrite Strategy: FULL ---------------------------------------- (5) NonCtorToCtorProof (UPPER BOUND(ID)) transformed non-ctor to ctor-system ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^3). The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) f(x, h1(y, z)) -> h2(0, x, h1(y, z)) h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) k(h(x)) -> h1(0, x) k(h1(x, y)) -> h1(s(x), y) i(c_h2(s(x), y, h1(x, z))) -> z g(c_h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) i(c_f(x, h(y))) -> y The (relative) TRS S consists of the following rules: encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) encArg(0) -> 0 encArg(s(x_1)) -> s(encArg(x_1)) encArg(h(x_1)) -> h(encArg(x_1)) encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) encArg(cons_g(x_1)) -> g(encArg(x_1)) encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_i(x_1)) -> i(encArg(x_1)) encArg(cons_k(x_1)) -> k(encArg(x_1)) encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) encode_g(x_1) -> g(encArg(x_1)) encode_k(x_1) -> k(encArg(x_1)) encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encode_0 -> 0 encode_s(x_1) -> s(encArg(x_1)) encode_i(x_1) -> i(encArg(x_1)) encode_h(x_1) -> h(encArg(x_1)) f(x0, x1) -> c_f(x0, x1) h2(x0, x1, x2) -> c_h2(x0, x1, x2) Rewrite Strategy: FULL ---------------------------------------- (7) RcToIrcProof (BOTH BOUNDS(ID, ID)) Converted rc-obligation to irc-obligation. As the TRS is a non-duplicating overlay system, we have rc = irc. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^3). The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) f(x, h1(y, z)) -> h2(0, x, h1(y, z)) h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) k(h(x)) -> h1(0, x) k(h1(x, y)) -> h1(s(x), y) i(c_h2(s(x), y, h1(x, z))) -> z g(c_h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) i(c_f(x, h(y))) -> y The (relative) TRS S consists of the following rules: encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) encArg(0) -> 0 encArg(s(x_1)) -> s(encArg(x_1)) encArg(h(x_1)) -> h(encArg(x_1)) encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) encArg(cons_g(x_1)) -> g(encArg(x_1)) encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_i(x_1)) -> i(encArg(x_1)) encArg(cons_k(x_1)) -> k(encArg(x_1)) encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) encode_g(x_1) -> g(encArg(x_1)) encode_k(x_1) -> k(encArg(x_1)) encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) encode_0 -> 0 encode_s(x_1) -> s(encArg(x_1)) encode_i(x_1) -> i(encArg(x_1)) encode_h(x_1) -> h(encArg(x_1)) f(x0, x1) -> c_f(x0, x1) h2(x0, x1, x2) -> c_h2(x0, x1, x2) Rewrite Strategy: INNERMOST ---------------------------------------- (9) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (10) 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: f(j(x, y), y) -> g(f(x, k(y))) [1] f(x, h1(y, z)) -> h2(0, x, h1(y, z)) [1] h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) [1] k(h(x)) -> h1(0, x) [1] k(h1(x, y)) -> h1(s(x), y) [1] i(c_h2(s(x), y, h1(x, z))) -> z [1] g(c_h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) [1] i(c_f(x, h(y))) -> y [1] encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) [0] encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) [0] encArg(0) -> 0 [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(h(x_1)) -> h(encArg(x_1)) [0] encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) [0] encArg(cons_g(x_1)) -> g(encArg(x_1)) [0] encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_i(x_1)) -> i(encArg(x_1)) [0] encArg(cons_k(x_1)) -> k(encArg(x_1)) [0] encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) [0] encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) [0] encode_g(x_1) -> g(encArg(x_1)) [0] encode_k(x_1) -> k(encArg(x_1)) [0] encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) [0] encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_0 -> 0 [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_i(x_1) -> i(encArg(x_1)) [0] encode_h(x_1) -> h(encArg(x_1)) [0] f(x0, x1) -> c_f(x0, x1) [0] h2(x0, x1, x2) -> c_h2(x0, x1, x2) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (12) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: f(j(x, y), y) -> g(f(x, k(y))) [1] f(x, h1(y, z)) -> h2(0, x, h1(y, z)) [1] h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) [1] k(h(x)) -> h1(0, x) [1] k(h1(x, y)) -> h1(s(x), y) [1] i(c_h2(s(x), y, h1(x, z))) -> z [1] g(c_h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) [1] i(c_f(x, h(y))) -> y [1] encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) [0] encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) [0] encArg(0) -> 0 [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(h(x_1)) -> h(encArg(x_1)) [0] encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) [0] encArg(cons_g(x_1)) -> g(encArg(x_1)) [0] encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_i(x_1)) -> i(encArg(x_1)) [0] encArg(cons_k(x_1)) -> k(encArg(x_1)) [0] encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) [0] encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) [0] encode_g(x_1) -> g(encArg(x_1)) [0] encode_k(x_1) -> k(encArg(x_1)) [0] encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) [0] encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_0 -> 0 [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_i(x_1) -> i(encArg(x_1)) [0] encode_h(x_1) -> h(encArg(x_1)) [0] f(x0, x1) -> c_f(x0, x1) [0] h2(x0, x1, x2) -> c_h2(x0, x1, x2) [0] The TRS has the following type information: f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k j :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k h1 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k 0 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k s :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k h :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k c_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k c_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encArg :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k cons_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k cons_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k cons_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k cons_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k cons_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_j :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_h1 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_0 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_s :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k encode_h :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k Rewrite Strategy: INNERMOST ---------------------------------------- (13) 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_f(v0, v1) -> null_encode_f [0] encode_j(v0, v1) -> null_encode_j [0] encode_g(v0) -> null_encode_g [0] encode_k(v0) -> null_encode_k [0] encode_h1(v0, v1) -> null_encode_h1 [0] encode_h2(v0, v1, v2) -> null_encode_h2 [0] encode_0 -> null_encode_0 [0] encode_s(v0) -> null_encode_s [0] encode_i(v0) -> null_encode_i [0] encode_h(v0) -> null_encode_h [0] f(v0, v1) -> null_f [0] h2(v0, v1, v2) -> null_h2 [0] k(v0) -> null_k [0] i(v0) -> null_i [0] g(v0) -> null_g [0] And the following fresh constants: null_encArg, null_encode_f, null_encode_j, null_encode_g, null_encode_k, null_encode_h1, null_encode_h2, null_encode_0, null_encode_s, null_encode_i, null_encode_h, null_f, null_h2, null_k, null_i, null_g ---------------------------------------- (14) 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: f(j(x, y), y) -> g(f(x, k(y))) [1] f(x, h1(y, z)) -> h2(0, x, h1(y, z)) [1] h2(x, j(y, h1(z, u)), h1(z, u)) -> h2(s(x), y, h1(s(z), u)) [1] k(h(x)) -> h1(0, x) [1] k(h1(x, y)) -> h1(s(x), y) [1] i(c_h2(s(x), y, h1(x, z))) -> z [1] g(c_h2(x, y, h1(z, u))) -> h2(s(x), y, h1(z, u)) [1] i(c_f(x, h(y))) -> y [1] encArg(j(x_1, x_2)) -> j(encArg(x_1), encArg(x_2)) [0] encArg(h1(x_1, x_2)) -> h1(encArg(x_1), encArg(x_2)) [0] encArg(0) -> 0 [0] encArg(s(x_1)) -> s(encArg(x_1)) [0] encArg(h(x_1)) -> h(encArg(x_1)) [0] encArg(cons_f(x_1, x_2)) -> f(encArg(x_1), encArg(x_2)) [0] encArg(cons_g(x_1)) -> g(encArg(x_1)) [0] encArg(cons_h2(x_1, x_2, x_3)) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_i(x_1)) -> i(encArg(x_1)) [0] encArg(cons_k(x_1)) -> k(encArg(x_1)) [0] encode_f(x_1, x_2) -> f(encArg(x_1), encArg(x_2)) [0] encode_j(x_1, x_2) -> j(encArg(x_1), encArg(x_2)) [0] encode_g(x_1) -> g(encArg(x_1)) [0] encode_k(x_1) -> k(encArg(x_1)) [0] encode_h1(x_1, x_2) -> h1(encArg(x_1), encArg(x_2)) [0] encode_h2(x_1, x_2, x_3) -> h2(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_0 -> 0 [0] encode_s(x_1) -> s(encArg(x_1)) [0] encode_i(x_1) -> i(encArg(x_1)) [0] encode_h(x_1) -> h(encArg(x_1)) [0] f(x0, x1) -> c_f(x0, x1) [0] h2(x0, x1, x2) -> c_h2(x0, x1, x2) [0] encArg(v0) -> null_encArg [0] encode_f(v0, v1) -> null_encode_f [0] encode_j(v0, v1) -> null_encode_j [0] encode_g(v0) -> null_encode_g [0] encode_k(v0) -> null_encode_k [0] encode_h1(v0, v1) -> null_encode_h1 [0] encode_h2(v0, v1, v2) -> null_encode_h2 [0] encode_0 -> null_encode_0 [0] encode_s(v0) -> null_encode_s [0] encode_i(v0) -> null_encode_i [0] encode_h(v0) -> null_encode_h [0] f(v0, v1) -> null_f [0] h2(v0, v1, v2) -> null_h2 [0] k(v0) -> null_k [0] i(v0) -> null_i [0] g(v0) -> null_g [0] The TRS has the following type information: f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g j :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g h1 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g 0 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g s :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g h :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g c_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g c_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encArg :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g cons_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g cons_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g cons_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g cons_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g cons_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_j :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_h1 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_0 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_s :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g encode_h :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g -> j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encArg :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_j :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_h1 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_0 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_s :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_encode_h :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_f :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_h2 :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_k :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_i :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g null_g :: j:h1:0:s:h:c_h2:c_f:cons_f:cons_g:cons_h2:cons_i:cons_k:null_encArg:null_encode_f:null_encode_j:null_encode_g:null_encode_k:null_encode_h1:null_encode_h2:null_encode_0:null_encode_s:null_encode_i:null_encode_h:null_f:null_h2:null_k:null_i:null_g Rewrite Strategy: INNERMOST ---------------------------------------- (15) 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 null_encArg => 0 null_encode_f => 0 null_encode_j => 0 null_encode_g => 0 null_encode_k => 0 null_encode_h1 => 0 null_encode_h2 => 0 null_encode_0 => 0 null_encode_s => 0 null_encode_i => 0 null_encode_h => 0 null_f => 0 null_h2 => 0 null_k => 0 null_i => 0 null_g => 0 ---------------------------------------- (16) Obligation: Complexity RNTS consisting of the following rules: encArg(z') -{ 0 }-> k(encArg(x_1)) :|: x_1 >= 0, z' = 1 + x_1 encArg(z') -{ 0 }-> i(encArg(x_1)) :|: x_1 >= 0, z' = 1 + x_1 encArg(z') -{ 0 }-> h2(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 }-> g(encArg(x_1)) :|: x_1 >= 0, z' = 1 + x_1 encArg(z') -{ 0 }-> f(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z' = 1 + x_1 + x_2 encArg(z') -{ 0 }-> 0 :|: z' = 0 encArg(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 encArg(z') -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z' = 1 + x_1 encArg(z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z' = 1 + x_1 + x_2 encode_0 -{ 0 }-> 0 :|: encode_f(z', z'') -{ 0 }-> f(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z' = x_1, x_2 >= 0, z'' = x_2 encode_f(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 encode_g(z') -{ 0 }-> g(encArg(x_1)) :|: x_1 >= 0, z' = x_1 encode_g(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 encode_h(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 encode_h(z') -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z' = x_1 encode_h1(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 encode_h1(z', z'') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z' = x_1, x_2 >= 0, z'' = x_2 encode_h2(z', z'', z1) -{ 0 }-> h2(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z1 = x_3, z' = x_1, x_3 >= 0, x_2 >= 0, z'' = x_2 encode_h2(z', z'', z1) -{ 0 }-> 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0 encode_i(z') -{ 0 }-> i(encArg(x_1)) :|: x_1 >= 0, z' = x_1 encode_i(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 encode_j(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 encode_j(z', z'') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z' = x_1, x_2 >= 0, z'' = x_2 encode_k(z') -{ 0 }-> k(encArg(x_1)) :|: x_1 >= 0, z' = x_1 encode_k(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 f(z', z'') -{ 1 }-> h2(0, x, 1 + y + z) :|: z >= 0, z' = x, x >= 0, y >= 0, z'' = 1 + y + z f(z', z'') -{ 1 }-> g(f(x, k(y))) :|: z'' = y, z' = 1 + x + y, x >= 0, y >= 0 f(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 f(z', z'') -{ 0 }-> 1 + x0 + x1 :|: z'' = x1, x0 >= 0, x1 >= 0, z' = x0 g(z') -{ 1 }-> h2(1 + x, y, 1 + z + u) :|: z >= 0, x >= 0, y >= 0, z' = 1 + x + y + (1 + z + u), u >= 0 g(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 h2(z', z'', z1) -{ 1 }-> h2(1 + x, y, 1 + (1 + z) + u) :|: z >= 0, z' = x, x >= 0, y >= 0, z1 = 1 + z + u, z'' = 1 + y + (1 + z + u), u >= 0 h2(z', z'', z1) -{ 0 }-> 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0 h2(z', z'', z1) -{ 0 }-> 1 + x0 + x1 + x2 :|: z'' = x1, x0 >= 0, x1 >= 0, z1 = x2, x2 >= 0, z' = x0 i(z') -{ 1 }-> y :|: x >= 0, y >= 0, z' = 1 + x + (1 + y) i(z') -{ 1 }-> z :|: z >= 0, x >= 0, y >= 0, z' = 1 + (1 + x) + y + (1 + x + z) i(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 k(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 k(z') -{ 1 }-> 1 + 0 + x :|: z' = 1 + x, x >= 0 k(z') -{ 1 }-> 1 + (1 + x) + y :|: z' = 1 + x + y, x >= 0, y >= 0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (17) CompleteCoflocoProof (FINISHED) Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo: eq(start(V, V2, V11),0,[f(V, V2, Out)],[V >= 0,V2 >= 0]). eq(start(V, V2, V11),0,[h2(V, V2, V11, Out)],[V >= 0,V2 >= 0,V11 >= 0]). eq(start(V, V2, V11),0,[k(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[i(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[g(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[encArg(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[fun(V, V2, Out)],[V >= 0,V2 >= 0]). eq(start(V, V2, V11),0,[fun1(V, V2, Out)],[V >= 0,V2 >= 0]). eq(start(V, V2, V11),0,[fun2(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[fun3(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[fun4(V, V2, Out)],[V >= 0,V2 >= 0]). eq(start(V, V2, V11),0,[fun5(V, V2, V11, Out)],[V >= 0,V2 >= 0,V11 >= 0]). eq(start(V, V2, V11),0,[fun6(Out)],[]). eq(start(V, V2, V11),0,[fun7(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[fun8(V, Out)],[V >= 0]). eq(start(V, V2, V11),0,[fun9(V, Out)],[V >= 0]). eq(f(V, V2, Out),1,[k(V3, Ret01),f(V1, Ret01, Ret0),g(Ret0, Ret)],[Out = Ret,V2 = V3,V = 1 + V1 + V3,V1 >= 0,V3 >= 0]). eq(f(V, V2, Out),1,[h2(0, V4, 1 + V6 + V5, Ret1)],[Out = Ret1,V5 >= 0,V = V4,V4 >= 0,V6 >= 0,V2 = 1 + V5 + V6]). eq(h2(V, V2, V11, Out),1,[h2(1 + V8, V9, 1 + (1 + V10) + V7, Ret2)],[Out = Ret2,V10 >= 0,V = V8,V8 >= 0,V9 >= 0,V11 = 1 + V10 + V7,V2 = 2 + V10 + V7 + V9,V7 >= 0]). eq(k(V, Out),1,[],[Out = 1 + V12,V = 1 + V12,V12 >= 0]). eq(k(V, Out),1,[],[Out = 2 + V13 + V14,V = 1 + V13 + V14,V14 >= 0,V13 >= 0]). eq(i(V, Out),1,[],[Out = V16,V16 >= 0,V17 >= 0,V15 >= 0,V = 3 + V15 + V16 + 2*V17]). eq(g(V, Out),1,[h2(1 + V21, V18, 1 + V20 + V19, Ret3)],[Out = Ret3,V20 >= 0,V21 >= 0,V18 >= 0,V = 2 + V18 + V19 + V20 + V21,V19 >= 0]). eq(i(V, Out),1,[],[Out = V22,V23 >= 0,V22 >= 0,V = 2 + V22 + V23]). eq(encArg(V, Out),0,[encArg(V25, Ret011),encArg(V24, Ret11)],[Out = 1 + Ret011 + Ret11,V25 >= 0,V24 >= 0,V = 1 + V24 + V25]). eq(encArg(V, Out),0,[],[Out = 0,V = 0]). eq(encArg(V, Out),0,[encArg(V26, Ret12)],[Out = 1 + Ret12,V26 >= 0,V = 1 + V26]). eq(encArg(V, Out),0,[encArg(V27, Ret02),encArg(V28, Ret13),f(Ret02, Ret13, Ret4)],[Out = Ret4,V27 >= 0,V28 >= 0,V = 1 + V27 + V28]). eq(encArg(V, Out),0,[encArg(V29, Ret03),g(Ret03, Ret5)],[Out = Ret5,V29 >= 0,V = 1 + V29]). eq(encArg(V, Out),0,[encArg(V32, Ret04),encArg(V31, Ret14),encArg(V30, Ret21),h2(Ret04, Ret14, Ret21, Ret6)],[Out = Ret6,V32 >= 0,V = 1 + V30 + V31 + V32,V30 >= 0,V31 >= 0]). eq(encArg(V, Out),0,[encArg(V33, Ret05),i(Ret05, Ret7)],[Out = Ret7,V33 >= 0,V = 1 + V33]). eq(encArg(V, Out),0,[encArg(V34, Ret06),k(Ret06, Ret8)],[Out = Ret8,V34 >= 0,V = 1 + V34]). eq(fun(V, V2, Out),0,[encArg(V36, Ret07),encArg(V35, Ret15),f(Ret07, Ret15, Ret9)],[Out = Ret9,V36 >= 0,V = V36,V35 >= 0,V2 = V35]). eq(fun1(V, V2, Out),0,[encArg(V38, Ret012),encArg(V37, Ret16)],[Out = 1 + Ret012 + Ret16,V38 >= 0,V = V38,V37 >= 0,V2 = V37]). eq(fun2(V, Out),0,[encArg(V39, Ret08),g(Ret08, Ret10)],[Out = Ret10,V39 >= 0,V = V39]). eq(fun3(V, Out),0,[encArg(V40, Ret09),k(Ret09, Ret17)],[Out = Ret17,V40 >= 0,V = V40]). eq(fun4(V, V2, Out),0,[encArg(V41, Ret013),encArg(V42, Ret18)],[Out = 1 + Ret013 + Ret18,V41 >= 0,V = V41,V42 >= 0,V2 = V42]). eq(fun5(V, V2, V11, Out),0,[encArg(V45, Ret010),encArg(V44, Ret19),encArg(V43, Ret22),h2(Ret010, Ret19, Ret22, Ret20)],[Out = Ret20,V45 >= 0,V11 = V43,V = V45,V43 >= 0,V44 >= 0,V2 = V44]). eq(fun6(Out),0,[],[Out = 0]). eq(fun7(V, Out),0,[encArg(V46, Ret110)],[Out = 1 + Ret110,V46 >= 0,V = V46]). eq(fun8(V, Out),0,[encArg(V47, Ret014),i(Ret014, Ret23)],[Out = Ret23,V47 >= 0,V = V47]). eq(fun9(V, Out),0,[encArg(V48, Ret111)],[Out = 1 + Ret111,V48 >= 0,V = V48]). eq(f(V, V2, Out),0,[],[Out = 1 + V49 + V50,V2 = V49,V50 >= 0,V49 >= 0,V = V50]). eq(h2(V, V2, V11, Out),0,[],[Out = 1 + V51 + V52 + V53,V2 = V53,V51 >= 0,V53 >= 0,V11 = V52,V52 >= 0,V = V51]). eq(encArg(V, Out),0,[],[Out = 0,V54 >= 0,V = V54]). eq(fun(V, V2, Out),0,[],[Out = 0,V56 >= 0,V55 >= 0,V2 = V55,V = V56]). eq(fun1(V, V2, Out),0,[],[Out = 0,V58 >= 0,V57 >= 0,V2 = V57,V = V58]). eq(fun2(V, Out),0,[],[Out = 0,V59 >= 0,V = V59]). eq(fun3(V, Out),0,[],[Out = 0,V60 >= 0,V = V60]). eq(fun4(V, V2, Out),0,[],[Out = 0,V61 >= 0,V62 >= 0,V2 = V62,V = V61]). eq(fun5(V, V2, V11, Out),0,[],[Out = 0,V63 >= 0,V11 = V65,V64 >= 0,V2 = V64,V65 >= 0,V = V63]). eq(fun7(V, Out),0,[],[Out = 0,V66 >= 0,V = V66]). eq(fun8(V, Out),0,[],[Out = 0,V67 >= 0,V = V67]). eq(fun9(V, Out),0,[],[Out = 0,V68 >= 0,V = V68]). eq(f(V, V2, Out),0,[],[Out = 0,V70 >= 0,V69 >= 0,V2 = V69,V = V70]). eq(h2(V, V2, V11, Out),0,[],[Out = 0,V73 >= 0,V11 = V72,V71 >= 0,V2 = V71,V72 >= 0,V = V73]). eq(k(V, Out),0,[],[Out = 0,V74 >= 0,V = V74]). eq(i(V, Out),0,[],[Out = 0,V75 >= 0,V = V75]). eq(g(V, Out),0,[],[Out = 0,V76 >= 0,V = V76]). input_output_vars(f(V,V2,Out),[V,V2],[Out]). input_output_vars(h2(V,V2,V11,Out),[V,V2,V11],[Out]). input_output_vars(k(V,Out),[V],[Out]). input_output_vars(i(V,Out),[V],[Out]). input_output_vars(g(V,Out),[V],[Out]). input_output_vars(encArg(V,Out),[V],[Out]). input_output_vars(fun(V,V2,Out),[V,V2],[Out]). input_output_vars(fun1(V,V2,Out),[V,V2],[Out]). input_output_vars(fun2(V,Out),[V],[Out]). input_output_vars(fun3(V,Out),[V],[Out]). input_output_vars(fun4(V,V2,Out),[V,V2],[Out]). input_output_vars(fun5(V,V2,V11,Out),[V,V2,V11],[Out]). input_output_vars(fun6(Out),[],[Out]). input_output_vars(fun7(V,Out),[V],[Out]). input_output_vars(fun8(V,Out),[V],[Out]). input_output_vars(fun9(V,Out),[V],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [h2/4] 1. non_recursive : [g/2] 2. non_recursive : [k/2] 3. recursive [non_tail] : [f/3] 4. non_recursive : [i/2] 5. recursive [non_tail,multiple] : [encArg/2] 6. non_recursive : [fun/3] 7. non_recursive : [fun1/3] 8. non_recursive : [fun2/2] 9. non_recursive : [fun3/2] 10. non_recursive : [fun4/3] 11. non_recursive : [fun5/4] 12. non_recursive : [fun6/1] 13. non_recursive : [fun7/2] 14. non_recursive : [fun8/2] 15. non_recursive : [fun9/2] 16. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into h2/4 1. SCC is partially evaluated into g/2 2. SCC is partially evaluated into k/2 3. SCC is partially evaluated into f/3 4. SCC is partially evaluated into i/2 5. SCC is partially evaluated into encArg/2 6. SCC is partially evaluated into fun/3 7. SCC is partially evaluated into fun1/3 8. SCC is partially evaluated into fun2/2 9. SCC is partially evaluated into fun3/2 10. SCC is partially evaluated into fun4/3 11. SCC is partially evaluated into fun5/4 12. SCC is completely evaluated into other SCCs 13. SCC is partially evaluated into fun7/2 14. SCC is partially evaluated into fun8/2 15. SCC is partially evaluated into fun9/2 16. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations h2/4 * CE 22 is refined into CE [57] * CE 23 is refined into CE [58] * CE 21 is refined into CE [59] ### Cost equations --> "Loop" of h2/4 * CEs [59] --> Loop 29 * CEs [57] --> Loop 30 * CEs [58] --> Loop 31 ### Ranking functions of CR h2(V,V2,V11,Out) * RF of phase [29]: [V2/2-1/2,V2/3-V11/3] #### Partial ranking functions of CR h2(V,V2,V11,Out) * Partial RF of phase [29]: - RF of loop [29:1]: V2/2-1/2 V2/3-V11/3 ### Specialization of cost equations g/2 * CE 29 is refined into CE [60,61,62] * CE 30 is refined into CE [63] ### Cost equations --> "Loop" of g/2 * CEs [62] --> Loop 32 * CEs [61] --> Loop 33 * CEs [60,63] --> Loop 34 ### Ranking functions of CR g(V,Out) #### Partial ranking functions of CR g(V,Out) ### Specialization of cost equations k/2 * CE 24 is refined into CE [64] * CE 25 is refined into CE [65] * CE 26 is refined into CE [66] ### Cost equations --> "Loop" of k/2 * CEs [64] --> Loop 35 * CEs [65] --> Loop 36 * CEs [66] --> Loop 37 ### Ranking functions of CR k(V,Out) #### Partial ranking functions of CR k(V,Out) ### Specialization of cost equations f/3 * CE 18 is refined into CE [67,68,69] * CE 19 is refined into CE [70] * CE 20 is refined into CE [71] * CE 17 is refined into CE [72,73,74,75,76,77,78,79,80] ### Cost equations --> "Loop" of f/3 * CEs [80] --> Loop 38 * CEs [79] --> Loop 39 * CEs [77] --> Loop 40 * CEs [76] --> Loop 41 * CEs [74] --> Loop 42 * CEs [73] --> Loop 43 * CEs [78] --> Loop 44 * CEs [75] --> Loop 45 * CEs [72] --> Loop 46 * CEs [69] --> Loop 47 * CEs [68,70] --> Loop 48 * CEs [67,71] --> Loop 49 ### Ranking functions of CR f(V,V2,Out) * RF of phase [38,39,40,41]: [V/2-1/2,V/2-V2/2] * RF of phase [42,43]: [V,V-V2] * RF of phase [44,45]: [V/2-1/2,V/2-V2/2] * RF of phase [46]: [V,V-V2] #### Partial ranking functions of CR f(V,V2,Out) * Partial RF of phase [38,39,40,41]: - RF of loop [38:1,39:1]: V/2-V2/2 - RF of loop [38:1,39:1,40:1,41:1]: V/2-1/2 - RF of loop [40:1,41:1]: V/3-V2/3 * Partial RF of phase [42,43]: - RF of loop [42:1,43:1]: V V-V2 * Partial RF of phase [44,45]: - RF of loop [44:1]: V/2-V2/2 - RF of loop [44:1,45:1]: V/2-1/2 - RF of loop [45:1]: V/3-V2/3 * Partial RF of phase [46]: - RF of loop [46:1]: V V-V2 ### Specialization of cost equations i/2 * CE 27 is refined into CE [81] * CE 28 is refined into CE [82] ### Cost equations --> "Loop" of i/2 * CEs [81] --> Loop 50 * CEs [82] --> Loop 51 ### Ranking functions of CR i(V,Out) #### Partial ranking functions of CR i(V,Out) ### Specialization of cost equations encArg/2 * CE 32 is refined into CE [83] * CE 33 is refined into CE [84] * CE 35 is refined into CE [85,86,87] * CE 37 is refined into CE [88,89] * CE 38 is refined into CE [90,91,92] * CE 36 is refined into CE [93,94,95] * CE 31 is refined into CE [96] * CE 34 is refined into CE [97,98,99,100] ### Cost equations --> "Loop" of encArg/2 * CEs [100] --> Loop 52 * CEs [99] --> Loop 53 * CEs [96,98] --> Loop 54 * CEs [97] --> Loop 55 * CEs [95] --> Loop 56 * CEs [94] --> Loop 57 * CEs [93] --> Loop 58 * CEs [87] --> Loop 59 * CEs [89] --> Loop 60 * CEs [84,86,91] --> Loop 61 * CEs [92] --> Loop 62 * CEs [85,88,90] --> Loop 63 * CEs [83] --> Loop 64 ### Ranking functions of CR encArg(V,Out) * RF of phase [52,53,54,55,56,57,58,59,60,61,62,63]: [V] #### Partial ranking functions of CR encArg(V,Out) * Partial RF of phase [52,53,54,55,56,57,58,59,60,61,62,63]: - RF of loop [52:1,52:2,53:1,53:2,54:1,54:2,55:1,55:2,56:1,56:2,56:3,57:1,57:2,57:3,58:1,58:2,58:3,59:1,60:1,61:1,62:1,63:1]: V ### Specialization of cost equations fun/3 * CE 39 is refined into CE [101,102,103,104,105,106,107,108,109,110,111] * CE 40 is refined into CE [112] ### Cost equations --> "Loop" of fun/3 * CEs [109,111] --> Loop 65 * CEs [106,107,110] --> Loop 66 * CEs [104] --> Loop 67 * CEs [102] --> Loop 68 * CEs [101,103,105,108,112] --> Loop 69 ### Ranking functions of CR fun(V,V2,Out) #### Partial ranking functions of CR fun(V,V2,Out) ### Specialization of cost equations fun1/3 * CE 41 is refined into CE [113,114,115,116] * CE 42 is refined into CE [117] ### Cost equations --> "Loop" of fun1/3 * CEs [116] --> Loop 70 * CEs [115] --> Loop 71 * CEs [114] --> Loop 72 * CEs [113] --> Loop 73 * CEs [117] --> Loop 74 ### Ranking functions of CR fun1(V,V2,Out) #### Partial ranking functions of CR fun1(V,V2,Out) ### Specialization of cost equations fun2/2 * CE 43 is refined into CE [118,119,120,121] * CE 44 is refined into CE [122] ### Cost equations --> "Loop" of fun2/2 * CEs [120,121] --> Loop 75 * CEs [118,119,122] --> Loop 76 ### Ranking functions of CR fun2(V,Out) #### Partial ranking functions of CR fun2(V,Out) ### Specialization of cost equations fun3/2 * CE 45 is refined into CE [123,124,125,126] * CE 46 is refined into CE [127] ### Cost equations --> "Loop" of fun3/2 * CEs [125] --> Loop 77 * CEs [126] --> Loop 78 * CEs [123,124,127] --> Loop 79 ### Ranking functions of CR fun3(V,Out) #### Partial ranking functions of CR fun3(V,Out) ### Specialization of cost equations fun4/3 * CE 47 is refined into CE [128,129,130,131] * CE 48 is refined into CE [132] ### Cost equations --> "Loop" of fun4/3 * CEs [131] --> Loop 80 * CEs [130] --> Loop 81 * CEs [129] --> Loop 82 * CEs [128] --> Loop 83 * CEs [132] --> Loop 84 ### Ranking functions of CR fun4(V,V2,Out) #### Partial ranking functions of CR fun4(V,V2,Out) ### Specialization of cost equations fun5/4 * CE 49 is refined into CE [133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150] * CE 50 is refined into CE [151] ### Cost equations --> "Loop" of fun5/4 * CEs [149,150] --> Loop 85 * CEs [147] --> Loop 86 * CEs [145] --> Loop 87 * CEs [143] --> Loop 88 * CEs [140,141] --> Loop 89 * CEs [138] --> Loop 90 * CEs [136] --> Loop 91 * CEs [134] --> Loop 92 * CEs [133,135,137,139,142,144,146,148,151] --> Loop 93 ### Ranking functions of CR fun5(V,V2,V11,Out) #### Partial ranking functions of CR fun5(V,V2,V11,Out) ### Specialization of cost equations fun7/2 * CE 51 is refined into CE [152,153] * CE 52 is refined into CE [154] ### Cost equations --> "Loop" of fun7/2 * CEs [153] --> Loop 94 * CEs [152] --> Loop 95 * CEs [154] --> Loop 96 ### Ranking functions of CR fun7(V,Out) #### Partial ranking functions of CR fun7(V,Out) ### Specialization of cost equations fun8/2 * CE 53 is refined into CE [155,156,157] * CE 54 is refined into CE [158] ### Cost equations --> "Loop" of fun8/2 * CEs [157] --> Loop 97 * CEs [155,156,158] --> Loop 98 ### Ranking functions of CR fun8(V,Out) #### Partial ranking functions of CR fun8(V,Out) ### Specialization of cost equations fun9/2 * CE 55 is refined into CE [159,160] * CE 56 is refined into CE [161] ### Cost equations --> "Loop" of fun9/2 * CEs [160] --> Loop 99 * CEs [159] --> Loop 100 * CEs [161] --> Loop 101 ### Ranking functions of CR fun9(V,Out) #### Partial ranking functions of CR fun9(V,Out) ### Specialization of cost equations start/3 * CE 1 is refined into CE [162,163,164,165] * CE 2 is refined into CE [166,167,168] * CE 3 is refined into CE [169,170,171] * CE 4 is refined into CE [172,173] * CE 5 is refined into CE [174,175,176] * CE 6 is refined into CE [177,178] * CE 7 is refined into CE [179,180,181,182,183] * CE 8 is refined into CE [184,185,186,187,188] * CE 9 is refined into CE [189,190] * CE 10 is refined into CE [191,192,193] * CE 11 is refined into CE [194,195,196,197,198] * CE 12 is refined into CE [199,200,201,202,203,204,205,206,207] * CE 13 is refined into CE [208] * CE 14 is refined into CE [209,210,211] * CE 15 is refined into CE [212,213] * CE 16 is refined into CE [214,215,216] ### Cost equations --> "Loop" of start/3 * CEs [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] --> Loop 102 ### Ranking functions of CR start(V,V2,V11) #### Partial ranking functions of CR start(V,V2,V11) Computing Bounds ===================================== #### Cost of chains of h2(V,V2,V11,Out): * Chain [[29],31]: 1*it(29)+0 Such that:it(29) =< V2/3-V11/3 with precondition: [Out=0,V>=0,V11>=1,V2>=V11+1] * Chain [[29],30]: 1*it(29)+0 Such that:it(29) =< V2/3-V11/3 with precondition: [V>=0,V11>=1,Out>=V+V11+3,V+V2+2>=Out] * Chain [31]: 0 with precondition: [Out=0,V>=0,V2>=0,V11>=0] * Chain [30]: 0 with precondition: [V+V2+V11+1=Out,V>=0,V2>=0,V11>=0] #### Cost of chains of g(V,Out): * Chain [34]: 1*s(2)+1 Such that:s(2) =< V/3 with precondition: [Out=0,V>=0] * Chain [33]: 1 with precondition: [V+1=Out,V>=2] * Chain [32]: 1*s(3)+1 Such that:s(3) =< V/3 with precondition: [Out>=5,V+1>=Out] #### Cost of chains of k(V,Out): * Chain [37]: 0 with precondition: [Out=0,V>=0] * Chain [36]: 1 with precondition: [V+1=Out,V>=1] * Chain [35]: 1 with precondition: [V=Out,V>=1] #### Cost of chains of f(V,V2,Out): * Chain [[46],[42,43],48]: 6*it(42)+1*s(6)+1*s(9)+1 Such that:aux(8) =< V/3-V2/3 aux(9) =< V-V2 it(42) =< aux(9) s(6) =< it(42)*aux(9) s(9) =< it(42)*aux(8) with precondition: [Out=0,V2>=0,V>=V2+3] * Chain [[46],49]: 3*it(46)+1*s(9)+1 Such that:aux(8) =< V/3-V2/3 aux(10) =< V-V2 it(46) =< aux(10) s(9) =< it(46)*aux(8) with precondition: [Out=0,V2>=0,V>=V2+1] * Chain [[46],48]: 2*it(46)+1*s(9)+1 Such that:it(46) =< V-V2 aux(8) =< V/3-V2/3 s(9) =< it(46)*aux(8) with precondition: [Out=0,V2>=0,V>=V2+1] * Chain [[44,45],[46],[42,43],48]: 6*it(42)+3*it(44)+3*it(45)+2*s(6)+1*s(15)+1*s(16)+1 Such that:aux(13) =< V/2 aux(14) =< V/2-V2/2 aux(11) =< V/3 it(45) =< V/3-V2/3 aux(17) =< V-V2 it(42) =< aux(17) s(6) =< it(42)*aux(17) it(44) =< aux(13) it(45) =< aux(13) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(17) it(45) =< aux(17) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+4] * Chain [[44,45],[46],49]: 3*it(44)+3*it(45)+3*it(46)+1*s(9)+1*s(15)+1*s(16)+1 Such that:aux(13) =< V/2 aux(14) =< V/2-V2/2 aux(11) =< V/3 it(45) =< V/3-V2/3 aux(18) =< V-V2 it(46) =< aux(18) s(9) =< it(46)*aux(18) it(44) =< aux(13) it(45) =< aux(13) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(18) it(45) =< aux(18) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+2] * Chain [[44,45],[46],48]: 3*it(44)+3*it(45)+2*it(46)+1*s(9)+1*s(15)+1*s(16)+1 Such that:aux(13) =< V/2 aux(14) =< V/2-V2/2 aux(11) =< V/3 aux(19) =< V-V2 aux(20) =< V/3-V2/3 it(46) =< aux(19) it(45) =< aux(20) s(9) =< it(46)*aux(20) it(44) =< aux(13) it(45) =< aux(13) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(19) it(45) =< aux(19) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+2] * Chain [[44,45],[42,43],48]: 4*it(42)+3*it(44)+3*it(45)+1*s(6)+1*s(15)+1*s(16)+1 Such that:aux(13) =< V/2 aux(14) =< V/2-V2/2 aux(11) =< V/3 aux(21) =< V aux(22) =< V-V2 aux(23) =< V/3-V2/3 it(45) =< aux(23) it(42) =< aux(21) it(42) =< aux(22) s(6) =< it(42)*aux(23) it(44) =< aux(13) it(45) =< aux(13) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(22) it(45) =< aux(22) it(44) =< aux(21) it(45) =< aux(21) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+3] * Chain [[44,45],[38,39,40,41],[42,43],48]: 9*it(38)+9*it(40)+4*it(42)+1*s(6)+1*s(15)+1*s(16)+1*s(21)+1*s(22)+1 Such that:aux(11) =< V/3 aux(35) =< V aux(36) =< V-V2 aux(37) =< V/2 aux(38) =< V/2-V2/2 aux(39) =< V/3-V2/3 it(40) =< aux(39) it(42) =< aux(35) it(42) =< aux(36) s(6) =< it(42)*aux(39) it(38) =< aux(37) it(40) =< aux(37) it(38) =< aux(38) it(40) =< aux(38) it(38) =< aux(36) it(40) =< aux(36) it(38) =< aux(35) it(40) =< aux(35) aux(25) =< aux(35)+1/3 s(21) =< it(38)*aux(35) s(22) =< it(40)*aux(25) aux(12) =< aux(11)+1/3 s(15) =< it(38)*aux(11) s(16) =< it(40)*aux(12) with precondition: [Out=0,V2>=1,V>=3*V2+4] * Chain [[44,45],[38,39,40,41],48]: 6*it(38)+6*it(40)+6*it(44)+1*s(15)+1*s(16)+1*s(21)+1*s(22)+1 Such that:aux(24) =< V aux(15) =< 2*V-V2/2+1 aux(31) =< 4*V-V2+2 aux(14) =< V/2-V2/2 aux(11) =< V/3 aux(41) =< V-V2 aux(42) =< V/2 aux(43) =< 4/3*V-V2/3+2/3 it(44) =< aux(43) it(38) =< aux(42) it(40) =< aux(42) it(38) =< aux(41) it(40) =< aux(41) it(38) =< aux(43) it(40) =< aux(43) it(40) =< aux(31) aux(25) =< aux(24)+1/3 s(21) =< it(38)*aux(24) s(22) =< it(40)*aux(25) it(44) =< aux(42) it(44) =< aux(14) it(44) =< aux(15) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(44)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+2] * Chain [[44,45],[38,39,40,41],47]: 9*it(38)+9*it(40)+1*s(15)+1*s(16)+1*s(21)+1*s(22)+1*s(23)+1 Such that:aux(24) =< V aux(11) =< V/3 aux(46) =< V-V2 aux(47) =< V/2 aux(48) =< V/2-V2/2 aux(49) =< V/3-V2/3 it(40) =< aux(49) s(23) =< aux(49) it(38) =< aux(47) it(40) =< aux(47) it(38) =< aux(48) it(40) =< aux(48) it(38) =< aux(46) it(40) =< aux(46) aux(25) =< aux(24)+1/3 s(21) =< it(38)*aux(24) s(22) =< it(40)*aux(25) aux(12) =< aux(11)+1/3 s(15) =< it(38)*aux(11) s(16) =< it(40)*aux(12) with precondition: [Out=0,V2>=1,V>=3*V2+3] * Chain [[44,45],49]: 3*it(44)+3*it(45)+1*s(10)+1*s(15)+1*s(16)+1 Such that:aux(14) =< V/2-V2/2 aux(11) =< V/3 s(10) =< V/3-2/3*V2 it(45) =< V/3-V2/3 aux(15) =< 2/3*V-V2/6+1/3 aux(50) =< V/2 it(44) =< aux(50) it(45) =< aux(50) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(15) it(45) =< aux(15) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=V2+1] * Chain [[44,45],48]: 3*it(44)+3*it(45)+1*s(15)+1*s(16)+1 Such that:aux(14) =< V/2-V2/2 aux(11) =< V/3 it(45) =< V/3-V2/3 aux(15) =< 2/3*V-V2/6+1/3 aux(51) =< V/2 it(44) =< aux(51) it(45) =< aux(51) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(15) it(45) =< aux(15) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=V2+1] * Chain [[44,45],47]: 3*it(44)+3*it(45)+1*s(15)+1*s(16)+1*s(23)+1 Such that:aux(13) =< V/2 aux(14) =< V/2-V2/2 aux(11) =< V/3 it(45) =< V/3-V2/3 aux(52) =< V-V2 s(23) =< aux(52) it(44) =< aux(13) it(45) =< aux(13) it(44) =< aux(14) it(45) =< aux(14) it(44) =< aux(52) it(45) =< aux(52) aux(12) =< aux(11)+1/3 s(15) =< it(44)*aux(11) s(16) =< it(45)*aux(12) with precondition: [Out=0,V2>=1,V>=2*V2+2] * Chain [[42,43],48]: 4*it(42)+1*s(6)+1 Such that:aux(1) =< V/3-V2/3 aux(6) =< V aux(7) =< V-V2 it(42) =< aux(6) it(42) =< aux(7) s(6) =< it(42)*aux(1) with precondition: [V2>=0,Out>=3,V+1>=Out+V2] * Chain [[38,39,40,41],[42,43],48]: 6*it(38)+6*it(40)+4*it(42)+1*s(6)+1*s(21)+1*s(22)+1 Such that:aux(26) =< V/2 aux(27) =< V/2-V2/2 aux(24) =< V/3 aux(32) =< V aux(33) =< V-V2 aux(34) =< V/3-V2/3 it(42) =< aux(32) it(42) =< aux(33) s(6) =< it(42)*aux(34) it(38) =< aux(26) it(40) =< aux(26) it(38) =< aux(27) it(40) =< aux(27) it(38) =< aux(33) it(40) =< aux(33) it(38) =< aux(32) it(40) =< aux(32) it(40) =< aux(34) aux(25) =< aux(24)+1/3 s(21) =< it(38)*aux(24) s(22) =< it(40)*aux(25) with precondition: [V2>=1,Out>=4,V+1>=2*V2+Out] * Chain [[38,39,40,41],48]: 6*it(38)+6*it(40)+1*s(21)+1*s(22)+1 Such that:aux(27) =< V/2-V2/2 aux(24) =< V/3 aux(30) =< V/3-V2/3 aux(28) =< 2/3*V-V2/6+1/3 aux(31) =< 4/9*V-V2/9+2/9 aux(40) =< V/2 it(38) =< aux(40) it(40) =< aux(40) it(38) =< aux(27) it(40) =< aux(27) it(38) =< aux(28) it(40) =< aux(28) it(40) =< aux(30) it(40) =< aux(31) aux(25) =< aux(24)+1/3 s(21) =< it(38)*aux(24) s(22) =< it(40)*aux(25) with precondition: [V2>=1,Out>=3,V>=V2+1,V+2>=Out] * Chain [[38,39,40,41],47]: 6*it(38)+6*it(40)+1*s(21)+1*s(22)+1*s(23)+1 Such that:aux(26) =< V/2 aux(27) =< V/2-V2/2 aux(24) =< V/3 aux(44) =< V-V2 aux(45) =< V/3-V2/3 s(23) =< aux(45) it(38) =< aux(26) it(40) =< aux(26) it(38) =< aux(27) it(40) =< aux(27) it(38) =< aux(44) it(40) =< aux(44) it(40) =< aux(45) aux(25) =< aux(24)+1/3 s(21) =< it(38)*aux(24) s(22) =< it(40)*aux(25) with precondition: [V2>=1,Out>=5,V>=2*V2+2,V+2>=Out+V2] * Chain [49]: 1*s(10)+1 Such that:s(10) =< V/3-V2/3 with precondition: [Out=0,V>=0,V2>=0] * Chain [48]: 1 with precondition: [V+V2+1=Out,V>=0,V2>=0] * Chain [47]: 1*s(23)+1 Such that:s(23) =< V/3-V2/3 with precondition: [V2>=1,Out>=V2+3,V+2>=Out] #### Cost of chains of i(V,Out): * Chain [51]: 0 with precondition: [Out=0,V>=0] * Chain [50]: 1 with precondition: [Out>=0,V>=Out+2] #### Cost of chains of encArg(V,Out): * Chain [64]: 0 with precondition: [Out=0,V>=0] * Chain [multiple([52,53,54,55,56,57,58,59,60,61,62,63],[[64]])]: 2*it(52)+7*it(54)+2*s(337)+6*s(338)+6*s(339)+1*s(340)+1*s(341)+6*s(342)+6*s(343)+1*s(344)+1*s(345)+8*s(351)+2*s(352)+6*s(353)+6*s(354)+1*s(355)+1*s(356)+3*s(360)+31*s(361)+33*s(362)+6*s(363)+33*s(364)+2*s(365)+2*s(366)+7*s(367)+7*s(368)+6*s(369)+6*s(370)+6*s(371)+1*s(372)+1*s(373)+1*s(374)+1*s(375)+6*s(376)+4*s(377)+6*s(378)+2*s(379)+2*s(380)+1*s(388)+1*s(389)+1*s(390)+1*s(391)+0 Such that:aux(99) =< V aux(101) =< V/2 aux(102) =< V/3 it(54) =< aux(99) it(56) =< aux(99) it(57) =< aux(99) it(52) =< aux(101) it(56) =< aux(101) it(56) =< aux(102) aux(96) =< aux(99)*(1/3)+1/3 aux(94) =< aux(99)*(1/3) aux(93) =< aux(99)*(1/3)-1/3 aux(76) =< aux(99) aux(85) =< aux(99)*2+2 aux(82) =< aux(99)+1 s(391) =< it(54)*aux(96) s(390) =< it(54)*aux(94) s(389) =< it(57)*aux(94) s(388) =< it(56)*aux(93) aux(90) =< it(54)*aux(76) aux(86) =< it(54)*aux(85) aux(83) =< it(52)*aux(82) aux(77) =< it(52)*aux(76) s(387) =< aux(90)*(1/3) s(382) =< aux(90)*(1/2) s(385) =< aux(86)*(2/3) s(381) =< aux(86)*(1/3) s(384) =< aux(86)*2 s(357) =< aux(83)*(1/3) s(359) =< aux(83)*(1/2) s(346) =< aux(77)*(4/9) s(348) =< aux(77)*(2/3) s(347) =< aux(77)*(1/3) s(349) =< aux(77)*(1/2) s(360) =< s(387) s(361) =< aux(90) s(362) =< s(387) s(363) =< s(387) s(364) =< s(382) s(362) =< s(382) s(364) =< aux(90) s(362) =< aux(90) s(311) =< aux(99)+1/3 s(365) =< s(364)*aux(99) s(366) =< s(362)*s(311) s(227) =< aux(94)+1/3 