/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^2)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). (0) CpxTRS (1) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxWeightedTrs (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 2 ms] (4) CpxTypedWeightedTrs (5) CompletionProof [UPPER BOUND(ID), 0 ms] (6) CpxTypedWeightedCompleteTrs (7) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 2 ms] (8) CpxRNTS (9) CompleteCoflocoProof [FINISHED, 31.0 s] (10) BOUNDS(1, n^2) (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (14) BEST (15) proven lower bound (16) LowerBoundPropagationProof [FINISHED, 0 ms] (17) BOUNDS(n^1, INF) (18) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: min(0, y) -> 0 min(x, 0) -> 0 min(s(x), s(y)) -> s(min(x, y)) max(0, y) -> y max(x, 0) -> x max(s(x), s(y)) -> s(max(x, y)) p(s(x)) -> x f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) f(0, y, z) -> max(y, z) f(x, 0, z) -> max(x, z) f(x, y, 0) -> max(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (2) 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: min(0, y) -> 0 [1] min(x, 0) -> 0 [1] min(s(x), s(y)) -> s(min(x, y)) [1] max(0, y) -> y [1] max(x, 0) -> x [1] max(s(x), s(y)) -> s(max(x, y)) [1] p(s(x)) -> x [1] f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) [1] f(0, y, z) -> max(y, z) [1] f(x, 0, z) -> max(x, z) [1] f(x, y, 0) -> max(x, y) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: min(0, y) -> 0 [1] min(x, 0) -> 0 [1] min(s(x), s(y)) -> s(min(x, y)) [1] max(0, y) -> y [1] max(x, 0) -> x [1] max(s(x), s(y)) -> s(max(x, y)) [1] p(s(x)) -> x [1] f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) [1] f(0, y, z) -> max(y, z) [1] f(x, 0, z) -> max(x, z) [1] f(x, y, 0) -> max(x, y) [1] The TRS has the following type information: min :: 0:s -> 0:s -> 0:s 0 :: 0:s s :: 0:s -> 0:s max :: 0:s -> 0:s -> 0:s p :: 0:s -> 0:s f :: 0:s -> 0:s -> 0:s -> 0:s Rewrite Strategy: INNERMOST ---------------------------------------- (5) 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: p(v0) -> null_p [0] min(v0, v1) -> null_min [0] max(v0, v1) -> null_max [0] f(v0, v1, v2) -> null_f [0] And the following fresh constants: null_p, null_min, null_max, null_f ---------------------------------------- (6) 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: min(0, y) -> 0 [1] min(x, 0) -> 0 [1] min(s(x), s(y)) -> s(min(x, y)) [1] max(0, y) -> y [1] max(x, 0) -> x [1] max(s(x), s(y)) -> s(max(x, y)) [1] p(s(x)) -> x [1] f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) [1] f(0, y, z) -> max(y, z) [1] f(x, 0, z) -> max(x, z) [1] f(x, y, 0) -> max(x, y) [1] p(v0) -> null_p [0] min(v0, v1) -> null_min [0] max(v0, v1) -> null_max [0] f(v0, v1, v2) -> null_f [0] The TRS has the following type information: min :: 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f 0 :: 0:s:null_p:null_min:null_max:null_f s :: 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f max :: 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f p :: 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f f :: 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f -> 0:s:null_p:null_min:null_max:null_f null_p :: 0:s:null_p:null_min:null_max:null_f null_min :: 0:s:null_p:null_min:null_max:null_f null_max :: 0:s:null_p:null_min:null_max:null_f null_f :: 0:s:null_p:null_min:null_max:null_f Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 null_p => 0 null_min => 0 null_max => 0 null_f => 0 ---------------------------------------- (8) Obligation: Complexity RNTS consisting of the following rules: f(z', z'', z1) -{ 1 }-> max(x, y) :|: z1 = 0, z' = x, z'' = y, x >= 0, y >= 0 f(z', z'', z1) -{ 1 }-> max(x, z) :|: z'' = 0, z1 = z, z >= 0, z' = x, x >= 0 f(z', z'', z1) -{ 1 }-> max(y, z) :|: z1 = z, z >= 0, z'' = y, y >= 0, z' = 0 f(z', z'', z1) -{ 1 }-> f(max(1 + x, max(1 + y, 1 + z)), p(min(1 + x, max(1 + y, 1 + z))), min(1 + x, min(1 + y, 1 + z))) :|: z' = 1 + x, z >= 0, x >= 0, y >= 0, z'' = 1 + y, z1 = 1 + z f(z', z'', z1) -{ 0 }-> 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0 max(z', z'') -{ 1 }-> x :|: z'' = 0, z' = x, x >= 0 max(z', z'') -{ 1 }-> y :|: z'' = y, y >= 0, z' = 0 max(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 max(z', z'') -{ 1 }-> 1 + max(x, y) :|: z' = 1 + x, x >= 0, y >= 0, z'' = 1 + y min(z', z'') -{ 1 }-> 0 :|: z'' = y, y >= 0, z' = 0 min(z', z'') -{ 1 }-> 0 :|: z'' = 0, z' = x, x >= 0 min(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0 min(z', z'') -{ 1 }-> 1 + min(x, y) :|: z' = 1 + x, x >= 0, y >= 0, z'' = 1 + y p(z') -{ 1 }-> x :|: z' = 1 + x, x >= 0 p(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (9) CompleteCoflocoProof (FINISHED) Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo: eq(start(V, V1, V14),0,[min(V, V1, Out)],[V >= 0,V1 >= 0]). eq(start(V, V1, V14),0,[max(V, V1, Out)],[V >= 0,V1 >= 0]). eq(start(V, V1, V14),0,[p(V, Out)],[V >= 0]). eq(start(V, V1, V14),0,[f(V, V1, V14, Out)],[V >= 0,V1 >= 0,V14 >= 0]). eq(min(V, V1, Out),1,[],[Out = 0,V1 = V2,V2 >= 0,V = 0]). eq(min(V, V1, Out),1,[],[Out = 0,V1 = 0,V = V3,V3 >= 0]). eq(min(V, V1, Out),1,[min(V4, V5, Ret1)],[Out = 1 + Ret1,V = 1 + V4,V4 >= 0,V5 >= 0,V1 = 1 + V5]). eq(max(V, V1, Out),1,[],[Out = V6,V1 = V6,V6 >= 0,V = 0]). eq(max(V, V1, Out),1,[],[Out = V7,V1 = 0,V = V7,V7 >= 0]). eq(max(V, V1, Out),1,[max(V8, V9, Ret11)],[Out = 1 + Ret11,V = 1 + V8,V8 >= 0,V9 >= 0,V1 = 1 + V9]). eq(p(V, Out),1,[],[Out = V10,V = 1 + V10,V10 >= 0]). eq(f(V, V1, V14, Out),1,[max(1 + V11, 1 + V13, Ret01),max(1 + V12, Ret01, Ret0),max(1 + V11, 1 + V13, Ret101),min(1 + V12, Ret101, Ret10),p(Ret10, Ret12),min(1 + V11, 1 + V13, Ret21),min(1 + V12, Ret21, Ret2),f(Ret0, Ret12, Ret2, Ret)],[Out = Ret,V = 1 + V12,V13 >= 0,V12 >= 0,V11 >= 0,V1 = 1 + V11,V14 = 1 + V13]). eq(f(V, V1, V14, Out),1,[max(V15, V16, Ret3)],[Out = Ret3,V14 = V16,V16 >= 0,V1 = V15,V15 >= 0,V = 0]). eq(f(V, V1, V14, Out),1,[max(V18, V17, Ret4)],[Out = Ret4,V1 = 0,V14 = V17,V17 >= 0,V = V18,V18 >= 0]). eq(f(V, V1, V14, Out),1,[max(V19, V20, Ret5)],[Out = Ret5,V14 = 0,V = V19,V1 = V20,V19 >= 0,V20 >= 0]). eq(p(V, Out),0,[],[Out = 0,V21 >= 0,V = V21]). eq(min(V, V1, Out),0,[],[Out = 0,V23 >= 0,V22 >= 0,V1 = V22,V = V23]). eq(max(V, V1, Out),0,[],[Out = 0,V25 >= 0,V24 >= 0,V1 = V24,V = V25]). eq(f(V, V1, V14, Out),0,[],[Out = 0,V26 >= 0,V14 = V28,V27 >= 0,V1 = V27,V28 >= 0,V = V26]). input_output_vars(min(V,V1,Out),[V,V1],[Out]). input_output_vars(max(V,V1,Out),[V,V1],[Out]). input_output_vars(p(V,Out),[V],[Out]). input_output_vars(f(V,V1,V14,Out),[V,V1,V14],[Out]). CoFloCo proof output: Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [max/3] 1. recursive : [min/3] 2. non_recursive : [p/2] 3. recursive : [f/4] 4. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into max/3 1. SCC is partially evaluated into min/3 2. SCC is partially evaluated into p/2 3. SCC is partially evaluated into f/4 4. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations max/3 * CE 12 is refined into CE [20] * CE 10 is refined into CE [21] * CE 9 is refined into CE [22] * CE 11 is refined into CE [23] ### Cost equations --> "Loop" of max/3 * CEs [23] --> Loop 16 * CEs [20] --> Loop 17 * CEs [21] --> Loop 18 * CEs [22] --> Loop 19 ### Ranking functions of CR max(V,V1,Out) * RF of phase [16]: [V,V1] #### Partial ranking functions of CR max(V,V1,Out) * Partial RF of phase [16]: - RF of loop [16:1]: V V1 ### Specialization of cost equations min/3 * CE 6 is refined into CE [24] * CE 5 is refined into CE [25] * CE 8 is refined into CE [26] * CE 7 is refined into CE [27] ### Cost equations --> "Loop" of min/3 * CEs [27] --> Loop 20 * CEs [24] --> Loop 21 * CEs [25,26] --> Loop 22 ### Ranking functions of CR min(V,V1,Out) * RF of phase [20]: [V,V1] #### Partial ranking functions of CR min(V,V1,Out) * Partial RF of phase [20]: - RF of loop [20:1]: V V1 ### Specialization of cost equations p/2 * CE 13 is refined into CE [28] * CE 14 is refined into CE [29] ### Cost equations --> "Loop" of p/2 * CEs [28] --> Loop 23 * CEs [29] --> Loop 24 ### Ranking functions of CR p(V,Out) #### Partial ranking functions of CR p(V,Out) ### Specialization of cost equations f/4 * CE 19 is refined into CE [30] * CE 18 is refined into CE [31,32,33,34,35,36] * CE 17 is refined into CE [37,38,39,40,41,42] * CE 16 is refined into CE [43,44,45,46,47,48] * CE 15 is refined into CE [49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468] ### Cost equations --> "Loop" of f/4 * CEs [279,288] --> Loop 25 * CEs [219,330,459] --> Loop 26 * CEs [189,300,429] --> Loop 27 * CEs [60,150,159,168,270,390] --> Loop 28 * CEs [58,59,148,149,166,167,388,389] --> Loop 29 * CEs [217,218,328,329] --> Loop 30 * CEs [187,188,298,299,427,428] --> Loop 31 * CEs [67,68,157,158,268,269,277,278,286,287,397,398] --> Loop 32 * CEs [414,417,420] --> Loop 33 * CEs [411,423,426,432,435,438] --> Loop 34 * CEs [441,462,465,468] --> Loop 35 * CEs [201,204,207,210,222,225,228,444,447,450] --> Loop 36 * CEs [291,303,306,309,312,315,318] --> Loop 37 * CEs [63,66,69,261,273,276,282,285,393,396,399] --> Loop 38 * CEs [213,216,321,324,327,333,336,339,342,345,348,453,456] --> Loop 39 * CEs [171,174,177,180,183,186,192,195,198,294,297] --> Loop 40 * CEs [51,54,57,72,75,78,141,144,147,153,156,162,165,264,267,381,384,387,402,405,408] --> Loop 41 * CEs [439,440,460,461,463,464,466,467] --> Loop 42 * CEs [199,200,202,203,205,206,208,209,220,221,223,224,226,227,442,443,445,446,448,449] --> Loop 43 * CEs [412,413,415,416,418,419] --> Loop 44 * CEs [409,410,421,422,424,425,430,431,433,434,436,437] --> Loop 45 * CEs [289,290,301,302,304,305,307,308,310,311,313,314,316,317] --> Loop 46 * CEs [211,212,214,215,319,320,322,323,325,326,331,332,334,335,337,338,340,341,343,344,346,347,451,452,454,455,457,458] --> Loop 47 * CEs [169,170,172,173,175,176,178,179,181,182,184,185,190,191,193,194,196,197,292,293,295,296] --> Loop 48 * CEs [49,50,52,53,55,56,61,62,64,65,70,71,73,74,76,77,139,140,142,143,145,146,151,152,154,155,160,161,163,164,259,260,262,263,265,266,271,272,274,275,280,281,283,284,379,380,382,383,385,386,391,392,394,395,400,401,403,404,406,407] --> Loop 49 * CEs [99,129,240,249,258,369] --> Loop 50 * CEs [88,89,118,119,136,137,358,359] --> Loop 51 * CEs [97,98,127,128,238,239,247,248,256,257,367,368] --> Loop 52 * CEs [84,87,90,111,114,117,120,132,135,138,354,357,360] --> Loop 53 * CEs [81,93,96,102,105,108,123,126,231,234,237,243,246,252,255,351,363,366,372,375,378] --> Loop 54 * CEs [79,80,82,83,85,86,91,92,94,95,100,101,103,104,106,107,109,110,112,113,115,116,121,122,124,125,130,131,133,134,229,230,232,233,235,236,241,242,244,245,250,251,253,254,349,350,352,353,355,356,361,362,364,365,370,371,373,374,376,377] --> Loop 55 * CEs [36] --> Loop 56 * CEs [35] --> Loop 57 * CEs [34] --> Loop 58 * CEs [33] --> Loop 59 * CEs [42] --> Loop 60 * CEs [41] --> Loop 61 * CEs [40] --> Loop 62 * CEs [39] --> Loop 63 * CEs [32,38] --> Loop 64 * CEs [48] --> Loop 65 * CEs [47] --> Loop 66 * CEs [46] --> Loop 67 * CEs [30,45] --> Loop 68 * CEs [31,44] --> Loop 