1121.46/291.49 WORST_CASE(Omega(n^1), O(n^2)) 1121.73/291.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 1121.73/291.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1121.73/291.57 1121.73/291.57 1121.73/291.57 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). 1121.73/291.57 1121.73/291.57 (0) CpxTRS 1121.73/291.57 (1) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] 1121.73/291.57 (2) CpxWeightedTrs 1121.73/291.57 (3) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms] 1121.73/291.57 (4) CpxWeightedTrs 1121.73/291.57 (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 1121.73/291.57 (6) CpxTypedWeightedTrs 1121.73/291.57 (7) CompletionProof [UPPER BOUND(ID), 0 ms] 1121.73/291.57 (8) CpxTypedWeightedCompleteTrs 1121.73/291.57 (9) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] 1121.73/291.57 (10) CpxRNTS 1121.73/291.57 (11) CompleteCoflocoProof [FINISHED, 7503 ms] 1121.73/291.57 (12) BOUNDS(1, n^2) 1121.73/291.57 (13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] 1121.73/291.57 (14) TRS for Loop Detection 1121.73/291.57 (15) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] 1121.73/291.57 (16) BEST 1121.73/291.57 (17) proven lower bound 1121.73/291.57 (18) LowerBoundPropagationProof [FINISHED, 0 ms] 1121.73/291.57 (19) BOUNDS(n^1, INF) 1121.73/291.57 (20) TRS for Loop Detection 1121.73/291.57 1121.73/291.57 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (0) 1121.73/291.57 Obligation: 1121.73/291.57 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). 1121.73/291.57 1121.73/291.57 1121.73/291.57 The TRS R consists of the following rules: 1121.73/291.57 1121.73/291.57 min(x, 0) -> 0 1121.73/291.57 min(0, y) -> 0 1121.73/291.57 min(s(x), s(y)) -> s(min(x, y)) 1121.73/291.57 max(x, 0) -> x 1121.73/291.57 max(0, y) -> y 1121.73/291.57 max(s(x), s(y)) -> s(max(x, y)) 1121.73/291.57 -(x, 0) -> x 1121.73/291.57 -(s(x), s(y)) -> -(x, y) 1121.73/291.57 gcd(s(x), s(y)) -> gcd(-(s(max(x, y)), s(min(x, y))), s(min(x, y))) 1121.73/291.57 1121.73/291.57 S is empty. 1121.73/291.57 Rewrite Strategy: INNERMOST 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (1) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) 1121.73/291.57 Transformed relative TRS to weighted TRS 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (2) 1121.73/291.57 Obligation: 1121.73/291.57 The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^2). 1121.73/291.57 1121.73/291.57 1121.73/291.57 The TRS R consists of the following rules: 1121.73/291.57 1121.73/291.57 min(x, 0) -> 0 [1] 1121.73/291.57 min(0, y) -> 0 [1] 1121.73/291.57 min(s(x), s(y)) -> s(min(x, y)) [1] 1121.73/291.57 max(x, 0) -> x [1] 1121.73/291.57 max(0, y) -> y [1] 1121.73/291.57 max(s(x), s(y)) -> s(max(x, y)) [1] 1121.73/291.57 -(x, 0) -> x [1] 1121.73/291.57 -(s(x), s(y)) -> -(x, y) [1] 1121.73/291.57 gcd(s(x), s(y)) -> gcd(-(s(max(x, y)), s(min(x, y))), s(min(x, y))) [1] 1121.73/291.57 1121.73/291.57 Rewrite Strategy: INNERMOST 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (3) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID)) 1121.73/291.57 Renamed defined symbols to avoid conflicts with arithmetic symbols: 1121.73/291.57 1121.73/291.57 - => minus 1121.73/291.57 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (4) 1121.73/291.57 Obligation: 1121.73/291.57 The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^2). 1121.73/291.57 1121.73/291.57 1121.73/291.57 The TRS R consists of the following rules: 1121.73/291.57 1121.73/291.57 min(x, 0) -> 0 [1] 1121.73/291.57 min(0, y) -> 0 [1] 1121.73/291.57 min(s(x), s(y)) -> s(min(x, y)) [1] 1121.73/291.57 max(x, 0) -> x [1] 1121.73/291.57 max(0, y) -> y [1] 1121.73/291.57 max(s(x), s(y)) -> s(max(x, y)) [1] 1121.73/291.57 minus(x, 0) -> x [1] 1121.73/291.57 minus(s(x), s(y)) -> minus(x, y) [1] 1121.73/291.57 gcd(s(x), s(y)) -> gcd(minus(s(max(x, y)), s(min(x, y))), s(min(x, y))) [1] 1121.73/291.57 1121.73/291.57 Rewrite Strategy: INNERMOST 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (5) TypeInferenceProof (BOTH BOUNDS(ID, ID)) 1121.73/291.57 Infered types. 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (6) 1121.73/291.57 Obligation: 1121.73/291.57 Runtime Complexity Weighted TRS with Types. 1121.73/291.57 The TRS R consists of the following rules: 1121.73/291.57 1121.73/291.57 min(x, 0) -> 0 [1] 1121.73/291.57 min(0, y) -> 0 [1] 1121.73/291.57 min(s(x), s(y)) -> s(min(x, y)) [1] 1121.73/291.57 max(x, 0) -> x [1] 1121.73/291.57 max(0, y) -> y [1] 1121.73/291.57 max(s(x), s(y)) -> s(max(x, y)) [1] 1121.73/291.57 minus(x, 0) -> x [1] 1121.73/291.57 minus(s(x), s(y)) -> minus(x, y) [1] 1121.73/291.57 gcd(s(x), s(y)) -> gcd(minus(s(max(x, y)), s(min(x, y))), s(min(x, y))) [1] 1121.73/291.57 1121.73/291.57 The TRS has the following type information: 1121.73/291.57 min :: 0:s -> 0:s -> 0:s 1121.73/291.57 0 :: 0:s 1121.73/291.57 s :: 0:s -> 0:s 1121.73/291.57 max :: 0:s -> 0:s -> 0:s 1121.73/291.57 minus :: 0:s -> 0:s -> 0:s 1121.73/291.57 gcd :: 0:s -> 0:s -> gcd 1121.73/291.57 1121.73/291.57 Rewrite Strategy: INNERMOST 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (7) CompletionProof (UPPER BOUND(ID)) 1121.73/291.57 The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: 1121.73/291.57 1121.73/291.57 minus(v0, v1) -> null_minus [0] 1121.73/291.57 gcd(v0, v1) -> null_gcd [0] 1121.73/291.57 min(v0, v1) -> null_min [0] 1121.73/291.57 max(v0, v1) -> null_max [0] 1121.73/291.57 1121.73/291.57 And the following fresh constants: null_minus, null_gcd, null_min, null_max 1121.73/291.57 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (8) 1121.73/291.57 Obligation: 1121.73/291.57 Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: 1121.73/291.57 1121.73/291.57 Runtime Complexity Weighted TRS with Types. 1121.73/291.57 The TRS R consists of the following rules: 1121.73/291.57 1121.73/291.57 min(x, 0) -> 0 [1] 1121.73/291.57 min(0, y) -> 0 [1] 1121.73/291.57 min(s(x), s(y)) -> s(min(x, y)) [1] 1121.73/291.57 max(x, 0) -> x [1] 1121.73/291.57 max(0, y) -> y [1] 1121.73/291.57 max(s(x), s(y)) -> s(max(x, y)) [1] 1121.73/291.57 minus(x, 0) -> x [1] 1121.73/291.57 minus(s(x), s(y)) -> minus(x, y) [1] 1121.73/291.57 gcd(s(x), s(y)) -> gcd(minus(s(max(x, y)), s(min(x, y))), s(min(x, y))) [1] 1121.73/291.57 minus(v0, v1) -> null_minus [0] 1121.73/291.57 gcd(v0, v1) -> null_gcd [0] 1121.73/291.57 min(v0, v1) -> null_min [0] 1121.73/291.57 max(v0, v1) -> null_max [0] 1121.73/291.57 1121.73/291.57 The TRS has the following type information: 1121.73/291.57 min :: 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max 1121.73/291.57 0 :: 0:s:null_minus:null_min:null_max 1121.73/291.57 s :: 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max 1121.73/291.57 max :: 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max 1121.73/291.57 minus :: 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max 1121.73/291.57 gcd :: 0:s:null_minus:null_min:null_max -> 0:s:null_minus:null_min:null_max -> null_gcd 1121.73/291.57 null_minus :: 0:s:null_minus:null_min:null_max 1121.73/291.57 null_gcd :: null_gcd 1121.73/291.57 null_min :: 0:s:null_minus:null_min:null_max 1121.73/291.57 null_max :: 0:s:null_minus:null_min:null_max 1121.73/291.57 1121.73/291.57 Rewrite Strategy: INNERMOST 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (9) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) 1121.73/291.57 Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. 1121.73/291.57 The constant constructors are abstracted as follows: 1121.73/291.57 1121.73/291.57 0 => 0 1121.73/291.57 null_minus => 0 1121.73/291.57 null_gcd => 0 1121.73/291.57 null_min => 0 1121.73/291.57 null_max => 0 1121.73/291.57 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (10) 1121.73/291.57 Obligation: 1121.73/291.57 Complexity RNTS consisting of the following rules: 1121.73/291.57 1121.73/291.57 gcd(z, z') -{ 1 }-> gcd(minus(1 + max(x, y), 1 + min(x, y)), 1 + min(x, y)) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x 1121.73/291.57 gcd(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 1121.73/291.57 max(z, z') -{ 1 }-> x :|: x >= 0, z = x, z' = 0 1121.73/291.57 max(z, z') -{ 1 }-> y :|: y >= 0, z = 0, z' = y 1121.73/291.57 max(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 1121.73/291.57 max(z, z') -{ 1 }-> 1 + max(x, y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x 1121.73/291.57 min(z, z') -{ 1 }-> 0 :|: x >= 0, z = x, z' = 0 1121.73/291.57 min(z, z') -{ 1 }-> 0 :|: y >= 0, z = 0, z' = y 1121.73/291.57 min(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 1121.73/291.57 min(z, z') -{ 1 }-> 1 + min(x, y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x 1121.73/291.57 minus(z, z') -{ 1 }-> x :|: x >= 0, z = x, z' = 0 1121.73/291.57 minus(z, z') -{ 1 }-> minus(x, y) :|: z' = 1 + y, x >= 0, y >= 0, z = 1 + x 1121.73/291.57 minus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 1121.73/291.57 1121.73/291.57 Only complete derivations are relevant for the runtime complexity. 1121.73/291.57 1121.73/291.57 ---------------------------------------- 1121.73/291.57 1121.73/291.57 (11) CompleteCoflocoProof (FINISHED) 1121.73/291.57 Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo: 1121.73/291.57 1121.73/291.57 eq(start(V1, V),0,[min(V1, V, Out)],[V1 >= 0,V >= 0]). 1121.73/291.57 eq(start(V1, V),0,[max(V1, V, Out)],[V1 >= 0,V >= 0]). 1121.73/291.57 eq(start(V1, V),0,[minus(V1, V, Out)],[V1 >= 0,V >= 0]). 1121.73/291.57 eq(start(V1, V),0,[gcd(V1, V, Out)],[V1 >= 0,V >= 0]). 1121.73/291.57 eq(min(V1, V, Out),1,[],[Out = 0,V2 >= 0,V1 = V2,V = 0]). 1121.73/291.57 eq(min(V1, V, Out),1,[],[Out = 0,V3 >= 0,V1 = 0,V = V3]). 1121.73/291.57 eq(min(V1, V, Out),1,[min(V4, V5, Ret1)],[Out = 1 + Ret1,V = 1 + V5,V4 >= 0,V5 >= 0,V1 = 1 + V4]). 1121.73/291.57 eq(max(V1, V, Out),1,[],[Out = V6,V6 >= 0,V1 = V6,V = 0]). 1121.73/291.57 eq(max(V1, V, Out),1,[],[Out = V7,V7 >= 0,V1 = 0,V = V7]). 1121.73/291.57 eq(max(V1, V, Out),1,[max(V8, V9, Ret11)],[Out = 1 + Ret11,V = 1 + V9,V8 >= 0,V9 >= 0,V1 = 1 + V8]). 1121.73/291.57 eq(minus(V1, V, Out),1,[],[Out = V10,V10 >= 0,V1 = V10,V = 0]). 1121.73/291.57 eq(minus(V1, V, Out),1,[minus(V12, V11, Ret)],[Out = Ret,V = 1 + V11,V12 >= 0,V11 >= 0,V1 = 1 + V12]). 1121.73/291.57 eq(gcd(V1, V, Out),1,[max(V14, V13, Ret001),min(V14, V13, Ret011),minus(1 + Ret001, 1 + Ret011, Ret0),min(V14, V13, Ret111),gcd(Ret0, 1 + Ret111, Ret2)],[Out = Ret2,V = 1 + V13,V14 >= 0,V13 >= 0,V1 = 1 + V14]). 1121.73/291.57 eq(minus(V1, V, Out),0,[],[Out = 0,V16 >= 0,V15 >= 0,V1 = V16,V = V15]). 1121.73/291.57 eq(gcd(V1, V, Out),0,[],[Out = 0,V18 >= 0,V17 >= 0,V1 = V18,V = V17]). 1121.73/291.57 eq(min(V1, V, Out),0,[],[Out = 0,V20 >= 0,V19 >= 0,V1 = V20,V = V19]). 