WORST_CASE(Omega(n^1),O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.trs # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). (0) CpxRelTRS (1) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 454 ms] (2) CpxRelTRS (3) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (4) CpxWeightedTrs (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxTypedWeightedTrs (7) CompletionProof [UPPER BOUND(ID), 0 ms] (8) CpxTypedWeightedCompleteTrs (9) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 16 ms] (10) CpxRNTS (11) CompleteCoflocoProof [FINISHED, 35.1 s] (12) BOUNDS(1, n^1) (13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (14) TRS for Loop Detection (15) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (16) BEST (17) proven lower bound (18) LowerBoundPropagationProof [FINISHED, 0 ms] (19) BOUNDS(n^1, INF) (20) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) GR(0, z0) -> c6 GR(s(z0), 0) -> c7 GR(s(z0), s(z1)) -> c8(GR(z0, z1)) P(0) -> c9 P(s(z0)) -> c10 EQ(0, 0) -> c11 EQ(s(z0), 0) -> c12 EQ(0, s(z0)) -> c13 EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) AND(true, true) -> c15 AND(false, z0) -> c16 AND(z0, false) -> c17 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) gr(0, z0) -> false gr(s(z0), 0) -> true gr(s(z0), s(z1)) -> gr(z0, z1) p(0) -> 0 p(s(z0)) -> z0 eq(0, 0) -> true eq(s(z0), 0) -> false eq(0, s(z0)) -> false eq(s(z0), s(z1)) -> eq(z0, z1) and(true, true) -> true and(false, z0) -> false and(z0, false) -> false Rewrite Strategy: INNERMOST ---------------------------------------- (1) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) GR(0, z0) -> c6 GR(s(z0), 0) -> c7 GR(s(z0), s(z1)) -> c8(GR(z0, z1)) P(0) -> c9 P(s(z0)) -> c10 EQ(0, 0) -> c11 EQ(s(z0), 0) -> c12 EQ(0, s(z0)) -> c13 EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) AND(true, true) -> c15 AND(false, z0) -> c16 AND(z0, false) -> c17 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) gr(0, z0) -> false gr(s(z0), 0) -> true gr(s(z0), s(z1)) -> gr(z0, z1) p(0) -> 0 p(s(z0)) -> z0 eq(0, 0) -> true eq(s(z0), 0) -> false eq(0, s(z0)) -> false eq(s(z0), s(z1)) -> eq(z0, z1) and(true, true) -> true and(false, z0) -> false and(z0, false) -> false Rewrite Strategy: INNERMOST ---------------------------------------- (3) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) [1] COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) [1] COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) [1] COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) [1] COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) [1] COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) [1] GR(0, z0) -> c6 [1] GR(s(z0), 0) -> c7 [1] GR(s(z0), s(z1)) -> c8(GR(z0, z1)) [1] P(0) -> c9 [1] P(s(z0)) -> c10 [1] EQ(0, 0) -> c11 [1] EQ(s(z0), 0) -> c12 [1] EQ(0, s(z0)) -> c13 [1] EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) [1] AND(true, true) -> c15 [1] AND(false, z0) -> c16 [1] AND(z0, false) -> c17 [1] cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) [0] cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) [0] cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) [0] gr(0, z0) -> false [0] gr(s(z0), 0) -> true [0] gr(s(z0), s(z1)) -> gr(z0, z1) [0] p(0) -> 0 [0] p(s(z0)) -> z0 [0] eq(0, 0) -> true [0] eq(s(z0), 0) -> false [0] eq(0, s(z0)) -> false [0] eq(s(z0), s(z1)) -> eq(z0, z1) [0] and(true, true) -> true [0] and(false, z0) -> false [0] and(z0, false) -> false [0] Rewrite Strategy: INNERMOST ---------------------------------------- (5) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (6) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) [1] COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) [1] COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) [1] COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) [1] COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) [1] COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) [1] GR(0, z0) -> c6 [1] GR(s(z0), 0) -> c7 [1] GR(s(z0), s(z1)) -> c8(GR(z0, z1)) [1] P(0) -> c9 [1] P(s(z0)) -> c10 [1] EQ(0, 0) -> c11 [1] EQ(s(z0), 0) -> c12 [1] EQ(0, s(z0)) -> c13 [1] EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) [1] AND(true, true) -> c15 [1] AND(false, z0) -> c16 [1] AND(z0, false) -> c17 [1] cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) [0] cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) [0] cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) [0] gr(0, z0) -> false [0] gr(s(z0), 0) -> true [0] gr(s(z0), s(z1)) -> gr(z0, z1) [0] p(0) -> 0 [0] p(s(z0)) -> z0 [0] eq(0, 0) -> true [0] eq(s(z0), 0) -> false [0] eq(0, s(z0)) -> false [0] eq(s(z0), s(z1)) -> eq(z0, z1) [0] and(true, true) -> true [0] and(false, z0) -> false [0] and(z0, false) -> false [0] The TRS has the following type information: COND1 :: true:false -> 0:s -> 0:s -> c true :: true:false c :: c1:c2:c3:c4:c5 -> c6:c7:c8 -> c COND2 :: true:false -> 0:s -> 0:s -> c1:c2:c3:c4:c5 gr :: 0:s -> 0:s -> true:false 0 :: 0:s GR :: 0:s -> 0:s -> c6:c7:c8 c1 :: c1:c2:c3:c4:c5 -> c6:c7:c8 -> c1:c2:c3:c4:c5 p :: 0:s -> 0:s c2 :: c1:c2:c3:c4:c5 -> c9:c10 -> c1:c2:c3:c4:c5 P :: 0:s -> c9:c10 c3 :: c1:c2:c3:c4:c5 -> c9:c10 -> c1:c2:c3:c4:c5 false :: true:false c4 :: c -> c15:c16:c17 -> c11:c12:c13:c14 -> c1:c2:c3:c4:c5 and :: true:false -> true:false -> true:false eq :: 0:s -> 0:s -> true:false AND :: true:false -> true:false -> c15:c16:c17 EQ :: 0:s -> 0:s -> c11:c12:c13:c14 c5 :: c -> c15:c16:c17 -> c6:c7:c8 -> c1:c2:c3:c4:c5 c6 :: c6:c7:c8 s :: 0:s -> 0:s c7 :: c6:c7:c8 c8 :: c6:c7:c8 -> c6:c7:c8 c9 :: c9:c10 c10 :: c9:c10 c11 :: c11:c12:c13:c14 c12 :: c11:c12:c13:c14 c13 :: c11:c12:c13:c14 c14 :: c11:c12:c13:c14 -> c11:c12:c13:c14 c15 :: c15:c16:c17 c16 :: c15:c16:c17 c17 :: c15:c16:c17 cond1 :: true:false -> 0:s -> 0:s -> cond1:cond2 cond2 :: true:false -> 0:s -> 0:s -> cond1:cond2 Rewrite Strategy: INNERMOST ---------------------------------------- (7) 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: cond1(v0, v1, v2) -> null_cond1 [0] cond2(v0, v1, v2) -> null_cond2 [0] gr(v0, v1) -> null_gr [0] p(v0) -> null_p [0] eq(v0, v1) -> null_eq [0] and(v0, v1) -> null_and [0] COND1(v0, v1, v2) -> null_COND1 [0] COND2(v0, v1, v2) -> null_COND2 [0] GR(v0, v1) -> null_GR [0] P(v0) -> null_P [0] EQ(v0, v1) -> null_EQ [0] AND(v0, v1) -> null_AND [0] And the following fresh constants: null_cond1, null_cond2, null_gr, null_p, null_eq, null_and, null_COND1, null_COND2, null_GR, null_P, null_EQ, null_AND ---------------------------------------- (8) 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: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) [1] COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) [1] COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) [1] COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) [1] COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) [1] COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) [1] GR(0, z0) -> c6 [1] GR(s(z0), 0) -> c7 [1] GR(s(z0), s(z1)) -> c8(GR(z0, z1)) [1] P(0) -> c9 [1] P(s(z0)) -> c10 [1] EQ(0, 0) -> c11 [1] EQ(s(z0), 0) -> c12 [1] EQ(0, s(z0)) -> c13 [1] EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) [1] AND(true, true) -> c15 [1] AND(false, z0) -> c16 [1] AND(z0, false) -> c17 [1] cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) [0] cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) [0] cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) [0] gr(0, z0) -> false [0] gr(s(z0), 0) -> true [0] gr(s(z0), s(z1)) -> gr(z0, z1) [0] p(0) -> 0 [0] p(s(z0)) -> z0 [0] eq(0, 0) -> true [0] eq(s(z0), 0) -> false [0] eq(0, s(z0)) -> false [0] eq(s(z0), s(z1)) -> eq(z0, z1) [0] and(true, true) -> true [0] and(false, z0) -> false [0] and(z0, false) -> false [0] cond1(v0, v1, v2) -> null_cond1 [0] cond2(v0, v1, v2) -> null_cond2 [0] gr(v0, v1) -> null_gr [0] p(v0) -> null_p [0] eq(v0, v1) -> null_eq [0] and(v0, v1) -> null_and [0] COND1(v0, v1, v2) -> null_COND1 [0] COND2(v0, v1, v2) -> null_COND2 [0] GR(v0, v1) -> null_GR [0] P(v0) -> null_P [0] EQ(v0, v1) -> null_EQ [0] AND(v0, v1) -> null_AND [0] The TRS has the following type information: COND1 :: true:false:null_gr:null_eq:null_and -> 0:s:null_p -> 0:s:null_p -> c:null_COND1 true :: true:false:null_gr:null_eq:null_and c :: c1:c2:c3:c4:c5:null_COND2 -> c6:c7:c8:null_GR -> c:null_COND1 COND2 :: true:false:null_gr:null_eq:null_and -> 0:s:null_p -> 0:s:null_p -> c1:c2:c3:c4:c5:null_COND2 gr :: 0:s:null_p -> 0:s:null_p -> true:false:null_gr:null_eq:null_and 0 :: 0:s:null_p GR :: 0:s:null_p -> 0:s:null_p -> c6:c7:c8:null_GR c1 :: c1:c2:c3:c4:c5:null_COND2 -> c6:c7:c8:null_GR -> c1:c2:c3:c4:c5:null_COND2 p :: 0:s:null_p -> 0:s:null_p c2 :: c1:c2:c3:c4:c5:null_COND2 -> c9:c10:null_P -> c1:c2:c3:c4:c5:null_COND2 P :: 0:s:null_p -> c9:c10:null_P c3 :: c1:c2:c3:c4:c5:null_COND2 -> c9:c10:null_P -> c1:c2:c3:c4:c5:null_COND2 false :: true:false:null_gr:null_eq:null_and c4 :: c:null_COND1 -> c15:c16:c17:null_AND -> c11:c12:c13:c14:null_EQ -> c1:c2:c3:c4:c5:null_COND2 and :: true:false:null_gr:null_eq:null_and -> true:false:null_gr:null_eq:null_and -> true:false:null_gr:null_eq:null_and eq :: 0:s:null_p -> 0:s:null_p -> true:false:null_gr:null_eq:null_and AND :: true:false:null_gr:null_eq:null_and -> true:false:null_gr:null_eq:null_and -> c15:c16:c17:null_AND EQ :: 0:s:null_p -> 0:s:null_p -> c11:c12:c13:c14:null_EQ c5 :: c:null_COND1 -> c15:c16:c17:null_AND -> c6:c7:c8:null_GR -> c1:c2:c3:c4:c5:null_COND2 c6 :: c6:c7:c8:null_GR s :: 0:s:null_p -> 0:s:null_p c7 :: c6:c7:c8:null_GR c8 :: c6:c7:c8:null_GR -> c6:c7:c8:null_GR c9 :: c9:c10:null_P c10 :: c9:c10:null_P c11 :: c11:c12:c13:c14:null_EQ c12 :: c11:c12:c13:c14:null_EQ c13 :: c11:c12:c13:c14:null_EQ c14 :: c11:c12:c13:c14:null_EQ -> c11:c12:c13:c14:null_EQ c15 :: c15:c16:c17:null_AND c16 :: c15:c16:c17:null_AND c17 :: c15:c16:c17:null_AND cond1 :: true:false:null_gr:null_eq:null_and -> 0:s:null_p -> 0:s:null_p -> null_cond1:null_cond2 cond2 :: true:false:null_gr:null_eq:null_and -> 0:s:null_p -> 0:s:null_p -> null_cond1:null_cond2 null_cond1 :: null_cond1:null_cond2 null_cond2 :: null_cond1:null_cond2 null_gr :: true:false:null_gr:null_eq:null_and null_p :: 0:s:null_p null_eq :: true:false:null_gr:null_eq:null_and null_and :: true:false:null_gr:null_eq:null_and null_COND1 :: c:null_COND1 null_COND2 :: c1:c2:c3:c4:c5:null_COND2 null_GR :: c6:c7:c8:null_GR null_P :: c9:c10:null_P null_EQ :: c11:c12:c13:c14:null_EQ null_AND :: c15:c16:c17:null_AND Rewrite Strategy: INNERMOST ---------------------------------------- (9) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: true => 2 0 => 0 false => 1 c6 => 0 c7 => 1 c9 => 2 c10 => 1 c11 => 0 c12 => 1 c13 => 2 c15 => 1 c16 => 2 c17 => 3 null_cond1 => 0 null_cond2 => 0 null_gr => 0 null_p => 0 null_eq => 0 null_and => 0 null_COND1 => 0 null_COND2 => 0 null_GR => 0 null_P => 0 null_EQ => 0 null_AND => 0 ---------------------------------------- (10) Obligation: Complexity RNTS consisting of the following rules: AND(z, z') -{ 1 }-> 3 :|: z = z0, z0 >= 0, z' = 1 AND(z, z') -{ 1 }-> 2 :|: z = 1, z0 >= 0, z' = z0 AND(z, z') -{ 1 }-> 1 :|: z = 2, z' = 2 AND(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 COND1(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 COND1(z, z', z'') -{ 1 }-> 1 + COND2(gr(z1, 0), z0, z1) + GR(z1, 0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 COND2(z, z', z'') -{ 1 }-> 1 + COND2(gr(z1, 0), p(z0), p(z1)) + P(z0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND2(gr(z1, 0), p(z0), p(z1)) + P(z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND2(gr(z1, 0), p(z0), p(z1)) + GR(z1, 0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1) + AND(eq(z0, z1), gr(z0, 0)) + GR(z0, 0) :|: z1 >= 0, z = 1, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1) + AND(eq(z0, z1), gr(z0, 0)) + EQ(z0, z1) :|: z1 >= 0, z = 1, z0 >= 0, z' = z0, z'' = z1 EQ(z, z') -{ 1 }-> 2 :|: z0 >= 0, z' = 1 + z0, z = 0 EQ(z, z') -{ 1 }-> 1 :|: z = 1 + z0, z0 >= 0, z' = 0 EQ(z, z') -{ 1 }-> 0 :|: z = 0, z' = 0 EQ(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 EQ(z, z') -{ 1 }-> 1 + EQ(z0, z1) :|: z1 >= 0, z = 1 + z0, z0 >= 0, z' = 1 + z1 GR(z, z') -{ 1 }-> 1 :|: z = 1 + z0, z0 >= 0, z' = 0 GR(z, z') -{ 1 }-> 0 :|: z0 >= 0, z = 0, z' = z0 GR(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 GR(z, z') -{ 1 }-> 1 + GR(z0, z1) :|: z1 >= 0, z = 1 + z0, z0 >= 0, z' = 1 + z1 P(z) -{ 1 }-> 2 :|: z = 0 P(z) -{ 1 }-> 1 :|: z = 1 + z0, z0 >= 0 P(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 and(z, z') -{ 0 }-> 2 :|: z = 2, z' = 2 and(z, z') -{ 0 }-> 1 :|: z = 1, z0 >= 0, z' = z0 and(z, z') -{ 0 }-> 1 :|: z = z0, z0 >= 0, z' = 1 and(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 cond1(z, z', z'') -{ 0 }-> cond2(gr(z1, 0), z0, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 cond1(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 cond2(z, z', z'') -{ 0 }-> cond2(gr(z1, 0), p(z0), p(z1)) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 cond2(z, z', z'') -{ 0 }-> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) :|: z1 >= 0, z = 1, z0 >= 0, z' = z0, z'' = z1 cond2(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 eq(z, z') -{ 0 }-> eq(z0, z1) :|: z1 >= 0, z = 1 + z0, z0 >= 0, z' = 1 + z1 eq(z, z') -{ 0 }-> 2 :|: z = 0, z' = 0 eq(z, z') -{ 0 }-> 1 :|: z = 1 + z0, z0 >= 0, z' = 0 eq(z, z') -{ 0 }-> 1 :|: z0 >= 0, z' = 1 + z0, z = 0 eq(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 gr(z, z') -{ 0 }-> gr(z0, z1) :|: z1 >= 0, z = 1 + z0, z0 >= 0, z' = 1 + z1 gr(z, z') -{ 0 }-> 2 :|: z = 1 + z0, z0 >= 0, z' = 0 gr(z, z') -{ 0 }-> 1 :|: z0 >= 0, z = 0, z' = z0 gr(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 p(z) -{ 0 }-> z0 :|: z = 1 + z0, z0 >= 0 p(z) -{ 0 }-> 0 :|: z = 0 p(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (11) CompleteCoflocoProof (FINISHED) Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo: eq(start(V1, V, V2),0,[fun(V1, V, V2, Out)],[V1 >= 0,V >= 0,V2 >= 0]). eq(start(V1, V, V2),0,[fun1(V1, V, V2, Out)],[V1 >= 0,V >= 0,V2 >= 0]). eq(start(V1, V, V2),0,[fun2(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V2),0,[fun3(V1, Out)],[V1 >= 0]). eq(start(V1, V, V2),0,[fun5(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V2),0,[fun4(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V2),0,[cond1(V1, V, V2, Out)],[V1 >= 0,V >= 0,V2 >= 0]). eq(start(V1, V, V2),0,[cond2(V1, V, V2, Out)],[V1 >= 0,V >= 0,V2 >= 0]). eq(start(V1, V, V2),0,[gr(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V2),0,[p(V1, Out)],[V1 >= 0]). eq(start(V1, V, V2),0,[eq(V1, V, Out)],[V1 >= 0,V >= 0]). eq(start(V1, V, V2),0,[and(V1, V, Out)],[V1 >= 0,V >= 0]). eq(fun(V1, V, V2, Out),1,[gr(V3, 0, Ret010),fun1(Ret010, V4, V3, Ret01),fun2(V3, 0, Ret1)],[Out = 1 + Ret01 + Ret1,V1 = 2,V3 >= 0,V4 >= 0,V = V4,V2 = V3]). eq(fun1(V1, V, V2, Out),1,[gr(V5, 0, Ret0101),p(V6, Ret011),p(V5, Ret012),fun1(Ret0101, Ret011, Ret012, Ret013),fun2(V5, 0, Ret11)],[Out = 1 + Ret013 + Ret11,V1 = 2,V5 >= 0,V6 >= 0,V = V6,V2 = V5]). eq(fun1(V1, V, V2, Out),1,[gr(V7, 0, Ret0102),p(V8, Ret0111),p(V7, Ret0121),fun1(Ret0102, Ret0111, Ret0121, Ret014),fun3(V8, Ret12)],[Out = 1 + Ret014 + Ret12,V1 = 2,V7 >= 0,V8 >= 0,V = V8,V2 = V7]). eq(fun1(V1, V, V2, Out),1,[gr(V10, 0, Ret0103),p(V9, Ret0112),p(V10, Ret0122),fun1(Ret0103, Ret0112, Ret0122, Ret015),fun3(V10, Ret13)],[Out = 1 + Ret015 + Ret13,V1 = 2,V10 >= 0,V9 >= 0,V = V9,V2 = V10]). eq(fun1(V1, V, V2, Out),1,[eq(V12, V11, Ret00100),gr(V12, 0, Ret00101),and(Ret00100, Ret00101, Ret0010),fun(Ret0010, V12, V11, Ret001),eq(V12, V11, Ret0104),gr(V12, 0, Ret0113),fun4(Ret0104, Ret0113, Ret016),fun5(V12, V11, Ret14)],[Out = 1 + Ret001 + Ret016 + Ret14,V11 >= 0,V1 = 1,V12 >= 0,V = V12,V2 = V11]). eq(fun1(V1, V, V2, Out),1,[eq(V14, V13, Ret001001),gr(V14, 0, Ret001011),and(Ret001001, Ret001011, Ret00102),fun(Ret00102, V14, V13, Ret0011),eq(V14, V13, Ret0105),gr(V14, 0, Ret0114),fun4(Ret0105, Ret0114, Ret017),fun2(V14, 0, Ret15)],[Out = 1 + Ret0011 + Ret017 + Ret15,V13 >= 0,V1 = 1,V14 >= 0,V = V14,V2 = V13]). eq(fun2(V1, V, Out),1,[],[Out = 0,V15 >= 0,V1 = 0,V = V15]). eq(fun2(V1, V, Out),1,[],[Out = 1,V1 = 1 + V16,V16 >= 0,V = 0]). eq(fun2(V1, V, Out),1,[fun2(V18, V17, Ret16)],[Out = 1 + Ret16,V17 >= 0,V1 = 1 + V18,V18 >= 0,V = 1 + V17]). eq(fun3(V1, Out),1,[],[Out = 2,V1 = 0]). eq(fun3(V1, Out),1,[],[Out = 1,V1 = 1 + V19,V19 >= 0]). eq(fun5(V1, V, Out),1,[],[Out = 0,V1 = 0,V = 0]). eq(fun5(V1, V, Out),1,[],[Out = 1,V1 = 1 + V20,V20 >= 0,V = 0]). eq(fun5(V1, V, Out),1,[],[Out = 2,V21 >= 0,V = 1 + V21,V1 = 0]). eq(fun5(V1, V, Out),1,[fun5(V23, V22, Ret17)],[Out = 1 + Ret17,V22 >= 0,V1 = 1 + V23,V23 >= 0,V = 1 + V22]). eq(fun4(V1, V, Out),1,[],[Out = 1,V1 = 2,V = 2]). eq(fun4(V1, V, Out),1,[],[Out = 2,V1 = 1,V24 >= 0,V = V24]). eq(fun4(V1, V, Out),1,[],[Out = 3,V1 = V25,V25 >= 0,V = 1]). eq(cond1(V1, V, V2, Out),0,[gr(V27, 0, Ret0),cond2(Ret0, V26, V27, Ret)],[Out = Ret,V1 = 2,V27 >= 0,V26 >= 0,V = V26,V2 = V27]). eq(cond2(V1, V, V2, Out),0,[gr(V28, 0, Ret02),p(V29, Ret18),p(V28, Ret2),cond2(Ret02, Ret18, Ret2, Ret3)],[Out = Ret3,V1 = 2,V28 >= 0,V29 >= 0,V = V29,V2 = V28]). eq(cond2(V1, V, V2, Out),0,[eq(V31, V30, Ret00),gr(V31, 0, Ret018),and(Ret00, Ret018, Ret03),cond1(Ret03, V31, V30, Ret4)],[Out = Ret4,V30 >= 0,V1 = 1,V31 >= 0,V = V31,V2 = V30]). eq(gr(V1, V, Out),0,[],[Out = 1,V32 >= 0,V1 = 0,V = V32]). eq(gr(V1, V, Out),0,[],[Out = 2,V1 = 1 + V33,V33 >= 0,V = 0]). eq(gr(V1, V, Out),0,[gr(V34, V35, Ret5)],[Out = Ret5,V35 >= 0,V1 = 1 + V34,V34 >= 0,V = 1 + V35]). eq(p(V1, Out),0,[],[Out = 0,V1 = 0]). eq(p(V1, Out),0,[],[Out = V36,V1 = 1 + V36,V36 >= 0]). eq(eq(V1, V, Out),0,[],[Out = 2,V1 = 0,V = 0]). eq(eq(V1, V, Out),0,[],[Out = 1,V1 = 1 + V37,V37 >= 0,V = 0]). eq(eq(V1, V, Out),0,[],[Out = 1,V38 >= 0,V = 1 + V38,V1 = 0]). eq(eq(V1, V, Out),0,[eq(V39, V40, Ret6)],[Out = Ret6,V40 >= 0,V1 = 1 + V39,V39 >= 0,V = 1 + V40]). eq(and(V1, V, Out),0,[],[Out = 2,V1 = 2,V = 2]). eq(and(V1, V, Out),0,[],[Out = 1,V1 = 1,V41 >= 0,V = V41]). eq(and(V1, V, Out),0,[],[Out = 1,V1 = V42,V42 >= 0,V = 1]). eq(cond1(V1, V, V2, Out),0,[],[Out = 0,V44 >= 0,V2 = V45,V43 >= 0,V1 = V44,V = V43,V45 >= 0]). eq(cond2(V1, V, V2, Out),0,[],[Out = 0,V48 >= 0,V2 = V46,V47 >= 0,V1 = V48,V = V47,V46 >= 0]). eq(gr(V1, V, Out),0,[],[Out = 0,V50 >= 0,V49 >= 0,V1 = V50,V = V49]). eq(p(V1, Out),0,[],[Out = 0,V51 >= 0,V1 = V51]). eq(eq(V1, V, Out),0,[],[Out = 0,V52 >= 0,V53 >= 0,V1 = V52,V = V53]). eq(and(V1, V, Out),0,[],[Out = 0,V55 >= 0,V54 >= 0,V1 = V55,V = V54]). eq(fun(V1, V, V2, Out),0,[],[Out = 0,V57 >= 0,V2 = V58,V56 >= 0,V1 = V57,V = V56,V58 >= 0]). eq(fun1(V1, V, V2, Out),0,[],[Out = 0,V59 >= 0,V2 = V61,V60 >= 0,V1 = V59,V = V60,V61 >= 0]). eq(fun2(V1, V, Out),0,[],[Out = 0,V62 >= 0,V63 >= 0,V1 = V62,V = V63]). eq(fun3(V1, Out),0,[],[Out = 0,V64 >= 0,V1 = V64]). eq(fun5(V1, V, Out),0,[],[Out = 0,V66 >= 0,V65 >= 0,V1 = V66,V = V65]). eq(fun4(V1, V, Out),0,[],[Out = 0,V68 >= 0,V67 >= 0,V1 = V68,V = V67]). input_output_vars(fun(V1,V,V2,Out),[V1,V,V2],[Out]). input_output_vars(fun1(V1,V,V2,Out),[V1,V,V2],[Out]). input_output_vars(fun2(V1,V,Out),[V1,V],[Out]). input_output_vars(fun3(V1,Out),[V1],[Out]). input_output_vars(fun5(V1,V,Out),[V1,V],[Out]). input_output_vars(fun4(V1,V,Out),[V1,V],[Out]). input_output_vars(cond1(V1,V,V2,Out),[V1,V,V2],[Out]). input_output_vars(cond2(V1,V,V2,Out),[V1,V,V2],[Out]). input_output_vars(gr(V1,V,Out),[V1,V],[Out]). input_output_vars(p(V1,Out),[V1],[Out]). input_output_vars(eq(V1,V,Out),[V1,V],[Out]). input_output_vars(and(V1,V,Out),[V1,V],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. non_recursive : [and/3] 1. recursive : [eq/3] 2. recursive : [gr/3] 3. non_recursive : [p/2] 4. recursive : [cond1/4,cond2/4] 5. recursive : [fun2/3] 6. non_recursive : [fun3/2] 7. non_recursive : [fun4/3] 8. recursive : [fun5/3] 9. recursive [non_tail] : [fun/4,fun1/4] 10. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into and/3 1. SCC is partially evaluated into eq/3 2. SCC is partially evaluated into gr/3 3. SCC is partially evaluated into p/2 4. SCC is partially evaluated into cond2/4 5. SCC is partially evaluated into fun2/3 6. SCC is partially evaluated into fun3/2 7. SCC is partially evaluated into fun4/3 8. SCC is partially evaluated into fun5/3 9. SCC is partially evaluated into fun1/4 10. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations and/3 * CE 56 is refined into CE [57] * CE 55 is refined into CE [58] * CE 53 is refined into CE [59] * CE 54 is refined into CE [60] ### Cost equations --> "Loop" of and/3 * CEs [57] --> Loop 38 * CEs [58] --> Loop 39 * CEs [59] --> Loop 40 * CEs [60] --> Loop 41 ### Ranking functions of CR and(V1,V,Out) #### Partial ranking functions of CR and(V1,V,Out) ### Specialization of cost equations eq/3 * CE 52 is refined into CE [61] * CE 49 is refined into CE [62] * CE 50 is refined into CE [63] * CE 48 is refined into CE [64] * CE 51 is refined into CE [65] ### Cost equations --> "Loop" of eq/3 * CEs [65] --> Loop 42 * CEs [61] --> Loop 43 * CEs [62] --> Loop 44 * CEs [63] --> Loop 45 * CEs [64] --> Loop 46 ### Ranking functions of CR eq(V1,V,Out) * RF of phase [42]: [V,V1] #### Partial ranking functions of CR eq(V1,V,Out) * Partial RF of phase [42]: - RF of loop [42:1]: V V1 ### Specialization of cost equations gr/3 * CE 17 is refined into CE [66] * CE 15 is refined into CE [67] * CE 14 is refined into CE [68] * CE 16 is refined into CE [69] ### Cost equations --> "Loop" of gr/3 * CEs [69] --> Loop 47 * CEs [66] --> Loop 48 * CEs [67] --> Loop 49 * CEs [68] --> Loop 50 ### Ranking functions of CR gr(V1,V,Out) * RF of phase [47]: [V,V1] #### Partial ranking functions of CR gr(V1,V,Out) * Partial RF of phase [47]: - RF of loop [47:1]: V V1 ### Specialization of cost equations p/2 * CE 47 is refined into CE [70] * CE 46 is refined into CE [71] ### Cost equations --> "Loop" of p/2 * CEs [70] --> Loop 51 * CEs [71] --> Loop 52 ### Ranking functions of CR p(V1,Out) #### Partial ranking functions of CR p(V1,Out) ### Specialization of cost equations cond2/4 * CE 30 is refined into CE [72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98] * CE 33 is refined into CE [99] * CE 32 is refined into CE [100,101,102,103,104,105,106,107,108,109] * CE 31 is refined into CE [110,111] ### Cost equations --> "Loop" of cond2/4 * CEs [105] --> Loop 53 * CEs [104] --> Loop 54 * CEs [103] --> Loop 55 * CEs [102] --> Loop 56 * CEs [109] --> Loop 57 * CEs [108] --> Loop 58 * CEs [107] --> Loop 59 * CEs [106] --> Loop 60 * CEs [101] --> Loop 61 * CEs [100] --> Loop 62 * CEs [110] --> Loop 63 * CEs [111] --> Loop 64 * CEs [96,97,98] --> Loop 65 * CEs [80,81,82,83] --> Loop 66 * CEs [72,73,74,75,76,77,78,79,84,85,86,87,88,89,90,91,92,93,94,95,99] --> Loop 67 ### Ranking functions of CR cond2(V1,V,V2,Out) * RF of phase [53]: [V,V2] * RF of phase [55]: [V2] #### Partial ranking functions of CR cond2(V1,V,V2,Out) * Partial RF of phase [53]: - RF of loop [53:1]: V V2 * Partial RF of phase [55]: - RF of loop [55:1]: V2 ### Specialization of cost equations fun2/3 * CE 27 is refined into CE [112] * CE 26 is refined into CE [113] * CE 29 is refined into CE [114] * CE 28 is refined into CE [115] ### Cost equations --> "Loop" of fun2/3 * CEs [115] --> Loop 68 * CEs [112] --> Loop 69 * CEs [113,114] --> Loop 70 ### Ranking functions of CR fun2(V1,V,Out) * RF of phase [68]: [V,V1] #### Partial ranking functions of CR fun2(V1,V,Out) * Partial RF of phase [68]: - RF of loop [68:1]: V V1 ### Specialization of cost equations fun3/2 * CE 35 is refined into CE [116] * CE 36 is refined into CE [117] * CE 34 is refined into CE [118] ### Cost equations --> "Loop" of fun3/2 * CEs [116] --> Loop 71 * CEs [117] --> Loop 72 * CEs [118] --> Loop 73 ### Ranking functions of CR fun3(V1,Out) #### Partial ranking functions of CR fun3(V1,Out) ### Specialization of cost equations fun4/3 * CE 45 is refined into CE [119] * CE 44 is refined into CE [120] * CE 42 is refined into CE [121] * CE 43 is refined into CE [122] ### Cost equations --> "Loop" of fun4/3 * CEs [119] --> Loop 74 * CEs [120] --> Loop 75 * CEs [121] --> Loop 76 * CEs [122] --> Loop 77 ### Ranking functions of CR fun4(V1,V,Out) #### Partial ranking functions of CR fun4(V1,V,Out) ### Specialization of cost equations fun5/3 * CE 38 is refined into CE [123] * CE 39 is refined into CE [124] * CE 37 is refined into CE [125] * CE 41 is refined into CE [126] * CE 40 is refined into CE [127] ### Cost equations --> "Loop" of fun5/3 * CEs [127] --> Loop 78 * CEs [123] --> Loop 79 * CEs [124] --> Loop 80 * CEs [125,126] --> Loop 81 ### Ranking functions of CR fun5(V1,V,Out) * RF of phase [78]: [V,V1] #### Partial ranking functions of CR fun5(V1,V,Out) * Partial RF of phase [78]: - RF of loop [78:1]: V V1 ### Specialization of cost equations fun1/4 * CE 25 is refined into CE [128] * CE 18 is refined into CE [129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460] * CE 19 is refined into CE [461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932] * CE 22 is refined into CE [933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950] * CE 23 is refined into CE [951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975] * CE 24 is refined into CE [976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997] * CE 20 is refined into CE [998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037] * CE 21 is refined into CE [1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077] ### Cost equations --> "Loop" of fun1/4 * CEs [941,965,987] --> Loop 82 * CEs [942,964,986] --> Loop 83 * CEs [939,963,985] --> Loop 84 * CEs [940,962,984] --> Loop 85 * CEs [937,961,983] --> Loop 86 * CEs [938,960,982] --> Loop 87 * CEs [935,958,981] --> Loop 88 * CEs [936,957,980] --> Loop 89 * CEs [949,975,997] --> Loop 90 * CEs [950,974,996] --> Loop 91 * CEs [947,973,995] --> Loop 92 * CEs [948,972,994] --> Loop 93 * CEs [945,971,992] --> Loop 94 * CEs [946,970,991] --> Loop 95 * CEs [968] --> Loop 96 * CEs [943,990] --> Loop 97 * CEs [944,967,989] --> Loop 98 * CEs [978] --> Loop 99 * CEs [955] --> Loop 100 * CEs [934,954,979] --> Loop 101 * CEs [953] --> Loop 102 * CEs [933,952,977] --> Loop 103 * CEs [993] --> Loop 104 * CEs [988] --> Loop 105 * CEs [959] --> Loop 106 * CEs [956] --> Loop 107 * CEs [969] --> Loop 108 * CEs [966] --> Loop 109 * CEs [951,976] --> Loop 110 * CEs [1002,1043] --> Loop 111 * CEs [998,1000,1003,1004,1006,1012,1039,1041,1042,1045,1047,1053] --> Loop 112 * CEs [999,1001,1005,1007,1008,1010,1013,1014,1016,1038,1040,1044,1046,1049,1051,1052,1055,1057] --> Loop 113 * CEs [1009,1011,1015,1017,1048,1050,1054,1056] --> Loop 114 * CEs [1022,1063] --> Loop 115 * CEs [1018,1020,1023,1024,1026,1032,1059,1061,1062,1065,1067,1073] --> Loop 116 * CEs [1019,1021,1025,1027,1028,1030,1033,1034,1036,1058,1060,1064,1066,1069,1071,1072,1075,1077] --> Loop 117 * CEs [1029,1031,1035,1037,1068,1070,1074,1076] --> Loop 118 * CEs [128] --> Loop 119 * CEs [680,686,746,752,833,836,842,848,851,854,860,866,869,872,878,884,887,890,896,902] --> Loop 120 * CEs [668,674,734,740,761,764,770,776,779,782,788,794,797,800,806,812,815,818,824,830] --> Loop 121 * CEs [655,660,667,673,720,726,733,739,760,763,769,775,778,781,787,793,796,799,805,811,814,817,823,829] --> Loop 122 * CEs [664,670,730,736,766,772,784,790,802,808,820,826] --> Loop 123 * CEs [676,682,742,748,838,844,856,862,874,880,892,898] --> Loop 124 * CEs [656,661,679,685,721,727,745,751,832,835,841,847,850,853,859,865,868,871,877,883,886,889,895,901] --> Loop 125 * CEs [277,281,321,325,387,391,399,403,411,415,423,427,677,683,743,749,839,845,857,863,875,881,893,899] --> Loop 126 * CEs [269,273,313,317,339,343,351,355,363,367,375,379,665,671,731,737,767,773,785,791,803,809,821,827] --> Loop 127 * CEs [278,282,322,326,388,392,400,404,412,416,424,428,675,681,741,747,837,843,855,861,873,879,891,897] --> Loop 128 * CEs [270,274,314,318,340,344,352,356,364,368,376,380,663,669,729,735,765,771,783,789,801,807,819,825] --> Loop 129 * CEs [285,329,435,445,455,688,754,908,918,928] --> Loop 130 * CEs [286,287,289,330,331,333,431,433,436,437,439,441,443,446,447,449,451,453,456,457,459,657,662,687,690,692,722,728,753,756,758,904,906,907,910,912,914,916,917,920,922,924,926,927,930,932] --> Loop 131 * CEs [288,290,332,334,432,434,438,440,442,444,448,450,452,454,458,460,689,691,755,757,903,905,909,911,913,915,919,921,923,925,929,931] --> Loop 132 * CEs [187,191,199,203,211,215,223,227,257,261,299,303,559,563,571,575,583,587,595,599,645,649,706,710] --> Loop 133 * CEs [188,192,200,204,212,216,224,228,258,262,300,304,560,564,572,576,584,588,596,600,646,650,707,711] --> Loop 134 * CEs [189,193,195,197,201,205,207,209,213,217,219,221,225,229,231,233,259,263,265,267,271,275,279,283,301,305,309,311,315,319,323,327,335,337,341,345,347,349,353,357,359,361,365,369,371,373,377,381,383,385,389,393,395,397,401,405,407,409,413,417,419,421,425,429,561,565,567,569,573,577,579,581,585,589,591,593,597,601,603,605,647,651,653,658,708,712,718,724] --> Loop 135 * CEs [190,194,196,198,202,206,208,210,214,218,220,222,226,230,232,234,260,264,302,306,562,566,568,570,574,578,580,582,586,590,592,594,598,602,604,606,648,652,709,713] --> Loop 136 * CEs [481,489,497,505,513,521,529,537,545,553,612,620,631,639,698,714] --> Loop 137 * CEs [479,485,495,501,511,517,527,533,543,549,610,616,629,635,696,702] --> Loop 138 * CEs [147,150,155,158,163,166,171,174,179,182,238,241,249,252,294,297,480,483,486,487,491,493,496,499,502,503,507,509,512,515,518,519,523,525,528,531,534,535,539,541,544,547,550,551,555,557,611,614,617,618,622,624,630,633,636,637,641,643,697,700,703,704,716,723] --> Loop 139 * CEs [129,132,135,138,141,144,148,152,156,160,164,168,172,176,180,184,235,239,243,246,250,254,291,295,307,461,464,467,470,473,476,482,490,498,506,514,522,530,538,546,554,607,613,621,626,632,640,693,699,715] --> Loop 140 * CEs [130,131,133,134,136,137,139,140,142,143,145,146,149,151,153,154,157,159,161,162,165,167,169,170,173,175,177,178,181,183,185,186,236,237,240,242,244,245,247,248,251,253,255,256,266,268,272,276,280,284,292,293,296,298,308,310,312,316,320,324,328,336,338,342,346,348,350,354,358,360,362,366,370,372,374,378,382,384,386,390,394,396,398,402,406,408,410,414,418,420,422,426,430,462,463,465,466,468,469,471,472,474,475,477,478,484,488,492,494,500,504,508,510,516,520,524,526,532,536,540,542,548,552,556,558,608,609,615,619,623,625,627,628,634,638,642,644,654,659,666,672,678,684,694,695,701,705,717,719,725,732,738,744,750,759,762,768,774,777,780,786,792,795,798,804,810,813,816,822,828,831,834,840,846,849,852,858,864,867,870,876,882,885,888,894,900] --> Loop 141 ### Ranking functions of CR fun1(V1,V,V2,Out) * RF of phase [82,83]: [V,V2] * RF of phase [86,87,106]: [V2] #### Partial ranking functions of CR fun1(V1,V,V2,Out) * Partial RF of phase [82,83]: - RF of loop [82:1,83:1]: V V2 * Partial RF of phase [86,87,106]: - RF of loop [86:1,87:1,106:1]: V2 ### Specialization of cost equations start/3 * CE 1 is refined into CE [1078] * CE 2 is refined into CE [1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138] * CE 3 is refined into CE [1139,1140,1141,1142] * CE 4 is refined into CE [1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215] * CE 5 is refined into CE [1216,1217,1218,1219] * CE 6 is refined into CE [1220,1221,1222] * CE 7 is refined into CE [1223,1224,1225,1226,1227,1228] * CE 8 is refined into CE [1229,1230,1231,1232] * CE 9 is refined into CE [1233,1234,1235] * CE 10 is refined into CE [1236,1237,1238,1239,1240] * CE 11 is refined into CE [1241,1242] * CE 12 is refined into CE [1243,1244,1245,1246,1247,1248,1249] * CE 13 is refined into CE [1250,1251,1252,1253] ### Cost equations --> "Loop" of start/3 * CEs [1216,1224,1237,1245] --> Loop 142 * CEs [1080,1081,1082,1083,1084,1139,1191,1192,1193,1201,1202,1203] --> Loop 143 * CEs [1103,1104,1105,1106,1107,1108,1196,1197,1198,1230,1249,1251] --> Loop 144 * CEs [1099,1100,1101,1102,1194,1195,1231,1252] --> Loop 145 * CEs [1079,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1140,1141,1142,1184,1185,1186,1187,1188,1189,1190,1199,1200,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1235] --> Loop 146 * CEs [1160,1161] --> Loop 147 * CEs [1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1162,1164,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1234] --> Loop 148 * CEs [1143,1144,1145,1146,1159,1163,1165,1166,1177,1178,1179,1180,1181,1182,1183,1229,1250] --> Loop 149 * CEs [1078,1215,1217,1218,1219,1220,1221,1222,1223,1225,1226,1227,1228,1232,1233,1236,1238,1239,1240,1241,1242,1243,1244,1246,1247,1248,1253] --> Loop 150 ### Ranking functions of CR start(V1,V,V2) #### Partial ranking functions of CR start(V1,V,V2) Computing Bounds ===================================== #### Cost of chains of and(V1,V,Out): * Chain [41]: 0 with precondition: [V1=1,Out=1,V>=0] * Chain [40]: 0 with precondition: [V1=2,V=2,Out=2] * Chain [39]: 0 with precondition: [V=1,Out=1,V1>=0] * Chain [38]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of eq(V1,V,Out): * Chain [[42],46]: 0 with precondition: [Out=2,V1=V,V1>=1] * Chain [[42],45]: 0 with precondition: [Out=1,V1>=1,V>=V1+1] * Chain [[42],44]: 0 with precondition: [Out=1,V>=1,V1>=V+1] * Chain [[42],43]: 0 with precondition: [Out=0,V1>=1,V>=1] * Chain [46]: 0 with precondition: [V1=0,V=0,Out=2] * Chain [45]: 0 with precondition: [V1=0,Out=1,V>=1] * Chain [44]: 0 with precondition: [V=0,Out=1,V1>=1] * Chain [43]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of gr(V1,V,Out): * Chain [[47],50]: 0 with precondition: [Out=1,V1>=1,V>=V1] * Chain [[47],49]: 0 with precondition: [Out=2,V>=1,V1>=V+1] * Chain [[47],48]: 0 with precondition: [Out=0,V1>=1,V>=1] * Chain [50]: 0 with precondition: [V1=0,Out=1,V>=0] * Chain [49]: 0 with precondition: [V=0,Out=2,V1>=1] * Chain [48]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of p(V1,Out): * Chain [52]: 0 with precondition: [Out=0,V1>=0] * Chain [51]: 0 with precondition: [V1=Out+1,V1>=1] #### Cost of chains of cond2(V1,V,V2,Out): * Chain [[55],67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [[55],62,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [[55],60,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [[55],59,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=2] * Chain [[55],56,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=2] * Chain [[55],56,62,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=2] * Chain [[55],56,60,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=2] * Chain [[53],[55],67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],[55],62,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],[55],60,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],[55],59,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=3] * Chain [[53],[55],56,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=3] * Chain [[53],[55],56,62,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=3] * Chain [[53],[55],56,60,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=3] * Chain [[53],67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [[53],62,67]: 0 with precondition: [V1=2,Out=0,V2>=1,V>=V2] * Chain [[53],61,67]: 0 with precondition: [V1=2,Out=0,V2>=1,V>=V2+1] * Chain [[53],61,66]: 0 with precondition: [V1=2,Out=0,V2>=1,V>=V2+2] * Chain [[53],60,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [[53],59,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],58,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=1] * Chain [[53],57,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=2] * Chain [[53],56,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],56,62,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],56,60,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [[53],54,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=2] * Chain [[53],54,62,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=2] * Chain [[53],54,61,67]: 0 with precondition: [V1=2,Out=0,V>=3,V2>=2] * Chain [[53],54,61,66]: 0 with precondition: [V1=2,Out=0,V>=4,V2>=2] * Chain [[53],54,60,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=2] * Chain [[53],54,58,67]: 0 with precondition: [V1=2,Out=0,V>=3,V2>=2] * Chain [67]: 0 with precondition: [Out=0,V1>=0,V>=0,V2>=0] * Chain [66]: 0 with precondition: [V1=1,V2=0,Out=0,V>=1] * Chain [65]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [64,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[55],67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[55],62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[55],60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[55],59,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[55],56,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[55],56,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[55],56,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],[55],67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],[55],62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],[55],60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],[55],59,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,[53],[55],56,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,[53],[55],56,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,[53],[55],56,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,[53],67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[53],62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[53],60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,[53],59,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],58,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],57,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],56,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],56,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],56,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],54,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],54,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],54,61,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,[53],54,61,66]: 0 with precondition: [V1=1,Out=0,V=V2,V>=4] * Chain [63,[53],54,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,[53],54,58,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,59,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,58,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,57,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,56,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,56,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,56,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,54,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,54,62,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,54,61,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [63,54,61,66]: 0 with precondition: [V1=1,Out=0,V=V2,V>=3] * Chain [63,54,60,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=1] * Chain [63,54,58,67]: 0 with precondition: [V1=1,Out=0,V=V2,V>=2] * Chain [62,67]: 0 with precondition: [V1=2,V2=0,Out=0,V>=0] * Chain [61,67]: 0 with precondition: [V1=2,V2=0,Out=0,V>=1] * Chain [61,66]: 0 with precondition: [V1=2,V2=0,Out=0,V>=2] * Chain [60,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=0] * Chain [59,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [58,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=0] * Chain [57,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [56,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [56,62,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [56,60,67]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=1] * Chain [54,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [54,62,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [54,61,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=1] * Chain [54,61,66]: 0 with precondition: [V1=2,Out=0,V>=3,V2>=1] * Chain [54,60,67]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [54,58,67]: 0 with precondition: [V1=2,Out=0,V>=2,V2>=1] #### Cost of chains of fun2(V1,V,Out): * Chain [[68],70]: 1*it(68)+1 Such that:it(68) =< Out with precondition: [Out>=1,V1>=Out,V>=Out] * Chain [[68],69]: 1*it(68)+1 Such that:it(68) =< Out with precondition: [V+1=Out,V>=1,V1>=V+1] * Chain [70]: 1 with precondition: [Out=0,V1>=0,V>=0] * Chain [69]: 1 with precondition: [V=0,Out=1,V1>=1] #### Cost of chains of fun3(V1,Out): * Chain [73]: 1 with precondition: [V1=0,Out=2] * Chain [72]: 0 with precondition: [Out=0,V1>=0] * Chain [71]: 1 with precondition: [Out=1,V1>=1] #### Cost of chains of fun4(V1,V,Out): * Chain [77]: 1 with precondition: [V1=1,Out=2,V>=0] * Chain [76]: 1 with precondition: [V1=2,V=2,Out=1] * Chain [75]: 1 with precondition: [V=1,Out=3,V1>=0] * Chain [74]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of fun5(V1,V,Out): * Chain [[78],81]: 1*it(78)+1 Such that:it(78) =< Out with precondition: [Out>=1,V1>=Out,V>=Out] * Chain [[78],80]: 1*it(78)+1 Such that:it(78) =< Out with precondition: [V1+2=Out,V1>=1,V>=V1+1] * Chain [[78],79]: 1*it(78)+1 Such that:it(78) =< Out with precondition: [V+1=Out,V>=1,V1>=V+1] * Chain [81]: 1 with precondition: [Out=0,V1>=0,V>=0] * Chain [80]: 1 with precondition: [V1=0,Out=2,V>=1] * Chain [79]: 1 with precondition: [V=0,Out=1,V1>=1] #### Cost of chains of fun1(V1,V,V2,Out): * Chain [[86,87,106],119]: 6*it(86)+0 Such that:aux(3) =< V2 it(86) =< aux(3) with precondition: [V1=2,V>=0,V2>=1,Out>=1,3*V2>=Out] * Chain [[86,87,106],110,141]: 6*it(86)+4 Such that:aux(4) =< V2 it(86) =< aux(4) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+4,3*V2+4>=Out] * Chain [[86,87,106],110,140]: 6*it(86)+5 Such that:aux(5) =< V2 it(86) =< aux(5) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+7,3*V2+7>=Out] * Chain [[86,87,106],110,119]: 6*it(86)+2 Such that:aux(6) =< V2 it(86) =< aux(6) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+3,3*V2+3>=Out] * Chain [[86,87,106],109,119]: 6*it(86)+2 Such that:aux(7) =< V2 it(86) =< aux(7) with precondition: [V1=2,V>=0,V2>=1,Out>=4,3*V2+3>=Out] * Chain [[86,87,106],108,119]: 6*it(86)+2 Such that:aux(8) =< V2 it(86) =< aux(8) with precondition: [V1=2,V>=0,V2>=2,Out>=4,3*V2>=Out] * Chain [[86,87,106],107,119]: 6*it(86)+2 Such that:aux(9) =< V2 it(86) =< aux(9) with precondition: [V1=2,V>=0,V2>=2,Out>=4,3*V2>=Out] * Chain [[86,87,106],107,110,141]: 6*it(86)+6 Such that:aux(10) =< V2 it(86) =< aux(10) with precondition: [V1=2,V>=0,V2>=2,Out>=8,3*V2+4>=Out] * Chain [[86,87,106],107,110,140]: 6*it(86)+7 Such that:aux(11) =< V2 it(86) =< aux(11) with precondition: [V1=2,V>=0,V2>=2,Out>=11,3*V2+7>=Out] * Chain [[86,87,106],107,110,119]: 6*it(86)+4 Such that:aux(12) =< V2 it(86) =< aux(12) with precondition: [V1=2,V>=0,V2>=2,Out>=7,3*V2+3>=Out] * Chain [[86,87,106],107,109,119]: 6*it(86)+4 Such that:aux(13) =< V2 it(86) =< aux(13) with precondition: [V1=2,V>=0,V2>=2,Out>=7,3*V2+3>=Out] * Chain [[86,87,106],107,105,119]: 6*it(86)+4 Such that:aux(14) =< V2 it(86) =< aux(14) with precondition: [V1=2,V>=0,V2>=2,Out>=7,3*V2+3>=Out] * Chain [[86,87,106],107,103,141]: 6*it(86)+6 Such that:aux(15) =< V2 it(86) =< aux(15) with precondition: [V1=2,V>=0,V2>=2,Out>=6,3*V2+2>=Out] * Chain [[86,87,106],107,103,140]: 6*it(86)+7 Such that:aux(16) =< V2 it(86) =< aux(16) with precondition: [V1=2,V>=0,V2>=2,Out>=9,3*V2+5>=Out] * Chain [[86,87,106],107,103,119]: 6*it(86)+4 Such that:aux(17) =< V2 it(86) =< aux(17) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],107,98,119]: 6*it(86)+4 Such that:aux(18) =< V2 it(86) =< aux(18) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],105,119]: 6*it(86)+2 Such that:aux(19) =< V2 it(86) =< aux(19) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+3,3*V2+3>=Out] * Chain [[86,87,106],103,141]: 6*it(86)+4 Such that:aux(20) =< V2 it(86) =< aux(20) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+2,3*V2+2>=Out] * Chain [[86,87,106],103,140]: 6*it(86)+5 Such that:aux(21) =< V2 it(86) =< aux(21) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+5,3*V2+5>=Out] * Chain [[86,87,106],103,119]: 6*it(86)+2 Such that:aux(22) =< V2 it(86) =< aux(22) with precondition: [V1=2,V>=0,V2>=1,Out>=V2+1,3*V2+1>=Out] * Chain [[86,87,106],98,119]: 6*it(86)+2 Such that:aux(23) =< V2 it(86) =< aux(23) with precondition: [V1=2,V>=0,V2>=1,Out>=2,3*V2+1>=Out] * Chain [[86,87,106],97,119]: 6*it(86)+2 Such that:aux(24) =< V2 it(86) =< aux(24) with precondition: [V1=2,V>=0,V2>=2,Out>=3,3*V2>=Out+1] * Chain [[86,87,106],95,119]: 6*it(86)+2 Such that:aux(25) =< V2 it(86) =< aux(25) with precondition: [V1=2,V>=0,V2>=2,Out>=2,3*V2>=Out+2] * Chain [[86,87,106],94,119]: 6*it(86)+2 Such that:aux(26) =< V2 it(86) =< aux(26) with precondition: [V1=2,V>=0,V2>=2,Out>=3,3*V2>=Out+1] * Chain [[86,87,106],89,119]: 6*it(86)+2 Such that:aux(27) =< V2 it(86) =< aux(27) with precondition: [V1=2,V>=0,V2>=2,Out>=2,3*V2>=Out+2] * Chain [[86,87,106],89,110,141]: 6*it(86)+6 Such that:aux(28) =< V2 it(86) =< aux(28) with precondition: [V1=2,V>=0,V2>=2,Out>=6,3*V2+2>=Out] * Chain [[86,87,106],89,110,140]: 6*it(86)+7 Such that:aux(29) =< V2 it(86) =< aux(29) with precondition: [V1=2,V>=0,V2>=2,Out>=9,3*V2+5>=Out] * Chain [[86,87,106],89,110,119]: 6*it(86)+4 Such that:aux(30) =< V2 it(86) =< aux(30) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],89,109,119]: 6*it(86)+4 Such that:aux(31) =< V2 it(86) =< aux(31) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],89,105,119]: 6*it(86)+4 Such that:aux(32) =< V2 it(86) =< aux(32) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],89,103,141]: 6*it(86)+6 Such that:aux(33) =< V2 it(86) =< aux(33) with precondition: [V1=2,V>=0,V2>=2,Out>=4,3*V2>=Out] * Chain [[86,87,106],89,103,140]: 6*it(86)+7 Such that:aux(34) =< V2 it(86) =< aux(34) with precondition: [V1=2,V>=0,V2>=2,Out>=7,3*V2+3>=Out] * Chain [[86,87,106],89,103,119]: 6*it(86)+4 Such that:aux(35) =< V2 it(86) =< aux(35) with precondition: [V1=2,V>=0,V2>=2,Out>=3,3*V2>=Out+1] * Chain [[86,87,106],89,98,119]: 6*it(86)+4 Such that:aux(36) =< V2 it(86) =< aux(36) with precondition: [V1=2,V>=0,V2>=2,Out>=3,3*V2>=Out+1] * Chain [[86,87,106],88,119]: 6*it(86)+2 Such that:aux(37) =< V2 it(86) =< aux(37) with precondition: [V1=2,V>=0,V2>=2,Out>=3,3*V2>=Out+1] * Chain [[86,87,106],88,110,141]: 6*it(86)+6 Such that:aux(38) =< V2 it(86) =< aux(38) with precondition: [V1=2,V>=0,V2>=2,Out>=7,3*V2+3>=Out] * Chain [[86,87,106],88,110,140]: 6*it(86)+7 Such that:aux(39) =< V2 it(86) =< aux(39) with precondition: [V1=2,V>=0,V2>=2,Out>=10,3*V2+6>=Out] * Chain [[86,87,106],88,110,119]: 6*it(86)+4 Such that:aux(40) =< V2 it(86) =< aux(40) with precondition: [V1=2,V>=0,V2>=2,Out>=6,3*V2+2>=Out] * Chain [[86,87,106],88,109,119]: 6*it(86)+4 Such that:aux(41) =< V2 it(86) =< aux(41) with precondition: [V1=2,V>=0,V2>=2,Out>=6,3*V2+2>=Out] * Chain [[86,87,106],88,105,119]: 6*it(86)+4 Such that:aux(42) =< V2 it(86) =< aux(42) with precondition: [V1=2,V>=0,V2>=2,Out>=6,3*V2+2>=Out] * Chain [[86,87,106],88,103,141]: 6*it(86)+6 Such that:aux(43) =< V2 it(86) =< aux(43) with precondition: [V1=2,V>=0,V2>=2,Out>=5,3*V2+1>=Out] * Chain [[86,87,106],88,103,140]: 6*it(86)+7 Such that:aux(44) =< V2 it(86) =< aux(44) with precondition: [V1=2,V>=0,V2>=2,Out>=8,3*V2+4>=Out] * Chain [[86,87,106],88,103,119]: 6*it(86)+4 Such that:aux(45) =< V2 it(86) =< aux(45) with precondition: [V1=2,V>=0,V2>=2,Out>=4,3*V2>=Out] * Chain [[86,87,106],88,98,119]: 6*it(86)+4 Such that:aux(46) =< V2 it(86) =< aux(46) with precondition: [V1=2,V>=0,V2>=2,Out>=4,3*V2>=Out] * Chain [[82,83],[86,87,106],119]: 4*it(82)+6*it(86)+0 Such that:aux(47) =< V aux(51) =< V2 it(86) =< aux(51) it(82) =< aux(47) it(82) =< aux(51) with precondition: [V1=2,V>=1,V2>=2,Out>=2,3*V2>=Out+1] * Chain [[82,83],[86,87,106],110,141]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(52) =< V2 it(86) =< aux(52) it(82) =< aux(47) it(82) =< aux(52) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+4,3*V2+3>=Out] * Chain [[82,83],[86,87,106],110,140]: 4*it(82)+6*it(86)+5 Such that:aux(47) =< V aux(53) =< V2 it(86) =< aux(53) it(82) =< aux(47) it(82) =< aux(53) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+7,3*V2+6>=Out] * Chain [[82,83],[86,87,106],110,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(54) =< V2 it(86) =< aux(54) it(82) =< aux(47) it(82) =< aux(54) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+3,3*V2+2>=Out] * Chain [[82,83],[86,87,106],109,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(55) =< V2 it(86) =< aux(55) it(82) =< aux(47) it(82) =< aux(55) with precondition: [V1=2,V>=1,V2>=2,Out>=5,3*V2+2>=Out] * Chain [[82,83],[86,87,106],108,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(56) =< V2 it(86) =< aux(56) it(82) =< aux(47) it(82) =< aux(56) with precondition: [V1=2,V>=1,V2>=3,Out>=5,3*V2>=Out+1] * Chain [[82,83],[86,87,106],107,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(57) =< V2 it(86) =< aux(57) it(82) =< aux(47) it(82) =< aux(57) with precondition: [V1=2,V>=1,V2>=3,Out>=5,3*V2>=Out+1] * Chain [[82,83],[86,87,106],107,110,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(58) =< V2 it(86) =< aux(58) it(82) =< aux(47) it(82) =< aux(58) with precondition: [V1=2,V>=1,V2>=3,Out>=9,3*V2+3>=Out] * Chain [[82,83],[86,87,106],107,110,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(59) =< V2 it(86) =< aux(59) it(82) =< aux(47) it(82) =< aux(59) with precondition: [V1=2,V>=1,V2>=3,Out>=12,3*V2+6>=Out] * Chain [[82,83],[86,87,106],107,110,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(60) =< V2 it(86) =< aux(60) it(82) =< aux(47) it(82) =< aux(60) with precondition: [V1=2,V>=1,V2>=3,Out>=8,3*V2+2>=Out] * Chain [[82,83],[86,87,106],107,109,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(61) =< V2 it(86) =< aux(61) it(82) =< aux(47) it(82) =< aux(61) with precondition: [V1=2,V>=1,V2>=3,Out>=8,3*V2+2>=Out] * Chain [[82,83],[86,87,106],107,105,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(62) =< V2 it(86) =< aux(62) it(82) =< aux(47) it(82) =< aux(62) with precondition: [V1=2,V>=1,V2>=3,Out>=8,3*V2+2>=Out] * Chain [[82,83],[86,87,106],107,103,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(63) =< V2 it(86) =< aux(63) it(82) =< aux(47) it(82) =< aux(63) with precondition: [V1=2,V>=1,V2>=3,Out>=7,3*V2+1>=Out] * Chain [[82,83],[86,87,106],107,103,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(64) =< V2 it(86) =< aux(64) it(82) =< aux(47) it(82) =< aux(64) with precondition: [V1=2,V>=1,V2>=3,Out>=10,3*V2+4>=Out] * Chain [[82,83],[86,87,106],107,103,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(65) =< V2 it(86) =< aux(65) it(82) =< aux(47) it(82) =< aux(65) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],107,98,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(66) =< V2 it(86) =< aux(66) it(82) =< aux(47) it(82) =< aux(66) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],105,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(67) =< V2 it(86) =< aux(67) it(82) =< aux(47) it(82) =< aux(67) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+3,3*V2+2>=Out] * Chain [[82,83],[86,87,106],103,141]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(68) =< V2 it(86) =< aux(68) it(82) =< aux(47) it(82) =< aux(68) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+2,3*V2+1>=Out] * Chain [[82,83],[86,87,106],103,140]: 4*it(82)+6*it(86)+5 Such that:aux(47) =< V aux(69) =< V2 it(86) =< aux(69) it(82) =< aux(47) it(82) =< aux(69) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+5,3*V2+4>=Out] * Chain [[82,83],[86,87,106],103,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(70) =< V2 it(86) =< aux(70) it(82) =< aux(47) it(82) =< aux(70) with precondition: [V1=2,V>=1,V2>=2,Out>=V2+1,3*V2>=Out] * Chain [[82,83],[86,87,106],98,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(71) =< V2 it(86) =< aux(71) it(82) =< aux(47) it(82) =< aux(71) with precondition: [V1=2,V>=1,V2>=2,Out>=3,3*V2>=Out] * Chain [[82,83],[86,87,106],97,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(72) =< V2 it(86) =< aux(72) it(82) =< aux(47) it(82) =< aux(72) with precondition: [V1=2,V>=1,V2>=3,Out>=4,3*V2>=Out+2] * Chain [[82,83],[86,87,106],95,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(73) =< V2 it(86) =< aux(73) it(82) =< aux(47) it(82) =< aux(73) with precondition: [V1=2,V>=1,V2>=3,Out>=3,3*V2>=Out+3] * Chain [[82,83],[86,87,106],94,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(74) =< V2 it(86) =< aux(74) it(82) =< aux(47) it(82) =< aux(74) with precondition: [V1=2,V>=1,V2>=3,Out>=4,3*V2>=Out+2] * Chain [[82,83],[86,87,106],89,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(75) =< V2 it(86) =< aux(75) it(82) =< aux(47) it(82) =< aux(75) with precondition: [V1=2,V>=1,V2>=3,Out>=3,3*V2>=Out+3] * Chain [[82,83],[86,87,106],89,110,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(76) =< V2 it(86) =< aux(76) it(82) =< aux(47) it(82) =< aux(76) with precondition: [V1=2,V>=1,V2>=3,Out>=7,3*V2+1>=Out] * Chain [[82,83],[86,87,106],89,110,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(77) =< V2 it(86) =< aux(77) it(82) =< aux(47) it(82) =< aux(77) with precondition: [V1=2,V>=1,V2>=3,Out>=10,3*V2+4>=Out] * Chain [[82,83],[86,87,106],89,110,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(78) =< V2 it(86) =< aux(78) it(82) =< aux(47) it(82) =< aux(78) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],89,109,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(79) =< V2 it(86) =< aux(79) it(82) =< aux(47) it(82) =< aux(79) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],89,105,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(80) =< V2 it(86) =< aux(80) it(82) =< aux(47) it(82) =< aux(80) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],89,103,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(81) =< V2 it(86) =< aux(81) it(82) =< aux(47) it(82) =< aux(81) with precondition: [V1=2,V>=1,V2>=3,Out>=5,3*V2>=Out+1] * Chain [[82,83],[86,87,106],89,103,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(82) =< V2 it(86) =< aux(82) it(82) =< aux(47) it(82) =< aux(82) with precondition: [V1=2,V>=1,V2>=3,Out>=8,3*V2+2>=Out] * Chain [[82,83],[86,87,106],89,103,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(83) =< V2 it(86) =< aux(83) it(82) =< aux(47) it(82) =< aux(83) with precondition: [V1=2,V>=1,V2>=3,Out>=4,3*V2>=Out+2] * Chain [[82,83],[86,87,106],89,98,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(84) =< V2 it(86) =< aux(84) it(82) =< aux(47) it(82) =< aux(84) with precondition: [V1=2,V>=1,V2>=3,Out>=4,3*V2>=Out+2] * Chain [[82,83],[86,87,106],88,119]: 4*it(82)+6*it(86)+2 Such that:aux(47) =< V aux(85) =< V2 it(86) =< aux(85) it(82) =< aux(47) it(82) =< aux(85) with precondition: [V1=2,V>=1,V2>=3,Out>=4,3*V2>=Out+2] * Chain [[82,83],[86,87,106],88,110,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(86) =< V2 it(86) =< aux(86) it(82) =< aux(47) it(82) =< aux(86) with precondition: [V1=2,V>=1,V2>=3,Out>=8,3*V2+2>=Out] * Chain [[82,83],[86,87,106],88,110,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(87) =< V2 it(86) =< aux(87) it(82) =< aux(47) it(82) =< aux(87) with precondition: [V1=2,V>=1,V2>=3,Out>=11,3*V2+5>=Out] * Chain [[82,83],[86,87,106],88,110,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(88) =< V2 it(86) =< aux(88) it(82) =< aux(47) it(82) =< aux(88) with precondition: [V1=2,V>=1,V2>=3,Out>=7,3*V2+1>=Out] * Chain [[82,83],[86,87,106],88,109,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(89) =< V2 it(86) =< aux(89) it(82) =< aux(47) it(82) =< aux(89) with precondition: [V1=2,V>=1,V2>=3,Out>=7,3*V2+1>=Out] * Chain [[82,83],[86,87,106],88,105,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(90) =< V2 it(86) =< aux(90) it(82) =< aux(47) it(82) =< aux(90) with precondition: [V1=2,V>=1,V2>=3,Out>=7,3*V2+1>=Out] * Chain [[82,83],[86,87,106],88,103,141]: 4*it(82)+6*it(86)+6 Such that:aux(47) =< V aux(91) =< V2 it(86) =< aux(91) it(82) =< aux(47) it(82) =< aux(91) with precondition: [V1=2,V>=1,V2>=3,Out>=6,3*V2>=Out] * Chain [[82,83],[86,87,106],88,103,140]: 4*it(82)+6*it(86)+7 Such that:aux(47) =< V aux(92) =< V2 it(86) =< aux(92) it(82) =< aux(47) it(82) =< aux(92) with precondition: [V1=2,V>=1,V2>=3,Out>=9,3*V2+3>=Out] * Chain [[82,83],[86,87,106],88,103,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(93) =< V2 it(86) =< aux(93) it(82) =< aux(47) it(82) =< aux(93) with precondition: [V1=2,V>=1,V2>=3,Out>=5,3*V2>=Out+1] * Chain [[82,83],[86,87,106],88,98,119]: 4*it(82)+6*it(86)+4 Such that:aux(47) =< V aux(94) =< V2 it(86) =< aux(94) it(82) =< aux(47) it(82) =< aux(94) with precondition: [V1=2,V>=1,V2>=3,Out>=5,3*V2>=Out+1] * Chain [[82,83],119]: 4*it(82)+0 Such that:aux(95) =< V aux(96) =< V2 it(82) =< aux(95) it(82) =< aux(96) with precondition: [V1=2,V>=1,V2>=1,Out>=1,2*V>=Out,2*V2>=Out] * Chain [[82,83],110,141]: 4*it(82)+4 Such that:aux(47) =< V aux(97) =< V2 it(82) =< aux(47) it(82) =< aux(97) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+4,2*V2+4>=Out] * Chain [[82,83],110,140]: 4*it(82)+5 Such that:aux(47) =< V aux(98) =< V2 it(82) =< aux(47) it(82) =< aux(98) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+7,2*V2+7>=Out] * Chain [[82,83],110,119]: 4*it(82)+2 Such that:aux(47) =< V aux(99) =< V2 it(82) =< aux(47) it(82) =< aux(99) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],109,119]: 4*it(82)+2 Such that:aux(49) =< V2 aux(100) =< V it(82) =< aux(100) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V,Out>=V+3,2*V+3>=Out] * Chain [[82,83],108,119]: 4*it(82)+2 Such that:aux(49) =< V2 aux(101) =< V it(82) =< aux(101) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+3,2*V+3>=Out] * Chain [[82,83],107,119]: 4*it(82)+2 Such that:aux(49) =< V2 aux(102) =< V it(82) =< aux(102) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+3,2*V+3>=Out] * Chain [[82,83],107,110,141]: 4*it(82)+6 Such that:aux(49) =< V2 aux(103) =< V it(82) =< aux(103) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+7,2*V+7>=Out] * Chain [[82,83],107,110,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(104) =< V it(82) =< aux(104) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+10,2*V+10>=Out] * Chain [[82,83],107,110,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(105) =< V it(82) =< aux(105) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+6,2*V+6>=Out] * Chain [[82,83],107,109,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(106) =< V it(82) =< aux(106) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+6,2*V+6>=Out] * Chain [[82,83],107,105,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(107) =< V it(82) =< aux(107) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+6,2*V+6>=Out] * Chain [[82,83],107,103,141]: 4*it(82)+6 Such that:aux(49) =< V2 aux(108) =< V it(82) =< aux(108) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+5,2*V+5>=Out] * Chain [[82,83],107,103,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(109) =< V it(82) =< aux(109) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+8,2*V+8>=Out] * Chain [[82,83],107,103,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(110) =< V it(82) =< aux(110) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+4,2*V+4>=Out] * Chain [[82,83],107,98,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(111) =< V it(82) =< aux(111) it(82) =< aux(49) with precondition: [V1=2,V>=1,V2>=V+1,Out>=V+4,2*V+4>=Out] * Chain [[82,83],105,119]: 4*it(82)+2 Such that:aux(47) =< V aux(112) =< V2 it(82) =< aux(47) it(82) =< aux(112) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],104,119]: 4*it(82)+2 Such that:aux(47) =< V aux(113) =< V2 it(82) =< aux(47) it(82) =< aux(113) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],103,141]: 4*it(82)+4 Such that:aux(47) =< V aux(114) =< V2 it(82) =< aux(47) it(82) =< aux(114) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+2,2*V2+2>=Out] * Chain [[82,83],103,140]: 4*it(82)+5 Such that:aux(47) =< V aux(115) =< V2 it(82) =< aux(47) it(82) =< aux(115) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+5,2*V2+5>=Out] * Chain [[82,83],103,119]: 4*it(82)+2 Such that:aux(47) =< V aux(116) =< V2 it(82) =< aux(47) it(82) =< aux(116) with