69 * CEs [37,43] --> Loop 70 ### Ranking functions of CR f(V,V1,V14,Out) * RF of phase [25,26,27,28,33,34,35,36,37,38,39,40,41]: [V+V1+V14-2,V1+V14-1] #### Partial ranking functions of CR f(V,V1,V14,Out) * Partial RF of phase [25,26,27,28,33,34,35,36,37,38,39,40,41]: - RF of loop [25:1,26:1,35:1,37:1,38:1,39:1,41:1]: V1+V14-1 - RF of loop [26:1,27:1,33:1,34:1,35:1,36:1,40:1]: V+V1-1 depends on loops [25:1,37:1,38:1,39:1] - RF of loop [26:1,35:1,37:1,39:1]: V+V1+V14-2 - RF of loop [27:1,33:1,34:1,40:1]: -V+V1+1 depends on loops [25:1,26:1,35:1,36:1,37:1,38:1,39:1] - RF of loop [28:1,35:1,36:1,40:1,41:1]: V1 depends on loops [25:1,26:1,37:1,38:1,39:1] - RF of loop [37:1]: -V+V1+V14 depends on loops [26:1,35:1,36:1,39:1] ### Specialization of cost equations start/3 * CE 1 is refined into CE [469,470] * CE 2 is refined into CE [471,472,473,474,475,476] * CE 3 is refined into CE [477,478] * CE 4 is refined into CE [479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500] ### Cost equations --> "Loop" of start/3 * CEs [472,484,486,487,488] --> Loop 71 * CEs [480,489,490,491,492] --> Loop 72 * CEs [469,470,471,473,474,475,476,477,478,479,481,482,483,485,493,494,495,496,497,498,499,500] --> Loop 73 ### Ranking functions of CR start(V,V1,V14) #### Partial ranking functions of CR start(V,V1,V14) Computing Bounds ===================================== #### Cost of chains of max(V,V1,Out): * Chain [[16],19]: 1*it(16)+1 Such that:it(16) =< V with precondition: [V1=Out,V>=1,V1>=V] * Chain [[16],18]: 1*it(16)+1 Such that:it(16) =< V1 with precondition: [V=Out,V1>=1,V>=V1] * Chain [[16],17]: 1*it(16)+0 Such that:it(16) =< Out with precondition: [Out>=1,V>=Out,V1>=Out] * Chain [19]: 1 with precondition: [V=0,V1=Out,V1>=0] * Chain [18]: 1 with precondition: [V1=0,V=Out,V>=0] * Chain [17]: 0 with precondition: [Out=0,V>=0,V1>=0] #### Cost of chains of min(V,V1,Out): * Chain [[20],22]: 1*it(20)+1 Such that:it(20) =< Out with precondition: [Out>=1,V>=Out,V1>=Out] * Chain [[20],21]: 1*it(20)+1 Such that:it(20) =< Out with precondition: [V1=Out,V1>=1,V>=V1] * Chain [22]: 1 with precondition: [Out=0,V>=0,V1>=0] * Chain [21]: 1 with precondition: [V1=0,Out=0,V>=0] #### Cost of chains of p(V,Out): * Chain [24]: 0 with precondition: [Out=0,V>=0] * Chain [23]: 1 with precondition: [V=Out+1,V>=1] #### Cost of chains of f(V,V1,V14,Out): * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+1 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(395) =< V+V1+V14 aux(396) =< V1+V14 it(25) =< aux(395) it(25) =< aux(396) aux(187) =< aux(395) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(395) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+1 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(397) =< V+V1+V14 aux(398) =< V1+V14 it(25) =< aux(397) it(25) =< aux(398) aux(187) =< aux(397) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(397) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],62]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+1*s(1045)+2 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(165) =< V14 aux(399) =< V+V1+V14-Out aux(400) =< V1+V14 s(1045) =< aux(399) it(25) =< aux(380) it(25) =< aux(399) it(25) =< aux(400) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=1,V1>=1,V14>=1,Out>=1,V+V1+V14>=Out+2] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],61]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+1*s(1046)+2 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(388) =< V1+V14 aux(389) =< V1+V14-Out aux(165) =< V14 aux(401) =< V+V1+V14-Out s(1046) =< aux(401) it(25) =< aux(380) it(25) =< aux(401) it(25) =< aux(388) it(25) =< aux(389) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],60]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+1*s(1047)+1 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(402) =< V1+V14 s(1047) =< aux(402) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(402) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+204*s(1049)+8*s(1088)+8 Such that:aux(448) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(449) =< V+V1+V14 aux(450) =< V1+V14 s(1049) =< aux(449) s(1088) =< aux(448) it(25) =< aux(449) it(25) =< aux(450) aux(187) =< aux(449) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(449) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,69]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+204*s(1049)+8*s(1088)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(448) =< Out+1 aux(451) =< V+V1+V14 aux(452) =< V1+V14 s(1049) =< aux(451) s(1088) =< aux(448) it(25) =< aux(451) it(25) =< aux(452) aux(187) =< aux(451) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(451) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=0,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+212*s(1049)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(454) =< V+V1+V14 aux(455) =< V1+V14 s(1049) =< aux(454) it(25) =< aux(454) it(25) =< aux(455) aux(187) =< aux(454) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(454) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+204*s(1049)+8*s(1088)+8 Such that:aux(448) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(456) =< V+V1+V14 aux(457) =< V1+V14 s(1049) =< aux(456) s(1088) =< aux(448) it(25) =< aux(456) it(25) =< aux(457) aux(187) =< aux(456) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(456) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+204*s(1049)+8*s(1088)+7 Such that:aux(448) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(458) =< V+V1+V14 aux(459) =< V1+V14 s(1049) =< aux(458) s(1088) =< aux(448) it(25) =< aux(458) it(25) =< aux(459) aux(187) =< aux(458) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(458) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],55,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+212*s(1049)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(461) =< V+V1+V14 aux(462) =< V1+V14 s(1049) =< aux(461) it(25) =< aux(461) it(25) =< aux(462) aux(187) =< aux(461) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(461) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+91*s(1261)+42*s(1263)+4*s(1290)+8 Such that:aux(482) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(483) =< Out aux(484) =< V+V1+V14 aux(485) =< V1+V14 s(1261) =< aux(484) s(1263) =< aux(483) s(1290) =< aux(482) it(25) =< aux(484) it(25) =< aux(485) aux(187) =< aux(484) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(484) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+137*s(1261)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(488) =< V+V1+V14 aux(489) =< V1+V14 s(1261) =< aux(488) it(25) =< aux(488) it(25) =< aux(489) aux(187) =< aux(488) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(488) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,67]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+91*s(1261)+43*s(1263)+4*s(1290)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(490) =< Out aux(482) =< Out+1 aux(491) =< V+V1+V14 aux(492) =< V1+V14 s(1263) =< aux(490) s(1261) =< aux(491) s(1290) =< aux(482) it(25) =< aux(491) it(25) =< aux(492) aux(187) =< aux(491) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(491) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,66]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+96*s(1261)+42*s(1263)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(483) =< Out aux(494) =< V+V1+V14 aux(495) =< V1+V14 s(1261) =< aux(494) s(1263) =< aux(483) it(25) =< aux(494) it(25) =< aux(495) aux(187) =< aux(494) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(494) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=3,V1>=2,V14>=2,Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=5,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,65]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+138*s(1261)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(499) =< V+V1+V14 aux(500) =< V1+V14 s(1261) =< aux(499) it(25) =< aux(499) it(25) =< aux(500) aux(187) =< aux(499) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(499) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],54,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+133*s(1261)+4*s(1290)+7 Such that:aux(482) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(502) =< V+V1+V14 aux(503) =< V1+V14 s(1261) =< aux(502) s(1290) =< aux(482) it(25) =< aux(502) it(25) =< aux(503) aux(187) =< aux(502) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(502) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+56*s(1400)+26*s(1404)+8*s(1414)+9 Such that:aux(519) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(520) =< Out aux(521) =< V+V1+V14 aux(522) =< V1+V14 s(1400) =< aux(521) s(1404) =< aux(520) s(1414) =< aux(519) it(25) =< aux(521) it(25) =< aux(522) aux(187) =< aux(521) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(521) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+90*s(1400)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(524) =< V+V1+V14 aux(525) =< V1+V14 s(1400) =< aux(524) it(25) =< aux(524) it(25) =< aux(525) aux(187) =< aux(524) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(524) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,67]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+83*s(1397)+8*s(1414)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(519) =< Out+1 aux(527) =< V+V1+V14 aux(528) =< V1+V14 s(1397) =< aux(527) s(1414) =< aux(519) it(25) =< aux(527) it(25) =< aux(528) aux(187) =< aux(527) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(527) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+4,V1+3*V>=2*Out+8,V14+3*V>=2*Out+8,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V1+V14+3*V>=3*Out+10,V+V1+V14>=2*Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,66]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+65*s(1398)+26*s(1404)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(520) =< Out aux(530) =< V+V1+V14 aux(531) =< V1+V14 s(1398) =< aux(530) s(1404) =< aux(520) it(25) =< aux(530) it(25) =< aux(531) aux(187) =< aux(530) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(530) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,2*V>=Out+4,V1+V14>=2*Out+1,V1+V14>=Out+3,V1+3*V>=Out+9,V14+3*V>=Out+9,V1+V14+3*V>=Out+12] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,65]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+91*s(1399)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(534) =< V+V1+V14 aux(535) =< V1+V14 s(1399) =< aux(534) it(25) =< aux(534) it(25) =< aux(535) aux(187) =< aux(534) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(534) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,2*V>=2*Out+3,V1>=Out,V14>=Out,V1+3*V>=4*Out+6,V14+3*V>=4*Out+6,V1+V14>=2*Out+2,V1+V14+3*V>=5*Out+8] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],53,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+82*s(1400)+8*s(1414)+8 Such that:aux(519) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(537) =< V+V1+V14 aux(538) =< V1+V14 