1121.73/291.57 eq(max(V1, V, Out),0,[],[Out = 0,V21 >= 0,V22 >= 0,V1 = V21,V = V22]). 1121.73/291.57 input_output_vars(min(V1,V,Out),[V1,V],[Out]). 1121.73/291.57 input_output_vars(max(V1,V,Out),[V1,V],[Out]). 1121.73/291.57 input_output_vars(minus(V1,V,Out),[V1,V],[Out]). 1121.73/291.57 input_output_vars(gcd(V1,V,Out),[V1,V],[Out]). 1121.73/291.57 1121.73/291.57 1121.73/291.57 CoFloCo proof output: 1121.73/291.57 Preprocessing Cost Relations 1121.73/291.57 ===================================== 1121.73/291.57 1121.73/291.57 #### Computed strongly connected components 1121.73/291.57 0. recursive : [max/3] 1121.73/291.57 1. recursive : [min/3] 1121.73/291.57 2. recursive : [minus/3] 1121.73/291.57 3. recursive : [gcd/3] 1121.73/291.57 4. non_recursive : [start/2] 1121.73/291.57 1121.73/291.57 #### Obtained direct recursion through partial evaluation 1121.73/291.57 0. SCC is partially evaluated into max/3 1121.73/291.57 1. SCC is partially evaluated into min/3 1121.73/291.57 2. SCC is partially evaluated into minus/3 1121.73/291.57 3. SCC is partially evaluated into gcd/3 1121.73/291.57 4. SCC is partially evaluated into start/2 1121.73/291.57 1121.73/291.57 Control-Flow Refinement of Cost Relations 1121.73/291.57 ===================================== 1121.73/291.57 1121.73/291.57 ### Specialization of cost equations max/3 1121.73/291.57 * CE 12 is refined into CE [18] 1121.73/291.57 * CE 9 is refined into CE [19] 1121.73/291.57 * CE 10 is refined into CE [20] 1121.73/291.57 * CE 11 is refined into CE [21] 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Cost equations --> "Loop" of max/3 1121.73/291.57 * CEs [21] --> Loop 14 1121.73/291.57 * CEs [18] --> Loop 15 1121.73/291.57 * CEs [19] --> Loop 16 1121.73/291.57 * CEs [20] --> Loop 17 1121.73/291.57 1121.73/291.57 ### Ranking functions of CR max(V1,V,Out) 1121.73/291.57 * RF of phase [14]: [V,V1] 1121.73/291.57 1121.73/291.57 #### Partial ranking functions of CR max(V1,V,Out) 1121.73/291.57 * Partial RF of phase [14]: 1121.73/291.57 - RF of loop [14:1]: 1121.73/291.57 V 1121.73/291.57 V1 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Specialization of cost equations min/3 1121.73/291.57 * CE 5 is refined into CE [22] 1121.73/291.57 * CE 6 is refined into CE [23] 1121.73/291.57 * CE 8 is refined into CE [24] 1121.73/291.57 * CE 7 is refined into CE [25] 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Cost equations --> "Loop" of min/3 1121.73/291.57 * CEs [25] --> Loop 18 1121.73/291.57 * CEs [22] --> Loop 19 1121.73/291.57 * CEs [23,24] --> Loop 20 1121.73/291.57 1121.73/291.57 ### Ranking functions of CR min(V1,V,Out) 1121.73/291.57 * RF of phase [18]: [V,V1] 1121.73/291.57 1121.73/291.57 #### Partial ranking functions of CR min(V1,V,Out) 1121.73/291.57 * Partial RF of phase [18]: 1121.73/291.57 - RF of loop [18:1]: 1121.73/291.57 V 1121.73/291.57 V1 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Specialization of cost equations minus/3 1121.73/291.57 * CE 15 is refined into CE [26] 1121.73/291.57 * CE 13 is refined into CE [27] 1121.73/291.57 * CE 14 is refined into CE [28] 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Cost equations --> "Loop" of minus/3 1121.73/291.57 * CEs [28] --> Loop 21 1121.73/291.57 * CEs [26] --> Loop 22 1121.73/291.57 * CEs [27] --> Loop 23 1121.73/291.57 1121.73/291.57 ### Ranking functions of CR minus(V1,V,Out) 1121.73/291.57 * RF of phase [21]: [V,V1] 1121.73/291.57 1121.73/291.57 #### Partial ranking functions of CR minus(V1,V,Out) 1121.73/291.57 * Partial RF of phase [21]: 1121.73/291.57 - RF of loop [21:1]: 1121.73/291.57 V 1121.73/291.57 V1 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Specialization of cost equations gcd/3 1121.73/291.57 * CE 17 is refined into CE [29] 1121.73/291.57 * CE 16 is refined into CE [30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63] 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Cost equations --> "Loop" of gcd/3 1121.73/291.57 * CEs [47] --> Loop 24 1121.73/291.57 * CEs [55] --> Loop 25 1121.73/291.57 * CEs [59] --> Loop 26 1121.73/291.57 * CEs [51] --> Loop 27 1121.73/291.57 * CEs [43] --> Loop 28 1121.73/291.57 * CEs [46] --> Loop 29 1121.73/291.57 * CEs [54] --> Loop 30 1121.73/291.57 * CEs [58] --> Loop 31 1121.73/291.57 * CEs [62] --> Loop 32 1121.73/291.57 * CEs [50] --> Loop 33 1121.73/291.57 * CEs [42] --> Loop 34 1121.73/291.57 * CEs [41,45] --> Loop 35 1121.73/291.57 * CEs [35,37,39,49,53,57,61,63] --> Loop 36 1121.73/291.57 * CEs [33] --> Loop 37 1121.73/291.57 * CEs [32] --> Loop 38 1121.73/291.57 * CEs [31] --> Loop 39 1121.73/291.57 * CEs [30,34,36,38,40,44,48,52,56,60] --> Loop 40 1121.73/291.57 * CEs [29] --> Loop 41 1121.73/291.57 1121.73/291.57 ### Ranking functions of CR gcd(V1,V,Out) 1121.73/291.57 * RF of phase [24,25,26,27,28,36]: [V1+V-3] 1121.73/291.57 * RF of phase [37,39]: [V1+V-1] 1121.73/291.57 1121.73/291.57 #### Partial ranking functions of CR gcd(V1,V,Out) 1121.73/291.57 * Partial RF of phase [24,25,26,27,28,36]: 1121.73/291.57 - RF of loop [24:1,26:1,28:1,36:1]: 1121.73/291.57 V1-1 depends on loops [25:1,27:1] 1121.73/291.57 - RF of loop [25:1,26:1,27:1,36:1]: 1121.73/291.57 V1+V-3 1121.73/291.57 * Partial RF of phase [37,39]: 1121.73/291.57 - RF of loop [37:1]: 1121.73/291.57 V1 depends on loops [39:1] 1121.73/291.57 - RF of loop [39:1]: 1121.73/291.57 V1+V-1 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Specialization of cost equations start/2 1121.73/291.57 * CE 1 is refined into CE [64,65] 1121.73/291.57 * CE 2 is refined into CE [66,67,68,69,70,71] 1121.73/291.57 * CE 3 is refined into CE [72,73,74] 1121.73/291.57 * CE 4 is refined into CE [75] 1121.73/291.57 1121.73/291.57 1121.73/291.57 ### Cost equations --> "Loop" of start/2 1121.73/291.57 * CEs [67,72] --> Loop 42 1121.73/291.57 * CEs [64,65,66,68,69,70,71,73,74,75] --> Loop 43 1121.73/291.57 1121.73/291.57 ### Ranking functions of CR start(V1,V) 1121.73/291.57 1121.73/291.57 #### Partial ranking functions of CR start(V1,V) 1121.73/291.57 1121.73/291.57 1121.73/291.57 Computing Bounds 1121.73/291.57 ===================================== 1121.73/291.57 1121.73/291.57 #### Cost of chains of max(V1,V,Out): 1121.73/291.57 * Chain [[14],17]: 1*it(14)+1 1121.73/291.57 Such that:it(14) =< V1 1121.73/291.57 1121.73/291.57 with precondition: [V=Out,V1>=1,V>=V1] 1121.73/291.57 1121.73/291.57 * Chain [[14],16]: 1*it(14)+1 1121.73/291.57 Such that:it(14) =< V 1121.73/291.57 1121.73/291.57 with precondition: [V1=Out,V>=1,V1>=V] 1121.73/291.57 1121.73/291.57 * Chain [[14],15]: 1*it(14)+0 1121.73/291.57 Such that:it(14) =< Out 1121.73/291.57 1121.73/291.57 with precondition: [Out>=1,V1>=Out,V>=Out] 1121.73/291.57 1121.73/291.57 * Chain [17]: 1 1121.73/291.57 with precondition: [V1=0,V=Out,V>=0] 1121.73/291.57 1121.73/291.57 * Chain [16]: 1 1121.73/291.57 with precondition: [V=0,V1=Out,V1>=0] 1121.73/291.57 1121.73/291.57 * Chain [15]: 0 1121.73/291.57 with precondition: [Out=0,V1>=0,V>=0] 1121.73/291.57 1121.73/291.57 1121.73/291.57 #### Cost of chains of min(V1,V,Out): 1121.73/291.57 * Chain [[18],20]: 1*it(18)+1 1121.73/291.57 Such that:it(18) =< Out 1121.73/291.57 1121.73/291.57 with precondition: [Out>=1,V1>=Out,V>=Out] 1121.73/291.57 1121.73/291.57 * Chain [[18],19]: 1*it(18)+1 1121.73/291.57 Such that:it(18) =< Out 1121.73/291.57 1121.73/291.57 with precondition: [V=Out,V>=1,V1>=V] 1121.73/291.57 1121.73/291.57 * Chain [20]: 1 1121.73/291.57 with precondition: [Out=0,V1>=0,V>=0] 1121.73/291.57 1121.73/291.57 * Chain [19]: 1 1121.73/291.57 with precondition: [V=0,Out=0,V1>=0] 1121.73/291.57 1121.73/291.57 1121.73/291.57 #### Cost of chains of minus(V1,V,Out): 1121.73/291.57 * Chain [[21],23]: 1*it(21)+1 1121.73/291.57 Such that:it(21) =< V 1121.73/291.57 1121.73/291.57 with precondition: [V1=Out+V,V>=1,V1>=V] 1121.73/291.57 1121.73/291.57 * Chain [[21],22]: 1*it(21)+0 1121.73/291.57 Such that:it(21) =< V 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=1,V>=1] 1121.73/291.57 1121.73/291.57 * Chain [23]: 1 1121.73/291.57 with precondition: [V=0,V1=Out,V1>=0] 1121.73/291.57 1121.73/291.57 * Chain [22]: 0 1121.73/291.57 with precondition: [Out=0,V1>=0,V>=0] 1121.73/291.57 1121.73/291.57 1121.73/291.57 #### Cost of chains of gcd(V1,V,Out): 1121.73/291.57 * Chain [[37,39],41]: 5*it(37)+6*it(39)+1*s(8)+0 1121.73/291.57 Such that:aux(13) =< V1 1121.73/291.57 aux(14) =< V1+V 1121.73/291.57 aux(15) =< V 1121.73/291.57 aux(6) =< aux(14) 1121.73/291.57 it(37) =< aux(14) 1121.73/291.57 it(39) =< aux(14) 1121.73/291.57 aux(6) =< aux(15)+aux(13) 1121.73/291.57 it(37) =< aux(15)+aux(13) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=1,V>=1] 1121.73/291.57 1121.73/291.57 * Chain [[37,39],40,41]: 5*it(37)+15*it(39)+1*s(8)+15*s(10)+4 1121.73/291.57 Such that:aux(23) =< 1 1121.73/291.57 aux(24) =< V1 1121.73/291.57 aux(25) =< V1+V 1121.73/291.57 aux(26) =< V 1121.73/291.57 s(10) =< aux(23) 1121.73/291.57 it(39) =< aux(25) 1121.73/291.57 aux(6) =< aux(25) 1121.73/291.57 it(37) =< aux(25) 1121.73/291.57 aux(6) =< aux(26)+aux(24) 1121.73/291.57 it(37) =< aux(26)+aux(24) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=1,V>=1,V+V1>=3] 1121.73/291.57 1121.73/291.57 * Chain [[37,39],38,41]: 5*it(37)+6*it(39)+1*s(8)+1*s(34)+4 1121.73/291.57 Such that:s(34) =< 1 1121.73/291.57 aux(27) =< V1 1121.73/291.57 aux(28) =< V1+V 1121.73/291.57 aux(29) =< V 1121.73/291.57 aux(6) =< aux(28) 1121.73/291.57 it(37) =< aux(28) 1121.73/291.57 it(39) =< aux(28) 1121.73/291.57 aux(6) =< aux(29)+aux(27) 1121.73/291.57 it(37) =< aux(29)+aux(27) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=1,V>=1,V+V1>=3] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],[37,39],41]: 18*it(24)+20*it(25)+5*it(37)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+0 1121.73/291.57 Such that:aux(90) =< V1 1121.73/291.57 aux(91) =< V1+V 1121.73/291.57 aux(92) =< V 1121.73/291.57 aux(6) =< aux(91) 1121.73/291.57 it(37) =< aux(91) 1121.73/291.57 it(25) =< aux(91) 1121.73/291.57 aux(6) =< aux(91)+aux(91) 1121.73/291.57 it(37) =< aux(91)+aux(91) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(91) 1121.73/291.57 it(24) =< aux(91) 1121.73/291.57 aux(55) =< aux(91) 1121.73/291.57 aux(52) =< aux(92) 1121.73/291.57 aux(62) =< aux(91)-1 1121.73/291.57 aux(61) =< aux(92)+aux(92)+aux(90) 1121.73/291.57 it(24) =< aux(92)+aux(92)+aux(90) 1121.73/291.57 s(133) =< it(25)*aux(91) 1121.73/291.57 s(132) =< aux(92)+aux(92)+aux(90) 1121.73/291.57 s(155) =< aux(92)+aux(92)+aux(90) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(92) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],[37,39],40,41]: 