precondition: [V1=2,V2>=1,V>=V2,Out>=V2+1,2*V2+1>=Out] * Chain [[82,83],102,141]: 4*it(82)+4 Such that:aux(47) =< V aux(117) =< V2 it(82) =< aux(47) it(82) =< aux(117) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],102,140]: 4*it(82)+5 Such that:aux(47) =< V aux(118) =< V2 it(82) =< aux(47) it(82) =< aux(118) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+6,2*V2+6>=Out] * Chain [[82,83],102,119]: 4*it(82)+2 Such that:aux(47) =< V aux(119) =< V2 it(82) =< aux(47) it(82) =< aux(119) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+2,2*V2+2>=Out] * Chain [[82,83],101,141]: 4*it(82)+4 Such that:aux(47) =< V aux(120) =< V2 it(82) =< aux(47) it(82) =< aux(120) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+2,2*V2+2>=Out] * Chain [[82,83],101,140]: 4*it(82)+5 Such that:aux(47) =< V2+1 aux(121) =< V2 it(82) =< aux(47) it(82) =< aux(121) with precondition: [V1=2,V=V2+1,V>=2,Out>=V+4,2*V+3>=Out] * Chain [[82,83],101,136]: 4*it(82)+4 Such that:aux(47) =< V aux(122) =< V2 it(82) =< aux(47) it(82) =< aux(122) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+2,2*V2+2>=Out] * Chain [[82,83],101,135]: 4*it(82)+4 Such that:aux(47) =< V aux(123) =< V2 it(82) =< aux(47) it(82) =< aux(123) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],101,134]: 4*it(82)+5 Such that:aux(47) =< V aux(124) =< V2 it(82) =< aux(47) it(82) =< aux(124) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+4,2*V2+4>=Out] * Chain [[82,83],101,133]: 4*it(82)+5 Such that:aux(47) =< V aux(125) =< V2 it(82) =< aux(47) it(82) =< aux(125) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+5,2*V2+5>=Out] * Chain [[82,83],101,119]: 4*it(82)+2 Such that:aux(47) =< V aux(126) =< V2 it(82) =< aux(47) it(82) =< aux(126) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+1,2*V2+1>=Out] * Chain [[82,83],100,141]: 4*it(82)+4 Such that:aux(47) =< V aux(127) =< V2 it(82) =< aux(47) it(82) =< aux(127) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],100,140]: 4*it(82)+5 Such that:aux(47) =< V2+1 aux(128) =< V2 it(82) =< aux(47) it(82) =< aux(128) with precondition: [V1=2,V=V2+1,V>=2,Out>=V+5,2*V+4>=Out] * Chain [[82,83],100,136]: 4*it(82)+4 Such that:aux(47) =< V aux(129) =< V2 it(82) =< aux(47) it(82) =< aux(129) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],100,135]: 4*it(82)+4 Such that:aux(47) =< V aux(130) =< V2 it(82) =< aux(47) it(82) =< aux(130) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+4,2*V2+4>=Out] * Chain [[82,83],100,134]: 4*it(82)+5 Such that:aux(47) =< V aux(131) =< V2 it(82) =< aux(47) it(82) =< aux(131) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+5,2*V2+5>=Out] * Chain [[82,83],100,133]: 4*it(82)+5 Such that:aux(47) =< V aux(132) =< V2 it(82) =< aux(47) it(82) =< aux(132) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+6,2*V2+6>=Out] * Chain [[82,83],100,119]: 4*it(82)+2 Such that:aux(47) =< V aux(133) =< V2 it(82) =< aux(47) it(82) =< aux(133) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+2,2*V2+2>=Out] * Chain [[82,83],99,141]: 4*it(82)+4 Such that:aux(47) =< V aux(134) =< V2 it(82) =< aux(47) it(82) =< aux(134) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+4,2*V2+4>=Out] * Chain [[82,83],99,140]: 4*it(82)+5 Such that:aux(47) =< V2+1 aux(135) =< V2 it(82) =< aux(47) it(82) =< aux(135) with precondition: [V1=2,V=V2+1,V>=2,Out>=V+6,2*V+5>=Out] * Chain [[82,83],99,136]: 4*it(82)+4 Such that:aux(47) =< V aux(136) =< V2 it(82) =< aux(47) it(82) =< aux(136) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+4,2*V2+4>=Out] * Chain [[82,83],99,135]: 4*it(82)+4 Such that:aux(47) =< V aux(137) =< V2 it(82) =< aux(47) it(82) =< aux(137) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+5,2*V2+5>=Out] * Chain [[82,83],99,134]: 4*it(82)+5 Such that:aux(47) =< V aux(138) =< V2 it(82) =< aux(47) it(82) =< aux(138) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+6,2*V2+6>=Out] * Chain [[82,83],99,133]: 4*it(82)+5 Such that:aux(47) =< V aux(139) =< V2 it(82) =< aux(47) it(82) =< aux(139) with precondition: [V1=2,V2>=1,V>=V2+2,Out>=V2+7,2*V2+7>=Out] * Chain [[82,83],99,119]: 4*it(82)+2 Such that:aux(47) =< V aux(140) =< V2 it(82) =< aux(47) it(82) =< aux(140) with precondition: [V1=2,V2>=1,V>=V2+1,Out>=V2+3,2*V2+3>=Out] * Chain [[82,83],98,119]: 4*it(82)+2 Such that:aux(141) =< V aux(142) =< V2 it(82) =< aux(141) it(82) =< aux(142) with precondition: [V1=2,V>=1,V2>=1,Out>=2,2*V+1>=Out,2*V2+1>=Out] * Chain [[82,83],97,119]: 4*it(82)+2 Such that:aux(143) =< V aux(144) =< V2 it(82) =< aux(143) it(82) =< aux(144) with precondition: [V1=2,V>=1,V2>=2,Out>=3,2*V+2>=Out,2*V2>=Out] * Chain [[82,83],96,119]: 4*it(82)+2 Such that:aux(145) =< V aux(146) =< V2 it(82) =< aux(145) it(82) =< aux(146) with precondition: [V1=2,V>=2,V2>=1,Out>=3,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],95,119]: 4*it(82)+2 Such that:aux(147) =< V aux(148) =< V2 it(82) =< aux(147) it(82) =< aux(148) with precondition: [V1=2,V>=1,V2>=2,Out>=2,2*V+1>=Out,2*V2>=Out+1] * Chain [[82,83],94,119]: 4*it(82)+2 Such that:aux(149) =< V aux(150) =< V2 it(82) =< aux(149) it(82) =< aux(150) with precondition: [V1=2,V>=1,V2>=2,Out>=3,2*V+2>=Out,2*V2>=Out] * Chain [[82,83],93,119]: 4*it(82)+2 Such that:aux(151) =< V aux(152) =< V2 it(82) =< aux(151) it(82) =< aux(152) with precondition: [V1=2,V>=2,V2>=1,Out>=2,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],92,119]: 4*it(82)+2 Such that:aux(153) =< V aux(154) =< V2 it(82) =< aux(153) it(82) =< aux(154) with precondition: [V1=2,V>=2,V2>=1,Out>=3,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],91,119]: 4*it(82)+2 Such that:aux(155) =< V aux(156) =< V2 it(82) =< aux(155) it(82) =< aux(156) with precondition: [V1=2,V>=2,V2>=2,Out>=2,2*V>=Out+1,2*V2>=Out+1] * Chain [[82,83],90,119]: 4*it(82)+2 Such that:aux(157) =< V aux(158) =< V2 it(82) =< aux(157) it(82) =< aux(158) with precondition: [V1=2,V>=2,V2>=2,Out>=3,2*V>=Out,2*V2>=Out] * Chain [[82,83],89,119]: 4*it(82)+2 Such that:aux(159) =< V aux(160) =< V2 it(82) =< aux(159) it(82) =< aux(160) with precondition: [V1=2,V>=1,V2>=2,Out>=2,2*V+1>=Out,2*V2>=Out+1] * Chain [[82,83],89,110,141]: 4*it(82)+6 Such that:aux(161) =< V aux(162) =< V2 it(82) =< aux(161) it(82) =< aux(162) with precondition: [V1=2,V>=1,V2>=2,Out>=6,2*V+5>=Out,2*V2+3>=Out] * Chain [[82,83],89,110,140]: 4*it(82)+7 Such that:aux(163) =< V aux(164) =< V2 it(82) =< aux(163) it(82) =< aux(164) with precondition: [V1=2,V>=1,V2>=2,Out>=9,2*V+8>=Out,2*V2+6>=Out] * Chain [[82,83],89,110,119]: 4*it(82)+4 Such that:aux(165) =< V aux(166) =< V2 it(82) =< aux(165) it(82) =< aux(166) with precondition: [V1=2,V>=1,V2>=2,Out>=5,2*V+4>=Out,2*V2+2>=Out] * Chain [[82,83],89,109,119]: 4*it(82)+4 Such that:aux(167) =< V aux(168) =< V2 it(82) =< aux(167) it(82) =< aux(168) with precondition: [V1=2,V>=1,V2>=2,Out>=5,2*V+4>=Out,2*V2+2>=Out] * Chain [[82,83],89,105,119]: 4*it(82)+4 Such that:aux(169) =< V aux(170) =< V2 it(82) =< aux(169) it(82) =< aux(170) with precondition: [V1=2,V>=1,V2>=2,Out>=5,2*V+4>=Out,2*V2+2>=Out] * Chain [[82,83],89,103,141]: 4*it(82)+6 Such that:aux(171) =< V aux(172) =< V2 it(82) =< aux(171) it(82) =< aux(172) with precondition: [V1=2,V>=1,V2>=2,Out>=4,2*V+3>=Out,2*V2+1>=Out] * Chain [[82,83],89,103,140]: 4*it(82)+7 Such that:aux(173) =< V aux(174) =< V2 it(82) =< aux(173) it(82) =< aux(174) with precondition: [V1=2,V>=1,V2>=2,Out>=7,2*V+6>=Out,2*V2+4>=Out] * Chain [[82,83],89,103,119]: 4*it(82)+4 Such that:aux(175) =< V aux(176) =< V2 it(82) =< aux(175) it(82) =< aux(176) with precondition: [V1=2,V>=1,V2>=2,Out>=3,2*V+2>=Out,2*V2>=Out] * Chain [[82,83],89,98,119]: 4*it(82)+4 Such that:aux(177) =< V aux(178) =< V2 it(82) =< aux(177) it(82) =< aux(178) with precondition: [V1=2,V>=1,V2>=2,Out>=3,2*V+2>=Out,2*V2>=Out] * Chain [[82,83],88,119]: 4*it(82)+2 Such that:aux(179) =< V aux(180) =< V2 it(82) =< aux(179) it(82) =< aux(180) with precondition: [V1=2,V>=1,V2>=2,Out>=3,2*V+2>=Out,2*V2>=Out] * Chain [[82,83],88,110,141]: 4*it(82)+6 Such that:aux(181) =< V aux(182) =< V2 it(82) =< aux(181) it(82) =< aux(182) with precondition: [V1=2,V>=1,V2>=2,Out>=7,2*V+6>=Out,2*V2+4>=Out] * Chain [[82,83],88,110,140]: 4*it(82)+7 Such that:aux(183) =< V aux(184) =< V2 it(82) =< aux(183) it(82) =< aux(184) with precondition: [V1=2,V>=1,V2>=2,Out>=10,2*V+9>=Out,2*V2+7>=Out] * Chain [[82,83],88,110,119]: 4*it(82)+4 Such that:aux(185) =< V aux(186) =< V2 it(82) =< aux(185) it(82) =< aux(186) with precondition: [V1=2,V>=1,V2>=2,Out>=6,2*V+5>=Out,2*V2+3>=Out] * Chain [[82,83],88,109,119]: 4*it(82)+4 Such that:aux(187) =< V aux(188) =< V2 it(82) =< aux(187) it(82) =< aux(188) with precondition: [V1=2,V>=1,V2>=2,Out>=6,2*V+5>=Out,2*V2+3>=Out] * Chain [[82,83],88,105,119]: 4*it(82)+4 Such that:aux(189) =< V aux(190) =< V2 it(82) =< aux(189) it(82) =< aux(190) with precondition: [V1=2,V>=1,V2>=2,Out>=6,2*V+5>=Out,2*V2+3>=Out] * Chain [[82,83],88,103,141]: 4*it(82)+6 Such that:aux(191) =< V aux(192) =< V2 it(82) =< aux(191) it(82) =< aux(192) with precondition: [V1=2,V>=1,V2>=2,Out>=5,2*V+4>=Out,2*V2+2>=Out] * Chain [[82,83],88,103,140]: 4*it(82)+7 Such that:aux(193) =< V aux(194) =< V2 it(82) =< aux(193) it(82) =< aux(194) with precondition: [V1=2,V>=1,V2>=2,Out>=8,2*V+7>=Out,2*V2+5>=Out] * Chain [[82,83],88,103,119]: 4*it(82)+4 Such that:aux(195) =< V aux(196) =< V2 it(82) =< aux(195) it(82) =< aux(196) with precondition: [V1=2,V>=1,V2>=2,Out>=4,2*V+3>=Out,2*V2+1>=Out] * Chain [[82,83],88,98,119]: 4*it(82)+4 Such that:aux(197) =< V aux(198) =< V2 it(82) =< aux(197) it(82) =< aux(198) with precondition: [V1=2,V>=1,V2>=2,Out>=4,2*V+3>=Out,2*V2+1>=Out] * Chain [[82,83],85,119]: 4*it(82)+2 Such that:aux(199) =< V aux(200) =< V2 it(82) =< aux(199) it(82) =< aux(200) with precondition: [V1=2,V>=2,V2>=2,Out>=2,2*V>=Out+1,2*V2>=Out+1] * Chain [[82,83],85,110,141]: 4*it(82)+6 Such that:aux(201) =< V aux(202) =< V2 it(82) =< aux(201) it(82) =< aux(202) with precondition: [V1=2,V>=2,V2>=2,Out>=6,2*V+3>=Out,2*V2+3>=Out] * Chain [[82,83],85,110,140]: 4*it(82)+7 Such that:aux(203) =< V aux(204) =< V2 it(82) =< aux(203) it(82) =< aux(204) with precondition: [V1=2,V>=2,V2>=2,Out>=9,2*V+6>=Out,2*V2+6>=Out] * Chain [[82,83],85,110,119]: 4*it(82)+4 Such that:aux(205) =< V aux(206) =< V2 it(82) =< aux(205) it(82) =< aux(206) with precondition: [V1=2,V>=2,V2>=2,Out>=5,2*V+2>=Out,2*V2+2>=Out] * Chain [[82,83],85,109,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(207) =< V it(82) =< aux(207) it(82) =< aux(49) with precondition: [V1=2,V>=2,V2>=V,Out>=V+3,2*V+2>=Out] * Chain [[82,83],85,105,119]: 4*it(82)+4 Such that:aux(208) =< V aux(209) =< V2 it(82) =< aux(208) it(82) =< aux(209) with precondition: [V1=2,V>=2,V2>=2,Out>=5,2*V+2>=Out,2*V2+2>=Out] * Chain [[82,83],85,104,119]: 4*it(82)+4 Such that:aux(210) =< V aux(211) =< V2 it(82) =< aux(210) it(82) =< aux(211) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],85,103,141]: 4*it(82)+6 Such that:aux(212) =< V aux(213) =< V2 it(82) =< aux(212) it(82) =< aux(213) with precondition: [V1=2,V>=2,V2>=2,Out>=4,2*V+1>=Out,2*V2+1>=Out] * Chain [[82,83],85,103,140]: 4*it(82)+7 Such that:aux(214) =< V aux(215) =< V2 it(82) =< aux(214) it(82) =< aux(215) with precondition: [V1=2,V>=2,V2>=2,Out>=7,2*V+4>=Out,2*V2+4>=Out] * Chain [[82,83],85,103,119]: 4*it(82)+4 Such that:aux(216) =< V aux(217) =< V2 it(82) =< aux(216) it(82) =< aux(217) with precondition: [V1=2,V>=2,V2>=2,Out>=3,2*V>=Out,2*V2>=Out] * Chain [[82,83],85,102,141]: 4*it(82)+6 Such that:aux(218) =< V aux(219) =< V2 it(82) =< aux(218) it(82) =< aux(219) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],85,102,140]: 4*it(82)+7 Such that:aux(220) =< V aux(221) =< V2 it(82) =< aux(220) it(82) =< aux(221) with precondition: [V1=2,V>=3,V2>=2,Out>=8,2*V+3>=Out,2*V2+5>=Out] * Chain [[82,83],85,102,119]: 4*it(82)+4 Such that:aux(222) =< V aux(223) =< V2 it(82) =< aux(222) it(82) =< aux(223) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],85,101,141]: 4*it(82)+6 Such that:aux(224) =< V aux(225) =< V2 it(82) =< aux(224) it(82) =< aux(225) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],85,101,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(226) =< V it(82) =< aux(226) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+4,2*V+2>=Out] * Chain [[82,83],85,101,136]: 4*it(82)+6 Such that:aux(227) =< V aux(228) =< V2 it(82) =< aux(227) it(82) =< aux(228) with precondition: [V1=2,V>=4,V2>=2,Out>=4,2*V>=Out+3,2*V2+1>=Out] * Chain [[82,83],85,101,135]: 4*it(82)+6 Such that:aux(229) =< V aux(230) =< V2 it(82) =< aux(229) it(82) =< aux(230) with precondition: [V1=2,V>=4,V2>=2,Out>=5,2*V>=Out+2,2*V2+2>=Out] * Chain [[82,83],85,101,134]: 4*it(82)+7 Such that:aux(231) =< V aux(232) =< V2 it(82) =< aux(231) it(82) =< aux(232) with precondition: [V1=2,V>=4,V2>=2,Out>=6,2*V>=Out+1,2*V2+3>=Out] * Chain [[82,83],85,101,133]: 4*it(82)+7 Such that:aux(233) =< V aux(234) =< V2 it(82) =< aux(233) it(82) =< aux(234) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],85,101,119]: 4*it(82)+4 Such that:aux(235) =< V aux(236) =< V2 it(82) =< aux(235) it(82) =< aux(236) with precondition: [V1=2,V>=3,V2>=2,Out>=3,2*V>=Out+2,2*V2>=Out] * Chain [[82,83],85,100,141]: 4*it(82)+6 Such that:aux(237) =< V aux(238) =< V2 it(82) =< aux(237) it(82) =< aux(238) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],85,100,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(239) =< V it(82) =< aux(239) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+5,2*V+3>=Out] * Chain [[82,83],85,100,136]: 4*it(82)+6 Such that:aux(240) =< V aux(241) =< V2 it(82) =< aux(240) it(82) =< aux(241) with precondition: [V1=2,V>=4,V2>=2,Out>=5,2*V>=Out+2,2*V2+2>=Out] * Chain [[82,83],85,100,135]: 4*it(82)+6 Such that:aux(242) =< V aux(243) =< V2 it(82) =< aux(242) it(82) =< aux(243) with precondition: [V1=2,V>=4,V2>=2,Out>=6,2*V>=Out+1,2*V2+3>=Out] * Chain [[82,83],85,100,134]: 4*it(82)+7 Such that:aux(244) =< V aux(245) =< V2 it(82) =< aux(244) it(82) =< aux(245) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],85,100,133]: 4*it(82)+7 Such that:aux(246) =< V aux(247) =< V2 it(82) =< aux(246) it(82) =< aux(247) with precondition: [V1=2,V>=4,V2>=2,Out>=8,2*V+1>=Out,2*V2+5>=Out] * Chain [[82,83],85,100,119]: 4*it(82)+4 Such that:aux(248) =< V aux(249) =< V2 it(82) =< aux(248) it(82) =< aux(249) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],85,99,141]: 4*it(82)+6 Such that:aux(250) =< V aux(251) =< V2 it(82) =< aux(250) it(82) =< aux(251) with precondition: [V1=2,V>=3,V2>=2,Out>=6,2*V+1>=Out,2*V2+3>=Out] * Chain [[82,83],85,99,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(252) =< V it(82) =< aux(252) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+6,2*V+4>=Out] * Chain [[82,83],85,99,136]: 4*it(82)+6 Such that:aux(253) =< V aux(254) =< V2 it(82) =< aux(253) it(82) =< aux(254) with precondition: [V1=2,V>=4,V2>=2,Out>=6,2*V>=Out+1,2*V2+3>=Out] * Chain [[82,83],85,99,135]: 4*it(82)+6 Such that:aux(255) =< V aux(256) =< V2 it(82) =< aux(255) it(82) =< aux(256) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],85,99,134]: 4*it(82)+7 Such that:aux(257) =< V aux(258) =< V2 it(82) =< aux(257) it(82) =< aux(258) with precondition: [V1=2,V>=4,V2>=2,Out>=8,2*V+1>=Out,2*V2+5>=Out] * Chain [[82,83],85,99,133]: 4*it(82)+7 Such that:aux(259) =< V aux(260) =< V2 it(82) =< aux(259) it(82) =< aux(260) with precondition: [V1=2,V>=4,V2>=2,Out>=9,2*V+2>=Out,2*V2+6>=Out] * Chain [[82,83],85,99,119]: 4*it(82)+4 Such that:aux(261) =< V aux(262) =< V2 it(82) =< aux(261) it(82) =< aux(262) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],85,98,119]: 4*it(82)+4 Such that:aux(263) =< V aux(264) =< V2 it(82) =< aux(263) it(82) =< aux(264) with precondition: [V1=2,V>=2,V2>=2,Out>=3,2*V>=Out,2*V2>=Out] * Chain [[82,83],85,96,119]: 4*it(82)+4 Such that:aux(265) =< V aux(266) =< V2 it(82) =< aux(265) it(82) =< aux(266) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],85,93,119]: 4*it(82)+4 Such that:aux(267) =< V aux(268) =< V2 it(82) =< aux(267) it(82) =< aux(268) with precondition: [V1=2,V>=3,V2>=2,Out>=3,2*V>=Out+2,2*V2>=Out] * Chain [[82,83],85,92,119]: 4*it(82)+4 Such that:aux(269) =< V aux(270) =< V2 it(82) =< aux(269) it(82) =< aux(270) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],84,119]: 4*it(82)+2 Such that:aux(271) =< V aux(272) =< V2 it(82) =< aux(271) it(82) =< aux(272) with precondition: [V1=2,V>=2,V2>=2,Out>=3,2*V>=Out,2*V2>=Out] * Chain [[82,83],84,110,141]: 4*it(82)+6 Such that:aux(273) =< V aux(274) =< V2 it(82) =< aux(273) it(82) =< aux(274) with precondition: [V1=2,V>=2,V2>=2,Out>=7,2*V+4>=Out,2*V2+4>=Out] * Chain [[82,83],84,110,140]: 4*it(82)+7 Such that:aux(275) =< V aux(276) =< V2 it(82) =< aux(275) it(82) =< aux(276) with precondition: [V1=2,V>=2,V2>=2,Out>=10,2*V+7>=Out,2*V2+7>=Out] * Chain [[82,83],84,110,119]: 4*it(82)+4 Such that:aux(277) =< V aux(278) =< V2 it(82) =< aux(277) it(82) =< aux(278) with precondition: [V1=2,V>=2,V2>=2,Out>=6,2*V+3>=Out,2*V2+3>=Out] * Chain [[82,83],84,109,119]: 4*it(82)+4 Such that:aux(49) =< V2 aux(279) =< V it(82) =< aux(279) it(82) =< aux(49) with precondition: [V1=2,V>=2,V2>=V,Out>=V+4,2*V+3>=Out] * Chain [[82,83],84,105,119]: 4*it(82)+4 Such that:aux(280) =< V aux(281) =< V2 it(82) =< aux(280) it(82) =< aux(281) with precondition: [V1=2,V>=2,V2>=2,Out>=6,2*V+3>=Out,2*V2+3>=Out] * Chain [[82,83],84,104,119]: 4*it(82)+4 Such that:aux(282) =< V aux(283) =< V2 it(82) =< aux(282) it(82) =< aux(283) with precondition: [V1=2,V>=3,V2>=2,Out>=6,2*V+1>=Out,2*V2+3>=Out] * Chain [[82,83],84,103,141]: 4*it(82)+6 Such that:aux(284) =< V aux(285) =< V2 it(82) =< aux(284) it(82) =< aux(285) with precondition: [V1=2,V>=2,V2>=2,Out>=5,2*V+2>=Out,2*V2+2>=Out] * Chain [[82,83],84,103,140]: 4*it(82)+7 Such that:aux(286) =< V aux(287) =< V2 it(82) =< aux(286) it(82) =< aux(287) with precondition: [V1=2,V>=2,V2>=2,Out>=8,2*V+5>=Out,2*V2+5>=Out] * Chain [[82,83],84,103,119]: 4*it(82)+4 Such that:aux(288) =< V aux(289) =< V2 it(82) =< aux(288) it(82) =< aux(289) with precondition: [V1=2,V>=2,V2>=2,Out>=4,2*V+1>=Out,2*V2+1>=Out] * Chain [[82,83],84,102,141]: 4*it(82)+6 Such that:aux(290) =< V aux(291) =< V2 it(82) =< aux(290) it(82) =< aux(291) with precondition: [V1=2,V>=3,V2>=2,Out>=6,2*V+1>=Out,2*V2+3>=Out] * Chain [[82,83],84,102,140]: 4*it(82)+7 Such that:aux(292) =< V aux(293) =< V2 it(82) =< aux(292) it(82) =< aux(293) with precondition: [V1=2,V>=3,V2>=2,Out>=9,2*V+4>=Out,2*V2+6>=Out] * Chain [[82,83],84,102,119]: 4*it(82)+4 Such that:aux(294) =< V aux(295) =< V2 it(82) =< aux(294) it(82) =< aux(295) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],84,101,141]: 4*it(82)+6 Such that:aux(296) =< V aux(297) =< V2 it(82) =< aux(296) it(82) =< aux(297) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],84,101,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(298) =< V it(82) =< aux(298) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+5,2*V+3>=Out] * Chain [[82,83],84,101,136]: 4*it(82)+6 Such that:aux(299) =< V aux(300) =< V2 it(82) =< aux(299) it(82) =< aux(300) with precondition: [V1=2,V>=4,V2>=2,Out>=5,2*V>=Out+2,2*V2+2>=Out] * Chain [[82,83],84,101,135]: 4*it(82)+6 Such that:aux(301) =< V aux(302) =< V2 it(82) =< aux(301) it(82) =< aux(302) with precondition: [V1=2,V>=4,V2>=2,Out>=6,2*V>=Out+1,2*V2+3>=Out] * Chain [[82,83],84,101,134]: 4*it(82)+7 Such that:aux(303) =< V aux(304) =< V2 it(82) =< aux(303) it(82) =< aux(304) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],84,101,133]: 4*it(82)+7 Such that:aux(305) =< V aux(306) =< V2 it(82) =< aux(305) it(82) =< aux(306) with precondition: [V1=2,V>=4,V2>=2,Out>=8,2*V+1>=Out,2*V2+5>=Out] * Chain [[82,83],84,101,119]: 4*it(82)+4 Such that:aux(307) =< V aux(308) =< V2 it(82) =< aux(307) it(82) =< aux(308) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],84,100,141]: 4*it(82)+6 Such that:aux(309) =< V aux(310) =< V2 it(82) =< aux(309) it(82) =< aux(310) with precondition: [V1=2,V>=3,V2>=2,Out>=6,2*V+1>=Out,2*V2+3>=Out] * Chain [[82,83],84,100,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(311) =< V it(82) =< aux(311) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+6,2*V+4>=Out] * Chain [[82,83],84,100,136]: 4*it(82)+6 Such that:aux(312) =< V aux(313) =< V2 it(82) =< aux(312) it(82) =< aux(313) with precondition: [V1=2,V>=4,V2>=2,Out>=6,2*V>=Out+1,2*V2+3>=Out] * Chain [[82,83],84,100,135]: 4*it(82)+6 Such that:aux(314) =< V aux(315) =< V2 it(82) =< aux(314) it(82) =< aux(315) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],84,100,134]: 4*it(82)+7 Such that:aux(316) =< V aux(317) =< V2 it(82) =< aux(316) it(82) =< aux(317) with precondition: [V1=2,V>=4,V2>=2,Out>=8,2*V+1>=Out,2*V2+5>=Out] * Chain [[82,83],84,100,133]: 4*it(82)+7 Such that:aux(318) =< V aux(319) =< V2 it(82) =< aux(318) it(82) =< aux(319) with precondition: [V1=2,V>=4,V2>=2,Out>=9,2*V+2>=Out,2*V2+6>=Out] * Chain [[82,83],84,100,119]: 4*it(82)+4 Such that:aux(320) =< V aux(321) =< V2 it(82) =< aux(320) it(82) =< aux(321) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],84,99,141]: 4*it(82)+6 Such that:aux(322) =< V aux(323) =< V2 it(82) =< aux(322) it(82) =< aux(323) with precondition: [V1=2,V>=3,V2>=2,Out>=7,2*V+2>=Out,2*V2+4>=Out] * Chain [[82,83],84,99,140]: 4*it(82)+7 Such that:aux(49) =< V2 aux(324) =< V it(82) =< aux(324) it(82) =< aux(49) with precondition: [V1=2,V>=3,V2+1>=V,Out>=V+7,2*V+5>=Out] * Chain [[82,83],84,99,136]: 4*it(82)+6 Such that:aux(325) =< V aux(326) =< V2 it(82) =< aux(325) it(82) =< aux(326) with precondition: [V1=2,V>=4,V2>=2,Out>=7,2*V>=Out,2*V2+4>=Out] * Chain [[82,83],84,99,135]: 4*it(82)+6 Such that:aux(327) =< V aux(328) =< V2 it(82) =< aux(327) it(82) =< aux(328) with precondition: [V1=2,V>=4,V2>=2,Out>=8,2*V+1>=Out,2*V2+5>=Out] * Chain [[82,83],84,99,134]: 4*it(82)+7 Such that:aux(329) =< V aux(330) =< V2 it(82) =< aux(329) it(82) =< aux(330) with precondition: [V1=2,V>=4,V2>=2,Out>=9,2*V+2>=Out,2*V2+6>=Out] * Chain [[82,83],84,99,133]: 4*it(82)+7 Such that:aux(331) =< V aux(332) =< V2 it(82) =< aux(331) it(82) =< aux(332) with precondition: [V1=2,V>=4,V2>=2,Out>=10,2*V+3>=Out,2*V2+7>=Out] * Chain [[82,83],84,99,119]: 4*it(82)+4 Such that:aux(333) =< V aux(334) =< V2 it(82) =< aux(333) it(82) =< aux(334) with precondition: [V1=2,V>=3,V2>=2,Out>=6,2*V+1>=Out,2*V2+3>=Out] * Chain [[82,83],84,98,119]: 4*it(82)+4 Such that:aux(335) =< V aux(336) =< V2 it(82) =< aux(335) it(82) =< aux(336) with precondition: [V1=2,V>=2,V2>=2,Out>=4,2*V+1>=Out,2*V2+1>=Out] * Chain [[82,83],84,96,119]: 4*it(82)+4 Such that:aux(337) =< V aux(338) =< V2 it(82) =< aux(337) it(82) =< aux(338) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [[82,83],84,93,119]: 4*it(82)+4 Such that:aux(339) =< V aux(340) =< V2 it(82) =< aux(339) it(82) =< aux(340) with precondition: [V1=2,V>=3,V2>=2,Out>=4,2*V>=Out+1,2*V2+1>=Out] * Chain [[82,83],84,92,119]: 4*it(82)+4 Such that:aux(341) =< V aux(342) =< V2 it(82) =< aux(341) it(82) =< aux(342) with precondition: [V1=2,V>=3,V2>=2,Out>=5,2*V>=Out,2*V2+2>=Out] * Chain [141]: 2 with precondition: [V1=1,Out=1,V>=0,V2>=0] * Chain [140]: 3 with precondition: [V1=1,V=0,Out=4,V2>=0] * Chain [139]: 3 with precondition: [V1=1,V=0,Out=3,V2>=1] * Chain [138]: 3 with precondition: [V1=1,V=0,Out=5,V2>=1] * Chain [137]: 3 with precondition: [V1=1,V=0,Out=6,V2>=1] * Chain [136]: 2 with precondition: [V1=1,V2=0,Out=1,V>=1] * Chain [135]: 2 with precondition: [V1=1,Out=2,V>=1,V2>=0] * Chain [134]: 3 with precondition: [V1=1,V2=0,Out=3,V>=1] * Chain [133]: 3 with precondition: [V1=1,V2=0,Out=4,V>=1] * Chain [132]: 2 with precondition: [V1=1,Out=1,V=V2,V>=1] * Chain [131]: 20*s(1)+3 Such that:aux(343) =< V2 s(1) =< aux(343) with precondition: [V1=1,Out>=2,V+1>=Out,V2+1>=Out] * Chain [130]: 5*s(21)+3 Such that:aux(344) =< V2 s(21) =< aux(344) with precondition: [V1=1,V=V2,Out>=3,V+2>=Out] * Chain [129]: 3 with precondition: [V1=1,Out=3,V>=1,V2>=V+1] * Chain [128]: 3 with precondition: [V1=1,Out=3,V2>=1,V>=V2+1] * Chain [127]: 12*s(26)+3 Such that:aux(345) =< V s(26) =< aux(345) with precondition: [V1=1,Out>=4,V2>=V+1,V+3>=Out] * Chain [126]: 12*s(38)+3 Such that:aux(346) =< V2 s(38) =< aux(346) with precondition: [V1=1,Out>=4,V>=V2+1,V2+3>=Out] * Chain [125]: 24*s(50)+2 Such that:aux(347) =< V2+1 s(50) =< aux(347) with precondition: [V1=1,V2+2=Out,V2>=1,V>=V2+1] * Chain [124]: 12*s(74)+3 Such that:aux(348) =< V2+1 s(74) =< aux(348) with precondition: [V1=1,V2+4=Out,V2>=1,V>=V2+1] * Chain [123]: 12*s(86)+3 Such that:aux(349) =< V+2 s(86) =< aux(349) with precondition: [V1=1,V+5=Out,V>=1,V2>=V+1] * Chain [122]: 24*s(98)+2 Such that:aux(350) =< V+2 s(98) =< aux(350) with precondition: [V1=1,V+3=Out,V>=1,V2>=V+1] * Chain [121]: 20*s(122)+2 Such that:aux(351) =< V s(122) =< aux(351) with precondition: [V1=1,Out>=2,V2>=V+1,V+1>=Out] * Chain [120]: 20*s(142)+2 Such that:aux(352) =< V2 s(142) =< aux(352) with precondition: [V1=1,Out>=2,V>=V2+1,V2+1>=Out] * Chain [119]: 0 with precondition: [Out=0,V1>=0,V>=0,V2>=0] * Chain [118,119]: 4 with precondition: [V1=1,Out=2,V=V2,V>=1] * Chain [117,119]: 4*s(162)+5 Such that:aux(353) =< V s(162) =< aux(353) with precondition: [V1=1,V=V2,Out>=3,V+2>=Out] * Chain [116,119]: 5*s(166)+5 Such that:aux(354) =< V s(166) =< aux(354) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [115,119]: 1*s(171)+5 Such that:s(171) =< V with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [114,[86,87,106],119]: 6*it(86)+4 Such that:aux(3) =< V it(86) =< aux(3) with precondition: [V1=1,V=V2,V>=1,Out>=3,3*V+2>=Out] * Chain [114,[86,87,106],110,141]: 6*it(86)+8 Such that:aux(4) =< V2 it(86) =< aux(4) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+6>=Out] * Chain [114,[86,87,106],110,140]: 6*it(86)+9 Such that:aux(5) =< V2 it(86) =< aux(5) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,3*V+9>=Out] * Chain [114,[86,87,106],110,119]: 6*it(86)+6 Such that:aux(6) =< V2 it(86) =< aux(6) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,3*V+5>=Out] * Chain [114,[86,87,106],109,119]: 6*it(86)+6 Such that:aux(7) =< V it(86) =< aux(7) with precondition: [V1=1,V=V2,V>=1,Out>=6,3*V+5>=Out] * Chain [114,[86,87,106],108,119]: 6*it(86)+6 Such that:aux(8) =< V it(86) =< aux(8) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [114,[86,87,106],107,119]: 6*it(86)+6 Such that:aux(9) =< V it(86) =< aux(9) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [114,[86,87,106],107,110,141]: 6*it(86)+10 Such that:aux(10) =< V it(86) =< aux(10) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [114,[86,87,106],107,110,140]: 6*it(86)+11 Such that:aux(11) =< V it(86) =< aux(11) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [114,[86,87,106],107,110,119]: 6*it(86)+8 Such that:aux(12) =< V it(86) =< aux(12) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [114,[86,87,106],107,109,119]: 6*it(86)+8 Such that:aux(13) =< V it(86) =< aux(13) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [114,[86,87,106],107,105,119]: 6*it(86)+8 Such that:aux(14) =< V it(86) =< aux(14) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [114,[86,87,106],107,103,141]: 6*it(86)+10 Such that:aux(15) =< V it(86) =< aux(15) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [114,[86,87,106],107,103,140]: 6*it(86)+11 Such that:aux(16) =< V it(86) =< aux(16) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [114,[86,87,106],107,103,119]: 6*it(86)+8 Such that:aux(17) =< V it(86) =< aux(17) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],107,98,119]: 6*it(86)+8 Such that:aux(18) =< V it(86) =< aux(18) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],105,119]: 6*it(86)+6 Such that:aux(19) =< V2 it(86) =< aux(19) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,3*V+5>=Out] * Chain [114,[86,87,106],103,141]: 6*it(86)+8 Such that:aux(20) =< V2 it(86) =< aux(20) with precondition: [V1=1,V=V2,V>=1,Out>=V+4,3*V+4>=Out] * Chain [114,[86,87,106],103,140]: 6*it(86)+9 Such that:aux(21) =< V2 it(86) =< aux(21) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+7>=Out] * Chain [114,[86,87,106],103,119]: 6*it(86)+6 Such that:aux(22) =< V2 it(86) =< aux(22) with precondition: [V1=1,V=V2,V>=1,Out>=V+3,3*V+3>=Out] * Chain [114,[86,87,106],98,119]: 6*it(86)+6 Such that:aux(23) =< V it(86) =< aux(23) with precondition: [V1=1,V=V2,V>=1,Out>=4,3*V+3>=Out] * Chain [114,[86,87,106],97,119]: 6*it(86)+6 Such that:aux(24) =< V it(86) =< aux(24) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [114,[86,87,106],95,119]: 6*it(86)+6 Such that:aux(25) =< V it(86) =< aux(25) with precondition: [V1=1,V=V2,V>=2,Out>=4,3*V>=Out] * Chain [114,[86,87,106],94,119]: 6*it(86)+6 Such that:aux(26) =< V it(86) =< aux(26) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [114,[86,87,106],89,119]: 6*it(86)+6 Such that:aux(27) =< V it(86) =< aux(27) with precondition: [V1=1,V=V2,V>=2,Out>=4,3*V>=Out] * Chain [114,[86,87,106],89,110,141]: 6*it(86)+10 Such that:aux(28) =< V it(86) =< aux(28) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [114,[86,87,106],89,110,140]: 6*it(86)+11 Such that:aux(29) =< V it(86) =< aux(29) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [114,[86,87,106],89,110,119]: 6*it(86)+8 Such that:aux(30) =< V it(86) =< aux(30) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],89,109,119]: 6*it(86)+8 Such that:aux(31) =< V it(86) =< aux(31) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],89,105,119]: 6*it(86)+8 Such that:aux(32) =< V it(86) =< aux(32) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],89,103,141]: 6*it(86)+10 Such that:aux(33) =< V it(86) =< aux(33) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [114,[86,87,106],89,103,140]: 6*it(86)+11 Such that:aux(34) =< V it(86) =< aux(34) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [114,[86,87,106],89,103,119]: 6*it(86)+8 Such that:aux(35) =< V it(86) =< aux(35) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [114,[86,87,106],89,98,119]: 6*it(86)+8 Such that:aux(36) =< V it(86) =< aux(36) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [114,[86,87,106],88,119]: 6*it(86)+6 Such that:aux(37) =< V