WORST_CASE(Omega(n^1),O(n^2)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, n^2). (0) CpxRelTRS (1) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 1257 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), 0 ms] (10) CpxRNTS (11) CompleteCoflocoProof [FINISHED, 27.9 s] (12) BOUNDS(1, n^2) (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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) GR(0, z0) -> c4 GR(s(z0), 0) -> c5 GR(s(z0), s(z1)) -> c6(GR(z0, z1)) P(0) -> c7 P(s(z0)) -> c8 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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 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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) GR(0, z0) -> c4 GR(s(z0), 0) -> c5 GR(s(z0), s(z1)) -> c6(GR(z0, z1)) P(0) -> c7 P(s(z0)) -> c8 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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 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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) [1] COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) [1] GR(0, z0) -> c4 [1] GR(s(z0), 0) -> c5 [1] GR(s(z0), s(z1)) -> c6(GR(z0, z1)) [1] P(0) -> c7 [1] P(s(z0)) -> c8 [1] cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) [0] cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) [0] cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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] 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(z0, z1), z0, z1), GR(z0, z1)) [1] COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) [1] GR(0, z0) -> c4 [1] GR(s(z0), 0) -> c5 [1] GR(s(z0), s(z1)) -> c6(GR(z0, z1)) [1] P(0) -> c7 [1] P(s(z0)) -> c8 [1] cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) [0] cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) [0] cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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] 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 -> c COND2 :: true:false -> 0:s -> 0:s -> c1:c2:c3 gr :: 0:s -> 0:s -> true:false GR :: 0:s -> 0:s -> c4:c5:c6 c1 :: c -> c4:c5:c6 -> c1:c2:c3 0 :: 0:s false :: true:false c2 :: c -> c4:c5:c6 -> c1:c2:c3 p :: 0:s -> 0:s c3 :: c -> c7:c8 -> c1:c2:c3 P :: 0:s -> c7:c8 c4 :: c4:c5:c6 s :: 0:s -> 0:s c5 :: c4:c5:c6 c6 :: c4:c5:c6 -> c4:c5:c6 c7 :: c7:c8 c8 :: c7:c8 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] 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] And the following fresh constants: null_cond1, null_cond2, null_gr, null_p, null_COND1, null_COND2, null_GR, null_P ---------------------------------------- (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(z0, z1), z0, z1), GR(z0, z1)) [1] COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) [1] COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) [1] GR(0, z0) -> c4 [1] GR(s(z0), 0) -> c5 [1] GR(s(z0), s(z1)) -> c6(GR(z0, z1)) [1] P(0) -> c7 [1] P(s(z0)) -> c8 [1] cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) [0] cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) [0] cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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] 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] 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] The TRS has the following type information: COND1 :: true:false:null_gr -> 0:s:null_p -> 0:s:null_p -> c:null_COND1 true :: true:false:null_gr c :: c1:c2:c3:null_COND2 -> c4:c5:c6:null_GR -> c:null_COND1 COND2 :: true:false:null_gr -> 0:s:null_p -> 0:s:null_p -> c1:c2:c3:null_COND2 gr :: 0:s:null_p -> 0:s:null_p -> true:false:null_gr GR :: 0:s:null_p -> 0:s:null_p -> c4:c5:c6:null_GR c1 :: c:null_COND1 -> c4:c5:c6:null_GR -> c1:c2:c3:null_COND2 0 :: 0:s:null_p false :: true:false:null_gr c2 :: c:null_COND1 -> c4:c5:c6:null_GR -> c1:c2:c3:null_COND2 p :: 0:s:null_p -> 0:s:null_p c3 :: c:null_COND1 -> c7:c8:null_P -> c1:c2:c3:null_COND2 P :: 0:s:null_p -> c7:c8:null_P c4 :: c4:c5:c6:null_GR s :: 0:s:null_p -> 0:s:null_p c5 :: c4:c5:c6:null_GR c6 :: c4:c5:c6:null_GR -> c4:c5:c6:null_GR c7 :: c7:c8:null_P c8 :: c7:c8:null_P cond1 :: true:false:null_gr -> 0:s:null_p -> 0:s:null_p -> null_cond1:null_cond2 cond2 :: true:false:null_gr -> 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_p :: 0:s:null_p null_COND1 :: c:null_COND1 null_COND2 :: c1:c2:c3:null_COND2 null_GR :: c4:c5:c6:null_GR null_P :: c7:c8:null_P 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 c4 => 0 c5 => 1 c7 => 1 c8 => 2 null_cond1 => 0 null_cond2 => 0 null_gr => 0 null_p => 0 null_COND1 => 0 null_COND2 => 0 null_GR => 0 null_P => 0 ---------------------------------------- (10) Obligation: Complexity RNTS consisting of the following rules: 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(z0, z1), z0, z1) + GR(z0, z1) :|: 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 + COND1(gr(z0, 0), z1, z1) + GR(z0, 0) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND1(gr(z0, 0), p(z0), z1) + P(z0) :|: z1 >= 0, z = 1, z0 >= 0, z' = z0, z'' = z1 COND2(z, z', z'') -{ 1 }-> 1 + COND1(gr(z0, 0), p(z0), z1) + GR(z0, 0) :|: z1 >= 0, z = 1, z0 >= 0, z' = z0, z'' = 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 = 1 + z0, z0 >= 0 P(z) -{ 1 }-> 1 :|: z = 0 P(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 cond1(z, z', z'') -{ 0 }-> cond2(gr(z0, z1), 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 }-> cond1(gr(z0, 0), z1, z1) :|: z = 2, z1 >= 0, z0 >= 0, z' = z0, z'' = z1 cond2(z, z', z'') -{ 0 }-> cond1(gr(z0, 0), p(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 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,[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(fun(V1, V, V2, Out),1,[gr(V4, V3, Ret010),fun1(Ret010, V4, V3, Ret01),fun2(V4, V3, Ret1)],[Out = 1 + Ret01 + Ret1,V1 = 2,V3 >= 0,V4 >= 0,V = V4,V2 = V3]). eq(fun1(V1, V, V2, Out),1,[gr(V6, 0, Ret0101),fun(Ret0101, V5, V5, Ret011),fun2(V6, 0, Ret11)],[Out = 1 + Ret011 + Ret11,V1 = 2,V5 >= 0,V6 >= 0,V = V6,V2 = V5]). eq(fun1(V1, V, V2, Out),1,[gr(V8, 0, Ret0102),p(V8, Ret0111),fun(Ret0102, Ret0111, V7, Ret012),fun2(V8, 0, Ret12)],[Out = 1 + Ret012 + Ret12,V7 >= 0,V1 = 1,V8 >= 0,V = V8,V2 = V7]). eq(fun1(V1, V, V2, Out),1,[gr(V9, 0, Ret0103),p(V9, Ret0112),fun(Ret0103, Ret0112, V10, Ret013),fun3(V9, Ret13)],[Out = 1 + Ret013 + Ret13,V10 >= 0,V1 = 1,V9 >= 0,V = V9,V2 = V10]). eq(fun2(V1, V, Out),1,[],[Out = 0,V11 >= 0,V1 = 0,V = V11]). eq(fun2(V1, V, Out),1,[],[Out = 1,V1 = 1 + V12,V12 >= 0,V = 0]). eq(fun2(V1, V, Out),1,[fun2(V14, V13, Ret14)],[Out = 1 + Ret14,V13 >= 0,V1 = 1 + V14,V14 >= 0,V = 1 + V13]). eq(fun3(V1, Out),1,[],[Out = 1,V1 = 0]). eq(fun3(V1, Out),1,[],[Out = 2,V1 = 1 + V15,V15 >= 0]). eq(cond1(V1, V, V2, Out),0,[gr(V17, V16, Ret0),cond2(Ret0, V17, V16, Ret)],[Out = Ret,V1 = 2,V16 >= 0,V17 >= 0,V = V17,V2 = V16]). eq(cond2(V1, V, V2, Out),0,[gr(V18, 0, Ret02),cond1(Ret02, V19, V19, Ret2)],[Out = Ret2,V1 = 2,V19 >= 0,V18 >= 0,V = V18,V2 = V19]). eq(cond2(V1, V, V2, Out),0,[gr(V21, 0, Ret03),p(V21, Ret15),cond1(Ret03, Ret15, V20, Ret3)],[Out = Ret3,V20 >= 0,V1 = 1,V21 >= 0,V = V21,V2 = V20]). eq(gr(V1, V, Out),0,[],[Out = 1,V22 >= 0,V1 = 0,V = V22]). eq(gr(V1, V, Out),0,[],[Out = 2,V1 = 1 + V23,V23 >= 0,V = 0]). eq(gr(V1, V, Out),0,[gr(V24, V25, Ret4)],[Out = Ret4,V25 >= 0,V1 = 1 + V24,V24 >= 0,V = 1 + V25]). eq(p(V1, Out),0,[],[Out = 0,V1 = 0]). eq(p(V1, Out),0,[],[Out = V26,V1 = 1 + V26,V26 >= 0]). eq(cond1(V1, V, V2, Out),0,[],[Out = 0,V28 >= 0,V2 = V29,V27 >= 0,V1 = V28,V = V27,V29 >= 0]). eq(cond2(V1, V, V2, Out),0,[],[Out = 0,V32 >= 0,V2 = V30,V31 >= 0,V1 = V32,V = V31,V30 >= 0]). eq(gr(V1, V, Out),0,[],[Out = 0,V34 >= 0,V33 >= 0,V1 = V34,V = V33]). eq(p(V1, Out),0,[],[Out = 0,V35 >= 0,V1 = V35]). eq(fun(V1, V, V2, Out),0,[],[Out = 0,V36 >= 0,V2 = V37,V38 >= 0,V1 = V36,V = V38,V37 >= 0]). eq(fun1(V1, V, V2, Out),0,[],[Out = 0,V40 >= 0,V2 = V41,V39 >= 0,V1 = V40,V = V39,V41 >= 0]). eq(fun2(V1, V, Out),0,[],[Out = 0,V43 >= 0,V42 >= 0,V1 = V43,V = V42]). eq(fun3(V1, Out),0,[],[Out = 0,V44 >= 0,V1 = V44]). 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(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]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [gr/3] 1. non_recursive : [p/2] 2. recursive : [cond1/4,cond2/4] 3. recursive : [fun2/3] 4. non_recursive : [fun3/2] 5. recursive [non_tail] : [fun/4,fun1/4] 6. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into gr/3 1. SCC is partially evaluated into p/2 2. SCC is partially evaluated into cond2/4 3. SCC is partially evaluated into fun2/3 4. SCC is partially evaluated into fun3/2 5. SCC is partially evaluated into fun1/4 6. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations gr/3 * CE 13 is refined into CE [35] * CE 11 is refined into CE [36] * CE 10 is refined into CE [37] * CE 12 is refined into CE [38] ### Cost equations --> "Loop" of gr/3 * CEs [38] --> Loop 23 * CEs [35] --> Loop 24 * CEs [36] --> Loop 25 * CEs [37] --> Loop 26 ### Ranking functions of CR gr(V1,V,Out) * RF of phase [23]: [V,V1] #### Partial ranking functions of CR gr(V1,V,Out) * Partial RF of phase [23]: - RF of loop [23:1]: V V1 ### Specialization of cost equations p/2 * CE 34 is refined into CE [39] * CE 33 is refined into CE [40] ### Cost equations --> "Loop" of p/2 * CEs [39] --> Loop 27 * CEs [40] --> Loop 28 ### Ranking functions of CR p(V1,Out) #### Partial ranking functions of CR p(V1,Out) ### Specialization of cost equations cond2/4 * CE 26 is refined into CE [41,42,43] * CE 25 is refined into CE [44,45,46,47,48] * CE 29 is refined into CE [49] * CE 28 is refined into CE [50,51,52] * CE 27 is refined into CE [53,54,55,56,57,58,59] ### Cost equations --> "Loop" of cond2/4 * CEs [52] --> Loop 29 * CEs [51] --> Loop 30 * CEs [50] --> Loop 31 * CEs [59] --> Loop 32 * CEs [58] --> Loop 33 * CEs [57] --> Loop 34 * CEs [54] --> Loop 35 * CEs [56] --> Loop 36 * CEs [53,55] --> Loop 37 * CEs [41,42,43] --> Loop 38 * CEs [44,45,46,47,48,49] --> Loop 39 ### Ranking functions of CR cond2(V1,V,V2,Out) * RF of phase [33]: [V-1] #### Partial ranking functions of CR cond2(V1,V,V2,Out) * Partial RF of phase [33]: - RF of loop [33:1]: V-1 ### Specialization of cost equations fun2/3 * CE 22 is refined into CE [60] * CE 21 is refined into CE [61] * CE 24 is refined into CE [62] * CE 23 is refined into CE [63] ### Cost equations --> "Loop" of fun2/3 * CEs [63] --> Loop 40 * CEs [60] --> Loop 41 * CEs [61,62] --> Loop 42 ### Ranking functions of CR fun2(V1,V,Out) * RF of phase [40]: [V,V1] #### Partial ranking functions of CR fun2(V1,V,Out) * Partial RF of phase [40]: - RF of loop [40:1]: V V1 ### Specialization of cost equations fun3/2 * CE 31 is refined into CE [64] * CE 32 is refined into CE [65] * CE 30 is refined into CE [66] ### Cost equations --> "Loop" of fun3/2 * CEs [64] --> Loop 43 * CEs [65] --> Loop 44 * CEs [66] --> Loop 45 ### Ranking functions of CR fun3(V1,Out) #### Partial ranking functions of CR fun3(V1,Out) ### Specialization of cost equations fun1/4 * CE 20 is refined into CE [67] * CE 16 is refined into CE [68,69,70,71,72] * CE 14 is refined into CE [73,74,75,76,77,78,79,80,81,82,83] * CE 15 is refined into CE [84,85,86,87,88,89,90,91,92] * CE 19 is refined into CE [93,94,95,96,97,98,99,100,101,102] * CE 17 is refined into CE [103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130] * CE 18 is refined into CE [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] ### Cost equations --> "Loop" of fun1/4 * CEs [101] --> Loop 46 * CEs [99,102] --> Loop 47 * CEs [100] --> Loop 48 * CEs [97] --> Loop 49 * CEs [98] --> Loop 50 * CEs [95] --> Loop 51 * CEs [96] --> Loop 52 * CEs [93] --> Loop 53 * CEs [94] --> Loop 54 * CEs [126] --> Loop 55 * CEs [129,153,158] --> Loop 56 * CEs [125,154] --> Loop 57 * CEs [127,156,157] --> Loop 58 * CEs [130,155] --> Loop 59 * CEs [128] --> Loop 60 * CEs [124] --> Loop 61 * CEs [122,151] --> Loop 62 * CEs [123,149,152] --> Loop 63 * CEs [121,150] --> Loop 64 * CEs [119,148] --> Loop 65 * CEs [117,146,147] --> Loop 66 * CEs [120,145] --> Loop 67 * CEs [118] --> Loop 68 * CEs [115,144] --> Loop 69 * CEs [106] --> Loop 70 * CEs [133] --> Loop 71 * CEs [105,134] --> Loop 72 * CEs [110] --> Loop 73 * CEs [112,137] --> Loop 74 * CEs [109,138,139] --> Loop 75 * CEs [111,140] --> Loop 76 * CEs [114] --> Loop 77 * CEs [116,141] --> Loop 78 * CEs [113,142,143] --> Loop 79 * CEs [104,108] --> Loop 80 * CEs [131,135] --> Loop 81 * CEs [103,107,132,136] --> Loop 82 * CEs [67] --> Loop 83 * CEs [69,71] --> Loop 84 * CEs [68,70,72] --> Loop 85 * CEs [76,78,81,83] --> Loop 86 * CEs [85,87,89,91] --> Loop 87 * CEs [73,79] --> Loop 88 * CEs [74,75,77,80,82,84,86,88,90,92] --> Loop 89 ### Ranking functions of CR fun1(V1,V,V2,Out) * RF of phase [61,62,63,64]: [V-1] #### Partial ranking functions of CR fun1(V1,V,V2,Out) * Partial RF of phase [61,62,63,64]: - RF of loop [61:1,62:1,63:1,64:1]: V-1 ### Specialization of cost equations start/3 * CE 1 is refined into CE [159] * CE 2 is refined into CE [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] * CE 3 is refined into CE [240,241,242,243,244,245,246] * CE 4 is refined into CE [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] * CE 5 is refined into CE [295,296,297,298] * CE 6 is refined into CE [299,300,301] * CE 7 is refined into CE [302,303] * CE 8 is refined into CE [304,305,306,307,308] * CE 9 is refined into CE [309,310] ### Cost equations --> "Loop" of start/3 * CEs [295,305] --> Loop 90 * CEs [163,164,165,166,167,168,169,170,171,172,173,174,175,241,242,282,283] --> Loop 91 * CEs [160,161,162,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,243,244,245,246,280,281,284,285,286,287,288,289,290,291,292,293,303] --> Loop 92 * CEs [253,254,255,256] --> Loop 93 * CEs [247,248,249,250,251,252,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279] --> Loop 94 * CEs [159,294,296,297,298,299,300,301,302,304,306,307,308,309,310] --> Loop 95 ### Ranking functions of CR start(V1,V,V2) #### Partial ranking functions of CR start(V1,V,V2) Computing Bounds ===================================== #### Cost of chains of gr(V1,V,Out): * Chain [[23],26]: 0 with precondition: [Out=1,V1>=1,V>=V1] * Chain [[23],25]: 0 with precondition: [Out=2,V>=1,V1>=V+1] * Chain [[23],24]: 0 with precondition: [Out=0,V1>=1,V>=1] * Chain [26]: 0 with precondition: [V1=0,Out=1,V>=0] * Chain [25]: 0 with precondition: [V=0,Out=2,V1>=1] * Chain [24]: 0 with precondition: [Out=0,V1>=0,V>=0] #### Cost of chains of p(V1,Out): * Chain [28]: 0 with precondition: [Out=0,V1>=0] * Chain [27]: 0 with precondition: [V1=Out+1,V1>=1] #### Cost of chains of cond2(V1,V,V2,Out): * Chain [[33],39]: 0 with precondition: [V1=1,Out=0,V>=2,V2+1>=V] * Chain [[33],37,39]: 0 with precondition: [V1=1,Out=0,V>=2,V2+1>=V] * Chain [[33],35,39]: 0 with precondition: [V1=1,Out=0,V>=2,V2+1>=V] * Chain [[33],34,39]: 0 with precondition: [V1=1,Out=0,V>=2,V2+1>=V] * Chain [39]: 0 with precondition: [Out=0,V1>=0,V>=0,V2>=0] * Chain [38]: 0 with precondition: [V1=2,Out=0,V>=0,V2>=0] * Chain [37,39]: 0 with precondition: [V1=1,Out=0,V>=1,V2>=0] * Chain [36,39]: 0 with precondition: [V1=1,V2=0,Out=0,V>=2] * Chain [36,38]: 0 with precondition: [V1=1,V2=0,Out=0,V>=2] * Chain [36,31,39]: 0 with precondition: [V1=1,V2=0,Out=0,V>=2] * Chain [36,30,39]: 0 with precondition: [V1=1,V2=0,Out=0,V>=2] * Chain [35,39]: 0 with precondition: [V1=1,Out=0,V>=1,V2>=0] * Chain [34,39]: 0 with precondition: [V1=1,Out=0,V>=1,V2>=0] * Chain [32,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,38]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,30,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,29,[33],39]: 0 with precondition: [V1=1,Out=0,V2>=2,V>=V2+2] * Chain [32,29,[33],37,39]: 0 with precondition: [V1=1,Out=0,V2>=2,V>=V2+2] * Chain [32,29,[33],35,39]: 0 with precondition: [V1=1,Out=0,V2>=2,V>=V2+2] * Chain [32,29,[33],34,39]: 0 with precondition: [V1=1,Out=0,V2>=2,V>=V2+2] * Chain [32,29,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,29,37,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,29,35,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [32,29,34,39]: 0 with precondition: [V1=1,Out=0,V2>=1,V>=V2+2] * Chain [31,39]: 0 with precondition: [V1=2,V2=0,Out=0,V>=1] * Chain [30,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=0] * Chain [29,[33],39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [29,[33],37,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [29,[33],35,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [29,[33],34,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=2] * Chain [29,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [29,37,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [29,35,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] * Chain [29,34,39]: 0 with precondition: [V1=2,Out=0,V>=1,V2>=1] #### Cost of chains of fun2(V1,V,Out): * Chain [[40],42]: 1*it(40)+1 Such that:it(40) =< Out with precondition: [Out>=1,V1>=Out,V>=Out] * Chain [[40],41]: 1*it(40)+1 Such that:it(40) =< Out with precondition: [V+1=Out,V>=1,V1>=V+1] * Chain [42]: 1 with precondition: [Out=0,V1>=0,V>=0] * Chain [41]: 1 with precondition: [V=0,Out=1,V1>=1] #### Cost of chains of fun3(V1,Out): * Chain [45]: 1 with precondition: [V1=0,Out=1] * Chain [44]: 0 with precondition: [Out=0,V1>=0] * Chain [43]: 1 with precondition: [Out=2,V1>=1] #### Cost of chains of fun1(V1,V,V2,Out): * Chain [[61,62,63,64],89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+2 Such that:aux(7) =< V it(61) =< aux(7) aux(3) =< aux(7) s(9) =< it(61)*aux(7) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=3,V2+1>=V] * Chain [[61,62,63,64],87]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+2 Such that:aux(8) =< V it(61) =< aux(8) aux(3) =< aux(8) s(9) =< it(61)*aux(8) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=4,V2+1>=V] * Chain [[61,62,63,64],86]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+2 Such that:aux(9) =< V it(61) =< aux(9) aux(3) =< aux(9) s(9) =< it(61)*aux(9) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=5,V2+1>=V] * Chain [[61,62,63,64],83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+0 Such that:aux(10) =< V it(61) =< aux(10) aux(3) =< aux(10) s(9) =< it(61)*aux(10) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=2,V2+1>=V] * Chain [[61,62,63,64],82,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(11) =< V it(61) =< aux(11) aux(3) =< aux(11) s(9) =< it(61)*aux(11) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=5,V2+1>=V] * Chain [[61,62,63,64],82,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(12) =< V it(61) =< aux(12) aux(3) =< aux(12) s(9) =< it(61)*aux(12) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=6,V2+1>=V] * Chain [[61,62,63,64],82,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(13) =< V it(61) =< aux(13) aux(3) =< aux(13) s(9) =< it(61)*aux(13) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=4,V2+1>=V] * Chain [[61,62,63,64],81,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(14) =< V it(61) =< aux(14) aux(3) =< aux(14) s(9) =< it(61)*aux(14) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=6,V2+1>=V] * Chain [[61,62,63,64],81,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(15) =< V it(61) =< aux(15) aux(3) =< aux(15) s(9) =< it(61)*aux(15) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=7,V2+1>=V] * Chain [[61,62,63,64],81,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(16) =< V it(61) =< aux(16) aux(3) =< aux(16) s(9) =< it(61)*aux(16) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=5,V2+1>=V] * Chain [[61,62,63,64],80,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(17) =< V it(61) =< aux(17) aux(3) =< aux(17) s(9) =< it(61)*aux(17) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=7,V2+1>=V] * Chain [[61,62,63,64],80,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(18) =< V it(61) =< aux(18) aux(3) =< aux(18) s(9) =< it(61)*aux(18) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=8,V2+1>=V] * Chain [[61,62,63,64],80,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(19) =< V it(61) =< aux(19) aux(3) =< aux(19) s(9) =< it(61)*aux(19) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=6,V2+1>=V] * Chain [[61,62,63,64],79,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(20) =< V it(61) =< aux(20) aux(3) =< aux(20) s(9) =< it(61)*aux(20) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=5,V2+1>=V] * Chain [[61,62,63,64],78,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(21) =< V it(61) =< aux(21) aux(3) =< aux(21) s(9) =< it(61)*aux(21) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=6,V2+1>=V] * Chain [[61,62,63,64],72,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(22) =< V it(61) =< aux(22) aux(3) =< aux(22) s(9) =< it(61)*aux(22) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=4,V2+1>=V] * Chain [[61,62,63,64],71,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(23) =< V it(61) =< aux(23) aux(3) =< aux(23) s(9) =< it(61)*aux(23) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=5,V2+1>=V] * Chain [[61,62,63,64],70,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(24) =< V it(61) =< aux(24) aux(3) =< aux(24) s(9) =< it(61)*aux(24) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=6,V2+1>=V] * Chain [[61,62,63,64],69,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(25) =< V it(61) =< aux(25) aux(3) =< aux(25) s(9) =< it(61)*aux(25) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=2,Out>=4,V2+1>=V] * Chain [[61,62,63,64],67,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(13)+1*s(14)+4 Such that:s(13) =< V2 s(14) =< V2+1 aux(26) =< V it(61) =< aux(26) aux(3) =< aux(26) s(9) =< it(61)*aux(26) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=3,Out>=7,V2+1>=V] * Chain [[61,62,63,64],66,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+1*s(17)+4 Such that:s(17) =< V2 aux(27) =< V2+1 aux(28) =< V s(15) =< aux(27) it(61) =< aux(28) aux(3) =< aux(28) s(9) =< it(61)*aux(28) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=3,Out>=6,V2+1>=V] * Chain [[61,62,63,64],65,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(18)+4 Such that:aux(29) =< V2 aux(30) =< V s(18) =< aux(29) it(61) =< aux(30) aux(3) =< aux(30) s(9) =< it(61)*aux(30) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V>=3,Out>=5,V2+1>=V] * Chain [89]: 2 with precondition: [V1=1,Out=1,V>=0,V2>=0] * Chain [88]: 2 with precondition: [V1=1,V=0,Out=2,V2>=0] * Chain [87]: 2 with precondition: [V1=1,Out=2,V>=1,V2>=0] * Chain [86]: 2 with precondition: [V1=1,Out=3,V>=1,V2>=0] * Chain [85]: 2 with precondition: [V1=2,Out=1,V>=0,V2>=0] * Chain [84]: 2 with precondition: [V1=2,Out=2,V>=1,V2>=0] * Chain [83]: 0 with precondition: [Out=0,V1>=0,V>=0,V2>=0] * Chain [82,89]: 6 with precondition: [V1=1,Out=3,V>=1,V2>=0] * Chain [82,88]: 6 with precondition: [V1=1,Out=4,V>=1,V2>=0] * Chain [82,83]: 4 with precondition: [V1=1,Out=2,V>=1,V2>=0] * Chain [81,89]: 6 with precondition: [V1=1,Out=4,V>=1,V2>=0] * Chain [81,88]: 6 with precondition: [V1=1,Out=5,V>=1,V2>=0] * Chain [81,83]: 4 with precondition: [V1=1,Out=3,V>=1,V2>=0] * Chain [80,89]: 6 with precondition: [V1=1,Out=5,V>=1,V2>=0] * Chain [80,88]: 6 with precondition: [V1=1,Out=6,V>=1,V2>=0] * Chain [80,83]: 4 with precondition: [V1=1,Out=4,V>=1,V2>=0] * Chain [79,83]: 4 with precondition: [V1=1,Out=3,V>=1,V2>=0] * Chain [78,83]: 4 with precondition: [V1=1,Out=4,V>=1,V2>=0] * Chain [77,83]: 4 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [76,85]: 6 with precondition: [V1=1,V2=0,Out=3,V>=2] * Chain [76,84]: 6 with precondition: [V1=1,V2=0,Out=4,V>=2] * Chain [76,83]: 4 with precondition: [V1=1,V2=0,Out=2,V>=2] * Chain [76,54,89]: 10 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [76,54,88]: 10 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [76,54,83]: 8 with precondition: [V1=1,V2=0,Out=4,V>=2] * Chain [76,53,89]: 10 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [76,53,88]: 10 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [76,53,83]: 8 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [76,52,83]: 8 with precondition: [V1=1,V2=0,Out=4,V>=2] * Chain [76,51,83]: 8 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [75,85]: 6 with precondition: [V1=1,V2=0,Out=4,V>=2] * Chain [75,84]: 6 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [75,83]: 4 with precondition: [V1=1,V2=0,Out=3,V>=2] * Chain [75,54,89]: 10 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [75,54,88]: 10 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [75,54,83]: 8 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [75,53,89]: 10 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [75,53,88]: 10 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [75,53,83]: 8 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [75,52,83]: 8 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [75,51,83]: 8 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [74,85]: 6 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [74,84]: 6 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [74,83]: 4 with precondition: [V1=1,V2=0,Out=4,V>=2] * Chain [74,54,89]: 10 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [74,54,88]: 10 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [74,54,83]: 8 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [74,53,89]: 10 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [74,53,88]: 10 with precondition: [V1=1,V2=0,Out=9,V>=2] * Chain [74,53,83]: 8 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [74,52,83]: 8 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [74,51,83]: 8 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [73,85]: 6 with precondition: [V1=1,V2=0,Out=6,V>=2] * Chain [73,84]: 6 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [73,83]: 4 with precondition: [V1=1,V2=0,Out=5,V>=2] * Chain [73,54,89]: 10 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [73,54,88]: 10 with precondition: [V1=1,V2=0,Out=9,V>=2] * Chain [73,54,83]: 8 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [73,53,89]: 10 with precondition: [V1=1,V2=0,Out=9,V>=2] * Chain [73,53,88]: 10 with precondition: [V1=1,V2=0,Out=10,V>=2] * Chain [73,53,83]: 8 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [73,52,83]: 8 with precondition: [V1=1,V2=0,Out=7,V>=2] * Chain [73,51,83]: 8 with precondition: [V1=1,V2=0,Out=8,V>=2] * Chain [72,83]: 4 with precondition: [V1=1,Out=2,V>=1,V2>=0] * Chain [71,83]: 4 with precondition: [V1=1,Out=3,V>=1,V2>=0] * Chain [70,83]: 4 with precondition: [V1=1,Out=4,V>=1,V2>=0] * Chain [69,83]: 4 with precondition: [V1=1,Out=2,V>=1,V2>=0] * Chain [68,83]: 1*s(20)+4 Such that:s(20) =< Out with precondition: [V1=1,Out=V2+5,Out>=6,V+3>=Out] * Chain [67,83]: 1*s(13)+1*s(14)+4 Such that:s(13) =< V2 s(14) =< V2+1 with precondition: [V1=1,Out>=5,V+3>=Out,V2+4>=Out] * Chain [66,83]: 2*s(15)+1*s(17)+4 Such that:s(17) =< V2 aux(27) =< V2+1 s(15) =< aux(27) with precondition: [V1=1,Out>=4,V+2>=Out,V2+3>=Out] * Chain [65,83]: 2*s(18)+4 Such that:aux(29) =< V2 s(18) =< aux(29) with precondition: [V1=1,Out>=3,V+1>=Out,V2+2>=Out] * Chain [60,85]: 1*s(21)+6 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+6,Out>=7,V+4>=Out] * Chain [60,84]: 1*s(21)+6 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+7,Out>=8,V+5>=Out] * Chain [60,83]: 1*s(21)+4 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+5,Out>=6,V+3>=Out] * Chain [60,52,83]: 1*s(21)+8 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+7,Out>=8,V+5>=Out] * Chain [60,51,83]: 1*s(21)+8 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+8,Out>=9,V+6>=Out] * Chain [60,50,83]: 1*s(21)+1*s(22)+8 Such that:s(22) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+8,2*V2+7>=Out] * Chain [60,49,83]: 1*s(21)+1*s(23)+8 Such that:s(23) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+9,2*V2+8>=Out] * Chain [60,48,[61,62,63,64],89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(7) =< V2 s(21) =< V2+1 it(61) =< aux(7) aux(3) =< aux(7) s(9) =< it(61)*aux(7) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+10] * Chain [60,48,[61,62,63,64],87]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(8) =< V2 s(21) =< V2+1 it(61) =< aux(8) aux(3) =< aux(8) s(9) =< it(61)*aux(8) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,48,[61,62,63,64],86]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(9) =< V2 s(21) =< V2+1 it(61) =< aux(9) aux(3) =< aux(9) s(9) =< it(61)*aux(9) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,48,[61,62,63,64],83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+8 Such that:aux(10) =< V2 s(21) =< V2+1 it(61) =< aux(10) aux(3) =< aux(10) s(9) =< it(61)*aux(10) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+9] * Chain [60,48,[61,62,63,64],82,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(11) =< V2 s(21) =< V2+1 it(61) =< aux(11) aux(3) =< aux(11) s(9) =< it(61)*aux(11) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,48,[61,62,63,64],82,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(12) =< V2 s(21) =< V2+1 it(61) =< aux(12) aux(3) =< aux(12) s(9) =< it(61)*aux(12) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],82,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(13) =< V2 s(21) =< V2+1 it(61) =< aux(13) aux(3) =< aux(13) s(9) =< it(61)*aux(13) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,48,[61,62,63,64],81,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(14) =< V2 s(21) =< V2+1 it(61) =< aux(14) aux(3) =< aux(14) s(9) =< it(61)*aux(14) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],81,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(15) =< V2 s(21) =< V2+1 it(61) =< aux(15) aux(3) =< aux(15) s(9) =< it(61)*aux(15) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,48,[61,62,63,64],81,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(16) =< V2 s(21) =< V2+1 it(61) =< aux(16) aux(3) =< aux(16) s(9) =< it(61)*aux(16) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,48,[61,62,63,64],80,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(17) =< V2 s(21) =< V2+1 it(61) =< aux(17) aux(3) =< aux(17) s(9) =< it(61)*aux(17) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,48,[61,62,63,64],80,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(18) =< V2 s(21) =< V2+1 it(61) =< aux(18) aux(3) =< aux(18) s(9) =< it(61)*aux(18) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,48,[61,62,63,64],80,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(19) =< V2 s(21) =< V2+1 it(61) =< aux(19) aux(3) =< aux(19) s(9) =< it(61)*aux(19) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],79,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(20) =< V2 s(21) =< V2+1 it(61) =< aux(20) aux(3) =< aux(20) s(9) =< it(61)*aux(20) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,48,[61,62,63,64],78,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(21) =< V2 s(21) =< V2+1 it(61) =< aux(21) aux(3) =< aux(21) s(9) =< it(61)*aux(21) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],72,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(22) =< V2 s(21) =< V2+1 it(61) =< aux(22) aux(3) =< aux(22) s(9) =< it(61)*aux(22) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,48,[61,62,63,64],71,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(23) =< V2 s(21) =< V2+1 it(61) =< aux(23) aux(3) =< aux(23) s(9) =< it(61)*aux(23) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,48,[61,62,63,64],70,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(24) =< V2 s(21) =< V2+1 it(61) =< aux(24) aux(3) =< aux(24) s(9) =< it(61)*aux(24) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],69,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(25) =< V2 s(21) =< V2+1 it(61) =< aux(25) aux(3) =< aux(25) s(9) =< it(61)*aux(25) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,48,[61,62,63,64],67,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(31) =< V2 aux(32) =< V2+1 s(14) =< aux(32) it(61) =< aux(31) aux(3) =< aux(31) s(9) =< it(61)*aux(31) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+14] * Chain [60,48,[61,62,63,64],66,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(33) =< V2 aux(34) =< V2+1 s(15) =< aux(34) it(61) =< aux(33) aux(3) =< aux(33) s(9) =< it(61)*aux(33) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+13] * Chain [60,48,[61,62,63,64],65,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(35) =< V2 s(21) =< V2+1 it(61) =< aux(35) aux(3) =< aux(35) s(9) =< it(61)*aux(35) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+12] * Chain [60,48,89]: 1*s(21)+10 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+8,Out>=9,V+6>=Out] * Chain [60,48,87]: 1*s(21)+10 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+9,Out>=10,V+7>=Out] * Chain [60,48,86]: 1*s(21)+10 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+10,Out>=11,V+8>=Out] * Chain [60,48,83]: 1*s(21)+8 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+7,Out>=8,V+5>=Out] * Chain [60,48,82,89]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+10,Out>=11,V+8>=Out] * Chain [60,48,82,88]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+11,Out>=12,V+9>=Out] * Chain [60,48,82,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+9,Out>=10,V+7>=Out] * Chain [60,48,81,89]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+11,Out>=12,V+9>=Out] * Chain [60,48,81,88]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+12,Out>=13,V+10>=Out] * Chain [60,48,81,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+10,Out>=11,V+8>=Out] * Chain [60,48,80,89]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+12,Out>=13,V+10>=Out] * Chain [60,48,80,88]: 1*s(21)+14 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+13,Out>=14,V+11>=Out] * Chain [60,48,80,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+11,Out>=12,V+9>=Out] * Chain [60,48,79,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+10,Out>=11,V+8>=Out] * Chain [60,48,78,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+11,Out>=12,V+9>=Out] * Chain [60,48,72,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+9,Out>=10,V+7>=Out] * Chain [60,48,71,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+10,Out>=11,V+8>=Out] * Chain [60,48,70,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+11,Out>=12,V+9>=Out] * Chain [60,48,69,83]: 1*s(21)+12 Such that:s(21) =< Out with precondition: [V1=1,Out=V2+9,Out>=10,V+7>=Out] * Chain [60,48,67,83]: 1*s(13)+2*s(14)+12 Such that:s(13) =< V2 aux(36) =< V2+1 s(14) =< aux(36) with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+10>=Out] * Chain [60,48,66,83]: 3*s(15)+1*s(17)+12 Such that:s(17) =< V2 aux(37) =< V2+1 s(15) =< aux(37) with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+9>=Out] * Chain [60,48,65,83]: 2*s(18)+1*s(21)+12 Such that:aux(29) =< V2 s(21) =< V2+1 s(18) =< aux(29) with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+8>=Out] * Chain [60,47,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(38) =< V2 s(21) =< V2+1 it(61) =< aux(38) aux(3) =< aux(38) s(9) =< it(61)*aux(38) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,47,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(39) =< V2 s(21) =< V2+1 it(61) =< aux(39) aux(3) =< aux(39) s(9) =< it(61)*aux(39) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,47,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(40) =< V2 s(21) =< V2+1 it(61) =< aux(40) aux(3) =< aux(40) s(9) =< it(61)*aux(40) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,47,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+8 Such that:aux(41) =< V2 s(21) =< V2+1 it(61) =< aux(41) aux(3) =< aux(41) s(9) =< it(61)*aux(41) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+10] * Chain [60,47,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(42) =< V2 s(21) =< V2+1 it(61) =< aux(42) aux(3) =< aux(42) s(9) =< it(61)*aux(42) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,47,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(43) =< V2 s(21) =< V2+1 it(61) =< aux(43) aux(3) =< aux(43) s(9) =< it(61)*aux(43) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(44) =< V2 s(21) =< V2+1 it(61) =< aux(44) aux(3) =< aux(44) s(9) =< it(61)*aux(44) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,47,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(45) =< V2 s(21) =< V2+1 it(61) =< aux(45) aux(3) =< aux(45) s(9) =< it(61)*aux(45) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(46) =< V2 s(21) =< V2+1 it(61) =< aux(46) aux(3) =< aux(46) s(9) =< it(61)*aux(46) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,47,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(47) =< V2 s(21) =< V2+1 it(61) =< aux(47) aux(3) =< aux(47) s(9) =< it(61)*aux(47) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,47,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(48) =< V2 s(21) =< V2+1 it(61) =< aux(48) aux(3) =< aux(48) s(9) =< it(61)*aux(48) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,47,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(49) =< V2 s(21) =< V2+1 it(61) =< aux(49) aux(3) =< aux(49) s(9) =< it(61)*aux(49) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+16] * Chain [60,47,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(50) =< V2 s(21) =< V2+1 it(61) =< aux(50) aux(3) =< aux(50) s(9) =< it(61)*aux(50) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(51) =< V2 s(21) =< V2+1 it(61) =< aux(51) aux(3) =< aux(51) s(9) =< it(61)*aux(51) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,47,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(52) =< V2 s(21) =< V2+1 it(61) =< aux(52) aux(3) =< aux(52) s(9) =< it(61)*aux(52) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(53) =< V2 s(21) =< V2+1 it(61) =< aux(53) aux(3) =< aux(53) s(9) =< it(61)*aux(53) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,47,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(54) =< V2 s(21) =< V2+1 it(61) =< aux(54) aux(3) =< aux(54) s(9) =< it(61)*aux(54) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,47,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(55) =< V2 s(21) =< V2+1 it(61) =< aux(55) aux(3) =< aux(55) s(9) =< it(61)*aux(55) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(56) =< V2 s(21) =< V2+1 it(61) =< aux(56) aux(3) =< aux(56) s(9) =< it(61)*aux(56) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,47,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(57) =< V2 aux(58) =< V2+1 s(14) =< aux(58) it(61) =< aux(57) aux(3) =< aux(57) s(9) =< it(61)*aux(57) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+15] * Chain [60,47,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(59) =< V2 aux(60) =< V2+1 s(15) =< aux(60) it(61) =< aux(59) aux(3) =< aux(59) s(9) =< it(61)*aux(59) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+14] * Chain [60,47,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(61) =< V2 s(21) =< V2+1 it(61) =< aux(61) aux(3) =< aux(61) s(9) =< it(61)*aux(61) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+13] * Chain [60,47,89]: 1*s(21)+1*s(24)+10 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+9,2*V2+8>=Out] * Chain [60,47,87]: 1*s(21)+1*s(24)+10 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+9>=Out] * Chain [60,47,86]: 1*s(21)+1*s(24)+10 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,47,83]: 1*s(21)+1*s(24)+8 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+8,2*V2+7>=Out] * Chain [60,47,82,89]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,47,82,88]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,47,82,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+9>=Out] * Chain [60,47,81,89]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,47,81,88]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,47,81,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,47,80,89]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,47,80,88]: 1*s(21)+1*s(24)+14 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+14,2*V2+13>=Out] * Chain [60,47,80,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,47,79,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,47,78,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,47,72,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+9>=Out] * Chain [60,47,71,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,47,70,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,47,69,83]: 1*s(21)+1*s(24)+12 Such that:s(24) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+9>=Out] * Chain [60,47,67,83]: 2*s(13)+2*s(14)+12 Such that:aux(62) =< V2 aux(63) =< V2+1 s(14) =< aux(63) s(13) =< aux(62) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13,3*V2+10>=Out] * Chain [60,47,66,83]: 3*s(15)+2*s(17)+12 Such that:aux(64) =< V2 aux(65) =< V2+1 s(15) =< aux(65) s(17) =< aux(64) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12,3*V2+9>=Out] * Chain [60,47,65,83]: 3*s(18)+1*s(21)+12 Such that:aux(66) =< V2 s(21) =< V2+1 s(18) =< aux(66) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11,3*V2+8>=Out] * Chain [60,46,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(67) =< V2 s(21) =< V2+1 it(61) =< aux(67) aux(3) =< aux(67) s(9) =< it(61)*aux(67) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12] * Chain [60,46,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(68) =< V2 s(21) =< V2+1 it(61) =< aux(68) aux(3) =< aux(68) s(9) =< it(61)*aux(68) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,46,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+10 Such that:aux(69) =< V2 s(21) =< V2+1 it(61) =< aux(69) aux(3) =< aux(69) s(9) =< it(61)*aux(69) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,46,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+8 Such that:aux(70) =< V2 s(21) =< V2+1 it(61) =< aux(70) aux(3) =< aux(70) s(9) =< it(61)*aux(70) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+11] * Chain [60,46,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(71) =< V2 s(21) =< V2+1 it(61) =< aux(71) aux(3) =< aux(71) s(9) =< it(61)*aux(71) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,46,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(72) =< V2 s(21) =< V2+1 it(61) =< aux(72) aux(3) =< aux(72) s(9) =< it(61)*aux(72) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(73) =< V2 s(21) =< V2+1 it(61) =< aux(73) aux(3) =< aux(73) s(9) =< it(61)*aux(73) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,46,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(74) =< V2 s(21) =< V2+1 it(61) =< aux(74) aux(3) =< aux(74) s(9) =< it(61)*aux(74) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(75) =< V2 s(21) =< V2+1 it(61) =< aux(75) aux(3) =< aux(75) s(9) =< it(61)*aux(75) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+16] * Chain [60,46,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(76) =< V2 s(21) =< V2+1 it(61) =< aux(76) aux(3) =< aux(76) s(9) =< it(61)*aux(76) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,46,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(77) =< V2 s(21) =< V2+1 it(61) =< aux(77) aux(3) =< aux(77) s(9) =< it(61)*aux(77) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+16] * Chain [60,46,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+14 Such that:aux(78) =< V2 s(21) =< V2+1 it(61) =< aux(78) aux(3) =< aux(78) s(9) =< it(61)*aux(78) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+17] * Chain [60,46,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(79) =< V2 s(21) =< V2+1 it(61) =< aux(79) aux(3) =< aux(79) s(9) =< it(61)*aux(79) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(80) =< V2 s(21) =< V2+1 it(61) =< aux(80) aux(3) =< aux(80) s(9) =< it(61)*aux(80) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,46,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(81) =< V2 s(21) =< V2+1 it(61) =< aux(81) aux(3) =< aux(81) s(9) =< it(61)*aux(81) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(82) =< V2 s(21) =< V2+1 it(61) =< aux(82) aux(3) =< aux(82) s(9) =< it(61)*aux(82) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,46,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(83) =< V2 s(21) =< V2+1 it(61) =< aux(83) aux(3) =< aux(83) s(9) =< it(61)*aux(83) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14] * Chain [60,46,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(84) =< V2 s(21) =< V2+1 it(61) =< aux(84) aux(3) =< aux(84) s(9) =< it(61)*aux(84) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(85) =< V2 s(21) =< V2+1 it(61) =< aux(85) aux(3) =< aux(85) s(9) =< it(61)*aux(85) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13] * Chain [60,46,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(86) =< V2 aux(87) =< V2+1 s(14) =< aux(87) it(61) =< aux(86) aux(3) =< aux(86) s(9) =< it(61)*aux(86) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+16] * Chain [60,46,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(88) =< V2 aux(89) =< V2+1 s(15) =< aux(89) it(61) =< aux(88) aux(3) =< aux(88) s(9) =< it(61)*aux(88) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+15] * Chain [60,46,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(21)+12 Such that:aux(90) =< V2 s(21) =< V2+1 it(61) =< aux(90) aux(3) =< aux(90) s(9) =< it(61)*aux(90) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,V>=V2+2,Out>=V2+14] * Chain [60,46,89]: 1*s(21)+1*s(25)+10 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+10,2*V2+9>=Out] * Chain [60,46,87]: 1*s(21)+1*s(25)+10 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,46,86]: 1*s(21)+1*s(25)+10 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,46,83]: 1*s(21)+1*s(25)+8 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+9,2*V2+8>=Out] * Chain [60,46,82,89]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,46,82,88]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,46,82,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,46,81,89]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,46,81,88]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+14,2*V2+13>=Out] * Chain [60,46,81,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,46,80,89]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+14,2*V2+13>=Out] * Chain [60,46,80,88]: 1*s(21)+1*s(25)+14 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+15,2*V2+14>=Out] * Chain [60,46,80,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,46,79,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,46,78,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,46,72,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,46,71,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+12,2*V2+11>=Out] * Chain [60,46,70,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+13,2*V2+12>=Out] * Chain [60,46,69,83]: 1*s(21)+1*s(25)+12 Such that:s(25) =< V2 s(21) =< V2+1 with precondition: [V1=1,V>=V2+2,Out>=V2+11,2*V2+10>=Out] * Chain [60,46,67,83]: 2*s(13)+2*s(14)+12 Such that:aux(91) =< V2 aux(92) =< V2+1 s(14) =< aux(92) s(13) =< aux(91) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+14,3*V2+11>=Out] * Chain [60,46,66,83]: 3*s(15)+2*s(17)+12 Such that:aux(93) =< V2 aux(94) =< V2+1 s(15) =< aux(94) s(17) =< aux(93) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+13,3*V2+10>=Out] * Chain [60,46,65,83]: 3*s(18)+1*s(21)+12 Such that:aux(95) =< V2 s(21) =< V2+1 s(18) =< aux(95) with precondition: [V1=1,V2>=2,V>=V2+2,Out>=V2+12,3*V2+9>=Out] * Chain [59,85]: 1*s(26)+1*s(27)+6 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [59,84]: 1*s(26)+1*s(27)+6 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [59,83]: 1*s(26)+1*s(27)+4 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [59,52,83]: 1*s(26)+1*s(27)+8 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [59,51,83]: 1*s(26)+1*s(27)+8 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [59,50,83]: 2*s(22)+1*s(27)+8 Such that:s(27) =< V2+1 aux(96) =< V2 s(22) =< aux(96) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [59,49,83]: 2*s(23)+1*s(27)+8 Such that:s(27) =< V2+1 aux(97) =< V2 s(23) =< aux(97) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [59,48,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(98) =< V2 it(61) =< aux(98) aux(3) =< aux(98) s(9) =< it(61)*aux(98) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [59,48,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(99) =< V2 it(61) =< aux(99) aux(3) =< aux(99) s(9) =< it(61)*aux(99) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,48,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(100) =< V2 it(61) =< aux(100) aux(3) =< aux(100) s(9) =< it(61)*aux(100) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,48,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+8 Such that:s(27) =< V2+1 aux(101) =< V2 it(61) =< aux(101) aux(3) =< aux(101) s(9) =< it(61)*aux(101) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [59,48,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(102) =< V2 it(61) =< aux(102) aux(3) =< aux(102) s(9) =< it(61)*aux(102) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,48,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(103) =< V2 it(61) =< aux(103) aux(3) =< aux(103) s(9) =< it(61)*aux(103) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(104) =< V2 it(61) =< aux(104) aux(3) =< aux(104) s(9) =< it(61)*aux(104) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,48,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(105) =< V2 it(61) =< aux(105) aux(3) =< aux(105) s(9) =< it(61)*aux(105) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(106) =< V2 it(61) =< aux(106) aux(3) =< aux(106) s(9) =< it(61)*aux(106) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,48,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(107) =< V2 it(61) =< aux(107) aux(3) =< aux(107) s(9) =< it(61)*aux(107) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,48,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(108) =< V2 it(61) =< aux(108) aux(3) =< aux(108) s(9) =< it(61)*aux(108) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,48,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(109) =< V2 it(61) =< aux(109) aux(3) =< aux(109) s(9) =< it(61)*aux(109) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,48,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(110) =< V2 it(61) =< aux(110) aux(3) =< aux(110) s(9) =< it(61)*aux(110) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(111) =< V2 it(61) =< aux(111) aux(3) =< aux(111) s(9) =< it(61)*aux(111) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,48,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(112) =< V2 it(61) =< aux(112) aux(3) =< aux(112) s(9) =< it(61)*aux(112) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(113) =< V2 it(61) =< aux(113) aux(3) =< aux(113) s(9) =< it(61)*aux(113) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,48,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(114) =< V2 it(61) =< aux(114) aux(3) =< aux(114) s(9) =< it(61)*aux(114) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,48,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(115) =< V2 it(61) =< aux(115) aux(3) =< aux(115) s(9) =< it(61)*aux(115) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(116) =< V2 it(61) =< aux(116) aux(3) =< aux(116) s(9) =< it(61)*aux(116) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,48,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(117) =< V2 aux(118) =< V2+1 it(61) =< aux(117) s(14) =< aux(118) aux(3) =< aux(117) s(9) =< it(61)*aux(117) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [59,48,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(119) =< V2 aux(120) =< V2+1 it(61) =< aux(119) s(15) =< aux(120) aux(3) =< aux(119) s(9) =< it(61)*aux(119) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [59,48,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(121) =< V2 it(61) =< aux(121) aux(3) =< aux(121) s(9) =< it(61)*aux(121) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [59,48,89]: 1*s(26)+1*s(27)+10 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [59,48,87]: 1*s(26)+1*s(27)+10 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [59,48,86]: 1*s(26)+1*s(27)+10 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [59,48,83]: 1*s(26)+1*s(27)+8 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [59,48,82,89]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [59,48,82,88]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [59,48,82,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [59,48,81,89]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [59,48,81,88]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [59,48,81,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [59,48,80,89]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [59,48,80,88]: 1*s(26)+1*s(27)+14 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=13,V>=V2+2,V2+12>=Out] * Chain [59,48,80,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [59,48,79,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [59,48,78,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [59,48,72,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [59,48,71,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [59,48,70,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [59,48,69,83]: 1*s(26)+1*s(27)+12 Such that:s(26) =< V2 s(27) =< V2+1 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [59,48,67,83]: 2*s(13)+2*s(14)+12 Such that:aux(122) =< V2 aux(123) =< V2+1 s(13) =< aux(122) s(14) =< aux(123) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,2*V2+9>=Out] * Chain [59,48,66,83]: 3*s(15)+2*s(17)+12 Such that:aux(124) =< V2 aux(125) =< V2+1 s(17) =< aux(124) s(15) =< aux(125) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,2*V2+8>=Out] * Chain [59,48,65,83]: 3*s(18)+1*s(27)+12 Such that:s(27) =< V2+1 aux(126) =< V2 s(18) =< aux(126) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [59,47,[61,62,63,64],89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(127) =< V2 it(61) =< aux(127) aux(3) =< aux(127) s(9) =< it(61)*aux(127) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,47,[61,62,63,64],87]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(128) =< V2 it(61) =< aux(128) aux(3) =< aux(128) s(9) =< it(61)*aux(128) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,47,[61,62,63,64],86]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(129) =< V2 it(61) =< aux(129) aux(3) =< aux(129) s(9) =< it(61)*aux(129) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,47,[61,62,63,64],83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+8 Such that:s(27) =< V2+1 aux(130) =< V2 it(61) =< aux(130) aux(3) =< aux(130) s(9) =< it(61)*aux(130) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [59,47,[61,62,63,64],82,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(131) =< V2 it(61) =< aux(131) aux(3) =< aux(131) s(9) =< it(61)*aux(131) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,47,[61,62,63,64],82,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(132) =< V2 it(61) =< aux(132) aux(3) =< aux(132) s(9) =< it(61)*aux(132) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],82,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(133) =< V2 it(61) =< aux(133) aux(3) =< aux(133) s(9) =< it(61)*aux(133) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,47,[61,62,63,64],81,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(134) =< V2 it(61) =< aux(134) aux(3) =< aux(134) s(9) =< it(61)*aux(134) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],81,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(135) =< V2 it(61) =< aux(135) aux(3) =< aux(135) s(9) =< it(61)*aux(135) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,47,[61,62,63,64],81,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(136) =< V2 it(61) =< aux(136) aux(3) =< aux(136) s(9) =< it(61)*aux(136) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,47,[61,62,63,64],80,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(137) =< V2 it(61) =< aux(137) aux(3) =< aux(137) s(9) =< it(61)*aux(137) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,47,[61,62,63,64],80,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(138) =< V2 it(61) =< aux(138) aux(3) =< aux(138) s(9) =< it(61)*aux(138) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=16,V>=V2+2] * Chain [59,47,[61,62,63,64],80,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(139) =< V2 it(61) =< aux(139) aux(3) =< aux(139) s(9) =< it(61)*aux(139) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],79,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(140) =< V2 it(61) =< aux(140) aux(3) =< aux(140) s(9) =< it(61)*aux(140) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,47,[61,62,63,64],78,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(141) =< V2 it(61) =< aux(141) aux(3) =< aux(141) s(9) =< it(61)*aux(141) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],72,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(142) =< V2 it(61) =< aux(142) aux(3) =< aux(142) s(9) =< it(61)*aux(142) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,47,[61,62,63,64],71,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(143) =< V2 it(61) =< aux(143) aux(3) =< aux(143) s(9) =< it(61)*aux(143) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,47,[61,62,63,64],70,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(144) =< V2 it(61) =< aux(144) aux(3) =< aux(144) s(9) =< it(61)*aux(144) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],69,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(145) =< V2 it(61) =< aux(145) aux(3) =< aux(145) s(9) =< it(61)*aux(145) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,47,[61,62,63,64],67,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(146) =< V2 aux(147) =< V2+1 it(61) =< aux(146) s(14) =< aux(147) aux(3) =< aux(146) s(9) =< it(61)*aux(146) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=15,V>=V2+2] * Chain [59,47,[61,62,63,64],66,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(148) =< V2 aux(149) =< V2+1 it(61) =< aux(148) s(15) =< aux(149) aux(3) =< aux(148) s(9) =< it(61)*aux(148) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [59,47,[61,62,63,64],65,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(150) =< V2 it(61) =< aux(150) aux(3) =< aux(150) s(9) =< it(61)*aux(150) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [59,47,89]: 2*s(24)+1*s(27)+10 Such that:s(27) =< V2+1 aux(151) =< V2 s(24) =< aux(151) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [59,47,87]: 2*s(24)+1*s(27)+10 Such that:s(27) =< V2+1 aux(152) =< V2 s(24) =< aux(152) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [59,47,86]: 2*s(24)+1*s(27)+10 Such that:s(27) =< V2+1 aux(153) =< V2 s(24) =< aux(153) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,47,83]: 2*s(24)+1*s(27)+8 Such that:s(27) =< V2+1 aux(154) =< V2 s(24) =< aux(154) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [59,47,82,89]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(155) =< V2 s(24) =< aux(155) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,47,82,88]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(156) =< V2 s(24) =< aux(156) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,47,82,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(157) =< V2 s(24) =< aux(157) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [59,47,81,89]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(158) =< V2 s(24) =< aux(158) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,47,81,88]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(159) =< V2 s(24) =< aux(159) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,47,81,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(160) =< V2 s(24) =< aux(160) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,47,80,89]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(161) =< V2 s(24) =< aux(161) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,47,80,88]: 2*s(24)+1*s(27)+14 Such that:s(27) =< V2+1 aux(162) =< V2 s(24) =< aux(162) with precondition: [V1=1,Out>=14,V>=V2+2,2*V2+12>=Out] * Chain [59,47,80,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(163) =< V2 s(24) =< aux(163) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,47,79,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(164) =< V2 s(24) =< aux(164) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,47,78,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(165) =< V2 s(24) =< aux(165) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,47,72,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(166) =< V2 s(24) =< aux(166) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [59,47,71,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(167) =< V2 s(24) =< aux(167) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,47,70,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(168) =< V2 s(24) =< aux(168) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,47,69,83]: 2*s(24)+1*s(27)+12 Such that:s(27) =< V2+1 aux(169) =< V2 s(24) =< aux(169) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [59,47,67,83]: 3*s(13)+2*s(14)+12 Such that:aux(170) =< V2 aux(171) =< V2+1 s(13) =< aux(170) s(14) =< aux(171) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2,3*V2+9>=Out] * Chain [59,47,66,83]: 3*s(15)+3*s(17)+12 Such that:aux(172) =< V2 aux(173) =< V2+1 s(17) =< aux(172) s(15) =< aux(173) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,3*V2+8>=Out] * Chain [59,47,65,83]: 4*s(18)+1*s(27)+12 Such that:s(27) =< V2+1 aux(174) =< V2 s(18) =< aux(174) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,3*V2+7>=Out] * Chain [59,46,[61,62,63,64],89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(175) =< V2 it(61) =< aux(175) aux(3) =< aux(175) s(9) =< it(61)*aux(175) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [59,46,[61,62,63,64],87]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(176) =< V2 it(61) =< aux(176) aux(3) =< aux(176) s(9) =< it(61)*aux(176) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,46,[61,62,63,64],86]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+10 Such that:s(27) =< V2+1 aux(177) =< V2 it(61) =< aux(177) aux(3) =< aux(177) s(9) =< it(61)*aux(177) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,46,[61,62,63,64],83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+8 Such that:s(27) =< V2+1 aux(178) =< V2 it(61) =< aux(178) aux(3) =< aux(178) s(9) =< it(61)*aux(178) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [59,46,[61,62,63,64],82,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(179) =< V2 it(61) =< aux(179) aux(3) =< aux(179) s(9) =< it(61)*aux(179) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,46,[61,62,63,64],82,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(180) =< V2 it(61) =< aux(180) aux(3) =< aux(180) s(9) =< it(61)*aux(180) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],82,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(181) =< V2 it(61) =< aux(181) aux(3) =< aux(181) s(9) =< it(61)*aux(181) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,46,[61,62,63,64],81,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(182) =< V2 it(61) =< aux(182) aux(3) =< aux(182) s(9) =< it(61)*aux(182) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],81,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(183) =< V2 it(61) =< aux(183) aux(3) =< aux(183) s(9) =< it(61)*aux(183) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=16,V>=V2+2] * Chain [59,46,[61,62,63,64],81,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(184) =< V2 it(61) =< aux(184) aux(3) =< aux(184) s(9) =< it(61)*aux(184) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,46,[61,62,63,64],80,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(185) =< V2 it(61) =< aux(185) aux(3) =< aux(185) s(9) =< it(61)*aux(185) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=16,V>=V2+2] * Chain [59,46,[61,62,63,64],80,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+14 Such that:s(27) =< V2+1 aux(186) =< V2 it(61) =< aux(186) aux(3) =< aux(186) s(9) =< it(61)*aux(186) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=17,V>=V2+2] * Chain [59,46,[61,62,63,64],80,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(187) =< V2 it(61) =< aux(187) aux(3) =< aux(187) s(9) =< it(61)*aux(187) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],79,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(188) =< V2 it(61) =< aux(188) aux(3) =< aux(188) s(9) =< it(61)*aux(188) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,46,[61,62,63,64],78,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(189) =< V2 