18*it(24)+29*it(25)+5*it(37)+1*s(8)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4 1121.73/291.57 Such that:aux(23) =< 1 1121.73/291.57 aux(93) =< V1 1121.73/291.57 aux(94) =< V1+V 1121.73/291.57 aux(95) =< V 1121.73/291.57 s(10) =< aux(23) 1121.73/291.57 it(25) =< aux(94) 1121.73/291.57 aux(6) =< aux(94) 1121.73/291.57 it(37) =< aux(94) 1121.73/291.57 aux(6) =< aux(94)+aux(94) 1121.73/291.57 it(37) =< aux(94)+aux(94) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(94) 1121.73/291.57 it(24) =< aux(94) 1121.73/291.57 aux(55) =< aux(94) 1121.73/291.57 aux(52) =< aux(95) 1121.73/291.57 aux(62) =< aux(94)-1 1121.73/291.57 aux(61) =< aux(95)+aux(95)+aux(93) 1121.73/291.57 it(24) =< aux(95)+aux(95)+aux(93) 1121.73/291.57 s(133) =< it(25)*aux(94) 1121.73/291.57 s(132) =< aux(95)+aux(95)+aux(93) 1121.73/291.57 s(155) =< aux(95)+aux(95)+aux(93) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(95) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],[37,39],38,41]: 18*it(24)+20*it(25)+5*it(37)+1*s(8)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4 1121.73/291.57 Such that:s(34) =< 1 1121.73/291.57 aux(96) =< V1 1121.73/291.57 aux(97) =< V1+V 1121.73/291.57 aux(98) =< V 1121.73/291.57 aux(6) =< aux(97) 1121.73/291.57 it(37) =< aux(97) 1121.73/291.57 it(25) =< aux(97) 1121.73/291.57 aux(6) =< aux(97)+aux(97) 1121.73/291.57 it(37) =< aux(97)+aux(97) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(97) 1121.73/291.57 it(24) =< aux(97) 1121.73/291.57 aux(55) =< aux(97) 1121.73/291.57 aux(52) =< aux(98) 1121.73/291.57 aux(62) =< aux(97)-1 1121.73/291.57 aux(61) =< aux(98)+aux(98)+aux(96) 1121.73/291.57 it(24) =< aux(98)+aux(98)+aux(96) 1121.73/291.57 s(133) =< it(25)*aux(97) 1121.73/291.57 s(132) =< aux(98)+aux(98)+aux(96) 1121.73/291.57 s(155) =< aux(98)+aux(98)+aux(96) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(98) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+0 1121.73/291.57 Such that:aux(99) =< V1 1121.73/291.57 aux(100) =< V1+V 1121.73/291.57 aux(101) =< V 1121.73/291.57 aux(61) =< aux(100) 1121.73/291.57 it(24) =< aux(100) 1121.73/291.57 it(25) =< aux(100) 1121.73/291.57 aux(55) =< aux(100) 1121.73/291.57 aux(52) =< aux(101) 1121.73/291.57 aux(62) =< aux(100)-1 1121.73/291.57 aux(61) =< aux(101)+aux(101)+aux(99) 1121.73/291.57 it(24) =< aux(101)+aux(101)+aux(99) 1121.73/291.57 s(133) =< it(25)*aux(100) 1121.73/291.57 s(132) =< aux(101)+aux(101)+aux(99) 1121.73/291.57 s(155) =< aux(101)+aux(101)+aux(99) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(101) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],40,41]: 18*it(24)+32*it(25)+6*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4 1121.73/291.57 Such that:aux(20) =< 1 1121.73/291.57 aux(102) =< V1 1121.73/291.57 aux(103) =< V1+V 1121.73/291.57 aux(104) =< V 1121.73/291.57 s(10) =< aux(20) 1121.73/291.57 it(25) =< aux(103) 1121.73/291.57 aux(61) =< aux(103) 1121.73/291.57 it(24) =< aux(103) 1121.73/291.57 aux(55) =< aux(103) 1121.73/291.57 aux(52) =< aux(104) 1121.73/291.57 aux(62) =< aux(103)-1 1121.73/291.57 aux(61) =< aux(104)+aux(104)+aux(102) 1121.73/291.57 it(24) =< aux(104)+aux(104)+aux(102) 1121.73/291.57 s(133) =< it(25)*aux(103) 1121.73/291.57 s(132) =< aux(104)+aux(104)+aux(102) 1121.73/291.57 s(155) =< aux(104)+aux(104)+aux(102) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(104) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],35,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9*s(160)+1*s(161)+4 1121.73/291.57 Such that:s(161) =< 1 1121.73/291.57 aux(109) =< V1 1121.73/291.57 aux(110) =< V1+V 1121.73/291.57 aux(111) =< V 1121.73/291.57 s(160) =< aux(111) 1121.73/291.57 aux(61) =< aux(110) 1121.73/291.57 it(24) =< aux(110) 1121.73/291.57 it(25) =< aux(110) 1121.73/291.57 aux(55) =< aux(110) 1121.73/291.57 aux(52) =< aux(111) 1121.73/291.57 aux(62) =< aux(110)-1 1121.73/291.57 aux(61) =< aux(111)+aux(111)+aux(109) 1121.73/291.57 it(24) =< aux(111)+aux(111)+aux(109) 1121.73/291.57 s(133) =< it(25)*aux(110) 1121.73/291.57 s(132) =< aux(111)+aux(111)+aux(109) 1121.73/291.57 s(155) =< aux(111)+aux(111)+aux(109) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(111) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,[37,39],41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(171)+5 1121.73/291.57 Such that:aux(112) =< 1 1121.73/291.57 aux(114) =< V1 1121.73/291.57 aux(115) =< V1+V 1121.73/291.57 aux(116) =< V 1121.73/291.57 it(25) =< aux(115) 1121.73/291.57 s(171) =< aux(112) 1121.73/291.57 aux(6) =< aux(115) 1121.73/291.57 it(37) =< aux(115) 1121.73/291.57 aux(6) =< aux(112)+aux(115) 1121.73/291.57 it(37) =< aux(112)+aux(115) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(115) 1121.73/291.57 it(24) =< aux(115) 1121.73/291.57 aux(55) =< aux(115) 1121.73/291.57 aux(52) =< aux(116) 1121.73/291.57 aux(62) =< aux(115)-1 1121.73/291.57 aux(61) =< aux(116)+aux(116)+aux(114) 1121.73/291.57 it(24) =< aux(116)+aux(116)+aux(114) 1121.73/291.57 s(133) =< it(25)*aux(115) 1121.73/291.57 s(132) =< aux(116)+aux(116)+aux(114) 1121.73/291.57 s(155) =< aux(116)+aux(116)+aux(114) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(116) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,[37,39],40,41]: 18*it(24)+30*it(25)+5*it(37)+1*s(8)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(117) =< 1 1121.73/291.57 aux(119) =< V1 1121.73/291.57 aux(120) =< V1+V 1121.73/291.57 aux(121) =< V 1121.73/291.57 it(25) =< aux(120) 1121.73/291.57 s(10) =< aux(117) 1121.73/291.57 aux(6) =< aux(120) 1121.73/291.57 it(37) =< aux(120) 1121.73/291.57 aux(6) =< aux(117)+aux(120) 1121.73/291.57 it(37) =< aux(117)+aux(120) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(120) 1121.73/291.57 it(24) =< aux(120) 1121.73/291.57 aux(55) =< aux(120) 1121.73/291.57 aux(52) =< aux(121) 1121.73/291.57 aux(62) =< aux(120)-1 1121.73/291.57 aux(61) =< aux(121)+aux(121)+aux(119) 1121.73/291.57 it(24) =< aux(121)+aux(121)+aux(119) 1121.73/291.57 s(133) =< it(25)*aux(120) 1121.73/291.57 s(132) =< aux(121)+aux(121)+aux(119) 1121.73/291.57 s(155) =< aux(121)+aux(121)+aux(119) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(121) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=6] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,[37,39],38,41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(122) =< 1 1121.73/291.57 aux(124) =< V1 1121.73/291.57 aux(125) =< V1+V 1121.73/291.57 aux(126) =< V 1121.73/291.57 it(25) =< aux(125) 1121.73/291.57 s(34) =< aux(122) 1121.73/291.57 aux(6) =< aux(125) 1121.73/291.57 it(37) =< aux(125) 1121.73/291.57 aux(6) =< aux(122)+aux(125) 1121.73/291.57 it(37) =< aux(122)+aux(125) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(125) 1121.73/291.57 it(24) =< aux(125) 1121.73/291.57 aux(55) =< aux(125) 1121.73/291.57 aux(52) =< aux(126) 1121.73/291.57 aux(62) =< aux(125)-1 1121.73/291.57 aux(61) =< aux(126)+aux(126)+aux(124) 1121.73/291.57 it(24) =< aux(126)+aux(126)+aux(124) 1121.73/291.57 s(133) =< it(25)*aux(125) 1121.73/291.57 s(132) =< aux(126)+aux(126)+aux(124) 1121.73/291.57 s(155) =< aux(126)+aux(126)+aux(124) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(126) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=6] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(170)+1*s(171)+5 1121.73/291.57 Such that:s(171) =< 1 1121.73/291.57 aux(127) =< V1 1121.73/291.57 aux(128) =< V1+V 1121.73/291.57 aux(129) =< V 1121.73/291.57 s(170) =< aux(129) 1121.73/291.57 aux(61) =< aux(128) 1121.73/291.57 it(24) =< aux(128) 1121.73/291.57 it(25) =< aux(128) 1121.73/291.57 aux(55) =< aux(128) 1121.73/291.57 aux(52) =< aux(129) 1121.73/291.57 aux(62) =< aux(128)-1 1121.73/291.57 aux(61) =< aux(129)+aux(129)+aux(127) 1121.73/291.57 it(24) =< aux(129)+aux(129)+aux(127) 1121.73/291.57 s(133) =< it(25)*aux(128) 1121.73/291.57 s(132) =< aux(129)+aux(129)+aux(127) 1121.73/291.57 s(155) =< aux(129)+aux(129)+aux(127) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(129) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,40,41]: 18*it(24)+24*it(25)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(130) =< 1 1121.73/291.57 aux(131) =< V1 1121.73/291.57 aux(132) =< V1+V 1121.73/291.57 aux(133) =< V 1121.73/291.57 it(25) =< aux(132) 1121.73/291.57 s(10) =< aux(130) 1121.73/291.57 aux(61) =< aux(132) 1121.73/291.57 it(24) =< aux(132) 1121.73/291.57 aux(55) =< aux(132) 1121.73/291.57 aux(52) =< aux(133) 1121.73/291.57 aux(62) =< aux(132)-1 1121.73/291.57 aux(61) =< aux(133)+aux(133)+aux(131) 1121.73/291.57 it(24) =< aux(133)+aux(133)+aux(131) 1121.73/291.57 s(133) =< it(25)*aux(132) 1121.73/291.57 s(132) =< aux(133)+aux(133)+aux(131) 1121.73/291.57 s(155) =< aux(133)+aux(133)+aux(131) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(133) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],34,38,41]: 18*it(24)+14*it(25)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(170)+9 1121.73/291.57 Such that:aux(134) =< 1 1121.73/291.57 aux(135) =< V1 1121.73/291.57 aux(136) =< V1+V 1121.73/291.57 aux(137) =< V 1121.73/291.57 s(170) =< aux(137) 1121.73/291.57 s(34) =< aux(134) 1121.73/291.57 aux(61) =< aux(136) 1121.73/291.57 it(24) =< aux(136) 1121.73/291.57 it(25) =< aux(136) 1121.73/291.57 aux(55) =< aux(136) 1121.73/291.57 aux(52) =< aux(137) 1121.73/291.57 aux(62) =< aux(136)-1 1121.73/291.57 aux(61) =< aux(137)+aux(137)+aux(135) 1121.73/291.57 it(24) =< aux(137)+aux(137)+aux(135) 1121.73/291.57 s(133) =< it(25)*aux(136) 1121.73/291.57 s(132) =< aux(137)+aux(137)+aux(135) 1121.73/291.57 s(155) =< aux(137)+aux(137)+aux(135) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(137) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,[37,39],41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(173)+5 1121.73/291.57 Such that:aux(138) =< 1 1121.73/291.57 aux(140) =< V1 1121.73/291.57 aux(141) =< V1+V 1121.73/291.57 aux(142) =< V 1121.73/291.57 it(25) =< aux(141) 1121.73/291.57 s(173) =< aux(138) 1121.73/291.57 aux(6) =< aux(141) 1121.73/291.57 it(37) =< aux(141) 1121.73/291.57 aux(6) =< aux(138)+aux(141) 1121.73/291.57 it(37) =< aux(138)+aux(141) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(141) 1121.73/291.57 it(24) =< aux(141) 1121.73/291.57 aux(55) =< aux(141) 1121.73/291.57 aux(52) =< aux(142) 1121.73/291.57 aux(62) =< aux(141)-1 1121.73/291.57 aux(61) =< aux(142)+aux(142)+aux(140) 1121.73/291.57 it(24) =< aux(142)+aux(142)+aux(140) 1121.73/291.57 s(133) =< it(25)*aux(141) 1121.73/291.57 s(132) =< aux(142)+aux(142)+aux(140) 1121.73/291.57 s(155) =< aux(142)+aux(142)+aux(140) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(142) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,[37,39],40,41]: 18*it(24)+30*it(25)+5*it(37)+1*s(8)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(143) =< 