it(86) =< aux(37) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [114,[86,87,106],88,110,141]: 6*it(86)+10 Such that:aux(38) =< V it(86) =< aux(38) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [114,[86,87,106],88,110,140]: 6*it(86)+11 Such that:aux(39) =< V it(86) =< aux(39) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [114,[86,87,106],88,110,119]: 6*it(86)+8 Such that:aux(40) =< V it(86) =< aux(40) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [114,[86,87,106],88,109,119]: 6*it(86)+8 Such that:aux(41) =< V it(86) =< aux(41) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [114,[86,87,106],88,105,119]: 6*it(86)+8 Such that:aux(42) =< V it(86) =< aux(42) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [114,[86,87,106],88,103,141]: 6*it(86)+10 Such that:aux(43) =< V it(86) =< aux(43) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [114,[86,87,106],88,103,140]: 6*it(86)+11 Such that:aux(44) =< V it(86) =< aux(44) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [114,[86,87,106],88,103,119]: 6*it(86)+8 Such that:aux(45) =< V it(86) =< aux(45) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [114,[86,87,106],88,98,119]: 6*it(86)+8 Such that:aux(46) =< V it(86) =< aux(46) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],119]: 10*it(82)+4 Such that:aux(355) =< V2 it(82) =< aux(355) with precondition: [V1=1,V=V2,V>=2,Out>=4,3*V+1>=Out] * Chain [114,[82,83],[86,87,106],110,141]: 10*it(82)+8 Such that:aux(356) =< V it(82) =< aux(356) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,3*V+5>=Out] * Chain [114,[82,83],[86,87,106],110,140]: 10*it(82)+9 Such that:aux(357) =< V it(82) =< aux(357) with precondition: [V1=1,V=V2,V>=2,Out>=V+9,3*V+8>=Out] * Chain [114,[82,83],[86,87,106],110,119]: 10*it(82)+6 Such that:aux(358) =< V it(82) =< aux(358) with precondition: [V1=1,V=V2,V>=2,Out>=V+5,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],109,119]: 10*it(82)+6 Such that:aux(359) =< V2 it(82) =< aux(359) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],108,119]: 10*it(82)+6 Such that:aux(360) =< V2 it(82) =< aux(360) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [114,[82,83],[86,87,106],107,119]: 10*it(82)+6 Such that:aux(361) =< V2 it(82) =< aux(361) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [114,[82,83],[86,87,106],107,110,141]: 10*it(82)+10 Such that:aux(362) =< V2 it(82) =< aux(362) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [114,[82,83],[86,87,106],107,110,140]: 10*it(82)+11 Such that:aux(363) =< V2 it(82) =< aux(363) with precondition: [V1=1,V=V2,V>=3,Out>=14,3*V+8>=Out] * Chain [114,[82,83],[86,87,106],107,110,119]: 10*it(82)+8 Such that:aux(364) =< V2 it(82) =< aux(364) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],107,109,119]: 10*it(82)+8 Such that:aux(365) =< V2 it(82) =< aux(365) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],107,105,119]: 10*it(82)+8 Such that:aux(366) =< V2 it(82) =< aux(366) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],107,103,141]: 10*it(82)+10 Such that:aux(367) =< V2 it(82) =< aux(367) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],107,103,140]: 10*it(82)+11 Such that:aux(368) =< V2 it(82) =< aux(368) with precondition: [V1=1,V=V2,V>=3,Out>=12,3*V+6>=Out] * Chain [114,[82,83],[86,87,106],107,103,119]: 10*it(82)+8 Such that:aux(369) =< V2 it(82) =< aux(369) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],107,98,119]: 10*it(82)+8 Such that:aux(370) =< V2 it(82) =< aux(370) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],105,119]: 10*it(82)+6 Such that:aux(371) =< V it(82) =< aux(371) with precondition: [V1=1,V=V2,V>=2,Out>=V+5,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],103,141]: 10*it(82)+8 Such that:aux(372) =< V it(82) =< aux(372) with precondition: [V1=1,V=V2,V>=2,Out>=V+4,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],103,140]: 10*it(82)+9 Such that:aux(373) =< V it(82) =< aux(373) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,3*V+6>=Out] * Chain [114,[82,83],[86,87,106],103,119]: 10*it(82)+6 Such that:aux(374) =< V it(82) =< aux(374) with precondition: [V1=1,V=V2,V>=2,Out>=V+3,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],98,119]: 10*it(82)+6 Such that:aux(375) =< V2 it(82) =< aux(375) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],97,119]: 10*it(82)+6 Such that:aux(376) =< V2 it(82) =< aux(376) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [114,[82,83],[86,87,106],95,119]: 10*it(82)+6 Such that:aux(377) =< V2 it(82) =< aux(377) with precondition: [V1=1,V=V2,V>=3,Out>=5,3*V>=Out+1] * Chain [114,[82,83],[86,87,106],94,119]: 10*it(82)+6 Such that:aux(378) =< V2 it(82) =< aux(378) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [114,[82,83],[86,87,106],89,119]: 10*it(82)+6 Such that:aux(379) =< V2 it(82) =< aux(379) with precondition: [V1=1,V=V2,V>=3,Out>=5,3*V>=Out+1] * Chain [114,[82,83],[86,87,106],89,110,141]: 10*it(82)+10 Such that:aux(380) =< V2 it(82) =< aux(380) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],89,110,140]: 10*it(82)+11 Such that:aux(381) =< V2 it(82) =< aux(381) with precondition: [V1=1,V=V2,V>=3,Out>=12,3*V+6>=Out] * Chain [114,[82,83],[86,87,106],89,110,119]: 10*it(82)+8 Such that:aux(382) =< V2 it(82) =< aux(382) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],89,109,119]: 10*it(82)+8 Such that:aux(383) =< V2 it(82) =< aux(383) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],89,105,119]: 10*it(82)+8 Such that:aux(384) =< V2 it(82) =< aux(384) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],89,103,141]: 10*it(82)+10 Such that:aux(385) =< V2 it(82) =< aux(385) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [114,[82,83],[86,87,106],89,103,140]: 10*it(82)+11 Such that:aux(386) =< V2 it(82) =< aux(386) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],89,103,119]: 10*it(82)+8 Such that:aux(387) =< V2 it(82) =< aux(387) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [114,[82,83],[86,87,106],89,98,119]: 10*it(82)+8 Such that:aux(388) =< V2 it(82) =< aux(388) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [114,[82,83],[86,87,106],88,119]: 10*it(82)+6 Such that:aux(389) =< V2 it(82) =< aux(389) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [114,[82,83],[86,87,106],88,110,141]: 10*it(82)+10 Such that:aux(390) =< V2 it(82) =< aux(390) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [114,[82,83],[86,87,106],88,110,140]: 10*it(82)+11 Such that:aux(391) =< V2 it(82) =< aux(391) with precondition: [V1=1,V=V2,V>=3,Out>=13,3*V+7>=Out] * Chain [114,[82,83],[86,87,106],88,110,119]: 10*it(82)+8 Such that:aux(392) =< V2 it(82) =< aux(392) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],88,109,119]: 10*it(82)+8 Such that:aux(393) =< V2 it(82) =< aux(393) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],88,105,119]: 10*it(82)+8 Such that:aux(394) =< V2 it(82) =< aux(394) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [114,[82,83],[86,87,106],88,103,141]: 10*it(82)+10 Such that:aux(395) =< V2 it(82) =< aux(395) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [114,[82,83],[86,87,106],88,103,140]: 10*it(82)+11 Such that:aux(396) =< V2 it(82) =< aux(396) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [114,[82,83],[86,87,106],88,103,119]: 10*it(82)+8 Such that:aux(397) =< V2 it(82) =< aux(397) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [114,[82,83],[86,87,106],88,98,119]: 10*it(82)+8 Such that:aux(398) =< V2 it(82) =< aux(398) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [114,[82,83],119]: 4*it(82)+4 Such that:aux(399) =< V2 it(82) =< aux(399) with precondition: [V1=1,V=V2,V>=1,Out>=3,2*V+2>=Out] * Chain [114,[82,83],110,141]: 4*it(82)+8 Such that:aux(400) =< V it(82) =< aux(400) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,2*V+6>=Out] * Chain [114,[82,83],110,140]: 4*it(82)+9 Such that:aux(401) =< V it(82) =< aux(401) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,2*V+9>=Out] * Chain [114,[82,83],110,119]: 4*it(82)+6 Such that:aux(402) =< V it(82) =< aux(402) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,2*V+5>=Out] * Chain [114,[82,83],109,119]: 4*it(82)+6 Such that:aux(403) =< V it(82) =< aux(403) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,2*V+5>=Out] * Chain [114,[82,83],105,119]: 4*it(82)+6 Such that:aux(404) =< V it(82) =< aux(404) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,2*V+5>=Out] * Chain [114,[82,83],103,141]: 4*it(82)+8 Such that:aux(405) =< V it(82) =< aux(405) with precondition: [V1=1,V=V2,V>=1,Out>=V+4,2*V+4>=Out] * Chain [114,[82,83],103,140]: 4*it(82)+9 Such that:aux(406) =< V it(82) =< aux(406) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,2*V+7>=Out] * Chain [114,[82,83],103,119]: 4*it(82)+6 Such that:aux(407) =< V it(82) =< aux(407) with precondition: [V1=1,V=V2,V>=1,Out>=V+3,2*V+3>=Out] * Chain [114,[82,83],98,119]: 4*it(82)+6 Such that:aux(408) =< V2 it(82) =< aux(408) with precondition: [V1=1,V=V2,V>=1,Out>=4,2*V+3>=Out] * Chain [114,[82,83],97,119]: 4*it(82)+6 Such that:aux(409) =< V2 it(82) =< aux(409) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],96,119]: 4*it(82)+6 Such that:aux(410) =< V2 it(82) =< aux(410) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],95,119]: 4*it(82)+6 Such that:aux(411) =< V2 it(82) =< aux(411) with precondition: [V1=1,V=V2,V>=2,Out>=4,2*V+1>=Out] * Chain [114,[82,83],94,119]: 4*it(82)+6 Such that:aux(412) =< V2 it(82) =< aux(412) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],93,119]: 4*it(82)+6 Such that:aux(413) =< V2 it(82) =< aux(413) with precondition: [V1=1,V=V2,V>=2,Out>=4,2*V+1>=Out] * Chain [114,[82,83],92,119]: 4*it(82)+6 Such that:aux(414) =< V2 it(82) =< aux(414) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],91,119]: 4*it(82)+6 Such that:aux(415) =< V2 it(82) =< aux(415) with precondition: [V1=1,V=V2,V>=2,Out>=4,2*V+1>=Out] * Chain [114,[82,83],90,119]: 4*it(82)+6 Such that:aux(416) =< V2 it(82) =< aux(416) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],89,119]: 4*it(82)+6 Such that:aux(417) =< V2 it(82) =< aux(417) with precondition: [V1=1,V=V2,V>=2,Out>=4,2*V+1>=Out] * Chain [114,[82,83],89,110,141]: 4*it(82)+10 Such that:aux(418) =< V2 it(82) =< aux(418) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],89,110,140]: 4*it(82)+11 Such that:aux(419) =< V2 it(82) =< aux(419) with precondition: [V1=1,V=V2,V>=2,Out>=11,2*V+8>=Out] * Chain [114,[82,83],89,110,119]: 4*it(82)+8 Such that:aux(420) =< V2 it(82) =< aux(420) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],89,109,119]: 4*it(82)+8 Such that:aux(421) =< V2 it(82) =< aux(421) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],89,105,119]: 4*it(82)+8 Such that:aux(422) =< V2 it(82) =< aux(422) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],89,103,141]: 4*it(82)+10 Such that:aux(423) =< V2 it(82) =< aux(423) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],89,103,140]: 4*it(82)+11 Such that:aux(424) =< V2 it(82) =< aux(424) with precondition: [V1=1,V=V2,V>=2,Out>=9,2*V+6>=Out] * Chain [114,[82,83],89,103,119]: 4*it(82)+8 Such that:aux(425) =< V2 it(82) =< aux(425) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],89,98,119]: 4*it(82)+8 Such that:aux(426) =< V2 it(82) =< aux(426) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],88,119]: 4*it(82)+6 Such that:aux(427) =< V2 it(82) =< aux(427) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],88,110,141]: 4*it(82)+10 Such that:aux(428) =< V2 it(82) =< aux(428) with precondition: [V1=1,V=V2,V>=2,Out>=9,2*V+6>=Out] * Chain [114,[82,83],88,110,140]: 4*it(82)+11 Such that:aux(429) =< V2 it(82) =< aux(429) with precondition: [V1=1,V=V2,V>=2,Out>=12,2*V+9>=Out] * Chain [114,[82,83],88,110,119]: 4*it(82)+8 Such that:aux(430) =< V2 it(82) =< aux(430) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],88,109,119]: 4*it(82)+8 Such that:aux(431) =< V2 it(82) =< aux(431) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],88,105,119]: 4*it(82)+8 Such that:aux(432) =< V2 it(82) =< aux(432) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],88,103,141]: 4*it(82)+10 Such that:aux(433) =< V2 it(82) =< aux(433) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],88,103,140]: 4*it(82)+11 Such that:aux(434) =< V2 it(82) =< aux(434) with precondition: [V1=1,V=V2,V>=2,Out>=10,2*V+7>=Out] * Chain [114,[82,83],88,103,119]: 4*it(82)+8 Such that:aux(435) =< V2 it(82) =< aux(435) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],88,98,119]: 4*it(82)+8 Such that:aux(436) =< V2 it(82) =< aux(436) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],85,119]: 4*it(82)+6 Such that:aux(437) =< V2 it(82) =< aux(437) with precondition: [V1=1,V=V2,V>=2,Out>=4,2*V+1>=Out] * Chain [114,[82,83],85,110,141]: 4*it(82)+10 Such that:aux(438) =< V2 it(82) =< aux(438) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],85,110,140]: 4*it(82)+11 Such that:aux(439) =< V2 it(82) =< aux(439) with precondition: [V1=1,V=V2,V>=2,Out>=11,2*V+8>=Out] * Chain [114,[82,83],85,110,119]: 4*it(82)+8 Such that:aux(440) =< V2 it(82) =< aux(440) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],85,109,119]: 4*it(82)+8 Such that:aux(441) =< V it(82) =< aux(441) with precondition: [V1=1,V=V2,V>=2,Out>=V+5,2*V+4>=Out] * Chain [114,[82,83],85,105,119]: 4*it(82)+8 Such that:aux(442) =< V2 it(82) =< aux(442) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],85,104,119]: 4*it(82)+8 Such that:aux(443) =< V2 it(82) =< aux(443) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],85,103,141]: 4*it(82)+10 Such that:aux(444) =< V2 it(82) =< aux(444) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],85,103,140]: 4*it(82)+11 Such that:aux(445) =< V2 it(82) =< aux(445) with precondition: [V1=1,V=V2,V>=2,Out>=9,2*V+6>=Out] * Chain [114,[82,83],85,103,119]: 4*it(82)+8 Such that:aux(446) =< V2 it(82) =< aux(446) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],85,102,141]: 4*it(82)+10 Such that:aux(447) =< V2 it(82) =< aux(447) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],85,102,140]: 4*it(82)+11 Such that:aux(448) =< V2 it(82) =< aux(448) with precondition: [V1=1,V=V2,V>=3,Out>=10,2*V+5>=Out] * Chain [114,[82,83],85,102,119]: 4*it(82)+8 Such that:aux(449) =< V2 it(82) =< aux(449) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],85,101,141]: 4*it(82)+10 Such that:aux(450) =< V2 it(82) =< aux(450) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],85,101,140]: 4*it(82)+11 Such that:aux(451) =< V it(82) =< aux(451) with precondition: [V1=1,V=V2,V>=3,Out>=V+6,2*V+4>=Out] * Chain [114,[82,83],85,101,136]: 4*it(82)+10 Such that:aux(452) =< V2 it(82) =< aux(452) with precondition: [V1=1,V=V2,V>=4,Out>=6,2*V>=Out+1] * Chain [114,[82,83],85,101,135]: 4*it(82)+10 Such that:aux(453) =< V2 it(82) =< aux(453) with precondition: [V1=1,V=V2,V>=4,Out>=7,2*V>=Out] * Chain [114,[82,83],85,101,134]: 4*it(82)+11 Such that:aux(454) =< V2 it(82) =< aux(454) with precondition: [V1=1,V=V2,V>=4,Out>=8,2*V+1>=Out] * Chain [114,[82,83],85,101,133]: 4*it(82)+11 Such that:aux(455) =< V2 it(82) =< aux(455) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],85,101,119]: 4*it(82)+8 Such that:aux(456) =< V2 it(82) =< aux(456) with precondition: [V1=1,V=V2,V>=3,Out>=5,2*V>=Out] * Chain [114,[82,83],85,100,141]: 4*it(82)+10 Such that:aux(457) =< V2 it(82) =< aux(457) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],85,100,140]: 4*it(82)+11 Such that:aux(458) =< V it(82) =< aux(458) with precondition: [V1=1,V=V2,V>=3,Out>=V+7,2*V+5>=Out] * Chain [114,[82,83],85,100,136]: 4*it(82)+10 Such that:aux(459) =< V2 it(82) =< aux(459) with precondition: [V1=1,V=V2,V>=4,Out>=7,2*V>=Out] * Chain [114,[82,83],85,100,135]: 4*it(82)+10 Such that:aux(460) =< V2 it(82) =< aux(460) with precondition: [V1=1,V=V2,V>=4,Out>=8,2*V+1>=Out] * Chain [114,[82,83],85,100,134]: 4*it(82)+11 Such that:aux(461) =< V2 it(82) =< aux(461) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],85,100,133]: 4*it(82)+11 Such that:aux(462) =< V2 it(82) =< aux(462) with precondition: [V1=1,V=V2,V>=4,Out>=10,2*V+3>=Out] * Chain [114,[82,83],85,100,119]: 4*it(82)+8 Such that:aux(463) =< V2 it(82) =< aux(463) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],85,99,141]: 4*it(82)+10 Such that:aux(464) =< V2 it(82) =< aux(464) with precondition: [V1=1,V=V2,V>=3,Out>=8,2*V+3>=Out] * Chain [114,[82,83],85,99,140]: 4*it(82)+11 Such that:aux(465) =< V it(82) =< aux(465) with precondition: [V1=1,V=V2,V>=3,Out>=V+8,2*V+6>=Out] * Chain [114,[82,83],85,99,136]: 4*it(82)+10 Such that:aux(466) =< V2 it(82) =< aux(466) with precondition: [V1=1,V=V2,V>=4,Out>=8,2*V+1>=Out] * Chain [114,[82,83],85,99,135]: 4*it(82)+10 Such that:aux(467) =< V2 it(82) =< aux(467) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],85,99,134]: 4*it(82)+11 Such that:aux(468) =< V2 it(82) =< aux(468) with precondition: [V1=1,V=V2,V>=4,Out>=10,2*V+3>=Out] * Chain [114,[82,83],85,99,133]: 4*it(82)+11 Such that:aux(469) =< V2 it(82) =< aux(469) with precondition: [V1=1,V=V2,V>=4,Out>=11,2*V+4>=Out] * Chain [114,[82,83],85,99,119]: 4*it(82)+8 Such that:aux(470) =< V2 it(82) =< aux(470) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],85,98,119]: 4*it(82)+8 Such that:aux(471) =< V2 it(82) =< aux(471) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],85,96,119]: 4*it(82)+8 Such that:aux(472) =< V2 it(82) =< aux(472) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],85,93,119]: 4*it(82)+8 Such that:aux(473) =< V2 it(82) =< aux(473) with precondition: [V1=1,V=V2,V>=3,Out>=5,2*V>=Out] * Chain [114,[82,83],85,92,119]: 4*it(82)+8 Such that:aux(474) =< V2 it(82) =< aux(474) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],84,119]: 4*it(82)+6 Such that:aux(475) =< V2 it(82) =< aux(475) with precondition: [V1=1,V=V2,V>=2,Out>=5,2*V+2>=Out] * Chain [114,[82,83],84,110,141]: 4*it(82)+10 Such that:aux(476) =< V2 it(82) =< aux(476) with precondition: [V1=1,V=V2,V>=2,Out>=9,2*V+6>=Out] * Chain [114,[82,83],84,110,140]: 4*it(82)+11 Such that:aux(477) =< V2 it(82) =< aux(477) with precondition: [V1=1,V=V2,V>=2,Out>=12,2*V+9>=Out] * Chain [114,[82,83],84,110,119]: 4*it(82)+8 Such that:aux(478) =< V2 it(82) =< aux(478) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],84,109,119]: 4*it(82)+8 Such that:aux(479) =< V it(82) =< aux(479) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,2*V+5>=Out] * Chain [114,[82,83],84,105,119]: 4*it(82)+8 Such that:aux(480) =< V2 it(82) =< aux(480) with precondition: [V1=1,V=V2,V>=2,Out>=8,2*V+5>=Out] * Chain [114,[82,83],84,104,119]: 4*it(82)+8 Such that:aux(481) =< V2 it(82) =< aux(481) with precondition: [V1=1,V=V2,V>=3,Out>=8,2*V+3>=Out] * Chain [114,[82,83],84,103,141]: 4*it(82)+10 Such that:aux(482) =< V2 it(82) =< aux(482) with precondition: [V1=1,V=V2,V>=2,Out>=7,2*V+4>=Out] * Chain [114,[82,83],84,103,140]: 4*it(82)+11 Such that:aux(483) =< V2 it(82) =< aux(483) with precondition: [V1=1,V=V2,V>=2,Out>=10,2*V+7>=Out] * Chain [114,[82,83],84,103,119]: 4*it(82)+8 Such that:aux(484) =< V2 it(82) =< aux(484) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],84,102,141]: 4*it(82)+10 Such that:aux(485) =< V2 it(82) =< aux(485) with precondition: [V1=1,V=V2,V>=3,Out>=8,2*V+3>=Out] * Chain [114,[82,83],84,102,140]: 4*it(82)+11 Such that:aux(486) =< V2 it(82) =< aux(486) with precondition: [V1=1,V=V2,V>=3,Out>=11,2*V+6>=Out] * Chain [114,[82,83],84,102,119]: 4*it(82)+8 Such that:aux(487) =< V2 it(82) =< aux(487) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],84,101,141]: 4*it(82)+10 Such that:aux(488) =< V2 it(82) =< aux(488) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],84,101,140]: 4*it(82)+11 Such that:aux(489) =< V it(82) =< aux(489) with precondition: [V1=1,V=V2,V>=3,Out>=V+7,2*V+5>=Out] * Chain [114,[82,83],84,101,136]: 4*it(82)+10 Such that:aux(490) =< V2 it(82) =< aux(490) with precondition: [V1=1,V=V2,V>=4,Out>=7,2*V>=Out] * Chain [114,[82,83],84,101,135]: 4*it(82)+10 Such that:aux(491) =< V2 it(82) =< aux(491) with precondition: [V1=1,V=V2,V>=4,Out>=8,2*V+1>=Out] * Chain [114,[82,83],84,101,134]: 4*it(82)+11 Such that:aux(492) =< V2 it(82) =< aux(492) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],84,101,133]: 4*it(82)+11 Such that:aux(493) =< V2 it(82) =< aux(493) with precondition: [V1=1,V=V2,V>=4,Out>=10,2*V+3>=Out] * Chain [114,[82,83],84,101,119]: 4*it(82)+8 Such that:aux(494) =< V2 it(82) =< aux(494) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],84,100,141]: 4*it(82)+10 Such that:aux(495) =< V2 it(82) =< aux(495) with precondition: [V1=1,V=V2,V>=3,Out>=8,2*V+3>=Out] * Chain [114,[82,83],84,100,140]: 4*it(82)+11 Such that:aux(496) =< V it(82) =< aux(496) with precondition: [V1=1,V=V2,V>=3,Out>=V+8,2*V+6>=Out] * Chain [114,[82,83],84,100,136]: 4*it(82)+10 Such that:aux(497) =< V2 it(82) =< aux(497) with precondition: [V1=1,V=V2,V>=4,Out>=8,2*V+1>=Out] * Chain [114,[82,83],84,100,135]: 4*it(82)+10 Such that:aux(498) =< V2 it(82) =< aux(498) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],84,100,134]: 4*it(82)+11 Such that:aux(499) =< V2 it(82) =< aux(499) with precondition: [V1=1,V=V2,V>=4,Out>=10,2*V+3>=Out] * Chain [114,[82,83],84,100,133]: 4*it(82)+11 Such that:aux(500) =< V2 it(82) =< aux(500) with precondition: [V1=1,V=V2,V>=4,Out>=11,2*V+4>=Out] * Chain [114,[82,83],84,100,119]: 4*it(82)+8 Such that:aux(501) =< V2 it(82) =< aux(501) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],84,99,141]: 4*it(82)+10 Such that:aux(502) =< V2 it(82) =< aux(502) with precondition: [V1=1,V=V2,V>=3,Out>=9,2*V+4>=Out] * Chain [114,[82,83],84,99,140]: 4*it(82)+11 Such that:aux(503) =< V it(82) =< aux(503) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,2*V+7>=Out] * Chain [114,[82,83],84,99,136]: 4*it(82)+10 Such that:aux(504) =< V2 it(82) =< aux(504) with precondition: [V1=1,V=V2,V>=4,Out>=9,2*V+2>=Out] * Chain [114,[82,83],84,99,135]: 4*it(82)+10 Such that:aux(505) =< V2 it(82) =< aux(505) with precondition: [V1=1,V=V2,V>=4,Out>=10,2*V+3>=Out] * Chain [114,[82,83],84,99,134]: 4*it(82)+11 Such that:aux(506) =< V2 it(82) =< aux(506) with precondition: [V1=1,V=V2,V>=4,Out>=11,2*V+4>=Out] * Chain [114,[82,83],84,99,133]: 4*it(82)+11 Such that:aux(507) =< V2 it(82) =< aux(507) with precondition: [V1=1,V=V2,V>=4,Out>=12,2*V+5>=Out] * Chain [114,[82,83],84,99,119]: 4*it(82)+8 Such that:aux(508) =< V2 it(82) =< aux(508) with precondition: [V1=1,V=V2,V>=3,Out>=8,2*V+3>=Out] * Chain [114,[82,83],84,98,119]: 4*it(82)+8 Such that:aux(509) =< V2 it(82) =< aux(509) with precondition: [V1=1,V=V2,V>=2,Out>=6,2*V+3>=Out] * Chain [114,[82,83],84,96,119]: 4*it(82)+8 Such that:aux(510) =< V2 it(82) =< aux(510) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,[82,83],84,93,119]: 4*it(82)+8 Such that:aux(511) =< V2 it(82) =< aux(511) with precondition: [V1=1,V=V2,V>=3,Out>=6,2*V+1>=Out] * Chain [114,[82,83],84,92,119]: 4*it(82)+8 Such that:aux(512) =< V2 it(82) =< aux(512) with precondition: [V1=1,V=V2,V>=3,Out>=7,2*V+2>=Out] * Chain [114,119]: 4 with precondition: [V1=1,Out=2,V=V2,V>=1] * Chain [114,98,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,97,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,96,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,95,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,94,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,93,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,92,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,91,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,90,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,89,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,89,110,141]: 10 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,89,110,140]: 11 with precondition: [V1=1,Out=10,V=V2,V>=1] * Chain [114,89,110,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,89,109,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,89,105,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,89,103,141]: 10 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,89,103,140]: 11 with precondition: [V1=1,Out=8,V=V2,V>=1] * Chain [114,89,103,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,89,98,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,88,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,88,110,141]: 10 with precondition: [V1=1,Out=8,V=V2,V>=1] * Chain [114,88,110,140]: 11 with precondition: [V1=1,Out=11,V=V2,V>=1] * Chain [114,88,110,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,88,109,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,88,105,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,88,103,141]: 10 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,88,103,140]: 11 with precondition: [V1=1,Out=9,V=V2,V>=1] * Chain [114,88,103,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,88,98,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,85,119]: 6 with precondition: [V1=1,Out=3,V=V2,V>=1] * Chain [114,85,110,141]: 10 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,85,110,140]: 11 with precondition: [V1=1,Out=10,V=V2,V>=1] * Chain [114,85,110,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,85,109,119]: 8 with precondition: [V1=1,V=1,V2=1,Out=6] * Chain [114,85,105,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,85,104,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,85,103,141]: 10 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,85,103,140]: 11 with precondition: [V1=1,Out=8,V=V2,V>=1] * Chain [114,85,103,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,85,102,141]: 10 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,85,102,140]: 11 with precondition: [V1=1,Out=9,V=V2,V>=2] * Chain [114,85,102,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,85,101,141]: 10 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,85,101,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=8] * Chain [114,85,101,136]: 10 with precondition: [V1=1,Out=5,V=V2,V>=3] * Chain [114,85,101,135]: 10 with precondition: [V1=1,Out=6,V=V2,V>=3] * Chain [114,85,101,134]: 11 with precondition: [V1=1,Out=7,V=V2,V>=3] * Chain [114,85,101,133]: 11 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,85,101,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=2] * Chain [114,85,100,141]: 10 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,85,100,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=9] * Chain [114,85,100,136]: 10 with precondition: [V1=1,Out=6,V=V2,V>=3] * Chain [114,85,100,135]: 10 with precondition: [V1=1,Out=7,V=V2,V>=3] * Chain [114,85,100,134]: 11 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,85,100,133]: 11 with precondition: [V1=1,Out=9,V=V2,V>=3] * Chain [114,85,100,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,85,99,141]: 10 with precondition: [V1=1,Out=7,V=V2,V>=2] * Chain [114,85,99,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=10] * Chain [114,85,99,136]: 10 with precondition: [V1=1,Out=7,V=V2,V>=3] * Chain [114,85,99,135]: 10 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,85,99,134]: 11 with precondition: [V1=1,Out=9,V=V2,V>=3] * Chain [114,85,99,133]: 11 with precondition: [V1=1,Out=10,V=V2,V>=3] * Chain [114,85,99,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,85,98,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,85,96,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,85,93,119]: 8 with precondition: [V1=1,Out=4,V=V2,V>=2] * Chain [114,85,92,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,84,119]: 6 with precondition: [V1=1,Out=4,V=V2,V>=1] * Chain [114,84,110,141]: 10 with precondition: [V1=1,Out=8,V=V2,V>=1] * Chain [114,84,110,140]: 11 with precondition: [V1=1,Out=11,V=V2,V>=1] * Chain [114,84,110,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,84,109,119]: 8 with precondition: [V1=1,V=1,V2=1,Out=7] * Chain [114,84,105,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=1] * Chain [114,84,104,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=2] * Chain [114,84,103,141]: 10 with precondition: [V1=1,Out=6,V=V2,V>=1] * Chain [114,84,103,140]: 11 with precondition: [V1=1,Out=9,V=V2,V>=1] * Chain [114,84,103,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,84,102,141]: 10 with precondition: [V1=1,Out=7,V=V2,V>=2] * Chain [114,84,102,140]: 11 with precondition: [V1=1,Out=10,V=V2,V>=2] * Chain [114,84,102,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,84,101,141]: 10 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,84,101,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=9] * Chain [114,84,101,136]: 10 with precondition: [V1=1,Out=6,V=V2,V>=3] * Chain [114,84,101,135]: 10 with precondition: [V1=1,Out=7,V=V2,V>=3] * Chain [114,84,101,134]: 11 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,84,101,133]: 11 with precondition: [V1=1,Out=9,V=V2,V>=3] * Chain [114,84,101,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,84,100,141]: 10 with precondition: [V1=1,Out=7,V=V2,V>=2] * Chain [114,84,100,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=10] * Chain [114,84,100,136]: 10 with precondition: [V1=1,Out=7,V=V2,V>=3] * Chain [114,84,100,135]: 10 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,84,100,134]: 11 with precondition: [V1=1,Out=9,V=V2,V>=3] * Chain [114,84,100,133]: 11 with precondition: [V1=1,Out=10,V=V2,V>=3] * Chain [114,84,100,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,84,99,141]: 10 with precondition: [V1=1,Out=8,V=V2,V>=2] * Chain [114,84,99,140]: 11 with precondition: [V1=1,V=2,V2=2,Out=11] * Chain [114,84,99,136]: 10 with precondition: [V1=1,Out=8,V=V2,V>=3] * Chain [114,84,99,135]: 10 with precondition: [V1=1,Out=9,V=V2,V>=3] * Chain [114,84,99,134]: 11 with precondition: [V1=1,Out=10,V=V2,V>=3] * Chain [114,84,99,133]: 11 with precondition: [V1=1,Out=11,V=V2,V>=3] * Chain [114,84,99,119]: 8 with precondition: [V1=1,Out=7,V=V2,V>=2] * Chain [114,84,98,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=1] * Chain [114,84,96,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [114,84,93,119]: 8 with precondition: [V1=1,Out=5,V=V2,V>=2] * Chain [114,84,92,119]: 8 with precondition: [V1=1,Out=6,V=V2,V>=2] * Chain [113,[86,87,106],119]: 10*it(86)+5 Such