it(61) =< aux(189) aux(3) =< aux(189) s(9) =< it(61)*aux(189) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],72,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(190) =< V2 it(61) =< aux(190) aux(3) =< aux(190) s(9) =< it(61)*aux(190) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,46,[61,62,63,64],71,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(191) =< V2 it(61) =< aux(191) aux(3) =< aux(191) s(9) =< it(61)*aux(191) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [59,46,[61,62,63,64],70,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(192) =< V2 it(61) =< aux(192) aux(3) =< aux(192) s(9) =< it(61)*aux(192) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],69,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(193) =< V2 it(61) =< aux(193) aux(3) =< aux(193) s(9) =< it(61)*aux(193) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [59,46,[61,62,63,64],67,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(14)+12 Such that:aux(194) =< V2 aux(195) =< V2+1 it(61) =< aux(194) s(14) =< aux(195) aux(3) =< aux(194) s(9) =< it(61)*aux(194) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=16,V>=V2+2] * Chain [59,46,[61,62,63,64],66,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(15)+12 Such that:aux(196) =< V2 aux(197) =< V2+1 it(61) =< aux(196) s(15) =< aux(197) aux(3) =< aux(196) s(9) =< it(61)*aux(196) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=15,V>=V2+2] * Chain [59,46,[61,62,63,64],65,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(27)+12 Such that:s(27) =< V2+1 aux(198) =< V2 it(61) =< aux(198) aux(3) =< aux(198) s(9) =< it(61)*aux(198) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [59,46,89]: 2*s(25)+1*s(27)+10 Such that:s(27) =< V2+1 aux(199) =< V2 s(25) =< aux(199) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [59,46,87]: 2*s(25)+1*s(27)+10 Such that:s(27) =< V2+1 aux(200) =< V2 s(25) =< aux(200) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,46,86]: 2*s(25)+1*s(27)+10 Such that:s(27) =< V2+1 aux(201) =< V2 s(25) =< aux(201) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,46,83]: 2*s(25)+1*s(27)+8 Such that:s(27) =< V2+1 aux(202) =< V2 s(25) =< aux(202) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [59,46,82,89]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(203) =< V2 s(25) =< aux(203) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,46,82,88]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(204) =< V2 s(25) =< aux(204) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,46,82,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(205) =< V2 s(25) =< aux(205) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,46,81,89]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(206) =< V2 s(25) =< aux(206) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,46,81,88]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(207) =< V2 s(25) =< aux(207) with precondition: [V1=1,Out>=14,V>=V2+2,2*V2+12>=Out] * Chain [59,46,81,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(208) =< V2 s(25) =< aux(208) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,46,80,89]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(209) =< V2 s(25) =< aux(209) with precondition: [V1=1,Out>=14,V>=V2+2,2*V2+12>=Out] * Chain [59,46,80,88]: 2*s(25)+1*s(27)+14 Such that:s(27) =< V2+1 aux(210) =< V2 s(25) =< aux(210) with precondition: [V1=1,Out>=15,V>=V2+2,2*V2+13>=Out] * Chain [59,46,80,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(211) =< V2 s(25) =< aux(211) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,46,79,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(212) =< V2 s(25) =< aux(212) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,46,78,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(213) =< V2 s(25) =< aux(213) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,46,72,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(214) =< V2 s(25) =< aux(214) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,46,71,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(215) =< V2 s(25) =< aux(215) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [59,46,70,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(216) =< V2 s(25) =< aux(216) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [59,46,69,83]: 2*s(25)+1*s(27)+12 Such that:s(27) =< V2+1 aux(217) =< V2 s(25) =< aux(217) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [59,46,67,83]: 3*s(13)+2*s(14)+12 Such that:aux(218) =< V2 aux(219) =< V2+1 s(13) =< aux(218) s(14) =< aux(219) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2,3*V2+10>=Out] * Chain [59,46,66,83]: 3*s(15)+3*s(17)+12 Such that:aux(220) =< V2 aux(221) =< V2+1 s(17) =< aux(220) s(15) =< aux(221) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2,3*V2+9>=Out] * Chain [59,46,65,83]: 4*s(18)+1*s(27)+12 Such that:s(27) =< V2+1 aux(222) =< V2 s(18) =< aux(222) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,3*V2+8>=Out] * Chain [58,85]: 2*s(28)+1*s(30)+6 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [58,84]: 2*s(28)+1*s(30)+6 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [58,83]: 2*s(28)+1*s(30)+4 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=4,V>=V2+2,V2+3>=Out] * Chain [58,52,83]: 2*s(28)+1*s(30)+8 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [58,51,83]: 2*s(28)+1*s(30)+8 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [58,50,83]: 2*s(22)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(224) =< V2 s(22) =< aux(224) s(28) =< aux(223) with precondition: [V1=1,Out>=7,V>=V2+2,2*V2+5>=Out] * Chain [58,49,83]: 2*s(23)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(225) =< V2 s(23) =< aux(225) s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [58,48,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(226) =< V2 it(61) =< aux(226) aux(3) =< aux(226) s(9) =< it(61)*aux(226) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [58,48,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(227) =< V2 it(61) =< aux(227) aux(3) =< aux(227) s(9) =< it(61)*aux(227) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,48,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(228) =< V2 it(61) =< aux(228) aux(3) =< aux(228) s(9) =< it(61)*aux(228) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,48,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(229) =< V2 it(61) =< aux(229) aux(3) =< aux(229) s(9) =< it(61)*aux(229) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [58,48,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(230) =< V2 it(61) =< aux(230) aux(3) =< aux(230) s(9) =< it(61)*aux(230) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,48,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(231) =< V2 it(61) =< aux(231) aux(3) =< aux(231) s(9) =< it(61)*aux(231) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(232) =< V2 it(61) =< aux(232) aux(3) =< aux(232) s(9) =< it(61)*aux(232) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,48,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(233) =< V2 it(61) =< aux(233) aux(3) =< aux(233) s(9) =< it(61)*aux(233) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(234) =< V2 it(61) =< aux(234) aux(3) =< aux(234) s(9) =< it(61)*aux(234) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,48,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(235) =< V2 it(61) =< aux(235) aux(3) =< aux(235) s(9) =< it(61)*aux(235) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,48,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(236) =< V2 it(61) =< aux(236) aux(3) =< aux(236) s(9) =< it(61)*aux(236) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,48,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(237) =< V2 it(61) =< aux(237) aux(3) =< aux(237) s(9) =< it(61)*aux(237) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,48,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(238) =< V2 it(61) =< aux(238) aux(3) =< aux(238) s(9) =< it(61)*aux(238) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(239) =< V2 it(61) =< aux(239) aux(3) =< aux(239) s(9) =< it(61)*aux(239) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,48,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(240) =< V2 it(61) =< aux(240) aux(3) =< aux(240) s(9) =< it(61)*aux(240) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(241) =< V2 it(61) =< aux(241) aux(3) =< aux(241) s(9) =< it(61)*aux(241) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,48,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(242) =< V2 it(61) =< aux(242) aux(3) =< aux(242) s(9) =< it(61)*aux(242) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,48,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(243) =< V2 it(61) =< aux(243) aux(3) =< aux(243) s(9) =< it(61)*aux(243) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(244) =< V2 it(61) =< aux(244) aux(3) =< aux(244) s(9) =< it(61)*aux(244) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,48,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(14)+12 Such that:aux(245) =< V2 aux(246) =< V2+1 it(61) =< aux(245) s(14) =< aux(246) aux(3) =< aux(245) s(9) =< it(61)*aux(245) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [58,48,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+4*s(15)+12 Such that:aux(247) =< V2 aux(248) =< V2+1 it(61) =< aux(247) s(15) =< aux(248) aux(3) =< aux(247) s(9) =< it(61)*aux(247) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [58,48,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(249) =< V2 it(61) =< aux(249) aux(3) =< aux(249) s(9) =< it(61)*aux(249) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [58,48,89]: 2*s(28)+1*s(30)+10 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [58,48,87]: 2*s(28)+1*s(30)+10 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [58,48,86]: 2*s(28)+1*s(30)+10 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [58,48,83]: 2*s(28)+1*s(30)+8 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [58,48,82,89]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [58,48,82,88]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [58,48,82,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [58,48,81,89]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [58,48,81,88]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [58,48,81,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [58,48,80,89]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [58,48,80,88]: 2*s(28)+1*s(30)+14 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [58,48,80,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [58,48,79,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [58,48,78,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [58,48,72,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [58,48,71,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [58,48,70,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [58,48,69,83]: 2*s(28)+1*s(30)+12 Such that:s(30) =< V2 aux(223) =< V2+1 s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [58,48,67,83]: 2*s(13)+3*s(14)+12 Such that:aux(250) =< V2 aux(251) =< V2+1 s(13) =< aux(250) s(14) =< aux(251) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,2*V2+8>=Out] * Chain [58,48,66,83]: 4*s(15)+2*s(17)+12 Such that:aux(252) =< V2 aux(253) =< V2+1 s(17) =< aux(252) s(15) =< aux(253) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [58,48,65,83]: 3*s(18)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(254) =< V2 s(18) =< aux(254) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2,2*V2+6>=Out] * Chain [58,47,[61,62,63,64],89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(255) =< V2 it(61) =< aux(255) aux(3) =< aux(255) s(9) =< it(61)*aux(255) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,47,[61,62,63,64],87]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(256) =< V2 it(61) =< aux(256) aux(3) =< aux(256) s(9) =< it(61)*aux(256) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,47,[61,62,63,64],86]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(257) =< V2 it(61) =< aux(257) aux(3) =< aux(257) s(9) =< it(61)*aux(257) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,47,[61,62,63,64],83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(258) =< V2 it(61) =< aux(258) aux(3) =< aux(258) s(9) =< it(61)*aux(258) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [58,47,[61,62,63,64],82,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(259) =< V2 it(61) =< aux(259) aux(3) =< aux(259) s(9) =< it(61)*aux(259) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,47,[61,62,63,64],82,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(260) =< V2 it(61) =< aux(260) aux(3) =< aux(260) s(9) =< it(61)*aux(260) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],82,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(261) =< V2 it(61) =< aux(261) aux(3) =< aux(261) s(9) =< it(61)*aux(261) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,47,[61,62,63,64],81,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(262) =< V2 it(61) =< aux(262) aux(3) =< aux(262) s(9) =< it(61)*aux(262) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],81,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(263) =< V2 it(61) =< aux(263) aux(3) =< aux(263) s(9) =< it(61)*aux(263) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,47,[61,62,63,64],81,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(264) =< V2 it(61) =< aux(264) aux(3) =< aux(264) s(9) =< it(61)*aux(264) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,47,[61,62,63,64],80,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(265) =< V2 it(61) =< aux(265) aux(3) =< aux(265) s(9) =< it(61)*aux(265) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,47,[61,62,63,64],80,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(266) =< V2 it(61) =< aux(266) aux(3) =< aux(266) s(9) =< it(61)*aux(266) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [58,47,[61,62,63,64],80,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(267) =< V2 it(61) =< aux(267) aux(3) =< aux(267) s(9) =< it(61)*aux(267) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],79,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(268) =< V2 it(61) =< aux(268) aux(3) =< aux(268) s(9) =< it(61)*aux(268) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,47,[61,62,63,64],78,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(269) =< V2 it(61) =< aux(269) aux(3) =< aux(269) s(9) =< it(61)*aux(269) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],72,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(270) =< V2 it(61) =< aux(270) aux(3) =< aux(270) s(9) =< it(61)*aux(270) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,47,[61,62,63,64],71,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(271) =< V2 it(61) =< aux(271) aux(3) =< aux(271) s(9) =< it(61)*aux(271) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,47,[61,62,63,64],70,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(272) =< V2 it(61) =< aux(272) aux(3) =< aux(272) s(9) =< it(61)*aux(272) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],69,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(273) =< V2 it(61) =< aux(273) aux(3) =< aux(273) s(9) =< it(61)*aux(273) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,47,[61,62,63,64],67,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(14)+12 Such that:aux(274) =< V2 aux(275) =< V2+1 it(61) =< aux(274) s(14) =< aux(275) aux(3) =< aux(274) s(9) =< it(61)*aux(274) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [58,47,[61,62,63,64],66,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+4*s(15)+12 Such that:aux(276) =< V2 aux(277) =< V2+1 it(61) =< aux(276) s(15) =< aux(277) aux(3) =< aux(276) s(9) =< it(61)*aux(276) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [58,47,[61,62,63,64],65,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(278) =< V2 it(61) =< aux(278) aux(3) =< aux(278) s(9) =< it(61)*aux(278) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [58,47,89]: 2*s(24)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(279) =< V2 s(24) =< aux(279) s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [58,47,87]: 2*s(24)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(280) =< V2 s(24) =< aux(280) s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [58,47,86]: 2*s(24)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(281) =< V2 s(24) =< aux(281) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,47,83]: 2*s(24)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(282) =< V2 s(24) =< aux(282) s(28) =< aux(223) with precondition: [V1=1,Out>=7,V>=V2+2,2*V2+5>=Out] * Chain [58,47,82,89]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(283) =< V2 s(24) =< aux(283) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,47,82,88]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(284) =< V2 s(24) =< aux(284) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,47,82,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(285) =< V2 s(24) =< aux(285) s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [58,47,81,89]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(286) =< V2 s(24) =< aux(286) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,47,81,88]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(287) =< V2 s(24) =< aux(287) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,47,81,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(288) =< V2 s(24) =< aux(288) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,47,80,89]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(289) =< V2 s(24) =< aux(289) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,47,80,88]: 2*s(24)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(290) =< V2 s(24) =< aux(290) s(28) =< aux(223) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [58,47,80,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(291) =< V2 s(24) =< aux(291) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,47,79,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(292) =< V2 s(24) =< aux(292) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,47,78,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(293) =< V2 s(24) =< aux(293) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,47,72,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(294) =< V2 s(24) =< aux(294) s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [58,47,71,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(295) =< V2 s(24) =< aux(295) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,47,70,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(296) =< V2 s(24) =< aux(296) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,47,69,83]: 2*s(24)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(297) =< V2 s(24) =< aux(297) s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [58,47,67,83]: 3*s(13)+3*s(14)+12 Such that:aux(298) =< V2 aux(299) =< V2+1 s(13) =< aux(298) s(14) =< aux(299) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,3*V2+8>=Out] * Chain [58,47,66,83]: 4*s(15)+3*s(17)+12 Such that:aux(300) =< V2 aux(301) =< V2+1 s(17) =< aux(300) s(15) =< aux(301) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,3*V2+7>=Out] * Chain [58,47,65,83]: 4*s(18)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(302) =< V2 s(18) =< aux(302) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,3*V2+6>=Out] * Chain [58,46,[61,62,63,64],89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(303) =< V2 it(61) =< aux(303) aux(3) =< aux(303) s(9) =< it(61)*aux(303) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [58,46,[61,62,63,64],87]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(304) =< V2 it(61) =< aux(304) aux(3) =< aux(304) s(9) =< it(61)*aux(304) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,46,[61,62,63,64],86]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(305) =< V2 it(61) =< aux(305) aux(3) =< aux(305) s(9) =< it(61)*aux(305) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,46,[61,62,63,64],83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(306) =< V2 it(61) =< aux(306) aux(3) =< aux(306) s(9) =< it(61)*aux(306) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [58,46,[61,62,63,64],82,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(307) =< V2 it(61) =< aux(307) aux(3) =< aux(307) s(9) =< it(61)*aux(307) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,46,[61,62,63,64],82,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(308) =< V2 it(61) =< aux(308) aux(3) =< aux(308) s(9) =< it(61)*aux(308) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],82,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(309) =< V2 it(61) =< aux(309) aux(3) =< aux(309) s(9) =< it(61)*aux(309) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,46,[61,62,63,64],81,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(310) =< V2 it(61) =< aux(310) aux(3) =< aux(310) s(9) =< it(61)*aux(310) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],81,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(311) =< V2 it(61) =< aux(311) aux(3) =< aux(311) s(9) =< it(61)*aux(311) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [58,46,[61,62,63,64],81,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(312) =< V2 it(61) =< aux(312) aux(3) =< aux(312) s(9) =< it(61)*aux(312) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,46,[61,62,63,64],80,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(313) =< V2 it(61) =< aux(313) aux(3) =< aux(313) s(9) =< it(61)*aux(313) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [58,46,[61,62,63,64],80,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(314) =< V2 