1 1121.73/291.57 aux(145) =< V1 1121.73/291.57 aux(146) =< V1+V 1121.73/291.57 aux(147) =< V 1121.73/291.57 it(25) =< aux(146) 1121.73/291.57 s(10) =< aux(143) 1121.73/291.57 aux(6) =< aux(146) 1121.73/291.57 it(37) =< aux(146) 1121.73/291.57 aux(6) =< aux(143)+aux(146) 1121.73/291.57 it(37) =< aux(143)+aux(146) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(146) 1121.73/291.57 it(24) =< aux(146) 1121.73/291.57 aux(55) =< aux(146) 1121.73/291.57 aux(52) =< aux(147) 1121.73/291.57 aux(62) =< aux(146)-1 1121.73/291.57 aux(61) =< aux(147)+aux(147)+aux(145) 1121.73/291.57 it(24) =< aux(147)+aux(147)+aux(145) 1121.73/291.57 s(133) =< it(25)*aux(146) 1121.73/291.57 s(132) =< aux(147)+aux(147)+aux(145) 1121.73/291.57 s(155) =< aux(147)+aux(147)+aux(145) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(147) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,[37,39],38,41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(148) =< 1 1121.73/291.57 aux(150) =< V1 1121.73/291.57 aux(151) =< V1+V 1121.73/291.57 aux(152) =< V 1121.73/291.57 it(25) =< aux(151) 1121.73/291.57 s(34) =< aux(148) 1121.73/291.57 aux(6) =< aux(151) 1121.73/291.57 it(37) =< aux(151) 1121.73/291.57 aux(6) =< aux(148)+aux(151) 1121.73/291.57 it(37) =< aux(148)+aux(151) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(151) 1121.73/291.57 it(24) =< aux(151) 1121.73/291.57 aux(55) =< aux(151) 1121.73/291.57 aux(52) =< aux(152) 1121.73/291.57 aux(62) =< aux(151)-1 1121.73/291.57 aux(61) =< aux(152)+aux(152)+aux(150) 1121.73/291.57 it(24) =< aux(152)+aux(152)+aux(150) 1121.73/291.57 s(133) =< it(25)*aux(151) 1121.73/291.57 s(132) =< aux(152)+aux(152)+aux(150) 1121.73/291.57 s(155) =< aux(152)+aux(152)+aux(150) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(152) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(172)+1*s(173)+5 1121.73/291.57 Such that:s(173) =< 1 1121.73/291.57 aux(153) =< V1 1121.73/291.57 aux(154) =< V1+V 1121.73/291.57 aux(155) =< V 1121.73/291.57 s(172) =< aux(153) 1121.73/291.57 aux(61) =< aux(154) 1121.73/291.57 it(24) =< aux(154) 1121.73/291.57 it(25) =< aux(154) 1121.73/291.57 aux(55) =< aux(154) 1121.73/291.57 aux(52) =< aux(155) 1121.73/291.57 aux(62) =< aux(154)-1 1121.73/291.57 aux(61) =< aux(155)+aux(155)+aux(153) 1121.73/291.57 it(24) =< aux(155)+aux(155)+aux(153) 1121.73/291.57 s(133) =< it(25)*aux(154) 1121.73/291.57 s(132) =< aux(155)+aux(155)+aux(153) 1121.73/291.57 s(155) =< aux(155)+aux(155)+aux(153) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(155) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,40,41]: 18*it(24)+24*it(25)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(156) =< 1 1121.73/291.57 aux(157) =< V1 1121.73/291.57 aux(158) =< V1+V 1121.73/291.57 aux(159) =< V 1121.73/291.57 it(25) =< aux(158) 1121.73/291.57 s(10) =< aux(156) 1121.73/291.57 aux(61) =< aux(158) 1121.73/291.57 it(24) =< aux(158) 1121.73/291.57 aux(55) =< aux(158) 1121.73/291.57 aux(52) =< aux(159) 1121.73/291.57 aux(62) =< aux(158)-1 1121.73/291.57 aux(61) =< aux(159)+aux(159)+aux(157) 1121.73/291.57 it(24) =< aux(159)+aux(159)+aux(157) 1121.73/291.57 s(133) =< it(25)*aux(158) 1121.73/291.57 s(132) =< aux(159)+aux(159)+aux(157) 1121.73/291.57 s(155) =< aux(159)+aux(159)+aux(157) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(159) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],33,38,41]: 18*it(24)+14*it(25)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(172)+9 1121.73/291.57 Such that:aux(160) =< 1 1121.73/291.57 aux(161) =< V1 1121.73/291.57 aux(162) =< V1+V 1121.73/291.57 aux(163) =< V 1121.73/291.57 s(172) =< aux(161) 1121.73/291.57 s(34) =< aux(160) 1121.73/291.57 aux(61) =< aux(162) 1121.73/291.57 it(24) =< aux(162) 1121.73/291.57 it(25) =< aux(162) 1121.73/291.57 aux(55) =< aux(162) 1121.73/291.57 aux(52) =< aux(163) 1121.73/291.57 aux(62) =< aux(162)-1 1121.73/291.57 aux(61) =< aux(163)+aux(163)+aux(161) 1121.73/291.57 it(24) =< aux(163)+aux(163)+aux(161) 1121.73/291.57 s(133) =< it(25)*aux(162) 1121.73/291.57 s(132) =< aux(163)+aux(163)+aux(161) 1121.73/291.57 s(155) =< aux(163)+aux(163)+aux(161) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(163) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,[37,39],41]: 18*it(24)+24*it(25)+5*it(37)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4 1121.73/291.57 Such that:aux(15) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(166) =< V1 1121.73/291.57 aux(167) =< V1+V 1121.73/291.57 it(25) =< aux(167) 1121.73/291.57 aux(6) =< aux(167) 1121.73/291.57 it(37) =< aux(167) 1121.73/291.57 aux(6) =< aux(15)+aux(167) 1121.73/291.57 it(37) =< aux(15)+aux(167) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(167) 1121.73/291.57 it(24) =< aux(167) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(167) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(167)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(166) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(166) 1121.73/291.57 s(133) =< it(25)*aux(167) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(166) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(166) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3,V+V1>=7] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,[37,39],40,41]: 18*it(24)+33*it(25)+5*it(37)+1*s(8)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(168) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(170) =< V1 1121.73/291.57 aux(171) =< V1+V 1121.73/291.57 it(25) =< aux(171) 1121.73/291.57 s(10) =< aux(168) 1121.73/291.57 aux(6) =< aux(171) 1121.73/291.57 it(37) =< aux(171) 1121.73/291.57 aux(6) =< aux(168)+aux(171) 1121.73/291.57 it(37) =< aux(168)+aux(171) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(171) 1121.73/291.57 it(24) =< aux(171) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(171) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(171)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(170) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(170) 1121.73/291.57 s(133) =< it(25)*aux(171) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(170) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(170) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=4,V>=4,V+V1>=9] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,[37,39],38,41]: 18*it(24)+24*it(25)+5*it(37)+1*s(8)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(172) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(174) =< V1 1121.73/291.57 aux(175) =< V1+V 1121.73/291.57 s(34) =< aux(172) 1121.73/291.57 it(25) =< aux(175) 1121.73/291.57 aux(6) =< aux(175) 1121.73/291.57 it(37) =< aux(175) 1121.73/291.57 aux(6) =< aux(172)+aux(175) 1121.73/291.57 it(37) =< aux(172)+aux(175) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(175) 1121.73/291.57 it(24) =< aux(175) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(175) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(175)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(174) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(174) 1121.73/291.57 s(133) =< it(25)*aux(175) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(174) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(174) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=4,V>=4,V+V1>=9] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(174)+4 1121.73/291.57 Such that:aux(177) =< V1 1121.73/291.57 aux(178) =< V1+V 1121.73/291.57 aux(179) =< V 1121.73/291.57 s(174) =< aux(179) 1121.73/291.57 aux(61) =< aux(178) 1121.73/291.57 it(24) =< aux(178) 1121.73/291.57 it(25) =< aux(178) 1121.73/291.57 aux(55) =< aux(178) 1121.73/291.57 aux(52) =< aux(179) 1121.73/291.57 aux(62) =< aux(178)-1 1121.73/291.57 aux(61) =< aux(179)+aux(179)+aux(177) 1121.73/291.57 it(24) =< aux(179)+aux(179)+aux(177) 1121.73/291.57 s(133) =< it(25)*aux(178) 1121.73/291.57 s(132) =< aux(179)+aux(179)+aux(177) 1121.73/291.57 s(155) =< aux(179)+aux(179)+aux(177) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(179) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,40,41]: 18*it(24)+14*it(25)+15*s(10)+13*s(22)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(180) =< 1 1121.73/291.57 aux(182) =< V1 1121.73/291.57 aux(183) =< V1+V 1121.73/291.57 aux(184) =< V 1121.73/291.57 s(22) =< aux(184) 1121.73/291.57 s(10) =< aux(180) 1121.73/291.57 aux(61) =< aux(183) 1121.73/291.57 it(24) =< aux(183) 1121.73/291.57 it(25) =< aux(183) 1121.73/291.57 aux(55) =< aux(183) 1121.73/291.57 aux(52) =< aux(184) 1121.73/291.57 aux(62) =< aux(183)-1 1121.73/291.57 aux(61) =< aux(184)+aux(184)+aux(182) 1121.73/291.57 it(24) =< aux(184)+aux(184)+aux(182) 1121.73/291.57 s(133) =< it(25)*aux(183) 1121.73/291.57 s(132) =< aux(184)+aux(184)+aux(182) 1121.73/291.57 s(155) =< aux(184)+aux(184)+aux(182) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(184) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3,V+V1>=7] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],32,38,41]: 18*it(24)+14*it(25)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(174)+8 1121.73/291.57 Such that:s(34) =< 1 1121.73/291.57 aux(186) =< V1 1121.73/291.57 aux(187) =< V1+V 1121.73/291.57 aux(188) =< V 1121.73/291.57 s(174) =< aux(188) 1121.73/291.57 aux(61) =< aux(187) 1121.73/291.57 it(24) =< aux(187) 1121.73/291.57 it(25) =< aux(187) 1121.73/291.57 aux(55) =< aux(187) 1121.73/291.57 aux(52) =< aux(188) 1121.73/291.57 aux(62) =< aux(187)-1 1121.73/291.57 aux(61) =< aux(188)+aux(188)+aux(186) 1121.73/291.57 it(24) =< aux(188)+aux(188)+aux(186) 1121.73/291.57 s(133) =< it(25)*aux(187) 1121.73/291.57 s(132) =< aux(188)+aux(188)+aux(186) 1121.73/291.57 s(155) =< aux(188)+aux(188)+aux(186) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(188) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3,V+V1>=7] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,[37,39],41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(179)+4 1121.73/291.57 Such that:aux(189) =< 1 1121.73/291.57 aux(191) =< V1 1121.73/291.57 aux(192) =< V1+V 1121.73/291.57 aux(193) =< V 1121.73/291.57 s(179) =< aux(189) 1121.73/291.57 it(25) =< aux(192) 1121.73/291.57 aux(6) =< aux(192) 1121.73/291.57 it(37) =< aux(192) 1121.73/291.57 aux(6) =< aux(189)+aux(192) 1121.73/291.57 it(37) =< aux(189)+aux(192) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(192) 1121.73/291.57 it(24) =< aux(192) 1121.73/291.57 aux(55) =< aux(192) 1121.73/291.57 aux(52) =< aux(193) 1121.73/291.57 aux(62) =< aux(192)-1 1121.73/291.57 aux(61) =< aux(193)+aux(193)+aux(191) 1121.73/291.57 it(24) =< aux(193)+aux(193)+aux(191) 1121.73/291.57 s(133) =< it(25)*aux(192) 1121.73/291.57 s(132) =< aux(193)+aux(193)+aux(191) 1121.73/291.57 