that:aux(514) =< V2 it(86) =< aux(514) with precondition: [V1=1,V=V2,V>=1,Out>=4,4*V+2>=Out] * Chain [113,[86,87,106],110,141]: 10*it(86)+9 Such that:aux(515) =< V it(86) =< aux(515) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,4*V+6>=Out] * Chain [113,[86,87,106],110,140]: 10*it(86)+10 Such that:aux(516) =< V it(86) =< aux(516) with precondition: [V1=1,V=V2,V>=1,Out>=V+10,4*V+9>=Out] * Chain [113,[86,87,106],110,119]: 10*it(86)+7 Such that:aux(517) =< V it(86) =< aux(517) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,4*V+5>=Out] * Chain [113,[86,87,106],109,119]: 10*it(86)+7 Such that:aux(518) =< V2 it(86) =< aux(518) with precondition: [V1=1,V=V2,V>=1,Out>=7,4*V+5>=Out] * Chain [113,[86,87,106],108,119]: 10*it(86)+7 Such that:aux(519) =< V2 it(86) =< aux(519) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [113,[86,87,106],107,119]: 10*it(86)+7 Such that:aux(520) =< V2 it(86) =< aux(520) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [113,[86,87,106],107,110,141]: 10*it(86)+11 Such that:aux(521) =< V2 it(86) =< aux(521) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [113,[86,87,106],107,110,140]: 10*it(86)+12 Such that:aux(522) =< V2 it(86) =< aux(522) with precondition: [V1=1,V=V2,V>=2,Out>=14,4*V+9>=Out] * Chain [113,[86,87,106],107,110,119]: 10*it(86)+9 Such that:aux(523) =< V2 it(86) =< aux(523) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [113,[86,87,106],107,109,119]: 10*it(86)+9 Such that:aux(524) =< V2 it(86) =< aux(524) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [113,[86,87,106],107,105,119]: 10*it(86)+9 Such that:aux(525) =< V2 it(86) =< aux(525) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [113,[86,87,106],107,103,141]: 10*it(86)+11 Such that:aux(526) =< V2 it(86) =< aux(526) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [113,[86,87,106],107,103,140]: 10*it(86)+12 Such that:aux(527) =< V2 it(86) =< aux(527) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [113,[86,87,106],107,103,119]: 10*it(86)+9 Such that:aux(528) =< V2 it(86) =< aux(528) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],107,98,119]: 10*it(86)+9 Such that:aux(529) =< V2 it(86) =< aux(529) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],105,119]: 10*it(86)+7 Such that:aux(530) =< V it(86) =< aux(530) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,4*V+5>=Out] * Chain [113,[86,87,106],103,141]: 10*it(86)+9 Such that:aux(531) =< V it(86) =< aux(531) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,4*V+4>=Out] * Chain [113,[86,87,106],103,140]: 10*it(86)+10 Such that:aux(532) =< V it(86) =< aux(532) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,4*V+7>=Out] * Chain [113,[86,87,106],103,119]: 10*it(86)+7 Such that:aux(533) =< V it(86) =< aux(533) with precondition: [V1=1,V=V2,V>=1,Out>=V+4,4*V+3>=Out] * Chain [113,[86,87,106],98,119]: 10*it(86)+7 Such that:aux(534) =< V2 it(86) =< aux(534) with precondition: [V1=1,V=V2,V>=1,Out>=5,4*V+3>=Out] * Chain [113,[86,87,106],97,119]: 10*it(86)+7 Such that:aux(535) =< V2 it(86) =< aux(535) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [113,[86,87,106],95,119]: 10*it(86)+7 Such that:aux(536) =< V2 it(86) =< aux(536) with precondition: [V1=1,V=V2,V>=2,Out>=5,4*V>=Out] * Chain [113,[86,87,106],94,119]: 10*it(86)+7 Such that:aux(537) =< V2 it(86) =< aux(537) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [113,[86,87,106],89,119]: 10*it(86)+7 Such that:aux(538) =< V2 it(86) =< aux(538) with precondition: [V1=1,V=V2,V>=2,Out>=5,4*V>=Out] * Chain [113,[86,87,106],89,110,141]: 10*it(86)+11 Such that:aux(539) =< V2 it(86) =< aux(539) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [113,[86,87,106],89,110,140]: 10*it(86)+12 Such that:aux(540) =< V2 it(86) =< aux(540) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [113,[86,87,106],89,110,119]: 10*it(86)+9 Such that:aux(541) =< V2 it(86) =< aux(541) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],89,109,119]: 10*it(86)+9 Such that:aux(542) =< V2 it(86) =< aux(542) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],89,105,119]: 10*it(86)+9 Such that:aux(543) =< V2 it(86) =< aux(543) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],89,103,141]: 10*it(86)+11 Such that:aux(544) =< V2 it(86) =< aux(544) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [113,[86,87,106],89,103,140]: 10*it(86)+12 Such that:aux(545) =< V2 it(86) =< aux(545) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [113,[86,87,106],89,103,119]: 10*it(86)+9 Such that:aux(546) =< V2 it(86) =< aux(546) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [113,[86,87,106],89,98,119]: 10*it(86)+9 Such that:aux(547) =< V2 it(86) =< aux(547) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [113,[86,87,106],88,119]: 10*it(86)+7 Such that:aux(548) =< V2 it(86) =< aux(548) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [113,[86,87,106],88,110,141]: 10*it(86)+11 Such that:aux(549) =< V2 it(86) =< aux(549) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [113,[86,87,106],88,110,140]: 10*it(86)+12 Such that:aux(550) =< V2 it(86) =< aux(550) with precondition: [V1=1,V=V2,V>=2,Out>=13,4*V+8>=Out] * Chain [113,[86,87,106],88,110,119]: 10*it(86)+9 Such that:aux(551) =< V2 it(86) =< aux(551) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [113,[86,87,106],88,109,119]: 10*it(86)+9 Such that:aux(552) =< V2 it(86) =< aux(552) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [113,[86,87,106],88,105,119]: 10*it(86)+9 Such that:aux(553) =< V2 it(86) =< aux(553) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [113,[86,87,106],88,103,141]: 10*it(86)+11 Such that:aux(554) =< V2 it(86) =< aux(554) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [113,[86,87,106],88,103,140]: 10*it(86)+12 Such that:aux(555) =< V2 it(86) =< aux(555) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [113,[86,87,106],88,103,119]: 10*it(86)+9 Such that:aux(556) =< V2 it(86) =< aux(556) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [113,[86,87,106],88,98,119]: 10*it(86)+9 Such that:aux(557) =< V2 it(86) =< aux(557) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],119]: 14*it(82)+5 Such that:aux(558) =< V2 it(82) =< aux(558) with precondition: [V1=1,V=V2,V>=2,Out>=5,4*V+1>=Out] * Chain [113,[82,83],[86,87,106],110,141]: 14*it(82)+9 Such that:aux(559) =< V2 it(82) =< aux(559) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,4*V+5>=Out] * Chain [113,[82,83],[86,87,106],110,140]: 14*it(82)+10 Such that:aux(560) =< V2 it(82) =< aux(560) with precondition: [V1=1,V=V2,V>=2,Out>=V+10,4*V+8>=Out] * Chain [113,[82,83],[86,87,106],110,119]: 14*it(82)+7 Such that:aux(561) =< V2 it(82) =< aux(561) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],109,119]: 14*it(82)+7 Such that:aux(562) =< V2 it(82) =< aux(562) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],108,119]: 14*it(82)+7 Such that:aux(563) =< V2 it(82) =< aux(563) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [113,[82,83],[86,87,106],107,119]: 14*it(82)+7 Such that:aux(564) =< V2 it(82) =< aux(564) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [113,[82,83],[86,87,106],107,110,141]: 14*it(82)+11 Such that:aux(565) =< V2 it(82) =< aux(565) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [113,[82,83],[86,87,106],107,110,140]: 14*it(82)+12 Such that:aux(566) =< V2 it(82) =< aux(566) with precondition: [V1=1,V=V2,V>=3,Out>=15,4*V+8>=Out] * Chain [113,[82,83],[86,87,106],107,110,119]: 14*it(82)+9 Such that:aux(567) =< V2 it(82) =< aux(567) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],107,109,119]: 14*it(82)+9 Such that:aux(568) =< V2 it(82) =< aux(568) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],107,105,119]: 14*it(82)+9 Such that:aux(569) =< V2 it(82) =< aux(569) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],107,103,141]: 14*it(82)+11 Such that:aux(570) =< V2 it(82) =< aux(570) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],107,103,140]: 14*it(82)+12 Such that:aux(571) =< V2 it(82) =< aux(571) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [113,[82,83],[86,87,106],107,103,119]: 14*it(82)+9 Such that:aux(572) =< V2 it(82) =< aux(572) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],107,98,119]: 14*it(82)+9 Such that:aux(573) =< V2 it(82) =< aux(573) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],105,119]: 14*it(82)+7 Such that:aux(574) =< V2 it(82) =< aux(574) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],103,141]: 14*it(82)+9 Such that:aux(575) =< V2 it(82) =< aux(575) with precondition: [V1=1,V=V2,V>=2,Out>=V+5,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],103,140]: 14*it(82)+10 Such that:aux(576) =< V2 it(82) =< aux(576) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,4*V+6>=Out] * Chain [113,[82,83],[86,87,106],103,119]: 14*it(82)+7 Such that:aux(577) =< V2 it(82) =< aux(577) with precondition: [V1=1,V=V2,V>=2,Out>=V+4,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],98,119]: 14*it(82)+7 Such that:aux(578) =< V2 it(82) =< aux(578) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],97,119]: 14*it(82)+7 Such that:aux(579) =< V2 it(82) =< aux(579) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [113,[82,83],[86,87,106],95,119]: 14*it(82)+7 Such that:aux(580) =< V2 it(82) =< aux(580) with precondition: [V1=1,V=V2,V>=3,Out>=6,4*V>=Out+1] * Chain [113,[82,83],[86,87,106],94,119]: 14*it(82)+7 Such that:aux(581) =< V2 it(82) =< aux(581) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [113,[82,83],[86,87,106],89,119]: 14*it(82)+7 Such that:aux(582) =< V2 it(82) =< aux(582) with precondition: [V1=1,V=V2,V>=3,Out>=6,4*V>=Out+1] * Chain [113,[82,83],[86,87,106],89,110,141]: 14*it(82)+11 Such that:aux(583) =< V2 it(82) =< aux(583) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],89,110,140]: 14*it(82)+12 Such that:aux(584) =< V2 it(82) =< aux(584) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [113,[82,83],[86,87,106],89,110,119]: 14*it(82)+9 Such that:aux(585) =< V2 it(82) =< aux(585) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],89,109,119]: 14*it(82)+9 Such that:aux(586) =< V2 it(82) =< aux(586) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],89,105,119]: 14*it(82)+9 Such that:aux(587) =< V2 it(82) =< aux(587) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],89,103,141]: 14*it(82)+11 Such that:aux(588) =< V2 it(82) =< aux(588) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [113,[82,83],[86,87,106],89,103,140]: 14*it(82)+12 Such that:aux(589) =< V2 it(82) =< aux(589) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],89,103,119]: 14*it(82)+9 Such that:aux(590) =< V2 it(82) =< aux(590) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [113,[82,83],[86,87,106],89,98,119]: 14*it(82)+9 Such that:aux(591) =< V2 it(82) =< aux(591) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [113,[82,83],[86,87,106],88,119]: 14*it(82)+7 Such that:aux(592) =< V2 it(82) =< aux(592) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [113,[82,83],[86,87,106],88,110,141]: 14*it(82)+11 Such that:aux(593) =< V2 it(82) =< aux(593) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [113,[82,83],[86,87,106],88,110,140]: 14*it(82)+12 Such that:aux(594) =< V2 it(82) =< aux(594) with precondition: [V1=1,V=V2,V>=3,Out>=14,4*V+7>=Out] * Chain [113,[82,83],[86,87,106],88,110,119]: 14*it(82)+9 Such that:aux(595) =< V2 it(82) =< aux(595) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],88,109,119]: 14*it(82)+9 Such that:aux(596) =< V2 it(82) =< aux(596) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],88,105,119]: 14*it(82)+9 Such that:aux(597) =< V2 it(82) =< aux(597) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [113,[82,83],[86,87,106],88,103,141]: 14*it(82)+11 Such that:aux(598) =< V2 it(82) =< aux(598) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [113,[82,83],[86,87,106],88,103,140]: 14*it(82)+12 Such that:aux(599) =< V2 it(82) =< aux(599) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [113,[82,83],[86,87,106],88,103,119]: 14*it(82)+9 Such that:aux(600) =< V2 it(82) =< aux(600) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [113,[82,83],[86,87,106],88,98,119]: 14*it(82)+9 Such that:aux(601) =< V2 it(82) =< aux(601) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [113,[82,83],119]: 8*it(82)+5 Such that:aux(602) =< V2 it(82) =< aux(602) with precondition: [V1=1,V=V2,V>=1,Out>=4,3*V+2>=Out] * Chain [113,[82,83],110,141]: 8*it(82)+9 Such that:aux(603) =< V2 it(82) =< aux(603) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+6>=Out] * Chain [113,[82,83],110,140]: 8*it(82)+10 Such that:aux(604) =< V2 it(82) =< aux(604) with precondition: [V1=1,V=V2,V>=1,Out>=V+10,3*V+9>=Out] * Chain [113,[82,83],110,119]: 8*it(82)+7 Such that:aux(605) =< V2 it(82) =< aux(605) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+5>=Out] * Chain [113,[82,83],109,119]: 8*it(82)+7 Such that:aux(606) =< V2 it(82) =< aux(606) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+5>=Out] * Chain [113,[82,83],105,119]: 8*it(82)+7 Such that:aux(607) =< V2 it(82) =< aux(607) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+5>=Out] * Chain [113,[82,83],103,141]: 8*it(82)+9 Such that:aux(608) =< V2 it(82) =< aux(608) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,3*V+4>=Out] * Chain [113,[82,83],103,140]: 8*it(82)+10 Such that:aux(609) =< V2 it(82) =< aux(609) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,3*V+7>=Out] * Chain [113,[82,83],103,119]: 8*it(82)+7 Such that:aux(610) =< V2 it(82) =< aux(610) with precondition: [V1=1,V=V2,V>=1,Out>=V+4,3*V+3>=Out] * Chain [113,[82,83],98,119]: 8*it(82)+7 Such that:aux(611) =< V2 it(82) =< aux(611) with precondition: [V1=1,V=V2,V>=1,Out>=5,3*V+3>=Out] * Chain [113,[82,83],97,119]: 8*it(82)+7 Such that:aux(612) =< V2 it(82) =< aux(612) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],96,119]: 8*it(82)+7 Such that:aux(613) =< V2 it(82) =< aux(613) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],95,119]: 8*it(82)+7 Such that:aux(614) =< V2 it(82) =< aux(614) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [113,[82,83],94,119]: 8*it(82)+7 Such that:aux(615) =< V2 it(82) =< aux(615) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],93,119]: 8*it(82)+7 Such that:aux(616) =< V2 it(82) =< aux(616) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [113,[82,83],92,119]: 8*it(82)+7 Such that:aux(617) =< V2 it(82) =< aux(617) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],91,119]: 8*it(82)+7 Such that:aux(618) =< V2 it(82) =< aux(618) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [113,[82,83],90,119]: 8*it(82)+7 Such that:aux(619) =< V2 it(82) =< aux(619) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],89,119]: 8*it(82)+7 Such that:aux(620) =< V2 it(82) =< aux(620) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [113,[82,83],89,110,141]: 8*it(82)+11 Such that:aux(621) =< V2 it(82) =< aux(621) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],89,110,140]: 8*it(82)+12 Such that:aux(622) =< V2 it(82) =< aux(622) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [113,[82,83],89,110,119]: 8*it(82)+9 Such that:aux(623) =< V2 it(82) =< aux(623) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],89,109,119]: 8*it(82)+9 Such that:aux(624) =< V2 it(82) =< aux(624) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],89,105,119]: 8*it(82)+9 Such that:aux(625) =< V2 it(82) =< aux(625) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],89,103,141]: 8*it(82)+11 Such that:aux(626) =< V2 it(82) =< aux(626) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],89,103,140]: 8*it(82)+12 Such that:aux(627) =< V2 it(82) =< aux(627) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [113,[82,83],89,103,119]: 8*it(82)+9 Such that:aux(628) =< V2 it(82) =< aux(628) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],89,98,119]: 8*it(82)+9 Such that:aux(629) =< V2 it(82) =< aux(629) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],88,119]: 8*it(82)+7 Such that:aux(630) =< V2 it(82) =< aux(630) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],88,110,141]: 8*it(82)+11 Such that:aux(631) =< V2 it(82) =< aux(631) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [113,[82,83],88,110,140]: 8*it(82)+12 Such that:aux(632) =< V2 it(82) =< aux(632) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [113,[82,83],88,110,119]: 8*it(82)+9 Such that:aux(633) =< V2 it(82) =< aux(633) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],88,109,119]: 8*it(82)+9 Such that:aux(634) =< V2 it(82) =< aux(634) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],88,105,119]: 8*it(82)+9 Such that:aux(635) =< V2 it(82) =< aux(635) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],88,103,141]: 8*it(82)+11 Such that:aux(636) =< V2 it(82) =< aux(636) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],88,103,140]: 8*it(82)+12 Such that:aux(637) =< V2 it(82) =< aux(637) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [113,[82,83],88,103,119]: 8*it(82)+9 Such that:aux(638) =< V2 it(82) =< aux(638) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],88,98,119]: 8*it(82)+9 Such that:aux(639) =< V2 it(82) =< aux(639) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],85,119]: 8*it(82)+7 Such that:aux(640) =< V2 it(82) =< aux(640) with precondition: [V1=1,V=V2,V>=2,Out>=5,3*V+1>=Out] * Chain [113,[82,83],85,110,141]: 8*it(82)+11 Such that:aux(641) =< V2 it(82) =< aux(641) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],85,110,140]: 8*it(82)+12 Such that:aux(642) =< V2 it(82) =< aux(642) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [113,[82,83],85,110,119]: 8*it(82)+9 Such that:aux(643) =< V2 it(82) =< aux(643) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],85,109,119]: 8*it(82)+9 Such that:aux(644) =< V2 it(82) =< aux(644) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,3*V+4>=Out] * Chain [113,[82,83],85,105,119]: 8*it(82)+9 Such that:aux(645) =< V2 it(82) =< aux(645) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],85,104,119]: 8*it(82)+9 Such that:aux(646) =< V2 it(82) =< aux(646) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],85,103,141]: 8*it(82)+11 Such that:aux(647) =< V2 it(82) =< aux(647) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],85,103,140]: 8*it(82)+12 Such that:aux(648) =< V2 it(82) =< aux(648) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [113,[82,83],85,103,119]: 8*it(82)+9 Such that:aux(649) =< V2 it(82) =< aux(649) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],85,102,141]: 8*it(82)+11 Such that:aux(650) =< V2 it(82) =< aux(650) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],85,102,140]: 8*it(82)+12 Such that:aux(651) =< V2 it(82) =< aux(651) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [113,[82,83],85,102,119]: 8*it(82)+9 Such that:aux(652) =< V2 it(82) =< aux(652) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],85,101,141]: 8*it(82)+11 Such that:aux(653) =< V2 it(82) =< aux(653) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],85,101,140]: 8*it(82)+12 Such that:aux(654) =< V2 it(82) =< aux(654) with precondition: [V1=1,V=V2,V>=3,Out>=V+7,3*V+4>=Out] * Chain [113,[82,83],85,101,136]: 8*it(82)+11 Such that:aux(655) =< V2 it(82) =< aux(655) with precondition: [V1=1,V=V2,V>=4,Out>=7,3*V>=Out+1] * Chain [113,[82,83],85,101,135]: 8*it(82)+11 Such that:aux(656) =< V2 it(82) =< aux(656) with precondition: [V1=1,V=V2,V>=4,Out>=8,3*V>=Out] * Chain [113,[82,83],85,101,134]: 8*it(82)+12 Such that:aux(657) =< V2 it(82) =< aux(657) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [113,[82,83],85,101,133]: 8*it(82)+12 Such that:aux(658) =< V2 it(82) =< aux(658) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],85,101,119]: 8*it(82)+9 Such that:aux(659) =< V2 it(82) =< aux(659) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [113,[82,83],85,100,141]: 8*it(82)+11 Such that:aux(660) =< V2 it(82) =< aux(660) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],85,100,140]: 8*it(82)+12 Such that:aux(661) =< V2 it(82) =< aux(661) with precondition: [V1=1,V=V2,V>=3,Out>=V+8,3*V+5>=Out] * Chain [113,[82,83],85,100,136]: 8*it(82)+11 Such that:aux(662) =< V2 it(82) =< aux(662) with precondition: [V1=1,V=V2,V>=4,Out>=8,3*V>=Out] * Chain [113,[82,83],85,100,135]: 8*it(82)+11 Such that:aux(663) =< V2 it(82) =< aux(663) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [113,[82,83],85,100,134]: 8*it(82)+12 Such that:aux(664) =< V2 it(82) =< aux(664) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],85,100,133]: 8*it(82)+12 Such that:aux(665) =< V2 it(82) =< aux(665) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [113,[82,83],85,100,119]: 8*it(82)+9 Such that:aux(666) =< V2 it(82) =< aux(666) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],85,99,141]: 8*it(82)+11 Such that:aux(667) =< V2 it(82) =< aux(667) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [113,[82,83],85,99,140]: 8*it(82)+12 Such that:aux(668) =< V2 it(82) =< aux(668) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,3*V+6>=Out] * Chain [113,[82,83],85,99,136]: 8*it(82)+11 Such that:aux(669) =< V2 it(82) =< aux(669) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [113,[82,83],85,99,135]: 8*it(82)+11 Such that:aux(670) =< V2 it(82) =< aux(670) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],85,99,134]: 8*it(82)+12 Such that:aux(671) =< V2 it(82) =< aux(671) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [113,[82,83],85,99,133]: 8*it(82)+12 Such that:aux(672) =< V2 it(82) =< aux(672) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [113,[82,83],85,99,119]: 8*it(82)+9 Such that:aux(673) =< V2 it(82) =< aux(673) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],85,98,119]: 8*it(82)+9 Such that:aux(674) =< V2 it(82) =< aux(674) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],85,96,119]: 8*it(82)+9 Such that:aux(675) =< V2 it(82) =< aux(675) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],85,93,119]: 8*it(82)+9 Such that:aux(676) =< V2 it(82) =< aux(676) with precondition: [V1=1,V=V2,V>=3,Out>=6,3*V>=Out] * Chain [113,[82,83],85,92,119]: 8*it(82)+9 Such that:aux(677) =< V2 it(82) =< aux(677) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],84,119]: 8*it(82)+7 Such that:aux(678) =< V2 it(82) =< aux(678) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [113,[82,83],84,110,141]: 8*it(82)+11 Such that:aux(679) =< V2 it(82) =< aux(679) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [113,[82,83],84,110,140]: 8*it(82)+12 Such that:aux(680) =< V2 it(82) =< aux(680) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [113,[82,83],84,110,119]: 8*it(82)+9 Such that:aux(681) =< V2 it(82) =< aux(681) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],84,109,119]: 8*it(82)+9 Such that:aux(682) =< V2 it(82) =< aux(682) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,3*V+5>=Out] * Chain [113,[82,83],84,105,119]: 8*it(82)+9 Such that:aux(683) =< V2 it(82) =< aux(683) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [113,[82,83],84,104,119]: 8*it(82)+9 Such that:aux(684) =< V2 it(82) =< aux(684) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [113,[82,83],84,103,141]: 8*it(82)+11 Such that:aux(685) =< V2 it(82) =< aux(685) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [113,[82,83],84,103,140]: 8*it(82)+12 Such that:aux(686) =< V2 it(82) =< aux(686) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [113,[82,83],84,103,119]: 8*it(82)+9 Such that:aux(687) =< V2 it(82) =< aux(687) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],84,102,141]: 8*it(82)+11 Such that:aux(688) =< V2 it(82) =< aux(688) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [113,[82,83],84,102,140]: 8*it(82)+12 Such that:aux(689) =< V2 it(82) =< aux(689) with precondition: [V1=1,V=V2,V>=3,Out>=12,3*V+6>=Out] * Chain [113,[82,83],84,102,119]: 8*it(82)+9 Such that:aux(690) =< V2 it(82) =< aux(690) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],84,101,141]: 8*it(82)+11 Such that:aux(691) =< V2 it(82) =< aux(691) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],84,101,140]: 8*it(82)+12 Such that:aux(692) =< V2 it(82) =< aux(692) with precondition: [V1=1,V=V2,V>=3,Out>=V+8,3*V+5>=Out] * Chain [113,[82,83],84,101,136]: 8*it(82)+11 Such that:aux(693) =< V2 it(82) =< aux(693) with precondition: [V1=1,V=V2,V>=4,Out>=8,3*V>=Out] * Chain [113,[82,83],84,101,135]: 8*it(82)+11 Such that:aux(694) =< V2 it(82) =< aux(694) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [113,[82,83],84,101,134]: 8*it(82)+12 Such that:aux(695) =< V2 it(82) =< aux(695) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],84,101,133]: 8*it(82)+12 Such that:aux(696) =< V2 it(82) =< aux(696) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [113,[82,83],84,101,119]: 8*it(82)+9 Such that:aux(697) =< V2 it(82) =< aux(697) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],84,100,141]: 8*it(82)+11 Such that:aux(698) =< V2 it(82) =< aux(698) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [113,[82,83],84,100,140]: 8*it(82)+12 Such that:aux(699) =< V2 it(82) =< aux(699) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,3*V+6>=Out] * Chain [113,[82,83],84,100,136]: 8*it(82)+11 Such that:aux(700) =< V2 it(82) =< aux(700) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [113,[82,83],84,100,135]: 8*it(82)+11 Such that:aux(701) =< V2 it(82) =< aux(701) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],84,100,134]: 8*it(82)+12 Such that:aux(702) =< V2 it(82) =< aux(702) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [113,[82,83],84,100,133]: 8*it(82)+12 Such that:aux(703) =< V2 it(82) =< aux(703) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [113,[82,83],84,100,119]: 8*it(82)+9 Such that:aux(704) =< V2 it(82) =< aux(704) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],84,99,141]: 8*it(82)+11 Such that:aux(705) =< V2 it(82) =< aux(705) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [113,[82,83],84,99,140]: 8*it(82)+12 Such that:aux(706) =< V2 it(82) =< aux(706) with precondition: [V1=1,V=V2,V>=3,Out>=V+10,3*V+7>=Out] * Chain [113,[82,83],84,99,136]: 8*it(82)+11 Such that:aux(707) =< V2 it(82) =< aux(707) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [113,[82,83],84,99,135]: 8*it(82)+11 Such that:aux(708) =< V2 it(82) =< aux(708) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [113,[82,83],84,99,134]: 8*it(82)+12 Such that:aux(709) =< V2 it(82) =< aux(709) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [113,[82,83],84,99,133]: 8*it(82)+12 Such that:aux(710) =< V2 it(82) =< aux(710) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [113,[82,83],84,99,119]: 8*it(82)+9 Such that:aux(711) =< V2 it(82) =< aux(711) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [113,[82,83],84,98,119]: 8*it(82)+9 Such that:aux(712) =< V2 it(82) =< aux(712) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [113,[82,83],84,96,119]: 8*it(82)+9 Such that:aux(713) =< V2 it(82) =< aux(713) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,[82,83],84,93,119]: 8*it(82)+9 Such that:aux(714) =< V2 it(82) =< aux(714) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [113,[82,83],84,92,119]: 8*it(82)+9 Such that:aux(715) =< V2 it(82) =< aux(715) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [113,119]: 4*s(172)+5 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=3,V+2>=Out] * Chain [113,98,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,97,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,96,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,95,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,94,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,93,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,92,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,91,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,90,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,89,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,89,110,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,89,110,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [113,89,110,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,89,109,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,89,105,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,89,103,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,89,103,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [113,89,103,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,89,98,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,88,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,88,110,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [113,88,110,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [113,88,110,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,88,109,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,88,105,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,88,103,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,88,103,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [113,88,103,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,88,98,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,85,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [113,85,110,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,85,110,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [113,85,110,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,85,109,119]: 4*s(172)+9 Such that:aux(513) =< 1 s(172) =< aux(513) with precondition: [V1=1,V=1,V2=1,Out=7] * Chain [113,85,105,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,85,104,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,85,103,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,85,103,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [113,85,103,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,85,102,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,85,102,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [113,85,102,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,85,101,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,85,101,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,10>=Out,Out>=9] * Chain [113,85,101,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=6,V+5>=Out] * Chain [113,85,101,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=7,V+6>=Out] * Chain [113,85,101,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [113,85,101,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,85,101,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=5,V+4>=Out] * Chain [113,85,100,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,85,100,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,11>=Out,Out>=10] * Chain [113,85,100,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=7,V+6>=Out] * Chain [113,85,100,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [113,85,100,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,85,100,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [113,85,100,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,85,99,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [113,85,99,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,12>=Out,Out>=11] * Chain [113,85,99,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [113,85,99,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,85,99,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [113,85,99,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [113,85,99,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,85,98,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,85,96,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,85,93,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=5,V+4>=Out] * Chain [113,85,92,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,84,119]: 4*s(172)+7 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [113,84,110,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [113,84,110,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [113,84,110,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,84,109,119]: 4*s(172)+9 Such that:aux(513) =< 1 s(172) =< aux(513) with precondition: [V1=1,V=1,V2=1,Out=8] * Chain [113,84,105,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [113,84,104,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [113,84,103,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [113,84,103,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [113,84,103,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,84,102,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [113,84,102,140]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=11,V+10>=Out] * Chain [113,84,102,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,84,101,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,84,101,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,11>=Out,Out>=10] * Chain [113,84,101,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=7,V+6>=Out] * Chain [113,84,101,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [113,84,101,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,84,101,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [113,84,101,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,84,100,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [113,84,100,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,12>=Out,Out>=11] * Chain [113,84,100,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [113,84,100,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,84,100,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [113,84,100,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [113,84,100,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,84,99,141]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [113,84,99,140]: 4*s(172)+12 Such that:aux(513) =< 2 s(172) =< aux(513) with precondition: [V1=1,V=2,V2=2,13>=Out,Out>=12] * Chain [113,84,99,136]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [113,84,99,135]: 4*s(172)+11 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [113,84,99,134]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [113,84,99,133]: 4*s(172)+12 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [113,84,99,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [113,84,98,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [113,84,96,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [113,84,93,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [113,84,92,119]: 4*s(172)+9 Such that:aux(513) =< V s(172) =< aux(513) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,[86,87,106],119]: 11*it(86)+5 Such that:aux(717) =< V2 it(86) =< aux(717) with precondition: [V1=1,V=V2,V>=1,Out>=5,4*V+3>=Out] * Chain [112,[86,87,106],110,141]: 11*it(86)+9 Such that:aux(718) =< V it(86) =< aux(718) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,4*V+7>=Out] * Chain [112,[86,87,106],110,140]: 11*it(86)+10 Such that:aux(719) =< V it(86) =< aux(719) with precondition: [V1=1,V=V2,V>=1,Out>=V+11,4*V+10>=Out] * Chain [112,[86,87,106],110,119]: 11*it(86)+7 Such that:aux(720) =< V it(86) =< aux(720) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,4*V+6>=Out] * Chain [112,[86,87,106],109,119]: 11*it(86)+7 Such that:aux(721) =< V2 it(86) =< aux(721) with precondition: [V1=1,V=V2,V>=1,Out>=8,4*V+6>=Out] * Chain [112,[86,87,106],108,119]: 11*it(86)+7 Such that:aux(722) =< V2 it(86) =< aux(722) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [112,[86,87,106],107,119]: 11*it(86)+7 Such that:aux(723) =< V2 it(86) =< aux(723) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [112,[86,87,106],107,110,141]: 11*it(86)+11 Such that:aux(724) =< V2 it(86) =< aux(724) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [112,[86,87,106],107,110,140]: 11*it(86)+12 Such that:aux(725) =< V2 it(86) =< aux(725) with precondition: [V1=1,V=V2,V>=2,Out>=15,4*V+10>=Out] * Chain [112,[86,87,106],107,110,119]: 11*it(86)+9 Such that:aux(726) =< V2 it(86) =< aux(726) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [112,[86,87,106],107,109,119]: 11*it(86)+9 Such that:aux(727) =< V2 it(86) =< aux(727) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [112,[86,87,106],107,105,119]: 11*it(86)+9 Such that:aux(728) =< V2 it(86) =< aux(728) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [112,[86,87,106],107,103,141]: 11*it(86)+11 Such that:aux(729) =< V2 it(86) =< aux(729) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [112,[86,87,106],107,103,140]: 11*it(86)+12 Such that:aux(730) =< V2 it(86) =< aux(730) with precondition: [V1=1,V=V2,V>=2,Out>=13,4*V+8>=Out] * Chain [112,[86,87,106],107,103,119]: 11*it(86)+9 Such that:aux(731) =< V2 it(86) =< aux(731) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],107,98,119]: 11*it(86)+9 Such that:aux(732) =< V2 it(86) =< aux(732) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],105,119]: 11*it(86)+7 Such that:aux(733) =< V it(86) =< aux(733) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,4*V+6>=Out] * Chain [112,[86,87,106],103,141]: 11*it(86)+9 Such that:aux(734) =< V it(86) =< aux(734) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,4*V+5>=Out] * Chain [112,[86,87,106],103,140]: 11*it(86)+10 Such that:aux(735) =< V it(86) =< aux(735) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,4*V+8>=Out] * Chain [112,[86,87,106],103,119]: 11*it(86)+7 Such that:aux(736) =< V it(86) =< aux(736) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,4*V+4>=Out] * Chain [112,[86,87,106],98,119]: 11*it(86)+7 Such that:aux(737) =< V2 it(86) =< aux(737) with precondition: [V1=1,V=V2,V>=1,Out>=6,4*V+4>=Out] * Chain [112,[86,87,106],97,119]: 11*it(86)+7 Such that:aux(738) =< V2 it(86) =< aux(738) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [112,[86,87,106],95,119]: 11*it(86)+7 Such that:aux(739) =< V2 it(86) =< aux(739) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [112,[86,87,106],94,119]: 11*it(86)+7 Such that:aux(740) =< V2 it(86) =< aux(740) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [112,[86,87,106],89,119]: 11*it(86)+7 Such that:aux(741) =< V2 it(86) =< aux(741) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+1>=Out] * Chain [112,[86,87,106],89,110,141]: 11*it(86)+11 Such that:aux(742) =< V2 it(86) =< aux(742) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [112,[86,87,106],89,110,140]: 11*it(86)+12 Such that:aux(743) =< V2 it(86) =< aux(743) with precondition: [V1=1,V=V2,V>=2,Out>=13,4*V+8>=Out] * Chain [112,[86,87,106],89,110,119]: 11*it(86)+9 Such that:aux(744) =< V2 it(86) =< aux(744) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],89,109,119]: 11*it(86)+9 Such that:aux(745) =< V2 it(86) =< aux(745) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],89,105,119]: 11*it(86)+9 Such that:aux(746) =< V2 it(86) =< aux(746) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],89,103,141]: 11*it(86)+11 Such that:aux(747) =< V2 it(86) =< aux(747) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [112,[86,87,106],89,103,140]: 11*it(86)+12 Such that:aux(748) =< V2 it(86) =< aux(748) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [112,[86,87,106],89,103,119]: 11*it(86)+9 Such that:aux(749) =< V2 it(86) =< aux(749) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [112,[86,87,106],89,98,119]: 11*it(86)+9 Such that:aux(750) =< V2 it(86) =< aux(750) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [112,[86,87,106],88,119]: 11*it(86)+7 Such that:aux(751) =< V2 it(86) =< aux(751) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [112,[86,87,106],88,110,141]: 11*it(86)+11 Such that:aux(752) =< V2 it(86) =< aux(752) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [112,[86,87,106],88,110,140]: 11*it(86)+12 Such that:aux(753) =< V2 it(86) =< aux(753) with precondition: [V1=1,V=V2,V>=2,Out>=14,4*V+9>=Out] * Chain [112,[86,87,106],88,110,119]: 11*it(86)+9 Such that:aux(754) =< V2 it(86) =< aux(754) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [112,[86,87,106],88,109,119]: 11*it(86)+9 Such that:aux(755) =< V2 it(86) =< aux(755) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [112,[86,87,106],88,105,119]: 11*it(86)+9 Such that:aux(756) =< V2 it(86) =< aux(756) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [112,[86,87,106],88,103,141]: 11*it(86)+11 Such that:aux(757) =< V2 it(86) =< aux(757) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [112,[86,87,106],88,103,140]: 11*it(86)+12 Such that:aux(758) =< V2 it(86) =< aux(758) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [112,[86,87,106],88,103,119]: 11*it(86)+9 Such that:aux(759) =< V2 it(86) =< aux(759) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [112,[86,87,106],88,98,119]: 11*it(86)+9 Such that:aux(760) =< V2 it(86) =< aux(760) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],119]: 15*it(82)+5 Such that:aux(761) =< V2 it(82) =< aux(761) with precondition: [V1=1,V=V2,V>=2,Out>=6,4*V+2>=Out] * Chain [112,[82,83],[86,87,106],110,141]: 15*it(82)+9 Such that:aux(762) =< V2 it(82) =< aux(762) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,4*V+6>=Out] * Chain [112,[82,83],[86,87,106],110,140]: 15*it(82)+10 Such that:aux(763) =< V2 it(82) =< aux(763) with precondition: [V1=1,V=V2,V>=2,Out>=V+11,4*V+9>=Out] * Chain [112,[82,83],[86,87,106],110,119]: 15*it(82)+7 Such that:aux(764) =< V2 it(82) =< aux(764) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],109,119]: 15*it(82)+7 Such that:aux(765) =< V2 it(82) =< aux(765) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],108,119]: 15*it(82)+7 Such that:aux(766) =< V2 it(82) =< aux(766) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [112,[82,83],[86,87,106],107,119]: 15*it(82)+7 Such that:aux(767) =< V2 it(82) =< aux(767) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [112,[82,83],[86,87,106],107,110,141]: 15*it(82)+11 Such that:aux(768) =< V2 it(82) =< aux(768) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [112,[82,83],[86,87,106],107,110,140]: 15*it(82)+12 Such that:aux(769) =< V2 it(82) =< aux(769) with precondition: [V1=1,V=V2,V>=3,Out>=16,4*V+9>=Out] * Chain [112,[82,83],[86,87,106],107,110,119]: 15*it(82)+9 Such that:aux(770) =< V2 it(82) =< aux(770) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],107,109,119]: 15*it(82)+9 Such that:aux(771) =< V2 it(82) =< aux(771) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],107,105,119]: 15*it(82)+9 Such that:aux(772) =< V2 it(82) =< aux(772) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],107,103,141]: 15*it(82)+11 Such that:aux(773) =< V2 it(82) =< aux(773) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],107,103,140]: 15*it(82)+12 Such that:aux(774) =< V2 it(82) =< aux(774) with precondition: [V1=1,V=V2,V>=3,Out>=14,4*V+7>=Out] * Chain [112,[82,83],[86,87,106],107,103,119]: 15*it(82)+9 Such that:aux(775) =< V2 it(82) =< aux(775) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],107,98,119]: 15*it(82)+9 Such that:aux(776) =< V2 it(82) =< aux(776) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],105,119]: 15*it(82)+7 Such that:aux(777) =< V2 it(82) =< aux(777) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],103,141]: 15*it(82)+9 Such that:aux(778) =< V2 it(82) =< aux(778) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],103,140]: 15*it(82)+10 Such that:aux(779) =< V2 it(82) =< aux(779) with precondition: [V1=1,V=V2,V>=2,Out>=V+9,4*V+7>=Out] * Chain [112,[82,83],[86,87,106],103,119]: 15*it(82)+7 Such that:aux(780) =< V2 it(82) =< aux(780) with precondition: [V1=1,V=V2,V>=2,Out>=V+5,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],98,119]: 15*it(82)+7 Such that:aux(781) =< V2 it(82) =< aux(781) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],97,119]: 15*it(82)+7 Such that:aux(782) =< V2 it(82) =< aux(782) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [112,[82,83],[86,87,106],95,119]: 15*it(82)+7 Such that:aux(783) =< V2 it(82) =< aux(783) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [112,[82,83],[86,87,106],94,119]: 15*it(82)+7 Such that:aux(784) =< V2 it(82) =< aux(784) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [112,[82,83],[86,87,106],89,119]: 15*it(82)+7 Such that:aux(785) =< V2 it(82) =< aux(785) with precondition: [V1=1,V=V2,V>=3,Out>=7,4*V>=Out] * Chain [112,[82,83],[86,87,106],89,110,141]: 15*it(82)+11 Such that:aux(786) =< V2 it(82) =< aux(786) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],89,110,140]: 15*it(82)+12 Such that:aux(787) =< V2 it(82) =< aux(787) with precondition: [V1=1,V=V2,V>=3,Out>=14,4*V+7>=Out] * Chain [112,[82,83],[86,87,106],89,110,119]: 15*it(82)+9 Such that:aux(788) =< V2 it(82) =< aux(788) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],89,109,119]: 15*it(82)+9 Such that:aux(789) =< V2 it(82) =< aux(789) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],89,105,119]: 15*it(82)+9 Such that:aux(790) =< V2 it(82) =< aux(790) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],89,103,141]: 15*it(82)+11 Such that:aux(791) =< V2 it(82) =< aux(791) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [112,[82,83],[86,87,106],89,103,140]: 15*it(82)+12 Such that:aux(792) =< V2 it(82) =< aux(792) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],89,103,119]: 15*it(82)+9 Such that:aux(793) =< V2 it(82) =< aux(793) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [112,[82,83],[86,87,106],89,98,119]: 15*it(82)+9 Such that:aux(794) =< V2 it(82) =< aux(794) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [112,[82,83],[86,87,106],88,119]: 15*it(82)+7 Such that:aux(795) =< V2 it(82) =< aux(795) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [112,[82,83],[86,87,106],88,110,141]: 15*it(82)+11 Such that:aux(796) =< V2 it(82) =< aux(796) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [112,[82,83],[86,87,106],88,110,140]: 15*it(82)+12 Such that:aux(797) =< V2 it(82) =< aux(797) with precondition: [V1=1,V=V2,V>=3,Out>=15,4*V+8>=Out] * Chain [112,[82,83],[86,87,106],88,110,119]: 15*it(82)+9 Such that:aux(798) =< V2 it(82) =< aux(798) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],88,109,119]: 15*it(82)+9 Such that:aux(799) =< V2 it(82) =< aux(799) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],88,105,119]: 15*it(82)+9 Such that:aux(800) =< V2 it(82) =< aux(800) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [112,[82,83],[86,87,106],88,103,141]: 15*it(82)+11 Such that:aux(801) =< V2 it(82) =< aux(801) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [112,[82,83],[86,87,106],88,103,140]: 15*it(82)+12 Such that:aux(802) =< V2 it(82) =< aux(802) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [112,[82,83],[86,87,106],88,103,119]: 15*it(82)+9 Such that:aux(803) =< V2 it(82) =< aux(803) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [112,[82,83],[86,87,106],88,98,119]: 15*it(82)+9 Such that:aux(804) =< V2 it(82) =< aux(804) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [112,[82,83],119]: 9*it(82)+5 Such that:aux(805) =< V2 it(82) =< aux(805) with precondition: [V1=1,V=V2,V>=1,Out>=5,3*V+3>=Out] * Chain [112,[82,83],110,141]: 9*it(82)+9 Such that:aux(806) =< V2 it(82) =< aux(806) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,3*V+7>=Out] * Chain [112,[82,83],110,140]: 9*it(82)+10 Such that:aux(807) =< V2 it(82) =< aux(807) with precondition: [V1=1,V=V2,V>=1,Out>=V+11,3*V+10>=Out] * Chain [112,[82,83],110,119]: 9*it(82)+7 Such that:aux(808) =< V2 it(82) =< aux(808) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+6>=Out] * Chain [112,[82,83],109,119]: 9*it(82)+7 Such that:aux(809) =< V2 it(82) =< aux(809) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+6>=Out] * Chain [112,[82,83],105,119]: 9*it(82)+7 Such that:aux(810) =< V2 it(82) =< aux(810) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+6>=Out] * Chain [112,[82,83],103,141]: 9*it(82)+9 Such that:aux(811) =< V2 it(82) =< aux(811) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+5>=Out] * Chain [112,[82,83],103,140]: 9*it(82)+10 Such that:aux(812) =< V2 it(82) =< aux(812) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,3*V+8>=Out] * Chain [112,[82,83],103,119]: 9*it(82)+7 Such that:aux(813) =< V2 it(82) =< aux(813) with precondition: [V1=1,V=V2,V>=1,Out>=V+5,3*V+4>=Out] * Chain [112,[82,83],98,119]: 9*it(82)+7 Such that:aux(814) =< V2 it(82) =< aux(814) with precondition: [V1=1,V=V2,V>=1,Out>=6,3*V+4>=Out] * Chain [112,[82,83],97,119]: 9*it(82)+7 Such that:aux(815) =< V2 it(82) =< aux(815) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],96,119]: 9*it(82)+7 Such that:aux(816) =< V2 it(82) =< aux(816) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],95,119]: 9*it(82)+7 Such that:aux(817) =< V2 it(82) =< aux(817) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [112,[82,83],94,119]: 9*it(82)+7 Such that:aux(818) =< V2 it(82) =< aux(818) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],93,119]: 9*it(82)+7 Such that:aux(819) =< V2 it(82) =< aux(819) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [112,[82,83],92,119]: 9*it(82)+7 Such that:aux(820) =< V2 it(82) =< aux(820) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],91,119]: 9*it(82)+7 Such that:aux(821) =< V2 it(82) =< aux(821) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [112,[82,83],90,119]: 9*it(82)+7 Such that:aux(822) =< V2 it(82) =< aux(822) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],89,119]: 9*it(82)+7 Such that:aux(823) =< V2 it(82) =< aux(823) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [112,[82,83],89,110,141]: 9*it(82)+11 Such that:aux(824) =< V2 it(82) =< aux(824) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],89,110,140]: 9*it(82)+12 Such that:aux(825) =< V2 it(82) =< aux(825) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [112,[82,83],89,110,119]: 9*it(82)+9 Such that:aux(826) =< V2 it(82) =< aux(826) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],89,109,119]: 9*it(82)+9 Such that:aux(827) =< V2 it(82) =< aux(827) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],89,105,119]: 9*it(82)+9 Such that:aux(828) =< V2 it(82) =< aux(828) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],89,103,141]: 9*it(82)+11 Such that:aux(829) =< V2 it(82) =< aux(829) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],89,103,140]: 9*it(82)+12 Such that:aux(830) =< V2 it(82) =< aux(830) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [112,[82,83],89,103,119]: 9*it(82)+9 Such that:aux(831) =< V2 it(82) =< aux(831) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],89,98,119]: 9*it(82)+9 Such that:aux(832) =< V2 it(82) =< aux(832) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],88,119]: 9*it(82)+7 Such that:aux(833) =< V2 it(82) =< aux(833) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],88,110,141]: 9*it(82)+11 Such that:aux(834) =< V2 it(82) =< aux(834) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [112,[82,83],88,110,140]: 9*it(82)+12 Such that:aux(835) =< V2 it(82) =< aux(835) with precondition: [V1=1,V=V2,V>=2,Out>=14,3*V+10>=Out] * Chain [112,[82,83],88,110,119]: 9*it(82)+9 Such that:aux(836) =< V2 it(82) =< aux(836) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],88,109,119]: 9*it(82)+9 Such that:aux(837) =< V2 it(82) =< aux(837) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],88,105,119]: 9*it(82)+9 Such that:aux(838) =< V2 it(82) =< aux(838) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],88,103,141]: 9*it(82)+11 Such that:aux(839) =< V2 it(82) =< aux(839) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],88,103,140]: 9*it(82)+12 Such that:aux(840) =< V2 it(82) =< aux(840) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [112,[82,83],88,103,119]: 9*it(82)+9 Such that:aux(841) =< V2 it(82) =< aux(841) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],88,98,119]: 9*it(82)+9 Such that:aux(842) =< V2 it(82) =< aux(842) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],85,119]: 9*it(82)+7 Such that:aux(843) =< V2 it(82) =< aux(843) with precondition: [V1=1,V=V2,V>=2,Out>=6,3*V+2>=Out] * Chain [112,[82,83],85,110,141]: 9*it(82)+11 Such that:aux(844) =< V2 it(82) =< aux(844) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],85,110,140]: 9*it(82)+12 Such that:aux(845) =< V2 it(82) =< aux(845) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [112,[82,83],85,110,119]: 9*it(82)+9 Such that:aux(846) =< V2 it(82) =< aux(846) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],85,109,119]: 9*it(82)+9 Such that:aux(847) =< V2 it(82) =< aux(847) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,3*V+5>=Out] * Chain [112,[82,83],85,105,119]: 9*it(82)+9 Such that:aux(848) =< V2 it(82) =< aux(848) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],85,104,119]: 9*it(82)+9 Such that:aux(849) =< V2 it(82) =< aux(849) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],85,103,141]: 9*it(82)+11 Such that:aux(850) =< V2 it(82) =< aux(850) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],85,103,140]: 9*it(82)+12 Such that:aux(851) =< V2 it(82) =< aux(851) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [112,[82,83],85,103,119]: 9*it(82)+9 Such that:aux(852) =< V2 it(82) =< aux(852) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],85,102,141]: 9*it(82)+11 Such that:aux(853) =< V2 it(82) =< aux(853) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],85,102,140]: 9*it(82)+12 Such that:aux(854) =< V2 it(82) =< aux(854) with precondition: [V1=1,V=V2,V>=3,Out>=12,3*V+6>=Out] * Chain [112,[82,83],85,102,119]: 9*it(82)+9 Such that:aux(855) =< V2 it(82) =< aux(855) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],85,101,141]: 9*it(82)+11 Such that:aux(856) =< V2 it(82) =< aux(856) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],85,101,140]: 9*it(82)+12 Such that:aux(857) =< V2 it(82) =< aux(857) with precondition: [V1=1,V=V2,V>=3,Out>=V+8,3*V+5>=Out] * Chain [112,[82,83],85,101,136]: 9*it(82)+11 Such that:aux(858) =< V2 it(82) =< aux(858) with precondition: [V1=1,V=V2,V>=4,Out>=8,3*V>=Out] * Chain [112,[82,83],85,101,135]: 9*it(82)+11 Such that:aux(859) =< V2 it(82) =< aux(859) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [112,[82,83],85,101,134]: 9*it(82)+12 Such that:aux(860) =< V2 it(82) =< aux(860) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [112,[82,83],85,101,133]: 9*it(82)+12 Such that:aux(861) =< V2 it(82) =< aux(861) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],85,101,119]: 9*it(82)+9 Such that:aux(862) =< V2 it(82) =< aux(862) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [112,[82,83],85,100,141]: 9*it(82)+11 Such that:aux(863) =< V2 it(82) =< aux(863) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],85,100,140]: 9*it(82)+12 Such that:aux(864) =< V2 it(82) =< aux(864) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,3*V+6>=Out] * Chain [112,[82,83],85,100,136]: 9*it(82)+11 Such that:aux(865) =< V2 it(82) =< aux(865) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [112,[82,83],85,100,135]: 9*it(82)+11 Such that:aux(866) =< V2 it(82) =< aux(866) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [112,[82,83],85,100,134]: 9*it(82)+12 Such that:aux(867) =< V2 it(82) =< aux(867) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],85,100,133]: 9*it(82)+12 Such that:aux(868) =< V2 it(82) =< aux(868) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [112,[82,83],85,100,119]: 9*it(82)+9 Such that:aux(869) =< V2 it(82) =< aux(869) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],85,99,141]: 9*it(82)+11 Such that:aux(870) =< V2 it(82) =< aux(870) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [112,[82,83],85,99,140]: 9*it(82)+12 Such that:aux(871) =< V2 it(82) =< aux(871) with precondition: [V1=1,V=V2,V>=3,Out>=V+10,3*V+7>=Out] * Chain [112,[82,83],85,99,136]: 9*it(82)+11 Such that:aux(872) =< V2 it(82) =< aux(872) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [112,[82,83],85,99,135]: 9*it(82)+11 Such that:aux(873) =< V2 it(82) =< aux(873) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],85,99,134]: 9*it(82)+12 Such that:aux(874) =< V2 it(82) =< aux(874) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [112,[82,83],85,99,133]: 9*it(82)+12 Such that:aux(875) =< V2 it(82) =< aux(875) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [112,[82,83],85,99,119]: 9*it(82)+9 Such that:aux(876) =< V2 it(82) =< aux(876) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],85,98,119]: 9*it(82)+9 Such that:aux(877) =< V2 it(82) =< aux(877) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],85,96,119]: 9*it(82)+9 Such that:aux(878) =< V2 it(82) =< aux(878) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],85,93,119]: 9*it(82)+9 Such that:aux(879) =< V2 it(82) =< aux(879) with precondition: [V1=1,V=V2,V>=3,Out>=7,3*V+1>=Out] * Chain [112,[82,83],85,92,119]: 9*it(82)+9 Such that:aux(880) =< V2 it(82) =< aux(880) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],84,119]: 9*it(82)+7 Such that:aux(881) =< V2 it(82) =< aux(881) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [112,[82,83],84,110,141]: 9*it(82)+11 Such that:aux(882) =< V2 it(82) =< aux(882) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [112,[82,83],84,110,140]: 9*it(82)+12 Such that:aux(883) =< V2 it(82) =< aux(883) with precondition: [V1=1,V=V2,V>=2,Out>=14,3*V+10>=Out] * Chain [112,[82,83],84,110,119]: 9*it(82)+9 Such that:aux(884) =< V2 it(82) =< aux(884) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],84,109,119]: 9*it(82)+9 Such that:aux(885) =< V2 it(82) =< aux(885) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,3*V+6>=Out] * Chain [112,[82,83],84,105,119]: 9*it(82)+9 Such that:aux(886) =< V2 it(82) =< aux(886) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [112,[82,83],84,104,119]: 9*it(82)+9 Such that:aux(887) =< V2 it(82) =< aux(887) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [112,[82,83],84,103,141]: 9*it(82)+11 Such that:aux(888) =< V2 it(82) =< aux(888) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [112,[82,83],84,103,140]: 9*it(82)+12 Such that:aux(889) =< V2 it(82) =< aux(889) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [112,[82,83],84,103,119]: 9*it(82)+9 Such that:aux(890) =< V2 it(82) =< aux(890) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],84,102,141]: 9*it(82)+11 Such that:aux(891) =< V2 it(82) =< aux(891) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [112,[82,83],84,102,140]: 9*it(82)+12 Such that:aux(892) =< V2 it(82) =< aux(892) with precondition: [V1=1,V=V2,V>=3,Out>=13,3*V+7>=Out] * Chain [112,[82,83],84,102,119]: 9*it(82)+9 Such that:aux(893) =< V2 it(82) =< aux(893) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],84,101,141]: 9*it(82)+11 Such that:aux(894) =< V2 it(82) =< aux(894) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],84,101,140]: 9*it(82)+12 Such that:aux(895) =< V2 it(82) =< aux(895) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,3*V+6>=Out] * Chain [112,[82,83],84,101,136]: 9*it(82)+11 Such that:aux(896) =< V2 it(82) =< aux(896) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [112,[82,83],84,101,135]: 9*it(82)+11 Such that:aux(897) =< V2 it(82) =< aux(897) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [112,[82,83],84,101,134]: 9*it(82)+12 Such that:aux(898) =< V2 it(82) =< aux(898) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],84,101,133]: 9*it(82)+12 Such that:aux(899) =< V2 it(82) =< aux(899) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [112,[82,83],84,101,119]: 9*it(82)+9 Such that:aux(900) =< V2 it(82) =< aux(900) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],84,100,141]: 9*it(82)+11 Such that:aux(901) =< V2 it(82) =< aux(901) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [112,[82,83],84,100,140]: 9*it(82)+12 Such that:aux(902) =< V2 it(82) =< aux(902) with precondition: [V1=1,V=V2,V>=3,Out>=V+10,3*V+7>=Out] * Chain [112,[82,83],84,100,136]: 9*it(82)+11 Such that:aux(903) =< V2 it(82) =< aux(903) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [112,[82,83],84,100,135]: 9*it(82)+11 Such that:aux(904) =< V2 it(82) =< aux(904) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],84,100,134]: 9*it(82)+12 Such that:aux(905) =< V2 it(82) =< aux(905) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [112,[82,83],84,100,133]: 9*it(82)+12 Such that:aux(906) =< V2 it(82) =< aux(906) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [112,[82,83],84,100,119]: 