s(1400) =< aux(537) s(1414) =< aux(519) it(25) =< aux(537) it(25) =< aux(538) aux(187) =< aux(537) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(537) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+34*s(1490)+24*s(1492)+9 Such that:aux(552) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(553) =< V+V1+V14 aux(554) =< V1+V14 s(1490) =< aux(554) s(1492) =< aux(552) it(25) =< aux(553) it(25) =< aux(554) aux(187) =< aux(553) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(553) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,69]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+34*s(1490)+24*s(1492)+9 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(552) =< Out+1 aux(555) =< V1+V14 s(1490) =< aux(555) s(1492) =< aux(552) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(555) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,Out>=0,V>=Out+1,V1>=Out+1,V14>=Out+1,V1+V14>=Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+58*s(1490)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(556) =< V+V1+V14 aux(557) =< V1+V14 s(1490) =< aux(556) it(25) =< aux(556) it(25) =< aux(557) aux(187) =< aux(556) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(556) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+34*s(1490)+24*s(1492)+9 Such that:aux(552) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(558) =< V+V1+V14 aux(559) =< V1+V14 s(1490) =< aux(559) s(1492) =< aux(552) it(25) =< aux(558) it(25) =< aux(559) aux(187) =< aux(558) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(558) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+34*s(1490)+24*s(1492)+8 Such that:aux(552) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(560) =< V+V1+V14 aux(561) =< V1+V14 s(1490) =< aux(561) s(1492) =< aux(552) it(25) =< aux(560) it(25) =< aux(561) aux(187) =< aux(560) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(560) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],52,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+58*s(1490)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(562) =< V+V1+V14 aux(563) =< V1+V14 s(1490) =< aux(562) it(25) =< aux(562) it(25) =< aux(563) aux(187) =< aux(562) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(562) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+22*s(1548)+16*s(1550)+9 Such that:aux(572) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(573) =< V+V1+V14 aux(574) =< V1+V14 s(1548) =< aux(574) s(1550) =< aux(572) it(25) =< aux(573) it(25) =< aux(574) aux(187) =< aux(573) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(573) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,69]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+22*s(1548)+16*s(1550)+9 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-2*Out aux(165) =< V14 aux(572) =< Out+1 aux(575) =< V1+V14 s(1548) =< aux(575) s(1550) =< aux(572) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(575) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=0,2*V>=Out+4,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V+V1+V14>=2*Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+38*s(1548)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(576) =< V+V1+V14 aux(577) =< V1+V14 s(1548) =< aux(576) it(25) =< aux(576) it(25) =< aux(577) aux(187) =< aux(576) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(576) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+22*s(1548)+16*s(1550)+9 Such that:aux(572) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(578) =< V+V1+V14 aux(579) =< V1+V14 s(1548) =< aux(579) s(1550) =< aux(572) it(25) =< aux(578) it(25) =< aux(579) aux(187) =< aux(578) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(578) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+22*s(1548)+16*s(1550)+8 Such that:aux(572) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(580) =< V+V1+V14 aux(581) =< V1+V14 s(1548) =< aux(581) s(1550) =< aux(572) it(25) =< aux(580) it(25) =< aux(581) aux(187) =< aux(580) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(580) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],51,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+38*s(1548)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(582) =< V+V1+V14 aux(583) =< V1+V14 s(1548) =< aux(582) it(25) =< aux(582) it(25) =< aux(583) aux(187) =< aux(582) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(582) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,70]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+23*s(1586)+12*s(1588)+12*s(1592)+9 Such that:aux(592) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(593) =< Out aux(594) =< V1+V14 s(1586) =< aux(594) s(1592) =< aux(593) s(1588) =< aux(592) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(594) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+47*s(1586)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(596) =< V+V1+V14 aux(597) =< V1+V14 s(1586) =< aux(596) it(25) =< aux(596) it(25) =< aux(597) aux(187) =< aux(596) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(596) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,67]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+36*s(1397)+12*s(1588)+9 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(592) =< Out+1 aux(599) =< V1+V14 s(1397) =< aux(599) s(1588) =< aux(592) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(599) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,66]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+36*s(1398)+12*s(1592)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(593) =< Out aux(601) =< V+V1+V14 aux(602) =< V1+V14 s(1398) =< aux(601) s(1592) =< aux(593) it(25) =< aux(601) it(25) =< aux(602) aux(187) =< aux(601) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(601) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=2,V14>=2,Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1,V1+V14>=Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,65]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+48*s(1399)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(604) =< V+V1+V14 aux(605) =< V1+V14 s(1399) =< aux(604) it(25) =< aux(604) it(25) =< aux(605) aux(187) =< aux(604) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(604) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],50,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+35*s(1586)+12*s(1588)+8 Such that:aux(592) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(607) =< V+V1+V14 aux(608) =< V1+V14 s(1586) =< aux(608) s(1588) =< aux(592) it(25) =< aux(607) it(25) =< aux(608) aux(187) =< aux(607) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(607) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+256*s(1634)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(665) =< V+V1+V14 aux(666) =< V1+V14 s(1634) =< aux(665) it(25) =< aux(665) it(25) =< aux(666) aux(187) =< aux(665) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(665) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+242*s(1634)+6*s(1641)+8*s(1673)+9 Such that:aux(663) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(165) =< V14 aux(660) =< Out aux(667) =< V+V1+V14-Out aux(668) =< V1+V14 s(1634) =< aux(667) s(1641) =< aux(660) s(1673) =< aux(663) it(25) =< aux(380) it(25) =< aux(667) it(25) =< aux(668) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,V1>=1,V14>=1,Out>=1,V1+V14>=3,V+V1+V14>=Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+248*s(1634)+8*s(1673)+8 Such that:aux(663) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(669) =< V+V1+V14 aux(670) =< V1+V14 s(1634) =< aux(669) s(1673) =< aux(663) it(25) =< aux(669) it(25) =< aux(670) aux(187) =< aux(669) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(669) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+256*s(1634)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(672) =< V+V1+V14 aux(673) =< V1+V14 s(1634) =< aux(672) it(25) =< aux(672) it(25) =< aux(673) aux(187) =< aux(672) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(672) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+251*s(1634)+6*s(1641)+9 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(165) =< V14 aux(660) =< Out aux(675) =< V+V1+V14-Out aux(676) =< V1+V14 s(1634) =< aux(675) s(1641) =< aux(660) it(25) =< aux(380) it(25) =< aux(675) it(25) =< aux(676) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=3,V1>=2,V14>=2,Out>=2,V1+V14>=5,V+V1+V14>=Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],49,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+257*s(1634)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(678) =< V+V1+V14 aux(679) =< V1+V14 s(1634) =< aux(678) it(25) =< aux(678) it(25) =< aux(679) aux(187) =< aux(678) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(678) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+110*s(1891)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(714) =< V+V1+V14 aux(715) =< V1+V14 s(1891) =< aux(714) it(25) =< aux(714) it(25) =< aux(715) aux(187) =< aux(714) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(714) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+78*s(1891)+8*s(1921)+24*s(1929)+10 Such that:aux(712) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(388) =< V1+V14 aux(389) =< V1+V14-Out aux(165) =< V14 aux(711) =< Out aux(716) =< V+V1+V14-Out s(1891) =< aux(716) s(1929) =< aux(711) s(1921) =< aux(712) it(25) =< aux(380) it(25) =< aux(716) it(25) =< aux(388) it(25) =< aux(389) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+3,V+V1>=Out+2,V+V14>=Out+2,V1+V14>=Out+2,V+V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+102*s(1891)+8*s(1921)+9 Such that:aux(712) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(717) =< V+V1+V14 aux(718) =< V1+V14 s(1891) =< aux(717) s(1921) =< aux(712) it(25) =< aux(717) it(25) =< aux(718) aux(187) =< aux(717) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(717) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+110*s(1891)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(720) =< V+V1+V14 aux(721) =< V1+V14 s(1891) =< aux(720) it(25) =< aux(720) it(25) =< aux(721) aux(187) =< aux(720) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(720) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+87*s(1889)+24*s(1929)+10 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(388) =< V1+V14 aux(389) =< V1+V14-Out aux(165) =< V14 aux(711) =< Out aux(723) =< V+V1+V14-Out s(1889) =< aux(723) s(1929) =< aux(711) it(25) =< aux(380) it(25) =< aux(723) it(25) =< aux(388) it(25) =< aux(389) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=2,2*V>=Out+3,V1+3*V>=2*Out+6,V14+3*V>=2*Out+6,V+V1>=Out+2,V+V14>=Out+2,V1+V14>=Out+2,V1+V14+3*V>=3*Out+7,V+V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],48,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+111*s(1890)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(725) =< V+V1+V14 aux(726) =< V1+V14 s(1890) =< aux(725) it(25) =< aux(725) it(25) =< aux(726) aux(187) =< aux(725) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(725) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+4,V1+3*V>=2*Out+8,V14+3*V>=2*Out+8,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V1+V14+3*V>=3*Out+10,V+V1+V14>=2*Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+142*s(2001)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(760) =< V+V1+V14 