s(155) =< aux(193)+aux(193)+aux(191) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(193) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,[37,39],40,41]: 18*it(24)+30*it(25)+5*it(37)+1*s(8)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(194) =< 1 1121.73/291.57 aux(196) =< V1 1121.73/291.57 aux(197) =< V1+V 1121.73/291.57 aux(198) =< V 1121.73/291.57 s(10) =< aux(194) 1121.73/291.57 it(25) =< aux(197) 1121.73/291.57 aux(6) =< aux(197) 1121.73/291.57 it(37) =< aux(197) 1121.73/291.57 aux(6) =< aux(194)+aux(197) 1121.73/291.57 it(37) =< aux(194)+aux(197) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(197) 1121.73/291.57 it(24) =< aux(197) 1121.73/291.57 aux(55) =< aux(197) 1121.73/291.57 aux(52) =< aux(198) 1121.73/291.57 aux(62) =< aux(197)-1 1121.73/291.57 aux(61) =< aux(198)+aux(198)+aux(196) 1121.73/291.57 it(24) =< aux(198)+aux(198)+aux(196) 1121.73/291.57 s(133) =< it(25)*aux(197) 1121.73/291.57 s(132) =< aux(198)+aux(198)+aux(196) 1121.73/291.57 s(155) =< aux(198)+aux(198)+aux(196) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(198) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3,V+V1>=7] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,[37,39],38,41]: 18*it(24)+21*it(25)+5*it(37)+1*s(8)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(199) =< 1 1121.73/291.57 aux(201) =< V1 1121.73/291.57 aux(202) =< V1+V 1121.73/291.57 aux(203) =< V 1121.73/291.57 s(34) =< aux(199) 1121.73/291.57 it(25) =< aux(202) 1121.73/291.57 aux(6) =< aux(202) 1121.73/291.57 it(37) =< aux(202) 1121.73/291.57 aux(6) =< aux(199)+aux(202) 1121.73/291.57 it(37) =< aux(199)+aux(202) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(202) 1121.73/291.57 it(24) =< aux(202) 1121.73/291.57 aux(55) =< aux(202) 1121.73/291.57 aux(52) =< aux(203) 1121.73/291.57 aux(62) =< aux(202)-1 1121.73/291.57 aux(61) =< aux(203)+aux(203)+aux(201) 1121.73/291.57 it(24) =< aux(203)+aux(203)+aux(201) 1121.73/291.57 s(133) =< it(25)*aux(202) 1121.73/291.57 s(132) =< aux(203)+aux(203)+aux(201) 1121.73/291.57 s(155) =< aux(203)+aux(203)+aux(201) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(203) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3,V+V1>=7] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(178)+1*s(179)+4 1121.73/291.57 Such that:s(179) =< 1 1121.73/291.57 aux(204) =< V1 1121.73/291.57 aux(205) =< V1+V 1121.73/291.57 aux(206) =< V 1121.73/291.57 s(178) =< aux(206) 1121.73/291.57 aux(61) =< aux(205) 1121.73/291.57 it(24) =< aux(205) 1121.73/291.57 it(25) =< aux(205) 1121.73/291.57 aux(55) =< aux(205) 1121.73/291.57 aux(52) =< aux(206) 1121.73/291.57 aux(62) =< aux(205)-1 1121.73/291.57 aux(61) =< aux(206)+aux(206)+aux(204) 1121.73/291.57 it(24) =< aux(206)+aux(206)+aux(204) 1121.73/291.57 s(133) =< it(25)*aux(205) 1121.73/291.57 s(132) =< aux(206)+aux(206)+aux(204) 1121.73/291.57 s(155) =< aux(206)+aux(206)+aux(204) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(206) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,40,41]: 18*it(24)+24*it(25)+16*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+8 1121.73/291.57 Such that:aux(207) =< 1 1121.73/291.57 aux(209) =< V1 1121.73/291.57 aux(210) =< V1+V 1121.73/291.57 aux(211) =< V 1121.73/291.57 s(10) =< aux(207) 1121.73/291.57 it(25) =< aux(210) 1121.73/291.57 aux(61) =< aux(210) 1121.73/291.57 it(24) =< aux(210) 1121.73/291.57 aux(55) =< aux(210) 1121.73/291.57 aux(52) =< aux(211) 1121.73/291.57 aux(62) =< aux(210)-1 1121.73/291.57 aux(61) =< aux(211)+aux(211)+aux(209) 1121.73/291.57 it(24) =< aux(211)+aux(211)+aux(209) 1121.73/291.57 s(133) =< it(25)*aux(210) 1121.73/291.57 s(132) =< aux(211)+aux(211)+aux(209) 1121.73/291.57 s(155) =< aux(211)+aux(211)+aux(209) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(211) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],31,38,41]: 18*it(24)+14*it(25)+2*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+1*s(178)+8 1121.73/291.57 Such that:aux(212) =< 1 1121.73/291.57 aux(213) =< V1 1121.73/291.57 aux(214) =< V1+V 1121.73/291.57 aux(215) =< V 1121.73/291.57 s(178) =< aux(215) 1121.73/291.57 s(34) =< aux(212) 1121.73/291.57 aux(61) =< aux(214) 1121.73/291.57 it(24) =< aux(214) 1121.73/291.57 it(25) =< aux(214) 1121.73/291.57 aux(55) =< aux(214) 1121.73/291.57 aux(52) =< aux(215) 1121.73/291.57 aux(62) =< aux(214)-1 1121.73/291.57 aux(61) =< aux(215)+aux(215)+aux(213) 1121.73/291.57 it(24) =< aux(215)+aux(215)+aux(213) 1121.73/291.57 s(133) =< it(25)*aux(214) 1121.73/291.57 s(132) =< aux(215)+aux(215)+aux(213) 1121.73/291.57 s(155) =< aux(215)+aux(215)+aux(213) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(215) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,[37,39],41]: 18*it(24)+10*it(25)+5*it(37)+10*it(39)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+5 1121.73/291.57 Such that:aux(15) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(218) =< V1 1121.73/291.57 aux(219) =< V1+V 1121.73/291.57 aux(220) =< V1+V+1 1121.73/291.57 it(39) =< aux(220) 1121.73/291.57 aux(6) =< aux(220) 1121.73/291.57 it(37) =< aux(220) 1121.73/291.57 aux(6) =< aux(15)+aux(219) 1121.73/291.57 it(37) =< aux(15)+aux(219) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(219) 1121.73/291.57 aux(64) =< aux(219) 1121.73/291.57 it(24) =< aux(219) 1121.73/291.57 it(25) =< aux(219) 1121.73/291.57 aux(61) =< aux(220) 1121.73/291.57 aux(64) =< aux(220) 1121.73/291.57 it(24) =< aux(220) 1121.73/291.57 it(25) =< aux(220) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(219) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(219)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(218) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(218) 1121.73/291.57 s(134) =< aux(64) 1121.73/291.57 s(133) =< it(25)*aux(219) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(218) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(218) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,[37,39],40,41]: 18*it(24)+10*it(25)+5*it(37)+19*it(39)+1*s(8)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(221) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(223) =< V1 1121.73/291.57 aux(224) =< V1+V 1121.73/291.57 aux(225) =< V1+V+1 1121.73/291.57 it(39) =< aux(225) 1121.73/291.57 s(10) =< aux(221) 1121.73/291.57 aux(6) =< aux(225) 1121.73/291.57 it(37) =< aux(225) 1121.73/291.57 aux(6) =< aux(221)+aux(224) 1121.73/291.57 it(37) =< aux(221)+aux(224) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(224) 1121.73/291.57 aux(64) =< aux(224) 1121.73/291.57 it(24) =< aux(224) 1121.73/291.57 it(25) =< aux(224) 1121.73/291.57 aux(61) =< aux(225) 1121.73/291.57 aux(64) =< aux(225) 1121.73/291.57 it(24) =< aux(225) 1121.73/291.57 it(25) =< aux(225) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(224) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(224)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(223) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(223) 1121.73/291.57 s(134) =< aux(64) 1121.73/291.57 s(133) =< it(25)*aux(224) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(223) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(223) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=4,V>=4] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,[37,39],38,41]: 18*it(24)+10*it(25)+5*it(37)+10*it(39)+1*s(8)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(226) =< 1 1121.73/291.57 aux(88) =< V 1121.73/291.57 aux(89) =< V+1 1121.73/291.57 aux(228) =< V1 1121.73/291.57 aux(229) =< V1+V 1121.73/291.57 aux(230) =< V1+V+1 1121.73/291.57 it(39) =< aux(230) 1121.73/291.57 s(34) =< aux(226) 1121.73/291.57 aux(6) =< aux(230) 1121.73/291.57 it(37) =< aux(230) 1121.73/291.57 aux(6) =< aux(226)+aux(229) 1121.73/291.57 it(37) =< aux(226)+aux(229) 1121.73/291.57 s(8) =< aux(6) 1121.73/291.57 aux(61) =< aux(229) 1121.73/291.57 aux(64) =< aux(229) 1121.73/291.57 it(24) =< aux(229) 1121.73/291.57 it(25) =< aux(229) 1121.73/291.57 aux(61) =< aux(230) 1121.73/291.57 aux(64) =< aux(230) 1121.73/291.57 it(24) =< aux(230) 1121.73/291.57 it(25) =< aux(230) 1121.73/291.57 aux(39) =< aux(88) 1121.73/291.57 aux(39) =< aux(89) 1121.73/291.57 aux(55) =< aux(229) 1121.73/291.57 aux(52) =< aux(88) 1121.73/291.57 aux(62) =< aux(229)-1 1121.73/291.57 aux(61) =< aux(39)+aux(39)+aux(228) 1121.73/291.57 it(24) =< aux(39)+aux(39)+aux(228) 1121.73/291.57 s(134) =< aux(64) 1121.73/291.57 s(133) =< it(25)*aux(229) 1121.73/291.57 s(132) =< aux(39)+aux(39)+aux(228) 1121.73/291.57 s(155) =< aux(39)+aux(39)+aux(228) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(88) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=4,V>=4] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(180)+5 1121.73/291.57 Such that:aux(232) =< V1 1121.73/291.57 aux(233) =< V1+V 1121.73/291.57 aux(234) =< V 1121.73/291.57 s(180) =< aux(232) 1121.73/291.57 aux(61) =< aux(233) 1121.73/291.57 it(24) =< aux(233) 1121.73/291.57 it(25) =< aux(233) 1121.73/291.57 aux(55) =< aux(233) 1121.73/291.57 aux(52) =< aux(234) 1121.73/291.57 aux(62) =< aux(233)-1 1121.73/291.57 aux(61) =< aux(234)+aux(234)+aux(232) 1121.73/291.57 it(24) =< aux(234)+aux(234)+aux(232) 1121.73/291.57 s(133) =< it(25)*aux(233) 1121.73/291.57 s(132) =< aux(234)+aux(234)+aux(232) 1121.73/291.57 s(155) =< aux(234)+aux(234)+aux(232) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(234) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,40,41]: 18*it(24)+27*it(25)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.57 Such that:aux(235) =< 1 1121.73/291.57 aux(237) =< V1 1121.73/291.57 aux(238) =< V1+V 1121.73/291.57 aux(239) =< V 1121.73/291.57 it(25) =< aux(238) 1121.73/291.57 s(10) =< aux(235) 1121.73/291.57 aux(61) =< aux(238) 1121.73/291.57 it(24) =< aux(238) 1121.73/291.57 aux(55) =< aux(238) 1121.73/291.57 aux(52) =< aux(239) 1121.73/291.57 aux(62) =< aux(238)-1 1121.73/291.57 aux(61) =< aux(239)+aux(239)+aux(237) 1121.73/291.57 it(24) =< aux(239)+aux(239)+aux(237) 1121.73/291.57 s(133) =< it(25)*aux(238) 1121.73/291.57 s(132) =< aux(239)+aux(239)+aux(237) 1121.73/291.57 s(155) =< aux(239)+aux(239)+aux(237) 1121.73/291.57 s(136) =< it(25)*aux(55) 1121.73/291.57 s(142) =< it(25)*aux(55) 1121.73/291.57 s(141) =< it(24)*aux(55) 1121.73/291.57 s(131) =< it(24)*aux(52) 1121.73/291.57 s(155) =< it(24)*aux(55) 1121.73/291.57 s(128) =< it(24)*aux(52) 1121.73/291.57 s(139) =< aux(61) 1121.73/291.57 s(138) =< it(24)*aux(62) 1121.73/291.57 s(132) =< it(24)*aux(239) 1121.73/291.57 s(140) =< s(141) 1121.73/291.57 s(130) =< s(131) 1121.73/291.57 s(154) =< s(155) 1121.73/291.57 s(135) =< s(136) 1121.73/291.57 s(129) =< s(132) 1121.73/291.57 1121.73/291.57 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.57 1121.73/291.57 * Chain [[24,25,26,27,28,36],30,38,41]: 18*it(24)+14*it(25)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(180)+9 1121.73/291.57 Such that:s(34) =< 1 1121.73/291.57 aux(241) =< V1 1121.73/291.58 aux(242) =< V1+V 1121.73/291.58 aux(243) =< V 1121.73/291.58 s(180) =< aux(241) 1121.73/291.58 aux(61) =< aux(242) 1121.73/291.58 it(24) =< aux(242) 1121.73/291.58 it(25) =< aux(242) 1121.73/291.58 aux(55) =< aux(242) 1121.73/291.58 aux(52) =< aux(243) 1121.73/291.58 aux(62) =< aux(242)-1 1121.73/291.58 aux(61) =< aux(243)+aux(243)+aux(241) 1121.73/291.58 it(24) =< aux(243)+aux(243)+aux(241) 1121.73/291.58 s(133) =< it(25)*aux(242) 1121.73/291.58 s(132) =< aux(243)+aux(243)+aux(241) 1121.73/291.58 s(155) =< aux(243)+aux(243)+aux(241) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(243) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,[37,39],41]: 18*it(24)+10*it(25)+5*it(37)+10*it(39)+1*s(8)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+5 1121.73/291.58 Such that:aux(15) =< 1 1121.73/291.58 aux(246) =< V1 1121.73/291.58 aux(247) =< V1+V 1121.73/291.58 aux(248) =< V1+V+1 1121.73/291.58 aux(249) =< V 1121.73/291.58 it(39) =< aux(248) 1121.73/291.58 aux(6) =< aux(248) 1121.73/291.58 it(37) =< aux(248) 1121.73/291.58 aux(6) =< aux(15)+aux(247) 1121.73/291.58 it(37) =< aux(15)+aux(247) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 aux(61) =< aux(247) 1121.73/291.58 aux(64) =< aux(247) 1121.73/291.58 it(24) =< aux(247) 1121.73/291.58 it(25) =< aux(247) 1121.73/291.58 aux(61) =< aux(248) 1121.73/291.58 aux(64) =< aux(248) 1121.73/291.58 it(24) =< aux(248) 1121.73/291.58 it(25) =< aux(248) 1121.73/291.58 aux(55) =< aux(247) 1121.73/291.58 aux(52) =< aux(249) 1121.73/291.58 aux(62) =< aux(247)-1 1121.73/291.58 aux(61) =< aux(249)+aux(249)+aux(246) 1121.73/291.58 it(24) =< aux(249)+aux(249)+aux(246) 1121.73/291.58 s(134) =< aux(64) 1121.73/291.58 s(133) =< it(25)*aux(247) 1121.73/291.58 s(132) =< aux(249)+aux(249)+aux(246) 1121.73/291.58 s(155) =< aux(249)+aux(249)+aux(246) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(249) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=6] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,[37,39],40,41]: 18*it(24)+10*it(25)+5*it(37)+19*it(39)+1*s(8)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.58 Such that:aux(250) =< 1 1121.73/291.58 aux(252) =< V1 1121.73/291.58 aux(253) =< V1+V 1121.73/291.58 aux(254) =< V1+V+1 1121.73/291.58 aux(255) =< V 1121.73/291.58 it(39) =< aux(254) 1121.73/291.58 s(10) =< aux(250) 1121.73/291.58 aux(6) =< aux(254) 1121.73/291.58 it(37) =< aux(254) 1121.73/291.58 aux(6) =< aux(250)+aux(253) 1121.73/291.58 it(37) =< aux(250)+aux(253) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 aux(61) =< aux(253) 1121.73/291.58 aux(64) =< aux(253) 1121.73/291.58 it(24) =< aux(253) 1121.73/291.58 it(25) =< aux(253) 1121.73/291.58 aux(61) =< aux(254) 1121.73/291.58 aux(64) =< aux(254) 1121.73/291.58 it(24) =< aux(254) 1121.73/291.58 it(25) =< aux(254) 1121.73/291.58 aux(55) =< aux(253) 1121.73/291.58 aux(52) =< aux(255) 1121.73/291.58 aux(62) =< aux(253)-1 1121.73/291.58 aux(61) =< aux(255)+aux(255)+aux(252) 1121.73/291.58 it(24) =< aux(255)+aux(255)+aux(252) 1121.73/291.58 s(134) =< aux(64) 1121.73/291.58 s(133) =< it(25)*aux(253) 1121.73/291.58 s(132) =< aux(255)+aux(255)+aux(252) 1121.73/291.58 s(155) =< aux(255)+aux(255)+aux(252) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(255) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=7] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,[37,39],38,41]: 18*it(24)+10*it(25)+5*it(37)+10*it(39)+1*s(8)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(134)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.58 Such that:aux(256) =< 1 1121.73/291.58 aux(258) =< V1 1121.73/291.58 aux(259) =< V1+V 1121.73/291.58 aux(260) =< V1+V+1 1121.73/291.58 aux(261) =< V 1121.73/291.58 it(39) =< aux(260) 1121.73/291.58 s(34) =< aux(256) 1121.73/291.58 aux(6) =< aux(260) 1121.73/291.58 it(37) =< aux(260) 1121.73/291.58 aux(6) =< aux(256)+aux(259) 1121.73/291.58 it(37) =< aux(256)+aux(259) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 aux(61) =< aux(259) 1121.73/291.58 aux(64) =< aux(259) 1121.73/291.58 it(24) =< aux(259) 1121.73/291.58 it(25) =< aux(259) 1121.73/291.58 aux(61) =< aux(260) 1121.73/291.58 aux(64) =< aux(260) 1121.73/291.58 it(24) =< aux(260) 1121.73/291.58 it(25) =< aux(260) 1121.73/291.58 aux(55) =< aux(259) 1121.73/291.58 aux(52) =< aux(261) 1121.73/291.58 aux(62) =< aux(259)-1 1121.73/291.58 aux(61) =< aux(261)+aux(261)+aux(258) 1121.73/291.58 it(24) =< aux(261)+aux(261)+aux(258) 1121.73/291.58 s(134) =< aux(64) 1121.73/291.58 s(133) =< it(25)*aux(259) 1121.73/291.58 s(132) =< aux(261)+aux(261)+aux(258) 1121.73/291.58 s(155) =< aux(261)+aux(261)+aux(258) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(261) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=7] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,41]: 18*it(24)+14*it(25)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(184)+5 1121.73/291.58 Such that:aux(263) =< V1 1121.73/291.58 aux(264) =< V1+V 1121.73/291.58 aux(265) =< V 1121.73/291.58 s(184) =< aux(265) 1121.73/291.58 aux(61) =< aux(264) 1121.73/291.58 it(24) =< aux(264) 1121.73/291.58 it(25) =< aux(264) 1121.73/291.58 aux(55) =< aux(264) 1121.73/291.58 aux(52) =< aux(265) 1121.73/291.58 aux(62) =< aux(264)-1 1121.73/291.58 aux(61) =< aux(265)+aux(265)+aux(263) 1121.73/291.58 it(24) =< aux(265)+aux(265)+aux(263) 1121.73/291.58 s(133) =< it(25)*aux(264) 1121.73/291.58 s(132) =< aux(265)+aux(265)+aux(263) 1121.73/291.58 s(155) =< aux(265)+aux(265)+aux(263) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(265) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=5] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,40,41]: 18*it(24)+27*it(25)+15*s(10)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+9 1121.73/291.58 Such that:aux(266) =< 1 1121.73/291.58 aux(268) =< V1 1121.73/291.58 aux(269) =< V1+V 1121.73/291.58 aux(270) =< V 1121.73/291.58 it(25) =< aux(269) 1121.73/291.58 s(10) =< aux(266) 1121.73/291.58 aux(61) =< aux(269) 1121.73/291.58 it(24) =< aux(269) 1121.73/291.58 aux(55) =< aux(269) 1121.73/291.58 aux(52) =< aux(270) 1121.73/291.58 aux(62) =< aux(269)-1 1121.73/291.58 aux(61) =< aux(270)+aux(270)+aux(268) 1121.73/291.58 it(24) =< aux(270)+aux(270)+aux(268) 1121.73/291.58 s(133) =< it(25)*aux(269) 1121.73/291.58 s(132) =< aux(270)+aux(270)+aux(268) 1121.73/291.58 s(155) =< aux(270)+aux(270)+aux(268) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(270) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=6] 1121.73/291.58 1121.73/291.58 * Chain [[24,25,26,27,28,36],29,38,41]: 18*it(24)+14*it(25)+1*s(34)+2*s(128)+3*s(129)+8*s(130)+1*s(133)+4*s(135)+1*s(138)+6*s(139)+28*s(140)+1*s(142)+3*s(154)+4*s(184)+9 1121.73/291.58 Such that:s(34) =< 1 1121.73/291.58 aux(272) =< V1 1121.73/291.58 aux(273) =< V1+V 1121.73/291.58 aux(274) =< V 1121.73/291.58 s(184) =< aux(274) 1121.73/291.58 aux(61) =< aux(273) 1121.73/291.58 it(24) =< aux(273) 1121.73/291.58 it(25) =< aux(273) 1121.73/291.58 aux(55) =< aux(273) 1121.73/291.58 aux(52) =< aux(274) 1121.73/291.58 aux(62) =< aux(273)-1 1121.73/291.58 aux(61) =< aux(274)+aux(274)+aux(272) 1121.73/291.58 it(24) =< aux(274)+aux(274)+aux(272) 1121.73/291.58 s(133) =< it(25)*aux(273) 1121.73/291.58 s(132) =< aux(274)+aux(274)+aux(272) 1121.73/291.58 s(155) =< aux(274)+aux(274)+aux(272) 1121.73/291.58 s(136) =< it(25)*aux(55) 1121.73/291.58 s(142) =< it(25)*aux(55) 1121.73/291.58 s(141) =< it(24)*aux(55) 1121.73/291.58 s(131) =< it(24)*aux(52) 1121.73/291.58 s(155) =< it(24)*aux(55) 1121.73/291.58 s(128) =< it(24)*aux(52) 1121.73/291.58 s(139) =< aux(61) 1121.73/291.58 s(138) =< it(24)*aux(62) 1121.73/291.58 s(132) =< it(24)*aux(274) 1121.73/291.58 s(140) =< s(141) 1121.73/291.58 s(130) =< s(131) 1121.73/291.58 s(154) =< s(155) 1121.73/291.58 s(135) =< s(136) 1121.73/291.58 s(129) =< s(132) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2,V+V1>=6] 1121.73/291.58 1121.73/291.58 * Chain [41]: 0 1121.73/291.58 with precondition: [Out=0,V1>=0,V>=0] 1121.73/291.58 1121.73/291.58 * Chain [40,41]: 6*s(10)+9*s(14)+9*s(22)+4 1121.73/291.58 Such that:aux(20) =< 1 1121.73/291.58 aux(21) =< V1 1121.73/291.58 aux(22) =< V 1121.73/291.58 s(10) =< aux(20) 1121.73/291.58 s(22) =< aux(21) 1121.73/291.58 s(14) =< aux(22) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=1,V>=1] 1121.73/291.58 1121.73/291.58 * Chain [38,41]: 1*s(34)+4 1121.73/291.58 Such that:s(34) =< 1 1121.73/291.58 1121.73/291.58 with precondition: [V=1,Out=0,V1>=1] 1121.73/291.58 1121.73/291.58 * Chain [35,41]: 9*s(160)+1*s(161)+4 1121.73/291.58 Such that:s(161) =< 1 1121.73/291.58 aux(108) =< V 1121.73/291.58 s(160) =< aux(108) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,[37,39],41]: 5*it(37)+6*it(39)+1*s(8)+1*s(170)+1*s(171)+5 1121.73/291.58 Such that:s(170) =< V 1121.73/291.58 aux(112) =< 1 1121.73/291.58 aux(113) =< V1 1121.73/291.58 s(171) =< aux(112) 1121.73/291.58 aux(6) =< aux(113) 1121.73/291.58 it(37) =< aux(113) 1121.73/291.58 it(39) =< aux(113) 1121.73/291.58 aux(6) =< aux(112)+aux(113) 1121.73/291.58 it(37) =< aux(112)+aux(113) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,[37,39],40,41]: 5*it(37)+15*it(39)+1*s(8)+16*s(10)+1*s(170)+9 1121.73/291.58 Such that:s(170) =< V 1121.73/291.58 aux(117) =< 1 1121.73/291.58 aux(118) =< V1 1121.73/291.58 s(10) =< aux(117) 1121.73/291.58 it(39) =< aux(118) 1121.73/291.58 aux(6) =< aux(118) 1121.73/291.58 it(37) =< aux(118) 1121.73/291.58 aux(6) =< aux(117)+aux(118) 1121.73/291.58 it(37) =< aux(117)+aux(118) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,[37,39],38,41]: 5*it(37)+6*it(39)+1*s(8)+2*s(34)+1*s(170)+9 1121.73/291.58 Such that:s(170) =< V 1121.73/291.58 aux(122) =< 1 1121.73/291.58 aux(123) =< V1 1121.73/291.58 s(34) =< aux(122) 1121.73/291.58 aux(6) =< aux(123) 1121.73/291.58 it(37) =< aux(123) 1121.73/291.58 it(39) =< aux(123) 1121.73/291.58 aux(6) =< aux(122)+aux(123) 1121.73/291.58 it(37) =< aux(122)+aux(123) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,41]: 1*s(170)+1*s(171)+5 1121.73/291.58 Such that:s(171) =< 1 1121.73/291.58 s(170) =< V 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,40,41]: 16*s(10)+9*s(22)+1*s(170)+9 1121.73/291.58 Such that:aux(21) =< V1 1121.73/291.58 s(170) =< V 1121.73/291.58 aux(130) =< 1 1121.73/291.58 s(10) =< aux(130) 1121.73/291.58 s(22) =< aux(21) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [34,38,41]: 2*s(34)+1*s(170)+9 1121.73/291.58 Such that:s(170) =< V 1121.73/291.58 aux(134) =< 1 1121.73/291.58 s(34) =< aux(134) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [33,[37,39],41]: 