9*it(82)+9 Such that:aux(907) =< V2 it(82) =< aux(907) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],84,99,141]: 9*it(82)+11 Such that:aux(908) =< V2 it(82) =< aux(908) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [112,[82,83],84,99,140]: 9*it(82)+12 Such that:aux(909) =< V2 it(82) =< aux(909) with precondition: [V1=1,V=V2,V>=3,Out>=V+11,3*V+8>=Out] * Chain [112,[82,83],84,99,136]: 9*it(82)+11 Such that:aux(910) =< V2 it(82) =< aux(910) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [112,[82,83],84,99,135]: 9*it(82)+11 Such that:aux(911) =< V2 it(82) =< aux(911) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [112,[82,83],84,99,134]: 9*it(82)+12 Such that:aux(912) =< V2 it(82) =< aux(912) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [112,[82,83],84,99,133]: 9*it(82)+12 Such that:aux(913) =< V2 it(82) =< aux(913) with precondition: [V1=1,V=V2,V>=4,Out>=14,3*V+6>=Out] * Chain [112,[82,83],84,99,119]: 9*it(82)+9 Such that:aux(914) =< V2 it(82) =< aux(914) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [112,[82,83],84,98,119]: 9*it(82)+9 Such that:aux(915) =< V2 it(82) =< aux(915) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [112,[82,83],84,96,119]: 9*it(82)+9 Such that:aux(916) =< V2 it(82) =< aux(916) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,[82,83],84,93,119]: 9*it(82)+9 Such that:aux(917) =< V2 it(82) =< aux(917) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [112,[82,83],84,92,119]: 9*it(82)+9 Such that:aux(918) =< V2 it(82) =< aux(918) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [112,119]: 5*s(176)+5 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=4,V+3>=Out] * Chain [112,98,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,97,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,96,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,95,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,94,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,93,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,92,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,91,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,90,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,89,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,89,110,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,89,110,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [112,89,110,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,89,109,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,89,105,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,89,103,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,89,103,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [112,89,103,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,89,98,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,88,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,88,110,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [112,88,110,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=13,V+12>=Out] * Chain [112,88,110,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,88,109,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,88,105,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,88,103,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,88,103,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [112,88,103,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,88,98,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,85,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [112,85,110,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,85,110,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [112,85,110,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,85,109,119]: 5*s(176)+9 Such that:aux(716) =< 1 s(176) =< aux(716) with precondition: [V1=1,V=1,V2=1,Out=8] * Chain [112,85,105,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,85,104,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,85,103,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,85,103,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [112,85,103,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,85,102,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,85,102,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=11,V+10>=Out] * Chain [112,85,102,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,85,101,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,85,101,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,11>=Out,Out>=10] * Chain [112,85,101,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=7,V+6>=Out] * Chain [112,85,101,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [112,85,101,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [112,85,101,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,85,101,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [112,85,100,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,85,100,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,12>=Out,Out>=11] * Chain [112,85,100,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [112,85,100,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [112,85,100,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,85,100,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [112,85,100,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,85,99,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [112,85,99,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,13>=Out,Out>=12] * Chain [112,85,99,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [112,85,99,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,85,99,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [112,85,99,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [112,85,99,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,85,98,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,85,96,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,85,93,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=6,V+5>=Out] * Chain [112,85,92,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,84,119]: 5*s(176)+7 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [112,84,110,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [112,84,110,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=13,V+12>=Out] * Chain [112,84,110,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,84,109,119]: 5*s(176)+9 Such that:aux(716) =< 1 s(176) =< aux(716) with precondition: [V1=1,V=1,V2=1,Out=9] * Chain [112,84,105,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [112,84,104,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [112,84,103,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [112,84,103,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [112,84,103,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,84,102,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [112,84,102,140]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=12,V+11>=Out] * Chain [112,84,102,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,84,101,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,84,101,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,12>=Out,Out>=11] * Chain [112,84,101,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [112,84,101,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [112,84,101,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,84,101,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [112,84,101,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,84,100,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [112,84,100,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,13>=Out,Out>=12] * Chain [112,84,100,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [112,84,100,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,84,100,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [112,84,100,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [112,84,100,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,84,99,141]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [112,84,99,140]: 5*s(176)+12 Such that:aux(716) =< 2 s(176) =< aux(716) with precondition: [V1=1,V=2,V2=2,14>=Out,Out>=13] * Chain [112,84,99,136]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [112,84,99,135]: 5*s(176)+11 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [112,84,99,134]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [112,84,99,133]: 5*s(176)+12 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=3,Out>=13,V+12>=Out] * Chain [112,84,99,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [112,84,98,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [112,84,96,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [112,84,93,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [112,84,92,119]: 5*s(176)+9 Such that:aux(716) =< V s(176) =< aux(716) with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,[86,87,106],119]: 7*it(86)+5 Such that:aux(919) =< V2 it(86) =< aux(919) with precondition: [V1=1,V=V2,V>=1,Out>=6,4*V+4>=Out] * Chain [111,[86,87,106],110,141]: 7*it(86)+9 Such that:aux(920) =< V it(86) =< aux(920) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,4*V+8>=Out] * Chain [111,[86,87,106],110,140]: 7*it(86)+10 Such that:aux(921) =< V it(86) =< aux(921) with precondition: [V1=1,V=V2,V>=1,Out>=V+12,4*V+11>=Out] * Chain [111,[86,87,106],110,119]: 7*it(86)+7 Such that:aux(922) =< V it(86) =< aux(922) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,4*V+7>=Out] * Chain [111,[86,87,106],109,119]: 7*it(86)+7 Such that:aux(923) =< V2 it(86) =< aux(923) with precondition: [V1=1,V=V2,V>=1,Out>=9,4*V+7>=Out] * Chain [111,[86,87,106],108,119]: 7*it(86)+7 Such that:aux(924) =< V2 it(86) =< aux(924) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [111,[86,87,106],107,119]: 7*it(86)+7 Such that:aux(925) =< V2 it(86) =< aux(925) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [111,[86,87,106],107,110,141]: 7*it(86)+11 Such that:aux(926) =< V2 it(86) =< aux(926) with precondition: [V1=1,V=V2,V>=2,Out>=13,4*V+8>=Out] * Chain [111,[86,87,106],107,110,140]: 7*it(86)+12 Such that:aux(927) =< V2 it(86) =< aux(927) with precondition: [V1=1,V=V2,V>=2,Out>=16,4*V+11>=Out] * Chain [111,[86,87,106],107,110,119]: 7*it(86)+9 Such that:aux(928) =< V2 it(86) =< aux(928) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [111,[86,87,106],107,109,119]: 7*it(86)+9 Such that:aux(929) =< V2 it(86) =< aux(929) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [111,[86,87,106],107,105,119]: 7*it(86)+9 Such that:aux(930) =< V2 it(86) =< aux(930) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [111,[86,87,106],107,103,141]: 7*it(86)+11 Such that:aux(931) =< V2 it(86) =< aux(931) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [111,[86,87,106],107,103,140]: 7*it(86)+12 Such that:aux(932) =< V2 it(86) =< aux(932) with precondition: [V1=1,V=V2,V>=2,Out>=14,4*V+9>=Out] * Chain [111,[86,87,106],107,103,119]: 7*it(86)+9 Such that:aux(933) =< V2 it(86) =< aux(933) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],107,98,119]: 7*it(86)+9 Such that:aux(934) =< V2 it(86) =< aux(934) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],105,119]: 7*it(86)+7 Such that:aux(935) =< V it(86) =< aux(935) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,4*V+7>=Out] * Chain [111,[86,87,106],103,141]: 7*it(86)+9 Such that:aux(936) =< V it(86) =< aux(936) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,4*V+6>=Out] * Chain [111,[86,87,106],103,140]: 7*it(86)+10 Such that:aux(937) =< V it(86) =< aux(937) with precondition: [V1=1,V=V2,V>=1,Out>=V+10,4*V+9>=Out] * Chain [111,[86,87,106],103,119]: 7*it(86)+7 Such that:aux(938) =< V it(86) =< aux(938) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,4*V+5>=Out] * Chain [111,[86,87,106],98,119]: 7*it(86)+7 Such that:aux(939) =< V2 it(86) =< aux(939) with precondition: [V1=1,V=V2,V>=1,Out>=7,4*V+5>=Out] * Chain [111,[86,87,106],97,119]: 7*it(86)+7 Such that:aux(940) =< V2 it(86) =< aux(940) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [111,[86,87,106],95,119]: 7*it(86)+7 Such that:aux(941) =< V2 it(86) =< aux(941) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [111,[86,87,106],94,119]: 7*it(86)+7 Such that:aux(942) =< V2 it(86) =< aux(942) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [111,[86,87,106],89,119]: 7*it(86)+7 Such that:aux(943) =< V2 it(86) =< aux(943) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+2>=Out] * Chain [111,[86,87,106],89,110,141]: 7*it(86)+11 Such that:aux(944) =< V2 it(86) =< aux(944) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [111,[86,87,106],89,110,140]: 7*it(86)+12 Such that:aux(945) =< V2 it(86) =< aux(945) with precondition: [V1=1,V=V2,V>=2,Out>=14,4*V+9>=Out] * Chain [111,[86,87,106],89,110,119]: 7*it(86)+9 Such that:aux(946) =< V2 it(86) =< aux(946) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],89,109,119]: 7*it(86)+9 Such that:aux(947) =< V2 it(86) =< aux(947) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],89,105,119]: 7*it(86)+9 Such that:aux(948) =< V2 it(86) =< aux(948) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],89,103,141]: 7*it(86)+11 Such that:aux(949) =< V2 it(86) =< aux(949) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [111,[86,87,106],89,103,140]: 7*it(86)+12 Such that:aux(950) =< V2 it(86) =< aux(950) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [111,[86,87,106],89,103,119]: 7*it(86)+9 Such that:aux(951) =< V2 it(86) =< aux(951) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [111,[86,87,106],89,98,119]: 7*it(86)+9 Such that:aux(952) =< V2 it(86) =< aux(952) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [111,[86,87,106],88,119]: 7*it(86)+7 Such that:aux(953) =< V2 it(86) =< aux(953) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+3>=Out] * Chain [111,[86,87,106],88,110,141]: 7*it(86)+11 Such that:aux(954) =< V2 it(86) =< aux(954) with precondition: [V1=1,V=V2,V>=2,Out>=12,4*V+7>=Out] * Chain [111,[86,87,106],88,110,140]: 7*it(86)+12 Such that:aux(955) =< V2 it(86) =< aux(955) with precondition: [V1=1,V=V2,V>=2,Out>=15,4*V+10>=Out] * Chain [111,[86,87,106],88,110,119]: 7*it(86)+9 Such that:aux(956) =< V2 it(86) =< aux(956) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [111,[86,87,106],88,109,119]: 7*it(86)+9 Such that:aux(957) =< V2 it(86) =< aux(957) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [111,[86,87,106],88,105,119]: 7*it(86)+9 Such that:aux(958) =< V2 it(86) =< aux(958) with precondition: [V1=1,V=V2,V>=2,Out>=11,4*V+6>=Out] * Chain [111,[86,87,106],88,103,141]: 7*it(86)+11 Such that:aux(959) =< V2 it(86) =< aux(959) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+5>=Out] * Chain [111,[86,87,106],88,103,140]: 7*it(86)+12 Such that:aux(960) =< V2 it(86) =< aux(960) with precondition: [V1=1,V=V2,V>=2,Out>=13,4*V+8>=Out] * Chain [111,[86,87,106],88,103,119]: 7*it(86)+9 Such that:aux(961) =< V2 it(86) =< aux(961) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [111,[86,87,106],88,98,119]: 7*it(86)+9 Such that:aux(962) =< V2 it(86) =< aux(962) with precondition: [V1=1,V=V2,V>=2,Out>=9,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],119]: 11*it(82)+5 Such that:aux(963) =< V2 it(82) =< aux(963) with precondition: [V1=1,V=V2,V>=2,Out>=7,4*V+3>=Out] * Chain [111,[82,83],[86,87,106],110,141]: 11*it(82)+9 Such that:aux(964) =< V2 it(82) =< aux(964) with precondition: [V1=1,V=V2,V>=2,Out>=V+9,4*V+7>=Out] * Chain [111,[82,83],[86,87,106],110,140]: 11*it(82)+10 Such that:aux(965) =< V2 it(82) =< aux(965) with precondition: [V1=1,V=V2,V>=2,Out>=V+12,4*V+10>=Out] * Chain [111,[82,83],[86,87,106],110,119]: 11*it(82)+7 Such that:aux(966) =< V2 it(82) =< aux(966) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],109,119]: 11*it(82)+7 Such that:aux(967) =< V2 it(82) =< aux(967) with precondition: [V1=1,V=V2,V>=2,Out>=10,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],108,119]: 11*it(82)+7 Such that:aux(968) =< V2 it(82) =< aux(968) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [111,[82,83],[86,87,106],107,119]: 11*it(82)+7 Such that:aux(969) =< V2 it(82) =< aux(969) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [111,[82,83],[86,87,106],107,110,141]: 11*it(82)+11 Such that:aux(970) =< V2 it(82) =< aux(970) with precondition: [V1=1,V=V2,V>=3,Out>=14,4*V+7>=Out] * Chain [111,[82,83],[86,87,106],107,110,140]: 11*it(82)+12 Such that:aux(971) =< V2 it(82) =< aux(971) with precondition: [V1=1,V=V2,V>=3,Out>=17,4*V+10>=Out] * Chain [111,[82,83],[86,87,106],107,110,119]: 11*it(82)+9 Such that:aux(972) =< V2 it(82) =< aux(972) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],107,109,119]: 11*it(82)+9 Such that:aux(973) =< V2 it(82) =< aux(973) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],107,105,119]: 11*it(82)+9 Such that:aux(974) =< V2 it(82) =< aux(974) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],107,103,141]: 11*it(82)+11 Such that:aux(975) =< V2 it(82) =< aux(975) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],107,103,140]: 11*it(82)+12 Such that:aux(976) =< V2 it(82) =< aux(976) with precondition: [V1=1,V=V2,V>=3,Out>=15,4*V+8>=Out] * Chain [111,[82,83],[86,87,106],107,103,119]: 11*it(82)+9 Such that:aux(977) =< V2 it(82) =< aux(977) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],107,98,119]: 11*it(82)+9 Such that:aux(978) =< V2 it(82) =< aux(978) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],105,119]: 11*it(82)+7 Such that:aux(979) =< V2 it(82) =< aux(979) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],103,141]: 11*it(82)+9 Such that:aux(980) =< V2 it(82) =< aux(980) with precondition: [V1=1,V=V2,V>=2,Out>=V+7,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],103,140]: 11*it(82)+10 Such that:aux(981) =< V2 it(82) =< aux(981) with precondition: [V1=1,V=V2,V>=2,Out>=V+10,4*V+8>=Out] * Chain [111,[82,83],[86,87,106],103,119]: 11*it(82)+7 Such that:aux(982) =< V2 it(82) =< aux(982) with precondition: [V1=1,V=V2,V>=2,Out>=V+6,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],98,119]: 11*it(82)+7 Such that:aux(983) =< V2 it(82) =< aux(983) with precondition: [V1=1,V=V2,V>=2,Out>=8,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],97,119]: 11*it(82)+7 Such that:aux(984) =< V2 it(82) =< aux(984) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [111,[82,83],[86,87,106],95,119]: 11*it(82)+7 Such that:aux(985) =< V2 it(82) =< aux(985) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [111,[82,83],[86,87,106],94,119]: 11*it(82)+7 Such that:aux(986) =< V2 it(82) =< aux(986) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [111,[82,83],[86,87,106],89,119]: 11*it(82)+7 Such that:aux(987) =< V2 it(82) =< aux(987) with precondition: [V1=1,V=V2,V>=3,Out>=8,4*V+1>=Out] * Chain [111,[82,83],[86,87,106],89,110,141]: 11*it(82)+11 Such that:aux(988) =< V2 it(82) =< aux(988) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],89,110,140]: 11*it(82)+12 Such that:aux(989) =< V2 it(82) =< aux(989) with precondition: [V1=1,V=V2,V>=3,Out>=15,4*V+8>=Out] * Chain [111,[82,83],[86,87,106],89,110,119]: 11*it(82)+9 Such that:aux(990) =< V2 it(82) =< aux(990) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],89,109,119]: 11*it(82)+9 Such that:aux(991) =< V2 it(82) =< aux(991) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],89,105,119]: 11*it(82)+9 Such that:aux(992) =< V2 it(82) =< aux(992) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],89,103,141]: 11*it(82)+11 Such that:aux(993) =< V2 it(82) =< aux(993) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [111,[82,83],[86,87,106],89,103,140]: 11*it(82)+12 Such that:aux(994) =< V2 it(82) =< aux(994) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],89,103,119]: 11*it(82)+9 Such that:aux(995) =< V2 it(82) =< aux(995) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [111,[82,83],[86,87,106],89,98,119]: 11*it(82)+9 Such that:aux(996) =< V2 it(82) =< aux(996) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [111,[82,83],[86,87,106],88,119]: 11*it(82)+7 Such that:aux(997) =< V2 it(82) =< aux(997) with precondition: [V1=1,V=V2,V>=3,Out>=9,4*V+2>=Out] * Chain [111,[82,83],[86,87,106],88,110,141]: 11*it(82)+11 Such that:aux(998) =< V2 it(82) =< aux(998) with precondition: [V1=1,V=V2,V>=3,Out>=13,4*V+6>=Out] * Chain [111,[82,83],[86,87,106],88,110,140]: 11*it(82)+12 Such that:aux(999) =< V2 it(82) =< aux(999) with precondition: [V1=1,V=V2,V>=3,Out>=16,4*V+9>=Out] * Chain [111,[82,83],[86,87,106],88,110,119]: 11*it(82)+9 Such that:aux(1000) =< V2 it(82) =< aux(1000) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],88,109,119]: 11*it(82)+9 Such that:aux(1001) =< V2 it(82) =< aux(1001) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],88,105,119]: 11*it(82)+9 Such that:aux(1002) =< V2 it(82) =< aux(1002) with precondition: [V1=1,V=V2,V>=3,Out>=12,4*V+5>=Out] * Chain [111,[82,83],[86,87,106],88,103,141]: 11*it(82)+11 Such that:aux(1003) =< V2 it(82) =< aux(1003) with precondition: [V1=1,V=V2,V>=3,Out>=11,4*V+4>=Out] * Chain [111,[82,83],[86,87,106],88,103,140]: 11*it(82)+12 Such that:aux(1004) =< V2 it(82) =< aux(1004) with precondition: [V1=1,V=V2,V>=3,Out>=14,4*V+7>=Out] * Chain [111,[82,83],[86,87,106],88,103,119]: 11*it(82)+9 Such that:aux(1005) =< V2 it(82) =< aux(1005) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [111,[82,83],[86,87,106],88,98,119]: 11*it(82)+9 Such that:aux(1006) =< V2 it(82) =< aux(1006) with precondition: [V1=1,V=V2,V>=3,Out>=10,4*V+3>=Out] * Chain [111,[82,83],119]: 5*it(82)+5 Such that:aux(1007) =< V2 it(82) =< aux(1007) with precondition: [V1=1,V=V2,V>=1,Out>=6,3*V+4>=Out] * Chain [111,[82,83],110,141]: 5*it(82)+9 Such that:aux(1008) =< V2 it(82) =< aux(1008) with precondition: [V1=1,V=V2,V>=1,Out>=V+9,3*V+8>=Out] * Chain [111,[82,83],110,140]: 5*it(82)+10 Such that:aux(1009) =< V2 it(82) =< aux(1009) with precondition: [V1=1,V=V2,V>=1,Out>=V+12,3*V+11>=Out] * Chain [111,[82,83],110,119]: 5*it(82)+7 Such that:aux(1010) =< V2 it(82) =< aux(1010) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,3*V+7>=Out] * Chain [111,[82,83],109,119]: 5*it(82)+7 Such that:aux(1011) =< V2 it(82) =< aux(1011) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,3*V+7>=Out] * Chain [111,[82,83],105,119]: 5*it(82)+7 Such that:aux(1012) =< V2 it(82) =< aux(1012) with precondition: [V1=1,V=V2,V>=1,Out>=V+8,3*V+7>=Out] * Chain [111,[82,83],103,141]: 5*it(82)+9 Such that:aux(1013) =< V2 it(82) =< aux(1013) with precondition: [V1=1,V=V2,V>=1,Out>=V+7,3*V+6>=Out] * Chain [111,[82,83],103,140]: 5*it(82)+10 Such that:aux(1014) =< V2 it(82) =< aux(1014) with precondition: [V1=1,V=V2,V>=1,Out>=V+10,3*V+9>=Out] * Chain [111,[82,83],103,119]: 5*it(82)+7 Such that:aux(1015) =< V2 it(82) =< aux(1015) with precondition: [V1=1,V=V2,V>=1,Out>=V+6,3*V+5>=Out] * Chain [111,[82,83],98,119]: 5*it(82)+7 Such that:aux(1016) =< V2 it(82) =< aux(1016) with precondition: [V1=1,V=V2,V>=1,Out>=7,3*V+5>=Out] * Chain [111,[82,83],97,119]: 5*it(82)+7 Such that:aux(1017) =< V2 it(82) =< aux(1017) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],96,119]: 5*it(82)+7 Such that:aux(1018) =< V2 it(82) =< aux(1018) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],95,119]: 5*it(82)+7 Such that:aux(1019) =< V2 it(82) =< aux(1019) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [111,[82,83],94,119]: 5*it(82)+7 Such that:aux(1020) =< V2 it(82) =< aux(1020) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],93,119]: 5*it(82)+7 Such that:aux(1021) =< V2 it(82) =< aux(1021) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [111,[82,83],92,119]: 5*it(82)+7 Such that:aux(1022) =< V2 it(82) =< aux(1022) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],91,119]: 5*it(82)+7 Such that:aux(1023) =< V2 it(82) =< aux(1023) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [111,[82,83],90,119]: 5*it(82)+7 Such that:aux(1024) =< V2 it(82) =< aux(1024) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],89,119]: 5*it(82)+7 Such that:aux(1025) =< V2 it(82) =< aux(1025) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [111,[82,83],89,110,141]: 5*it(82)+11 Such that:aux(1026) =< V2 it(82) =< aux(1026) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],89,110,140]: 5*it(82)+12 Such that:aux(1027) =< V2 it(82) =< aux(1027) with precondition: [V1=1,V=V2,V>=2,Out>=14,3*V+10>=Out] * Chain [111,[82,83],89,110,119]: 5*it(82)+9 Such that:aux(1028) =< V2 it(82) =< aux(1028) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],89,109,119]: 5*it(82)+9 Such that:aux(1029) =< V2 it(82) =< aux(1029) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],89,105,119]: 5*it(82)+9 Such that:aux(1030) =< V2 it(82) =< aux(1030) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],89,103,141]: 5*it(82)+11 Such that:aux(1031) =< V2 it(82) =< aux(1031) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],89,103,140]: 5*it(82)+12 Such that:aux(1032) =< V2 it(82) =< aux(1032) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [111,[82,83],89,103,119]: 5*it(82)+9 Such that:aux(1033) =< V2 it(82) =< aux(1033) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],89,98,119]: 5*it(82)+9 Such that:aux(1034) =< V2 it(82) =< aux(1034) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],88,119]: 5*it(82)+7 Such that:aux(1035) =< V2 it(82) =< aux(1035) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],88,110,141]: 5*it(82)+11 Such that:aux(1036) =< V2 it(82) =< aux(1036) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [111,[82,83],88,110,140]: 5*it(82)+12 Such that:aux(1037) =< V2 it(82) =< aux(1037) with precondition: [V1=1,V=V2,V>=2,Out>=15,3*V+11>=Out] * Chain [111,[82,83],88,110,119]: 5*it(82)+9 Such that:aux(1038) =< V2 it(82) =< aux(1038) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],88,109,119]: 5*it(82)+9 Such that:aux(1039) =< V2 it(82) =< aux(1039) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],88,105,119]: 5*it(82)+9 Such that:aux(1040) =< V2 it(82) =< aux(1040) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],88,103,141]: 5*it(82)+11 Such that:aux(1041) =< V2 it(82) =< aux(1041) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],88,103,140]: 5*it(82)+12 Such that:aux(1042) =< V2 it(82) =< aux(1042) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [111,[82,83],88,103,119]: 5*it(82)+9 Such that:aux(1043) =< V2 it(82) =< aux(1043) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],88,98,119]: 5*it(82)+9 Such that:aux(1044) =< V2 it(82) =< aux(1044) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],85,119]: 5*it(82)+7 Such that:aux(1045) =< V2 it(82) =< aux(1045) with precondition: [V1=1,V=V2,V>=2,Out>=7,3*V+3>=Out] * Chain [111,[82,83],85,110,141]: 5*it(82)+11 Such that:aux(1046) =< V2 it(82) =< aux(1046) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],85,110,140]: 5*it(82)+12 Such that:aux(1047) =< V2 it(82) =< aux(1047) with precondition: [V1=1,V=V2,V>=2,Out>=14,3*V+10>=Out] * Chain [111,[82,83],85,110,119]: 5*it(82)+9 Such that:aux(1048) =< V2 it(82) =< aux(1048) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],85,109,119]: 5*it(82)+9 Such that:aux(1049) =< V2 it(82) =< aux(1049) with precondition: [V1=1,V=V2,V>=2,Out>=V+8,3*V+6>=Out] * Chain [111,[82,83],85,105,119]: 5*it(82)+9 Such that:aux(1050) =< V2 it(82) =< aux(1050) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],85,104,119]: 5*it(82)+9 Such that:aux(1051) =< V2 it(82) =< aux(1051) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],85,103,141]: 5*it(82)+11 Such that:aux(1052) =< V2 it(82) =< aux(1052) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],85,103,140]: 5*it(82)+12 Such that:aux(1053) =< V2 it(82) =< aux(1053) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [111,[82,83],85,103,119]: 5*it(82)+9 Such that:aux(1054) =< V2 it(82) =< aux(1054) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],85,102,141]: 5*it(82)+11 Such that:aux(1055) =< V2 it(82) =< aux(1055) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],85,102,140]: 5*it(82)+12 Such that:aux(1056) =< V2 it(82) =< aux(1056) with precondition: [V1=1,V=V2,V>=3,Out>=13,3*V+7>=Out] * Chain [111,[82,83],85,102,119]: 5*it(82)+9 Such that:aux(1057) =< V2 it(82) =< aux(1057) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],85,101,141]: 5*it(82)+11 Such that:aux(1058) =< V2 it(82) =< aux(1058) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],85,101,140]: 5*it(82)+12 Such that:aux(1059) =< V2 it(82) =< aux(1059) with precondition: [V1=1,V=V2,V>=3,Out>=V+9,3*V+6>=Out] * Chain [111,[82,83],85,101,136]: 5*it(82)+11 Such that:aux(1060) =< V2 it(82) =< aux(1060) with precondition: [V1=1,V=V2,V>=4,Out>=9,3*V+1>=Out] * Chain [111,[82,83],85,101,135]: 5*it(82)+11 Such that:aux(1061) =< V2 it(82) =< aux(1061) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [111,[82,83],85,101,134]: 5*it(82)+12 Such that:aux(1062) =< V2 it(82) =< aux(1062) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [111,[82,83],85,101,133]: 5*it(82)+12 Such that:aux(1063) =< V2 it(82) =< aux(1063) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],85,101,119]: 5*it(82)+9 Such that:aux(1064) =< V2 it(82) =< aux(1064) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [111,[82,83],85,100,141]: 5*it(82)+11 Such that:aux(1065) =< V2 it(82) =< aux(1065) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],85,100,140]: 5*it(82)+12 Such that:aux(1066) =< V2 it(82) =< aux(1066) with precondition: [V1=1,V=V2,V>=3,Out>=V+10,3*V+7>=Out] * Chain [111,[82,83],85,100,136]: 5*it(82)+11 Such that:aux(1067) =< V2 it(82) =< aux(1067) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [111,[82,83],85,100,135]: 5*it(82)+11 Such that:aux(1068) =< V2 it(82) =< aux(1068) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [111,[82,83],85,100,134]: 5*it(82)+12 Such that:aux(1069) =< V2 it(82) =< aux(1069) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],85,100,133]: 5*it(82)+12 Such that:aux(1070) =< V2 it(82) =< aux(1070) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [111,[82,83],85,100,119]: 5*it(82)+9 Such that:aux(1071) =< V2 it(82) =< aux(1071) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],85,99,141]: 