s(367) =< s(364)*aux(94) s(368) =< s(362)*s(227) s(369) =< s(385) s(370) =< s(382) s(371) =< s(382) s(370) =< aux(90) s(371) =< aux(90) s(370) =< s(385) s(371) =< s(385) s(371) =< s(384) s(372) =< s(370)*aux(99) s(373) =< s(371)*s(311) s(369) =< s(382) s(369) =< aux(86) s(374) =< s(369)*aux(94) s(375) =< s(369)*s(227) s(376) =< s(361)*aux(94) s(377) =< s(361)*aux(99) s(378) =< s(382) s(363) =< s(382) s(378) =< s(381) s(363) =< s(381) s(379) =< s(378)*aux(94) s(380) =< s(363)*s(227) s(351) =< aux(83) s(352) =< s(351)*aux(96) s(353) =< s(359) s(354) =< s(359) s(353) =< aux(83) s(354) =< aux(83) s(354) =< s(357) s(254) =< aux(96)+1/3 s(355) =< s(353)*aux(96) s(356) =< s(354)*s(254) s(337) =< s(347) s(338) =< s(349) s(339) =< s(349) s(338) =< aux(77) s(339) =< aux(77) s(339) =< s(347) s(340) =< s(338)*aux(94) s(341) =< s(339)*s(227) s(342) =< s(349) s(343) =< s(349) s(342) =< s(348) s(343) =< s(348) s(343) =< s(347) s(343) =< s(346) s(344) =< s(342)*aux(94) s(345) =< s(343)*s(227) with precondition: [V>=1,Out>=0,V>=Out] #### Cost of chains of fun(V,V2,Out): * Chain [69]: 14*s(437)+4*s(440)+2*s(447)+2*s(448)+2*s(449)+2*s(450)+6*s(466)+62*s(467)+66*s(468)+12*s(469)+66*s(470)+4*s(472)+4*s(473)+14*s(475)+14*s(476)+12*s(477)+12*s(478)+12*s(479)+2*s(480)+2*s(481)+2*s(482)+2*s(483)+12*s(484)+8*s(485)+12*s(486)+4*s(487)+4*s(488)+16*s(489)+4*s(490)+12*s(491)+12*s(492)+2*s(494)+2*s(495)+4*s(496)+12*s(497)+12*s(498)+2*s(499)+2*s(500)+12*s(501)+12*s(502)+2*s(503)+2*s(504)+76*s(550)+4*s(553)+2*s(560)+2*s(561)+2*s(562)+2*s(563)+6*s(579)+62*s(580)+66*s(581)+12*s(582)+66*s(583)+4*s(585)+4*s(586)+14*s(588)+14*s(589)+12*s(590)+12*s(591)+12*s(592)+2*s(593)+2*s(594)+2*s(595)+2*s(596)+12*s(597)+8*s(598)+12*s(599)+4*s(600)+4*s(601)+16*s(602)+4*s(603)+12*s(604)+12*s(605)+2*s(607)+2*s(608)+4*s(609)+12*s(610)+12*s(611)+2*s(612)+2*s(613)+12*s(614)+12*s(615)+2*s(616)+2*s(617)+6*s(620)+66*s(631)+12*s(632)+66*s(633)+4*s(635)+4*s(636)+14*s(638)+14*s(639)+12*s(640)+12*s(641)+12*s(642)+2*s(643)+2*s(644)+2*s(645)+2*s(646)+12*s(647)+8*s(654)+12*s(655)+4*s(656)+4*s(657)+1 Such that:aux(111) =< V aux(112) =< 2*V+1 aux(113) =< 4*V+2 aux(114) =< V/2 aux(115) =< V/3 aux(116) =< 2/3*V+1/3 aux(117) =< 4/3*V+2/3 aux(118) =< V2 aux(119) =< V2/2 aux(120) =< V2/3 s(620) =< aux(115) s(550) =< aux(111) s(631) =< aux(115) s(632) =< aux(115) s(633) =< aux(114) s(631) =< aux(114) s(633) =< aux(111) s(631) =< aux(111) s(584) =< aux(111)+1/3 s(635) =< s(633)*aux(111) s(636) =< s(631)*s(584) s(637) =< aux(115)+1/3 s(638) =< s(633)*aux(115) s(639) =< s(631)*s(637) s(640) =< aux(117) s(641) =< aux(114) s(642) =< aux(114) s(641) =< aux(111) s(642) =< aux(111) s(641) =< aux(117) s(642) =< aux(117) s(642) =< aux(113) s(643) =< s(641)*aux(111) s(644) =< s(642)*s(584) s(640) =< aux(114) s(640) =< aux(112) s(645) =< s(640)*aux(115) s(646) =< s(640)*s(637) s(647) =< s(550)*aux(115) s(654) =< s(550)*aux(111) s(655) =< aux(114) s(632) =< aux(114) s(655) =< aux(116) s(632) =< aux(116) s(656) =< s(655)*aux(115) s(657) =< s(632)*s(637) s(551) =< aux(111) s(553) =< aux(114) s(551) =< aux(114) s(551) =< aux(115) s(554) =< aux(111)*(1/3)+1/3 s(555) =< aux(111)*(1/3) s(556) =< aux(111)*(1/3)-1/3 s(557) =< aux(111) s(558) =< aux(111)*2+2 s(559) =< aux(111)+1 s(560) =< s(550)*s(554) s(561) =< s(550)*s(555) s(562) =< aux(111)*s(555) s(563) =< s(551)*s(556) s(564) =< s(550)*s(557) s(565) =< s(550)*s(558) s(566) =< s(553)*s(559) s(567) =< s(553)*s(557) s(568) =< s(564)*(1/3) s(569) =< s(564)*(1/2) s(570) =< s(565)*(2/3) s(571) =< s(565)*(1/3) s(572) =< s(565)*2 s(573) =< s(566)*(1/3) s(574) =< s(566)*(1/2) s(575) =< s(567)*(4/9) s(576) =< s(567)*(2/3) s(577) =< s(567)*(1/3) s(578) =< s(567)*(1/2) s(579) =< s(568) s(580) =< s(564) s(581) =< s(568) s(582) =< s(568) s(583) =< s(569) s(581) =< s(569) s(583) =< s(564) s(581) =< s(564) s(585) =< s(583)*aux(111) s(586) =< s(581)*s(584) s(587) =< s(555)+1/3 s(588) =< s(583)*s(555) s(589) =< s(581)*s(587) s(590) =< s(570) s(591) =< s(569) s(592) =< s(569) s(591) =< s(564) s(592) =< s(564) s(591) =< s(570) s(592) =< s(570) s(592) =< s(572) s(593) =< s(591)*aux(111) s(594) =< s(592)*s(584) s(590) =< s(569) s(590) =< s(565) s(595) =< s(590)*s(555) s(596) =< s(590)*s(587) s(597) =< s(580)*s(555) s(598) =< s(580)*aux(111) s(599) =< s(569) s(582) =< s(569) s(599) =< s(571) s(582) =< s(571) s(600) =< s(599)*s(555) s(601) =< s(582)*s(587) s(602) =< s(566) s(603) =< s(602)*s(554) s(604) =< s(574) s(605) =< s(574) s(604) =< s(566) s(605) =< s(566) s(605) =< s(573) s(606) =< s(554)+1/3 s(607) =< s(604)*s(554) s(608) =< s(605)*s(606) s(609) =< s(577) s(610) =< s(578) s(611) =< s(578) s(610) =< s(567) s(611) =< s(567) s(611) =< s(577) s(612) =< s(610)*s(555) s(613) =< s(611)*s(587) s(614) =< s(578) s(615) =< s(578) s(614) =< s(576) s(615) =< s(576) s(615) =< s(577) s(615) =< s(575) s(616) =< s(614)*s(555) s(617) =< s(615)*s(587) s(437) =< aux(118) s(438) =< aux(118) s(440) =< aux(119) s(438) =< aux(119) s(438) =< aux(120) s(441) =< aux(118)*(1/3)+1/3 s(442) =< aux(118)*(1/3) s(443) =< aux(118)*(1/3)-1/3 s(444) =< aux(118) s(445) =< aux(118)*2+2 s(446) =< aux(118)+1 s(447) =< s(437)*s(441) s(448) =< s(437)*s(442) s(449) =< aux(118)*s(442) s(450) =< s(438)*s(443) s(451) =< s(437)*s(444) s(452) =< s(437)*s(445) s(453) =< s(440)*s(446) s(454) =< s(440)*s(444) s(455) =< s(451)*(1/3) s(456) =< s(451)*(1/2) s(457) =< s(452)*(2/3) s(458) =< s(452)*(1/3) s(459) =< s(452)*2 s(460) =< s(453)*(1/3) s(461) =< s(453)*(1/2) s(462) =< s(454)*(4/9) s(463) =< s(454)*(2/3) s(464) =< s(454)*(1/3) s(465) =< s(454)*(1/2) s(466) =< s(455) s(467) =< s(451) s(468) =< s(455) s(469) =< s(455) s(470) =< s(456) s(468) =< s(456) s(470) =< s(451) s(468) =< s(451) s(471) =< aux(118)+1/3 s(472) =< s(470)*aux(118) s(473) =< s(468)*s(471) s(474) =< s(442)+1/3 s(475) =< s(470)*s(442) s(476) =< s(468)*s(474) s(477) =< s(457) s(478) =< s(456) s(479) =< s(456) s(478) =< s(451) s(479) =< s(451) s(478) =< s(457) s(479) =< s(457) s(479) =< s(459) s(480) =< s(478)*aux(118) s(481) =< s(479)*s(471) s(477) =< s(456) s(477) =< s(452) s(482) =< s(477)*s(442) s(483) =< s(477)*s(474) s(484) =< s(467)*s(442) s(485) =< s(467)*aux(118) s(486) =< s(456) s(469) =< s(456) s(486) =< s(458) s(469) =< s(458) s(487) =< s(486)*s(442) s(488) =< s(469)*s(474) s(489) =< s(453) s(490) =< s(489)*s(441) s(491) =< s(461) s(492) =< s(461) s(491) =< s(453) s(492) =< s(453) s(492) =< s(460) s(493) =< s(441)+1/3 s(494) =< s(491)*s(441) s(495) =< s(492)*s(493) s(496) =< s(464) s(497) =< s(465) s(498) =< s(465) s(497) =< s(454) s(498) =< s(454) s(498) =< s(464) s(499) =< s(497)*s(442) s(500) =< s(498)*s(474) s(501) =< s(465) s(502) =< s(465) s(501) =< s(463) s(502) =< s(463) s(502) =< s(464) s(502) =< s(462) s(503) =< s(501)*s(442) s(504) =< s(502)*s(474) with precondition: [Out=0,V>=0,V2>=0] * Chain [68]: 1 with precondition: [Out=1,V>=0,V2>=0] * Chain [67]: 7*s(847)+2*s(850)+1*s(857)+1*s(858)+1*s(859)+1*s(860)+3*s(876)+31*s(877)+33*s(878)+6*s(879)+33*s(880)+2*s(882)+2*s(883)+7*s(885)+7*s(886)+6*s(887)+6*s(888)+6*s(889)+1*s(890)+1*s(891)+1*s(892)+1*s(893)+6*s(894)+4*s(895)+6*s(896)+2*s(897)+2*s(898)+8*s(899)+2*s(900)+6*s(901)+6*s(902)+1*s(904)+1*s(905)+2*s(906)+6*s(907)+6*s(908)+1*s(909)+1*s(910)+6*s(911)+6*s(912)+1*s(913)+1*s(914)+1 Such that:s(844) =< V2 s(845) =< V2/2 s(846) =< V2/3 s(847) =< s(844) s(848) =< s(844) s(850) =< s(845) s(848) =< s(845) s(848) =< s(846) s(851) =< s(844)*(1/3)+1/3 s(852) =< s(844)*(1/3) s(853) =< s(844)*(1/3)-1/3 s(854) =< s(844) s(855) =< s(844)*2+2 s(856) =< s(844)+1 s(857) =< s(847)*s(851) s(858) =< s(847)*s(852) s(859) =< s(844)*s(852) s(860) =< s(848)*s(853) s(861) =< s(847)*s(854) s(862) =< s(847)*s(855) s(863) =< s(850)*s(856) s(864) =< s(850)*s(854) s(865) =< s(861)*(1/3) s(866) =< s(861)*(1/2) s(867) =< s(862)*(2/3) s(868) =< s(862)*(1/3) s(869) =< s(862)*2 s(870) =< s(863)*(1/3) s(871) =< s(863)*(1/2) s(872) =< s(864)*(4/9) s(873) =< s(864)*(2/3) s(874) =< s(864)*(1/3) s(875) =< s(864)*(1/2) s(876) =< s(865) s(877) =< s(861) s(878) =< s(865) s(879) =< s(865) s(880) =< s(866) s(878) =< s(866) s(880) =< s(861) s(878) =< s(861) s(881) =< s(844)+1/3 s(882) =< s(880)*s(844) s(883) =< s(878)*s(881) s(884) =< s(852)+1/3 s(885) =< s(880)*s(852) s(886) =< s(878)*s(884) s(887) =< s(867) s(888) =< s(866) s(889) =< s(866) s(888) =< s(861) s(889) =< s(861) s(888) =< s(867) s(889) =< s(867) s(889) =< s(869) s(890) =< s(888)*s(844) s(891) =< s(889)*s(881) s(887) =< s(866) s(887) =< s(862) s(892) =< s(887)*s(852) s(893) =< s(887)*s(884) s(894) =< s(877)*s(852) s(895) =< s(877)*s(844) s(896) =< s(866) s(879) =< s(866) s(896) =< s(868) s(879) =< s(868) s(897) =< s(896)*s(852) s(898) =< s(879)*s(884) s(899) =< s(863) s(900) =< s(899)*s(851) s(901) =< s(871) s(902) =< s(871) s(901) =< s(863) s(902) =< s(863) s(902) =< s(870) s(903) =< s(851)+1/3 s(904) =< s(901)*s(851) s(905) =< s(902)*s(903) s(906) =< s(874) s(907) =< s(875) s(908) =< s(875) s(907) =< s(864) s(908) =< s(864) s(908) =< s(874) s(909) =< s(907)*s(852) s(910) =< s(908)*s(884) s(911) =< s(875) s(912) =< s(875) s(911) =< s(873) s(912) =< s(873) s(912) =< s(874) s(912) =< s(872) s(913) =< s(911)*s(852) s(914) =< s(912)*s(884) with precondition: [V>=0,V2>=1,Out>=1,V2+1>=Out] * Chain [66]: 37*s(918)+6*s(921)+3*s(928)+3*s(929)+3*s(930)+3*s(931)+9*s(947)+93*s(948)+99*s(949)+18*s(950)+99*s(951)+6*s(953)+6*s(954)+21*s(956)+21*s(957)+18*s(958)+18*s(959)+18*s(960)+3*s(961)+3*s(962)+3*s(963)+3*s(964)+18*s(965)+12*s(966)+18*s(967)+6*s(968)+6*s(969)+24*s(970)+6*s(971)+18*s(972)+18*s(973)+3*s(975)+3*s(976)+6*s(977)+18*s(978)+18*s(979)+3*s(980)+3*s(981)+18*s(982)+18*s(983)+3*s(984)+3*s(985)+4*s(1064)+12*s(1065)+12*s(1066)+2*s(1068)+2*s(1069)+7*s(1144)+2*s(1147)+1*s(1154)+1*s(1155)+1*s(1156)+1*s(1157)+3*s(1173)+31*s(1174)+33*s(1175)+6*s(1176)+33*s(1177)+2*s(1179)+2*s(1180)+7*s(1182)+7*s(1183)+6*s(1184)+6*s(1185)+6*s(1186)+1*s(1187)+1*s(1188)+1*s(1189)+1*s(1190)+6*s(1191)+4*s(1192)+6*s(1193)+2*s(1194)+2*s(1195)+8*s(1196)+2*s(1197)+6*s(1198)+6*s(1199)+1*s(1201)+1*s(1202)+2*s(1203)+6*s(1204)+6*s(1205)+1*s(1206)+1*s(1207)+6*s(1208)+6*s(1209)+1*s(1210)+1*s(1211)+1 Such that:s(1141) =< V2 s(1142) =< V2/2 s(1143) =< V2/3 aux(127) =< V aux(128) =< V/2 aux(129) =< V/3 s(918) =< aux(127) s(1064) =< s(918)*aux(129) s(1065) =< aux(128) s(1066) =< aux(128) s(1065) =< aux(127) s(1066) =< aux(127) s(1066) =< aux(129) s(1067) =< aux(129)+1/3 s(1068) =< s(1065)*aux(129) s(1069) =< s(1066)*s(1067) s(919) =< aux(127) s(921) =< aux(128) s(919) =< aux(128) s(919) =< aux(129) s(922) =< aux(127)*(1/3)+1/3 s(923) =< aux(127)*(1/3) s(924) =< aux(127)*(1/3)-1/3 s(925) =< aux(127) s(926) =< aux(127)*2+2 s(927) =< aux(127)+1 s(928) =< s(918)*s(922) s(929) =< s(918)*s(923) s(930) =< aux(127)*s(923) s(931) =< s(919)*s(924) s(932) =< s(918)*s(925) s(933) =< s(918)*s(926) s(934) =< s(921)*s(927) s(935) =< s(921)*s(925) s(936) =< s(932)*(1/3) s(937) =< s(932)*(1/2) s(938) =< s(933)*(2/3) s(939) =< s(933)*(1/3) s(940) =< s(933)*2 s(941) =< s(934)*(1/3) s(942) =< s(934)*(1/2) s(943) =< s(935)*(4/9) s(944) =< s(935)*(2/3) s(945) =< s(935)*(1/3) s(946) =< s(935)*(1/2) s(947) =< s(936) s(948) =< s(932) s(949) =< s(936) s(950) =< s(936) s(951) =< s(937) s(949) =< s(937) s(951) =< s(932) s(949) =< s(932) s(952) =< aux(127)+1/3 s(953) =< s(951)*aux(127) s(954) =< s(949)*s(952) s(955) =< s(923)+1/3 s(956) =< s(951)*s(923) s(957) =< s(949)*s(955) s(958) =< s(938) s(959) =< s(937) s(960) =< s(937) s(959) =< s(932) s(960) =< s(932) s(959) =< s(938) s(960) =< s(938) s(960) =< s(940) s(961) =< s(959)*aux(127) s(962) =< s(960)*s(952) s(958) =< s(937) s(958) =< s(933) s(963) =< s(958)*s(923) s(964) =< s(958)*s(955) s(965) =< s(948)*s(923) s(966) =< s(948)*aux(127) s(967) =< s(937) s(950) =< s(937) s(967) =< s(939) s(950) =< s(939) s(968) =< s(967)*s(923) s(969) =< s(950)*s(955) s(970) =< s(934) s(971) =< s(970)*s(922) s(972) =< s(942) s(973) =< s(942) s(972) =< s(934) s(973) =< s(934) s(973) =< s(941) s(974) =< s(922)+1/3 s(975) =< s(972)*s(922) s(976) =< s(973)*s(974) s(977) =< s(945) s(978) =< s(946) s(979) =< s(946) s(978) =< s(935) s(979) =< s(935) s(979) =< s(945) s(980) =< s(978)*s(923) s(981) =< s(979)*s(955) s(982) =< s(946) s(983) =< s(946) s(982) =< s(944) s(983) =< s(944) s(983) =< s(945) s(983) =< s(943) s(984) =< s(982)*s(923) s(985) =< s(983)*s(955) s(1144) =< s(1141) s(1145) =< s(1141) s(1147) =< s(1142) s(1145) =< s(1142) s(1145) =< s(1143) s(1148) =< s(1141)*(1/3)+1/3 s(1149) =< s(1141)*(1/3) s(1150) =< s(1141)*(1/3)-1/3 s(1151) =< s(1141) s(1152) =< s(1141)*2+2 s(1153) =< s(1141)+1 s(1154) =< s(1144)*s(1148) s(1155) =< s(1144)*s(1149) s(1156) =< s(1141)*s(1149) s(1157) =< s(1145)*s(1150) s(1158) =< s(1144)*s(1151) s(1159) =< s(1144)*s(1152) s(1160) =< s(1147)*s(1153) s(1161) =< s(1147)*s(1151) s(1162) =< s(1158)*(1/3) s(1163) =< s(1158)*(1/2) s(1164) =< s(1159)*(2/3) s(1165) =< s(1159)*(1/3) s(1166) =< s(1159)*2 s(1167) =< s(1160)*(1/3) s(1168) =< s(1160)*(1/2) s(1169) =< s(1161)*(4/9) s(1170) =< s(1161)*(2/3) s(1171) =< s(1161)*(1/3) s(1172) =< s(1161)*(1/2) s(1173) =< s(1162) s(1174) =< s(1158) s(1175) =< s(1162) s(1176) =< s(1162) s(1177) =< s(1163) s(1175) =< s(1163) s(1177) =< s(1158) s(1175) =< s(1158) s(1178) =< s(1141)+1/3 s(1179) =< s(1177)*s(1141) s(1180) =< s(1175)*s(1178) s(1181) =< s(1149)+1/3 s(1182) =< s(1177)*s(1149) s(1183) =< s(1175)*s(1181) s(1184) =< s(1164) s(1185) =< s(1163) s(1186) =< s(1163) s(1185) =< s(1158) s(1186) =< s(1158) s(1185) =< s(1164) s(1186) =< s(1164) s(1186) =< s(1166) s(1187) =< s(1185)*s(1141) s(1188) =< s(1186)*s(1178) s(1184) =< s(1163) s(1184) =< s(1159) s(1189) =< s(1184)*s(1149) s(1190) =< s(1184)*s(1181) s(1191) =< s(1174)*s(1149) s(1192) =< s(1174)*s(1141) s(1193) =< s(1163) s(1176) =< s(1163) s(1193) =< s(1165) s(1176) =< s(1165) s(1194) =< s(1193)*s(1149) s(1195) =< s(1176)*s(1181) s(1196) =< s(1160) s(1197) =< s(1196)*s(1148) s(1198) =< s(1168) s(1199) =< s(1168) s(1198) =< s(1160) s(1199) =< s(1160) s(1199) =< s(1167) s(1200) =< s(1148)+1/3 s(1201) =< s(1198)*s(1148) s(1202) =< s(1199)*s(1200) s(1203) =< s(1171) s(1204) =< s(1172) s(1205) =< s(1172) s(1204) =< s(1161) s(1205) =< s(1161) s(1205) =< s(1171) s(1206) =< s(1204)*s(1149) s(1207) =< s(1205)*s(1181) s(1208) =< s(1172) s(1209) =< s(1172) s(1208) =< s(1170) s(1209) =< s(1170) s(1209) =< s(1171) s(1209) =< s(1169) s(1210) =< s(1208)*s(1149) s(1211) =< s(1209)*s(1181) with precondition: [V>=1,V2>=0,Out>=1,V+1>=Out] * Chain [65]: 14*s(1228)+4*s(1231)+2*s(1238)+2*s(1239)+2*s(1240)+2*s(1241)+6*s(1257)+62*s(1258)+66*s(1259)+12*s(1260)+66*s(1261)+4*s(1263)+4*s(1264)+14*s(1266)+14*s(1267)+12*s(1268)+12*s(1269)+12*s(1270)+2*s(1271)+2*s(1272)+2*s(1273)+2*s(1274)+12*s(1275)+8*s(1276)+12*s(1277)+4*s(1278)+4*s(1279)+16*s(1280)+4*s(1281)+12*s(1282)+12*s(1283)+2*s(1285)+2*s(1286)+4*s(1287)+12*s(1288)+12*s(1289)+2*s(1290)+2*s(1291)+12*s(1292)+12*s(1293)+2*s(1294)+2*s(1295)+14*s(1299)+4*s(1302)+2*s(1309)+2*s(1310)+2*s(1311)+2*s(1312)+6*s(1328)+62*s(1329)+66*s(1330)+12*s(1331)+66*s(1332)+4*s(1334)+4*s(1335)+14*s(1337)+14*s(1338)+12*s(1339)+12*s(1340)+12*s(1341)+2*s(1342)+2*s(1343)+2*s(1344)+2*s(1345)+12*s(1346)+8*s(1347)+12*s(1348)+4*s(1349)+4*s(1350)+16*s(1351)+4*s(1352)+12*s(1353)+12*s(1354)+2*s(1356)+2*s(1357)+4*s(1358)+12*s(1359)+12*s(1360)+2*s(1361)+2*s(1362)+12*s(1363)+12*s(1364)+2*s(1365)+2*s(1366)+2*s(1516)+6*s(1517)+6*s(1518)+1*s(1520)+1*s(1521)+6*s(1522)+6*s(1523)+1*s(1524)+1*s(1525)+1 Such that:s(1510) =< 2/3*V+1/6 s(1511) =< 4/9*V+1/9 aux(133) =< V aux(134) =< V/2 aux(135) =< V/3 aux(136) =< V2 aux(137) =< V2/2 aux(138) =< V2/3 s(1299) =< aux(136) s(1300) =< aux(136) s(1302) =< aux(137) s(1300) =< aux(137) s(1300) =< aux(138) s(1303) =< aux(136)*(1/3)+1/3 s(1304) =< aux(136)*(1/3) s(1305) =< aux(136)*(1/3)-1/3 s(1306) =< aux(136) s(1307) =< aux(136)*2+2 s(1308) =< aux(136)+1 s(1309) =< s(1299)*s(1303) s(1310) =< s(1299)*s(1304) s(1311) =< aux(136)*s(1304) s(1312) =< s(1300)*s(1305) s(1313) =< s(1299)*s(1306) s(1314) =< s(1299)*s(1307) s(1315) =< s(1302)*s(1308) s(1316) =< s(1302)*s(1306) s(1317) =< s(1313)*(1/3) s(1318) =< s(1313)*(1/2) s(1319) =< s(1314)*(2/3) s(1320) =< s(1314)*(1/3) s(1321) =< s(1314)*2 s(1322) =< s(1315)*(1/3) s(1323) =< s(1315)*(1/2) s(1324) =< s(1316)*(4/9) s(1325) =< s(1316)*(2/3) s(1326) =< s(1316)*(1/3) s(1327) =< s(1316)*(1/2) s(1328) =< s(1317) s(1329) =< s(1313) s(1330) =< s(1317) s(1331) =< s(1317) s(1332) =< s(1318) s(1330) =< s(1318) s(1332) =< s(1313) s(1330) =< s(1313) s(1333) =< aux(136)+1/3 s(1334) =< s(1332)*aux(136) s(1335) =< s(1330)*s(1333) s(1336) =< s(1304)+1/3 s(1337) =< s(1332)*s(1304) s(1338) =< s(1330)*s(1336) s(1339) =< s(1319) s(1340) =< s(1318) s(1341) =< s(1318) s(1340) =< s(1313) s(1341) =< s(1313) s(1340) =< s(1319) s(1341) =< s(1319) s(1341) =< s(1321) s(1342) =< s(1340)*aux(136) s(1343) =< s(1341)*s(1333) s(1339) =< s(1318) s(1339) =< s(1314) s(1344) =< s(1339)*s(1304) s(1345) =< s(1339)*s(1336) s(1346) =< s(1329)*s(1304) s(1347) =< s(1329)*aux(136) s(1348) =< s(1318) s(1331) =< s(1318) s(1348) =< s(1320) s(1331) =< s(1320) s(1349) =< s(1348)*s(1304) s(1350) =< s(1331)*s(1336) s(1351) =< s(1315) s(1352) =< s(1351)*s(1303) s(1353) =< s(1323) s(1354) =< s(1323) s(1353) =< s(1315) s(1354) =< s(1315) s(1354) =< s(1322) s(1355) =< s(1303)+1/3 s(1356) =< s(1353)*s(1303) s(1357) =< s(1354)*s(1355) s(1358) =< s(1326) s(1359) =< s(1327) s(1360) =< s(1327) s(1359) =< s(1316) s(1360) =< s(1316) s(1360) =< s(1326) s(1361) =< s(1359)*s(1304) s(1362) =< s(1360)*s(1336) s(1363) =< s(1327) s(1364) =< s(1327) s(1363) =< s(1325) s(1364) =< s(1325) s(1364) =< s(1326) s(1364) =< s(1324) s(1365) =< s(1363)*s(1304) s(1366) =< s(1364)*s(1336) s(1228) =< aux(133) s(1229) =< aux(133) s(1231) =< aux(134) s(1229) =< aux(134) s(1229) =< aux(135) s(1232) =< aux(133)*(1/3)+1/3 s(1233) =< aux(133)*(1/3) s(1234) =< aux(133)*(1/3)-1/3 s(1235) =< aux(133) s(1236) =< aux(133)*2+2 s(1237) =< aux(133)+1 s(1238) =< s(1228)*s(1232) s(1239) =< s(1228)*s(1233) s(1240) =< aux(133)*s(1233) s(1241) =< s(1229)*s(1234) s(1242) =< s(1228)*s(1235) s(1243) =< s(1228)*s(1236) s(1244) =< s(1231)*s(1237) s(1245) =< s(1231)*s(1235) s(1246) =< s(1242)*(1/3) s(1247) =< s(1242)*(1/2) s(1248) =< s(1243)*(2/3) s(1249) =< s(1243)*(1/3) s(1250) =< s(1243)*2 s(1251) =< s(1244)*(1/3) s(1252) =< s(1244)*(1/2) s(1253) =< s(1245)*(4/9) s(1254) =< s(1245)*(2/3) s(1255) =< s(1245)*(1/3) s(1256) =< s(1245)*(1/2) s(1257) =< s(1246) s(1258) =< s(1242) s(1259) =< s(1246) s(1260) =< s(1246) s(1261) =< s(1247) s(1259) =< s(1247) s(1261) =< s(1242) s(1259) =< s(1242) s(1262) =< aux(133)+1/3 s(1263) =< s(1261)*aux(133) s(1264) =< s(1259)*s(1262) s(1265) =< s(1233)+1/3 s(1266) =< s(1261)*s(1233) s(1267) =< s(1259)*s(1265) s(1268) =< s(1248) s(1269) =< s(1247) s(1270) =< s(1247) s(1269) =< s(1242) s(1270) =< s(1242) s(1269) =< s(1248) s(1270) =< s(1248) s(1270) =< s(1250) s(1271) =< s(1269)*aux(133) s(1272) =< s(1270)*s(1262) s(1268) =< s(1247) s(1268) =< s(1243) s(1273) =< s(1268)*s(1233) s(1274) =< s(1268)*s(1265) s(1275) =< s(1258)*s(1233) s(1276) =< s(1258)*aux(133) s(1277) =< s(1247) s(1260) =< s(1247) s(1277) =< s(1249) s(1260) =< s(1249) s(1278) =< s(1277)*s(1233) s(1279) =< s(1260)*s(1265) s(1280) =< s(1244) s(1281) =< s(1280)*s(1232) s(1282) =< s(1252) s(1283) =< s(1252) s(1282) =< s(1244) s(1283) =< s(1244) s(1283) =< s(1251) s(1284) =< s(1232)+1/3 s(1285) =< s(1282)*s(1232) s(1286) =< s(1283)*s(1284) s(1287) =< s(1255) s(1288) =< s(1256) s(1289) =< s(1256) s(1288) =< s(1245) s(1289) =< s(1245) s(1289) =< s(1255) s(1290) =< s(1288)*s(1233) s(1291) =< s(1289)*s(1265) s(1292) =< s(1256) s(1293) =< s(1256) s(1292) =< s(1254) s(1293) =< s(1254) s(1293) =< s(1255) s(1293) =< s(1253) s(1294) =< s(1292)*s(1233) s(1295) =< s(1293)*s(1265) s(1516) =< aux(135) s(1517) =< aux(134) s(1518) =< aux(134) s(1517) =< aux(133) s(1518) =< aux(133) s(1518) =< aux(135) s(1519) =< aux(135)+1/3 