5*it(37)+6*it(39)+1*s(8)+1*s(172)+1*s(173)+5 1121.73/291.58 Such that:s(172) =< V1 1121.73/291.58 aux(138) =< 1 1121.73/291.58 aux(139) =< V 1121.73/291.58 s(173) =< aux(138) 1121.73/291.58 aux(6) =< aux(139) 1121.73/291.58 it(37) =< aux(139) 1121.73/291.58 it(39) =< aux(139) 1121.73/291.58 aux(6) =< aux(138)+aux(139) 1121.73/291.58 it(37) =< aux(138)+aux(139) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [33,[37,39],40,41]: 5*it(37)+15*it(39)+1*s(8)+16*s(10)+1*s(172)+9 1121.73/291.58 Such that:s(172) =< V1 1121.73/291.58 aux(143) =< 1 1121.73/291.58 aux(144) =< V 1121.73/291.58 s(10) =< aux(143) 1121.73/291.58 it(39) =< aux(144) 1121.73/291.58 aux(6) =< aux(144) 1121.73/291.58 it(37) =< aux(144) 1121.73/291.58 aux(6) =< aux(143)+aux(144) 1121.73/291.58 it(37) =< aux(143)+aux(144) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=3,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [33,[37,39],38,41]: 5*it(37)+6*it(39)+1*s(8)+2*s(34)+1*s(172)+9 1121.73/291.58 Such that:s(172) =< V1 1121.73/291.58 aux(148) =< 1 1121.73/291.58 aux(149) =< V 1121.73/291.58 s(34) =< aux(148) 1121.73/291.58 aux(6) =< aux(149) 1121.73/291.58 it(37) =< aux(149) 1121.73/291.58 it(39) =< aux(149) 1121.73/291.58 aux(6) =< aux(148)+aux(149) 1121.73/291.58 it(37) =< aux(148)+aux(149) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=3,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [33,41]: 1*s(172)+1*s(173)+5 1121.73/291.58 Such that:s(173) =< 1 1121.73/291.58 s(172) =< V1 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [33,40,41]: 16*s(10)+9*s(22)+1*s(172)+9 1121.73/291.58 Such that:s(172) =< V1 1121.73/291.58 aux(21) =< V 1121.73/291.58 aux(156) =< 1 1121.73/291.58 s(10) =< aux(156) 1121.73/291.58 s(22) =< aux(21) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [33,38,41]: 2*s(34)+1*s(172)+9 1121.73/291.58 Such that:s(172) =< V1 1121.73/291.58 aux(160) =< 1 1121.73/291.58 s(34) =< aux(160) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [32,[37,39],41]: 5*it(37)+6*it(39)+1*s(8)+4*s(174)+4 1121.73/291.58 Such that:aux(15) =< 1 1121.73/291.58 aux(14) =< V+1 1121.73/291.58 aux(165) =< V 1121.73/291.58 s(174) =< aux(165) 1121.73/291.58 aux(6) =< aux(14) 1121.73/291.58 it(37) =< aux(14) 1121.73/291.58 it(39) =< aux(14) 1121.73/291.58 aux(6) =< aux(15)+aux(165) 1121.73/291.58 it(37) =< aux(15)+aux(165) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [32,[37,39],40,41]: 5*it(37)+15*it(39)+1*s(8)+15*s(10)+4*s(174)+8 1121.73/291.58 Such that:aux(25) =< V+1 1121.73/291.58 aux(168) =< 1 1121.73/291.58 aux(169) =< V 1121.73/291.58 s(174) =< aux(169) 1121.73/291.58 s(10) =< aux(168) 1121.73/291.58 it(39) =< aux(25) 1121.73/291.58 aux(6) =< aux(25) 1121.73/291.58 it(37) =< aux(25) 1121.73/291.58 aux(6) =< aux(168)+aux(169) 1121.73/291.58 it(37) =< aux(168)+aux(169) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=4,V>=4] 1121.73/291.58 1121.73/291.58 * Chain [32,[37,39],38,41]: 5*it(37)+6*it(39)+1*s(8)+1*s(34)+4*s(174)+8 1121.73/291.58 Such that:aux(28) =< V+1 1121.73/291.58 aux(172) =< 1 1121.73/291.58 aux(173) =< V 1121.73/291.58 s(34) =< aux(172) 1121.73/291.58 s(174) =< aux(173) 1121.73/291.58 aux(6) =< aux(28) 1121.73/291.58 it(37) =< aux(28) 1121.73/291.58 it(39) =< aux(28) 1121.73/291.58 aux(6) =< aux(172)+aux(173) 1121.73/291.58 it(37) =< aux(172)+aux(173) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=4,V>=4] 1121.73/291.58 1121.73/291.58 * Chain [32,41]: 4*s(174)+4 1121.73/291.58 Such that:aux(176) =< V 1121.73/291.58 s(174) =< aux(176) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.58 1121.73/291.58 * Chain [32,40,41]: 15*s(10)+13*s(22)+8 1121.73/291.58 Such that:aux(180) =< 1 1121.73/291.58 aux(181) =< V 1121.73/291.58 s(22) =< aux(181) 1121.73/291.58 s(10) =< aux(180) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [32,38,41]: 1*s(34)+4*s(174)+8 1121.73/291.58 Such that:s(34) =< 1 1121.73/291.58 aux(185) =< V 1121.73/291.58 s(174) =< aux(185) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [31,[37,39],41]: 5*it(37)+7*it(39)+1*s(8)+1*s(179)+4 1121.73/291.58 Such that:aux(189) =< 1 1121.73/291.58 aux(190) =< V1 1121.73/291.58 s(179) =< aux(189) 1121.73/291.58 it(39) =< aux(190) 1121.73/291.58 aux(6) =< aux(190) 1121.73/291.58 it(37) =< aux(190) 1121.73/291.58 aux(6) =< aux(189)+aux(190) 1121.73/291.58 it(37) =< aux(189)+aux(190) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.58 1121.73/291.58 * Chain [31,[37,39],40,41]: 5*it(37)+16*it(39)+1*s(8)+16*s(10)+8 1121.73/291.58 Such that:aux(194) =< 1 1121.73/291.58 aux(195) =< V1 1121.73/291.58 s(10) =< aux(194) 1121.73/291.58 it(39) =< aux(195) 1121.73/291.58 aux(6) =< aux(195) 1121.73/291.58 it(37) =< aux(195) 1121.73/291.58 aux(6) =< aux(194)+aux(195) 1121.73/291.58 it(37) =< aux(194)+aux(195) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [31,[37,39],38,41]: 5*it(37)+7*it(39)+1*s(8)+2*s(34)+8 1121.73/291.58 Such that:aux(199) =< 1 1121.73/291.58 aux(200) =< V1 1121.73/291.58 s(34) =< aux(199) 1121.73/291.58 it(39) =< aux(200) 1121.73/291.58 aux(6) =< aux(200) 1121.73/291.58 it(37) =< aux(200) 1121.73/291.58 aux(6) =< aux(199)+aux(200) 1121.73/291.58 it(37) =< aux(199)+aux(200) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=3] 1121.73/291.58 1121.73/291.58 * Chain [31,41]: 1*s(178)+1*s(179)+4 1121.73/291.58 Such that:s(179) =< 1 1121.73/291.58 s(178) =< V 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.58 1121.73/291.58 * Chain [31,40,41]: 16*s(10)+10*s(22)+8 1121.73/291.58 Such that:aux(207) =< 1 1121.73/291.58 aux(208) =< V1 1121.73/291.58 s(10) =< aux(207) 1121.73/291.58 s(22) =< aux(208) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.58 1121.73/291.58 * Chain [31,38,41]: 2*s(34)+1*s(178)+8 1121.73/291.58 Such that:s(178) =< V 1121.73/291.58 aux(212) =< 1 1121.73/291.58 s(34) =< aux(212) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=2] 1121.73/291.58 1121.73/291.58 * Chain [30,[37,39],41]: 5*it(37)+9*it(39)+1*s(8)+1*s(180)+5 1121.73/291.58 Such that:aux(15) =< 1 1121.73/291.58 s(180) =< V1 1121.73/291.58 aux(13) =< V 1121.73/291.58 aux(217) =< V+1 1121.73/291.58 aux(6) =< aux(217) 1121.73/291.58 it(37) =< aux(217) 1121.73/291.58 it(39) =< aux(217) 1121.73/291.58 aux(6) =< aux(15)+aux(13) 1121.73/291.58 it(37) =< aux(15)+aux(13) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=3,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [30,[37,39],40,41]: 5*it(37)+18*it(39)+1*s(8)+15*s(10)+1*s(180)+9 1121.73/291.58 Such that:s(180) =< V1 1121.73/291.58 aux(24) =< V 1121.73/291.58 aux(221) =< 1 1121.73/291.58 aux(222) =< V+1 1121.73/291.58 s(10) =< aux(221) 1121.73/291.58 it(39) =< aux(222) 1121.73/291.58 aux(6) =< aux(222) 1121.73/291.58 it(37) =< aux(222) 1121.73/291.58 aux(6) =< aux(221)+aux(24) 1121.73/291.58 it(37) =< aux(221)+aux(24) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=4,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [30,[37,39],38,41]: 5*it(37)+9*it(39)+1*s(8)+1*s(34)+1*s(180)+9 1121.73/291.58 Such that:s(180) =< V1 1121.73/291.58 aux(27) =< V 1121.73/291.58 aux(226) =< 1 1121.73/291.58 aux(227) =< V+1 1121.73/291.58 s(34) =< aux(226) 1121.73/291.58 aux(6) =< aux(227) 1121.73/291.58 it(37) =< aux(227) 1121.73/291.58 it(39) =< aux(227) 1121.73/291.58 aux(6) =< aux(226)+aux(27) 1121.73/291.58 it(37) =< aux(226)+aux(27) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=4,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [30,41]: 4*s(180)+5 1121.73/291.58 Such that:aux(231) =< V1 1121.73/291.58 s(180) =< aux(231) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [30,40,41]: 15*s(10)+12*s(22)+1*s(180)+9 1121.73/291.58 Such that:s(180) =< V1 1121.73/291.58 aux(235) =< 1 1121.73/291.58 aux(236) =< V 1121.73/291.58 s(10) =< aux(235) 1121.73/291.58 s(22) =< aux(236) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=3,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [30,38,41]: 1*s(34)+4*s(180)+9 1121.73/291.58 Such that:s(34) =< 1 1121.73/291.58 aux(240) =< V1 1121.73/291.58 s(180) =< aux(240) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=2,V>=3,V>=V1] 1121.73/291.58 1121.73/291.58 * Chain [29,[37,39],41]: 5*it(37)+9*it(39)+1*s(8)+1*s(184)+5 1121.73/291.58 Such that:aux(15) =< 1 1121.73/291.58 aux(13) =< V1 1121.73/291.58 s(184) =< V 1121.73/291.58 aux(245) =< V1+1 1121.73/291.58 aux(6) =< aux(245) 1121.73/291.58 it(37) =< aux(245) 1121.73/291.58 it(39) =< aux(245) 1121.73/291.58 aux(6) =< aux(15)+aux(13) 1121.73/291.58 it(37) =< aux(15)+aux(13) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [29,[37,39],40,41]: 5*it(37)+18*it(39)+1*s(8)+15*s(10)+1*s(184)+9 1121.73/291.58 Such that:aux(24) =< V1 1121.73/291.58 s(184) =< V 1121.73/291.58 aux(250) =< 1 1121.73/291.58 aux(251) =< V1+1 1121.73/291.58 s(10) =< aux(250) 1121.73/291.58 it(39) =< aux(251) 1121.73/291.58 aux(6) =< aux(251) 1121.73/291.58 it(37) =< aux(251) 1121.73/291.58 aux(6) =< aux(250)+aux(24) 1121.73/291.58 it(37) =< aux(250)+aux(24) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=4,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [29,[37,39],38,41]: 5*it(37)+9*it(39)+1*s(8)+1*s(34)+1*s(184)+9 1121.73/291.58 Such that:aux(27) =< V1 1121.73/291.58 s(184) =< V 1121.73/291.58 aux(256) =< 1 1121.73/291.58 aux(257) =< V1+1 1121.73/291.58 s(34) =< aux(256) 1121.73/291.58 aux(6) =< aux(257) 1121.73/291.58 it(37) =< aux(257) 1121.73/291.58 it(39) =< aux(257) 1121.73/291.58 aux(6) =< aux(256)+aux(27) 1121.73/291.58 it(37) =< aux(256)+aux(27) 1121.73/291.58 s(8) =< aux(6) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=4,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [29,41]: 4*s(184)+5 1121.73/291.58 Such that:aux(262) =< V 1121.73/291.58 s(184) =< aux(262) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [29,40,41]: 15*s(10)+12*s(22)+1*s(184)+9 1121.73/291.58 Such that:s(184) =< V 1121.73/291.58 aux(266) =< 1 1121.73/291.58 aux(267) =< V1 1121.73/291.58 s(10) =< aux(266) 1121.73/291.58 s(22) =< aux(267) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 * Chain [29,38,41]: 1*s(34)+4*s(184)+9 1121.73/291.58 Such that:s(34) =< 1 1121.73/291.58 aux(271) =< V 1121.73/291.58 s(184) =< aux(271) 1121.73/291.58 1121.73/291.58 with precondition: [Out=0,V1>=3,V>=2,V1>=V] 1121.73/291.58 1121.73/291.58 1121.73/291.58 #### Cost of chains of start(V1,V): 1121.73/291.58 * Chain [43]: 