5*it(82)+11 Such that:aux(1072) =< V2 it(82) =< aux(1072) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [111,[82,83],85,99,140]: 5*it(82)+12 Such that:aux(1073) =< V2 it(82) =< aux(1073) with precondition: [V1=1,V=V2,V>=3,Out>=V+11,3*V+8>=Out] * Chain [111,[82,83],85,99,136]: 5*it(82)+11 Such that:aux(1074) =< V2 it(82) =< aux(1074) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [111,[82,83],85,99,135]: 5*it(82)+11 Such that:aux(1075) =< V2 it(82) =< aux(1075) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],85,99,134]: 5*it(82)+12 Such that:aux(1076) =< V2 it(82) =< aux(1076) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [111,[82,83],85,99,133]: 5*it(82)+12 Such that:aux(1077) =< V2 it(82) =< aux(1077) with precondition: [V1=1,V=V2,V>=4,Out>=14,3*V+6>=Out] * Chain [111,[82,83],85,99,119]: 5*it(82)+9 Such that:aux(1078) =< V2 it(82) =< aux(1078) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],85,98,119]: 5*it(82)+9 Such that:aux(1079) =< V2 it(82) =< aux(1079) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],85,96,119]: 5*it(82)+9 Such that:aux(1080) =< V2 it(82) =< aux(1080) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],85,93,119]: 5*it(82)+9 Such that:aux(1081) =< V2 it(82) =< aux(1081) with precondition: [V1=1,V=V2,V>=3,Out>=8,3*V+2>=Out] * Chain [111,[82,83],85,92,119]: 5*it(82)+9 Such that:aux(1082) =< V2 it(82) =< aux(1082) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],84,119]: 5*it(82)+7 Such that:aux(1083) =< V2 it(82) =< aux(1083) with precondition: [V1=1,V=V2,V>=2,Out>=8,3*V+4>=Out] * Chain [111,[82,83],84,110,141]: 5*it(82)+11 Such that:aux(1084) =< V2 it(82) =< aux(1084) with precondition: [V1=1,V=V2,V>=2,Out>=12,3*V+8>=Out] * Chain [111,[82,83],84,110,140]: 5*it(82)+12 Such that:aux(1085) =< V2 it(82) =< aux(1085) with precondition: [V1=1,V=V2,V>=2,Out>=15,3*V+11>=Out] * Chain [111,[82,83],84,110,119]: 5*it(82)+9 Such that:aux(1086) =< V2 it(82) =< aux(1086) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],84,109,119]: 5*it(82)+9 Such that:aux(1087) =< V2 it(82) =< aux(1087) with precondition: [V1=1,V=V2,V>=2,Out>=V+9,3*V+7>=Out] * Chain [111,[82,83],84,105,119]: 5*it(82)+9 Such that:aux(1088) =< V2 it(82) =< aux(1088) with precondition: [V1=1,V=V2,V>=2,Out>=11,3*V+7>=Out] * Chain [111,[82,83],84,104,119]: 5*it(82)+9 Such that:aux(1089) =< V2 it(82) =< aux(1089) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [111,[82,83],84,103,141]: 5*it(82)+11 Such that:aux(1090) =< V2 it(82) =< aux(1090) with precondition: [V1=1,V=V2,V>=2,Out>=10,3*V+6>=Out] * Chain [111,[82,83],84,103,140]: 5*it(82)+12 Such that:aux(1091) =< V2 it(82) =< aux(1091) with precondition: [V1=1,V=V2,V>=2,Out>=13,3*V+9>=Out] * Chain [111,[82,83],84,103,119]: 5*it(82)+9 Such that:aux(1092) =< V2 it(82) =< aux(1092) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],84,102,141]: 5*it(82)+11 Such that:aux(1093) =< V2 it(82) =< aux(1093) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [111,[82,83],84,102,140]: 5*it(82)+12 Such that:aux(1094) =< V2 it(82) =< aux(1094) with precondition: [V1=1,V=V2,V>=3,Out>=14,3*V+8>=Out] * Chain [111,[82,83],84,102,119]: 5*it(82)+9 Such that:aux(1095) =< V2 it(82) =< aux(1095) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],84,101,141]: 5*it(82)+11 Such that:aux(1096) =< V2 it(82) =< aux(1096) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],84,101,140]: 5*it(82)+12 Such that:aux(1097) =< V2 it(82) =< aux(1097) with precondition: [V1=1,V=V2,V>=3,Out>=V+10,3*V+7>=Out] * Chain [111,[82,83],84,101,136]: 5*it(82)+11 Such that:aux(1098) =< V2 it(82) =< aux(1098) with precondition: [V1=1,V=V2,V>=4,Out>=10,3*V+2>=Out] * Chain [111,[82,83],84,101,135]: 5*it(82)+11 Such that:aux(1099) =< V2 it(82) =< aux(1099) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [111,[82,83],84,101,134]: 5*it(82)+12 Such that:aux(1100) =< V2 it(82) =< aux(1100) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],84,101,133]: 5*it(82)+12 Such that:aux(1101) =< V2 it(82) =< aux(1101) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [111,[82,83],84,101,119]: 5*it(82)+9 Such that:aux(1102) =< V2 it(82) =< aux(1102) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],84,100,141]: 5*it(82)+11 Such that:aux(1103) =< V2 it(82) =< aux(1103) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [111,[82,83],84,100,140]: 5*it(82)+12 Such that:aux(1104) =< V2 it(82) =< aux(1104) with precondition: [V1=1,V=V2,V>=3,Out>=V+11,3*V+8>=Out] * Chain [111,[82,83],84,100,136]: 5*it(82)+11 Such that:aux(1105) =< V2 it(82) =< aux(1105) with precondition: [V1=1,V=V2,V>=4,Out>=11,3*V+3>=Out] * Chain [111,[82,83],84,100,135]: 5*it(82)+11 Such that:aux(1106) =< V2 it(82) =< aux(1106) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],84,100,134]: 5*it(82)+12 Such that:aux(1107) =< V2 it(82) =< aux(1107) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [111,[82,83],84,100,133]: 5*it(82)+12 Such that:aux(1108) =< V2 it(82) =< aux(1108) with precondition: [V1=1,V=V2,V>=4,Out>=14,3*V+6>=Out] * Chain [111,[82,83],84,100,119]: 5*it(82)+9 Such that:aux(1109) =< V2 it(82) =< aux(1109) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],84,99,141]: 5*it(82)+11 Such that:aux(1110) =< V2 it(82) =< aux(1110) with precondition: [V1=1,V=V2,V>=3,Out>=12,3*V+6>=Out] * Chain [111,[82,83],84,99,140]: 5*it(82)+12 Such that:aux(1111) =< V2 it(82) =< aux(1111) with precondition: [V1=1,V=V2,V>=3,Out>=V+12,3*V+9>=Out] * Chain [111,[82,83],84,99,136]: 5*it(82)+11 Such that:aux(1112) =< V2 it(82) =< aux(1112) with precondition: [V1=1,V=V2,V>=4,Out>=12,3*V+4>=Out] * Chain [111,[82,83],84,99,135]: 5*it(82)+11 Such that:aux(1113) =< V2 it(82) =< aux(1113) with precondition: [V1=1,V=V2,V>=4,Out>=13,3*V+5>=Out] * Chain [111,[82,83],84,99,134]: 5*it(82)+12 Such that:aux(1114) =< V2 it(82) =< aux(1114) with precondition: [V1=1,V=V2,V>=4,Out>=14,3*V+6>=Out] * Chain [111,[82,83],84,99,133]: 5*it(82)+12 Such that:aux(1115) =< V2 it(82) =< aux(1115) with precondition: [V1=1,V=V2,V>=4,Out>=15,3*V+7>=Out] * Chain [111,[82,83],84,99,119]: 5*it(82)+9 Such that:aux(1116) =< V2 it(82) =< aux(1116) with precondition: [V1=1,V=V2,V>=3,Out>=11,3*V+5>=Out] * Chain [111,[82,83],84,98,119]: 5*it(82)+9 Such that:aux(1117) =< V2 it(82) =< aux(1117) with precondition: [V1=1,V=V2,V>=2,Out>=9,3*V+5>=Out] * Chain [111,[82,83],84,96,119]: 5*it(82)+9 Such that:aux(1118) =< V2 it(82) =< aux(1118) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,[82,83],84,93,119]: 5*it(82)+9 Such that:aux(1119) =< V2 it(82) =< aux(1119) with precondition: [V1=1,V=V2,V>=3,Out>=9,3*V+3>=Out] * Chain [111,[82,83],84,92,119]: 5*it(82)+9 Such that:aux(1120) =< V2 it(82) =< aux(1120) with precondition: [V1=1,V=V2,V>=3,Out>=10,3*V+4>=Out] * Chain [111,119]: 1*s(181)+5 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=5,V+4>=Out] * Chain [111,98,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,97,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,96,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,95,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,94,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,93,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,92,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,91,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,90,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,89,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,89,110,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,89,110,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=13,V+12>=Out] * Chain [111,89,110,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,89,109,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,89,105,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,89,103,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,89,103,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [111,89,103,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,89,98,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,88,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,88,110,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [111,88,110,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=14,V+13>=Out] * Chain [111,88,110,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,88,109,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,88,105,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,88,103,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,88,103,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [111,88,103,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,88,98,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,85,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=6,V+5>=Out] * Chain [111,85,110,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,85,110,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=13,V+12>=Out] * Chain [111,85,110,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,85,109,119]: 1*s(181)+9 Such that:s(181) =< 1 with precondition: [V1=1,V=1,V2=1,Out=9] * Chain [111,85,105,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,85,104,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,85,103,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,85,103,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [111,85,103,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,85,102,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,85,102,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=12,V+11>=Out] * Chain [111,85,102,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,85,101,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,85,101,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,12>=Out,Out>=11] * Chain [111,85,101,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=8,V+7>=Out] * Chain [111,85,101,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [111,85,101,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [111,85,101,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,85,101,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [111,85,100,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,85,100,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,13>=Out,Out>=12] * Chain [111,85,100,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [111,85,100,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [111,85,100,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,85,100,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [111,85,100,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,85,99,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [111,85,99,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,14>=Out,Out>=13] * Chain [111,85,99,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [111,85,99,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,85,99,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [111,85,99,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=13,V+12>=Out] * Chain [111,85,99,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,85,98,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,85,96,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,85,93,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=7,V+6>=Out] * Chain [111,85,92,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,84,119]: 1*s(181)+7 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=7,V+6>=Out] * Chain [111,84,110,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=11,V+10>=Out] * Chain [111,84,110,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=14,V+13>=Out] * Chain [111,84,110,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,84,109,119]: 1*s(181)+9 Such that:s(181) =< 1 with precondition: [V1=1,V=1,V2=1,Out=10] * Chain [111,84,105,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=10,V+9>=Out] * Chain [111,84,104,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [111,84,103,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=9,V+8>=Out] * Chain [111,84,103,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=12,V+11>=Out] * Chain [111,84,103,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,84,102,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [111,84,102,140]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=13,V+12>=Out] * Chain [111,84,102,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,84,101,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,84,101,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,13>=Out,Out>=12] * Chain [111,84,101,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=9,V+8>=Out] * Chain [111,84,101,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [111,84,101,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,84,101,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [111,84,101,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,84,100,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [111,84,100,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,14>=Out,Out>=13] * Chain [111,84,100,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=10,V+9>=Out] * Chain [111,84,100,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,84,100,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [111,84,100,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=13,V+12>=Out] * Chain [111,84,100,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,84,99,141]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=11,V+10>=Out] * Chain [111,84,99,140]: 1*s(181)+12 Such that:s(181) =< 2 with precondition: [V1=1,V=2,V2=2,15>=Out,Out>=14] * Chain [111,84,99,136]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=11,V+10>=Out] * Chain [111,84,99,135]: 1*s(181)+11 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=12,V+11>=Out] * Chain [111,84,99,134]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=13,V+12>=Out] * Chain [111,84,99,133]: 1*s(181)+12 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=3,Out>=14,V+13>=Out] * Chain [111,84,99,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=10,V+9>=Out] * Chain [111,84,98,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,Out>=8,V+7>=Out] * Chain [111,84,96,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [111,84,93,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=8,V+7>=Out] * Chain [111,84,92,119]: 1*s(181)+9 Such that:s(181) =< V with precondition: [V1=1,V=V2,V>=2,Out>=9,V+8>=Out] * Chain [110,141]: 4 with precondition: [V1=2,V2=0,Out=4,V>=0] * Chain [110,140]: 5 with precondition: [V1=2,V2=0,Out=7,V>=0] * Chain [110,119]: 2 with precondition: [V1=2,V2=0,Out=3,V>=0] * Chain [109,119]: 2 with precondition: [V1=2,V=0,Out=3,V2>=0] * Chain [108,119]: 2 with precondition: [V1=2,V=0,Out=3,V2>=1] * Chain [107,119]: 2 with precondition: [V1=2,V=0,Out=3,V2>=1] * Chain [107,110,141]: 6 with precondition: [V1=2,V=0,Out=7,V2>=1] * Chain [107,110,140]: 7 with precondition: [V1=2,V=0,Out=10,V2>=1] * Chain [107,110,119]: 4 with precondition: [V1=2,V=0,Out=6,V2>=1] * Chain [107,109,119]: 4 with precondition: [V1=2,V=0,Out=6,V2>=1] * Chain [107,105,119]: 4 with precondition: [V1=2,V=0,Out=6,V2>=1] * Chain [107,103,141]: 6 with precondition: [V1=2,V=0,Out=5,V2>=1] * Chain [107,103,140]: 7 with precondition: [V1=2,V=0,Out=8,V2>=1] * Chain [107,103,119]: 4 with precondition: [V1=2,V=0,Out=4,V2>=1] * Chain [107,98,119]: 4 with precondition: [V1=2,V=0,Out=4,V2>=1] * Chain [105,119]: 2 with precondition: [V1=2,V2=0,Out=3,V>=0] * Chain [104,119]: 2 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [103,141]: 4 with precondition: [V1=2,V2=0,Out=2,V>=0] * Chain [103,140]: 5 with precondition: [V1=2,V2=0,Out=5,V>=0] * Chain [103,119]: 2 with precondition: [V1=2,V2=0,Out=1,V>=0] * Chain [102,141]: 4 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [102,140]: 5 with precondition: [V1=2,V2=0,Out=6,V>=1] * Chain [102,119]: 2 with precondition: [V1=2,V2=0,Out=2,V>=1] * Chain [101,141]: 4 with precondition: [V1=2,V2=0,Out=2,V>=1] * Chain [101,140]: 5 with precondition: [V1=2,V=1,V2=0,Out=5] * Chain [101,136]: 4 with precondition: [V1=2,V2=0,Out=2,V>=2] * Chain [101,135]: 4 with precondition: [V1=2,V2=0,Out=3,V>=2] * Chain [101,134]: 5 with precondition: [V1=2,V2=0,Out=4,V>=2] * Chain [101,133]: 5 with precondition: [V1=2,V2=0,Out=5,V>=2] * Chain [101,119]: 2 with precondition: [V1=2,V2=0,Out=1,V>=1] * Chain [100,141]: 4 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [100,140]: 5 with precondition: [V1=2,V=1,V2=0,Out=6] * Chain [100,136]: 4 with precondition: [V1=2,V2=0,Out=3,V>=2] * Chain [100,135]: 4 with precondition: [V1=2,V2=0,Out=4,V>=2] * Chain [100,134]: 5 with precondition: [V1=2,V2=0,Out=5,V>=2] * Chain [100,133]: 5 with precondition: [V1=2,V2=0,Out=6,V>=2] * Chain [100,119]: 2 with precondition: [V1=2,V2=0,Out=2,V>=1] * Chain [99,141]: 4 with precondition: [V1=2,V2=0,Out=4,V>=1] * Chain [99,140]: 5 with precondition: [V1=2,V=1,V2=0,Out=7] * Chain [99,136]: 4 with precondition: [V1=2,V2=0,Out=4,V>=2] * Chain [99,135]: 4 with precondition: [V1=2,V2=0,Out=5,V>=2] * Chain [99,134]: 5 with precondition: [V1=2,V2=0,Out=6,V>=2] * Chain [99,133]: 5 with precondition: [V1=2,V2=0,Out=7,V>=2] * Chain [99,119]: 2 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [98,119]: 2 with precondition: [V1=2,Out=1,V>=0,V2>=0] * Chain [97,119]: 2 with precondition: [V1=2,Out=2,V>=0,V2>=1] * Chain [96,119]: 2 with precondition: [V1=2,Out=2,V>=1,V2>=0] * Chain [95,119]: 2 with precondition: [V1=2,Out=1,V>=0,V2>=1] * Chain [94,119]: 2 with precondition: [V1=2,Out=2,V>=0,V2>=1] * Chain [93,119]: 2 with precondition: [V1=2,Out=1,V>=1,V2>=0] * Chain [92,119]: 2 with precondition: [V1=2,Out=2,V>=1,V2>=0] * Chain [91,119]: 2 with precondition: [V1=2,Out=1,V>=1,V2>=1] * Chain [90,119]: 2 with precondition: [V1=2,Out=2,V>=1,V2>=1] * Chain [89,119]: 2 with precondition: [V1=2,Out=1,V>=0,V2>=1] * Chain [89,110,141]: 6 with precondition: [V1=2,Out=5,V>=0,V2>=1] * Chain [89,110,140]: 7 with precondition: [V1=2,Out=8,V>=0,V2>=1] * Chain [89,110,119]: 4 with precondition: [V1=2,Out=4,V>=0,V2>=1] * Chain [89,109,119]: 4 with precondition: [V1=2,Out=4,V>=0,V2>=1] * Chain [89,105,119]: 4 with precondition: [V1=2,Out=4,V>=0,V2>=1] * Chain [89,103,141]: 6 with precondition: [V1=2,Out=3,V>=0,V2>=1] * Chain [89,103,140]: 7 with precondition: [V1=2,Out=6,V>=0,V2>=1] * Chain [89,103,119]: 4 with precondition: [V1=2,Out=2,V>=0,V2>=1] * Chain [89,98,119]: 4 with precondition: [V1=2,Out=2,V>=0,V2>=1] * Chain [88,119]: 2 with precondition: [V1=2,Out=2,V>=0,V2>=1] * Chain [88,110,141]: 6 with precondition: [V1=2,Out=6,V>=0,V2>=1] * Chain [88,110,140]: 7 with precondition: [V1=2,Out=9,V>=0,V2>=1] * Chain [88,110,119]: 4 with precondition: [V1=2,Out=5,V>=0,V2>=1] * Chain [88,109,119]: 4 with precondition: [V1=2,Out=5,V>=0,V2>=1] * Chain [88,105,119]: 4 with precondition: [V1=2,Out=5,V>=0,V2>=1] * Chain [88,103,141]: 6 with precondition: [V1=2,Out=4,V>=0,V2>=1] * Chain [88,103,140]: 7 with precondition: [V1=2,Out=7,V>=0,V2>=1] * Chain [88,103,119]: 4 with precondition: [V1=2,Out=3,V>=0,V2>=1] * Chain [88,98,119]: 4 with precondition: [V1=2,Out=3,V>=0,V2>=1] * Chain [85,119]: 2 with precondition: [V1=2,Out=1,V>=1,V2>=1] * Chain [85,110,141]: 6 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [85,110,140]: 7 with precondition: [V1=2,Out=8,V>=1,V2>=1] * Chain [85,110,119]: 4 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [85,109,119]: 4 with precondition: [V1=2,V=1,Out=4,V2>=1] * Chain [85,105,119]: 4 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [85,104,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [85,103,141]: 6 with precondition: [V1=2,Out=3,V>=1,V2>=1] * Chain [85,103,140]: 7 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [85,103,119]: 4 with precondition: [V1=2,Out=2,V>=1,V2>=1] * Chain [85,102,141]: 6 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [85,102,140]: 7 with precondition: [V1=2,Out=7,V>=2,V2>=1] * Chain [85,102,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [85,101,141]: 6 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [85,101,140]: 7 with precondition: [V1=2,V=2,Out=6,V2>=1] * Chain [85,101,136]: 6 with precondition: [V1=2,Out=3,V>=3,V2>=1] * Chain [85,101,135]: 6 with precondition: [V1=2,Out=4,V>=3,V2>=1] * Chain [85,101,134]: 7 with precondition: [V1=2,Out=5,V>=3,V2>=1] * Chain [85,101,133]: 7 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [85,101,119]: 4 with precondition: [V1=2,Out=2,V>=2,V2>=1] * Chain [85,100,141]: 6 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [85,100,140]: 7 with precondition: [V1=2,V=2,Out=7,V2>=1] * Chain [85,100,136]: 6 with precondition: [V1=2,Out=4,V>=3,V2>=1] * Chain [85,100,135]: 6 with precondition: [V1=2,Out=5,V>=3,V2>=1] * Chain [85,100,134]: 7 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [85,100,133]: 7 with precondition: [V1=2,Out=7,V>=3,V2>=1] * Chain [85,100,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [85,99,141]: 6 with precondition: [V1=2,Out=5,V>=2,V2>=1] * Chain [85,99,140]: 7 with precondition: [V1=2,V=2,Out=8,V2>=1] * Chain [85,99,136]: 6 with precondition: [V1=2,Out=5,V>=3,V2>=1] * Chain [85,99,135]: 6 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [85,99,134]: 7 with precondition: [V1=2,Out=7,V>=3,V2>=1] * Chain [85,99,133]: 7 with precondition: [V1=2,Out=8,V>=3,V2>=1] * Chain [85,99,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [85,98,119]: 4 with precondition: [V1=2,Out=2,V>=1,V2>=1] * Chain [85,96,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [85,93,119]: 4 with precondition: [V1=2,Out=2,V>=2,V2>=1] * Chain [85,92,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [84,119]: 2 with precondition: [V1=2,Out=2,V>=1,V2>=1] * Chain [84,110,141]: 6 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [84,110,140]: 7 with precondition: [V1=2,Out=9,V>=1,V2>=1] * Chain [84,110,119]: 4 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [84,109,119]: 4 with precondition: [V1=2,V=1,Out=5,V2>=1] * Chain [84,105,119]: 4 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [84,104,119]: 4 with precondition: [V1=2,Out=5,V>=2,V2>=1] * Chain [84,103,141]: 6 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [84,103,140]: 7 with precondition: [V1=2,Out=7,V>=1,V2>=1] * Chain [84,103,119]: 4 with precondition: [V1=2,Out=3,V>=1,V2>=1] * Chain [84,102,141]: 6 with precondition: [V1=2,Out=5,V>=2,V2>=1] * Chain [84,102,140]: 7 with precondition: [V1=2,Out=8,V>=2,V2>=1] * Chain [84,102,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [84,101,141]: 6 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [84,101,140]: 7 with precondition: [V1=2,V=2,Out=7,V2>=1] * Chain [84,101,136]: 6 with precondition: [V1=2,Out=4,V>=3,V2>=1] * Chain [84,101,135]: 6 with precondition: [V1=2,Out=5,V>=3,V2>=1] * Chain [84,101,134]: 7 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [84,101,133]: 7 with precondition: [V1=2,Out=7,V>=3,V2>=1] * Chain [84,101,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [84,100,141]: 6 with precondition: [V1=2,Out=5,V>=2,V2>=1] * Chain [84,100,140]: 7 with precondition: [V1=2,V=2,Out=8,V2>=1] * Chain [84,100,136]: 6 with precondition: [V1=2,Out=5,V>=3,V2>=1] * Chain [84,100,135]: 6 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [84,100,134]: 7 with precondition: [V1=2,Out=7,V>=3,V2>=1] * Chain [84,100,133]: 7 with precondition: [V1=2,Out=8,V>=3,V2>=1] * Chain [84,100,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [84,99,141]: 6 with precondition: [V1=2,Out=6,V>=2,V2>=1] * Chain [84,99,140]: 7 with precondition: [V1=2,V=2,Out=9,V2>=1] * Chain [84,99,136]: 6 with precondition: [V1=2,Out=6,V>=3,V2>=1] * Chain [84,99,135]: 6 with precondition: [V1=2,Out=7,V>=3,V2>=1] * Chain [84,99,134]: 7 with precondition: [V1=2,Out=8,V>=3,V2>=1] * Chain [84,99,133]: 7 with precondition: [V1=2,Out=9,V>=3,V2>=1] * Chain [84,99,119]: 4 with precondition: [V1=2,Out=5,V>=2,V2>=1] * Chain [84,98,119]: 4 with precondition: [V1=2,Out=3,V>=1,V2>=1] * Chain [84,96,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] * Chain [84,93,119]: 4 with precondition: [V1=2,Out=3,V>=2,V2>=1] * Chain [84,92,119]: 4 with precondition: [V1=2,Out=4,V>=2,V2>=1] #### Cost of chains of start(V1,V,V2): * Chain [150]: 2*s(3049)+2*s(3050)+1*s(3051)+1 Such that:s(3051) =< V1+2 aux(1169) =< V aux(1170) =< V+1 s(3050) =< aux(1169) s(3049) =< aux(1170) with precondition: [V1>=0] * Chain [149]: 36*s(3055)+32*s(3058)+36*s(3061)+52*s(3067)+4 Such that:aux(1171) =< V aux(1172) =< V+2 aux(1173) =< V2 aux(1174) =< V2+1 s(3058) =< aux(1171) s(3055) =< aux(1172) s(3067) =< aux(1173) s(3061) =< aux(1174) with precondition: [V1=1,V>=0] * Chain [148]: 7628*s(3074)+20*s(3080)+47*s(3107)+27*s(3124)+38 Such that:aux(1184) =< V aux(1185) =< 1 aux(1186) =< 2 aux(1187) =< V2 s(3080) =< aux(1185) s(3107) =< aux(1186) s(3074) =< aux(1187) s(3124) =< aux(1184) with precondition: [V1=1,V=V2,V>=1] * Chain [147]: 3 with precondition: [V1=1,V2=0,V>=1] * Chain [146]: 2292*s(3148)+1584*s(3149)+36*s(3175)+9 Such that:aux(1188) =< V aux(1189) =< V2 aux(1190) =< V2+1 s(3148) =< aux(1188) s(3148) =< aux(1189) s(3149) =< aux(1189) s(3175) =< aux(1190) s(3175) =< aux(1189) with precondition: [V1=2,V>=0,V2>=0] * Chain [145]: 6 with precondition: [V=1,V1>=0] * Chain [144]: 9 with precondition: [V1=V,V1>=1] * Chain [143]: 6 with precondition: [V1=2,V2=0,V>=0] * Chain [142]: 1 with precondition: [V=0,V1>=1] Closed-form bounds of start(V1,V,V2): ------------------------------------- * Chain [150] with precondition: [V1>=0] - Upper bound: nat(V)*2+1+(V1+2)+nat(V+1)*2 - Complexity: n * Chain [149] with precondition: [V1=1,V>=0] - Upper bound: 32*V+4+nat(V2)*52+(36*V+72)+nat(V2+1)*36 - Complexity: n * Chain [148] with precondition: [V1=1,V=V2,V>=1] - Upper bound: 27*V+7628*V2+152 - Complexity: n * Chain [147] with precondition: [V1=1,V2=0,V>=1] - Upper bound: 3 - Complexity: constant * Chain [146] with precondition: [V1=2,V>=0,V2>=0] - Upper bound: 2292*V+1620*V2+45 - Complexity: n * Chain [145] with precondition: [V=1,V1>=0] - Upper bound: 6 - Complexity: constant * Chain [144] with precondition: [V1=V,V1>=1] - Upper bound: 9 - Complexity: constant * Chain [143] with precondition: [V1=2,V2=0,V>=0] - Upper bound: 6 - Complexity: constant * Chain [142] with precondition: [V=0,V1>=1] - Upper bound: 1 - Complexity: constant ### Maximum cost of start(V1,V,V2): max([8,nat(V)*2+max([V1+2+nat(V+1)*2,nat(V)*25+3+nat(V2)*52+max([nat(V2)*7576+148,nat(V2+1)*36+nat(V)*5+max([nat(V+2)*36,nat(V)*2260+5+nat(V2)*1532])])])])+1 Asymptotic class: n * Total analysis performed in 34651 ms. ---------------------------------------- (12) BOUNDS(1, n^1) ---------------------------------------- (13) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (14) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) GR(0, z0) -> c6 GR(s(z0), 0) -> c7 GR(s(z0), s(z1)) -> c8(GR(z0, z1)) P(0) -> c9 P(s(z0)) -> c10 EQ(0, 0) -> c11 EQ(s(z0), 0) -> c12 EQ(0, s(z0)) -> c13 EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) AND(true, true) -> c15 AND(false, z0) -> c16 AND(z0, false) -> c17 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) gr(0, z0) -> false gr(s(z0), 0) -> true gr(s(z0), s(z1)) -> gr(z0, z1) p(0) -> 0 p(s(z0)) -> z0 eq(0, 0) -> true eq(s(z0), 0) -> false eq(0, s(z0)) -> false eq(s(z0), s(z1)) -> eq(z0, z1) and(true, true) -> true and(false, z0) -> false and(z0, false) -> false Rewrite Strategy: INNERMOST ---------------------------------------- (15) DecreasingLoopProof (LOWER BOUND(ID)) The following loop(s) give(s) rise to the lower bound Omega(n^1): The rewrite sequence EQ(s(z0), s(z1)) ->^+ c14(EQ(z0, z1)) gives rise to a decreasing loop by considering the right hand sides subterm at position [0]. The pumping substitution is [z0 / s(z0), z1 / s(z1)]. The result substitution is [ ]. ---------------------------------------- (16) Complex Obligation (BEST) ---------------------------------------- (17) Obligation: Proved the lower bound n^1 for the following obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) GR(0, z0) -> c6 GR(s(z0), 0) -> c7 GR(s(z0), s(z1)) -> c8(GR(z0, z1)) P(0) -> c9 P(s(z0)) -> c10 EQ(0, 0) -> c11 EQ(s(z0), 0) -> c12 EQ(0, s(z0)) -> c13 EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) AND(true, true) -> c15 AND(false, z0) -> c16 AND(z0, false) -> c17 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) gr(0, z0) -> false gr(s(z0), 0) -> true gr(s(z0), s(z1)) -> gr(z0, z1) p(0) -> 0 p(s(z0)) -> z0 eq(0, 0) -> true eq(s(z0), 0) -> false eq(0, s(z0)) -> false eq(s(z0), s(z1)) -> eq(z0, z1) and(true, true) -> true and(false, z0) -> false and(z0, false) -> false Rewrite Strategy: INNERMOST ---------------------------------------- (18) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (19) BOUNDS(n^1, INF) ---------------------------------------- (20) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^1). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z1, 0), z0, z1), GR(z1, 0)) COND2(true, z0, z1) -> c1(COND2(gr(z1, 0), p(z0), p(z1)), GR(z1, 0)) COND2(true, z0, z1) -> c2(COND2(gr(z1, 0), p(z0), p(z1)), P(z0)) COND2(true, z0, z1) -> c3(COND2(gr(z1, 0), p(z0), p(z1)), P(z1)) COND2(false, z0, z1) -> c4(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), EQ(z0, z1)) COND2(false, z0, z1) -> c5(COND1(and(eq(z0, z1), gr(z0, 0)), z0, z1), AND(eq(z0, z1), gr(z0, 0)), GR(z0, 0)) GR(0, z0) -> c6 GR(s(z0), 0) -> c7 GR(s(z0), s(z1)) -> c8(GR(z0, z1)) P(0) -> c9 P(s(z0)) -> c10 EQ(0, 0) -> c11 EQ(s(z0), 0) -> c12 EQ(0, s(z0)) -> c13 EQ(s(z0), s(z1)) -> c14(EQ(z0, z1)) AND(true, true) -> c15 AND(false, z0) -> c16 AND(z0, false) -> c17 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z1, 0), z0, z1) cond2(true, z0, z1) -> cond2(gr(z1, 0), p(z0), p(z1)) cond2(false, z0, z1) -> cond1(and(eq(z0, z1), gr(z0, 0)), z0, z1) gr(0, z0) -> false gr(s(z0), 0) -> true gr(s(z0), s(z1)) -> gr(z0, z1) p(0) -> 0 p(s(z0)) -> z0 eq(0, 0) -> true eq(s(z0), 0) -> false eq(0, s(z0)) -> false eq(s(z0), s(z1)) -> eq(z0, z1) and(true, true) -> true and(false, z0) -> false and(z0, false) -> false Rewrite Strategy: INNERMOST