s(1520) =< s(1517)*aux(135) s(1521) =< s(1518)*s(1519) s(1522) =< aux(134) s(1523) =< aux(134) s(1522) =< s(1510) s(1523) =< s(1510) s(1523) =< aux(135) s(1523) =< s(1511) s(1524) =< s(1522)*aux(135) s(1525) =< s(1523)*s(1519) with precondition: [V>=1,V2>=1,Out>=1,V+V2+1>=Out] #### Cost of chains of fun1(V,V2,Out): * Chain [74]: 0 with precondition: [Out=0,V>=0,V2>=0] * Chain [73]: 0 with precondition: [Out=1,V>=0,V2>=0] * Chain [72]: 7*s(1529)+2*s(1532)+1*s(1539)+1*s(1540)+1*s(1541)+1*s(1542)+3*s(1558)+31*s(1559)+33*s(1560)+6*s(1561)+33*s(1562)+2*s(1564)+2*s(1565)+7*s(1567)+7*s(1568)+6*s(1569)+6*s(1570)+6*s(1571)+1*s(1572)+1*s(1573)+1*s(1574)+1*s(1575)+6*s(1576)+4*s(1577)+6*s(1578)+2*s(1579)+2*s(1580)+8*s(1581)+2*s(1582)+6*s(1583)+6*s(1584)+1*s(1586)+1*s(1587)+2*s(1588)+6*s(1589)+6*s(1590)+1*s(1591)+1*s(1592)+6*s(1593)+6*s(1594)+1*s(1595)+1*s(1596)+0 Such that:s(1526) =< V2 s(1527) =< V2/2 s(1528) =< V2/3 s(1529) =< s(1526) s(1530) =< s(1526) s(1532) =< s(1527) s(1530) =< s(1527) s(1530) =< s(1528) s(1533) =< s(1526)*(1/3)+1/3 s(1534) =< s(1526)*(1/3) s(1535) =< s(1526)*(1/3)-1/3 s(1536) =< s(1526) s(1537) =< s(1526)*2+2 s(1538) =< s(1526)+1 s(1539) =< s(1529)*s(1533) s(1540) =< s(1529)*s(1534) s(1541) =< s(1526)*s(1534) s(1542) =< s(1530)*s(1535) s(1543) =< s(1529)*s(1536) s(1544) =< s(1529)*s(1537) s(1545) =< s(1532)*s(1538) s(1546) =< s(1532)*s(1536) s(1547) =< s(1543)*(1/3) s(1548) =< s(1543)*(1/2) s(1549) =< s(1544)*(2/3) s(1550) =< s(1544)*(1/3) s(1551) =< s(1544)*2 s(1552) =< s(1545)*(1/3) s(1553) =< s(1545)*(1/2) s(1554) =< s(1546)*(4/9) s(1555) =< s(1546)*(2/3) s(1556) =< s(1546)*(1/3) s(1557) =< s(1546)*(1/2) s(1558) =< s(1547) s(1559) =< s(1543) s(1560) =< s(1547) s(1561) =< s(1547) s(1562) =< s(1548) s(1560) =< s(1548) s(1562) =< s(1543) s(1560) =< s(1543) s(1563) =< s(1526)+1/3 s(1564) =< s(1562)*s(1526) s(1565) =< s(1560)*s(1563) s(1566) =< s(1534)+1/3 s(1567) =< s(1562)*s(1534) s(1568) =< s(1560)*s(1566) s(1569) =< s(1549) s(1570) =< s(1548) s(1571) =< s(1548) s(1570) =< s(1543) s(1571) =< s(1543) s(1570) =< s(1549) s(1571) =< s(1549) s(1571) =< s(1551) s(1572) =< s(1570)*s(1526) s(1573) =< s(1571)*s(1563) s(1569) =< s(1548) s(1569) =< s(1544) s(1574) =< s(1569)*s(1534) s(1575) =< s(1569)*s(1566) s(1576) =< s(1559)*s(1534) s(1577) =< s(1559)*s(1526) s(1578) =< s(1548) s(1561) =< s(1548) s(1578) =< s(1550) s(1561) =< s(1550) s(1579) =< s(1578)*s(1534) s(1580) =< s(1561)*s(1566) s(1581) =< s(1545) s(1582) =< s(1581)*s(1533) s(1583) =< s(1553) s(1584) =< s(1553) s(1583) =< s(1545) s(1584) =< s(1545) s(1584) =< s(1552) s(1585) =< s(1533)+1/3 s(1586) =< s(1583)*s(1533) s(1587) =< s(1584)*s(1585) s(1588) =< s(1556) s(1589) =< s(1557) s(1590) =< s(1557) s(1589) =< s(1546) s(1590) =< s(1546) s(1590) =< s(1556) s(1591) =< s(1589)*s(1534) s(1592) =< s(1590)*s(1566) s(1593) =< s(1557) s(1594) =< s(1557) s(1593) =< s(1555) s(1594) =< s(1555) s(1594) =< s(1556) s(1594) =< s(1554) s(1595) =< s(1593)*s(1534) s(1596) =< s(1594)*s(1566) with precondition: [V>=0,V2>=1,Out>=1,V2+1>=Out] * Chain [71]: 7*s(1600)+2*s(1603)+1*s(1610)+1*s(1611)+1*s(1612)+1*s(1613)+3*s(1629)+31*s(1630)+33*s(1631)+6*s(1632)+33*s(1633)+2*s(1635)+2*s(1636)+7*s(1638)+7*s(1639)+6*s(1640)+6*s(1641)+6*s(1642)+1*s(1643)+1*s(1644)+1*s(1645)+1*s(1646)+6*s(1647)+4*s(1648)+6*s(1649)+2*s(1650)+2*s(1651)+8*s(1652)+2*s(1653)+6*s(1654)+6*s(1655)+1*s(1657)+1*s(1658)+2*s(1659)+6*s(1660)+6*s(1661)+1*s(1662)+1*s(1663)+6*s(1664)+6*s(1665)+1*s(1666)+1*s(1667)+0 Such that:s(1597) =< V s(1598) =< V/2 s(1599) =< V/3 s(1600) =< s(1597) s(1601) =< s(1597) s(1603) =< s(1598) s(1601) =< s(1598) s(1601) =< s(1599) s(1604) =< s(1597)*(1/3)+1/3 s(1605) =< s(1597)*(1/3) s(1606) =< s(1597)*(1/3)-1/3 s(1607) =< s(1597) s(1608) =< s(1597)*2+2 s(1609) =< s(1597)+1 s(1610) =< s(1600)*s(1604) s(1611) =< s(1600)*s(1605) s(1612) =< s(1597)*s(1605) s(1613) =< s(1601)*s(1606) s(1614) =< s(1600)*s(1607) s(1615) =< s(1600)*s(1608) s(1616) =< s(1603)*s(1609) s(1617) =< s(1603)*s(1607) s(1618) =< s(1614)*(1/3) s(1619) =< s(1614)*(1/2) s(1620) =< s(1615)*(2/3) s(1621) =< s(1615)*(1/3) s(1622) =< s(1615)*2 s(1623) =< s(1616)*(1/3) s(1624) =< s(1616)*(1/2) s(1625) =< s(1617)*(4/9) s(1626) =< s(1617)*(2/3) s(1627) =< s(1617)*(1/3) s(1628) =< s(1617)*(1/2) s(1629) =< s(1618) s(1630) =< s(1614) s(1631) =< s(1618) s(1632) =< s(1618) s(1633) =< s(1619) s(1631) =< s(1619) s(1633) =< s(1614) s(1631) =< s(1614) s(1634) =< s(1597)+1/3 s(1635) =< s(1633)*s(1597) s(1636) =< s(1631)*s(1634) s(1637) =< s(1605)+1/3 s(1638) =< s(1633)*s(1605) s(1639) =< s(1631)*s(1637) s(1640) =< s(1620) s(1641) =< s(1619) s(1642) =< s(1619) s(1641) =< s(1614) s(1642) =< s(1614) s(1641) =< s(1620) s(1642) =< s(1620) s(1642) =< s(1622) s(1643) =< s(1641)*s(1597) s(1644) =< s(1642)*s(1634) s(1640) =< s(1619) s(1640) =< s(1615) s(1645) =< s(1640)*s(1605) s(1646) =< s(1640)*s(1637) s(1647) =< s(1630)*s(1605) s(1648) =< s(1630)*s(1597) s(1649) =< s(1619) s(1632) =< s(1619) s(1649) =< s(1621) s(1632) =< s(1621) s(1650) =< s(1649)*s(1605) s(1651) =< s(1632)*s(1637) s(1652) =< s(1616) s(1653) =< s(1652)*s(1604) s(1654) =< s(1624) s(1655) =< s(1624) s(1654) =< s(1616) s(1655) =< s(1616) s(1655) =< s(1623) s(1656) =< s(1604)+1/3 s(1657) =< s(1654)*s(1604) s(1658) =< s(1655)*s(1656) s(1659) =< s(1627) s(1660) =< s(1628) s(1661) =< s(1628) s(1660) =< s(1617) s(1661) =< s(1617) s(1661) =< s(1627) s(1662) =< s(1660)*s(1605) s(1663) =< s(1661)*s(1637) s(1664) =< s(1628) s(1665) =< s(1628) s(1664) =< s(1626) s(1665) =< s(1626) s(1665) =< s(1627) s(1665) =< s(1625) s(1666) =< s(1664)*s(1605) s(1667) =< s(1665)*s(1637) with precondition: [V>=1,V2>=0,Out>=1,V+1>=Out] * Chain [70]: 7*s(1671)+2*s(1674)+1*s(1681)+1*s(1682)+1*s(1683)+1*s(1684)+3*s(1700)+31*s(1701)+33*s(1702)+6*s(1703)+33*s(1704)+2*s(1706)+2*s(1707)+7*s(1709)+7*s(1710)+6*s(1711)+6*s(1712)+6*s(1713)+1*s(1714)+1*s(1715)+1*s(1716)+1*s(1717)+6*s(1718)+4*s(1719)+6*s(1720)+2*s(1721)+2*s(1722)+8*s(1723)+2*s(1724)+6*s(1725)+6*s(1726)+1*s(1728)+1*s(1729)+2*s(1730)+6*s(1731)+6*s(1732)+1*s(1733)+1*s(1734)+6*s(1735)+6*s(1736)+1*s(1737)+1*s(1738)+7*s(1742)+2*s(1745)+1*s(1752)+1*s(1753)+1*s(1754)+1*s(1755)+3*s(1771)+31*s(1772)+33*s(1773)+6*s(1774)+33*s(1775)+2*s(1777)+2*s(1778)+7*s(1780)+7*s(1781)+6*s(1782)+6*s(1783)+6*s(1784)+1*s(1785)+1*s(1786)+1*s(1787)+1*s(1788)+6*s(1789)+4*s(1790)+6*s(1791)+2*s(1792)+2*s(1793)+8*s(1794)+2*s(1795)+6*s(1796)+6*s(1797)+1*s(1799)+1*s(1800)+2*s(1801)+6*s(1802)+6*s(1803)+1*s(1804)+1*s(1805)+6*s(1806)+6*s(1807)+1*s(1808)+1*s(1809)+0 Such that:s(1668) =< V s(1669) =< V/2 s(1670) =< V/3 s(1739) =< V2 s(1740) =< V2/2 s(1741) =< V2/3 s(1742) =< s(1739) s(1743) =< s(1739) s(1745) =< s(1740) s(1743) =< s(1740) s(1743) =< s(1741) s(1746) =< s(1739)*(1/3)+1/3 s(1747) =< s(1739)*(1/3) s(1748) =< s(1739)*(1/3)-1/3 s(1749) =< s(1739) s(1750) =< s(1739)*2+2 s(1751) =< s(1739)+1 s(1752) =< s(1742)*s(1746) s(1753) =< s(1742)*s(1747) s(1754) =< s(1739)*s(1747) s(1755) =< s(1743)*s(1748) s(1756) =< s(1742)*s(1749) s(1757) =< s(1742)*s(1750) s(1758) =< s(1745)*s(1751) s(1759) =< s(1745)*s(1749) s(1760) =< s(1756)*(1/3) s(1761) =< s(1756)*(1/2) s(1762) =< s(1757)*(2/3) s(1763) =< s(1757)*(1/3) s(1764) =< s(1757)*2 s(1765) =< s(1758)*(1/3) s(1766) =< s(1758)*(1/2) s(1767) =< s(1759)*(4/9) s(1768) =< s(1759)*(2/3) s(1769) =< s(1759)*(1/3) s(1770) =< s(1759)*(1/2) s(1771) =< s(1760) s(1772) =< s(1756) s(1773) =< s(1760) s(1774) =< s(1760) s(1775) =< s(1761) s(1773) =< s(1761) s(1775) =< s(1756) s(1773) =< s(1756) s(1776) =< s(1739)+1/3 s(1777) =< s(1775)*s(1739) s(1778) =< s(1773)*s(1776) s(1779) =< s(1747)+1/3 s(1780) =< s(1775)*s(1747) s(1781) =< s(1773)*s(1779) s(1782) =< s(1762) s(1783) =< s(1761) s(1784) =< s(1761) s(1783) =< s(1756) s(1784) =< s(1756) s(1783) =< s(1762) s(1784) =< s(1762) s(1784) =< s(1764) s(1785) =< s(1783)*s(1739) s(1786) =< s(1784)*s(1776) s(1782) =< s(1761) s(1782) =< s(1757) s(1787) =< s(1782)*s(1747) s(1788) =< s(1782)*s(1779) s(1789) =< s(1772)*s(1747) s(1790) =< s(1772)*s(1739) s(1791) =< s(1761) s(1774) =< s(1761) s(1791) =< s(1763) s(1774) =< s(1763) s(1792) =< s(1791)*s(1747) s(1793) =< s(1774)*s(1779) s(1794) =< s(1758) s(1795) =< s(1794)*s(1746) s(1796) =< s(1766) s(1797) =< s(1766) s(1796) =< s(1758) s(1797) =< s(1758) s(1797) =< s(1765) s(1798) =< s(1746)+1/3 s(1799) =< s(1796)*s(1746) s(1800) =< s(1797)*s(1798) s(1801) =< s(1769) s(1802) =< s(1770) s(1803) =< s(1770) s(1802) =< s(1759) s(1803) =< s(1759) s(1803) =< s(1769) s(1804) =< s(1802)*s(1747) s(1805) =< s(1803)*s(1779) s(1806) =< s(1770) s(1807) =< s(1770) s(1806) =< s(1768) s(1807) =< s(1768) s(1807) =< s(1769) s(1807) =< s(1767) s(1808) =< s(1806)*s(1747) s(1809) =< s(1807)*s(1779) s(1671) =< s(1668) s(1672) =< s(1668) s(1674) =< s(1669) s(1672) =< s(1669) s(1672) =< s(1670) s(1675) =< s(1668)*(1/3)+1/3 s(1676) =< s(1668)*(1/3) s(1677) =< s(1668)*(1/3)-1/3 s(1678) =< s(1668) s(1679) =< s(1668)*2+2 s(1680) =< s(1668)+1 s(1681) =< s(1671)*s(1675) s(1682) =< s(1671)*s(1676) s(1683) =< s(1668)*s(1676) s(1684) =< s(1672)*s(1677) s(1685) =< s(1671)*s(1678) s(1686) =< s(1671)*s(1679) s(1687) =< s(1674)*s(1680) s(1688) =< s(1674)*s(1678) s(1689) =< s(1685)*(1/3) s(1690) =< s(1685)*(1/2) s(1691) =< s(1686)*(2/3) s(1692) =< s(1686)*(1/3) s(1693) =< s(1686)*2 s(1694) =< s(1687)*(1/3) s(1695) =< s(1687)*(1/2) s(1696) =< s(1688)*(4/9) s(1697) =< s(1688)*(2/3) s(1698) =< s(1688)*(1/3) s(1699) =< s(1688)*(1/2) s(1700) =< s(1689) s(1701) =< s(1685) s(1702) =< s(1689) s(1703) =< s(1689) s(1704) =< s(1690) s(1702) =< s(1690) s(1704) =< s(1685) s(1702) =< s(1685) s(1705) =< s(1668)+1/3 s(1706) =< s(1704)*s(1668) s(1707) =< s(1702)*s(1705) s(1708) =< s(1676)+1/3 s(1709) =< s(1704)*s(1676) s(1710) =< s(1702)*s(1708) s(1711) =< s(1691) s(1712) =< s(1690) s(1713) =< s(1690) s(1712) =< s(1685) s(1713) =< s(1685) s(1712) =< s(1691) s(1713) =< s(1691) s(1713) =< s(1693) s(1714) =< s(1712)*s(1668) s(1715) =< s(1713)*s(1705) s(1711) =< s(1690) s(1711) =< s(1686) s(1716) =< s(1711)*s(1676) s(1717) =< s(1711)*s(1708) s(1718) =< s(1701)*s(1676) s(1719) =< s(1701)*s(1668) s(1720) =< s(1690) s(1703) =< s(1690) s(1720) =< s(1692) s(1703) =< s(1692) s(1721) =< s(1720)*s(1676) s(1722) =< s(1703)*s(1708) s(1723) =< s(1687) s(1724) =< s(1723)*s(1675) s(1725) =< s(1695) s(1726) =< s(1695) s(1725) =< s(1687) s(1726) =< s(1687) s(1726) =< s(1694) s(1727) =< s(1675)+1/3 s(1728) =< s(1725)*s(1675) s(1729) =< s(1726)*s(1727) s(1730) =< s(1698) s(1731) =< s(1699) s(1732) =< s(1699) s(1731) =< s(1688) s(1732) =< s(1688) s(1732) =< s(1698) s(1733) =< s(1731)*s(1676) s(1734) =< s(1732)*s(1708) s(1735) =< s(1699) s(1736) =< s(1699) s(1735) =< s(1697) s(1736) =< s(1697) s(1736) =< s(1698) s(1736) =< s(1696) s(1737) =< s(1735)*s(1676) s(1738) =< s(1736)*s(1708) with precondition: [V>=1,V2>=1,Out>=1,V+V2+1>=Out] #### Cost of chains of fun2(V,Out): * Chain [76]: 7*s(1814)+2*s(1817)+1*s(1824)+1*s(1825)+1*s(1826)+1*s(1827)+3*s(1843)+31*s(1844)+33*s(1845)+6*s(1846)+33*s(1847)+2*s(1849)+2*s(1850)+7*s(1852)+7*s(1853)+6*s(1854)+6*s(1855)+6*s(1856)+1*s(1857)+1*s(1858)+1*s(1859)+1*s(1860)+6*s(1861)+4*s(1862)+6*s(1863)+2*s(1864)+2*s(1865)+8*s(1866)+2*s(1867)+6*s(1868)+6*s(1869)+1*s(1871)+1*s(1872)+2*s(1873)+6*s(1874)+6*s(1875)+1*s(1876)+1*s(1877)+6*s(1878)+6*s(1879)+1*s(1880)+1*s(1881)+1*s(1882)+1 Such that:s(1811) =< V s(1812) =< V/2 aux(139) =< V/3 s(1882) =< aux(139) s(1814) =< s(1811) s(1815) =< s(1811) s(1817) =< s(1812) s(1815) =< s(1812) s(1815) =< aux(139) s(1818) =< s(1811)*(1/3)+1/3 s(1819) =< s(1811)*(1/3) s(1820) =< s(1811)*(1/3)-1/3 s(1821) =< s(1811) s(1822) =< s(1811)*2+2 s(1823) =< s(1811)+1 s(1824) =< s(1814)*s(1818) s(1825) =< s(1814)*s(1819) s(1826) =< s(1811)*s(1819) s(1827) =< s(1815)*s(1820) s(1828) =< s(1814)*s(1821) s(1829) =< s(1814)*s(1822) s(1830) =< s(1817)*s(1823) s(1831) =< s(1817)*s(1821) s(1832) =< s(1828)*(1/3) s(1833) =< s(1828)*(1/2) s(1834) =< s(1829)*(2/3) s(1835) =< s(1829)*(1/3) s(1836) =< s(1829)*2 s(1837) =< s(1830)*(1/3) s(1838) =< s(1830)*(1/2) s(1839) =< s(1831)*(4/9) s(1840) =< s(1831)*(2/3) s(1841) =< s(1831)*(1/3) s(1842) =< s(1831)*(1/2) s(1843) =< s(1832) s(1844) =< s(1828) s(1845) =< s(1832) s(1846) =< s(1832) s(1847) =< s(1833) s(1845) =< s(1833) s(1847) =< s(1828) s(1845) =< s(1828) s(1848) =< s(1811)+1/3 s(1849) =< s(1847)*s(1811) s(1850) =< s(1845)*s(1848) s(1851) =< s(1819)+1/3 s(1852) =< s(1847)*s(1819) s(1853) =< s(1845)*s(1851) s(1854) =< s(1834) s(1855) =< s(1833) s(1856) =< s(1833) s(1855) =< s(1828) s(1856) =< s(1828) s(1855) =< s(1834) s(1856) =< s(1834) s(1856) =< s(1836) s(1857) =< s(1855)*s(1811) s(1858) =< s(1856)*s(1848) s(1854) =< s(1833) s(1854) =< s(1829) s(1859) =< s(1854)*s(1819) s(1860) =< s(1854)*s(1851) s(1861) =< s(1844)*s(1819) s(1862) =< s(1844)*s(1811) s(1863) =< s(1833) s(1846) =< s(1833) s(1863) =< s(1835) s(1846) =< s(1835) s(1864) =< s(1863)*s(1819) s(1865) =< s(1846)*s(1851) s(1866) =< s(1830) s(1867) =< s(1866)*s(1818) s(1868) =< s(1838) s(1869) =< s(1838) s(1868) =< s(1830) s(1869) =< s(1830) s(1869) =< s(1837) s(1870) =< s(1818)+1/3 s(1871) =< s(1868)*s(1818) s(1872) =< s(1869)*s(1870) s(1873) =< s(1841) s(1874) =< s(1842) s(1875) =< s(1842) s(1874) =< s(1831) s(1875) =< s(1831) s(1875) =< s(1841) s(1876) =< s(1874)*s(1819) s(1877) =< s(1875)*s(1851) s(1878) =< s(1842) s(1879) =< s(1842) s(1878) =< s(1840) s(1879) =< s(1840) s(1879) =< s(1841) s(1879) =< s(1839) s(1880) =< s(1878)*s(1819) s(1881) =< s(1879)*s(1851) with precondition: [Out=0,V>=0] * Chain [75]: 14*s(1886)+4*s(1889)+2*s(1896)+2*s(1897)+2*s(1898)+2*s(1899)+6*s(1915)+62*s(1916)+66*s(1917)+12*s(1918)+66*s(1919)+4*s(1921)+4*s(1922)+14*s(1924)+14*s(1925)+12*s(1926)+12*s(1927)+12*s(1928)+2*s(1929)+2*s(1930)+2*s(1931)+2*s(1932)+12*s(1933)+8*s(1934)+12*s(1935)+4*s(1936)+4*s(1937)+16*s(1938)+4*s(1939)+12*s(1940)+12*s(1941)+2*s(1943)+2*s(1944)+4*s(1945)+12*s(1946)+12*s(1947)+2*s(1948)+2*s(1949)+12*s(1950)+12*s(1951)+2*s(1952)+2*s(1953)+1*s(2025)+1 Such that:aux(141) =< V aux(142) =< V/2 aux(143) =< V/3 s(1886) =< aux(141) s(1887) =< aux(141) s(1889) =< aux(142) s(1887) =< aux(142) s(1887) =< aux(143) s(1890) =< aux(141)*(1/3)+1/3 s(1891) =< aux(141)*(1/3) s(1892) =< aux(141)*(1/3)-1/3 s(1893) =< aux(141) s(1894) =< aux(141)*2+2 s(1895) =< aux(141)+1 s(1896) =< s(1886)*s(1890) s(1897) =< s(1886)*s(1891) s(1898) =< aux(141)*s(1891) s(1899) =< s(1887)*s(1892) s(1900) =< s(1886)*s(1893) s(1901) =< s(1886)*s(1894) s(1902) =< s(1889)*s(1895) s(1903) =< s(1889)*s(1893) s(1904) =< s(1900)*(1/3) s(1905) =< s(1900)*(1/2) s(1906) =< s(1901)*(2/3) s(1907) =< s(1901)*(1/3) s(1908) =< s(1901)*2 s(1909) =< s(1902)*(1/3) s(1910) =< s(1902)*(1/2) s(1911) =< s(1903)*(4/9) s(1912) =< s(1903)*(2/3) s(1913) =< s(1903)*(1/3) s(1914) =< s(1903)*(1/2) s(1915) =< s(1904) s(1916) =< s(1900) s(1917) =< s(1904) s(1918) =< s(1904) s(1919) =< s(1905) s(1917) =< s(1905) s(1919) =< s(1900) s(1917) =< s(1900) s(1920) =< aux(141)+1/3 s(1921) =< s(1919)*aux(141) s(1922) =< s(1917)*s(1920) s(1923) =< s(1891)+1/3 s(1924) =< s(1919)*s(1891) s(1925) =< s(1917)*s(1923) s(1926) =< s(1906) s(1927) =< s(1905) s(1928) =< s(1905) s(1927) =< s(1900) s(1928) =< s(1900) s(1927) =< s(1906) s(1928) =< s(1906) s(1928) =< s(1908) s(1929) =< s(1927)*aux(141) s(1930) =< s(1928)*s(1920) s(1926) =< s(1905) s(1926) =< s(1901) s(1931) =< s(1926)*s(1891) s(1932) =< s(1926)*s(1923) s(1933) =< s(1916)*s(1891) s(1934) =< s(1916)*aux(141) s(1935) =< s(1905) s(1918) =< s(1905) s(1935) =< s(1907) s(1918) =< s(1907) s(1936) =< s(1935)*s(1891) s(1937) =< s(1918)*s(1923) s(1938) =< s(1902) s(1939) =< s(1938)*s(1890) s(1940) =< s(1910) s(1941) =< s(1910) s(1940) =< s(1902) s(1941) =< s(1902) s(1941) =< s(1909) s(1942) =< s(1890)+1/3 s(1943) =< s(1940)*s(1890) s(1944) =< s(1941)*s(1942) s(1945) =< s(1913) s(1946) =< s(1914) s(1947) =< s(1914) s(1946) =< s(1903) s(1947) =< s(1903) s(1947) =< s(1913) s(1948) =< s(1946)*s(1891) s(1949) =< s(1947)*s(1923) s(1950) =< s(1914) s(1951) =< s(1914) s(1950) =< s(1912) s(1951) =< s(1912) s(1951) =< s(1913) s(1951) =< s(1911) s(1952) =< s(1950)*s(1891) s(1953) =< s(1951)*s(1923) s(2025) =< aux(143) with precondition: [Out>=3,V+1>=Out] #### Cost of chains of fun3(V,Out): * Chain [79]: 7*s(2029)+2*s(2032)+1*s(2039)+1*s(2040)+1*s(2041)+1*s(2042)+3*s(2058)+31*s(2059)+33*s(2060)+6*s(2061)+33*s(2062)+2*s(2064)+2*s(2065)+7*s(2067)+7*s(2068)+6*s(2069)+6*s(2070)+6*s(2071)+1*s(2072)+1*s(2073)+1*s(2074)+1*s(2075)+6*s(2076)+4*s(2077)+6*s(2078)+2*s(2079)+2*s(2080)+8*s(2081)+2*s(2082)+6*s(2083)+6*s(2084)+1*s(2086)+1*s(2087)+2*s(2088)+6*s(2089)+6*s(2090)+1*s(2091)+1*s(2092)+6*s(2093)+6*s(2094)+1*s(2095)+1*s(2096)+0 Such that:s(2026) =< V s(2027) =< V/2 s(2028) =< V/3 s(2029) =< s(2026) s(2030) =< s(2026) s(2032) =< s(2027) s(2030) =< s(2027) s(2030) =< s(2028) s(2033) =< s(2026)*(1/3)+1/3 s(2034) =< s(2026)*(1/3) s(2035) =< s(2026)*(1/3)-1/3 s(2036) =< s(2026) s(2037) =< s(2026)*2+2 s(2038) =< s(2026)+1 s(2039) =< s(2029)*s(2033) s(2040) =< s(2029)*s(2034) s(2041) =< s(2026)*s(2034) s(2042) =< s(2030)*s(2035) s(2043) =< s(2029)*s(2036) s(2044) =< s(2029)*s(2037) s(2045) =< s(2032)*s(2038) s(2046) =< s(2032)*s(2036) s(2047) =< s(2043)*(1/3) s(2048) =< s(2043)*(1/2) s(2049) =< s(2044)*(2/3) s(2050) =< s(2044)*(1/3) s(2051) =< s(2044)*2 s(2052) =< s(2045)*(1/3) s(2053) =< s(2045)*(1/2) s(2054) =< s(2046)*(4/9) s(2055) =< s(2046)*(2/3) s(2056) =< s(2046)*(1/3) s(2057) =< s(2046)*(1/2) s(2058) =< s(2047) s(2059) =< s(2043) s(2060) =< s(2047) s(2061) =< s(2047) s(2062) =< s(2048) s(2060) =< s(2048) s(2062) =< s(2043) s(2060) =< s(2043) s(2063) =< s(2026)+1/3 s(2064) =< s(2062)*s(2026) s(2065) =< s(2060)*s(2063) s(2066) =< s(2034)+1/3 s(2067) =< s(2062)*s(2034) s(2068) =< s(2060)*s(2066) s(2069) =< s(2049) s(2070) =< s(2048) s(2071) =< s(2048) s(2070) =< s(2043) s(2071) =< s(2043) s(2070) =< s(2049) s(2071) =< s(2049) s(2071) =< s(2051) s(2072) =< s(2070)*s(2026) s(2073) =< s(2071)*s(2063) s(2069) =< s(2048) s(2069) =< s(2044) s(2074) =< s(2069)*s(2034) s(2075) =< s(2069)*s(2066) s(2076) =< s(2059)*s(2034) s(2077) =< s(2059)*s(2026) s(2078) =< s(2048) s(2061) =< s(2048) s(2078) =< s(2050) s(2061) =< s(2050) s(2079) =< s(2078)*s(2034) s(2080) =< s(2061)*s(2066) s(2081) =< s(2045) s(2082) =< s(2081)*s(2033) s(2083) =< s(2053) s(2084) =< s(2053) s(2083) =< s(2045) s(2084) =< s(2045) s(2084) =< s(2052) s(2085) =< s(2033)+1/3 s(2086) =< s(2083)*s(2033) s(2087) =< s(2084)*s(2085) s(2088) =< s(2056) s(2089) =< s(2057) s(2090) =< s(2057) s(2089) =< s(2046) s(2090) =< s(2046) s(2090) =< s(2056) s(2091) =< s(2089)*s(2034) s(2092) =< s(2090)*s(2066) s(2093) =< s(2057) s(2094) =< s(2057) s(2093) =< s(2055) s(2094) =< s(2055) s(2094) =< s(2056) s(2094) =< s(2054) s(2095) =< s(2093)*s(2034) s(2096) =< s(2094)*s(2066) with precondition: [Out=0,V>=0] * Chain [78]: 7*s(2100)+2*s(2103)+1*s(2110)+1*s(2111)+1*s(2112)+1*s(2113)+3*s(2129)+31*s(2130)+33*s(2131)+6*s(2132)+33*s(2133)+2*s(2135)+2*s(2136)+7*s(2138)+7*s(2139)+6*s(2140)+6*s(2141)+6*s(2142)+1*s(2143)+1*s(2144)+1*s(2145)+1*s(2146)+6*s(2147)+4*s(2148)+6*s(2149)+2*s(2150)+2*s(2151)+8*s(2152)+2*s(2153)+6*s(2154)+6*s(2155)+1*s(2157)+1*s(2158)+2*s(2159)+6*s(2160)+6*s(2161)+1*s(2162)+1*s(2163)+6*s(2164)+6*s(2165)+1*s(2166)+1*s(2167)+1 Such that:s(2097) =< V s(2098) =< V/2 s(2099) =< V/3 s(2100) =< s(2097) s(2101) =< s(2097) s(2103) =< s(2098) s(2101) =< s(2098) s(2101) =< s(2099) s(2104) =< s(2097)*(1/3)+1/3 s(2105) =< s(2097)*(1/3) s(2106) =< s(2097)*(1/3)-1/3 