it(61) =< aux(314) aux(3) =< aux(314) s(9) =< it(61)*aux(314) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=16,V>=V2+2] * Chain [58,46,[61,62,63,64],80,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(315) =< V2 it(61) =< aux(315) aux(3) =< aux(315) s(9) =< it(61)*aux(315) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],79,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(316) =< V2 it(61) =< aux(316) aux(3) =< aux(316) s(9) =< it(61)*aux(316) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,46,[61,62,63,64],78,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(317) =< V2 it(61) =< aux(317) aux(3) =< aux(317) s(9) =< it(61)*aux(317) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],72,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(318) =< V2 it(61) =< aux(318) aux(3) =< aux(318) s(9) =< it(61)*aux(318) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,46,[61,62,63,64],71,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(319) =< V2 it(61) =< aux(319) aux(3) =< aux(319) s(9) =< it(61)*aux(319) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [58,46,[61,62,63,64],70,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(320) =< V2 it(61) =< aux(320) aux(3) =< aux(320) s(9) =< it(61)*aux(320) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],69,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(321) =< V2 it(61) =< aux(321) aux(3) =< aux(321) s(9) =< it(61)*aux(321) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [58,46,[61,62,63,64],67,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+3*s(14)+12 Such that:aux(322) =< V2 aux(323) =< V2+1 it(61) =< aux(322) s(14) =< aux(323) aux(3) =< aux(322) s(9) =< it(61)*aux(322) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=15,V>=V2+2] * Chain [58,46,[61,62,63,64],66,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+4*s(15)+12 Such that:aux(324) =< V2 aux(325) =< V2+1 it(61) =< aux(324) s(15) =< aux(325) aux(3) =< aux(324) s(9) =< it(61)*aux(324) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [58,46,[61,62,63,64],65,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(326) =< V2 it(61) =< aux(326) aux(3) =< aux(326) s(9) =< it(61)*aux(326) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) s(28) =< aux(223) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [58,46,89]: 2*s(25)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(327) =< V2 s(25) =< aux(327) s(28) =< aux(223) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [58,46,87]: 2*s(25)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(328) =< V2 s(25) =< aux(328) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,46,86]: 2*s(25)+2*s(28)+10 Such that:aux(223) =< V2+1 aux(329) =< V2 s(25) =< aux(329) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,46,83]: 2*s(25)+2*s(28)+8 Such that:aux(223) =< V2+1 aux(330) =< V2 s(25) =< aux(330) s(28) =< aux(223) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [58,46,82,89]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(331) =< V2 s(25) =< aux(331) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,46,82,88]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(332) =< V2 s(25) =< aux(332) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,46,82,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(333) =< V2 s(25) =< aux(333) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,46,81,89]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(334) =< V2 s(25) =< aux(334) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,46,81,88]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(335) =< V2 s(25) =< aux(335) s(28) =< aux(223) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [58,46,81,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(336) =< V2 s(25) =< aux(336) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,46,80,89]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(337) =< V2 s(25) =< aux(337) s(28) =< aux(223) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [58,46,80,88]: 2*s(25)+2*s(28)+14 Such that:aux(223) =< V2+1 aux(338) =< V2 s(25) =< aux(338) s(28) =< aux(223) with precondition: [V1=1,Out>=14,V>=V2+2,2*V2+12>=Out] * Chain [58,46,80,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(339) =< V2 s(25) =< aux(339) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,46,79,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(340) =< V2 s(25) =< aux(340) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,46,78,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(341) =< V2 s(25) =< aux(341) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,46,72,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(342) =< V2 s(25) =< aux(342) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,46,71,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(343) =< V2 s(25) =< aux(343) s(28) =< aux(223) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [58,46,70,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(344) =< V2 s(25) =< aux(344) s(28) =< aux(223) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [58,46,69,83]: 2*s(25)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(345) =< V2 s(25) =< aux(345) s(28) =< aux(223) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [58,46,67,83]: 3*s(13)+3*s(14)+12 Such that:aux(346) =< V2 aux(347) =< V2+1 s(13) =< aux(346) s(14) =< aux(347) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2,3*V2+9>=Out] * Chain [58,46,66,83]: 4*s(15)+3*s(17)+12 Such that:aux(348) =< V2 aux(349) =< V2+1 s(17) =< aux(348) s(15) =< aux(349) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,3*V2+8>=Out] * Chain [58,46,65,83]: 4*s(18)+2*s(28)+12 Such that:aux(223) =< V2+1 aux(350) =< V2 s(18) =< aux(350) s(28) =< aux(223) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,3*V2+7>=Out] * Chain [57,85]: 6 with precondition: [V1=1,Out=3,V2>=1,V>=V2+2] * Chain [57,84]: 6 with precondition: [V1=1,Out=4,V2>=1,V>=V2+2] * Chain [57,83]: 4 with precondition: [V1=1,Out=2,V2>=1,V>=V2+2] * Chain [57,52,83]: 8 with precondition: [V1=1,Out=4,V2>=1,V>=V2+2] * Chain [57,51,83]: 8 with precondition: [V1=1,Out=5,V2>=1,V>=V2+2] * Chain [57,50,83]: 1*s(22)+8 Such that:s(22) =< V2 with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [57,49,83]: 1*s(23)+8 Such that:s(23) =< V2 with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [57,48,[61,62,63,64],89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(7) =< V2 it(61) =< aux(7) aux(3) =< aux(7) s(9) =< it(61)*aux(7) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=7,V>=V2+2] * Chain [57,48,[61,62,63,64],87]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(8) =< V2 it(61) =< aux(8) aux(3) =< aux(8) s(9) =< it(61)*aux(8) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,48,[61,62,63,64],86]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(9) =< V2 it(61) =< aux(9) aux(3) =< aux(9) s(9) =< it(61)*aux(9) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,48,[61,62,63,64],83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(10) =< V2 it(61) =< aux(10) aux(3) =< aux(10) s(9) =< it(61)*aux(10) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=6,V>=V2+2] * Chain [57,48,[61,62,63,64],82,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(11) =< V2 it(61) =< aux(11) aux(3) =< aux(11) s(9) =< it(61)*aux(11) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,48,[61,62,63,64],82,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(12) =< V2 it(61) =< aux(12) aux(3) =< aux(12) s(9) =< it(61)*aux(12) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],82,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(13) =< V2 it(61) =< aux(13) aux(3) =< aux(13) s(9) =< it(61)*aux(13) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,48,[61,62,63,64],81,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(14) =< V2 it(61) =< aux(14) aux(3) =< aux(14) s(9) =< it(61)*aux(14) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],81,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(15) =< V2 it(61) =< aux(15) aux(3) =< aux(15) s(9) =< it(61)*aux(15) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,48,[61,62,63,64],81,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(16) =< V2 it(61) =< aux(16) aux(3) =< aux(16) s(9) =< it(61)*aux(16) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,48,[61,62,63,64],80,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(17) =< V2 it(61) =< aux(17) aux(3) =< aux(17) s(9) =< it(61)*aux(17) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,48,[61,62,63,64],80,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(18) =< V2 it(61) =< aux(18) aux(3) =< aux(18) s(9) =< it(61)*aux(18) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,48,[61,62,63,64],80,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(19) =< V2 it(61) =< aux(19) aux(3) =< aux(19) s(9) =< it(61)*aux(19) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],79,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(20) =< V2 it(61) =< aux(20) aux(3) =< aux(20) s(9) =< it(61)*aux(20) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,48,[61,62,63,64],78,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(21) =< V2 it(61) =< aux(21) aux(3) =< aux(21) s(9) =< it(61)*aux(21) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],72,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(22) =< V2 it(61) =< aux(22) aux(3) =< aux(22) s(9) =< it(61)*aux(22) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,48,[61,62,63,64],71,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(23) =< V2 it(61) =< aux(23) aux(3) =< aux(23) s(9) =< it(61)*aux(23) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,48,[61,62,63,64],70,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(24) =< V2 it(61) =< aux(24) aux(3) =< aux(24) s(9) =< it(61)*aux(24) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],69,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(25) =< V2 it(61) =< aux(25) aux(3) =< aux(25) s(9) =< it(61)*aux(25) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,48,[61,62,63,64],67,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(31) =< V2 s(14) =< V2+1 it(61) =< aux(31) aux(3) =< aux(31) s(9) =< it(61)*aux(31) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [57,48,[61,62,63,64],66,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(33) =< V2 aux(27) =< V2+1 it(61) =< aux(33) s(15) =< aux(27) aux(3) =< aux(33) s(9) =< it(61)*aux(33) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=10,V>=V2+2] * Chain [57,48,[61,62,63,64],65,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(35) =< V2 it(61) =< aux(35) aux(3) =< aux(35) s(9) =< it(61)*aux(35) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=9,V>=V2+2] * Chain [57,48,89]: 10 with precondition: [V1=1,Out=5,V2>=1,V>=V2+2] * Chain [57,48,87]: 10 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [57,48,86]: 10 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [57,48,83]: 8 with precondition: [V1=1,Out=4,V2>=1,V>=V2+2] * Chain [57,48,82,89]: 14 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [57,48,82,88]: 14 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [57,48,82,83]: 12 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [57,48,81,89]: 14 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [57,48,81,88]: 14 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [57,48,81,83]: 12 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [57,48,80,89]: 14 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [57,48,80,88]: 14 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [57,48,80,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [57,48,79,83]: 12 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [57,48,78,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [57,48,72,83]: 12 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [57,48,71,83]: 12 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [57,48,70,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [57,48,69,83]: 12 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [57,48,67,83]: 1*s(13)+1*s(14)+12 Such that:s(13) =< V2 s(14) =< V2+1 with precondition: [V1=1,Out>=9,V>=V2+2,V2+7>=Out] * Chain [57,48,66,83]: 2*s(15)+1*s(17)+12 Such that:s(17) =< V2 aux(27) =< V2+1 s(15) =< aux(27) with precondition: [V1=1,Out>=8,V>=V2+2,V2+6>=Out] * Chain [57,48,65,83]: 2*s(18)+12 Such that:aux(29) =< V2 s(18) =< aux(29) with precondition: [V1=1,Out>=7,V>=V2+2,V2+5>=Out] * Chain [57,47,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(38) =< V2 it(61) =< aux(38) aux(3) =< aux(38) s(9) =< it(61)*aux(38) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,47,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(39) =< V2 it(61) =< aux(39) aux(3) =< aux(39) s(9) =< it(61)*aux(39) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,47,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(40) =< V2 it(61) =< aux(40) aux(3) =< aux(40) s(9) =< it(61)*aux(40) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,47,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(41) =< V2 it(61) =< aux(41) aux(3) =< aux(41) s(9) =< it(61)*aux(41) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=7,V>=V2+2] * Chain [57,47,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(42) =< V2 it(61) =< aux(42) aux(3) =< aux(42) s(9) =< it(61)*aux(42) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,47,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(43) =< V2 it(61) =< aux(43) aux(3) =< aux(43) s(9) =< it(61)*aux(43) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(44) =< V2 it(61) =< aux(44) aux(3) =< aux(44) s(9) =< it(61)*aux(44) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,47,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(45) =< V2 it(61) =< aux(45) aux(3) =< aux(45) s(9) =< it(61)*aux(45) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(46) =< V2 it(61) =< aux(46) aux(3) =< aux(46) s(9) =< it(61)*aux(46) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,47,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(47) =< V2 it(61) =< aux(47) aux(3) =< aux(47) s(9) =< it(61)*aux(47) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,47,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(48) =< V2 it(61) =< aux(48) aux(3) =< aux(48) s(9) =< it(61)*aux(48) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,47,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(49) =< V2 it(61) =< aux(49) aux(3) =< aux(49) s(9) =< it(61)*aux(49) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [57,47,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(50) =< V2 it(61) =< aux(50) aux(3) =< aux(50) s(9) =< it(61)*aux(50) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(51) =< V2 it(61) =< aux(51) aux(3) =< aux(51) s(9) =< it(61)*aux(51) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,47,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(52) =< V2 it(61) =< aux(52) aux(3) =< aux(52) s(9) =< it(61)*aux(52) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(53) =< V2 it(61) =< aux(53) aux(3) =< aux(53) s(9) =< it(61)*aux(53) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,47,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(54) =< V2 it(61) =< aux(54) aux(3) =< aux(54) s(9) =< it(61)*aux(54) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,47,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(55) =< V2 it(61) =< aux(55) aux(3) =< aux(55) s(9) =< it(61)*aux(55) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(56) =< V2 it(61) =< aux(56) aux(3) =< aux(56) s(9) =< it(61)*aux(56) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,47,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(57) =< V2 s(14) =< V2+1 it(61) =< aux(57) aux(3) =< aux(57) s(9) =< it(61)*aux(57) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [57,47,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(59) =< V2 aux(27) =< V2+1 it(61) =< aux(59) s(15) =< aux(27) aux(3) =< aux(59) s(9) =< it(61)*aux(59) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [57,47,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(61) =< V2 it(61) =< aux(61) aux(3) =< aux(61) s(9) =< it(61)*aux(61) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=10,V>=V2+2] * Chain [57,47,89]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [57,47,87]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [57,47,86]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,47,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [57,47,82,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,47,82,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,47,82,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [57,47,81,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,47,81,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,47,81,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,47,80,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,47,80,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [57,47,80,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,47,79,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,47,78,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,47,72,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [57,47,71,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,47,70,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,47,69,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [57,47,67,83]: 2*s(13)+1*s(14)+12 Such that:aux(62) =< V2 s(14) =< V2+1 s(13) =< aux(62) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [57,47,66,83]: 2*s(15)+2*s(17)+12 Such that:aux(64) =< V2 aux(27) =< V2+1 s(17) =< aux(64) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2,2*V2+6>=Out] * Chain [57,47,65,83]: 3*s(18)+12 Such that:aux(66) =< V2 s(18) =< aux(66) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2,2*V2+5>=Out] * Chain [57,46,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(67) =< V2 it(61) =< aux(67) aux(3) =< aux(67) s(9) =< it(61)*aux(67) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [57,46,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(68) =< V2 it(61) =< aux(68) aux(3) =< aux(68) s(9) =< it(61)*aux(68) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,46,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(69) =< V2 it(61) =< aux(69) aux(3) =< aux(69) s(9) =< it(61)*aux(69) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,46,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(70) =< V2 it(61) =< aux(70) aux(3) =< aux(70) s(9) =< it(61)*aux(70) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [57,46,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(71) =< V2 it(61) =< aux(71) aux(3) =< aux(71) s(9) =< it(61)*aux(71) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,46,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(72) =< V2 it(61) =< aux(72) aux(3) =< aux(72) s(9) =< it(61)*aux(72) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(73) =< V2 it(61) =< aux(73) aux(3) =< aux(73) s(9) =< it(61)*aux(73) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,46,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(74) =< V2 it(61) =< aux(74) aux(3) =< aux(74) s(9) =< it(61)*aux(74) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(75) =< V2 it(61) =< aux(75) aux(3) =< aux(75) s(9) =< it(61)*aux(75) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [57,46,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(76) =< V2 it(61) =< aux(76) aux(3) =< aux(76) s(9) =< it(61)*aux(76) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,46,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(77) =< V2 it(61) =< aux(77) aux(3) =< aux(77) s(9) =< it(61)*aux(77) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [57,46,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(78) =< V2 it(61) =< aux(78) aux(3) =< aux(78) s(9) =< it(61)*aux(78) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [57,46,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(79) =< V2 it(61) =< aux(79) aux(3) =< aux(79) s(9) =< it(61)*aux(79) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(80) =< V2 it(61) =< aux(80) aux(3) =< aux(80) s(9) =< it(61)*aux(80) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,46,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(81) =< V2 it(61) =< aux(81) aux(3) =< aux(81) s(9) =< it(61)*aux(81) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(82) =< V2 it(61) =< aux(82) aux(3) =< aux(82) s(9) =< it(61)*aux(82) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,46,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(83) =< V2 it(61) =< aux(83) aux(3) =< aux(83) s(9) =< it(61)*aux(83) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [57,46,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(84) =< V2 it(61) =< aux(84) aux(3) =< aux(84) s(9) =< it(61)*aux(84) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(85) =< V2 it(61) =< aux(85) aux(3) =< aux(85) s(9) =< it(61)*aux(85) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [57,46,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(86) =< V2 s(14) =< V2+1 it(61) =< aux(86) aux(3) =< aux(86) s(9) =< it(61)*aux(86) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [57,46,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(88) =< V2 aux(27) =< V2+1 it(61) =< aux(88) s(15) =< aux(27) aux(3) =< aux(88) s(9) =< it(61)*aux(88) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [57,46,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(90) =< V2 