aux(761) =< V1+V14 s(2001) =< aux(760) it(25) =< aux(760) it(25) =< aux(761) aux(187) =< aux(760) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(760) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+102*s(2001)+28*s(2002)+12*s(2071)+9 Such that:aux(758) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(757) =< Out aux(762) =< V+V1+V14 aux(763) =< V1+V14 s(2001) =< aux(762) s(2002) =< aux(757) s(2071) =< aux(758) it(25) =< aux(762) it(25) =< aux(763) aux(187) =< aux(762) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(762) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,Out>=1,V>=Out,V1>=Out,V14>=Out,V1+V14>=Out+2] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+130*s(2001)+12*s(2071)+8 Such that:aux(758) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(765) =< V+V1+V14 aux(766) =< V1+V14 s(2001) =< aux(765) s(2071) =< aux(758) it(25) =< aux(765) it(25) =< aux(766) aux(187) =< aux(765) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(765) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+142*s(2001)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(768) =< V+V1+V14 aux(769) =< V1+V14 s(2001) =< aux(768) it(25) =< aux(768) it(25) =< aux(769) aux(187) =< aux(768) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(768) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+115*s(1889)+28*s(2002)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(757) =< Out aux(771) =< V+V1+V14 aux(772) =< V1+V14 s(1889) =< aux(771) s(2002) =< aux(757) it(25) =< aux(771) it(25) =< aux(772) aux(187) =< aux(771) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(771) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,V1>=2,V14>=2,Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,57]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+102*s(2001)+29*s(2002)+12*s(2071)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(773) =< Out aux(758) =< Out+1 aux(774) =< V+V1+V14 aux(775) =< V1+V14 s(2002) =< aux(773) s(2001) =< aux(774) s(2071) =< aux(758) it(25) =< aux(774) it(25) =< aux(775) aux(187) =< aux(774) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(774) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],47,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+143*s(1890)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(778) =< V+V1+V14 aux(779) =< V1+V14 s(1890) =< aux(778) it(25) =< aux(778) it(25) =< aux(779) aux(187) =< aux(778) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(778) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+70*s(2144)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(801) =< V+V1+V14 aux(802) =< V1+V14 s(2144) =< aux(801) it(25) =< aux(801) it(25) =< aux(802) aux(187) =< aux(801) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(801) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+62*s(2144)+8*s(2174)+10 Such that:aux(799) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(388) =< V1+V14 aux(389) =< V1+V14-Out aux(165) =< V14 aux(803) =< V+V1+V14-Out s(2144) =< aux(803) s(2174) =< aux(799) it(25) =< aux(380) it(25) =< aux(803) it(25) =< aux(388) it(25) =< aux(389) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,Out>=1,V>=Out,V1>=Out,V14>=Out,V1+V14>=Out+2] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+62*s(2144)+8*s(2174)+9 Such that:aux(799) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(804) =< V+V1+V14 aux(805) =< V1+V14 s(2144) =< aux(804) s(2174) =< aux(799) it(25) =< aux(804) it(25) =< aux(805) aux(187) =< aux(804) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(804) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+70*s(2144)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(807) =< V+V1+V14 aux(808) =< V1+V14 s(2144) =< aux(807) it(25) =< aux(807) it(25) =< aux(808) aux(187) =< aux(807) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(807) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+71*s(1889)+10 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(388) =< V1+V14 aux(389) =< V1+V14-Out aux(165) =< V14 aux(810) =< V+V1+V14-Out s(1889) =< aux(810) it(25) =< aux(380) it(25) =< aux(810) it(25) =< aux(388) it(25) =< aux(389) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=2,V>=Out,V1>=Out,V14>=Out] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],46,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+71*s(1890)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(812) =< V+V1+V14 aux(813) =< V1+V14 s(1890) =< aux(813) it(25) =< aux(812) it(25) =< aux(813) aux(187) =< aux(812) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(812) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+58*s(2214)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(828) =< V+V1+V14 aux(829) =< V1+V14 s(2214) =< aux(828) it(25) =< aux(828) it(25) =< aux(829) aux(187) =< aux(828) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(828) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+12*s(2214)+42*s(2215)+4*s(2264)+8 Such that:aux(825) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(824) =< Out aux(830) =< V+V1+V14 aux(831) =< V1+V14 s(2215) =< aux(830) s(2214) =< aux(824) s(2264) =< aux(825) it(25) =< aux(830) it(25) =< aux(831) aux(187) =< aux(830) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(830) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+54*s(2214)+4*s(2264)+7 Such that:aux(825) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(833) =< V+V1+V14 aux(834) =< V1+V14 s(2214) =< aux(833) s(2264) =< aux(825) it(25) =< aux(833) it(25) =< aux(834) aux(187) =< aux(833) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(833) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+58*s(2214)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(837) =< V+V1+V14 aux(838) =< V1+V14 s(2214) =< aux(837) it(25) =< aux(837) it(25) =< aux(838) aux(187) =< aux(837) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(837) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+47*s(1889)+12*s(2214)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(824) =< Out aux(840) =< V+V1+V14 aux(841) =< V1+V14 s(1889) =< aux(840) s(2214) =< aux(824) it(25) =< aux(840) it(25) =< aux(841) aux(187) =< aux(840) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(840) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=2,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],45,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+59*s(1890)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(844) =< V+V1+V14 aux(845) =< V1+V14 s(1890) =< aux(844) it(25) =< aux(844) it(25) =< aux(845) aux(187) =< aux(844) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(844) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+32*s(2272)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(857) =< V+V1+V14 aux(858) =< V1+V14 s(2272) =< aux(857) it(25) =< aux(857) it(25) =< aux(858) aux(187) =< aux(857) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(857) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+6*s(2272)+22*s(2273)+4*s(2296)+9 Such that:aux(854) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(853) =< Out aux(859) =< V+V1+V14 aux(860) =< V1+V14 s(2273) =< aux(859) s(2272) =< aux(853) s(2296) =< aux(854) it(25) =< aux(859) it(25) =< aux(860) aux(187) =< aux(859) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(859) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+28*s(2272)+4*s(2296)+8 Such that:aux(854) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(862) =< V+V1+V14 aux(863) =< V1+V14 s(2272) =< aux(862) s(2296) =< aux(854) it(25) =< aux(862) it(25) =< aux(863) aux(187) =< aux(862) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(862) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+32*s(2272)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(866) =< V+V1+V14 aux(867) =< V1+V14 s(2272) =< aux(866) it(25) =< aux(866) it(25) =< aux(867) aux(187) =< aux(866) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(866) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+27*s(1889)+6*s(2272)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(853) =< Out aux(869) =< V+V1+V14 aux(870) =< V1+V14 s(1889) =< aux(869) s(2272) =< aux(853) it(25) =< aux(869) it(25) =< aux(870) aux(187) =< aux(869) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(869) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=2,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],44,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+33*s(1890)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(873) =< V+V1+V14 aux(874) =< V1+V14 s(1890) =< aux(873) it(25) =< aux(873) it(25) =< aux(874) aux(187) =< aux(873) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(873) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+102*s(2304)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(899) =< V+V1+V14 aux(900) =< V1+V14 s(2304) =< aux(899) it(25) =< aux(899) it(25) =< aux(900) aux(187) =< aux(899) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(899) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+70*s(2304)+20*s(2305)+12*s(2334)+9 Such that:aux(897) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(896) =< Out aux(901) =< V+V1+V14 aux(902) =< V1+V14 s(2304) =< aux(901) s(2305) =< aux(896) s(2334) =< aux(897) it(25) =< aux(901) it(25) =< aux(902) aux(187) =< aux(901) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(901) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+3,V+V1>=Out+2,V+V14>=Out+2,V1+V14>=Out+2,V+V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+90*s(2304)+12*s(2334)+8 Such that:aux(897) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(904) =< V+V1+V14 aux(905) =< V1+V14 s(2304) =< aux(904) s(2334) =< aux(897) it(25) =< aux(904) it(25) =< aux(905) aux(187) =< aux(904) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(904) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+102*s(2304)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(907) =< V+V1+V14 aux(908) =< V1+V14 s(2304) =< aux(907) it(25) =< aux(907) it(25) =< aux(908) aux(187) =< aux(907) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(907) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+83*s(1889)+20*s(2305)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(896) =< Out aux(910) =< V+V1+V14 aux(911) =< V1+V14 s(1889) =< aux(910) s(2305) =< aux(896) it(25) =< aux(910) it(25) =< aux(911) aux(187) =< aux(910) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(910) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=5,2*V>=Out+3,V1+V14>=4,V1+3*V>=10,V14+3*V>=10,V1+3*V>=2*Out+6,V14+3*V>=2*Out+6,V+V1>=Out+2,V+V14>=Out+2,V1+V14>=Out+2,V1+V14+3*V>=13,V1+V14+3*V>=3*Out+7,V+V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,57]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+21*s(2143)+70*s(2304)+12*s(2334)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(912) =< Out