167*s(1612)+126*s(1614)+467*s(1625)+15*s(1629)+36*s(1630)+3*s(1631)+30*s(1633)+63*s(1634)+6*s(1635)+30*s(1637)+6*s(1638)+594*s(1640)+761*s(1641)+36*s(1645)+36*s(1649)+66*s(1652)+198*s(1653)+33*s(1654)+924*s(1655)+264*s(1656)+99*s(1657)+144*s(1658)+99*s(1659)+78*s(1660)+30*s(1662)+6*s(1663)+54*s(1666)+60*s(1667)+24*s(1668)+6*s(1669)+6*s(1673)+6*s(1676)+18*s(1677)+3*s(1678)+84*s(1679)+24*s(1680)+9*s(1681)+24*s(1682)+9*s(1683)+54*s(1685)+6*s(1691)+18*s(1692)+3*s(1693)+84*s(1694)+24*s(1695)+9*s(1696)+9*s(1697)+60*s(1699)+12*s(1700)+54*s(1702)+6*s(1707)+18*s(1708)+3*s(1709)+84*s(1710)+24*s(1711)+9*s(1712)+9*s(1713)+15*s(1715)+3*s(1716)+15*s(1718)+3*s(1719)+15*s(1721)+3*s(1722)+9 1121.73/291.58 Such that:s(1618) =< 1 1121.73/291.58 s(1620) =< V1+1 1121.73/291.58 s(1621) =< V1+V 1121.73/291.58 s(1622) =< V1+V+1 1121.73/291.58 s(1624) =< V+1 1121.73/291.58 aux(282) =< V1 1121.73/291.58 aux(283) =< V 1121.73/291.58 s(1614) =< aux(282) 1121.73/291.58 s(1612) =< aux(283) 1121.73/291.58 s(1625) =< s(1618) 1121.73/291.58 s(1628) =< s(1620) 1121.73/291.58 s(1629) =< s(1620) 1121.73/291.58 s(1630) =< s(1620) 1121.73/291.58 s(1628) =< s(1618)+aux(282) 1121.73/291.58 s(1629) =< s(1618)+aux(282) 1121.73/291.58 s(1631) =< s(1628) 1121.73/291.58 s(1632) =< s(1624) 1121.73/291.58 s(1633) =< s(1624) 1121.73/291.58 s(1634) =< s(1624) 1121.73/291.58 s(1632) =< s(1618)+aux(283) 1121.73/291.58 s(1633) =< s(1618)+aux(283) 1121.73/291.58 s(1635) =< s(1632) 1121.73/291.58 s(1636) =< aux(282) 1121.73/291.58 s(1637) =< aux(282) 1121.73/291.58 s(1636) =< s(1618)+aux(282) 1121.73/291.58 s(1637) =< s(1618)+aux(282) 1121.73/291.58 s(1638) =< s(1636) 1121.73/291.58 s(1639) =< s(1621) 1121.73/291.58 s(1640) =< s(1621) 1121.73/291.58 s(1641) =< s(1621) 1121.73/291.58 s(1642) =< s(1621) 1121.73/291.58 s(1643) =< aux(283) 1121.73/291.58 s(1644) =< s(1621)-1 1121.73/291.58 s(1639) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1640) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1645) =< s(1641)*s(1621) 1121.73/291.58 s(1646) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1647) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1648) =< s(1641)*s(1642) 1121.73/291.58 s(1649) =< s(1641)*s(1642) 1121.73/291.58 s(1650) =< s(1640)*s(1642) 1121.73/291.58 s(1651) =< s(1640)*s(1643) 1121.73/291.58 s(1647) =< s(1640)*s(1642) 1121.73/291.58 s(1652) =< s(1640)*s(1643) 1121.73/291.58 s(1653) =< s(1639) 1121.73/291.58 s(1654) =< s(1640)*s(1644) 1121.73/291.58 s(1646) =< s(1640)*aux(283) 1121.73/291.58 s(1655) =< s(1650) 1121.73/291.58 s(1656) =< s(1651) 1121.73/291.58 s(1657) =< s(1647) 1121.73/291.58 s(1658) =< s(1648) 1121.73/291.58 s(1659) =< s(1646) 1121.73/291.58 s(1660) =< s(1622) 1121.73/291.58 s(1661) =< s(1622) 1121.73/291.58 s(1662) =< s(1622) 1121.73/291.58 s(1661) =< s(1618)+s(1621) 1121.73/291.58 s(1662) =< s(1618)+s(1621) 1121.73/291.58 s(1663) =< s(1661) 1121.73/291.58 s(1664) =< s(1621) 1121.73/291.58 s(1665) =< s(1621) 1121.73/291.58 s(1666) =< s(1621) 1121.73/291.58 s(1667) =< s(1621) 1121.73/291.58 s(1664) =< s(1622) 1121.73/291.58 s(1665) =< s(1622) 1121.73/291.58 s(1666) =< s(1622) 1121.73/291.58 s(1667) =< s(1622) 1121.73/291.58 s(1664) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1666) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1668) =< s(1665) 1121.73/291.58 s(1669) =< s(1667)*s(1621) 1121.73/291.58 s(1670) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1671) =< aux(283)+aux(283)+aux(282) 1121.73/291.58 s(1672) =< s(1667)*s(1642) 1121.73/291.58 s(1673) =< s(1667)*s(1642) 1121.73/291.58 s(1674) =< s(1666)*s(1642) 1121.73/291.58 s(1675) =< s(1666)*s(1643) 1121.73/291.58 s(1671) =< s(1666)*s(1642) 1121.73/291.58 s(1676) =< s(1666)*s(1643) 1121.73/291.58 s(1677) =< s(1664) 1121.73/291.58 s(1678) =< s(1666)*s(1644) 1121.73/291.58 s(1670) =< s(1666)*aux(283) 1121.73/291.58 s(1679) =< s(1674) 1121.73/291.58 s(1680) =< s(1675) 1121.73/291.58 s(1681) =< s(1671) 1121.73/291.58 s(1682) =< s(1672) 1121.73/291.58 s(1683) =< s(1670) 1121.73/291.58 s(1684) =< s(1621) 1121.73/291.58 s(1685) =< s(1621) 1121.73/291.58 s(1684) =< s(1622) 1121.73/291.58 s(1685) =< s(1622) 1121.73/291.58 s(1686) =< aux(283) 1121.73/291.58 s(1686) =< s(1624) 1121.73/291.58 s(1684) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1685) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1687) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1688) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1689) =< s(1685)*s(1642) 1121.73/291.58 s(1690) =< s(1685)*s(1643) 1121.73/291.58 s(1688) =< s(1685)*s(1642) 1121.73/291.58 s(1691) =< s(1685)*s(1643) 1121.73/291.58 s(1692) =< s(1684) 1121.73/291.58 s(1693) =< s(1685)*s(1644) 1121.73/291.58 s(1687) =< s(1685)*aux(283) 1121.73/291.58 s(1694) =< s(1689) 1121.73/291.58 s(1695) =< s(1690) 1121.73/291.58 s(1696) =< s(1688) 1121.73/291.58 s(1697) =< s(1687) 1121.73/291.58 s(1698) =< s(1621) 1121.73/291.58 s(1699) =< s(1621) 1121.73/291.58 s(1698) =< s(1618)+s(1621) 1121.73/291.58 s(1699) =< s(1618)+s(1621) 1121.73/291.58 s(1700) =< s(1698) 1121.73/291.58 s(1701) =< s(1621) 1121.73/291.58 s(1702) =< s(1621) 1121.73/291.58 s(1701) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1702) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1703) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1704) =< s(1686)+s(1686)+aux(282) 1121.73/291.58 s(1705) =< s(1702)*s(1642) 1121.73/291.58 s(1706) =< s(1702)*s(1643) 1121.73/291.58 s(1704) =< s(1702)*s(1642) 1121.73/291.58 s(1707) =< s(1702)*s(1643) 1121.73/291.58 s(1708) =< s(1701) 1121.73/291.58 s(1709) =< s(1702)*s(1644) 1121.73/291.58 s(1703) =< s(1702)*aux(283) 1121.73/291.58 s(1710) =< s(1705) 1121.73/291.58 s(1711) =< s(1706) 1121.73/291.58 s(1712) =< s(1704) 1121.73/291.58 s(1713) =< s(1703) 1121.73/291.58 s(1714) =< s(1621) 1121.73/291.58 s(1715) =< s(1621) 1121.73/291.58 s(1714) =< s(1621)+s(1621) 1121.73/291.58 s(1715) =< s(1621)+s(1621) 1121.73/291.58 s(1716) =< s(1714) 1121.73/291.58 s(1717) =< s(1621) 1121.73/291.58 s(1718) =< s(1621) 1121.73/291.58 s(1717) =< aux(283)+aux(282) 1121.73/291.58 s(1718) =< aux(283)+aux(282) 1121.73/291.58 s(1719) =< s(1717) 1121.73/291.58 s(1720) =< aux(283) 1121.73/291.58 s(1721) =< aux(283) 1121.73/291.58 s(1720) =< s(1618)+aux(283) 1121.73/291.58 s(1721) =< s(1618)+aux(283) 1121.73/291.58 s(1722) =< s(1720) 1121.73/291.58 1121.73/291.58 with precondition: [V1>=0,V>=0] 1121.73/291.58 1121.73/291.58 * Chain [42]: 1 1121.73/291.58 with precondition: [V=0,V1>=0] 1121.73/291.58 1121.73/291.58 1121.73/291.58 Closed-form bounds of start(V1,V): 1121.73/291.58 ------------------------------------- 1121.73/291.58 * Chain [43] with precondition: [V1>=0,V>=0] 1121.73/291.58 - Upper bound: 414*V1+689*V+476+(V1+V)*(420*V)+(V1+V)*(nat(V1+V-1)*42)+(1961*V1+1961*V)+(1428*V1+1428*V)*(V1+V)+(54*V1+54)+(99*V+99)+(114*V1+114*V+114) 1121.73/291.58 - Complexity: n^2 1121.73/291.58 * Chain [42] with precondition: [V=0,V1>=0] 1121.73/291.58 - Upper bound: 1 1121.73/291.58 - Complexity: constant 1121.73/291.58 1121.73/291.58 ### Maximum cost of start(V1,V): 414*V1+689*V+475+(V1+V)*(420*V)+(V1+V)*(nat(V1+V-1)*42)+(1961*V1+1961*V)+(1428*V1+1428*V)*(V1+V)+(54*V1+54)+(99*V+99)+(114*V1+114*V+114)+1 1121.73/291.58 Asymptotic class: n^2 1121.73/291.58 * Total analysis performed in 6679 ms. 1121.73/291.58 1121.73/291.58 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (12) 1121.73/291.58 BOUNDS(1, n^2) 1121.73/291.58 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (13) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) 1121.73/291.58 Transformed a relative TRS into a decreasing-loop problem. 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (14) 1121.73/291.58 Obligation: 1121.73/291.58 Analyzing the following TRS for decreasing loops: 1121.73/291.58 1121.73/291.58 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). 1121.73/291.58 1121.73/291.58 1121.73/291.58 The TRS R consists of the following rules: 1121.73/291.58 1121.73/291.58 min(x, 0) -> 0 1121.73/291.58 min(0, y) -> 0 1121.73/291.58 min(s(x), s(y)) -> s(min(x, y)) 1121.73/291.58 max(x, 0) -> x 1121.73/291.58 max(0, y) -> y 1121.73/291.58 max(s(x), s(y)) -> s(max(x, y)) 1121.73/291.58 -(x, 0) -> x 1121.73/291.58 -(s(x), s(y)) -> -(x, y) 1121.73/291.58 gcd(s(x), s(y)) -> gcd(-(s(max(x, y)), s(min(x, y))), s(min(x, y))) 1121.73/291.58 1121.73/291.58 S is empty. 1121.73/291.58 Rewrite Strategy: INNERMOST 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (15) DecreasingLoopProof (LOWER BOUND(ID)) 1121.73/291.58 The following loop(s) give(s) rise to the lower bound Omega(n^1): 1121.73/291.58 1121.73/291.58 The rewrite sequence 1121.73/291.58 1121.73/291.58 -(s(x), s(y)) ->^+ -(x, y) 1121.73/291.58 1121.73/291.58 gives rise to a decreasing loop by considering the right hand sides subterm at position []. 1121.73/291.58 1121.73/291.58 The pumping substitution is [x / s(x), y / s(y)]. 1121.73/291.58 1121.73/291.58 The result substitution is [ ]. 1121.73/291.58 1121.73/291.58 1121.73/291.58 1121.73/291.58 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (16) 1121.73/291.58 Complex Obligation (BEST) 1121.73/291.58 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (17) 1121.73/291.58 Obligation: 1121.73/291.58 Proved the lower bound n^1 for the following obligation: 1121.73/291.58 1121.73/291.58 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). 1121.73/291.58 1121.73/291.58 1121.73/291.58 The TRS R consists of the following rules: 1121.73/291.58 1121.73/291.58 min(x, 0) -> 0 1121.73/291.58 min(0, y) -> 0 1121.73/291.58 min(s(x), s(y)) -> s(min(x, y)) 1121.73/291.58 max(x, 0) -> x 1121.73/291.58 max(0, y) -> y 1121.73/291.58 max(s(x), s(y)) -> s(max(x, y)) 1121.73/291.58 -(x, 0) -> x 1121.73/291.58 -(s(x), s(y)) -> -(x, y) 1121.73/291.58 gcd(s(x), s(y)) -> gcd(-(s(max(x, y)), s(min(x, y))), s(min(x, y))) 1121.73/291.58 1121.73/291.58 S is empty. 1121.73/291.58 Rewrite Strategy: INNERMOST 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (18) LowerBoundPropagationProof (FINISHED) 1121.73/291.58 Propagated lower bound. 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (19) 1121.73/291.58 BOUNDS(n^1, INF) 1121.73/291.58 1121.73/291.58 ---------------------------------------- 1121.73/291.58 1121.73/291.58 (20) 1121.73/291.58 Obligation: 1121.73/291.58 Analyzing the following TRS for decreasing loops: 1121.73/291.58 1121.73/291.58 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). 1121.73/291.58 1121.73/291.58 1121.73/291.58 The TRS R consists of the following rules: 1121.73/291.58 1121.73/291.58 min(x, 0) -> 0 1121.73/291.58 min(0, y) -> 0 1121.73/291.58 min(s(x), s(y)) -> s(min(x, y)) 1121.73/291.58 max(x, 0) -> x 1121.73/291.58 max(0, y) -> y 1121.73/291.58 max(s(x), s(y)) -> s(max(x, y)) 1121.73/291.58 -(x, 0) -> x 1121.73/291.58 -(s(x), s(y)) -> -(x, y) 1121.73/291.58 gcd(s(x), s(y)) -> gcd(-(s(max(x, y)), s(min(x, y))), s(min(x, y))) 1121.73/291.58 1121.73/291.58 S is empty. 1121.73/291.58 Rewrite Strategy: INNERMOST 1121.92/291.64 EOF