TSTP Solution File: NUM861+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:50:29 EDT 2023
% Result : Theorem 142.81s 19.44s
% Output : Proof 144.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 17:31:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.04/1.04 Prover 4: Preprocessing ...
% 2.04/1.04 Prover 1: Preprocessing ...
% 2.70/1.08 Prover 3: Preprocessing ...
% 2.70/1.08 Prover 0: Preprocessing ...
% 2.70/1.08 Prover 6: Preprocessing ...
% 2.70/1.08 Prover 2: Preprocessing ...
% 2.70/1.08 Prover 5: Preprocessing ...
% 5.15/1.46 Prover 3: Constructing countermodel ...
% 5.15/1.47 Prover 1: Constructing countermodel ...
% 5.15/1.47 Prover 5: Proving ...
% 5.15/1.47 Prover 2: Proving ...
% 5.15/1.47 Prover 6: Proving ...
% 6.08/1.56 Prover 4: Constructing countermodel ...
% 6.08/1.57 Prover 0: Proving ...
% 7.38/1.78 Prover 3: gave up
% 7.78/1.79 Prover 1: gave up
% 7.78/1.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.78/1.80 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.78/1.81 Prover 7: Preprocessing ...
% 7.78/1.85 Prover 8: Preprocessing ...
% 8.30/1.88 Prover 7: Warning: ignoring some quantifiers
% 8.30/1.89 Prover 7: Constructing countermodel ...
% 8.30/1.94 Prover 7: gave up
% 8.56/1.94 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 8.56/1.96 Prover 9: Preprocessing ...
% 9.27/1.98 Prover 8: Warning: ignoring some quantifiers
% 9.27/1.99 Prover 8: Constructing countermodel ...
% 10.24/2.14 Prover 9: Constructing countermodel ...
% 10.74/2.21 Prover 8: gave up
% 10.74/2.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.74/2.25 Prover 10: Preprocessing ...
% 11.56/2.31 Prover 10: Warning: ignoring some quantifiers
% 11.85/2.32 Prover 10: Constructing countermodel ...
% 12.57/2.52 Prover 10: gave up
% 12.57/2.53 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.19/2.55 Prover 11: Preprocessing ...
% 14.88/2.77 Prover 11: Constructing countermodel ...
% 63.50/9.06 Prover 2: stopped
% 63.50/9.06 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 63.50/9.08 Prover 12: Preprocessing ...
% 64.42/9.17 Prover 12: Proving ...
% 78.14/10.97 Prover 12: stopped
% 78.14/10.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 78.14/10.98 Prover 13: Preprocessing ...
% 78.72/11.01 Prover 13: Warning: ignoring some quantifiers
% 78.72/11.01 Prover 13: Constructing countermodel ...
% 100.87/13.97 Prover 5: stopped
% 100.87/13.97 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 100.87/13.99 Prover 14: Preprocessing ...
% 102.27/14.09 Prover 14: Proving ...
% 113.89/15.68 Prover 13: stopped
% 113.89/15.69 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181
% 113.89/15.72 Prover 15: Preprocessing ...
% 114.54/15.81 Prover 15: Proving ...
% 131.11/17.90 Prover 6: stopped
% 131.11/17.92 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 131.11/17.93 Prover 16: Preprocessing ...
% 131.61/17.96 Prover 16: Warning: ignoring some quantifiers
% 131.68/17.96 Prover 16: Constructing countermodel ...