aux(897) =< Out+1 aux(913) =< V+V1+V14 aux(914) =< V1+V14 s(2143) =< aux(912) s(2304) =< aux(913) s(2334) =< aux(897) it(25) =< aux(913) it(25) =< aux(914) aux(187) =< aux(913) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(913) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+4,V1+3*V>=2*Out+8,V14+3*V>=2*Out+8,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V1+V14+3*V>=3*Out+10,V+V1+V14>=2*Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],43,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+103*s(1890)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(917) =< V+V1+V14 aux(918) =< V1+V14 s(1890) =< aux(917) it(25) =< aux(917) it(25) =< aux(918) aux(187) =< aux(917) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(917) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+4,V1+3*V>=2*Out+8,V14+3*V>=2*Out+8,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V1+V14+3*V>=3*Out+10,V+V1+V14>=2*Out+5] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+38*s(2406)+6 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(930) =< V+V1+V14 aux(931) =< V1+V14 s(2406) =< aux(930) it(25) =< aux(930) it(25) =< aux(931) aux(187) =< aux(930) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(930) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+26*s(2406)+8*s(2407)+4*s(2436)+7 Such that:aux(927) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(926) =< Out aux(932) =< V+V1+V14 aux(933) =< V1+V14 s(2406) =< aux(932) s(2407) =< aux(926) s(2436) =< aux(927) it(25) =< aux(932) it(25) =< aux(933) aux(187) =< aux(932) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(932) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+34*s(2406)+4*s(2436)+6 Such that:aux(927) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(935) =< V+V1+V14 aux(936) =< V1+V14 s(2406) =< aux(935) s(2436) =< aux(927) it(25) =< aux(935) it(25) =< aux(936) aux(187) =< aux(935) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(935) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+38*s(2406)+6 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(939) =< V+V1+V14 aux(940) =< V1+V14 s(2406) =< aux(939) it(25) =< aux(939) it(25) =< aux(940) aux(187) =< aux(939) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(939) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+31*s(1889)+8*s(2407)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(926) =< Out aux(942) =< V+V1+V14 aux(943) =< V1+V14 s(1889) =< aux(942) s(2407) =< aux(926) it(25) =< aux(942) it(25) =< aux(943) aux(187) =< aux(942) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(942) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=3,V1>=2,V14>=2,Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=5,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,57]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+9*s(2143)+26*s(2406)+4*s(2436)+7 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(944) =< Out aux(927) =< Out+1 aux(945) =< V+V1+V14 aux(946) =< V1+V14 s(2143) =< aux(944) s(2406) =< aux(945) s(2436) =< aux(927) it(25) =< aux(945) it(25) =< aux(946) aux(187) =< aux(945) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(945) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],42,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+39*s(1890)+6 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(949) =< V+V1+V14 aux(950) =< V1+V14 s(1890) =< aux(949) it(25) =< aux(949) it(25) =< aux(950) aux(187) =< aux(949) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(949) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+68*s(2444)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(965) =< V+V1+V14 aux(966) =< V1+V14 s(2444) =< aux(965) it(25) =< aux(965) it(25) =< aux(966) aux(187) =< aux(965) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(965) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+44*s(2444)+24*s(2446)+10 Such that:aux(964) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(967) =< V1+V14 s(2444) =< aux(967) s(2446) =< aux(964) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(967) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,V1>=1,V14>=1,Out>=1,V1+V14>=3,V+V1+V14>=Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+44*s(2444)+24*s(2446)+9 Such that:aux(964) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(968) =< V+V1+V14 aux(969) =< V1+V14 s(2444) =< aux(969) s(2446) =< aux(964) it(25) =< aux(968) it(25) =< aux(969) aux(187) =< aux(968) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(968) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+68*s(2444)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(970) =< V+V1+V14 aux(971) =< V1+V14 s(2444) =< aux(970) it(25) =< aux(970) it(25) =< aux(971) aux(187) =< aux(970) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(970) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+69*s(1889)+10 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(973) =< V1+V14 s(1889) =< aux(973) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(973) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,V1>=2,V14>=2,Out>=2,V+V1+V14>=Out+4] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],32,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+69*s(1890)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(975) =< V+V1+V14 aux(976) =< V1+V14 s(1890) =< aux(975) it(25) =< aux(975) it(25) =< aux(976) aux(187) =< aux(975) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(975) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+36*s(2512)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(988) =< V+V1+V14 aux(989) =< V1+V14 s(2512) =< aux(988) it(25) =< aux(988) it(25) =< aux(989) aux(187) =< aux(988) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(988) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+14*s(2512)+10*s(2513)+12*s(2516)+10 Such that:aux(985) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(984) =< Out aux(990) =< V+V1+V14 aux(991) =< V1+V14 s(2513) =< aux(990) s(2512) =< aux(984) s(2516) =< aux(985) it(25) =< aux(990) it(25) =< aux(991) aux(187) =< aux(990) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(990) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+24*s(2512)+12*s(2516)+9 Such that:aux(985) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(993) =< V+V1+V14 aux(994) =< V1+V14 s(2512) =< aux(993) s(2516) =< aux(985) it(25) =< aux(993) it(25) =< aux(994) aux(187) =< aux(993) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(993) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+36*s(2512)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(997) =< V+V1+V14 aux(998) =< V1+V14 s(2512) =< aux(997) it(25) =< aux(997) it(25) =< aux(998) aux(187) =< aux(997) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(997) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+23*s(1889)+14*s(2512)+10 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(984) =< Out aux(1000) =< V+V1+V14 aux(1001) =< V1+V14 s(1889) =< aux(1000) s(2512) =< aux(984) it(25) =< aux(1000) it(25) =< aux(1001) aux(187) =< aux(1000) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1000) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=2,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],31,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+37*s(1890)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1004) =< V+V1+V14 aux(1005) =< V1+V14 s(1890) =< aux(1004) it(25) =< aux(1004) it(25) =< aux(1005) aux(187) =< aux(1004) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1004) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+24*s(2548)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1014) =< V+V1+V14 aux(1015) =< V1+V14 s(2548) =< aux(1014) it(25) =< aux(1014) it(25) =< aux(1015) aux(187) =< aux(1014) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1014) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+12*s(2548)+4*s(2549)+8*s(2552)+9 Such that:aux(1012) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(1011) =< Out aux(1016) =< V1+V14 s(2549) =< aux(1011) s(2548) =< aux(1016) s(2552) =< aux(1012) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(1016) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+16*s(2548)+8*s(2552)+8 Such that:aux(1012) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(1017) =< V+V1+V14 aux(1018) =< V1+V14 s(2548) =< aux(1017) s(2552) =< aux(1012) it(25) =< aux(1017) it(25) =< aux(1018) aux(187) =< aux(1017) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1017) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+24*s(2548)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1020) =< V+V1+V14 aux(1021) =< V1+V14 s(2548) =< aux(1020) it(25) =< aux(1020) it(25) =< aux(1021) aux(187) =< aux(1020) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1020) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+21*s(1889)+4*s(2549)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1011) =< Out aux(1023) =< V+V1+V14 aux(1024) =< V1+V14 s(1889) =< aux(1023) s(2549) =< aux(1011) it(25) =< aux(1023) it(25) =< aux(1024) aux(187) =< aux(1023) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1023) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=3,V1>=2,V14>=2,Out>=1,V>=Out+1,V1>=Out,V14>=Out,V1+V14>=5,V1+V14>=2*Out+1] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,57]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+5*s(2143)+12*s(2548)+8*s(2552)+9 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(381) =< V+V1+V14-Out aux(165) =< V14 aux(1025) =< Out aux(1012) =< Out+1 aux(1026) =< V1+V14 s(2143) =< aux(1025) s(2548) =< aux(1026) s(2552) =< aux(1012) it(25) =< aux(380) it(25) =< aux(381) it(25) =< aux(1026) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],30,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+25*s(1890)+8 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1029) =< V+V1+V14 aux(1030) =< V1+V14 s(1890) =< aux(1029) it(25) =< aux(1029) it(25) =< aux(1030) aux(187) =< aux(1029) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1029) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out>=1,V>=Out+2,V1>=Out+1,V14>=Out+1,V1+V14>=2*Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,68]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+44*s(2572)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1041) =< V+V1+V14 aux(1042) =< V1+V14 s(2572) =< aux(1041) it(25) =< aux(1041) it(25) =< aux(1042) aux(187) =< aux(1041) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1041) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,64]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+28*s(2572)+16*s(2574)+10 Such that:aux(1040) =< 1 aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(165) =< V14 aux(1043) =< V+V1+V14-Out aux(1044) =< V1+V14 s(2572) =< aux(1043) s(2574) =< aux(1040) it(25) =< aux(380) it(25) =< aux(1043) it(25) =< aux(1044) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V>=2,V1>=1,V14>=1,Out>=1,V1+V14>=3,V+V1+V14>=Out+3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,63]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+28*s(2572)+16*s(2574)+9 