s(2107) =< s(2097) s(2108) =< s(2097)*2+2 s(2109) =< s(2097)+1 s(2110) =< s(2100)*s(2104) s(2111) =< s(2100)*s(2105) s(2112) =< s(2097)*s(2105) s(2113) =< s(2101)*s(2106) s(2114) =< s(2100)*s(2107) s(2115) =< s(2100)*s(2108) s(2116) =< s(2103)*s(2109) s(2117) =< s(2103)*s(2107) s(2118) =< s(2114)*(1/3) s(2119) =< s(2114)*(1/2) s(2120) =< s(2115)*(2/3) s(2121) =< s(2115)*(1/3) s(2122) =< s(2115)*2 s(2123) =< s(2116)*(1/3) s(2124) =< s(2116)*(1/2) s(2125) =< s(2117)*(4/9) s(2126) =< s(2117)*(2/3) s(2127) =< s(2117)*(1/3) s(2128) =< s(2117)*(1/2) s(2129) =< s(2118) s(2130) =< s(2114) s(2131) =< s(2118) s(2132) =< s(2118) s(2133) =< s(2119) s(2131) =< s(2119) s(2133) =< s(2114) s(2131) =< s(2114) s(2134) =< s(2097)+1/3 s(2135) =< s(2133)*s(2097) s(2136) =< s(2131)*s(2134) s(2137) =< s(2105)+1/3 s(2138) =< s(2133)*s(2105) s(2139) =< s(2131)*s(2137) s(2140) =< s(2120) s(2141) =< s(2119) s(2142) =< s(2119) s(2141) =< s(2114) s(2142) =< s(2114) s(2141) =< s(2120) s(2142) =< s(2120) s(2142) =< s(2122) s(2143) =< s(2141)*s(2097) s(2144) =< s(2142)*s(2134) s(2140) =< s(2119) s(2140) =< s(2115) s(2145) =< s(2140)*s(2105) s(2146) =< s(2140)*s(2137) s(2147) =< s(2130)*s(2105) s(2148) =< s(2130)*s(2097) s(2149) =< s(2119) s(2132) =< s(2119) s(2149) =< s(2121) s(2132) =< s(2121) s(2150) =< s(2149)*s(2105) s(2151) =< s(2132)*s(2137) s(2152) =< s(2116) s(2153) =< s(2152)*s(2104) s(2154) =< s(2124) s(2155) =< s(2124) s(2154) =< s(2116) s(2155) =< s(2116) s(2155) =< s(2123) s(2156) =< s(2104)+1/3 s(2157) =< s(2154)*s(2104) s(2158) =< s(2155)*s(2156) s(2159) =< s(2127) s(2160) =< s(2128) s(2161) =< s(2128) s(2160) =< s(2117) s(2161) =< s(2117) s(2161) =< s(2127) s(2162) =< s(2160)*s(2105) s(2163) =< s(2161)*s(2137) s(2164) =< s(2128) s(2165) =< s(2128) s(2164) =< s(2126) s(2165) =< s(2126) s(2165) =< s(2127) s(2165) =< s(2125) s(2166) =< s(2164)*s(2105) s(2167) =< s(2165)*s(2137) with precondition: [Out>=1,V>=Out] * Chain [77]: 7*s(2171)+2*s(2174)+1*s(2181)+1*s(2182)+1*s(2183)+1*s(2184)+3*s(2200)+31*s(2201)+33*s(2202)+6*s(2203)+33*s(2204)+2*s(2206)+2*s(2207)+7*s(2209)+7*s(2210)+6*s(2211)+6*s(2212)+6*s(2213)+1*s(2214)+1*s(2215)+1*s(2216)+1*s(2217)+6*s(2218)+4*s(2219)+6*s(2220)+2*s(2221)+2*s(2222)+8*s(2223)+2*s(2224)+6*s(2225)+6*s(2226)+1*s(2228)+1*s(2229)+2*s(2230)+6*s(2231)+6*s(2232)+1*s(2233)+1*s(2234)+6*s(2235)+6*s(2236)+1*s(2237)+1*s(2238)+1 Such that:s(2168) =< V s(2169) =< V/2 s(2170) =< V/3 s(2171) =< s(2168) s(2172) =< s(2168) s(2174) =< s(2169) s(2172) =< s(2169) s(2172) =< s(2170) s(2175) =< s(2168)*(1/3)+1/3 s(2176) =< s(2168)*(1/3) s(2177) =< s(2168)*(1/3)-1/3 s(2178) =< s(2168) s(2179) =< s(2168)*2+2 s(2180) =< s(2168)+1 s(2181) =< s(2171)*s(2175) s(2182) =< s(2171)*s(2176) s(2183) =< s(2168)*s(2176) s(2184) =< s(2172)*s(2177) s(2185) =< s(2171)*s(2178) s(2186) =< s(2171)*s(2179) s(2187) =< s(2174)*s(2180) s(2188) =< s(2174)*s(2178) s(2189) =< s(2185)*(1/3) s(2190) =< s(2185)*(1/2) s(2191) =< s(2186)*(2/3) s(2192) =< s(2186)*(1/3) s(2193) =< s(2186)*2 s(2194) =< s(2187)*(1/3) s(2195) =< s(2187)*(1/2) s(2196) =< s(2188)*(4/9) s(2197) =< s(2188)*(2/3) s(2198) =< s(2188)*(1/3) s(2199) =< s(2188)*(1/2) s(2200) =< s(2189) s(2201) =< s(2185) s(2202) =< s(2189) s(2203) =< s(2189) s(2204) =< s(2190) s(2202) =< s(2190) s(2204) =< s(2185) s(2202) =< s(2185) s(2205) =< s(2168)+1/3 s(2206) =< s(2204)*s(2168) s(2207) =< s(2202)*s(2205) s(2208) =< s(2176)+1/3 s(2209) =< s(2204)*s(2176) s(2210) =< s(2202)*s(2208) s(2211) =< s(2191) s(2212) =< s(2190) s(2213) =< s(2190) s(2212) =< s(2185) s(2213) =< s(2185) s(2212) =< s(2191) s(2213) =< s(2191) s(2213) =< s(2193) s(2214) =< s(2212)*s(2168) s(2215) =< s(2213)*s(2205) s(2211) =< s(2190) s(2211) =< s(2186) s(2216) =< s(2211)*s(2176) s(2217) =< s(2211)*s(2208) s(2218) =< s(2201)*s(2176) s(2219) =< s(2201)*s(2168) s(2220) =< s(2190) s(2203) =< s(2190) s(2220) =< s(2192) s(2203) =< s(2192) s(2221) =< s(2220)*s(2176) s(2222) =< s(2203)*s(2208) s(2223) =< s(2187) s(2224) =< s(2223)*s(2175) s(2225) =< s(2195) s(2226) =< s(2195) s(2225) =< s(2187) s(2226) =< s(2187) s(2226) =< s(2194) s(2227) =< s(2175)+1/3 s(2228) =< s(2225)*s(2175) s(2229) =< s(2226)*s(2227) s(2230) =< s(2198) s(2231) =< s(2199) s(2232) =< s(2199) s(2231) =< s(2188) s(2232) =< s(2188) s(2232) =< s(2198) s(2233) =< s(2231)*s(2176) s(2234) =< s(2232)*s(2208) s(2235) =< s(2199) s(2236) =< s(2199) s(2235) =< s(2197) s(2236) =< s(2197) s(2236) =< s(2198) s(2236) =< s(2196) s(2237) =< s(2235)*s(2176) s(2238) =< s(2236)*s(2208) with precondition: [Out>=2,V+1>=Out] #### Cost of chains of fun4(V,V2,Out): * Chain [84]: 0 with precondition: [Out=0,V>=0,V2>=0] * Chain [83]: 0 with precondition: [Out=1,V>=0,V2>=0] * Chain [82]: 7*s(2242)+2*s(2245)+1*s(2252)+1*s(2253)+1*s(2254)+1*s(2255)+3*s(2271)+31*s(2272)+33*s(2273)+6*s(2274)+33*s(2275)+2*s(2277)+2*s(2278)+7*s(2280)+7*s(2281)+6*s(2282)+6*s(2283)+6*s(2284)+1*s(2285)+1*s(2286)+1*s(2287)+1*s(2288)+6*s(2289)+4*s(2290)+6*s(2291)+2*s(2292)+2*s(2293)+8*s(2294)+2*s(2295)+6*s(2296)+6*s(2297)+1*s(2299)+1*s(2300)+2*s(2301)+6*s(2302)+6*s(2303)+1*s(2304)+1*s(2305)+6*s(2306)+6*s(2307)+1*s(2308)+1*s(2309)+0 Such that:s(2239) =< V2 s(2240) =< V2/2 s(2241) =< V2/3 s(2242) =< s(2239) s(2243) =< s(2239) s(2245) =< s(2240) s(2243) =< s(2240) s(2243) =< s(2241) s(2246) =< s(2239)*(1/3)+1/3 s(2247) =< s(2239)*(1/3) s(2248) =< s(2239)*(1/3)-1/3 s(2249) =< s(2239) s(2250) =< s(2239)*2+2 s(2251) =< s(2239)+1 s(2252) =< s(2242)*s(2246) s(2253) =< s(2242)*s(2247) s(2254) =< s(2239)*s(2247) s(2255) =< s(2243)*s(2248) s(2256) =< s(2242)*s(2249) s(2257) =< s(2242)*s(2250) s(2258) =< s(2245)*s(2251) s(2259) =< s(2245)*s(2249) s(2260) =< s(2256)*(1/3) s(2261) =< s(2256)*(1/2) s(2262) =< s(2257)*(2/3) s(2263) =< s(2257)*(1/3) s(2264) =< s(2257)*2 s(2265) =< s(2258)*(1/3) s(2266) =< s(2258)*(1/2) s(2267) =< s(2259)*(4/9) s(2268) =< s(2259)*(2/3) s(2269) =< s(2259)*(1/3) s(2270) =< s(2259)*(1/2) s(2271) =< s(2260) s(2272) =< s(2256) s(2273) =< s(2260) s(2274) =< s(2260) s(2275) =< s(2261) s(2273) =< s(2261) s(2275) =< s(2256) s(2273) =< s(2256) s(2276) =< s(2239)+1/3 s(2277) =< s(2275)*s(2239) s(2278) =< s(2273)*s(2276) s(2279) =< s(2247)+1/3 s(2280) =< s(2275)*s(2247) s(2281) =< s(2273)*s(2279) s(2282) =< s(2262) s(2283) =< s(2261) s(2284) =< s(2261) s(2283) =< s(2256) s(2284) =< s(2256) s(2283) =< s(2262) s(2284) =< s(2262) s(2284) =< s(2264) s(2285) =< s(2283)*s(2239) s(2286) =< s(2284)*s(2276) s(2282) =< s(2261) s(2282) =< s(2257) s(2287) =< s(2282)*s(2247) s(2288) =< s(2282)*s(2279) s(2289) =< s(2272)*s(2247) s(2290) =< s(2272)*s(2239) s(2291) =< s(2261) s(2274) =< s(2261) s(2291) =< s(2263) s(2274) =< s(2263) s(2292) =< s(2291)*s(2247) s(2293) =< s(2274)*s(2279) s(2294) =< s(2258) s(2295) =< s(2294)*s(2246) s(2296) =< s(2266) s(2297) =< s(2266) s(2296) =< s(2258) s(2297) =< s(2258) s(2297) =< s(2265) s(2298) =< s(2246)+1/3 s(2299) =< s(2296)*s(2246) s(2300) =< s(2297)*s(2298) s(2301) =< s(2269) s(2302) =< s(2270) s(2303) =< s(2270) s(2302) =< s(2259) s(2303) =< s(2259) s(2303) =< s(2269) s(2304) =< s(2302)*s(2247) s(2305) =< s(2303)*s(2279) s(2306) =< s(2270) s(2307) =< s(2270) s(2306) =< s(2268) s(2307) =< s(2268) s(2307) =< s(2269) s(2307) =< s(2267) s(2308) =< s(2306)*s(2247) s(2309) =< s(2307)*s(2279) with precondition: [V>=0,V2>=1,Out>=1,V2+1>=Out] * Chain [81]: 7*s(2313)+2*s(2316)+1*s(2323)+1*s(2324)+1*s(2325)+1*s(2326)+3*s(2342)+31*s(2343)+33*s(2344)+6*s(2345)+33*s(2346)+2*s(2348)+2*s(2349)+7*s(2351)+7*s(2352)+6*s(2353)+6*s(2354)+6*s(2355)+1*s(2356)+1*s(2357)+1*s(2358)+1*s(2359)+6*s(2360)+4*s(2361)+6*s(2362)+2*s(2363)+2*s(2364)+8*s(2365)+2*s(2366)+6*s(2367)+6*s(2368)+1*s(2370)+1*s(2371)+2*s(2372)+6*s(2373)+6*s(2374)+1*s(2375)+1*s(2376)+6*s(2377)+6*s(2378)+1*s(2379)+1*s(2380)+0 Such that:s(2310) =< V s(2311) =< V/2 s(2312) =< V/3 s(2313) =< s(2310) s(2314) =< s(2310) s(2316) =< s(2311) s(2314) =< s(2311) s(2314) =< s(2312) s(2317) =< s(2310)*(1/3)+1/3 s(2318) =< s(2310)*(1/3) s(2319) =< s(2310)*(1/3)-1/3 s(2320) =< s(2310) s(2321) =< s(2310)*2+2 s(2322) =< s(2310)+1 s(2323) =< s(2313)*s(2317) s(2324) =< s(2313)*s(2318) s(2325) =< s(2310)*s(2318) s(2326) =< s(2314)*s(2319) s(2327) =< s(2313)*s(2320) s(2328) =< s(2313)*s(2321) s(2329) =< s(2316)*s(2322) s(2330) =< s(2316)*s(2320) s(2331) =< s(2327)*(1/3) s(2332) =< s(2327)*(1/2) s(2333) =< s(2328)*(2/3) s(2334) =< s(2328)*(1/3) s(2335) =< s(2328)*2 s(2336) =< s(2329)*(1/3) s(2337) =< s(2329)*(1/2) s(2338) =< s(2330)*(4/9) s(2339) =< s(2330)*(2/3) s(2340) =< s(2330)*(1/3) s(2341) =< s(2330)*(1/2) s(2342) =< s(2331) s(2343) =< s(2327) s(2344) =< s(2331) s(2345) =< s(2331) s(2346) =< s(2332) s(2344) =< s(2332) s(2346) =< s(2327) s(2344) =< s(2327) s(2347) =< s(2310)+1/3 s(2348) =< s(2346)*s(2310) s(2349) =< s(2344)*s(2347) s(2350) =< s(2318)+1/3 s(2351) =< s(2346)*s(2318) s(2352) =< s(2344)*s(2350) s(2353) =< s(2333) s(2354) =< s(2332) s(2355) =< s(2332) s(2354) =< s(2327) s(2355) =< s(2327) s(2354) =< s(2333) s(2355) =< s(2333) s(2355) =< s(2335) s(2356) =< s(2354)*s(2310) s(2357) =< s(2355)*s(2347) s(2353) =< s(2332) s(2353) =< s(2328) s(2358) =< s(2353)*s(2318) s(2359) =< s(2353)*s(2350) s(2360) =< s(2343)*s(2318) s(2361) =< s(2343)*s(2310) s(2362) =< s(2332) s(2345) =< s(2332) s(2362) =< s(2334) s(2345) =< s(2334) s(2363) =< s(2362)*s(2318) s(2364) =< s(2345)*s(2350) s(2365) =< s(2329) s(2366) =< s(2365)*s(2317) s(2367) =< s(2337) s(2368) =< s(2337) s(2367) =< s(2329) s(2368) =< s(2329) s(2368) =< s(2336) s(2369) =< s(2317)+1/3 s(2370) =< s(2367)*s(2317) s(2371) =< s(2368)*s(2369) s(2372) =< s(2340) s(2373) =< s(2341) s(2374) =< s(2341) s(2373) =< s(2330) s(2374) =< s(2330) s(2374) =< s(2340) s(2375) =< s(2373)*s(2318) s(2376) =< s(2374)*s(2350) s(2377) =< s(2341) s(2378) =< s(2341) s(2377) =< s(2339) s(2378) =< s(2339) s(2378) =< s(2340) s(2378) =< s(2338) s(2379) =< s(2377)*s(2318) s(2380) =< s(2378)*s(2350) with precondition: [V>=1,V2>=0,Out>=1,V+1>=Out] * Chain [80]: 7*s(2384)+2*s(2387)+1*s(2394)+1*s(2395)+1*s(2396)+1*s(2397)+3*s(2413)+31*s(2414)+33*s(2415)+6*s(2416)+33*s(2417)+2*s(2419)+2*s(2420)+7*s(2422)+7*s(2423)+6*s(2424)+6*s(2425)+6*s(2426)+1*s(2427)+1*s(2428)+1*s(2429)+1*s(2430)+6*s(2431)+4*s(2432)+6*s(2433)+2*s(2434)+2*s(2435)+8*s(2436)+2*s(2437)+6*s(2438)+6*s(2439)+1*s(2441)+1*s(2442)+2*s(2443)+6*s(2444)+6*s(2445)+1*s(2446)+1*s(2447)+6*s(2448)+6*s(2449)+1*s(2450)+1*s(2451)+7*s(2455)+2*s(2458)+1*s(2465)+1*s(2466)+1*s(2467)+1*s(2468)+3*s(2484)+31*s(2485)+33*s(2486)+6*s(2487)+33*s(2488)+2*s(2490)+2*s(2491)+7*s(2493)+7*s(2494)+6*s(2495)+6*s(2496)+6*s(2497)+1*s(2498)+1*s(2499)+1*s(2500)+1*s(2501)+6*s(2502)+4*s(2503)+6*s(2504)+2*s(2505)+2*s(2506)+8*s(2507)+2*s(2508)+6*s(2509)+6*s(2510)+1*s(2512)+1*s(2513)+2*s(2514)+6*s(2515)+6*s(2516)+1*s(2517)+1*s(2518)+6*s(2519)+6*s(2520)+1*s(2521)+1*s(2522)+0 Such that:s(2381) =< V s(2382) =< V/2 s(2383) =< V/3 s(2452) =< V2 s(2453) =< V2/2 s(2454) =< V2/3 s(2455) =< s(2452) s(2456) =< s(2452) s(2458) =< s(2453) s(2456) =< s(2453) s(2456) =< s(2454) s(2459) =< s(2452)*(1/3)+1/3 s(2460) =< s(2452)*(1/3) s(2461) =< s(2452)*(1/3)-1/3 s(2462) =< s(2452) s(2463) =< s(2452)*2+2 s(2464) =< s(2452)+1 s(2465) =< s(2455)*s(2459) s(2466) =< s(2455)*s(2460) s(2467) =< s(2452)*s(2460) s(2468) =< s(2456)*s(2461) s(2469) =< s(2455)*s(2462) s(2470) =< s(2455)*s(2463) s(2471) =< s(2458)*s(2464) s(2472) =< s(2458)*s(2462) s(2473) =< s(2469)*(1/3) s(2474) =< s(2469)*(1/2) s(2475) =< s(2470)*(2/3) s(2476) =< s(2470)*(1/3) s(2477) =< s(2470)*2 s(2478) =< s(2471)*(1/3) s(2479) =< s(2471)*(1/2) s(2480) =< s(2472)*(4/9) s(2481) =< s(2472)*(2/3) s(2482) =< s(2472)*(1/3) s(2483) =< s(2472)*(1/2) s(2484) =< s(2473) s(2485) =< s(2469) s(2486) =< s(2473) s(2487) =< s(2473) s(2488) =< s(2474) s(2486) =< s(2474) s(2488) =< s(2469) s(2486) =< s(2469) s(2489) =< s(2452)+1/3 s(2490) =< s(2488)*s(2452) s(2491) =< s(2486)*s(2489) s(2492) =< s(2460)+1/3 s(2493) =< s(2488)*s(2460) s(2494) =< s(2486)*s(2492) s(2495) =< s(2475) s(2496) =< s(2474) s(2497) =< s(2474) s(2496) =< s(2469) s(2497) =< s(2469) s(2496) =< s(2475) s(2497) =< s(2475) s(2497) =< s(2477) s(2498) =< s(2496)*s(2452) s(2499) =< s(2497)*s(2489) s(2495) =< s(2474) s(2495) =< s(2470) s(2500) =< s(2495)*s(2460) s(2501) =< s(2495)*s(2492) s(2502) =< s(2485)*s(2460) s(2503) =< s(2485)*s(2452) s(2504) =< s(2474) s(2487) =< s(2474) s(2504) =< s(2476) s(2487) =< s(2476) s(2505) =< s(2504)*s(2460) s(2506) =< s(2487)*s(2492) s(2507) =< s(2471) s(2508) =< s(2507)*s(2459) s(2509) =< s(2479) s(2510) =< s(2479) s(2509) =< s(2471) s(2510) =< s(2471) s(2510) =< s(2478) s(2511) =< s(2459)+1/3 s(2512) =< s(2509)*s(2459) s(2513) =< s(2510)*s(2511) s(2514) =< s(2482) s(2515) =< s(2483) s(2516) =< s(2483) s(2515) =< s(2472) s(2516) =< s(2472) s(2516) =< s(2482) s(2517) =< s(2515)*s(2460) s(2518) =< s(2516)*s(2492) s(2519) =< s(2483) s(2520) =< s(2483) s(2519) =< s(2481) s(2520) =< s(2481) s(2520) =< s(2482) s(2520) =< s(2480) s(2521) =< s(2519)*s(2460) s(2522) =< s(2520)*s(2492) s(2384) =< s(2381) s(2385) =< s(2381) s(2387) =< s(2382) s(2385) =< s(2382) s(2385) =< s(2383) s(2388) =< s(2381)*(1/3)+1/3 s(2389) =< s(2381)*(1/3) s(2390) =< s(2381)*(1/3)-1/3 s(2391) =< s(2381) s(2392) =< s(2381)*2+2 s(2393) =< s(2381)+1 s(2394) =< s(2384)*s(2388) s(2395) =< s(2384)*s(2389) s(2396) =< s(2381)*s(2389) s(2397) =< s(2385)*s(2390) s(2398) =< s(2384)*s(2391) s(2399) =< s(2384)*s(2392) s(2400) =< s(2387)*s(2393) s(2401) =< s(2387)*s(2391) s(2402) =< s(2398)*(1/3) s(2403) =< s(2398)*(1/2) s(2404) =< s(2399)*(2/3) s(2405) =< s(2399)*(1/3) s(2406) =< s(2399)*2 s(2407) =< s(2400)*(1/3) s(2408) =< s(2400)*(1/2) s(2409) =< s(2401)*(4/9) s(2410) =< s(2401)*(2/3) s(2411) =< s(2401)*(1/3) s(2412) =< s(2401)*(1/2) s(2413) =< s(2402) s(2414) =< s(2398) s(2415) =< s(2402) s(2416) =< s(2402) s(2417) =< s(2403) s(2415) =< s(2403) s(2417) =< s(2398) s(2415) =< s(2398) s(2418) =< s(2381)+1/3 s(2419) =< s(2417)*s(2381) s(2420) =< s(2415)*s(2418) s(2421) =< s(2389)+1/3 s(2422) =< s(2417)*s(2389) s(2423) =< s(2415)*s(2421) s(2424) =< s(2404) s(2425) =< s(2403) s(2426) =< s(2403) s(2425) =< s(2398) s(2426) =< s(2398) s(2425) =< s(2404) s(2426) =< s(2404) s(2426) =< s(2406) s(2427) =< s(2425)*s(2381) s(2428) =< s(2426)*s(2418) s(2424) =< s(2403) s(2424) =< s(2399) s(2429) =< s(2424)*s(2389) s(2430) =< s(2424)*s(2421) s(2431) =< s(2414)*s(2389) s(2432) =< s(2414)*s(2381) s(2433) =< s(2403) s(2416) =< s(2403) s(2433) =< s(2405) s(2416) =< s(2405) s(2434) =< s(2433)*s(2389) s(2435) =< s(2416)*s(2421) s(2436) =< s(2400) s(2437) =< s(2436)*s(2388) s(2438) =< s(2408) s(2439) =< s(2408) s(2438) =< s(2400) s(2439) =< s(2400) s(2439) =< s(2407) s(2440) =< s(2388)+1/3 s(2441) =< s(2438)*s(2388) s(2442) =< s(2439)*s(2440) s(2443) =< s(2411) s(2444) =< s(2412) s(2445) =< s(2412) s(2444) =< s(2401) s(2445) =< s(2401) s(2445) =< s(2411) s(2446) =< s(2444)*s(2389) s(2447) =< s(2445)*s(2421) s(2448) =< s(2412) s(2449) =< s(2412) s(2448) =< s(2410) s(2449) =< s(2410) s(2449) =< s(2411) s(2449) =< s(2409) s(2450) =< s(2448)*s(2389) s(2451) =< s(2449)*s(2421) with precondition: [V>=1,V2>=1,Out>=1,V+V2+1>=Out] #### Cost of chains of fun5(V,V2,V11,Out): * Chain [93]: 28*s(2527)+8*s(2530)+4*s(2537)+4*s(2538)+4*s(2539)+4*s(2540)+12*s(2556)+124*s(2557)+132*s(2558)+24*s(2559)+132*s(2560)+8*s(2562)+8*s(2563)+28*s(2565)+28*s(2566)+24*s(2567)+24*s(2568)+24*s(2569)+4*s(2570)+4*s(2571)+4*s(2572)+4*s(2573)+24*s(2574)+16*s(2575)+24*s(2576)+8*s(2577)+8*s(2578)+32*s(2579)+8*s(2580)+24*s(2581)+24*s(2582)+4*s(2584)+4*s(2585)+8*s(2586)+24*s(2587)+24*s(2588)+4*s(2589)+4*s(2590)+24*s(2591)+24*s(2592)+4*s(2593)+4*s(2594)+28*s(2599)+8*s(2602)+4*s(2609)+4*s(2610)+4*s(2611)+4*s(2612)+12*s(2628)+124*s(2629)+132*s(2630)+24*s(2631)+132*s(2632)+8*s(2634)+8*s(2635)+28*s(2637)+28*s(2638)+24*s(2639)+24*s(2640)+24*s(2641)+4*s(2642)+4*s(2643)+4*s(2644)+4*s(2645)+24*s(2646)+16*s(2647)+24*s(2648)+8*s(2649)+8*s(2650)+32*s(2651)+8*s(2652)+24*s(2653)+24*s(2654)+4*s(2656)+4*s(2657)+8*s(2658)+24*s(2659)+24*s(2660)+4*s(2661)+4*s(2662)+24*s(2663)+24*s(2664)+4*s(2665)+4*s(2666)+4*s(2667)+28*s(2814)+8*s(2817)+4*s(2824)+4*s(2825)+4*s(2826)+4*s(2827)+12*s(2843)+124*s(2844)+132*s(2845)+24*s(2846)+132*s(2847)+8*s(2849)+8*s(2850)+28*s(2852)+28*s(2853)+24*s(2854)+24*s(2855)+24*s(2856)+4*s(2857)+4*s(2858)+4*s(2859)+4*s(2860)+24*s(2861)+16*s(2862)+24*s(2863)+8*s(2864)+8*s(2865)+32*s(2866)+8*s(2867)+24*s(2868)+24*s(2869)+4*s(2871)+4*s(2872)+8*s(2873)+24*s(2874)+24*s(2875)+4*s(2876)+4*s(2877)+24*s(2878)+24*s(2879)+4*s(2880)+4*s(2881)+0 Such that:aux(148) =< V aux(149) =< V/2 aux(150) =< V/3 aux(151) =< V2 aux(152) =< V2/2 aux(153) =< V2/3 aux(154) =< V11 aux(155) =< V11/2 aux(156) =< V11/3 s(2814) =< aux(148) s(2815) =< aux(148) s(2817) =< aux(149) s(2815) =< aux(149) s(2815) =< aux(150) s(2818) =< aux(148)*(1/3)+1/3 s(2819) =< aux(148)*(1/3) s(2820) =< aux(148)*(1/3)-1/3 s(2821) =< aux(148) s(2822) =< aux(148)*2+2 s(2823) =< aux(148)+1 s(2824) =< s(2814)*s(2818) s(2825) =< s(2814)*s(2819) s(2826) =< aux(148)*s(2819) s(2827) =< s(2815)*s(2820) s(2828) =< s(2814)*s(2821) s(2829) =< s(2814)*s(2822) s(2830) =< s(2817)*s(2823) s(2831) =< s(2817)*s(2821) s(2832) =< s(2828)*(1/3) s(2833) =< s(2828)*(1/2) s(2834) =< s(2829)*(2/3) s(2835) =< s(2829)*(1/3) s(2836) =< s(2829)*2 s(2837) =< s(2830)*(1/3) s(2838) =< s(2830)*(1/2) s(2839) =< s(2831)*(4/9) s(2840) =< s(2831)*(2/3) s(2841) =< s(2831)*(1/3) s(2842) =< s(2831)*(1/2) s(2843) =< s(2832) s(2844) =< s(2828) s(2845) =< s(2832) s(2846) =< s(2832) s(2847) =< s(2833) s(2845) =< s(2833) s(2847) =< s(2828) s(2845) =< s(2828) s(2848) =< aux(148)+1/3 s(2849) =< s(2847)*aux(148) s(2850) =< s(2845)*s(2848) s(2851) =< s(2819)+1/3 s(2852) =< s(2847)*s(2819) s(2853) =< s(2845)*s(2851) s(2854) =< s(2834) s(2855) =< s(2833) s(2856) =< s(2833) s(2855) =< s(2828) s(2856) =< s(2828) s(2855) =< s(2834) s(2856) =< s(2834) s(2856) =< s(2836) s(2857) =< s(2855)*aux(148) s(2858) =< s(2856)*s(2848) s(2854) =< s(2833) s(2854) =< s(2829) s(2859) =< s(2854)*s(2819) s(2860) =< s(2854)*s(2851) s(2861) =< s(2844)*s(2819) s(2862) =< s(2844)*aux(148) s(2863) =< s(2833) s(2846) =< s(2833) s(2863) =< s(2835) s(2846) =< s(2835) s(2864) =< s(2863)*s(2819) s(2865) =< s(2846)*s(2851) s(2866) =< s(2830) s(2867) =< s(2866)*s(2818) s(2868) =< s(2838) s(2869) =< s(2838) s(2868) =< s(2830) s(2869) =< s(2830) s(2869) =< s(2837) s(2870) =< s(2818)+1/3 s(2871) =< s(2868)*s(2818) s(2872) =< s(2869)*s(2870) s(2873) =< s(2841) s(2874) =< s(2842) s(2875) =< s(2842) s(2874) =< s(2831) s(2875) =< s(2831) s(2875) =< s(2841) s(2876) =< s(2874)*s(2819) s(2877) =< s(2875)*s(2851) s(2878) =< s(2842) s(2879) =< s(2842) s(2878) =< s(2840) s(2879) =< s(2840) s(2879) =< s(2841) s(2879) =< s(2839) s(2880) =< s(2878)*s(2819) s(2881) =< s(2879)*s(2851) s(2527) =< aux(154) s(2528) =< aux(154) s(2530) =< aux(155) s(2528) =< aux(155) s(2528) =< aux(156) s(2531) =< aux(154)*(1/3)+1/3 s(2532) =< aux(154)*(1/3) s(2533) =< aux(154)*(1/3)-1/3 s(2534) =< aux(154) s(2535) =< aux(154)*2+2 s(2536) =< aux(154)+1 s(2537) =< s(2527)*s(2531) s(2538) =< s(2527)*s(2532) s(2539) =< aux(154)*s(2532) s(2540) =< s(2528)*s(2533) s(2541) =< s(2527)*s(2534) s(2542) =< s(2527)*s(2535) s(2543) =< s(2530)*s(2536) s(2544) =< s(2530)*s(2534) s(2545) =< s(2541)*(1/3) s(2546) =< s(2541)*(1/2) s(2547) =< s(2542)*(2/3) s(2548) =< s(2542)*(1/3) s(2549) =< s(2542)*2 s(2550) =< s(2543)*(1/3) s(2551) =< s(2543)*(1/2) s(2552) =< s(2544)*(4/9) s(2553) =< s(2544)*(2/3) s(2554) =< s(2544)*(1/3) s(2555) =< s(2544)*(1/2) s(2556) =< s(2545) s(2557) =< s(2541) s(2558) =< s(2545) s(2559) =< s(2545) s(2560) =< s(2546) s(2558) =< s(2546) s(2560) =< s(2541) s(2558) =< s(2541) s(2561) =< aux(154)+1/3 