it(61) =< aux(90) aux(3) =< aux(90) s(9) =< it(61)*aux(90) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [57,46,89]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [57,46,87]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,46,86]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,46,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [57,46,82,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,46,82,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,46,82,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,46,81,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,46,81,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [57,46,81,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,46,80,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [57,46,80,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [57,46,80,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,46,79,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,46,78,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,46,72,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,46,71,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [57,46,70,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [57,46,69,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [57,46,67,83]: 2*s(13)+1*s(14)+12 Such that:aux(91) =< V2 s(14) =< V2+1 s(13) =< aux(91) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,2*V2+8>=Out] * Chain [57,46,66,83]: 2*s(15)+2*s(17)+12 Such that:aux(93) =< V2 aux(27) =< V2+1 s(17) =< aux(93) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [57,46,65,83]: 3*s(18)+12 Such that:aux(95) =< V2 s(18) =< aux(95) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2,2*V2+6>=Out] * Chain [56,85]: 2*s(31)+6 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=4,V>=V2+2,V2+3>=Out] * Chain [56,84]: 2*s(31)+6 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [56,83]: 2*s(31)+4 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=3,V>=V2+2,V2+2>=Out] * Chain [56,52,83]: 2*s(31)+8 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [56,51,83]: 2*s(31)+8 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [56,50,83]: 3*s(22)+8 Such that:aux(352) =< V2 s(22) =< aux(352) with precondition: [V1=1,Out>=6,V>=V2+2,2*V2+4>=Out] * Chain [56,49,83]: 3*s(23)+8 Such that:aux(353) =< V2 s(23) =< aux(353) with precondition: [V1=1,Out>=7,V>=V2+2,2*V2+5>=Out] * Chain [56,48,[61,62,63,64],89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(354) =< V2 it(61) =< aux(354) aux(3) =< aux(354) s(9) =< it(61)*aux(354) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [56,48,[61,62,63,64],87]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(355) =< V2 it(61) =< aux(355) aux(3) =< aux(355) s(9) =< it(61)*aux(355) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,48,[61,62,63,64],86]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(356) =< V2 it(61) =< aux(356) aux(3) =< aux(356) s(9) =< it(61)*aux(356) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,48,[61,62,63,64],83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(357) =< V2 it(61) =< aux(357) aux(3) =< aux(357) s(9) =< it(61)*aux(357) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=7,V>=V2+2] * Chain [56,48,[61,62,63,64],82,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(358) =< V2 it(61) =< aux(358) aux(3) =< aux(358) s(9) =< it(61)*aux(358) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,48,[61,62,63,64],82,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(359) =< V2 it(61) =< aux(359) aux(3) =< aux(359) s(9) =< it(61)*aux(359) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],82,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(360) =< V2 it(61) =< aux(360) aux(3) =< aux(360) s(9) =< it(61)*aux(360) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,48,[61,62,63,64],81,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(361) =< V2 it(61) =< aux(361) aux(3) =< aux(361) s(9) =< it(61)*aux(361) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],81,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(362) =< V2 it(61) =< aux(362) aux(3) =< aux(362) s(9) =< it(61)*aux(362) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,48,[61,62,63,64],81,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(363) =< V2 it(61) =< aux(363) aux(3) =< aux(363) s(9) =< it(61)*aux(363) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,48,[61,62,63,64],80,89]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(364) =< V2 it(61) =< aux(364) aux(3) =< aux(364) s(9) =< it(61)*aux(364) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,48,[61,62,63,64],80,88]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(365) =< V2 it(61) =< aux(365) aux(3) =< aux(365) s(9) =< it(61)*aux(365) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,48,[61,62,63,64],80,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(366) =< V2 it(61) =< aux(366) aux(3) =< aux(366) s(9) =< it(61)*aux(366) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],79,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(367) =< V2 it(61) =< aux(367) aux(3) =< aux(367) s(9) =< it(61)*aux(367) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,48,[61,62,63,64],78,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(368) =< V2 it(61) =< aux(368) aux(3) =< aux(368) s(9) =< it(61)*aux(368) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],72,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(369) =< V2 it(61) =< aux(369) aux(3) =< aux(369) s(9) =< it(61)*aux(369) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,48,[61,62,63,64],71,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(370) =< V2 it(61) =< aux(370) aux(3) =< aux(370) s(9) =< it(61)*aux(370) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,48,[61,62,63,64],70,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(371) =< V2 it(61) =< aux(371) aux(3) =< aux(371) s(9) =< it(61)*aux(371) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],69,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(372) =< V2 it(61) =< aux(372) aux(3) =< aux(372) s(9) =< it(61)*aux(372) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,48,[61,62,63,64],67,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:s(14) =< V2+1 aux(373) =< V2 it(61) =< aux(373) aux(3) =< aux(373) s(9) =< it(61)*aux(373) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [56,48,[61,62,63,64],66,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(27) =< V2+1 aux(374) =< V2 it(61) =< aux(374) s(15) =< aux(27) aux(3) =< aux(374) s(9) =< it(61)*aux(374) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [56,48,[61,62,63,64],65,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(375) =< V2 it(61) =< aux(375) aux(3) =< aux(375) s(9) =< it(61)*aux(375) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=10,V>=V2+2] * Chain [56,48,89]: 2*s(31)+10 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=6,V>=V2+2,V2+5>=Out] * Chain [56,48,87]: 2*s(31)+10 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [56,48,86]: 2*s(31)+10 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [56,48,83]: 2*s(31)+8 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=5,V>=V2+2,V2+4>=Out] * Chain [56,48,82,89]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [56,48,82,88]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [56,48,82,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [56,48,81,89]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [56,48,81,88]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [56,48,81,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [56,48,80,89]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [56,48,80,88]: 2*s(31)+14 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [56,48,80,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [56,48,79,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [56,48,78,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [56,48,72,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [56,48,71,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [56,48,70,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [56,48,69,83]: 2*s(31)+12 Such that:aux(351) =< V2 s(31) =< aux(351) with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [56,48,67,83]: 3*s(13)+1*s(14)+12 Such that:s(14) =< V2+1 aux(376) =< V2 s(13) =< aux(376) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [56,48,66,83]: 2*s(15)+3*s(17)+12 Such that:aux(27) =< V2+1 aux(377) =< V2 s(17) =< aux(377) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2,2*V2+6>=Out] * Chain [56,48,65,83]: 4*s(18)+12 Such that:aux(378) =< V2 s(18) =< aux(378) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2,2*V2+5>=Out] * Chain [56,47,[61,62,63,64],89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(379) =< V2 it(61) =< aux(379) aux(3) =< aux(379) s(9) =< it(61)*aux(379) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,47,[61,62,63,64],87]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(380) =< V2 it(61) =< aux(380) aux(3) =< aux(380) s(9) =< it(61)*aux(380) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,47,[61,62,63,64],86]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(381) =< V2 it(61) =< aux(381) aux(3) =< aux(381) s(9) =< it(61)*aux(381) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,47,[61,62,63,64],83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(382) =< V2 it(61) =< aux(382) aux(3) =< aux(382) s(9) =< it(61)*aux(382) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [56,47,[61,62,63,64],82,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(383) =< V2 it(61) =< aux(383) aux(3) =< aux(383) s(9) =< it(61)*aux(383) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,47,[61,62,63,64],82,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(384) =< V2 it(61) =< aux(384) aux(3) =< aux(384) s(9) =< it(61)*aux(384) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],82,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(385) =< V2 it(61) =< aux(385) aux(3) =< aux(385) s(9) =< it(61)*aux(385) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,47,[61,62,63,64],81,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(386) =< V2 it(61) =< aux(386) aux(3) =< aux(386) s(9) =< it(61)*aux(386) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],81,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(387) =< V2 it(61) =< aux(387) aux(3) =< aux(387) s(9) =< it(61)*aux(387) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,47,[61,62,63,64],81,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(388) =< V2 it(61) =< aux(388) aux(3) =< aux(388) s(9) =< it(61)*aux(388) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,47,[61,62,63,64],80,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(389) =< V2 it(61) =< aux(389) aux(3) =< aux(389) s(9) =< it(61)*aux(389) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,47,[61,62,63,64],80,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(390) =< V2 it(61) =< aux(390) aux(3) =< aux(390) s(9) =< it(61)*aux(390) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [56,47,[61,62,63,64],80,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(391) =< V2 it(61) =< aux(391) aux(3) =< aux(391) s(9) =< it(61)*aux(391) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],79,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(392) =< V2 it(61) =< aux(392) aux(3) =< aux(392) s(9) =< it(61)*aux(392) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,47,[61,62,63,64],78,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(393) =< V2 it(61) =< aux(393) aux(3) =< aux(393) s(9) =< it(61)*aux(393) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],72,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(394) =< V2 it(61) =< aux(394) aux(3) =< aux(394) s(9) =< it(61)*aux(394) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,47,[61,62,63,64],71,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(395) =< V2 it(61) =< aux(395) aux(3) =< aux(395) s(9) =< it(61)*aux(395) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,47,[61,62,63,64],70,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(396) =< V2 it(61) =< aux(396) aux(3) =< aux(396) s(9) =< it(61)*aux(396) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],69,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(397) =< V2 it(61) =< aux(397) aux(3) =< aux(397) s(9) =< it(61)*aux(397) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,47,[61,62,63,64],67,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:s(14) =< V2+1 aux(398) =< V2 it(61) =< aux(398) aux(3) =< aux(398) s(9) =< it(61)*aux(398) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [56,47,[61,62,63,64],66,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(27) =< V2+1 aux(399) =< V2 it(61) =< aux(399) s(15) =< aux(27) aux(3) =< aux(399) s(9) =< it(61)*aux(399) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [56,47,[61,62,63,64],65,83]: 21*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(400) =< V2 it(61) =< aux(400) aux(3) =< aux(400) s(9) =< it(61)*aux(400) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [56,47,89]: 3*s(24)+10 Such that:aux(401) =< V2 s(24) =< aux(401) with precondition: [V1=1,Out>=7,V>=V2+2,2*V2+5>=Out] * Chain [56,47,87]: 3*s(24)+10 Such that:aux(402) =< V2 s(24) =< aux(402) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [56,47,86]: 3*s(24)+10 Such that:aux(403) =< V2 s(24) =< aux(403) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,47,83]: 3*s(24)+8 Such that:aux(404) =< V2 s(24) =< aux(404) with precondition: [V1=1,Out>=6,V>=V2+2,2*V2+4>=Out] * Chain [56,47,82,89]: 3*s(24)+14 Such that:aux(405) =< V2 s(24) =< aux(405) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,47,82,88]: 3*s(24)+14 Such that:aux(406) =< V2 s(24) =< aux(406) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,47,82,83]: 3*s(24)+12 Such that:aux(407) =< V2 s(24) =< aux(407) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [56,47,81,89]: 3*s(24)+14 Such that:aux(408) =< V2 s(24) =< aux(408) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,47,81,88]: 3*s(24)+14 Such that:aux(409) =< V2 s(24) =< aux(409) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,47,81,83]: 3*s(24)+12 Such that:aux(410) =< V2 s(24) =< aux(410) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,47,80,89]: 3*s(24)+14 Such that:aux(411) =< V2 s(24) =< aux(411) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,47,80,88]: 3*s(24)+14 Such that:aux(412) =< V2 s(24) =< aux(412) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [56,47,80,83]: 3*s(24)+12 Such that:aux(413) =< V2 s(24) =< aux(413) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,47,79,83]: 3*s(24)+12 Such that:aux(414) =< V2 s(24) =< aux(414) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,47,78,83]: 3*s(24)+12 Such that:aux(415) =< V2 s(24) =< aux(415) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,47,72,83]: 3*s(24)+12 Such that:aux(416) =< V2 s(24) =< aux(416) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [56,47,71,83]: 3*s(24)+12 Such that:aux(417) =< V2 s(24) =< aux(417) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,47,70,83]: 3*s(24)+12 Such that:aux(418) =< V2 s(24) =< aux(418) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,47,69,83]: 3*s(24)+12 Such that:aux(419) =< V2 s(24) =< aux(419) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [56,47,67,83]: 4*s(13)+1*s(14)+12 Such that:s(14) =< V2+1 aux(420) =< V2 s(13) =< aux(420) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,3*V2+7>=Out] * Chain [56,47,66,83]: 2*s(15)+4*s(17)+12 Such that:aux(27) =< V2+1 aux(421) =< V2 s(17) =< aux(421) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,3*V2+6>=Out] * Chain [56,47,65,83]: 5*s(18)+12 Such that:aux(422) =< V2 s(18) =< aux(422) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2,3*V2+5>=Out] * Chain [56,46,[61,62,63,64],89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(423) =< V2 it(61) =< aux(423) aux(3) =< aux(423) s(9) =< it(61)*aux(423) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [56,46,[61,62,63,64],87]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(424) =< V2 it(61) =< aux(424) aux(3) =< aux(424) s(9) =< it(61)*aux(424) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,46,[61,62,63,64],86]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(425) =< V2 it(61) =< aux(425) aux(3) =< aux(425) s(9) =< it(61)*aux(425) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,46,[61,62,63,64],83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(426) =< V2 it(61) =< aux(426) aux(3) =< aux(426) s(9) =< it(61)*aux(426) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [56,46,[61,62,63,64],82,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(427) =< V2 it(61) =< aux(427) aux(3) =< aux(427) s(9) =< it(61)*aux(427) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,46,[61,62,63,64],82,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(428) =< V2 it(61) =< aux(428) aux(3) =< aux(428) s(9) =< it(61)*aux(428) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],82,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(429) =< V2 it(61) =< aux(429) aux(3) =< aux(429) s(9) =< it(61)*aux(429) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,46,[61,62,63,64],81,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(430) =< V2 it(61) =< aux(430) aux(3) =< aux(430) s(9) =< it(61)*aux(430) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],81,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(431) =< V2 it(61) =< aux(431) aux(3) =< aux(431) s(9) =< it(61)*aux(431) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [56,46,[61,62,63,64],81,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(432) =< V2 it(61) =< aux(432) aux(3) =< aux(432) s(9) =< it(61)*aux(432) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,46,[61,62,63,64],80,89]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(433) =< V2 it(61) =< aux(433) aux(3) =< aux(433) s(9) =< it(61)*aux(433) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [56,46,[61,62,63,64],80,88]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(434) =< V2 it(61) =< aux(434) aux(3) =< aux(434) s(9) =< it(61)*aux(434) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [56,46,[61,62,63,64],80,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(435) =< V2 it(61) =< aux(435) aux(3) =< aux(435) s(9) =< it(61)*aux(435) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],79,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(436) =< V2 it(61) =< aux(436) aux(3) =< aux(436) s(9) =< it(61)*aux(436) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,46,[61,62,63,64],78,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(437) =< V2 it(61) =< aux(437) aux(3) =< aux(437) s(9) =< it(61)*aux(437) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],72,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(438) =< V2 it(61) =< aux(438) aux(3) =< aux(438) s(9) =< it(61)*aux(438) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,46,[61,62,63,64],71,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(439) =< V2 it(61) =< aux(439) aux(3) =< aux(439) s(9) =< it(61)*aux(439) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [56,46,[61,62,63,64],70,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(440) =< V2 it(61) =< aux(440) aux(3) =< aux(440) s(9) =< it(61)*aux(440) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],69,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(441) =< V2 it(61) =< aux(441) aux(3) =< aux(441) s(9) =< it(61)*aux(441) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [56,46,[61,62,63,64],67,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:s(14) =< V2+1 aux(442) =< V2 it(61) =< aux(442) aux(3) =< aux(442) s(9) =< it(61)*aux(442) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [56,46,[61,62,63,64],66,83]: 20*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(27) =< V2+1 aux(443) =< V2 it(61) =< aux(443) s(15) =< aux(27) aux(3) =< aux(443) s(9) =< it(61)*aux(443) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [56,46,[61,62,63,64],65,83]: 21*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(444) =< V2 it(61) =< aux(444) aux(3) =< aux(444) s(9) =< it(61)*aux(444) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [56,46,89]: 3*s(25)+10 Such that:aux(445) =< V2 s(25) =< aux(445) with precondition: [V1=1,Out>=8,V>=V2+2,2*V2+6>=Out] * Chain [56,46,87]: 3*s(25)+10 Such that:aux(446) =< V2 s(25) =< aux(446) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,46,86]: 3*s(25)+10 Such that:aux(447) =< V2 s(25) =< aux(447) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,46,83]: 3*s(25)+8 Such that:aux(448) =< V2 s(25) =< aux(448) with precondition: [V1=1,Out>=7,V>=V2+2,2*V2+5>=Out] * Chain [56,46,82,89]: 3*s(25)+14 Such that:aux(449) =< V2 s(25) =< aux(449) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,46,82,88]: 3*s(25)+14 Such that:aux(450) =< V2 s(25) =< aux(450) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,46,82,83]: 3*s(25)+12 Such that:aux(451) =< V2 s(25) =< aux(451) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,46,81,89]: 3*s(25)+14 Such that:aux(452) =< V2 s(25) =< aux(452) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,46,81,88]: 3*s(25)+14 Such that:aux(453) =< V2 s(25) =< aux(453) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [56,46,81,83]: 3*s(25)+12 Such that:aux(454) =< V2 s(25) =< aux(454) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,46,80,89]: 3*s(25)+14 Such that:aux(455) =< V2 s(25) =< aux(455) with precondition: [V1=1,Out>=12,V>=V2+2,2*V2+10>=Out] * Chain [56,46,80,88]: 3*s(25)+14 Such that:aux(456) =< V2 s(25) =< aux(456) with precondition: [V1=1,Out>=13,V>=V2+2,2*V2+11>=Out] * Chain [56,46,80,83]: 3*s(25)+12 Such that:aux(457) =< V2 s(25) =< aux(457) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,46,79,83]: 3*s(25)+12 Such that:aux(458) =< V2 s(25) =< aux(458) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,46,78,83]: 3*s(25)+12 Such that:aux(459) =< V2 s(25) =< aux(459) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,46,72,83]: 3*s(25)+12 Such that:aux(460) =< V2 s(25) =< aux(460) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,46,71,83]: 3*s(25)+12 Such that:aux(461) =< V2 s(25) =< aux(461) with precondition: [V1=1,Out>=10,V>=V2+2,2*V2+8>=Out] * Chain [56,46,70,83]: 3*s(25)+12 Such that:aux(462) =< V2 s(25) =< aux(462) with precondition: [V1=1,Out>=11,V>=V2+2,2*V2+9>=Out] * Chain [56,46,69,83]: 3*s(25)+12 Such that:aux(463) =< V2 s(25) =< aux(463) with precondition: [V1=1,Out>=9,V>=V2+2,2*V2+7>=Out] * Chain [56,46,67,83]: 4*s(13)+1*s(14)+12 Such that:s(14) =< V2+1 aux(464) =< V2 s(13) =< aux(464) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,3*V2+8>=Out] * Chain [56,46,66,83]: 2*s(15)+4*s(17)+12 Such that:aux(27) =< V2+1 aux(465) =< V2 s(17) =< aux(465) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,3*V2+7>=Out] * Chain [56,46,65,83]: 5*s(18)+12 Such that:aux(466) =< V2 s(18) =< aux(466) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,3*V2+6>=Out] * Chain [55,85]: 6 with precondition: [V1=1,Out=5,V2>=1,V>=V2+2] * Chain [55,84]: 6 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [55,83]: 4 with precondition: [V1=1,Out=4,V2>=1,V>=V2+2] * Chain [55,52,83]: 8 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [55,51,83]: 8 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [55,50,83]: 1*s(22)+8 Such that:s(22) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [55,49,83]: 1*s(23)+8 Such that:s(23) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [55,48,[61,62,63,64],89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(7) =< V2 it(61) =< aux(7) aux(3) =< aux(7) s(9) =< it(61)*aux(7) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [55,48,[61,62,63,64],87]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(8) =< V2 it(61) =< aux(8) aux(3) =< aux(8) s(9) =< it(61)*aux(8) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,48,[61,62,63,64],86]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(9) =< V2 it(61) =< aux(9) aux(3) =< aux(9) s(9) =< it(61)*aux(9) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,48,[61,62,63,64],83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(10) =< V2 it(61) =< aux(10) aux(3) =< aux(10) s(9) =< it(61)*aux(10) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=8,V>=V2+2] * Chain [55,48,[61,62,63,64],82,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(11) =< V2 it(61) =< aux(11) aux(3) =< aux(11) s(9) =< it(61)*aux(11) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,48,[61,62,63,64],82,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(12) =< V2 it(61) =< aux(12) aux(3) =< aux(12) s(9) =< it(61)*aux(12) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],82,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(13) =< V2 it(61) =< aux(13) aux(3) =< aux(13) s(9) =< it(61)*aux(13) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,48,[61,62,63,64],81,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(14) =< V2 it(61) =< aux(14) aux(3) =< aux(14) s(9) =< it(61)*aux(14) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],81,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(15) =< V2 it(61) =< aux(15) aux(3) =< aux(15) s(9) =< it(61)*aux(15) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,48,[61,62,63,64],81,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(16) =< V2 it(61) =< aux(16) aux(3) =< aux(16) s(9) =< it(61)*aux(16) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,48,[61,62,63,64],80,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(17) =< V2 it(61) =< aux(17) aux(3) =< aux(17) s(9) =< it(61)*aux(17) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,48,[61,62,63,64],80,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(18) =< V2 it(61) =< aux(18) aux(3) =< aux(18) s(9) =< it(61)*aux(18) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,48,[61,62,63,64],80,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(19) =< V2 it(61) =< aux(19) aux(3) =< aux(19) s(9) =< it(61)*aux(19) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],79,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(20) =< V2 it(61) =< aux(20) aux(3) =< aux(20) s(9) =< it(61)*aux(20) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,48,[61,62,63,64],78,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(21) =< V2 it(61) =< aux(21) aux(3) =< aux(21) s(9) =< it(61)*aux(21) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],72,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(22) =< V2 it(61) =< aux(22) aux(3) =< aux(22) s(9) =< it(61)*aux(22) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,48,[61,62,63,64],71,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(23) =< V2 it(61) =< aux(23) aux(3) =< aux(23) s(9) =< it(61)*aux(23) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,48,[61,62,63,64],70,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(24) =< V2 it(61) =< aux(24) aux(3) =< aux(24) s(9) =< it(61)*aux(24) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],69,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(25) =< V2 it(61) =< aux(25) aux(3) =< aux(25) s(9) =< it(61)*aux(25) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,48,[61,62,63,64],67,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(31) =< V2 s(14) =< V2+1 it(61) =< aux(31) aux(3) =< aux(31) s(9) =< it(61)*aux(31) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [55,48,[61,62,63,64],66,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(33) =< V2 aux(27) =< V2+1 it(61) =< aux(33) s(15) =< aux(27) aux(3) =< aux(33) s(9) =< it(61)*aux(33) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [55,48,[61,62,63,64],65,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(35) =< V2 it(61) =< aux(35) aux(3) =< aux(35) s(9) =< it(61)*aux(35) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=11,V>=V2+2] * Chain [55,48,89]: 10 with precondition: [V1=1,Out=7,V2>=1,V>=V2+2] * Chain [55,48,87]: 10 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [55,48,86]: 10 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [55,48,83]: 8 with precondition: [V1=1,Out=6,V2>=1,V>=V2+2] * Chain [55,48,82,89]: 14 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [55,48,82,88]: 14 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [55,48,82,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [55,48,81,89]: 14 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [55,48,81,88]: 14 with precondition: [V1=1,Out=11,V2>=1,V>=V2+2] * Chain [55,48,81,83]: 12 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [55,48,80,89]: 14 with precondition: [V1=1,Out=11,V2>=1,V>=V2+2] * Chain [55,48,80,88]: 14 with precondition: [V1=1,Out=12,V2>=1,V>=V2+2] * Chain [55,48,80,83]: 12 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [55,48,79,83]: 12 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [55,48,78,83]: 12 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [55,48,72,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [55,48,71,83]: 12 with precondition: [V1=1,Out=9,V2>=1,V>=V2+2] * Chain [55,48,70,83]: 12 with precondition: [V1=1,Out=10,V2>=1,V>=V2+2] * Chain [55,48,69,83]: 12 with precondition: [V1=1,Out=8,V2>=1,V>=V2+2] * Chain [55,48,67,83]: 1*s(13)+1*s(14)+12 Such that:s(13) =< V2 s(14) =< V2+1 with precondition: [V1=1,Out>=11,V>=V2+2,V2+9>=Out] * Chain [55,48,66,83]: 2*s(15)+1*s(17)+12 Such that:s(17) =< V2 aux(27) =< V2+1 s(15) =< aux(27) with precondition: [V1=1,Out>=10,V>=V2+2,V2+8>=Out] * Chain [55,48,65,83]: 2*s(18)+12 Such that:aux(29) =< V2 s(18) =< aux(29) with precondition: [V1=1,Out>=9,V>=V2+2,V2+7>=Out] * Chain [55,47,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(38) =< V2 it(61) =< aux(38) aux(3) =< aux(38) s(9) =< it(61)*aux(38) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,47,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(39) =< V2 it(61) =< aux(39) aux(3) =< aux(39) s(9) =< it(61)*aux(39) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,47,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(40) =< V2 it(61) =< aux(40) aux(3) =< aux(40) s(9) =< it(61)*aux(40) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,47,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(41) =< V2 it(61) =< aux(41) aux(3) =< aux(41) s(9) =< it(61)*aux(41) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=9,V>=V2+2] * Chain [55,47,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(42) =< V2 it(61) =< aux(42) aux(3) =< aux(42) s(9) =< it(61)*aux(42) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,47,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(43) =< V2 it(61) =< aux(43) aux(3) =< aux(43) s(9) =< it(61)*aux(43) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(44) =< V2 it(61) =< aux(44) aux(3) =< aux(44) s(9) =< it(61)*aux(44) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,47,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(45) =< V2 it(61) =< aux(45) aux(3) =< aux(45) s(9) =< it(61)*aux(45) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(46) =< V2 it(61) =< aux(46) aux(3) =< aux(46) s(9) =< it(61)*aux(46) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,47,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(47) =< V2 it(61) =< aux(47) aux(3) =< aux(47) s(9) =< it(61)*aux(47) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,47,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(48) =< V2 it(61) =< aux(48) aux(3) =< aux(48) s(9) =< it(61)*aux(48) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,47,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(49) =< V2 it(61) =< aux(49) aux(3) =< aux(49) s(9) =< it(61)*aux(49) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [55,47,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(50) =< V2 it(61) =< aux(50) aux(3) =< aux(50) s(9) =< it(61)*aux(50) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(51) =< V2 it(61) =< aux(51) aux(3) =< aux(51) s(9) =< it(61)*aux(51) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,47,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(52) =< V2 it(61) =< aux(52) aux(3) =< aux(52) s(9) =< it(61)*aux(52) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(53) =< V2 it(61) =< aux(53) aux(3) =< aux(53) s(9) =< it(61)*aux(53) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,47,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(54) =< V2 it(61) =< aux(54) aux(3) =< aux(54) s(9) =< it(61)*aux(54) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,47,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(55) =< V2 it(61) =< aux(55) aux(3) =< aux(55) s(9) =< it(61)*aux(55) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(56) =< V2 it(61) =< aux(56) aux(3) =< aux(56) s(9) =< it(61)*aux(56) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,47,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(57) =< V2 s(14) =< V2+1 it(61) =< aux(57) aux(3) =< aux(57) s(9) =< it(61)*aux(57) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [55,47,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(59) =< V2 aux(27) =< V2+1 it(61) =< aux(59) s(15) =< aux(27) aux(3) =< aux(59) s(9) =< it(61)*aux(59) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [55,47,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(61) =< V2 it(61) =< aux(61) aux(3) =< aux(61) s(9) =< it(61)*aux(61) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=12,V>=V2+2] * Chain [55,47,89]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [55,47,87]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [55,47,86]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,47,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=1,Out>=7,V>=V2+2,V2+6>=Out] * Chain [55,47,82,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,47,82,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,47,82,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [55,47,81,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,47,81,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,47,81,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,47,80,89]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,47,80,88]: 1*s(24)+14 Such that:s(24) =< V2 with precondition: [V1=1,Out>=13,V>=V2+2,V2+12>=Out] * Chain [55,47,80,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,47,79,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,47,78,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,47,72,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [55,47,71,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,47,70,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,47,69,83]: 1*s(24)+12 Such that:s(24) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [55,47,67,83]: 2*s(13)+1*s(14)+12 Such that:aux(62) =< V2 s(14) =< V2+1 s(13) =< aux(62) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,2*V2+9>=Out] * Chain [55,47,66,83]: 2*s(15)+2*s(17)+12 Such that:aux(64) =< V2 aux(27) =< V2+1 s(17) =< aux(64) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,2*V2+8>=Out] * Chain [55,47,65,83]: 3*s(18)+12 Such that:aux(66) =< V2 s(18) =< aux(66) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2,2*V2+7>=Out] * Chain [55,46,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(67) =< V2 it(61) =< aux(67) aux(3) =< aux(67) s(9) =< it(61)*aux(67) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2] * Chain [55,46,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(68) =< V2 it(61) =< aux(68) aux(3) =< aux(68) s(9) =< it(61)*aux(68) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,46,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(69) =< V2 it(61) =< aux(69) aux(3) =< aux(69) s(9) =< it(61)*aux(69) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,46,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(70) =< V2 it(61) =< aux(70) aux(3) =< aux(70) s(9) =< it(61)*aux(70) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=10,V>=V2+2] * Chain [55,46,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(71) =< V2 it(61) =< aux(71) aux(3) =< aux(71) s(9) =< it(61)*aux(71) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,46,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(72) =< V2 it(61) =< aux(72) aux(3) =< aux(72) s(9) =< it(61)*aux(72) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(73) =< V2 it(61) =< aux(73) aux(3) =< aux(73) s(9) =< it(61)*aux(73) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,46,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(74) =< V2 it(61) =< aux(74) aux(3) =< aux(74) s(9) =< it(61)*aux(74) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(75) =< V2 it(61) =< aux(75) aux(3) =< aux(75) s(9) =< it(61)*aux(75) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [55,46,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(76) =< V2 it(61) =< aux(76) aux(3) =< aux(76) s(9) =< it(61)*aux(76) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,46,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(77) =< V2 it(61) =< aux(77) aux(3) =< aux(77) s(9) =< it(61)*aux(77) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=15,V>=V2+2] * Chain [55,46,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+14 Such that:aux(78) =< V2 it(61) =< aux(78) aux(3) =< aux(78) s(9) =< it(61)*aux(78) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=16,V>=V2+2] * Chain [55,46,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(79) =< V2 it(61) =< aux(79) aux(3) =< aux(79) s(9) =< it(61)*aux(79) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(80) =< V2 it(61) =< aux(80) aux(3) =< aux(80) s(9) =< it(61)*aux(80) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,46,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(81) =< V2 it(61) =< aux(81) aux(3) =< aux(81) s(9) =< it(61)*aux(81) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(82) =< V2 it(61) =< aux(82) aux(3) =< aux(82) s(9) =< it(61)*aux(82) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,46,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(83) =< V2 it(61) =< aux(83) aux(3) =< aux(83) s(9) =< it(61)*aux(83) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2] * Chain [55,46,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(84) =< V2 it(61) =< aux(84) aux(3) =< aux(84) s(9) =< it(61)*aux(84) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(85) =< V2 it(61) =< aux(85) aux(3) =< aux(85) s(9) =< it(61)*aux(85) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2] * Chain [55,46,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+12 Such that:aux(86) =< V2 s(14) =< V2+1 it(61) =< aux(86) aux(3) =< aux(86) s(9) =< it(61)*aux(86) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=15,V>=V2+2] * Chain [55,46,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+12 Such that:aux(88) =< V2 aux(27) =< V2+1 it(61) =< aux(88) s(15) =< aux(27) aux(3) =< aux(88) s(9) =< it(61)*aux(88) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=14,V>=V2+2] * Chain [55,46,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+12 Such that:aux(90) =< V2 it(61) =< aux(90) aux(3) =< aux(90) s(9) =< it(61)*aux(90) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=1,V2>=3,Out>=13,V>=V2+2] * Chain [55,46,89]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=9,V>=V2+2,V2+8>=Out] * Chain [55,46,87]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,46,86]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,46,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=1,Out>=8,V>=V2+2,V2+7>=Out] * Chain [55,46,82,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,46,82,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,46,82,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,46,81,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,46,81,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=13,V>=V2+2,V2+12>=Out] * Chain [55,46,81,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,46,80,89]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=13,V>=V2+2,V2+12>=Out] * Chain [55,46,80,88]: 1*s(25)+14 Such that:s(25) =< V2 with precondition: [V1=1,Out>=14,V>=V2+2,V2+13>=Out] * Chain [55,46,80,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,46,79,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,46,78,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,46,72,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,46,71,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=11,V>=V2+2,V2+10>=Out] * Chain [55,46,70,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=12,V>=V2+2,V2+11>=Out] * Chain [55,46,69,83]: 1*s(25)+12 Such that:s(25) =< V2 with precondition: [V1=1,Out>=10,V>=V2+2,V2+9>=Out] * Chain [55,46,67,83]: 2*s(13)+1*s(14)+12 Such that:aux(91) =< V2 s(14) =< V2+1 s(13) =< aux(91) with precondition: [V1=1,V2>=2,Out>=13,V>=V2+2,2*V2+10>=Out] * Chain [55,46,66,83]: 2*s(15)+2*s(17)+12 Such that:aux(93) =< V2 aux(27) =< V2+1 s(17) =< aux(93) s(15) =< aux(27) with precondition: [V1=1,V2>=2,Out>=12,V>=V2+2,2*V2+9>=Out] * Chain [55,46,65,83]: 3*s(18)+12 Such that:aux(95) =< V2 s(18) =< aux(95) with precondition: [V1=1,V2>=2,Out>=11,V>=V2+2,2*V2+8>=Out] * Chain [54,89]: 6 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [54,88]: 6 with precondition: [V1=2,V2=0,Out=4,V>=1] * Chain [54,83]: 4 with precondition: [V1=2,V2=0,Out=2,V>=1] * Chain [53,89]: 6 with precondition: [V1=2,V2=0,Out=4,V>=1] * Chain [53,88]: 6 with precondition: [V1=2,V2=0,Out=5,V>=1] * Chain [53,83]: 4 with precondition: [V1=2,V2=0,Out=3,V>=1] * Chain [52,83]: 4 with precondition: [V1=2,Out=2,V>=1,V2>=0] * Chain [51,83]: 4 with precondition: [V1=2,Out=3,V>=1,V2>=0] * Chain [50,83]: 1*s(22)+4 Such that:s(22) =< V2 with precondition: [V1=2,V>=1,Out>=3,V2+2>=Out] * Chain [49,83]: 1*s(23)+4 Such that:s(23) =< V2 with precondition: [V1=2,V>=1,Out>=4,V2+3>=Out] * Chain [48,[61,62,63,64],89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(7) =< V2 it(61) =< aux(7) aux(3) =< aux(7) s(9) =< it(61)*aux(7) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=5] * Chain [48,[61,62,63,64],87]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(8) =< V2 it(61) =< aux(8) aux(3) =< aux(8) s(9) =< it(61)*aux(8) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [48,[61,62,63,64],86]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(9) =< V2 it(61) =< aux(9) aux(3) =< aux(9) s(9) =< it(61)*aux(9) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [48,[61,62,63,64],83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(10) =< V2 it(61) =< aux(10) aux(3) =< aux(10) s(9) =< it(61)*aux(10) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=4] * Chain [48,[61,62,63,64],82,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(11) =< V2 it(61) =< aux(11) aux(3) =< aux(11) s(9) =< it(61)*aux(11) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [48,[61,62,63,64],82,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(12) =< V2 it(61) =< aux(12) aux(3) =< aux(12) s(9) =< it(61)*aux(12) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [48,[61,62,63,64],82,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(13) =< V2 it(61) =< aux(13) aux(3) =< aux(13) s(9) =< it(61)*aux(13) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [48,[61,62,63,64],81,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(14) =< V2 