Such that:aux(1040) =< 1 aux(379) =< V+V1 aux(165) =< V14 aux(1045) =< V+V1+V14 aux(1046) =< V1+V14 s(2572) =< aux(1046) s(2574) =< aux(1040) it(25) =< aux(1045) it(25) =< aux(1046) aux(187) =< aux(1045) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1045) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,59]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+44*s(2572)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1047) =< V+V1+V14 aux(1048) =< V1+V14 s(2572) =< aux(1047) it(25) =< aux(1047) it(25) =< aux(1048) aux(187) =< aux(1047) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1047) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [Out=0,V>=2,V1>=1,V14>=1,V1+V14>=3] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,58]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+45*s(1889)+10 Such that:aux(379) =< V+V1 aux(380) =< V+V1+V14 aux(165) =< V14 aux(1050) =< V+V1+V14-Out aux(1051) =< V1+V14 s(1889) =< aux(1050) it(25) =< aux(380) it(25) =< aux(1050) it(25) =< aux(1051) aux(187) =< aux(380) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(380) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=2,2*V>=5,V1+V14>=4,V1+3*V>=10,V14+3*V>=10,V1+V14+3*V>=13,V+V1+V14>=Out+4,V1+V14+3*V>=Out+10] * Chain [[25,26,27,28,33,34,35,36,37,38,39,40,41],29,56]: 93*it(25)+8*s(919)+2*s(920)+232*s(921)+210*s(922)+3*s(928)+335*s(929)+45*s(1890)+9 Such that:aux(379) =< V+V1 aux(165) =< V14 aux(1053) =< V+V1+V14 aux(1054) =< V1+V14 s(1890) =< aux(1053) it(25) =< aux(1053) it(25) =< aux(1054) aux(187) =< aux(1053) aux(166) =< aux(165) aux(167) =< aux(379) s(926) =< it(25)*aux(165) s(925) =< it(25)*aux(379) s(924) =< it(25)*aux(167) s(923) =< it(25)*aux(166) s(933) =< it(25)*aux(187) s(936) =< it(25)*aux(1053) s(922) =< s(924) s(921) =< s(923) s(929) =< s(933) s(928) =< s(936) s(920) =< s(926) s(919) =< s(925) with precondition: [V1>=1,V14>=1,Out>=1,2*V>=Out+4,V1+3*V>=2*Out+8,V14+3*V>=2*Out+8,V+V1>=Out+3,V+V14>=Out+3,V1+V14>=Out+3,V1+V14+3*V>=3*Out+10,V+V1+V14>=2*Out+5] * Chain [70]: 2 with precondition: [V=0,V1=0,V14=Out,V14>=0] * Chain [69]: 2 with precondition: [V=0,V14=0,V1=Out,V1>=0] * Chain [68]: 1 with precondition: [Out=0,V>=0,V1>=0,V14>=0] * Chain [67]: 1*s(1397)+2 Such that:s(1397) =< V14 with precondition: [V=0,V1=Out,V14>=1,V1>=V14] * Chain [66]: 1*s(1398)+2 Such that:s(1398) =< V1 with precondition: [V=0,V14=Out,V1>=1,V14>=V1] * Chain [65]: 1*s(1399)+1 Such that:s(1399) =< V14 with precondition: [V=0,Out>=1,V1>=Out,V14>=Out] * Chain [64]: 2 with precondition: [V1=0,V14=0,V=Out,V>=0] * Chain [63]: 1 with precondition: [V1=0,Out=0,V>=0,V14>=0] * Chain [62]: 1*s(1045)+2 Such that:s(1045) =< V14 with precondition: [V1=0,V=Out,V14>=1,V>=V14] * Chain [61]: 1*s(1046)+2 Such that:s(1046) =< V with precondition: [V1=0,V14=Out,V>=1,V14>=V] * Chain [60]: 1*s(1047)+1 Such that:s(1047) =< V14 with precondition: [V1=0,Out>=1,V>=Out,V14>=Out] * Chain [59]: 1 with precondition: [V14=0,Out=0,V>=0,V1>=0] * Chain [58]: 1*s(1889)+2 Such that:s(1889) =< V1 with precondition: [V14=0,V=Out,V1>=1,V>=V1] * Chain [57]: 1*s(2143)+2 Such that:s(2143) =< V with precondition: [V14=0,V1=Out,V>=1,V1>=V] * Chain [56]: 1*s(1890)+1 Such that:s(1890) =< V1 with precondition: [V14=0,Out>=1,V>=Out,V1>=Out] * Chain [55,70]: 95*s(1049)+38*s(1056)+71*s(1062)+8*s(1088)+8 Such that:aux(448) =< 1 aux(445) =< V aux(446) =< V1 aux(447) =< V14 s(1062) =< aux(446) s(1049) =< aux(447) s(1056) =< aux(445) s(1088) =< aux(448) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [55,69]: 95*s(1049)+38*s(1056)+71*s(1062)+8*s(1088)+8 Such that:aux(445) =< V aux(446) =< V1 aux(447) =< V14 aux(448) =< Out+1 s(1062) =< aux(446) s(1049) =< aux(447) s(1056) =< aux(445) s(1088) =< aux(448) with precondition: [Out>=0,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [55,68]: 103*s(1049)+38*s(1056)+71*s(1062)+7 Such that:aux(445) =< V aux(446) =< V1 aux(453) =< V14 s(1062) =< aux(446) s(1049) =< aux(453) s(1056) =< aux(445) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [55,64]: 95*s(1049)+38*s(1056)+71*s(1062)+8*s(1088)+8 Such that:aux(448) =< 1 aux(445) =< V aux(446) =< V1 aux(447) =< V14 s(1062) =< aux(446) s(1049) =< aux(447) s(1056) =< aux(445) s(1088) =< aux(448) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [55,63]: 95*s(1049)+38*s(1056)+71*s(1062)+8*s(1088)+7 Such that:aux(448) =< 1 aux(445) =< V aux(446) =< V1 aux(447) =< V14 s(1062) =< aux(446) s(1049) =< aux(447) s(1056) =< aux(445) s(1088) =< aux(448) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [55,59]: 103*s(1049)+38*s(1056)+71*s(1062)+7 Such that:aux(445) =< V aux(446) =< V1 aux(460) =< V14 s(1062) =< aux(446) s(1049) =< aux(460) s(1056) =< aux(445) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [54,70]: 46*s(1261)+42*s(1263)+12*s(1271)+33*s(1276)+4*s(1290)+8 Such that:aux(482) =< 1 aux(479) =< V aux(480) =< V1 aux(481) =< V14 aux(483) =< Out s(1261) =< aux(480) s(1276) =< aux(481) s(1263) =< aux(483) s(1271) =< aux(479) s(1290) =< aux(482) with precondition: [Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [54,68]: 46*s(1261)+75*s(1263)+16*s(1271)+7 Such that:aux(480) =< V1 aux(486) =< V aux(487) =< V14 s(1261) =< aux(480) s(1263) =< aux(487) s(1271) =< aux(486) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [54,67]: 46*s(1261)+43*s(1263)+12*s(1271)+33*s(1276)+4*s(1290)+8 Such that:aux(479) =< V aux(480) =< V1 aux(481) =< V14 aux(482) =< Out+1 aux(490) =< Out s(1263) =< aux(490) s(1261) =< aux(480) s(1276) =< aux(481) s(1271) =< aux(479) s(1290) =< aux(482) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [54,66]: 46*s(1261)+42*s(1263)+12*s(1271)+38*s(1276)+8 Such that:aux(479) =< V aux(480) =< V1 aux(483) =< Out aux(493) =< V14 s(1276) =< aux(493) s(1261) =< aux(480) s(1263) =< aux(483) s(1271) =< aux(479) with precondition: [V>=2,V1>=2,V14>=2,Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [54,65]: 50*s(1261)+54*s(1263)+34*s(1276)+7 Such that:aux(496) =< V aux(497) =< V1 aux(498) =< V14 s(1276) =< aux(498) s(1261) =< aux(497) s(1263) =< aux(496) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [54,63]: 46*s(1261)+54*s(1263)+33*s(1276)+4*s(1290)+7 Such that:aux(482) =< 1 aux(480) =< V1 aux(481) =< V14 aux(501) =< V s(1261) =< aux(480) s(1276) =< aux(481) s(1263) =< aux(501) s(1290) =< aux(482) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [53,70]: 48*s(1400)+26*s(1404)+8*s(1407)+8*s(1414)+9 Such that:aux(519) =< 1 aux(517) =< V aux(518) =< V14 aux(520) =< Out s(1400) =< aux(518) s(1404) =< aux(520) s(1407) =< aux(517) s(1414) =< aux(519) with precondition: [Out>=1,V1>=V14,V>=Out,V14>=Out] * Chain [53,68]: 48*s(1400)+42*s(1404)+8 Such that:aux(518) =< V14 aux(523) =< V s(1400) =< aux(518) s(1404) =< aux(523) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [53,67]: 75*s(1397)+8*s(1407)+8*s(1414)+9 Such that:aux(517) =< V aux(519) =< Out+1 aux(526) =< V14 s(1397) =< aux(526) s(1407) =< aux(517) s(1414) =< aux(519) with precondition: [V14>=1,Out>=1,V1>=V14,V>=Out+1,V1>=Out+1] * Chain [53,66]: 1*s(1398)+48*s(1400)+26*s(1404)+16*s(1407)+9 Such that:s(1398) =< V1 aux(518) =< V14 aux(520) =< Out aux(529) =< V s(1400) =< aux(518) s(1404) =< aux(520) s(1407) =< aux(529) with precondition: [V>=2,V1>=2,Out>=1,V1>=V14,V>=Out,V14>=Out] * Chain [53,65]: 75*s(1399)+16*s(1407)+8 Such that:aux(532) =< V aux(533) =< V14 s(1399) =< aux(533) s(1407) =< aux(532) with precondition: [Out>=1,V1>=V14,V>=Out+1,V1>=Out+1,V14>=Out] * Chain [53,63]: 74*s(1400)+8*s(1407)+8*s(1414)+8 Such that:aux(519) =< 1 aux(517) =< V aux(536) =< V14 s(1400) =< aux(536) s(1407) =< aux(517) s(1414) =< aux(519) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [52,70]: 22*s(1490)+24*s(1492)+12*s(1498)+9 Such that:aux(552) =< 1 aux(550) =< V1 aux(551) =< V14 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [52,69]: 22*s(1490)+24*s(1492)+12*s(1498)+9 Such that:aux(550) =< V1 aux(551) =< V14 aux(552) =< Out+1 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [V1>=1,Out>=0,V14>=V1,V>=Out+1,V14>=Out+1] * Chain [52,68]: 22*s(1490)+24*s(1492)+12*s(1498)+8 Such that:aux(552) =< V aux(550) =< V1 aux(551) =< V14 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [52,64]: 22*s(1490)+24*s(1492)+12*s(1498)+9 Such that:aux(552) =< 1 aux(550) =< V1 aux(551) =< V14 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [52,63]: 22*s(1490)+24*s(1492)+12*s(1498)+8 Such that:aux(552) =< 1 aux(550) =< V1 aux(551) =< V14 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [52,59]: 22*s(1490)+24*s(1492)+12*s(1498)+8 Such that:aux(552) =< V aux(550) =< V1 aux(551) =< V14 s(1490) =< aux(550) s(1492) =< aux(552) s(1498) =< aux(551) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [51,70]: 22*s(1548)+16*s(1550)+9 Such that:aux(572) =< 1 aux(571) =< V14 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [51,69]: 22*s(1548)+16*s(1550)+9 Such that:aux(571) =< V14 aux(572) =< Out+1 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [V14>=1,Out>=0,V1>=V14,V>=Out+1,V1>=Out+1] * Chain [51,68]: 22*s(1548)+16*s(1550)+8 Such that:aux(572) =< V aux(571) =< V14 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [51,64]: 22*s(1548)+16*s(1550)+9 Such that:aux(572) =< 1 aux(571) =< V14 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [51,63]: 22*s(1548)+16*s(1550)+8 Such that:aux(572) =< 1 aux(571) =< V14 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [51,59]: 22*s(1548)+16*s(1550)+8 Such that:aux(572) =< V aux(571) =< V14 s(1548) =< aux(571) s(1550) =< aux(572) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [50,70]: 15*s(1586)+12*s(1588)+12*s(1592)+8*s(1593)+9 Such that:aux(592) =< 1 aux(590) =< V1 aux(591) =< V14 aux(593) =< Out s(1586) =< aux(590) s(1592) =< aux(593) s(1588) =< aux(592) s(1593) =< aux(591) with precondition: [Out>=1,V14>=V1,V>=Out,V1>=Out] * Chain [50,68]: 27*s(1586)+12*s(1588)+8*s(1593)+8 Such that:aux(592) =< V aux(591) =< V14 aux(595) =< V1 s(1586) =< aux(595) s(1588) =< aux(592) s(1593) =< aux(591) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [50,67]: 28*s(1397)+12*s(1588)+8*s(1593)+9 Such that:aux(591) =< V14 aux(592) =< Out+1 aux(598) =< V1 s(1397) =< aux(598) s(1588) =< aux(592) s(1593) =< aux(591) with precondition: [V1>=1,Out>=1,V14>=V1,V>=Out+1,V14>=Out+1] * Chain [50,66]: 9*s(1398)+15*s(1586)+12*s(1588)+12*s(1592)+9 Such that:aux(592) =< V aux(590) =< V1 aux(593) =< Out aux(600) =< V14 s(1398) =< aux(600) s(1586) =< aux(590) s(1592) =< aux(593) s(1588) =< aux(592) with precondition: [V>=2,V14>=2,Out>=1,V14>=V1,V>=Out,V1>=Out] * Chain [50,65]: 28*s(1399)+12*s(1588)+8*s(1593)+8 Such that:aux(592) =< V aux(591) =< V14 aux(603) =< V1 s(1399) =< aux(603) s(1588) =< aux(592) s(1593) =< aux(591) with precondition: [Out>=1,V14>=V1,V>=Out+1,V1>=Out,V14>=Out+1] * Chain [50,63]: 27*s(1586)+12*s(1588)+8*s(1593)+8 Such that:aux(592) =< 1 aux(591) =< V14 aux(606) =< V1 s(1586) =< aux(606) s(1588) =< aux(592) s(1593) =< aux(591) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [49,68]: 