s(2562) =< s(2560)*aux(154) s(2563) =< s(2558)*s(2561) s(2564) =< s(2532)+1/3 s(2565) =< s(2560)*s(2532) s(2566) =< s(2558)*s(2564) s(2567) =< s(2547) s(2568) =< s(2546) s(2569) =< s(2546) s(2568) =< s(2541) s(2569) =< s(2541) s(2568) =< s(2547) s(2569) =< s(2547) s(2569) =< s(2549) s(2570) =< s(2568)*aux(154) s(2571) =< s(2569)*s(2561) s(2567) =< s(2546) s(2567) =< s(2542) s(2572) =< s(2567)*s(2532) s(2573) =< s(2567)*s(2564) s(2574) =< s(2557)*s(2532) s(2575) =< s(2557)*aux(154) s(2576) =< s(2546) s(2559) =< s(2546) s(2576) =< s(2548) s(2559) =< s(2548) s(2577) =< s(2576)*s(2532) s(2578) =< s(2559)*s(2564) s(2579) =< s(2543) s(2580) =< s(2579)*s(2531) s(2581) =< s(2551) s(2582) =< s(2551) s(2581) =< s(2543) s(2582) =< s(2543) s(2582) =< s(2550) s(2583) =< s(2531)+1/3 s(2584) =< s(2581)*s(2531) s(2585) =< s(2582)*s(2583) s(2586) =< s(2554) s(2587) =< s(2555) s(2588) =< s(2555) s(2587) =< s(2544) s(2588) =< s(2544) s(2588) =< s(2554) s(2589) =< s(2587)*s(2532) s(2590) =< s(2588)*s(2564) s(2591) =< s(2555) s(2592) =< s(2555) s(2591) =< s(2553) s(2592) =< s(2553) s(2592) =< s(2554) s(2592) =< s(2552) s(2593) =< s(2591)*s(2532) s(2594) =< s(2592)*s(2564) s(2667) =< aux(153) s(2599) =< aux(151) s(2600) =< aux(151) s(2602) =< aux(152) s(2600) =< aux(152) s(2600) =< aux(153) s(2603) =< aux(151)*(1/3)+1/3 s(2604) =< aux(151)*(1/3) s(2605) =< aux(151)*(1/3)-1/3 s(2606) =< aux(151) s(2607) =< aux(151)*2+2 s(2608) =< aux(151)+1 s(2609) =< s(2599)*s(2603) s(2610) =< s(2599)*s(2604) s(2611) =< aux(151)*s(2604) s(2612) =< s(2600)*s(2605) s(2613) =< s(2599)*s(2606) s(2614) =< s(2599)*s(2607) s(2615) =< s(2602)*s(2608) s(2616) =< s(2602)*s(2606) s(2617) =< s(2613)*(1/3) s(2618) =< s(2613)*(1/2) s(2619) =< s(2614)*(2/3) s(2620) =< s(2614)*(1/3) s(2621) =< s(2614)*2 s(2622) =< s(2615)*(1/3) s(2623) =< s(2615)*(1/2) s(2624) =< s(2616)*(4/9) s(2625) =< s(2616)*(2/3) s(2626) =< s(2616)*(1/3) s(2627) =< s(2616)*(1/2) s(2628) =< s(2617) s(2629) =< s(2613) s(2630) =< s(2617) s(2631) =< s(2617) s(2632) =< s(2618) s(2630) =< s(2618) s(2632) =< s(2613) s(2630) =< s(2613) s(2633) =< aux(151)+1/3 s(2634) =< s(2632)*aux(151) s(2635) =< s(2630)*s(2633) s(2636) =< s(2604)+1/3 s(2637) =< s(2632)*s(2604) s(2638) =< s(2630)*s(2636) s(2639) =< s(2619) s(2640) =< s(2618) s(2641) =< s(2618) s(2640) =< s(2613) s(2641) =< s(2613) s(2640) =< s(2619) s(2641) =< s(2619) s(2641) =< s(2621) s(2642) =< s(2640)*aux(151) s(2643) =< s(2641)*s(2633) s(2639) =< s(2618) s(2639) =< s(2614) s(2644) =< s(2639)*s(2604) s(2645) =< s(2639)*s(2636) s(2646) =< s(2629)*s(2604) s(2647) =< s(2629)*aux(151) s(2648) =< s(2618) s(2631) =< s(2618) s(2648) =< s(2620) s(2631) =< s(2620) s(2649) =< s(2648)*s(2604) s(2650) =< s(2631)*s(2636) s(2651) =< s(2615) s(2652) =< s(2651)*s(2603) s(2653) =< s(2623) s(2654) =< s(2623) s(2653) =< s(2615) s(2654) =< s(2615) s(2654) =< s(2622) s(2655) =< s(2603)+1/3 s(2656) =< s(2653)*s(2603) s(2657) =< s(2654)*s(2655) s(2658) =< s(2626) s(2659) =< s(2627) s(2660) =< s(2627) s(2659) =< s(2616) s(2660) =< s(2616) s(2660) =< s(2626) s(2661) =< s(2659)*s(2604) s(2662) =< s(2660)*s(2636) s(2663) =< s(2627) s(2664) =< s(2627) s(2663) =< s(2625) s(2664) =< s(2625) s(2664) =< s(2626) s(2664) =< s(2624) s(2665) =< s(2663)*s(2604) s(2666) =< s(2664)*s(2636) with precondition: [Out=0,V>=0,V2>=0,V11>=0] * Chain [92]: 0 with precondition: [Out=1,V>=0,V2>=0,V11>=0] * Chain [91]: 7*s(3386)+2*s(3389)+1*s(3396)+1*s(3397)+1*s(3398)+1*s(3399)+3*s(3415)+31*s(3416)+33*s(3417)+6*s(3418)+33*s(3419)+2*s(3421)+2*s(3422)+7*s(3424)+7*s(3425)+6*s(3426)+6*s(3427)+6*s(3428)+1*s(3429)+1*s(3430)+1*s(3431)+1*s(3432)+6*s(3433)+4*s(3434)+6*s(3435)+2*s(3436)+2*s(3437)+8*s(3438)+2*s(3439)+6*s(3440)+6*s(3441)+1*s(3443)+1*s(3444)+2*s(3445)+6*s(3446)+6*s(3447)+1*s(3448)+1*s(3449)+6*s(3450)+6*s(3451)+1*s(3452)+1*s(3453)+0 Such that:s(3383) =< V11 s(3384) =< V11/2 s(3385) =< V11/3 s(3386) =< s(3383) s(3387) =< s(3383) s(3389) =< s(3384) s(3387) =< s(3384) s(3387) =< s(3385) s(3390) =< s(3383)*(1/3)+1/3 s(3391) =< s(3383)*(1/3) s(3392) =< s(3383)*(1/3)-1/3 s(3393) =< s(3383) s(3394) =< s(3383)*2+2 s(3395) =< s(3383)+1 s(3396) =< s(3386)*s(3390) s(3397) =< s(3386)*s(3391) s(3398) =< s(3383)*s(3391) s(3399) =< s(3387)*s(3392) s(3400) =< s(3386)*s(3393) s(3401) =< s(3386)*s(3394) s(3402) =< s(3389)*s(3395) s(3403) =< s(3389)*s(3393) s(3404) =< s(3400)*(1/3) s(3405) =< s(3400)*(1/2) s(3406) =< s(3401)*(2/3) s(3407) =< s(3401)*(1/3) s(3408) =< s(3401)*2 s(3409) =< s(3402)*(1/3) s(3410) =< s(3402)*(1/2) s(3411) =< s(3403)*(4/9) s(3412) =< s(3403)*(2/3) s(3413) =< s(3403)*(1/3) s(3414) =< s(3403)*(1/2) s(3415) =< s(3404) s(3416) =< s(3400) s(3417) =< s(3404) s(3418) =< s(3404) s(3419) =< s(3405) s(3417) =< s(3405) s(3419) =< s(3400) s(3417) =< s(3400) s(3420) =< s(3383)+1/3 s(3421) =< s(3419)*s(3383) s(3422) =< s(3417)*s(3420) s(3423) =< s(3391)+1/3 s(3424) =< s(3419)*s(3391) s(3425) =< s(3417)*s(3423) s(3426) =< s(3406) s(3427) =< s(3405) s(3428) =< s(3405) s(3427) =< s(3400) s(3428) =< s(3400) s(3427) =< s(3406) s(3428) =< s(3406) s(3428) =< s(3408) s(3429) =< s(3427)*s(3383) s(3430) =< s(3428)*s(3420) s(3426) =< s(3405) s(3426) =< s(3401) s(3431) =< s(3426)*s(3391) s(3432) =< s(3426)*s(3423) s(3433) =< s(3416)*s(3391) s(3434) =< s(3416)*s(3383) s(3435) =< s(3405) s(3418) =< s(3405) s(3435) =< s(3407) s(3418) =< s(3407) s(3436) =< s(3435)*s(3391) s(3437) =< s(3418)*s(3423) s(3438) =< s(3402) s(3439) =< s(3438)*s(3390) s(3440) =< s(3410) s(3441) =< s(3410) s(3440) =< s(3402) s(3441) =< s(3402) s(3441) =< s(3409) s(3442) =< s(3390)+1/3 s(3443) =< s(3440)*s(3390) s(3444) =< s(3441)*s(3442) s(3445) =< s(3413) s(3446) =< s(3414) s(3447) =< s(3414) s(3446) =< s(3403) s(3447) =< s(3403) s(3447) =< s(3413) s(3448) =< s(3446)*s(3391) s(3449) =< s(3447)*s(3423) s(3450) =< s(3414) s(3451) =< s(3414) s(3450) =< s(3412) s(3451) =< s(3412) s(3451) =< s(3413) s(3451) =< s(3411) s(3452) =< s(3450)*s(3391) s(3453) =< s(3451)*s(3423) with precondition: [V>=0,V2>=0,V11>=1,Out>=1,V11+1>=Out] * Chain [90]: 7*s(3457)+2*s(3460)+1*s(3467)+1*s(3468)+1*s(3469)+1*s(3470)+3*s(3486)+31*s(3487)+33*s(3488)+6*s(3489)+33*s(3490)+2*s(3492)+2*s(3493)+7*s(3495)+7*s(3496)+6*s(3497)+6*s(3498)+6*s(3499)+1*s(3500)+1*s(3501)+1*s(3502)+1*s(3503)+6*s(3504)+4*s(3505)+6*s(3506)+2*s(3507)+2*s(3508)+8*s(3509)+2*s(3510)+6*s(3511)+6*s(3512)+1*s(3514)+1*s(3515)+2*s(3516)+6*s(3517)+6*s(3518)+1*s(3519)+1*s(3520)+6*s(3521)+6*s(3522)+1*s(3523)+1*s(3524)+0 Such that:s(3454) =< V2 s(3455) =< V2/2 s(3456) =< V2/3 s(3457) =< s(3454) s(3458) =< s(3454) s(3460) =< s(3455) s(3458) =< s(3455) s(3458) =< s(3456) s(3461) =< s(3454)*(1/3)+1/3 s(3462) =< s(3454)*(1/3) s(3463) =< s(3454)*(1/3)-1/3 s(3464) =< s(3454) s(3465) =< s(3454)*2+2 s(3466) =< s(3454)+1 s(3467) =< s(3457)*s(3461) s(3468) =< s(3457)*s(3462) s(3469) =< s(3454)*s(3462) s(3470) =< s(3458)*s(3463) s(3471) =< s(3457)*s(3464) s(3472) =< s(3457)*s(3465) s(3473) =< s(3460)*s(3466) s(3474) =< s(3460)*s(3464) s(3475) =< s(3471)*(1/3) s(3476) =< s(3471)*(1/2) s(3477) =< s(3472)*(2/3) s(3478) =< s(3472)*(1/3) s(3479) =< s(3472)*2 s(3480) =< s(3473)*(1/3) s(3481) =< s(3473)*(1/2) s(3482) =< s(3474)*(4/9) s(3483) =< s(3474)*(2/3) s(3484) =< s(3474)*(1/3) s(3485) =< s(3474)*(1/2) s(3486) =< s(3475) s(3487) =< s(3471) s(3488) =< s(3475) s(3489) =< s(3475) s(3490) =< s(3476) s(3488) =< s(3476) s(3490) =< s(3471) s(3488) =< s(3471) s(3491) =< s(3454)+1/3 s(3492) =< s(3490)*s(3454) s(3493) =< s(3488)*s(3491) s(3494) =< s(3462)+1/3 s(3495) =< s(3490)*s(3462) s(3496) =< s(3488)*s(3494) s(3497) =< s(3477) s(3498) =< s(3476) s(3499) =< s(3476) s(3498) =< s(3471) s(3499) =< s(3471) s(3498) =< s(3477) s(3499) =< s(3477) s(3499) =< s(3479) s(3500) =< s(3498)*s(3454) s(3501) =< s(3499)*s(3491) s(3497) =< s(3476) s(3497) =< s(3472) s(3502) =< s(3497)*s(3462) s(3503) =< s(3497)*s(3494) s(3504) =< s(3487)*s(3462) s(3505) =< s(3487)*s(3454) s(3506) =< s(3476) s(3489) =< s(3476) s(3506) =< s(3478) s(3489) =< s(3478) s(3507) =< s(3506)*s(3462) s(3508) =< s(3489)*s(3494) s(3509) =< s(3473) s(3510) =< s(3509)*s(3461) s(3511) =< s(3481) s(3512) =< s(3481) s(3511) =< s(3473) s(3512) =< s(3473) s(3512) =< s(3480) s(3513) =< s(3461)+1/3 s(3514) =< s(3511)*s(3461) s(3515) =< s(3512)*s(3513) s(3516) =< s(3484) s(3517) =< s(3485) s(3518) =< s(3485) s(3517) =< s(3474) s(3518) =< s(3474) s(3518) =< s(3484) s(3519) =< s(3517)*s(3462) s(3520) =< s(3518)*s(3494) s(3521) =< s(3485) s(3522) =< s(3485) s(3521) =< s(3483) s(3522) =< s(3483) s(3522) =< s(3484) s(3522) =< s(3482) s(3523) =< s(3521)*s(3462) s(3524) =< s(3522)*s(3494) with precondition: [V>=0,V2>=1,V11>=0,Out>=1,V2+1>=Out] * Chain [89]: 14*s(3528)+4*s(3531)+2*s(3538)+2*s(3539)+2*s(3540)+2*s(3541)+6*s(3557)+62*s(3558)+66*s(3559)+12*s(3560)+66*s(3561)+4*s(3563)+4*s(3564)+14*s(3566)+14*s(3567)+12*s(3568)+12*s(3569)+12*s(3570)+2*s(3571)+2*s(3572)+2*s(3573)+2*s(3574)+12*s(3575)+8*s(3576)+12*s(3577)+4*s(3578)+4*s(3579)+16*s(3580)+4*s(3581)+12*s(3582)+12*s(3583)+2*s(3585)+2*s(3586)+4*s(3587)+12*s(3588)+12*s(3589)+2*s(3590)+2*s(3591)+12*s(3592)+12*s(3593)+2*s(3594)+2*s(3595)+14*s(3599)+4*s(3602)+2*s(3609)+2*s(3610)+2*s(3611)+2*s(3612)+6*s(3628)+62*s(3629)+66*s(3630)+12*s(3631)+66*s(3632)+4*s(3634)+4*s(3635)+14*s(3637)+14*s(3638)+12*s(3639)+12*s(3640)+12*s(3641)+2*s(3642)+2*s(3643)+2*s(3644)+2*s(3645)+12*s(3646)+8*s(3647)+12*s(3648)+4*s(3649)+4*s(3650)+16*s(3651)+4*s(3652)+12*s(3653)+12*s(3654)+2*s(3656)+2*s(3657)+4*s(3658)+12*s(3659)+12*s(3660)+2*s(3661)+2*s(3662)+12*s(3663)+12*s(3664)+2*s(3665)+2*s(3666)+1*s(3809)+0 Such that:aux(158) =< V2 aux(159) =< V2/2 aux(160) =< V2/3 aux(161) =< V11 aux(162) =< V11/2 aux(163) =< V11/3 s(3599) =< aux(161) s(3600) =< aux(161) s(3602) =< aux(162) s(3600) =< aux(162) s(3600) =< aux(163) s(3603) =< aux(161)*(1/3)+1/3 s(3604) =< aux(161)*(1/3) s(3605) =< aux(161)*(1/3)-1/3 s(3606) =< aux(161) s(3607) =< aux(161)*2+2 s(3608) =< aux(161)+1 s(3609) =< s(3599)*s(3603) s(3610) =< s(3599)*s(3604) s(3611) =< aux(161)*s(3604) s(3612) =< s(3600)*s(3605) s(3613) =< s(3599)*s(3606) s(3614) =< s(3599)*s(3607) s(3615) =< s(3602)*s(3608) s(3616) =< s(3602)*s(3606) s(3617) =< s(3613)*(1/3) s(3618) =< s(3613)*(1/2) s(3619) =< s(3614)*(2/3) s(3620) =< s(3614)*(1/3) s(3621) =< s(3614)*2 s(3622) =< s(3615)*(1/3) s(3623) =< s(3615)*(1/2) s(3624) =< s(3616)*(4/9) s(3625) =< s(3616)*(2/3) s(3626) =< s(3616)*(1/3) s(3627) =< s(3616)*(1/2) s(3628) =< s(3617) s(3629) =< s(3613) s(3630) =< s(3617) s(3631) =< s(3617) s(3632) =< s(3618) s(3630) =< s(3618) s(3632) =< s(3613) s(3630) =< s(3613) s(3633) =< aux(161)+1/3 s(3634) =< s(3632)*aux(161) s(3635) =< s(3630)*s(3633) s(3636) =< s(3604)+1/3 s(3637) =< s(3632)*s(3604) s(3638) =< s(3630)*s(3636) s(3639) =< s(3619) s(3640) =< s(3618) s(3641) =< s(3618) s(3640) =< s(3613) s(3641) =< s(3613) s(3640) =< s(3619) s(3641) =< s(3619) s(3641) =< s(3621) s(3642) =< s(3640)*aux(161) s(3643) =< s(3641)*s(3633) s(3639) =< s(3618) s(3639) =< s(3614) s(3644) =< s(3639)*s(3604) s(3645) =< s(3639)*s(3636) s(3646) =< s(3629)*s(3604) s(3647) =< s(3629)*aux(161) s(3648) =< s(3618) s(3631) =< s(3618) s(3648) =< s(3620) s(3631) =< s(3620) s(3649) =< s(3648)*s(3604) s(3650) =< s(3631)*s(3636) s(3651) =< s(3615) s(3652) =< s(3651)*s(3603) s(3653) =< s(3623) s(3654) =< s(3623) s(3653) =< s(3615) s(3654) =< s(3615) s(3654) =< s(3622) s(3655) =< s(3603)+1/3 s(3656) =< s(3653)*s(3603) s(3657) =< s(3654)*s(3655) s(3658) =< s(3626) s(3659) =< s(3627) s(3660) =< s(3627) s(3659) =< s(3616) s(3660) =< s(3616) s(3660) =< s(3626) s(3661) =< s(3659)*s(3604) s(3662) =< s(3660)*s(3636) s(3663) =< s(3627) s(3664) =< s(3627) s(3663) =< s(3625) s(3664) =< s(3625) s(3664) =< s(3626) s(3664) =< s(3624) s(3665) =< s(3663)*s(3604) s(3666) =< s(3664)*s(3636) s(3528) =< aux(158) s(3529) =< aux(158) s(3531) =< aux(159) s(3529) =< aux(159) s(3529) =< aux(160) s(3532) =< aux(158)*(1/3)+1/3 s(3533) =< aux(158)*(1/3) s(3534) =< aux(158)*(1/3)-1/3 s(3535) =< aux(158) s(3536) =< aux(158)*2+2 s(3537) =< aux(158)+1 s(3538) =< s(3528)*s(3532) s(3539) =< s(3528)*s(3533) s(3540) =< aux(158)*s(3533) s(3541) =< s(3529)*s(3534) s(3542) =< s(3528)*s(3535) s(3543) =< s(3528)*s(3536) s(3544) =< s(3531)*s(3537) s(3545) =< s(3531)*s(3535) s(3546) =< s(3542)*(1/3) s(3547) =< s(3542)*(1/2) s(3548) =< s(3543)*(2/3) s(3549) =< s(3543)*(1/3) s(3550) =< s(3543)*2 s(3551) =< s(3544)*(1/3) s(3552) =< s(3544)*(1/2) s(3553) =< s(3545)*(4/9) s(3554) =< s(3545)*(2/3) s(3555) =< s(3545)*(1/3) s(3556) =< s(3545)*(1/2) s(3557) =< s(3546) s(3558) =< s(3542) s(3559) =< s(3546) s(3560) =< s(3546) s(3561) =< s(3547) s(3559) =< s(3547) s(3561) =< s(3542) s(3559) =< s(3542) s(3562) =< aux(158)+1/3 s(3563) =< s(3561)*aux(158) s(3564) =< s(3559)*s(3562) s(3565) =< s(3533)+1/3 s(3566) =< s(3561)*s(3533) s(3567) =< s(3559)*s(3565) s(3568) =< s(3548) s(3569) =< s(3547) s(3570) =< s(3547) s(3569) =< s(3542) s(3570) =< s(3542) s(3569) =< s(3548) s(3570) =< s(3548) s(3570) =< s(3550) s(3571) =< s(3569)*aux(158) s(3572) =< s(3570)*s(3562) s(3568) =< s(3547) s(3568) =< s(3543) s(3573) =< s(3568)*s(3533) s(3574) =< s(3568)*s(3565) s(3575) =< s(3558)*s(3533) s(3576) =< s(3558)*aux(158) s(3577) =< s(3547) s(3560) =< s(3547) s(3577) =< s(3549) s(3560) =< s(3549) s(3578) =< s(3577)*s(3533) s(3579) =< s(3560)*s(3565) s(3580) =< s(3544) s(3581) =< s(3580)*s(3532) s(3582) =< s(3552) s(3583) =< s(3552) s(3582) =< s(3544) s(3583) =< s(3544) s(3583) =< s(3551) s(3584) =< s(3532)+1/3 s(3585) =< s(3582)*s(3532) s(3586) =< s(3583)*s(3584) s(3587) =< s(3555) s(3588) =< s(3556) s(3589) =< s(3556) s(3588) =< s(3545) s(3589) =< s(3545) s(3589) =< s(3555) s(3590) =< s(3588)*s(3533) s(3591) =< s(3589)*s(3565) s(3592) =< s(3556) s(3593) =< s(3556) s(3592) =< s(3554) s(3593) =< s(3554) s(3593) =< s(3555) s(3593) =< s(3553) s(3594) =< s(3592)*s(3533) s(3595) =< s(3593)*s(3565) s(3809) =< aux(160) with precondition: [V>=0,V2>=1,V11>=1,Out>=1,V2+V11+1>=Out] * Chain [88]: 7*s(3813)+2*s(3816)+1*s(3823)+1*s(3824)+1*s(3825)+1*s(3826)+3*s(3842)+31*s(3843)+33*s(3844)+6*s(3845)+33*s(3846)+2*s(3848)+2*s(3849)+7*s(3851)+7*s(3852)+6*s(3853)+6*s(3854)+6*s(3855)+1*s(3856)+1*s(3857)+1*s(3858)+1*s(3859)+6*s(3860)+4*s(3861)+6*s(3862)+2*s(3863)+2*s(3864)+8*s(3865)+2*s(3866)+6*s(3867)+6*s(3868)+1*s(3870)+1*s(3871)+2*s(3872)+6*s(3873)+6*s(3874)+1*s(3875)+1*s(3876)+6*s(3877)+6*s(3878)+1*s(3879)+1*s(3880)+0 Such that:s(3810) =< V s(3811) =< V/2 s(3812) =< V/3 s(3813) =< s(3810) s(3814) =< s(3810) s(3816) =< s(3811) s(3814) =< s(3811) s(3814) =< s(3812) s(3817) =< s(3810)*(1/3)+1/3 s(3818) =< s(3810)*(1/3) s(3819) =< s(3810)*(1/3)-1/3 s(3820) =< s(3810) s(3821) =< s(3810)*2+2 s(3822) =< s(3810)+1 s(3823) =< s(3813)*s(3817) s(3824) =< s(3813)*s(3818) s(3825) =< s(3810)*s(3818) s(3826) =< s(3814)*s(3819) s(3827) =< s(3813)*s(3820) s(3828) =< s(3813)*s(3821) s(3829) =< s(3816)*s(3822) s(3830) =< s(3816)*s(3820) s(3831) =< s(3827)*(1/3) s(3832) =< s(3827)*(1/2) s(3833) =< s(3828)*(2/3) s(3834) =< s(3828)*(1/3) s(3835) =< s(3828)*2 s(3836) =< s(3829)*(1/3) s(3837) =< s(3829)*(1/2) s(3838) =< s(3830)*(4/9) s(3839) =< s(3830)*(2/3) s(3840) =< s(3830)*(1/3) s(3841) =< s(3830)*(1/2) s(3842) =< s(3831) s(3843) =< s(3827) s(3844) =< s(3831) s(3845) =< s(3831) s(3846) =< s(3832) s(3844) =< s(3832) s(3846) =< s(3827) s(3844) =< s(3827) s(3847) =< s(3810)+1/3 s(3848) =< s(3846)*s(3810) s(3849) =< s(3844)*s(3847) s(3850) =< s(3818)+1/3 s(3851) =< s(3846)*s(3818) s(3852) =< s(3844)*s(3850) s(3853) =< s(3833) s(3854) =< s(3832) s(3855) =< s(3832) s(3854) =< s(3827) s(3855) =< s(3827) s(3854) =< s(3833) s(3855) =< s(3833) s(3855) =< s(3835) s(3856) =< s(3854)*s(3810) s(3857) =< s(3855)*s(3847) s(3853) =< s(3832) s(3853) =< s(3828) s(3858) =< s(3853)*s(3818) s(3859) =< s(3853)*s(3850) s(3860) =< s(3843)*s(3818) s(3861) =< s(3843)*s(3810) s(3862) =< s(3832) s(3845) =< s(3832) s(3862) =< s(3834) s(3845) =< s(3834) s(3863) =< s(3862)*s(3818) s(3864) =< s(3845)*s(3850) s(3865) =< s(3829) s(3866) =< s(3865)*s(3817) s(3867) =< s(3837) s(3868) =< s(3837) s(3867) =< s(3829) s(3868) =< s(3829) s(3868) =< s(3836) s(3869) =< s(3817)+1/3 s(3870) =< s(3867)*s(3817) s(3871) =< s(3868)*s(3869) s(3872) =< s(3840) s(3873) =< s(3841) s(3874) =< s(3841) s(3873) =< s(3830) s(3874) =< s(3830) s(3874) =< s(3840) s(3875) =< s(3873)*s(3818) s(3876) =< s(3874)*s(3850) s(3877) =< s(3841) s(3878) =< s(3841) s(3877) =< s(3839) s(3878) =< s(3839) s(3878) =< s(3840) s(3878) =< s(3838) s(3879) =< s(3877)*s(3818) s(3880) =< s(3878)*s(3850) with precondition: [V>=1,V2>=0,V11>=0,Out>=1,V+1>=Out] * Chain [87]: 7*s(3884)+2*s(3887)+1*s(3894)+1*s(3895)+1*s(3896)+1*s(3897)+3*s(3913)+31*s(3914)+33*s(3915)+6*s(3916)+33*s(3917)+2*s(3919)+2*s(3920)+7*s(3922)+7*s(3923)+6*s(3924)+6*s(3925)+6*s(3926)+1*s(3927)+1*s(3928)+1*s(3929)+1*s(3930)+6*s(3931)+4*s(3932)+6*s(3933)+2*s(3934)+2*s(3935)+8*s(3936)+2*s(3937)+6*s(3938)+6*s(3939)+1*s(3941)+1*s(3942)+2*s(3943)+6*s(3944)+6*s(3945)+1*s(3946)+1*s(3947)+6*s(3948)+6*s(3949)+1*s(3950)+1*s(3951)+7*s(3955)+2*s(3958)+1*s(3965)+1*s(3966)+1*s(3967)+1*s(3968)+3*s(3984)+31*s(3985)+33*s(3986)+6*s(3987)+33*s(3988)+2*s(3990)+2*s(3991)+7*s(3993)+7*s(3994)+6*s(3995)+6*s(3996)+6*s(3997)+1*s(3998)+1*s(3999)+1*s(4000)+1*s(4001)+6*s(4002)+4*s(4003)+6*s(4004)+2*s(4005)+2*s(4006)+8*s(4007)+2*s(4008)+6*s(4009)+6*s(4010)+1*s(4012)+1*s(4013)+2*s(4014)+6*s(4015)+6*s(4016)+1*s(4017)+1*s(4018)+6*s(4019)+6*s(4020)+1*s(4021)+1*s(4022)+0 Such that:s(3881) =< V s(3882) =< V/2 s(3883) =< V/3 s(3952) =< V11 s(3953) =< V11/2 s(3954) =< V11/3 s(3955) =< s(3952) s(3956) =< s(3952) s(3958) =< s(3953) s(3956) =< s(3953) s(3956) =< s(3954) s(3959) =< s(3952)*(1/3)+1/3 s(3960) =< s(3952)*(1/3) s(3961) =< s(3952)*(1/3)-1/3 s(3962) =< s(3952) s(3963) =< s(3952)*2+2 s(3964) =< s(3952)+1 s(3965) =< s(3955)*s(3959) s(3966) =< s(3955)*s(3960) s(3967) =< s(3952)*s(3960) s(3968) =< s(3956)*s(3961) s(3969) =< s(3955)*s(3962) s(3970) =< s(3955)*s(3963) s(3971) =< s(3958)*s(3964) s(3972) =< s(3958)*s(3962) s(3973) =< s(3969)*(1/3) s(3974) =< s(3969)*(1/2) s(3975) =< s(3970)*(2/3) s(3976) =< s(3970)*(1/3) s(3977) =< s(3970)*2 s(3978) =< s(3971)*(1/3) s(3979) =< s(3971)*(1/2) s(3980) =< s(3972)*(4/9) s(3981) =< s(3972)*(2/3) s(3982) =< s(3972)*(1/3) s(3983) =< s(3972)*(1/2) s(3984) =< s(3973) s(3985) =< s(3969) s(3986) =< s(3973) s(3987) =< s(3973) s(3988) =< s(3974) s(3986) =< s(3974) s(3988) =< s(3969) s(3986) =< s(3969) s(3989) =< s(3952)+1/3 s(3990) =< s(3988)*s(3952) s(3991) =< s(3986)*s(3989) s(3992) =< s(3960)+1/3 s(3993) =< s(3988)*s(3960) s(3994) =< s(3986)*s(3992) s(3995) =< s(3975) s(3996) =< s(3974) s(3997) =< s(3974) s(3996) =< s(3969) s(3997) =< s(3969) s(3996) =< s(3975) s(3997) =< s(3975) s(3997) =< s(3977) s(3998) =< s(3996)*s(3952) s(3999) =< s(3997)*s(3989) s(3995) =< s(3974) s(3995) =< s(3970) s(4000) =< s(3995)*s(3960) s(4001) =< s(3995)*s(3992) s(4002) =< s(3985)*s(3960) s(4003) =< s(3985)*s(3952) s(4004) =< s(3974) s(3987) =< s(3974) s(4004) =< s(3976) s(3987) =< s(3976) s(4005) =< s(4004)*s(3960) s(4006) =< s(3987)*s(3992) s(4007) =< s(3971) s(4008) =< s(4007)*s(3959) s(4009) =< s(3979) s(4010) =< s(3979) s(4009) =< s(3971) s(4010) =< s(3971) s(4010) =< s(3978) s(4011) =< s(3959)+1/3 s(4012) =< s(4009)*s(3959) s(4013) =< s(4010)*s(4011) s(4014) =< s(3982) s(4015) =< s(3983) s(4016) =< s(3983) s(4015) =< s(3972) s(4016) =< s(3972) s(4016) =< s(3982) s(4017) =< s(4015)*s(3960) s(4018) =< s(4016)*s(3992) s(4019) =< s(3983) s(4020) =< s(3983) s(4019) =< s(3981) s(4020) =< s(3981) s(4020) =< s(3982) s(4020) =< s(3980) s(4021) =< s(4019)*s(3960) s(4022) =< s(4020)*s(3992) s(3884) =< s(3881) s(3885) =< s(3881) s(3887) =< s(3882) s(3885) =< s(3882) s(3885) =< s(3883) s(3888) =< s(3881)*(1/3)+1/3 