it(61) =< aux(14) aux(3) =< aux(14) s(9) =< it(61)*aux(14) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [48,[61,62,63,64],81,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(15) =< V2 it(61) =< aux(15) aux(3) =< aux(15) s(9) =< it(61)*aux(15) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [48,[61,62,63,64],81,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(16) =< V2 it(61) =< aux(16) aux(3) =< aux(16) s(9) =< it(61)*aux(16) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [48,[61,62,63,64],80,89]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(17) =< V2 it(61) =< aux(17) aux(3) =< aux(17) s(9) =< it(61)*aux(17) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [48,[61,62,63,64],80,88]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(18) =< V2 it(61) =< aux(18) aux(3) =< aux(18) s(9) =< it(61)*aux(18) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [48,[61,62,63,64],80,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(19) =< V2 it(61) =< aux(19) aux(3) =< aux(19) s(9) =< it(61)*aux(19) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [48,[61,62,63,64],79,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(20) =< V2 it(61) =< aux(20) aux(3) =< aux(20) s(9) =< it(61)*aux(20) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [48,[61,62,63,64],78,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(21) =< V2 it(61) =< aux(21) aux(3) =< aux(21) s(9) =< it(61)*aux(21) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [48,[61,62,63,64],72,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(22) =< V2 it(61) =< aux(22) aux(3) =< aux(22) s(9) =< it(61)*aux(22) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [48,[61,62,63,64],71,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(23) =< V2 it(61) =< aux(23) aux(3) =< aux(23) s(9) =< it(61)*aux(23) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [48,[61,62,63,64],70,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(24) =< V2 it(61) =< aux(24) aux(3) =< aux(24) s(9) =< it(61)*aux(24) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [48,[61,62,63,64],69,83]: 16*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(25) =< V2 it(61) =< aux(25) aux(3) =< aux(25) s(9) =< it(61)*aux(25) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [48,[61,62,63,64],67,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+8 Such that:s(14) =< V2+1 aux(31) =< V2 it(61) =< aux(31) aux(3) =< aux(31) s(9) =< it(61)*aux(31) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=9] * Chain [48,[61,62,63,64],66,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+8 Such that:aux(27) =< V2+1 aux(33) =< V2 it(61) =< aux(33) s(15) =< aux(27) aux(3) =< aux(33) s(9) =< it(61)*aux(33) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=8] * Chain [48,[61,62,63,64],65,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(35) =< V2 it(61) =< aux(35) aux(3) =< aux(35) s(9) =< it(61)*aux(35) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=7] * Chain [48,89]: 6 with precondition: [V1=2,Out=3,V>=1,V2>=1] * Chain [48,87]: 6 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [48,86]: 6 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [48,83]: 4 with precondition: [V1=2,Out=2,V>=1,V2>=1] * Chain [48,82,89]: 10 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [48,82,88]: 10 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [48,82,83]: 8 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [48,81,89]: 10 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [48,81,88]: 10 with precondition: [V1=2,Out=7,V>=1,V2>=1] * Chain [48,81,83]: 8 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [48,80,89]: 10 with precondition: [V1=2,Out=7,V>=1,V2>=1] * Chain [48,80,88]: 10 with precondition: [V1=2,Out=8,V>=1,V2>=1] * Chain [48,80,83]: 8 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [48,79,83]: 8 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [48,78,83]: 8 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [48,72,83]: 8 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [48,71,83]: 8 with precondition: [V1=2,Out=5,V>=1,V2>=1] * Chain [48,70,83]: 8 with precondition: [V1=2,Out=6,V>=1,V2>=1] * Chain [48,69,83]: 8 with precondition: [V1=2,Out=4,V>=1,V2>=1] * Chain [48,67,83]: 1*s(13)+1*s(14)+8 Such that:s(13) =< V2 s(14) =< V2+1 with precondition: [V1=2,V>=1,Out>=7,V2+5>=Out] * Chain [48,66,83]: 2*s(15)+1*s(17)+8 Such that:s(17) =< V2 aux(27) =< V2+1 s(15) =< aux(27) with precondition: [V1=2,V>=1,Out>=6,V2+4>=Out] * Chain [48,65,83]: 2*s(18)+8 Such that:aux(29) =< V2 s(18) =< aux(29) with precondition: [V1=2,V>=1,Out>=5,V2+3>=Out] * Chain [47,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(38) =< V2 it(61) =< aux(38) aux(3) =< aux(38) s(9) =< it(61)*aux(38) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [47,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(39) =< V2 it(61) =< aux(39) aux(3) =< aux(39) s(9) =< it(61)*aux(39) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [47,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(40) =< V2 it(61) =< aux(40) aux(3) =< aux(40) s(9) =< it(61)*aux(40) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [47,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(41) =< V2 it(61) =< aux(41) aux(3) =< aux(41) s(9) =< it(61)*aux(41) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=5] * Chain [47,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(42) =< V2 it(61) =< aux(42) aux(3) =< aux(42) s(9) =< it(61)*aux(42) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [47,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(43) =< V2 it(61) =< aux(43) aux(3) =< aux(43) s(9) =< it(61)*aux(43) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [47,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(44) =< V2 it(61) =< aux(44) aux(3) =< aux(44) s(9) =< it(61)*aux(44) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [47,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(45) =< V2 it(61) =< aux(45) aux(3) =< aux(45) s(9) =< it(61)*aux(45) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [47,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(46) =< V2 it(61) =< aux(46) aux(3) =< aux(46) s(9) =< it(61)*aux(46) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [47,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(47) =< V2 it(61) =< aux(47) aux(3) =< aux(47) s(9) =< it(61)*aux(47) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [47,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(48) =< V2 it(61) =< aux(48) aux(3) =< aux(48) s(9) =< it(61)*aux(48) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [47,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(49) =< V2 it(61) =< aux(49) aux(3) =< aux(49) s(9) =< it(61)*aux(49) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=11] * Chain [47,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(50) =< V2 it(61) =< aux(50) aux(3) =< aux(50) s(9) =< it(61)*aux(50) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [47,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(51) =< V2 it(61) =< aux(51) aux(3) =< aux(51) s(9) =< it(61)*aux(51) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [47,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(52) =< V2 it(61) =< aux(52) aux(3) =< aux(52) s(9) =< it(61)*aux(52) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [47,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(53) =< V2 it(61) =< aux(53) aux(3) =< aux(53) s(9) =< it(61)*aux(53) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [47,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(54) =< V2 it(61) =< aux(54) aux(3) =< aux(54) s(9) =< it(61)*aux(54) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [47,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(55) =< V2 it(61) =< aux(55) aux(3) =< aux(55) s(9) =< it(61)*aux(55) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [47,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(56) =< V2 it(61) =< aux(56) aux(3) =< aux(56) s(9) =< it(61)*aux(56) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [47,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+8 Such that:s(14) =< V2+1 aux(57) =< V2 it(61) =< aux(57) aux(3) =< aux(57) s(9) =< it(61)*aux(57) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=10] * Chain [47,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+8 Such that:aux(27) =< V2+1 aux(59) =< V2 it(61) =< aux(59) s(15) =< aux(27) aux(3) =< aux(59) s(9) =< it(61)*aux(59) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=9] * Chain [47,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(61) =< V2 it(61) =< aux(61) aux(3) =< aux(61) s(9) =< it(61)*aux(61) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=8] * Chain [47,89]: 1*s(24)+6 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=4,V2+3>=Out] * Chain [47,87]: 1*s(24)+6 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=5,V2+4>=Out] * Chain [47,86]: 1*s(24)+6 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [47,83]: 1*s(24)+4 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=3,V2+2>=Out] * Chain [47,82,89]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [47,82,88]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [47,82,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=5,V2+4>=Out] * Chain [47,81,89]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [47,81,88]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [47,81,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [47,80,89]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [47,80,88]: 1*s(24)+10 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=9,V2+8>=Out] * Chain [47,80,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [47,79,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [47,78,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [47,72,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=5,V2+4>=Out] * Chain [47,71,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [47,70,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [47,69,83]: 1*s(24)+8 Such that:s(24) =< V2 with precondition: [V1=2,V>=1,Out>=5,V2+4>=Out] * Chain [47,67,83]: 2*s(13)+1*s(14)+8 Such that:s(14) =< V2+1 aux(62) =< V2 s(13) =< aux(62) with precondition: [V1=2,V>=1,V2>=2,Out>=8,2*V2+5>=Out] * Chain [47,66,83]: 2*s(15)+2*s(17)+8 Such that:aux(27) =< V2+1 aux(64) =< V2 s(17) =< aux(64) s(15) =< aux(27) with precondition: [V1=2,V>=1,V2>=2,Out>=7,2*V2+4>=Out] * Chain [47,65,83]: 3*s(18)+8 Such that:aux(66) =< V2 s(18) =< aux(66) with precondition: [V1=2,V>=1,V2>=2,Out>=6,2*V2+3>=Out] * Chain [46,[61,62,63,64],89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(67) =< V2 it(61) =< aux(67) aux(3) =< aux(67) s(9) =< it(61)*aux(67) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=7] * Chain [46,[61,62,63,64],87]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(68) =< V2 it(61) =< aux(68) aux(3) =< aux(68) s(9) =< it(61)*aux(68) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [46,[61,62,63,64],86]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+6 Such that:aux(69) =< V2 it(61) =< aux(69) aux(3) =< aux(69) s(9) =< it(61)*aux(69) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [46,[61,62,63,64],83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+4 Such that:aux(70) =< V2 it(61) =< aux(70) aux(3) =< aux(70) s(9) =< it(61)*aux(70) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=6] * Chain [46,[61,62,63,64],82,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(71) =< V2 it(61) =< aux(71) aux(3) =< aux(71) s(9) =< it(61)*aux(71) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [46,[61,62,63,64],82,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(72) =< V2 it(61) =< aux(72) aux(3) =< aux(72) s(9) =< it(61)*aux(72) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [46,[61,62,63,64],82,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(73) =< V2 it(61) =< aux(73) aux(3) =< aux(73) s(9) =< it(61)*aux(73) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [46,[61,62,63,64],81,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(74) =< V2 it(61) =< aux(74) aux(3) =< aux(74) s(9) =< it(61)*aux(74) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [46,[61,62,63,64],81,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(75) =< V2 it(61) =< aux(75) aux(3) =< aux(75) s(9) =< it(61)*aux(75) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=11] * Chain [46,[61,62,63,64],81,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(76) =< V2 it(61) =< aux(76) aux(3) =< aux(76) s(9) =< it(61)*aux(76) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [46,[61,62,63,64],80,89]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(77) =< V2 it(61) =< aux(77) aux(3) =< aux(77) s(9) =< it(61)*aux(77) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=11] * Chain [46,[61,62,63,64],80,88]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+10 Such that:aux(78) =< V2 it(61) =< aux(78) aux(3) =< aux(78) s(9) =< it(61)*aux(78) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=12] * Chain [46,[61,62,63,64],80,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(79) =< V2 it(61) =< aux(79) aux(3) =< aux(79) s(9) =< it(61)*aux(79) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [46,[61,62,63,64],79,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(80) =< V2 it(61) =< aux(80) aux(3) =< aux(80) s(9) =< it(61)*aux(80) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [46,[61,62,63,64],78,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(81) =< V2 it(61) =< aux(81) aux(3) =< aux(81) s(9) =< it(61)*aux(81) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [46,[61,62,63,64],72,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(82) =< V2 it(61) =< aux(82) aux(3) =< aux(82) s(9) =< it(61)*aux(82) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [46,[61,62,63,64],71,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(83) =< V2 it(61) =< aux(83) aux(3) =< aux(83) s(9) =< it(61)*aux(83) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=9] * Chain [46,[61,62,63,64],70,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(84) =< V2 it(61) =< aux(84) aux(3) =< aux(84) s(9) =< it(61)*aux(84) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=10] * Chain [46,[61,62,63,64],69,83]: 17*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(85) =< V2 it(61) =< aux(85) aux(3) =< aux(85) s(9) =< it(61)*aux(85) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=2,Out>=8] * Chain [46,[61,62,63,64],67,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+1*s(14)+8 Such that:s(14) =< V2+1 aux(86) =< V2 it(61) =< aux(86) aux(3) =< aux(86) s(9) =< it(61)*aux(86) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=11] * Chain [46,[61,62,63,64],66,83]: 18*it(61)+1*s(9)+1*s(10)+2*s(11)+2*s(15)+8 Such that:aux(27) =< V2+1 aux(88) =< V2 it(61) =< aux(88) s(15) =< aux(27) aux(3) =< aux(88) s(9) =< it(61)*aux(88) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=10] * Chain [46,[61,62,63,64],65,83]: 19*it(61)+1*s(9)+1*s(10)+2*s(11)+8 Such that:aux(90) =< V2 it(61) =< aux(90) aux(3) =< aux(90) s(9) =< it(61)*aux(90) s(12) =< it(61)*aux(3) s(10) =< it(61)*aux(3) s(11) =< s(12) with precondition: [V1=2,V>=1,V2>=3,Out>=9] * Chain [46,89]: 1*s(25)+6 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=5,V2+4>=Out] * Chain [46,87]: 1*s(25)+6 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [46,86]: 1*s(25)+6 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [46,83]: 1*s(25)+4 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=4,V2+3>=Out] * Chain [46,82,89]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [46,82,88]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [46,82,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [46,81,89]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [46,81,88]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=9,V2+8>=Out] * Chain [46,81,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [46,80,89]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=9,V2+8>=Out] * Chain [46,80,88]: 1*s(25)+10 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=10,V2+9>=Out] * Chain [46,80,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [46,79,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [46,78,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [46,72,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [46,71,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=7,V2+6>=Out] * Chain [46,70,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=8,V2+7>=Out] * Chain [46,69,83]: 1*s(25)+8 Such that:s(25) =< V2 with precondition: [V1=2,V>=1,Out>=6,V2+5>=Out] * Chain [46,67,83]: 2*s(13)+1*s(14)+8 Such that:s(14) =< V2+1 aux(91) =< V2 s(13) =< aux(91) with precondition: [V1=2,V>=1,V2>=2,Out>=9,2*V2+6>=Out] * Chain [46,66,83]: 2*s(15)+2*s(17)+8 Such that:aux(27) =< V2+1 aux(93) =< V2 s(17) =< aux(93) s(15) =< aux(27) with precondition: [V1=2,V>=1,V2>=2,Out>=8,2*V2+5>=Out] * Chain [46,65,83]: 3*s(18)+8 Such that:aux(95) =< V2 s(18) =< aux(95) with precondition: [V1=2,V>=1,V2>=2,Out>=7,2*V2+4>=Out] #### Cost of chains of start(V1,V,V2): * Chain [95]: 1*s(4698)+1*s(4699)+1 Such that:s(4699) =< V s(4698) =< V+1 with precondition: [V1>=0] * Chain [94]: 7584*s(4702)+646*s(4703)+2*s(4729)+1*s(4730)+3*s(4732)+2*s(4734)+4*s(4736)+5*s(4738)+5*s(4740)+2*s(4746)+1*s(4747)+352*s(4757)+22*s(4759)+22*s(4761)+44*s(4762)+396*s(4768)+396*s(4770)+792*s(4771)+14 Such that:s(4752) =< V s(4730) =< V2+6 s(4731) =< V2+7 s(4733) =< V2+8 s(4735) =< V2+9 s(4737) =< V2+10 s(4739) =< V2+11 s(4726) =< 2*V2+4 s(4743) =< 2*V2+11 s(4747) =< 2*V2+12 aux(513) =< V2 aux(514) =< V2+1 s(4702) =< aux(513) s(4703) =< aux(514) s(4757) =< s(4752) s(4758) =< s(4752) s(4759) =< s(4757)*s(4752) s(4760) =< s(4757)*s(4758) s(4761) =< s(4757)*s(4758) s(4762) =< s(4760) s(4729) =< s(4726) s(4746) =< s(4743) s(4767) =< aux(513) s(4768) =< s(4702)*aux(513) s(4769) =< s(4702)*s(4767) s(4770) =< s(4702)*s(4767) s(4771) =< s(4769) s(4732) =< s(4731) s(4734) =< s(4733) s(4736) =< s(4735) s(4738) =< s(4737) s(4740) =< s(4739) with precondition: [V1=1,V>=0,V2>=0] * Chain [93]: 10 with precondition: [V1=1,V2=0,V>=2] * Chain [92]: 108*s(4788)+4740*s(4789)+715*s(4790)+44*s(4803)+44*s(4805)+88*s(4806)+264*s(4903)+264*s(4905)+528*s(4906)+14 Such that:aux(528) =< V aux(529) =< V2 aux(530) =< V2+1 s(4790) =< aux(528) s(4789) =< aux(529) s(4788) =< aux(530) s(4802) =< aux(528) s(4803) =< s(4790)*aux(528) s(4804) =< s(4790)*s(4802) s(4805) =< s(4790)*s(4802) s(4806) =< s(4804) s(4902) =< aux(529) s(4903) =< s(4789)*aux(529) s(4904) =< s(4789)*s(4902) s(4905) =< s(4789)*s(4902) s(4906) =< s(4904) with precondition: [V1=2,V>=0,V2>=0] * Chain [91]: 8 with precondition: [V1=2,V2=0,V>=1] * Chain [90]: 1 with precondition: [V=0,V1>=1] Closed-form bounds of start(V1,V,V2): ------------------------------------- * Chain [95] with precondition: [V1>=0] - Upper bound: nat(V)+1+nat(V+1) - Complexity: n * Chain [94] with precondition: [V1=1,V>=0,V2>=0] - Upper bound: 352*V+14+88*V*V+7584*V2+1584*V2*V2+(646*V2+646)+(V2+6)+(3*V2+21)+(2*V2+16)+(4*V2+36)+(5*V2+50)+(5*V2+55)+(4*V2+8)+(4*V2+22)+(2*V2+12) - Complexity: n^2 * Chain [93] with precondition: [V1=1,V2=0,V>=2] - Upper bound: 10 - Complexity: constant * Chain [92] with precondition: [V1=2,V>=0,V2>=0] - Upper bound: 715*V+14+176*V*V+4740*V2+1056*V2*V2+(108*V2+108) - Complexity: n^2 * Chain [91] with precondition: [V1=2,V2=0,V>=1] - Upper bound: 8 - Complexity: constant * Chain [90] with precondition: [V=0,V1>=1] - Upper bound: 1 - Complexity: constant ### Maximum cost of start(V1,V,V2): max([9,nat(V)+max([nat(V+1),nat(V)*351+13+nat(V)*88*nat(V)+nat(V2)*4740+nat(V2)*1056*nat(V2)+nat(V2+1)*108+max([nat(V)*88*nat(V)+nat(V)*363,nat(V2)*528*nat(V2)+nat(V2)*2844+nat(V2+1)*538+nat(V2+6)+nat(V2+7)*3+nat(V2+8)*2+nat(V2+9)*4+nat(V2+10)*5+nat(V2+11)*5+nat(2*V2+4)*2+nat(2*V2+11)*2+nat(2*V2+12)])])])+1 Asymptotic class: n^2 * Total analysis performed in 24493 ms. ---------------------------------------- (12) BOUNDS(1, n^2) ---------------------------------------- (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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) GR(0, z0) -> c4 GR(s(z0), 0) -> c5 GR(s(z0), s(z1)) -> c6(GR(z0, z1)) P(0) -> c7 P(s(z0)) -> c8 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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 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 GR(s(z0), s(z1)) ->^+ c6(GR(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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) GR(0, z0) -> c4 GR(s(z0), 0) -> c5 GR(s(z0), s(z1)) -> c6(GR(z0, z1)) P(0) -> c7 P(s(z0)) -> c8 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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 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^2). The TRS R consists of the following rules: COND1(true, z0, z1) -> c(COND2(gr(z0, z1), z0, z1), GR(z0, z1)) COND2(true, z0, z1) -> c1(COND1(gr(z0, 0), z1, z1), GR(z0, 0)) COND2(false, z0, z1) -> c2(COND1(gr(z0, 0), p(z0), z1), GR(z0, 0)) COND2(false, z0, z1) -> c3(COND1(gr(z0, 0), p(z0), z1), P(z0)) GR(0, z0) -> c4 GR(s(z0), 0) -> c5 GR(s(z0), s(z1)) -> c6(GR(z0, z1)) P(0) -> c7 P(s(z0)) -> c8 The (relative) TRS S consists of the following rules: cond1(true, z0, z1) -> cond2(gr(z0, z1), z0, z1) cond2(true, z0, z1) -> cond1(gr(z0, 0), z1, z1) cond2(false, z0, z1) -> cond1(gr(z0, 0), p(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 Rewrite Strategy: INNERMOST