128*s(1634)+6*s(1641)+122*s(1644)+8 Such that:aux(660) =< V aux(661) =< V1 aux(664) =< V14 s(1644) =< aux(661) s(1634) =< aux(664) s(1641) =< aux(660) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [49,64]: 120*s(1634)+6*s(1641)+122*s(1644)+8*s(1673)+9 Such that:aux(663) =< 1 aux(661) =< V1 aux(662) =< V14 aux(660) =< Out s(1644) =< aux(661) s(1634) =< aux(662) s(1641) =< aux(660) s(1673) =< aux(663) with precondition: [V=Out,V>=1,V1>=1,V14>=1] * Chain [49,63]: 120*s(1634)+6*s(1641)+122*s(1644)+8*s(1673)+8 Such that:aux(663) =< 1 aux(660) =< V aux(661) =< V1 aux(662) =< V14 s(1644) =< aux(661) s(1634) =< aux(662) s(1641) =< aux(660) s(1673) =< aux(663) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [49,59]: 128*s(1634)+6*s(1641)+122*s(1644)+8 Such that:aux(660) =< V aux(661) =< V1 aux(671) =< V14 s(1644) =< aux(661) s(1634) =< aux(671) s(1641) =< aux(660) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [49,58]: 129*s(1634)+6*s(1641)+122*s(1644)+9 Such that:aux(661) =< V1 aux(660) =< Out aux(674) =< V14 s(1634) =< aux(674) s(1644) =< aux(661) s(1641) =< aux(660) with precondition: [V=Out,V>=2,V1>=2,V14>=2] * Chain [49,56]: 129*s(1634)+6*s(1641)+122*s(1644)+8 Such that:aux(660) =< V aux(661) =< V1 aux(677) =< V14 s(1634) =< aux(677) s(1644) =< aux(661) s(1641) =< aux(660) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [48,68]: 40*s(1891)+46*s(1892)+24*s(1929)+9 Such that:aux(711) =< V1 aux(710) =< V14 aux(713) =< V s(1892) =< aux(713) s(1891) =< aux(710) s(1929) =< aux(711) with precondition: [Out=0,V>=1,V14>=1,V1>=V,V1>=V14] * Chain [48,64]: 40*s(1891)+38*s(1892)+8*s(1921)+24*s(1929)+10 Such that:aux(712) =< 1 aux(709) =< V aux(710) =< V14 aux(711) =< Out s(1892) =< aux(709) s(1891) =< aux(710) s(1929) =< aux(711) s(1921) =< aux(712) with precondition: [V1=Out,V>=1,V14>=1,V1>=V,V1>=V14] * Chain [48,63]: 40*s(1891)+38*s(1892)+8*s(1921)+24*s(1929)+9 Such that:aux(712) =< 1 aux(709) =< V aux(711) =< V1 aux(710) =< V14 s(1892) =< aux(709) s(1891) =< aux(710) s(1929) =< aux(711) s(1921) =< aux(712) with precondition: [Out=0,V>=1,V14>=1,V1>=V,V1>=V14] * Chain [48,59]: 40*s(1891)+46*s(1892)+24*s(1929)+9 Such that:aux(711) =< V1 aux(710) =< V14 aux(719) =< V s(1892) =< aux(719) s(1891) =< aux(710) s(1929) =< aux(711) with precondition: [Out=0,V>=1,V14>=1,V1>=V,V1>=V14] * Chain [48,58]: 47*s(1889)+40*s(1891)+24*s(1929)+10 Such that:aux(710) =< V14 aux(711) =< Out aux(722) =< V s(1889) =< aux(722) s(1891) =< aux(710) s(1929) =< aux(711) with precondition: [V1=Out,V>=2,V14>=1,V1>=V,V1>=V14] * Chain [48,56]: 47*s(1890)+40*s(1891)+24*s(1929)+9 Such that:aux(711) =< V1 aux(710) =< V14 aux(724) =< V s(1890) =< aux(724) s(1891) =< aux(710) s(1929) =< aux(711) with precondition: [V14>=1,Out>=1,V1>=V,V1>=V14,V>=Out+1] * Chain [47,68]: 34*s(2001)+46*s(2002)+62*s(2021)+8 Such that:aux(755) =< V1 aux(756) =< V14 aux(759) =< V s(2021) =< aux(755) s(2002) =< aux(759) s(2001) =< aux(756) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [47,64]: 34*s(2001)+28*s(2002)+62*s(2021)+6*s(2059)+12*s(2071)+9 Such that:aux(758) =< 1 aux(754) =< V aux(755) =< V1 aux(756) =< V14 aux(757) =< Out s(2021) =< aux(755) s(2002) =< aux(757) s(2059) =< aux(754) s(2001) =< aux(756) s(2071) =< aux(758) with precondition: [V1>=1,Out>=1,V14>=V1,V>=Out,V14>=Out] * Chain [47,63]: 34*s(2001)+34*s(2002)+62*s(2021)+12*s(2071)+8 Such that:aux(758) =< 1 aux(755) =< V1 aux(756) =< V14 aux(764) =< V s(2021) =< aux(755) s(2002) =< aux(764) s(2001) =< aux(756) s(2071) =< aux(758) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [47,59]: 34*s(2001)+46*s(2002)+62*s(2021)+8 Such that:aux(755) =< V1 aux(756) =< V14 aux(767) =< V s(2021) =< aux(755) s(2002) =< aux(767) s(2001) =< aux(756) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [47,58]: 47*s(1889)+28*s(2002)+62*s(2021)+6*s(2059)+9 Such that:aux(754) =< V aux(755) =< V1 aux(757) =< Out aux(770) =< V14 s(1889) =< aux(770) s(2021) =< aux(755) s(2002) =< aux(757) s(2059) =< aux(754) with precondition: [V>=2,V1>=1,V14>=2,Out>=1,V14>=V1,V>=Out,V14>=Out] * Chain [47,57]: 34*s(2001)+29*s(2002)+62*s(2021)+6*s(2059)+12*s(2071)+9 Such that:aux(754) =< V aux(755) =< V1 aux(756) =< V14 aux(758) =< Out+1 aux(773) =< Out s(2002) =< aux(773) s(2021) =< aux(755) s(2059) =< aux(754) s(2001) =< aux(756) s(2071) =< aux(758) with precondition: [V1>=1,Out>=1,V14>=V1,V>=Out+1,V14>=Out+1] * Chain [47,56]: 19*s(1890)+62*s(2001)+62*s(2021)+8 Such that:aux(755) =< V1 aux(776) =< V aux(777) =< V14 s(1890) =< aux(776) s(2021) =< aux(755) s(2001) =< aux(777) with precondition: [V1>=1,Out>=1,V14>=V1,V>=Out+1,V14>=Out+1] * Chain [46,68]: 40*s(2144)+30*s(2145)+9 Such that:aux(798) =< V1 aux(800) =< V s(2145) =< aux(800) s(2144) =< aux(798) with precondition: [Out=0,V>=1,V1>=1,V14>=V,V14>=V1] * Chain [46,64]: 40*s(2144)+22*s(2145)+8*s(2174)+10 Such that:aux(799) =< 1 aux(797) =< V aux(798) =< V1 s(2145) =< aux(797) s(2144) =< aux(798) s(2174) =< aux(799) with precondition: [V14=Out,V>=1,V1>=1,V14>=V,V14>=V1] * Chain [46,63]: 40*s(2144)+22*s(2145)+8*s(2174)+9 Such that:aux(799) =< 1 aux(797) =< V aux(798) =< V1 s(2145) =< aux(797) s(2144) =< aux(798) s(2174) =< aux(799) with precondition: [Out=0,V>=1,V1>=1,V14>=V,V14>=V1] * Chain [46,59]: 40*s(2144)+30*s(2145)+9 Such that:aux(798) =< V1 aux(806) =< V s(2145) =< aux(806) s(2144) =< aux(798) with precondition: [Out=0,V>=1,V1>=1,V14>=V,V14>=V1] * Chain [46,58]: 31*s(1889)+40*s(2144)+10 Such that:aux(798) =< V1 aux(809) =< V s(1889) =< aux(809) s(2144) =< aux(798) with precondition: [V14=Out,V>=2,V1>=1,V14>=V,V14>=V1] * Chain [46,56]: 31*s(1890)+40*s(2144)+9 Such that:aux(798) =< V1 aux(811) =< V s(1890) =< aux(811) s(2144) =< aux(798) with precondition: [V1>=1,Out>=1,V14>=V,V14>=V1,V>=Out+1] * Chain [45,68]: 24*s(2214)+24*s(2215)+10*s(2219)+7 Such that:aux(823) =< V14 aux(826) =< V aux(827) =< V1 s(2215) =< aux(826) s(2214) =< aux(827) s(2219) =< aux(823) with precondition: [Out=0,V>=1,V1>=V,V14>=V] * Chain [45,64]: 12*s(2214)+20*s(2215)+10*s(2219)+12*s(2222)+4*s(2264)+8 Such that:aux(825) =< 1 aux(821) =< V aux(822) =< V1 aux(823) =< V14 aux(824) =< Out s(2215) =< aux(821) s(2222) =< aux(822) s(2219) =< aux(823) s(2214) =< aux(824) s(2264) =< aux(825) with precondition: [V>=1,Out>=V,V1>=Out,V14>=Out] * Chain [45,63]: 22*s(2214)+20*s(2215)+12*s(2222)+4*s(2264)+7 Such that:aux(825) =< 1 aux(821) =< V aux(822) =< V1 aux(832) =< V14 s(2215) =< aux(821) s(2222) =< aux(822) s(2214) =< aux(832) s(2264) =< aux(825) with precondition: [Out=0,V>=1,V1>=V,V14>=V] * Chain [45,59]: 24*s(2214)+24*s(2215)+10*s(2219)+7 Such that:aux(823) =< V14 aux(835) =< V aux(836) =< V1 s(2215) =< aux(835) s(2214) =< aux(836) s(2219) =< aux(823) with precondition: [Out=0,V>=1,V1>=V,V14>=V] * Chain [45,58]: 25*s(1889)+12*s(2214)+10*s(2219)+12*s(2222)+8 Such that:aux(822) =< V1 aux(823) =< V14 aux(824) =< Out aux(839) =< V s(1889) =< aux(839) s(2222) =< aux(822) s(2219) =< aux(823) s(2214) =< aux(824) with precondition: [V>=2,Out>=V,V1>=Out,V14>=Out] * Chain [45,56]: 25*s(1890)+22*s(2214)+12*s(2222)+7 Such that:aux(822) =< V1 aux(842) =< V aux(843) =< V14 s(1890) =< aux(842) s(2222) =< aux(822) s(2214) =< aux(843) with precondition: [Out>=1,V1>=V,V14>=V,V>=Out+1] * Chain [44,68]: 18*s(2272)+14*s(2273)+8 Such that:aux(855) =< V aux(856) =< V14 s(2273) =< aux(855) s(2272) =< aux(856) with precondition: [Out=0,V>=1,V14>=V,V1>=V14] * Chain [44,64]: 6*s(2272)+10*s(2273)+12*s(2274)+4*s(2296)+9 Such that:aux(854) =< 1 aux(851) =< V aux(852) =< V14 aux(853) =< Out s(2273) =< aux(851) s(2274) =< aux(852) s(2272) =< aux(853) s(2296) =< aux(854) with precondition: [V>=1,Out>=V,V1>=V14,V14>=Out] * Chain [44,63]: 18*s(2272)+10*s(2273)+4*s(2296)+8 Such that:aux(854) =< 1 aux(851) =< V aux(861) =< V14 s(2273) =< aux(851) s(2272) =< aux(861) s(2296) =< aux(854) with precondition: [Out=0,V>=1,V14>=V,V1>=V14] * Chain [44,59]: 18*s(2272)+14*s(2273)+8 Such that:aux(864) =< V aux(865) =< V14 s(2273) =< aux(864) s(2272) =< aux(865) with precondition: [Out=0,V>=1,V14>=V,V1>=V14] * Chain [44,58]: 15*s(1889)+6*s(2272)+12*s(2274)+9 Such that:aux(852) =< V14 aux(853) =< Out aux(868) =< V s(1889) =< aux(868) s(2274) =< aux(852) s(2272) =< aux(853) with precondition: [V>=2,Out>=V,V1>=V14,V14>=Out] * Chain [44,56]: 15*s(1890)+18*s(2272)+8 Such that:aux(871) =< V aux(872) =< V14 s(1890) =< aux(871) s(2272) =< aux(872) with precondition: [Out>=1,V14>=V,V1>=V14,V>=Out+1] * Chain [43,68]: 62*s(2304)+38*s(2305)+2*s(2327)+8 Such that:s(2326) =< V1 aux(895) =< V14 aux(898) =< V s(2304) =< aux(895) s(2305) =< aux(898) s(2327) =< s(2326) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [43,64]: 62*s(2304)+20*s(2305)+6*s(2322)+2*s(2327)+12*s(2334)+9 Such that:aux(897) =< 1 aux(894) =< V s(2326) =< V1 aux(895) =< V14 aux(896) =< Out s(2304) =< aux(895) s(2305) =< aux(896) s(2322) =< aux(894) s(2327) =< s(2326) s(2334) =< aux(897) with precondition: [V14>=1,Out>=1,V1>=V14,V>=Out,V1>=Out] * Chain [43,63]: 62*s(2304)+26*s(2305)+2*s(2327)+12*s(2334)+8 Such that:aux(897) =< 1 s(2326) =< V1 aux(895) =< V14 aux(903) =< V s(2304) =< aux(895) s(2305) =< aux(903) s(2327) =< s(2326) s(2334) =< aux(897) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [43,59]: 62*s(2304)+38*s(2305)+2*s(2327)+8 Such that:s(2326) =< V1 aux(895) =< V14 aux(906) =< V s(2304) =< aux(895) s(2305) =< aux(906) s(2327) =< s(2326) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [43,58]: 15*s(1889)+62*s(2304)+20*s(2305)+6*s(2322)+9 Such that:aux(894) =< V aux(895) =< V14 aux(896) =< Out aux(909) =< V1 s(1889) =< aux(909) s(2304) =< aux(895) s(2305) =< aux(896) s(2322) =< aux(894) with precondition: [V>=2,V1>=2,V14>=1,Out>=1,V1>=V14,V>=Out,V1>=Out] * Chain [43,57]: 21*s(2143)+62*s(2304)+6*s(2322)+2*s(2327)+12*s(2334)+9 Such that:aux(894) =< V s(2326) =< V1 aux(895) =< V14 aux(897) =< Out+1 aux(912) =< Out s(2143) =< aux(912) s(2304) =< aux(895) s(2322) =< aux(894) s(2327) =< s(2326) s(2334) =< aux(897) with precondition: [V14>=1,Out>=1,V1>=V14,V>=Out+1,V1>=Out+1] * Chain [43,56]: 19*s(1890)+62*s(2304)+22*s(2305)+8 Such that:aux(895) =< V14 aux(915) =< V aux(916) =< V1 s(1890) =< aux(915) s(2304) =< aux(895) s(2305) =< aux(916) with precondition: [V14>=1,Out>=1,V1>=V14,V>=Out+1,V1>=Out+1] * Chain [42,68]: 15*s(2406)+12*s(2407)+11*s(2408)+6 Such that:aux(924) =< V1 aux(928) =< V aux(929) =< V14 s(2406) =< aux(924) s(2408) =< aux(929) s(2407) =< aux(928) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [42,64]: 15*s(2406)+8*s(2407)+7*s(2408)+4*s(2424)+4*s(2436)+7 Such that:aux(927) =< 1 aux(923) =< V aux(924) =< V1 aux(925) =< V14 aux(926) =< Out s(2406) =< aux(924) s(2408) =< aux(925) s(2407) =< aux(926) s(2424) =< aux(923) s(2436) =< aux(927) with precondition: [Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [42,63]: 15*s(2406)+12*s(2407)+7*s(2408)+4*s(2436)+6 Such that:aux(927) =< 1 aux(924) =< V1 aux(925) =< V14 aux(934) =< V s(2406) =< aux(924) s(2408) =< aux(925) s(2407) =< aux(934) s(2436) =< aux(927) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [42,59]: 15*s(2406)+12*s(2407)+11*s(2408)+6 