s(3889) =< s(3881)*(1/3) s(3890) =< s(3881)*(1/3)-1/3 s(3891) =< s(3881) s(3892) =< s(3881)*2+2 s(3893) =< s(3881)+1 s(3894) =< s(3884)*s(3888) s(3895) =< s(3884)*s(3889) s(3896) =< s(3881)*s(3889) s(3897) =< s(3885)*s(3890) s(3898) =< s(3884)*s(3891) s(3899) =< s(3884)*s(3892) s(3900) =< s(3887)*s(3893) s(3901) =< s(3887)*s(3891) s(3902) =< s(3898)*(1/3) s(3903) =< s(3898)*(1/2) s(3904) =< s(3899)*(2/3) s(3905) =< s(3899)*(1/3) s(3906) =< s(3899)*2 s(3907) =< s(3900)*(1/3) s(3908) =< s(3900)*(1/2) s(3909) =< s(3901)*(4/9) s(3910) =< s(3901)*(2/3) s(3911) =< s(3901)*(1/3) s(3912) =< s(3901)*(1/2) s(3913) =< s(3902) s(3914) =< s(3898) s(3915) =< s(3902) s(3916) =< s(3902) s(3917) =< s(3903) s(3915) =< s(3903) s(3917) =< s(3898) s(3915) =< s(3898) s(3918) =< s(3881)+1/3 s(3919) =< s(3917)*s(3881) s(3920) =< s(3915)*s(3918) s(3921) =< s(3889)+1/3 s(3922) =< s(3917)*s(3889) s(3923) =< s(3915)*s(3921) s(3924) =< s(3904) s(3925) =< s(3903) s(3926) =< s(3903) s(3925) =< s(3898) s(3926) =< s(3898) s(3925) =< s(3904) s(3926) =< s(3904) s(3926) =< s(3906) s(3927) =< s(3925)*s(3881) s(3928) =< s(3926)*s(3918) s(3924) =< s(3903) s(3924) =< s(3899) s(3929) =< s(3924)*s(3889) s(3930) =< s(3924)*s(3921) s(3931) =< s(3914)*s(3889) s(3932) =< s(3914)*s(3881) s(3933) =< s(3903) s(3916) =< s(3903) s(3933) =< s(3905) s(3916) =< s(3905) s(3934) =< s(3933)*s(3889) s(3935) =< s(3916)*s(3921) s(3936) =< s(3900) s(3937) =< s(3936)*s(3888) s(3938) =< s(3908) s(3939) =< s(3908) s(3938) =< s(3900) s(3939) =< s(3900) s(3939) =< s(3907) s(3940) =< s(3888)+1/3 s(3941) =< s(3938)*s(3888) s(3942) =< s(3939)*s(3940) s(3943) =< s(3911) s(3944) =< s(3912) s(3945) =< s(3912) s(3944) =< s(3901) s(3945) =< s(3901) s(3945) =< s(3911) s(3946) =< s(3944)*s(3889) s(3947) =< s(3945)*s(3921) s(3948) =< s(3912) s(3949) =< s(3912) s(3948) =< s(3910) s(3949) =< s(3910) s(3949) =< s(3911) s(3949) =< s(3909) s(3950) =< s(3948)*s(3889) s(3951) =< s(3949)*s(3921) with precondition: [V>=1,V2>=0,V11>=1,Out>=1,V+V11+1>=Out] * Chain [86]: 7*s(4026)+2*s(4029)+1*s(4036)+1*s(4037)+1*s(4038)+1*s(4039)+3*s(4055)+31*s(4056)+33*s(4057)+6*s(4058)+33*s(4059)+2*s(4061)+2*s(4062)+7*s(4064)+7*s(4065)+6*s(4066)+6*s(4067)+6*s(4068)+1*s(4069)+1*s(4070)+1*s(4071)+1*s(4072)+6*s(4073)+4*s(4074)+6*s(4075)+2*s(4076)+2*s(4077)+8*s(4078)+2*s(4079)+6*s(4080)+6*s(4081)+1*s(4083)+1*s(4084)+2*s(4085)+6*s(4086)+6*s(4087)+1*s(4088)+1*s(4089)+6*s(4090)+6*s(4091)+1*s(4092)+1*s(4093)+7*s(4097)+2*s(4100)+1*s(4107)+1*s(4108)+1*s(4109)+1*s(4110)+3*s(4126)+31*s(4127)+33*s(4128)+6*s(4129)+33*s(4130)+2*s(4132)+2*s(4133)+7*s(4135)+7*s(4136)+6*s(4137)+6*s(4138)+6*s(4139)+1*s(4140)+1*s(4141)+1*s(4142)+1*s(4143)+6*s(4144)+4*s(4145)+6*s(4146)+2*s(4147)+2*s(4148)+8*s(4149)+2*s(4150)+6*s(4151)+6*s(4152)+1*s(4154)+1*s(4155)+2*s(4156)+6*s(4157)+6*s(4158)+1*s(4159)+1*s(4160)+6*s(4161)+6*s(4162)+1*s(4163)+1*s(4164)+0 Such that:s(4023) =< V s(4024) =< V/2 s(4025) =< V/3 s(4094) =< V2 s(4095) =< V2/2 s(4096) =< V2/3 s(4097) =< s(4094) s(4098) =< s(4094) s(4100) =< s(4095) s(4098) =< s(4095) s(4098) =< s(4096) s(4101) =< s(4094)*(1/3)+1/3 s(4102) =< s(4094)*(1/3) s(4103) =< s(4094)*(1/3)-1/3 s(4104) =< s(4094) s(4105) =< s(4094)*2+2 s(4106) =< s(4094)+1 s(4107) =< s(4097)*s(4101) s(4108) =< s(4097)*s(4102) s(4109) =< s(4094)*s(4102) s(4110) =< s(4098)*s(4103) s(4111) =< s(4097)*s(4104) s(4112) =< s(4097)*s(4105) s(4113) =< s(4100)*s(4106) s(4114) =< s(4100)*s(4104) s(4115) =< s(4111)*(1/3) s(4116) =< s(4111)*(1/2) s(4117) =< s(4112)*(2/3) s(4118) =< s(4112)*(1/3) s(4119) =< s(4112)*2 s(4120) =< s(4113)*(1/3) s(4121) =< s(4113)*(1/2) s(4122) =< s(4114)*(4/9) s(4123) =< s(4114)*(2/3) s(4124) =< s(4114)*(1/3) s(4125) =< s(4114)*(1/2) s(4126) =< s(4115) s(4127) =< s(4111) s(4128) =< s(4115) s(4129) =< s(4115) s(4130) =< s(4116) s(4128) =< s(4116) s(4130) =< s(4111) s(4128) =< s(4111) s(4131) =< s(4094)+1/3 s(4132) =< s(4130)*s(4094) s(4133) =< s(4128)*s(4131) s(4134) =< s(4102)+1/3 s(4135) =< s(4130)*s(4102) s(4136) =< s(4128)*s(4134) s(4137) =< s(4117) s(4138) =< s(4116) s(4139) =< s(4116) s(4138) =< s(4111) s(4139) =< s(4111) s(4138) =< s(4117) s(4139) =< s(4117) s(4139) =< s(4119) s(4140) =< s(4138)*s(4094) s(4141) =< s(4139)*s(4131) s(4137) =< s(4116) s(4137) =< s(4112) s(4142) =< s(4137)*s(4102) s(4143) =< s(4137)*s(4134) s(4144) =< s(4127)*s(4102) s(4145) =< s(4127)*s(4094) s(4146) =< s(4116) s(4129) =< s(4116) s(4146) =< s(4118) s(4129) =< s(4118) s(4147) =< s(4146)*s(4102) s(4148) =< s(4129)*s(4134) s(4149) =< s(4113) s(4150) =< s(4149)*s(4101) s(4151) =< s(4121) s(4152) =< s(4121) s(4151) =< s(4113) s(4152) =< s(4113) s(4152) =< s(4120) s(4153) =< s(4101)+1/3 s(4154) =< s(4151)*s(4101) s(4155) =< s(4152)*s(4153) s(4156) =< s(4124) s(4157) =< s(4125) s(4158) =< s(4125) s(4157) =< s(4114) s(4158) =< s(4114) s(4158) =< s(4124) s(4159) =< s(4157)*s(4102) s(4160) =< s(4158)*s(4134) s(4161) =< s(4125) s(4162) =< s(4125) s(4161) =< s(4123) s(4162) =< s(4123) s(4162) =< s(4124) s(4162) =< s(4122) s(4163) =< s(4161)*s(4102) s(4164) =< s(4162)*s(4134) s(4026) =< s(4023) s(4027) =< s(4023) s(4029) =< s(4024) s(4027) =< s(4024) s(4027) =< s(4025) s(4030) =< s(4023)*(1/3)+1/3 s(4031) =< s(4023)*(1/3) s(4032) =< s(4023)*(1/3)-1/3 s(4033) =< s(4023) s(4034) =< s(4023)*2+2 s(4035) =< s(4023)+1 s(4036) =< s(4026)*s(4030) s(4037) =< s(4026)*s(4031) s(4038) =< s(4023)*s(4031) s(4039) =< s(4027)*s(4032) s(4040) =< s(4026)*s(4033) s(4041) =< s(4026)*s(4034) s(4042) =< s(4029)*s(4035) s(4043) =< s(4029)*s(4033) s(4044) =< s(4040)*(1/3) s(4045) =< s(4040)*(1/2) s(4046) =< s(4041)*(2/3) s(4047) =< s(4041)*(1/3) s(4048) =< s(4041)*2 s(4049) =< s(4042)*(1/3) s(4050) =< s(4042)*(1/2) s(4051) =< s(4043)*(4/9) s(4052) =< s(4043)*(2/3) s(4053) =< s(4043)*(1/3) s(4054) =< s(4043)*(1/2) s(4055) =< s(4044) s(4056) =< s(4040) s(4057) =< s(4044) s(4058) =< s(4044) s(4059) =< s(4045) s(4057) =< s(4045) s(4059) =< s(4040) s(4057) =< s(4040) s(4060) =< s(4023)+1/3 s(4061) =< s(4059)*s(4023) s(4062) =< s(4057)*s(4060) s(4063) =< s(4031)+1/3 s(4064) =< s(4059)*s(4031) s(4065) =< s(4057)*s(4063) s(4066) =< s(4046) s(4067) =< s(4045) s(4068) =< s(4045) s(4067) =< s(4040) s(4068) =< s(4040) s(4067) =< s(4046) s(4068) =< s(4046) s(4068) =< s(4048) s(4069) =< s(4067)*s(4023) s(4070) =< s(4068)*s(4060) s(4066) =< s(4045) s(4066) =< s(4041) s(4071) =< s(4066)*s(4031) s(4072) =< s(4066)*s(4063) s(4073) =< s(4056)*s(4031) s(4074) =< s(4056)*s(4023) s(4075) =< s(4045) s(4058) =< s(4045) s(4075) =< s(4047) s(4058) =< s(4047) s(4076) =< s(4075)*s(4031) s(4077) =< s(4058)*s(4063) s(4078) =< s(4042) s(4079) =< s(4078)*s(4030) s(4080) =< s(4050) s(4081) =< s(4050) s(4080) =< s(4042) s(4081) =< s(4042) s(4081) =< s(4049) s(4082) =< s(4030)+1/3 s(4083) =< s(4080)*s(4030) s(4084) =< s(4081)*s(4082) s(4085) =< s(4053) s(4086) =< s(4054) s(4087) =< s(4054) s(4086) =< s(4043) s(4087) =< s(4043) s(4087) =< s(4053) s(4088) =< s(4086)*s(4031) s(4089) =< s(4087)*s(4063) s(4090) =< s(4054) s(4091) =< s(4054) s(4090) =< s(4052) s(4091) =< s(4052) s(4091) =< s(4053) s(4091) =< s(4051) s(4092) =< s(4090)*s(4031) s(4093) =< s(4091)*s(4063) with precondition: [V>=1,V2>=1,V11>=0,Out>=1,V+V2+1>=Out] * Chain [85]: 14*s(4168)+4*s(4171)+2*s(4178)+2*s(4179)+2*s(4180)+2*s(4181)+6*s(4197)+62*s(4198)+66*s(4199)+12*s(4200)+66*s(4201)+4*s(4203)+4*s(4204)+14*s(4206)+14*s(4207)+12*s(4208)+12*s(4209)+12*s(4210)+2*s(4211)+2*s(4212)+2*s(4213)+2*s(4214)+12*s(4215)+8*s(4216)+12*s(4217)+4*s(4218)+4*s(4219)+16*s(4220)+4*s(4221)+12*s(4222)+12*s(4223)+2*s(4225)+2*s(4226)+4*s(4227)+12*s(4228)+12*s(4229)+2*s(4230)+2*s(4231)+12*s(4232)+12*s(4233)+2*s(4234)+2*s(4235)+14*s(4239)+4*s(4242)+2*s(4249)+2*s(4250)+2*s(4251)+2*s(4252)+6*s(4268)+62*s(4269)+66*s(4270)+12*s(4271)+66*s(4272)+4*s(4274)+4*s(4275)+14*s(4277)+14*s(4278)+12*s(4279)+12*s(4280)+12*s(4281)+2*s(4282)+2*s(4283)+2*s(4284)+2*s(4285)+12*s(4286)+8*s(4287)+12*s(4288)+4*s(4289)+4*s(4290)+16*s(4291)+4*s(4292)+12*s(4293)+12*s(4294)+2*s(4296)+2*s(4297)+4*s(4298)+12*s(4299)+12*s(4300)+2*s(4301)+2*s(4302)+12*s(4303)+12*s(4304)+2*s(4305)+2*s(4306)+14*s(4310)+4*s(4313)+2*s(4320)+2*s(4321)+2*s(4322)+2*s(4323)+6*s(4339)+62*s(4340)+66*s(4341)+12*s(4342)+66*s(4343)+4*s(4345)+4*s(4346)+14*s(4348)+14*s(4349)+12*s(4350)+12*s(4351)+12*s(4352)+2*s(4353)+2*s(4354)+2*s(4355)+2*s(4356)+12*s(4357)+8*s(4358)+12*s(4359)+4*s(4360)+4*s(4361)+16*s(4362)+4*s(4363)+12*s(4364)+12*s(4365)+2*s(4367)+2*s(4368)+4*s(4369)+12*s(4370)+12*s(4371)+2*s(4372)+2*s(4373)+12*s(4374)+12*s(4375)+2*s(4376)+2*s(4377)+1*s(4591)+0 Such that:aux(165) =< V aux(166) =< V/2 aux(167) =< V/3 aux(168) =< V2 aux(169) =< V2/2 aux(170) =< V2/3 aux(171) =< V11 aux(172) =< V11/2 aux(173) =< V11/3 s(4310) =< aux(171) s(4311) =< aux(171) s(4313) =< aux(172) s(4311) =< aux(172) s(4311) =< aux(173) s(4314) =< aux(171)*(1/3)+1/3 s(4315) =< aux(171)*(1/3) s(4316) =< aux(171)*(1/3)-1/3 s(4317) =< aux(171) s(4318) =< aux(171)*2+2 s(4319) =< aux(171)+1 s(4320) =< s(4310)*s(4314) s(4321) =< s(4310)*s(4315) s(4322) =< aux(171)*s(4315) s(4323) =< s(4311)*s(4316) s(4324) =< s(4310)*s(4317) s(4325) =< s(4310)*s(4318) s(4326) =< s(4313)*s(4319) s(4327) =< s(4313)*s(4317) s(4328) =< s(4324)*(1/3) s(4329) =< s(4324)*(1/2) s(4330) =< s(4325)*(2/3) s(4331) =< s(4325)*(1/3) s(4332) =< s(4325)*2 s(4333) =< s(4326)*(1/3) s(4334) =< s(4326)*(1/2) s(4335) =< s(4327)*(4/9) s(4336) =< s(4327)*(2/3) s(4337) =< s(4327)*(1/3) s(4338) =< s(4327)*(1/2) s(4339) =< s(4328) s(4340) =< s(4324) s(4341) =< s(4328) s(4342) =< s(4328) s(4343) =< s(4329) s(4341) =< s(4329) s(4343) =< s(4324) s(4341) =< s(4324) s(4344) =< aux(171)+1/3 s(4345) =< s(4343)*aux(171) s(4346) =< s(4341)*s(4344) s(4347) =< s(4315)+1/3 s(4348) =< s(4343)*s(4315) s(4349) =< s(4341)*s(4347) s(4350) =< s(4330) s(4351) =< s(4329) s(4352) =< s(4329) s(4351) =< s(4324) s(4352) =< s(4324) s(4351) =< s(4330) s(4352) =< s(4330) s(4352) =< s(4332) s(4353) =< s(4351)*aux(171) s(4354) =< s(4352)*s(4344) s(4350) =< s(4329) s(4350) =< s(4325) s(4355) =< s(4350)*s(4315) s(4356) =< s(4350)*s(4347) s(4357) =< s(4340)*s(4315) s(4358) =< s(4340)*aux(171) s(4359) =< s(4329) s(4342) =< s(4329) s(4359) =< s(4331) s(4342) =< s(4331) s(4360) =< s(4359)*s(4315) s(4361) =< s(4342)*s(4347) s(4362) =< s(4326) s(4363) =< s(4362)*s(4314) s(4364) =< s(4334) s(4365) =< s(4334) s(4364) =< s(4326) s(4365) =< s(4326) s(4365) =< s(4333) s(4366) =< s(4314)+1/3 s(4367) =< s(4364)*s(4314) s(4368) =< s(4365)*s(4366) s(4369) =< s(4337) s(4370) =< s(4338) s(4371) =< s(4338) s(4370) =< s(4327) s(4371) =< s(4327) s(4371) =< s(4337) s(4372) =< s(4370)*s(4315) s(4373) =< s(4371)*s(4347) s(4374) =< s(4338) s(4375) =< s(4338) s(4374) =< s(4336) s(4375) =< s(4336) s(4375) =< s(4337) s(4375) =< s(4335) s(4376) =< s(4374)*s(4315) s(4377) =< s(4375)*s(4347) s(4239) =< aux(168) s(4240) =< aux(168) s(4242) =< aux(169) s(4240) =< aux(169) s(4240) =< aux(170) s(4243) =< aux(168)*(1/3)+1/3 s(4244) =< aux(168)*(1/3) s(4245) =< aux(168)*(1/3)-1/3 s(4246) =< aux(168) s(4247) =< aux(168)*2+2 s(4248) =< aux(168)+1 s(4249) =< s(4239)*s(4243) s(4250) =< s(4239)*s(4244) s(4251) =< aux(168)*s(4244) s(4252) =< s(4240)*s(4245) s(4253) =< s(4239)*s(4246) s(4254) =< s(4239)*s(4247) s(4255) =< s(4242)*s(4248) s(4256) =< s(4242)*s(4246) s(4257) =< s(4253)*(1/3) s(4258) =< s(4253)*(1/2) s(4259) =< s(4254)*(2/3) s(4260) =< s(4254)*(1/3) s(4261) =< s(4254)*2 s(4262) =< s(4255)*(1/3) s(4263) =< s(4255)*(1/2) s(4264) =< s(4256)*(4/9) s(4265) =< s(4256)*(2/3) s(4266) =< s(4256)*(1/3) s(4267) =< s(4256)*(1/2) s(4268) =< s(4257) s(4269) =< s(4253) s(4270) =< s(4257) s(4271) =< s(4257) s(4272) =< s(4258) s(4270) =< s(4258) s(4272) =< s(4253) s(4270) =< s(4253) s(4273) =< aux(168)+1/3 s(4274) =< s(4272)*aux(168) s(4275) =< s(4270)*s(4273) s(4276) =< s(4244)+1/3 s(4277) =< s(4272)*s(4244) s(4278) =< s(4270)*s(4276) s(4279) =< s(4259) s(4280) =< s(4258) s(4281) =< s(4258) s(4280) =< s(4253) s(4281) =< s(4253) s(4280) =< s(4259) s(4281) =< s(4259) s(4281) =< s(4261) s(4282) =< s(4280)*aux(168) s(4283) =< s(4281)*s(4273) s(4279) =< s(4258) s(4279) =< s(4254) s(4284) =< s(4279)*s(4244) s(4285) =< s(4279)*s(4276) s(4286) =< s(4269)*s(4244) s(4287) =< s(4269)*aux(168) s(4288) =< s(4258) s(4271) =< s(4258) s(4288) =< s(4260) s(4271) =< s(4260) s(4289) =< s(4288)*s(4244) s(4290) =< s(4271)*s(4276) s(4291) =< s(4255) s(4292) =< s(4291)*s(4243) s(4293) =< s(4263) s(4294) =< s(4263) s(4293) =< s(4255) s(4294) =< s(4255) s(4294) =< s(4262) s(4295) =< s(4243)+1/3 s(4296) =< s(4293)*s(4243) s(4297) =< s(4294)*s(4295) s(4298) =< s(4266) s(4299) =< s(4267) s(4300) =< s(4267) s(4299) =< s(4256) s(4300) =< s(4256) s(4300) =< s(4266) s(4301) =< s(4299)*s(4244) s(4302) =< s(4300)*s(4276) s(4303) =< s(4267) s(4304) =< s(4267) s(4303) =< s(4265) s(4304) =< s(4265) s(4304) =< s(4266) s(4304) =< s(4264) s(4305) =< s(4303)*s(4244) s(4306) =< s(4304)*s(4276) s(4168) =< aux(165) s(4169) =< aux(165) s(4171) =< aux(166) s(4169) =< aux(166) s(4169) =< aux(167) s(4172) =< aux(165)*(1/3)+1/3 s(4173) =< aux(165)*(1/3) s(4174) =< aux(165)*(1/3)-1/3 s(4175) =< aux(165) s(4176) =< aux(165)*2+2 s(4177) =< aux(165)+1 s(4178) =< s(4168)*s(4172) s(4179) =< s(4168)*s(4173) s(4180) =< aux(165)*s(4173) s(4181) =< s(4169)*s(4174) s(4182) =< s(4168)*s(4175) s(4183) =< s(4168)*s(4176) s(4184) =< s(4171)*s(4177) s(4185) =< s(4171)*s(4175) s(4186) =< s(4182)*(1/3) s(4187) =< s(4182)*(1/2) s(4188) =< s(4183)*(2/3) s(4189) =< s(4183)*(1/3) s(4190) =< s(4183)*2 s(4191) =< s(4184)*(1/3) s(4192) =< s(4184)*(1/2) s(4193) =< s(4185)*(4/9) s(4194) =< s(4185)*(2/3) s(4195) =< s(4185)*(1/3) s(4196) =< s(4185)*(1/2) s(4197) =< s(4186) s(4198) =< s(4182) s(4199) =< s(4186) s(4200) =< s(4186) s(4201) =< s(4187) s(4199) =< s(4187) s(4201) =< s(4182) s(4199) =< s(4182) s(4202) =< aux(165)+1/3 s(4203) =< s(4201)*aux(165) s(4204) =< s(4199)*s(4202) s(4205) =< s(4173)+1/3 s(4206) =< s(4201)*s(4173) s(4207) =< s(4199)*s(4205) s(4208) =< s(4188) s(4209) =< s(4187) s(4210) =< s(4187) s(4209) =< s(4182) s(4210) =< s(4182) s(4209) =< s(4188) s(4210) =< s(4188) s(4210) =< s(4190) s(4211) =< s(4209)*aux(165) s(4212) =< s(4210)*s(4202) s(4208) =< s(4187) s(4208) =< s(4183) s(4213) =< s(4208)*s(4173) s(4214) =< s(4208)*s(4205) s(4215) =< s(4198)*s(4173) s(4216) =< s(4198)*aux(165) s(4217) =< s(4187) s(4200) =< s(4187) s(4217) =< s(4189) s(4200) =< s(4189) s(4218) =< s(4217)*s(4173) s(4219) =< s(4200)*s(4205) s(4220) =< s(4184) s(4221) =< s(4220)*s(4172) s(4222) =< s(4192) s(4223) =< s(4192) s(4222) =< s(4184) s(4223) =< s(4184) s(4223) =< s(4191) s(4224) =< s(4172)+1/3 s(4225) =< s(4222)*s(4172) s(4226) =< s(4223)*s(4224) s(4227) =< s(4195) s(4228) =< s(4196) s(4229) =< s(4196) s(4228) =< s(4185) s(4229) =< s(4185) s(4229) =< s(4195) s(4230) =< s(4228)*s(4173) s(4231) =< s(4229)*s(4205) s(4232) =< s(4196) s(4233) =< s(4196) s(4232) =< s(4194) s(4233) =< s(4194) s(4233) =< s(4195) s(4233) =< s(4193) s(4234) =< s(4232)*s(4173) s(4235) =< s(4233)*s(4205) s(4591) =< aux(170) with precondition: [V>=1,V2>=1,V11>=1,Out>=1,V+V2+V11+1>=Out] #### Cost of chains of fun7(V,Out): * Chain [96]: 0 with precondition: [Out=0,V>=0] * Chain [95]: 0 with precondition: [Out=1,V>=0] * Chain [94]: 7*s(4595)+2*s(4598)+1*s(4605)+1*s(4606)+1*s(4607)+1*s(4608)+3*s(4624)+31*s(4625)+33*s(4626)+6*s(4627)+33*s(4628)+2*s(4630)+2*s(4631)+7*s(4633)+7*s(4634)+6*s(4635)+6*s(4636)+6*s(4637)+1*s(4638)+1*s(4639)+1*s(4640)+1*s(4641)+6*s(4642)+4*s(4643)+6*s(4644)+2*s(4645)+2*s(4646)+8*s(4647)+2*s(4648)+6*s(4649)+6*s(4650)+1*s(4652)+1*s(4653)+2*s(4654)+6*s(4655)+6*s(4656)+1*s(4657)+1*s(4658)+6*s(4659)+6*s(4660)+1*s(4661)+1*s(4662)+0 Such that:s(4592) =< V s(4593) =< V/2 s(4594) =< V/3 s(4595) =< s(4592) s(4596) =< s(4592) s(4598) =< s(4593) s(4596) =< s(4593) s(4596) =< s(4594) s(4599) =< s(4592)*(1/3)+1/3 s(4600) =< s(4592)*(1/3) s(4601) =< s(4592)*(1/3)-1/3 s(4602) =< s(4592) s(4603) =< s(4592)*2+2 s(4604) =< s(4592)+1 s(4605) =< s(4595)*s(4599) s(4606) =< s(4595)*s(4600) s(4607) =< s(4592)*s(4600) s(4608) =< s(4596)*s(4601) s(4609) =< s(4595)*s(4602) s(4610) =< s(4595)*s(4603) s(4611) =< s(4598)*s(4604) s(4612) =< s(4598)*s(4602) s(4613) =< s(4609)*(1/3) s(4614) =< s(4609)*(1/2) s(4615) =< s(4610)*(2/3) s(4616) =< s(4610)*(1/3) s(4617) =< s(4610)*2 s(4618) =< s(4611)*(1/3) s(4619) =< s(4611)*(1/2) s(4620) =< s(4612)*(4/9) s(4621) =< s(4612)*(2/3) s(4622) =< s(4612)*(1/3) s(4623) =< s(4612)*(1/2) s(4624) =< s(4613) s(4625) =< s(4609) s(4626) =< s(4613) s(4627) =< s(4613) s(4628) =< s(4614) s(4626) =< s(4614) s(4628) =< s(4609) s(4626) =< s(4609) s(4629) =< s(4592)+1/3 s(4630) =< s(4628)*s(4592) s(4631) =< s(4626)*s(4629) s(4632) =< s(4600)+1/3 s(4633) =< s(4628)*s(4600) s(4634) =< s(4626)*s(4632) s(4635) =< s(4615) s(4636) =< s(4614) s(4637) =< s(4614) s(4636) =< s(4609) s(4637) =< s(4609) s(4636) =< s(4615) s(4637) =< s(4615) s(4637) =< s(4617) s(4638) =< s(4636)*s(4592) s(4639) =< s(4637)*s(4629) s(4635) =< s(4614) s(4635) =< s(4610) s(4640) =< s(4635)*s(4600) s(4641) =< s(4635)*s(4632) s(4642) =< s(4625)*s(4600) s(4643) =< s(4625)*s(4592) s(4644) =< s(4614) s(4627) =< s(4614) s(4644) =< s(4616) s(4627) =< s(4616) s(4645) =< s(4644)*s(4600) s(4646) =< s(4627)*s(4632) s(4647) =< s(4611) s(4648) =< s(4647)*s(4599) s(4649) =< s(4619) s(4650) =< s(4619) s(4649) =< s(4611) s(4650) =< s(4611) s(4650) =< s(4618) s(4651) =< s(4599)+1/3 s(4652) =< s(4649)*s(4599) s(4653) =< s(4650)*s(4651) s(4654) =< s(4622) s(4655) =< s(4623) s(4656) =< s(4623) s(4655) =< s(4612) s(4656) =< s(4612) s(4656) =< s(4622) s(4657) =< s(4655)*s(4600) s(4658) =< s(4656)*s(4632) s(4659) =< s(4623) s(4660) =< s(4623) s(4659) =< s(4621) s(4660) =< s(4621) s(4660) =< s(4622) s(4660) =< s(4620) s(4661) =< s(4659)*s(4600) s(4662) =< s(4660)*s(4632) with precondition: [V>=1,Out>=1,V+1>=Out] #### Cost of chains of fun8(V,Out): * Chain [98]: 7*s(4666)+2*s(4669)+1*s(4676)+1*s(4677)+1*s(4678)+1*s(4679)+3*s(4695)+31*s(4696)+33*s(4697)+6*s(4698)+33*s(4699)+2*s(4701)+2*s(4702)+7*s(4704)+7*s(4705)+6*s(4706)+6*s(4707)+6*s(4708)+1*s(4709)+1*s(4710)+1*s(4711)+1*s(4712)+6*s(4713)+4*s(4714)+6*s(4715)+2*s(4716)+2*s(4717)+8*s(4718)+2*s(4719)+6*s(4720)+6*s(4721)+1*s(4723)+1*s(4724)+2*s(4725)+6*s(4726)+6*s(4727)+1*s(4728)+1*s(4729)+6*s(4730)+6*s(4731)+1*s(4732)+1*s(4733)+0 Such that:s(4663) =< V s(4664) =< V/2 s(4665) =< V/3 s(4666) =< s(4663) s(4667) =< s(4663) s(4669) =< s(4664) s(4667) =< s(4664) s(4667) =< s(4665) s(4670) =< s(4663)*(1/3)+1/3 s(4671) =< s(4663)*(1/3) s(4672) =< s(4663)*(1/3)-1/3 s(4673) =< s(4663) s(4674) =< s(4663)*2+2 s(4675) =< s(4663)+1 s(4676) =< s(4666)*s(4670) s(4677) =< s(4666)*s(4671) s(4678) =< s(4663)*s(4671) s(4679) =< s(4667)*s(4672) s(4680) =< s(4666)*s(4673) s(4681) =< s(4666)*s(4674) s(4682) =< s(4669)*s(4675) s(4683) =< s(4669)*s(4673) s(4684) =< s(4680)*(1/3) s(4685) =< s(4680)*(1/2) s(4686) =< s(4681)*(2/3) s(4687) =< s(4681)*(1/3) s(4688) =< s(4681)*2 s(4689) =< s(4682)*(1/3) s(4690) =< s(4682)*(1/2) s(4691) =< s(4683)*(4/9) s(4692) =< s(4683)*(2/3) s(4693) =< s(4683)*(1/3) s(4694) =< s(4683)*(1/2) s(4695) =< s(4684) s(4696) =< s(4680) s(4697) =< s(4684) s(4698) =< s(4684) s(4699) =< s(4685) s(4697) =< s(4685) s(4699) =< s(4680) s(4697) =< s(4680) s(4700) =< s(4663)+1/3 s(4701) =< s(4699)*s(4663) s(4702) =< s(4697)*s(4700) s(4703) =< s(4671)+1/3 