Such that:aux(924) =< V1 aux(937) =< V aux(938) =< V14 s(2406) =< aux(924) s(2408) =< aux(938) s(2407) =< aux(937) with precondition: [Out=0,V>=1,V1>=1,V14>=1] * Chain [42,58]: 12*s(1889)+15*s(2406)+8*s(2407)+4*s(2424)+7 Such that:aux(923) =< V aux(924) =< V1 aux(926) =< Out aux(941) =< V14 s(1889) =< aux(941) s(2406) =< aux(924) s(2407) =< aux(926) s(2424) =< aux(923) with precondition: [V>=2,V1>=2,V14>=2,Out>=1,V>=Out,V1>=Out,V14>=Out] * Chain [42,57]: 9*s(2143)+15*s(2406)+7*s(2408)+4*s(2424)+4*s(2436)+7 Such that:aux(923) =< V aux(924) =< V1 aux(925) =< V14 aux(927) =< Out+1 aux(944) =< Out s(2143) =< aux(944) s(2406) =< aux(924) s(2408) =< aux(925) s(2424) =< aux(923) s(2436) =< aux(927) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [42,56]: 8*s(1890)+15*s(2406)+16*s(2407)+6 Such that:aux(924) =< V1 aux(947) =< V aux(948) =< V14 s(1890) =< aux(948) s(2406) =< aux(924) s(2407) =< aux(947) with precondition: [Out>=1,V>=Out+1,V1>=Out+1,V14>=Out+1] * Chain [32,68]: 30*s(2444)+24*s(2446)+14*s(2457)+9 Such that:aux(964) =< V aux(962) =< V1 aux(963) =< V14 s(2444) =< aux(962) s(2457) =< aux(963) s(2446) =< aux(964) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [32,64]: 30*s(2444)+24*s(2446)+14*s(2457)+10 Such that:aux(964) =< 1 aux(962) =< V1 aux(963) =< V14 s(2444) =< aux(962) s(2457) =< aux(963) s(2446) =< aux(964) with precondition: [V=Out,V>=1,V1>=1,V14>=V1] * Chain [32,63]: 30*s(2444)+24*s(2446)+14*s(2457)+9 Such that:aux(964) =< 1 aux(962) =< V1 aux(963) =< V14 s(2444) =< aux(962) s(2457) =< aux(963) s(2446) =< aux(964) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [32,59]: 30*s(2444)+24*s(2446)+14*s(2457)+9 Such that:aux(964) =< V aux(962) =< V1 aux(963) =< V14 s(2444) =< aux(962) s(2457) =< aux(963) s(2446) =< aux(964) with precondition: [Out=0,V>=1,V1>=1,V14>=V1] * Chain [32,58]: 39*s(1889)+30*s(2444)+10 Such that:aux(962) =< V1 aux(972) =< V14 s(1889) =< aux(972) s(2444) =< aux(962) with precondition: [V=Out,V>=2,V1>=1,V14>=2,V14>=V1] * Chain [32,56]: 15*s(1890)+30*s(2444)+24*s(2446)+9 Such that:aux(964) =< V aux(962) =< V1 aux(974) =< V14 s(1890) =< aux(974) s(2444) =< aux(962) s(2446) =< aux(964) with precondition: [V1>=1,Out>=1,V14>=V1,V>=Out+1,V14>=Out+1] * Chain [31,68]: 18*s(2512)+18*s(2513)+9 Such that:aux(986) =< V aux(987) =< V1 s(2513) =< aux(986) s(2512) =< aux(987) with precondition: [Out=0,V>=1,V1>=V,V14>=V1] * Chain [31,64]: 14*s(2512)+6*s(2513)+12*s(2516)+4*s(2538)+10 Such that:aux(985) =< 1 aux(982) =< V aux(983) =< V1 aux(984) =< Out s(2513) =< aux(982) s(2538) =< aux(983) s(2512) =< aux(984) s(2516) =< aux(985) with precondition: [V>=1,Out>=V,V14>=V1,V1>=Out] * Chain [31,63]: 18*s(2512)+6*s(2513)+12*s(2516)+9 Such that:aux(985) =< 1 aux(982) =< V aux(992) =< V1 s(2513) =< aux(982) s(2512) =< aux(992) s(2516) =< aux(985) with precondition: [Out=0,V>=1,V1>=V,V14>=V1] * Chain [31,59]: 18*s(2512)+18*s(2513)+9 Such that:aux(995) =< V aux(996) =< V1 s(2513) =< aux(995) s(2512) =< aux(996) with precondition: [Out=0,V>=1,V1>=V,V14>=V1] * Chain [31,58]: 19*s(1889)+14*s(2512)+4*s(2538)+10 Such that:aux(983) =< V1 aux(984) =< Out aux(999) =< V s(1889) =< aux(999) s(2538) =< aux(983) s(2512) =< aux(984) with precondition: [V>=2,Out>=V,V14>=V1,V1>=Out] * Chain [31,56]: 19*s(1890)+18*s(2512)+9 Such that:aux(1002) =< V aux(1003) =< V1 s(1890) =< aux(1002) s(2512) =< aux(1003) with precondition: [Out>=1,V1>=V,V14>=V1,V>=Out+1] * Chain [30,68]: 20*s(2548)+4*s(2549)+8 Such that:aux(1011) =< V aux(1013) =< V14 s(2549) =< aux(1011) s(2548) =< aux(1013) with precondition: [Out=0,V1=V14,V>=1,V1>=1] * Chain [30,64]: 12*s(2548)+4*s(2549)+8*s(2552)+9 Such that:aux(1012) =< 1 aux(1010) =< V14 aux(1011) =< Out s(2549) =< aux(1011) s(2548) =< aux(1010) s(2552) =< aux(1012) with precondition: [V1=V14,Out>=1,V>=Out,V1>=Out] * Chain [30,63]: 12*s(2548)+4*s(2549)+8*s(2552)+8 Such that:aux(1012) =< 1 aux(1011) =< V aux(1010) =< V14 s(2549) =< aux(1011) s(2548) =< aux(1010) s(2552) =< aux(1012) with precondition: [Out=0,V1=V14,V>=1,V1>=1] * Chain [30,59]: 20*s(2548)+4*s(2549)+8 Such that:aux(1011) =< V aux(1019) =< V14 s(2549) =< aux(1011) s(2548) =< aux(1019) with precondition: [Out=0,V1=V14,V>=1,V1>=1] * Chain [30,58]: 9*s(1889)+12*s(2548)+4*s(2549)+9 Such that:aux(1010) =< V14 aux(1011) =< Out aux(1022) =< V s(1889) =< aux(1022) s(2549) =< aux(1011) s(2548) =< aux(1010) with precondition: [V1=V14,V>=2,V1>=2,Out>=1,V>=Out,V1>=Out] * Chain [30,57]: 5*s(2143)+12*s(2548)+8*s(2552)+9 Such that:aux(1010) =< V14 aux(1012) =< Out+1 aux(1025) =< Out s(2143) =< aux(1025) s(2548) =< aux(1010) s(2552) =< aux(1012) with precondition: [V1=V14,Out>=1,V>=Out+1,V1>=Out+1] * Chain [30,56]: 13*s(1890)+12*s(2549)+8 Such that:aux(1027) =< V aux(1028) =< V14 s(1890) =< aux(1028) s(2549) =< aux(1027) with precondition: [V1=V14,Out>=1,V>=Out+1,V1>=Out+1] * Chain [29,68]: 24*s(2572)+16*s(2574)+4*s(2581)+9 Such that:aux(1040) =< V aux(1038) =< V1 aux(1039) =< V14 s(2581) =< aux(1038) s(2572) =< aux(1039) s(2574) =< aux(1040) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [29,64]: 24*s(2572)+16*s(2574)+4*s(2581)+10 Such that:aux(1040) =< 1 aux(1038) =< V1 aux(1039) =< V14 s(2581) =< aux(1038) s(2572) =< aux(1039) s(2574) =< aux(1040) with precondition: [V=Out,V>=1,V14>=1,V1>=V14] * Chain [29,63]: 24*s(2572)+16*s(2574)+4*s(2581)+9 Such that:aux(1040) =< 1 aux(1038) =< V1 aux(1039) =< V14 s(2581) =< aux(1038) s(2572) =< aux(1039) s(2574) =< aux(1040) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [29,59]: 24*s(2572)+16*s(2574)+4*s(2581)+9 Such that:aux(1040) =< V aux(1038) =< V1 aux(1039) =< V14 s(2581) =< aux(1038) s(2572) =< aux(1039) s(2574) =< aux(1040) with precondition: [Out=0,V>=1,V14>=1,V1>=V14] * Chain [29,58]: 21*s(1889)+24*s(2572)+10 Such that:aux(1039) =< V14 aux(1049) =< V1 s(1889) =< aux(1049) s(2572) =< aux(1039) with precondition: [V=Out,V>=2,V1>=2,V14>=1,V1>=V14] * Chain [29,56]: 5*s(1890)+24*s(2572)+16*s(2574)+9 Such that:aux(1040) =< V aux(1039) =< V14 aux(1052) =< V1 s(1890) =< aux(1052) s(2572) =< aux(1039) s(2574) =< aux(1040) with precondition: [V14>=1,Out>=1,V1>=V14,V>=Out+1,V1>=Out+1] #### Cost of chains of start(V,V1,V14): * Chain [73]: 3084*s(5933)+1981*s(5935)+3760*s(5937)+864*s(5949)+599*s(5951)+10695*s(5952)+24150*s(5962)+26680*s(5963)+38525*s(5964)+345*s(5965)+230*s(5966)+920*s(5967)+9001*s(5968)+136*s(6042)+93*s(6078)+210*s(6088)+232*s(6089)+335*s(6090)+3*s(6091)+2*s(6092)+8*s(6093)+16*s(6115)+93*s(6116)+210*s(6126)+232*s(6127)+335*s(6128)+3*s(6129)+2*s(6130)+8*s(6131)+10 Such that:aux(1095) =< V+V1+V14+2 aux(1096) =< 1 aux(1097) =< V aux(1098) =< V+V1 aux(1099) =< V+V1+V14 aux(1100) =< V+V1+V14+1 aux(1101) =< V1 aux(1102) =< V1+V14 aux(1103) =< V14 s(5935) =< aux(1097) s(5933) =< aux(1101) s(5937) =< aux(1103) s(5949) =< aux(1096) s(5951) =< aux(1102) s(5952) =< aux(1099) s(5952) =< aux(1102) s(5953) =< aux(1099) s(5954) =< aux(1103) s(5955) =< aux(1098) s(5956) =< s(5952)*aux(1103) s(5957) =< s(5952)*aux(1098) s(5958) =< s(5952)*s(5955) s(5959) =< s(5952)*s(5954) s(5960) =< s(5952)*s(5953) s(5961) =< s(5952)*aux(1099) s(5962) =< s(5958) s(5963) =< s(5959) s(5964) =< s(5960) s(5965) =< s(5961) s(5966) =< s(5956) s(5967) =< s(5957) s(5968) =< aux(1099) s(6042) =< aux(1100) s(6078) =< aux(1099) s(6078) =< aux(1100) s(6078) =< aux(1102) s(6082) =< s(6078)*aux(1103) s(6083) =< s(6078)*aux(1098) s(6084) =< s(6078)*s(5955) s(6085) =< s(6078)*s(5954) s(6086) =< s(6078)*s(5953) s(6087) =< s(6078)*aux(1099) s(6088) =< s(6084) s(6089) =< s(6085) s(6090) =< s(6086) s(6091) =< s(6087) s(6092) =< s(6082) s(6093) =< s(6083) s(6115) =< aux(1095) s(6116) =< aux(1099) s(6116) =< aux(1095) s(6116) =< aux(1102) s(6120) =< s(6116)*aux(1103) s(6121) =< s(6116)*aux(1098) s(6122) =< s(6116)*s(5955) s(6123) =< s(6116)*s(5954) s(6124) =< s(6116)*s(5953) s(6125) =< s(6116)*aux(1099) s(6126) =< s(6122) s(6127) =< s(6123) s(6128) =< s(6124) s(6129) =< s(6125) s(6130) =< s(6120) s(6131) =< s(6121) with precondition: [V>=0] * Chain [72]: 2*s(6136)+1*s(6137)+2 Such that:s(6137) =< V aux(1104) =< V1 s(6136) =< aux(1104) with precondition: [V14=0,V>=0,V1>=0] * Chain [71]: 2*s(6139)+1*s(6140)+2 Such that:s(6140) =< V aux(1105) =< V14 s(6139) =< aux(1105) with precondition: [V1=0,V>=0] Closed-form bounds of start(V,V1,V14): ------------------------------------- * Chain [73] with precondition: [V>=0] - Upper bound: 1981*V+874+nat(V1)*3084+nat(V14)*3760+nat(V14)*27378*nat(V+V1+V14)+nat(V+V1)*25506*nat(V+V1+V14)+nat(V1+V14)*599+nat(V+V1+V14)*19882+nat(V+V1+V14)*39546*nat(V+V1+V14)+nat(V+V1+V14+1)*136+nat(V+V1+V14+2)*16 - Complexity: n^2 * Chain [72] with precondition: [V14=0,V>=0,V1>=0] - Upper bound: V+2*V1+2 - Complexity: n * Chain [71] with precondition: [V1=0,V>=0] - Upper bound: V+2+nat(V14)*2 - Complexity: n ### Maximum cost of start(V,V1,V14): V+2+max([nat(V14)*2,1980*V+872+nat(V1)*3082+nat(V14)*3760+nat(V14)*27378*nat(V+V1+V14)+nat(V+V1)*25506*nat(V+V1+V14)+nat(V1+V14)*599+nat(V+V1+V14)*19882+nat(V+V1+V14)*39546*nat(V+V1+V14)+nat(V+V1+V14+1)*136+nat(V+V1+V14+2)*16+nat(V1)*2]) Asymptotic class: n^2 * Total analysis performed in 29607 ms. ---------------------------------------- (10) BOUNDS(1, n^2) ---------------------------------------- (11) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (12) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: min(0, y) -> 0 min(x, 0) -> 0 min(s(x), s(y)) -> s(min(x, y)) max(0, y) -> y max(x, 0) -> x max(s(x), s(y)) -> s(max(x, y)) p(s(x)) -> x f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) f(0, y, z) -> max(y, z) f(x, 0, z) -> max(x, z) f(x, y, 0) -> max(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (13) DecreasingLoopProof (LOWER BOUND(ID)) The following loop(s) give(s) rise to the lower bound Omega(n^1): The rewrite sequence min(s(x), s(y)) ->^+ s(min(x, y)) gives rise to a decreasing loop by considering the right hand sides subterm at position [0]. The pumping substitution is [x / s(x), y / s(y)]. The result substitution is [ ]. ---------------------------------------- (14) Complex Obligation (BEST) ---------------------------------------- (15) Obligation: Proved the lower bound n^1 for the following obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: min(0, y) -> 0 min(x, 0) -> 0 min(s(x), s(y)) -> s(min(x, y)) max(0, y) -> y max(x, 0) -> x max(s(x), s(y)) -> s(max(x, y)) p(s(x)) -> x f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) f(0, y, z) -> max(y, z) f(x, 0, z) -> max(x, z) f(x, y, 0) -> max(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (16) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (17) BOUNDS(n^1, INF) ---------------------------------------- (18) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: min(0, y) -> 0 min(x, 0) -> 0 min(s(x), s(y)) -> s(min(x, y)) max(0, y) -> y max(x, 0) -> x max(s(x), s(y)) -> s(max(x, y)) p(s(x)) -> x f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))) f(0, y, z) -> max(y, z) f(x, 0, z) -> max(x, z) f(x, y, 0) -> max(x, y) S is empty. Rewrite Strategy: INNERMOST