s(4704) =< s(4699)*s(4671) s(4705) =< s(4697)*s(4703) s(4706) =< s(4686) s(4707) =< s(4685) s(4708) =< s(4685) s(4707) =< s(4680) s(4708) =< s(4680) s(4707) =< s(4686) s(4708) =< s(4686) s(4708) =< s(4688) s(4709) =< s(4707)*s(4663) s(4710) =< s(4708)*s(4700) s(4706) =< s(4685) s(4706) =< s(4681) s(4711) =< s(4706)*s(4671) s(4712) =< s(4706)*s(4703) s(4713) =< s(4696)*s(4671) s(4714) =< s(4696)*s(4663) s(4715) =< s(4685) s(4698) =< s(4685) s(4715) =< s(4687) s(4698) =< s(4687) s(4716) =< s(4715)*s(4671) s(4717) =< s(4698)*s(4703) s(4718) =< s(4682) s(4719) =< s(4718)*s(4670) s(4720) =< s(4690) s(4721) =< s(4690) s(4720) =< s(4682) s(4721) =< s(4682) s(4721) =< s(4689) s(4722) =< s(4670)+1/3 s(4723) =< s(4720)*s(4670) s(4724) =< s(4721)*s(4722) s(4725) =< s(4693) s(4726) =< s(4694) s(4727) =< s(4694) s(4726) =< s(4683) s(4727) =< s(4683) s(4727) =< s(4693) s(4728) =< s(4726)*s(4671) s(4729) =< s(4727)*s(4703) s(4730) =< s(4694) s(4731) =< s(4694) s(4730) =< s(4692) s(4731) =< s(4692) s(4731) =< s(4693) s(4731) =< s(4691) s(4732) =< s(4730)*s(4671) s(4733) =< s(4731)*s(4703) with precondition: [Out=0,V>=0] * Chain [97]: 7*s(4737)+2*s(4740)+1*s(4747)+1*s(4748)+1*s(4749)+1*s(4750)+3*s(4766)+31*s(4767)+33*s(4768)+6*s(4769)+33*s(4770)+2*s(4772)+2*s(4773)+7*s(4775)+7*s(4776)+6*s(4777)+6*s(4778)+6*s(4779)+1*s(4780)+1*s(4781)+1*s(4782)+1*s(4783)+6*s(4784)+4*s(4785)+6*s(4786)+2*s(4787)+2*s(4788)+8*s(4789)+2*s(4790)+6*s(4791)+6*s(4792)+1*s(4794)+1*s(4795)+2*s(4796)+6*s(4797)+6*s(4798)+1*s(4799)+1*s(4800)+6*s(4801)+6*s(4802)+1*s(4803)+1*s(4804)+1 Such that:s(4734) =< V s(4735) =< V/2 s(4736) =< V/3 s(4737) =< s(4734) s(4738) =< s(4734) s(4740) =< s(4735) s(4738) =< s(4735) s(4738) =< s(4736) s(4741) =< s(4734)*(1/3)+1/3 s(4742) =< s(4734)*(1/3) s(4743) =< s(4734)*(1/3)-1/3 s(4744) =< s(4734) s(4745) =< s(4734)*2+2 s(4746) =< s(4734)+1 s(4747) =< s(4737)*s(4741) s(4748) =< s(4737)*s(4742) s(4749) =< s(4734)*s(4742) s(4750) =< s(4738)*s(4743) s(4751) =< s(4737)*s(4744) s(4752) =< s(4737)*s(4745) s(4753) =< s(4740)*s(4746) s(4754) =< s(4740)*s(4744) s(4755) =< s(4751)*(1/3) s(4756) =< s(4751)*(1/2) s(4757) =< s(4752)*(2/3) s(4758) =< s(4752)*(1/3) s(4759) =< s(4752)*2 s(4760) =< s(4753)*(1/3) s(4761) =< s(4753)*(1/2) s(4762) =< s(4754)*(4/9) s(4763) =< s(4754)*(2/3) s(4764) =< s(4754)*(1/3) s(4765) =< s(4754)*(1/2) s(4766) =< s(4755) s(4767) =< s(4751) s(4768) =< s(4755) s(4769) =< s(4755) s(4770) =< s(4756) s(4768) =< s(4756) s(4770) =< s(4751) s(4768) =< s(4751) s(4771) =< s(4734)+1/3 s(4772) =< s(4770)*s(4734) s(4773) =< s(4768)*s(4771) s(4774) =< s(4742)+1/3 s(4775) =< s(4770)*s(4742) s(4776) =< s(4768)*s(4774) s(4777) =< s(4757) s(4778) =< s(4756) s(4779) =< s(4756) s(4778) =< s(4751) s(4779) =< s(4751) s(4778) =< s(4757) s(4779) =< s(4757) s(4779) =< s(4759) s(4780) =< s(4778)*s(4734) s(4781) =< s(4779)*s(4771) s(4777) =< s(4756) s(4777) =< s(4752) s(4782) =< s(4777)*s(4742) s(4783) =< s(4777)*s(4774) s(4784) =< s(4767)*s(4742) s(4785) =< s(4767)*s(4734) s(4786) =< s(4756) s(4769) =< s(4756) s(4786) =< s(4758) s(4769) =< s(4758) s(4787) =< s(4786)*s(4742) s(4788) =< s(4769)*s(4774) s(4789) =< s(4753) s(4790) =< s(4789)*s(4741) s(4791) =< s(4761) s(4792) =< s(4761) s(4791) =< s(4753) s(4792) =< s(4753) s(4792) =< s(4760) s(4793) =< s(4741)+1/3 s(4794) =< s(4791)*s(4741) s(4795) =< s(4792)*s(4793) s(4796) =< s(4764) s(4797) =< s(4765) s(4798) =< s(4765) s(4797) =< s(4754) s(4798) =< s(4754) s(4798) =< s(4764) s(4799) =< s(4797)*s(4742) s(4800) =< s(4798)*s(4774) s(4801) =< s(4765) s(4802) =< s(4765) s(4801) =< s(4763) s(4802) =< s(4763) s(4802) =< s(4764) s(4802) =< s(4762) s(4803) =< s(4801)*s(4742) s(4804) =< s(4802)*s(4774) with precondition: [Out>=0,V>=Out+2] #### Cost of chains of fun9(V,Out): * Chain [101]: 0 with precondition: [Out=0,V>=0] * Chain [100]: 0 with precondition: [Out=1,V>=0] * Chain [99]: 7*s(4808)+2*s(4811)+1*s(4818)+1*s(4819)+1*s(4820)+1*s(4821)+3*s(4837)+31*s(4838)+33*s(4839)+6*s(4840)+33*s(4841)+2*s(4843)+2*s(4844)+7*s(4846)+7*s(4847)+6*s(4848)+6*s(4849)+6*s(4850)+1*s(4851)+1*s(4852)+1*s(4853)+1*s(4854)+6*s(4855)+4*s(4856)+6*s(4857)+2*s(4858)+2*s(4859)+8*s(4860)+2*s(4861)+6*s(4862)+6*s(4863)+1*s(4865)+1*s(4866)+2*s(4867)+6*s(4868)+6*s(4869)+1*s(4870)+1*s(4871)+6*s(4872)+6*s(4873)+1*s(4874)+1*s(4875)+0 Such that:s(4805) =< V s(4806) =< V/2 s(4807) =< V/3 s(4808) =< s(4805) s(4809) =< s(4805) s(4811) =< s(4806) s(4809) =< s(4806) s(4809) =< s(4807) s(4812) =< s(4805)*(1/3)+1/3 s(4813) =< s(4805)*(1/3) s(4814) =< s(4805)*(1/3)-1/3 s(4815) =< s(4805) s(4816) =< s(4805)*2+2 s(4817) =< s(4805)+1 s(4818) =< s(4808)*s(4812) s(4819) =< s(4808)*s(4813) s(4820) =< s(4805)*s(4813) s(4821) =< s(4809)*s(4814) s(4822) =< s(4808)*s(4815) s(4823) =< s(4808)*s(4816) s(4824) =< s(4811)*s(4817) s(4825) =< s(4811)*s(4815) s(4826) =< s(4822)*(1/3) s(4827) =< s(4822)*(1/2) s(4828) =< s(4823)*(2/3) s(4829) =< s(4823)*(1/3) s(4830) =< s(4823)*2 s(4831) =< s(4824)*(1/3) s(4832) =< s(4824)*(1/2) s(4833) =< s(4825)*(4/9) s(4834) =< s(4825)*(2/3) s(4835) =< s(4825)*(1/3) s(4836) =< s(4825)*(1/2) s(4837) =< s(4826) s(4838) =< s(4822) s(4839) =< s(4826) s(4840) =< s(4826) s(4841) =< s(4827) s(4839) =< s(4827) s(4841) =< s(4822) s(4839) =< s(4822) s(4842) =< s(4805)+1/3 s(4843) =< s(4841)*s(4805) s(4844) =< s(4839)*s(4842) s(4845) =< s(4813)+1/3 s(4846) =< s(4841)*s(4813) s(4847) =< s(4839)*s(4845) s(4848) =< s(4828) s(4849) =< s(4827) s(4850) =< s(4827) s(4849) =< s(4822) s(4850) =< s(4822) s(4849) =< s(4828) s(4850) =< s(4828) s(4850) =< s(4830) s(4851) =< s(4849)*s(4805) s(4852) =< s(4850)*s(4842) s(4848) =< s(4827) s(4848) =< s(4823) s(4853) =< s(4848)*s(4813) s(4854) =< s(4848)*s(4845) s(4855) =< s(4838)*s(4813) s(4856) =< s(4838)*s(4805) s(4857) =< s(4827) s(4840) =< s(4827) s(4857) =< s(4829) s(4840) =< s(4829) s(4858) =< s(4857)*s(4813) s(4859) =< s(4840)*s(4845) s(4860) =< s(4824) s(4861) =< s(4860)*s(4812) s(4862) =< s(4832) s(4863) =< s(4832) s(4862) =< s(4824) s(4863) =< s(4824) s(4863) =< s(4831) s(4864) =< s(4812)+1/3 s(4865) =< s(4862)*s(4812) s(4866) =< s(4863)*s(4864) s(4867) =< s(4835) s(4868) =< s(4836) s(4869) =< s(4836) s(4868) =< s(4825) s(4869) =< s(4825) s(4869) =< s(4835) s(4870) =< s(4868)*s(4813) s(4871) =< s(4869)*s(4845) s(4872) =< s(4836) s(4873) =< s(4836) s(4872) =< s(4834) s(4873) =< s(4834) s(4873) =< s(4835) s(4873) =< s(4833) s(4874) =< s(4872)*s(4813) s(4875) =< s(4873)*s(4845) with precondition: [V>=1,Out>=1,V+1>=Out] #### Cost of chains of start(V,V2,V11): * Chain [102]: 1*s(4878)+23*s(4887)+4*s(4888)+27*s(4889)+6*s(4890)+27*s(4891)+1*s(4893)+1*s(4894)+6*s(4896)+6*s(4897)+6*s(4898)+6*s(4899)+6*s(4900)+1*s(4901)+1*s(4902)+1*s(4903)+1*s(4904)+4*s(4905)+18*s(4906)+16*s(4907)+4*s(4908)+18*s(4909)+3*s(4910)+3*s(4911)+4*s(4912)+12*s(4913)+3*s(4914)+2*s(4915)+1*s(4916)+1*s(4917)+6*s(4945)+1*s(4947)+2*s(4948)+12*s(4950)+295*s(4955)+62*s(4958)+31*s(4965)+31*s(4966)+31*s(4967)+31*s(4968)+93*s(4984)+961*s(4985)+1023*s(4986)+186*s(4987)+1023*s(4988)+62*s(4990)+62*s(4991)+217*s(4993)+217*s(4994)+186*s(4995)+186*s(4996)+186*s(4997)+31*s(4998)+31*s(4999)+31*s(5000)+31*s(5001)+186*s(5002)+124*s(5003)+186*s(5004)+62*s(5005)+62*s(5006)+248*s(5007)+62*s(5008)+186*s(5009)+186*s(5010)+31*s(5012)+31*s(5013)+62*s(5014)+186*s(5015)+186*s(5016)+31*s(5017)+31*s(5018)+186*s(5019)+186*s(5020)+31*s(5021)+31*s(5022)+84*s(5035)+12*s(5036)+84*s(5037)+4*s(5039)+4*s(5040)+17*s(5042)+17*s(5043)+12*s(5044)+12*s(5045)+12*s(5046)+2*s(5047)+2*s(5048)+2*s(5049)+2*s(5050)+16*s(5051)+8*s(5052)+12*s(5053)+4*s(5054)+4*s(5055)+140*s(5121)+40*s(5123)+20*s(5130)+20*s(5131)+20*s(5132)+20*s(5133)+60*s(5149)+620*s(5150)+660*s(5151)+120*s(5152)+660*s(5153)+40*s(5155)+40*s(5156)+140*s(5158)+140*s(5159)+120*s(5160)+120*s(5161)+120*s(5162)+20*s(5163)+20*s(5164)+20*s(5165)+20*s(5166)+120*s(5167)+80*s(5168)+120*s(5169)+40*s(5170)+40*s(5171)+160*s(5172)+40*s(5173)+120*s(5174)+120*s(5175)+20*s(5177)+20*s(5178)+40*s(5179)+120*s(5180)+120*s(5181)+20*s(5182)+20*s(5183)+120*s(5184)+120*s(5185)+20*s(5186)+20*s(5187)+6*s(5552)+6*s(5553)+1*s(5554)+1*s(5555)+70*s(6544)+20*s(6546)+10*s(6553)+10*s(6554)+10*s(6555)+10*s(6556)+30*s(6572)+310*s(6573)+330*s(6574)+60*s(6575)+330*s(6576)+20*s(6578)+20*s(6579)+70*s(6581)+70*s(6582)+60*s(6583)+60*s(6584)+60*s(6585)+10*s(6586)+10*s(6587)+10*s(6588)+10*s(6589)+60*s(6590)+40*s(6591)+60*s(6592)+20*s(6593)+20*s(6594)+80*s(6595)+20*s(6596)+60*s(6597)+60*s(6598)+10*s(6600)+10*s(6601)+20*s(6602)+60*s(6603)+60*s(6604)+10*s(6605)+10*s(6606)+60*s(6607)+60*s(6608)+10*s(6609)+10*s(6610)+6*s(6611)+1 Such that:s(5024) =< 2*V+1 s(4876) =< 2*V-V2/2+1 s(5025) =< 4*V+2 s(4877) =< 4*V-V2+2 s(4878) =< V/3-2/3*V2 s(5028) =< 2/3*V+1/3 s(5404) =< 2/3*V+1/6 s(5029) =< 4/3*V+2/3 s(4879) =< 4/3*V-V2/3+2/3 s(5405) =< 4/9*V+1/9 s(4933) =< 4/9*V-V2/9+2/9 aux(174) =< V aux(175) =< V-V2 aux(176) =< V/2 aux(177) =< V/2-V2/2 aux(178) =< V/3 aux(179) =< V/3-V2/3 aux(180) =< 2/3*V-V2/6+1/3 aux(181) =< V2 aux(182) =< V2/2 aux(183) =< V2/3 aux(184) =< V2/3-V11/3 aux(185) =< V11 aux(186) =< V11/2 aux(187) =< V11/3 s(4950) =< aux(178) s(4948) =< aux(184) s(4887) =< aux(175) s(4888) =< aux(179) s(4889) =< aux(179) s(4890) =< aux(179) s(4891) =< aux(176) s(4889) =< aux(176) s(4891) =< aux(177) s(4889) =< aux(177) s(4891) =< aux(175) s(4889) =< aux(175) s(4892) =< aux(174)+1/3 s(4893) =< s(4891)*aux(174) s(4894) =< s(4889)*s(4892) s(4895) =< aux(178)+1/3 s(4896) =< s(4891)*aux(178) s(4897) =< s(4889)*s(4895) s(4898) =< s(4879) s(4899) =< aux(176) s(4900) =< aux(176) s(4899) =< aux(175) s(4900) =< aux(175) s(4899) =< s(4879) s(4900) =< s(4879) s(4900) =< s(4877) s(4901) =< s(4899)*aux(174) s(4902) =< s(4900)*s(4892) s(4898) =< aux(176) s(4898) =< aux(177) s(4898) =< s(4876) s(4903) =< s(4898)*aux(178) s(4904) =< s(4898)*s(4895) s(4905) =< s(4887)*aux(179) s(4906) =< aux(179) s(4907) =< aux(174) s(4907) =< aux(175) s(4908) =< s(4907)*aux(179) s(4909) =< aux(176) s(4906) =< aux(176) s(4909) =< aux(177) s(4906) =< aux(177) s(4909) =< aux(175) s(4906) =< aux(175) s(4909) =< aux(174) s(4906) =< aux(174) s(4910) =< s(4909)*aux(178) s(4911) =< s(4906)*s(4895) s(4912) =< s(4887)*aux(175) s(4913) =< aux(176) s(4890) =< aux(176) s(4913) =< aux(177) s(4890) =< aux(177) s(4913) =< aux(180) s(4890) =< aux(180) s(4914) =< s(4913)*aux(178) s(4915) =< s(4890)*s(4895) s(4916) =< s(4909)*aux(174) s(4917) =< s(4906)*s(4892) s(4955) =< aux(174) s(4956) =< aux(174) s(4958) =< aux(176) s(4956) =< aux(176) s(4956) =< aux(178) s(4959) =< aux(174)*(1/3)+1/3 s(4960) =< aux(174)*(1/3) s(4961) =< aux(174)*(1/3)-1/3 s(4962) =< aux(174) s(4963) =< aux(174)*2+2 s(4964) =< aux(174)+1 s(4965) =< s(4955)*s(4959) s(4966) =< s(4955)*s(4960) s(4967) =< aux(174)*s(4960) s(4968) =< s(4956)*s(4961) s(4969) =< s(4955)*s(4962) s(4970) =< s(4955)*s(4963) s(4971) =< s(4958)*s(4964) s(4972) =< s(4958)*s(4962) s(4973) =< s(4969)*(1/3) s(4974) =< s(4969)*(1/2) s(4975) =< s(4970)*(2/3) s(4976) =< s(4970)*(1/3) s(4977) =< s(4970)*2 s(4978) =< s(4971)*(1/3) s(4979) =< s(4971)*(1/2) s(4980) =< s(4972)*(4/9) s(4981) =< s(4972)*(2/3) s(4982) =< s(4972)*(1/3) s(4983) =< s(4972)*(1/2) s(4984) =< s(4973) s(4985) =< s(4969) s(4986) =< s(4973) s(4987) =< s(4973) s(4988) =< s(4974) s(4986) =< s(4974) s(4988) =< s(4969) s(4986) =< s(4969) s(4990) =< s(4988)*aux(174) s(4991) =< s(4986)*s(4892) s(4992) =< s(4960)+1/3 s(4993) =< s(4988)*s(4960) s(4994) =< s(4986)*s(4992) s(4995) =< s(4975) s(4996) =< s(4974) s(4997) =< s(4974) s(4996) =< s(4969) s(4997) =< s(4969) s(4996) =< s(4975) s(4997) =< s(4975) s(4997) =< s(4977) s(4998) =< s(4996)*aux(174) s(4999) =< s(4997)*s(4892) s(4995) =< s(4974) s(4995) =< s(4970) s(5000) =< s(4995)*s(4960) s(5001) =< s(4995)*s(4992) s(5002) =< s(4985)*s(4960) s(5003) =< s(4985)*aux(174) s(5004) =< s(4974) s(4987) =< s(4974) s(5004) =< s(4976) s(4987) =< s(4976) s(5005) =< s(5004)*s(4960) s(5006) =< s(4987)*s(4992) s(5007) =< s(4971) s(5008) =< s(5007)*s(4959) s(5009) =< s(4979) s(5010) =< s(4979) s(5009) =< s(4971) s(5010) =< s(4971) s(5010) =< s(4978) s(5011) =< s(4959)+1/3 s(5012) =< s(5009)*s(4959) s(5013) =< s(5010)*s(5011) s(5014) =< s(4982) s(5015) =< s(4983) s(5016) =< s(4983) s(5015) =< s(4972) s(5016) =< s(4972) s(5016) =< s(4982) s(5017) =< s(5015)*s(4960) s(5018) =< s(5016)*s(4992) s(5019) =< s(4983) s(5020) =< s(4983) s(5019) =< s(4981) s(5020) =< s(4981) s(5020) =< s(4982) s(5020) =< s(4980) s(5021) =< s(5019)*s(4960) s(5022) =< s(5020)*s(4992) s(5035) =< aux(178) s(5036) =< aux(178) s(5037) =< aux(176) s(5035) =< aux(176) s(5037) =< aux(174) s(5035) =< aux(174) s(5039) =< s(5037)*aux(174) s(5040) =< s(5035)*s(4892) s(5042) =< s(5037)*aux(178) s(5043) =< s(5035)*s(4895) s(5044) =< s(5029) s(5045) =< aux(176) s(5046) =< aux(176) s(5045) =< aux(174) s(5046) =< aux(174) s(5045) =< s(5029) s(5046) =< s(5029) s(5046) =< s(5025) s(5047) =< s(5045)*aux(174) s(5048) =< s(5046)*s(4892) s(5044) =< aux(176) s(5044) =< s(5024) s(5049) =< s(5044)*aux(178) s(5050) =< s(5044)*s(4895) s(5051) =< s(4955)*aux(178) s(5052) =< s(4955)*aux(174) s(5053) =< aux(176) s(5036) =< aux(176) s(5053) =< s(5028) s(5036) =< s(5028) s(5054) =< s(5053)*aux(178) s(5055) =< s(5036)*s(4895) s(5121) =< aux(181) s(5122) =< aux(181) s(5123) =< aux(182) s(5122) =< aux(182) s(5122) =< aux(183) s(5124) =< aux(181)*(1/3)+1/3 s(5125) =< aux(181)*(1/3) s(5126) =< aux(181)*(1/3)-1/3 s(5127) =< aux(181) s(5128) =< aux(181)*2+2 s(5129) =< aux(181)+1 s(5130) =< s(5121)*s(5124) s(5131) =< s(5121)*s(5125) s(5132) =< aux(181)*s(5125) s(5133) =< s(5122)*s(5126) s(5134) =< s(5121)*s(5127) s(5135) =< s(5121)*s(5128) s(5136) =< s(5123)*s(5129) s(5137) =< s(5123)*s(5127) s(5138) =< s(5134)*(1/3) s(5139) =< s(5134)*(1/2) s(5140) =< s(5135)*(2/3) s(5141) =< s(5135)*(1/3) s(5142) =< s(5135)*2 s(5143) =< s(5136)*(1/3) s(5144) =< s(5136)*(1/2) s(5145) =< s(5137)*(4/9) s(5146) =< s(5137)*(2/3) s(5147) =< s(5137)*(1/3) s(5148) =< s(5137)*(1/2) s(5149) =< s(5138) s(5150) =< s(5134) s(5151) =< s(5138) s(5152) =< s(5138) s(5153) =< s(5139) s(5151) =< s(5139) s(5153) =< s(5134) s(5151) =< s(5134) s(5154) =< aux(181)+1/3 s(5155) =< s(5153)*aux(181) s(5156) =< s(5151)*s(5154) s(5157) =< s(5125)+1/3 s(5158) =< s(5153)*s(5125) s(5159) =< s(5151)*s(5157) s(5160) =< s(5140) s(5161) =< s(5139) s(5162) =< s(5139) s(5161) =< s(5134) s(5162) =< s(5134) s(5161) =< s(5140) s(5162) =< s(5140) s(5162) =< s(5142) s(5163) =< s(5161)*aux(181) s(5164) =< s(5162)*s(5154) s(5160) =< s(5139) s(5160) =< s(5135) s(5165) =< s(5160)*s(5125) s(5166) =< s(5160)*s(5157) s(5167) =< s(5150)*s(5125) s(5168) =< s(5150)*aux(181) s(5169) =< s(5139) s(5152) =< s(5139) s(5169) =< s(5141) s(5152) =< s(5141) s(5170) =< s(5169)*s(5125) s(5171) =< s(5152)*s(5157) s(5172) =< s(5136) s(5173) =< s(5172)*s(5124) s(5174) =< s(5144) s(5175) =< s(5144) s(5174) =< s(5136) s(5175) =< s(5136) s(5175) =< s(5143) s(5176) =< s(5124)+1/3 s(5177) =< s(5174)*s(5124) s(5178) =< s(5175)*s(5176) s(5179) =< s(5147) s(5180) =< s(5148) s(5181) =< s(5148) s(5180) =< s(5137) s(5181) =< s(5137) s(5181) =< s(5147) s(5182) =< s(5180)*s(5125) s(5183) =< s(5181)*s(5157) s(5184) =< s(5148) s(5185) =< s(5148) s(5184) =< s(5146) s(5185) =< s(5146) s(5185) =< s(5147) s(5185) =< s(5145) s(5186) =< s(5184)*s(5125) s(5187) =< s(5185)*s(5157) s(5552) =< aux(176) s(5553) =< aux(176) s(5552) =< s(5404) s(5553) =< s(5404) s(5553) =< aux(178) s(5553) =< s(5405) s(5554) =< s(5552)*aux(178) s(5555) =< s(5553)*s(4895) s(6544) =< aux(185) s(6545) =< aux(185) s(6546) =< aux(186) s(6545) =< aux(186) s(6545) =< aux(187) s(6547) =< aux(185)*(1/3)+1/3 s(6548) =< aux(185)*(1/3) s(6549) =< aux(185)*(1/3)-1/3 s(6550) =< aux(185) s(6551) =< aux(185)*2+2 s(6552) =< aux(185)+1 s(6553) =< s(6544)*s(6547) s(6554) =< s(6544)*s(6548) s(6555) =< aux(185)*s(6548) s(6556) =< s(6545)*s(6549) s(6557) =< s(6544)*s(6550) s(6558) =< s(6544)*s(6551) s(6559) =< s(6546)*s(6552) s(6560) =< s(6546)*s(6550) s(6561) =< s(6557)*(1/3) s(6562) =< s(6557)*(1/2) s(6563) =< s(6558)*(2/3) s(6564) =< s(6558)*(1/3) s(6565) =< s(6558)*2 s(6566) =< s(6559)*(1/3) s(6567) =< s(6559)*(1/2) s(6568) =< s(6560)*(4/9) s(6569) =< s(6560)*(2/3) s(6570) =< s(6560)*(1/3) s(6571) =< s(6560)*(1/2) s(6572) =< s(6561) s(6573) =< s(6557) s(6574) =< s(6561) s(6575) =< s(6561) s(6576) =< s(6562) s(6574) =< s(6562) s(6576) =< s(6557) s(6574) =< s(6557) s(6577) =< aux(185)+1/3 s(6578) =< s(6576)*aux(185) s(6579) =< s(6574)*s(6577) s(6580) =< s(6548)+1/3 s(6581) =< s(6576)*s(6548) s(6582) =< s(6574)*s(6580) s(6583) =< s(6563) s(6584) =< s(6562) s(6585) =< s(6562) s(6584) =< s(6557) s(6585) =< s(6557) s(6584) =< s(6563) s(6585) =< s(6563) s(6585) =< s(6565) s(6586) =< s(6584)*aux(185) s(6587) =< s(6585)*s(6577) s(6583) =< s(6562) s(6583) =< s(6558) s(6588) =< s(6583)*s(6548) s(6589) =< s(6583)*s(6580) s(6590) =< s(6573)*s(6548) s(6591) =< s(6573)*aux(185) s(6592) =< s(6562) s(6575) =< s(6562) s(6592) =< s(6564) s(6575) =< s(6564) s(6593) =< s(6592)*s(6548) s(6594) =< s(6575)*s(6580) s(6595) =< s(6559) s(6596) =< s(6595)*s(6547) s(6597) =< s(6567) s(6598) =< s(6567) s(6597) =< s(6559) s(6598) =< s(6559) s(6598) =< s(6566) s(6599) =< s(6547)+1/3 s(6600) =< s(6597)*s(6547) s(6601) =< s(6598)*s(6599) s(6602) =< s(6570) s(6603) =< s(6571) s(6604) =< s(6571) s(6603) =< s(6560) s(6604) =< s(6560) s(6604) =< s(6570) s(6605) =< s(6603)*s(6548) s(6606) =< s(6604)*s(6580) s(6607) =< s(6571) s(6608) =< s(6571) s(6607) =< s(6569) s(6608) =< s(6569) s(6608) =< s(6570) s(6608) =< s(6568) s(6609) =< s(6607)*s(6548) s(6610) =< s(6608)*s(6580) s(6611) =< aux(183) s(4945) =< aux(176) s(4945) =< aux(177) s(4945) =< aux(180) s(4945) =< aux(179) s(4945) =< s(4933) s(4947) =< s(4945)*s(4895) with precondition: [] Closed-form bounds of start(V,V2,V11): ------------------------------------- * Chain [102] with precondition: [] - Upper bound: 5248/9*nat(V)+1+23012/9*nat(V)*nat(V)+6727/18*nat(V)*nat(V)*nat(V)+155/3*nat(V)*nat(V)*nat(V/2)+nat(V)*31*nat(-1/3+1/3*nat(V))+nat(V)*6*nat(V/3-V2/3)+5497/6*nat(V)*nat(V/2)+nat(V)*20*nat(V/3)+2840/9*nat(V2)+14800/9*nat(V2)*nat(V2)+2170/9*nat(V2)*nat(V2)*nat(V2)+100/3*nat(V2)*nat(V2)*nat(V2/2)+nat(V2)*20*nat(-1/3+1/3*nat(V2))+1750/3*nat(V2)*nat(V2/2)+1420/9*nat(V11)+7400/9*nat(V11)*nat(V11)+1085/9*nat(V11)*nat(V11)*nat(V11)+50/3*nat(V11)*nat(V11)*nat(V11/2)+nat(V11)*10*nat(-1/3+1/3*nat(V11))+875/3*nat(V11)*nat(V11/2)+38/3*nat(4/3*V+2/3)+nat(4/3*V+2/3)*4*nat(V/3)+19/3*nat(4/3*V-V2/3+2/3)+nat(4/3*V-V2/3+2/3)*2*nat(V/3)+nat(V-V2)*23+nat(V-V2)*4*nat(V-V2)+nat(V-V2)*4*nat(V/3-V2/3)+nat(V/3-2/3*V2)+178/3*nat(V/3-V2/3)+nat(V/3-V2/3)*11*nat(V/3)+nat(V2/3-V11/3)*2+4445/6*nat(V/2)+nat(V/2)*36*nat(V/3)+349/3*nat(V/3)+nat(V/3)*21*nat(V/3)+1030/3*nat(V2/2)+nat(V2/3)*6+515/3*nat(V11/2) - Complexity: n^3 ### Maximum cost of start(V,V2,V11): 5248/9*nat(V)+1+23012/9*nat(V)*nat(V)+6727/18*nat(V)*nat(V)*nat(V)+155/3*nat(V)*nat(V)*nat(V/2)+nat(V)*31*nat(-1/3+1/3*nat(V))+nat(V)*6*nat(V/3-V2/3)+5497/6*nat(V)*nat(V/2)+nat(V)*20*nat(V/3)+2840/9*nat(V2)+14800/9*nat(V2)*nat(V2)+2170/9*nat(V2)*nat(V2)*nat(V2)+100/3*nat(V2)*nat(V2)*nat(V2/2)+nat(V2)*20*nat(-1/3+1/3*nat(V2))+1750/3*nat(V2)*nat(V2/2)+1420/9*nat(V11)+7400/9*nat(V11)*nat(V11)+1085/9*nat(V11)*nat(V11)*nat(V11)+50/3*nat(V11)*nat(V11)*nat(V11/2)+nat(V11)*10*nat(-1/3+1/3*nat(V11))+875/3*nat(V11)*nat(V11/2)+38/3*nat(4/3*V+2/3)+nat(4/3*V+2/3)*4*nat(V/3)+19/3*nat(4/3*V-V2/3+2/3)+nat(4/3*V-V2/3+2/3)*2*nat(V/3)+nat(V-V2)*23+nat(V-V2)*4*nat(V-V2)+nat(V-V2)*4*nat(V/3-V2/3)+nat(V/3-2/3*V2)+178/3*nat(V/3-V2/3)+nat(V/3-V2/3)*11*nat(V/3)+nat(V2/3-V11/3)*2+4445/6*nat(V/2)+nat(V/2)*36*nat(V/3)+349/3*nat(V/3)+nat(V/3)*21*nat(V/3)+1030/3*nat(V2/2)+nat(V2/3)*6+515/3*nat(V11/2) Asymptotic class: n^3 * Total analysis performed in 51516 ms. ---------------------------------------- (18) BOUNDS(1, n^3)