% 142.81/19.44 Prover 4: Found proof (size 1093)
% 142.81/19.44 Prover 4: proved (18805ms)
% 142.81/19.44 Prover 15: stopped
% 142.81/19.44 Prover 9: stopped
% 142.81/19.44 Prover 14: stopped
% 142.81/19.44 Prover 0: stopped
% 142.81/19.44 Prover 16: stopped
% 142.81/19.44 Prover 11: stopped
% 142.81/19.44
% 142.81/19.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.81/19.44
% 142.81/19.48 % SZS output start Proof for theBenchmark
% 142.81/19.49 Assumptions after simplification:
% 142.81/19.49 ---------------------------------
% 142.81/19.49
% 142.81/19.49 (lesseq_ref)
% 143.10/19.51 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (lesseq(v0, v0) = v1) | ~ $i(v0))
% 143.10/19.51
% 143.10/19.51 (lesseq_total)
% 143.10/19.51 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (lesseq(v1, v0) = v2)
% 143.10/19.51 | ~ $i(v1) | ~ $i(v0) | lesseq(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] :
% 143.10/19.51 ! [v2: int] : (v2 = 0 | ~ (lesseq(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.51 lesseq(v1, v0) = 0)
% 143.10/19.51
% 143.10/19.51 (lesseq_trans)
% 143.10/19.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.52 (lesseq(v1, v2) = 0) | ~ (lesseq(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 143.10/19.52 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & lesseq(v0, v1) = v4)) & ! [v0: $i] :
% 143.10/19.52 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (lesseq(v0, v2) = v3)
% 143.10/19.52 | ~ (lesseq(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int]
% 143.10/19.52 : ( ~ (v4 = 0) & lesseq(v1, v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 143.10/19.52 $i] : ( ~ (lesseq(v1, v2) = 0) | ~ (lesseq(v0, v1) = 0) | ~ $i(v2) | ~
% 143.10/19.52 $i(v1) | ~ $i(v0) | lesseq(v0, v2) = 0)
% 143.10/19.52
% 143.10/19.52 (max_1)
% 143.10/19.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (max(v0, v1) = v2) |
% 143.10/19.52 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & lesseq(v1, v0) = v3)) &
% 143.10/19.52 ! [v0: $i] : ! [v1: $i] : ( ~ (lesseq(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.52 max(v0, v1) = v0)
% 143.10/19.52
% 143.10/19.52 (max_2)
% 143.10/19.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (max(v0, v1) = v2) |
% 143.10/19.52 ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & lesseq(v0, v1) = v3)) &
% 143.10/19.52 ! [v0: $i] : ! [v1: $i] : ( ~ (lesseq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.52 max(v0, v1) = v1)
% 143.10/19.52
% 143.10/19.52 (max_is_ub_1)
% 143.10/19.52 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: any] :
% 143.10/19.52 (minsol_model_ub(v0, v1, v2) = v3 & minsol_model_max(v0, v1, v2) = v4 & $i(v2)
% 143.10/19.52 & $i(v1) & $i(v0) & ((v4 = 0 & ~ (v3 = 0)) | (v3 = 0 & ~ (v4 = 0))))
% 143.10/19.52
% 143.10/19.52 (minsol_model_max)
% 143.10/19.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] : ! [v4:
% 143.10/19.53 $i] : ! [v5: int] : (v5 = 0 | ~ (model_max(v0, v1, v2) = v3) | ~
% 143.10/19.53 (lesseq(v2, v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.53 [v6: int] : (( ~ (v6 = 0) & minsol_model_max(v0, v1, v2) = v6) | ( ~ (v6 =
% 143.10/19.53 0) & model_max(v0, v1, v4) = v6))) & ! [v0: $i] : ! [v1: $i] : !
% 143.10/19.53 [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (minsol_model_max(v0, v1,
% 143.10/19.53 v2) = 0) | ~ (lesseq(v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 143.10/19.53 | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & model_max(v0, v1, v3) = v5)) &
% 143.10/19.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] : ! [v4:
% 143.10/19.53 $i] : ( ~ (model_max(v0, v1, v4) = 0) | ~ (model_max(v0, v1, v2) = v3) | ~
% 143.10/19.53 $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ((v5 = 0 &
% 143.10/19.53 lesseq(v2, v4) = 0) | ( ~ (v5 = 0) & minsol_model_max(v0, v1, v2) =
% 143.10/19.53 v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0
% 143.10/19.53 | ~ (minsol_model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 143.10/19.53 | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v6
% 143.10/19.53 = 0 & ~ (v7 = 0) & model_max(v0, v1, v5) = 0 & lesseq(v2, v5) = v7) |
% 143.10/19.53 ( ~ (v4 = 0) & model_max(v0, v1, v2) = v4)))) & ! [v0: $i] : ! [v1:
% 143.10/19.53 $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (model_max(v0, v1, v2) = v3)
% 143.10/19.53 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 143.10/19.53 minsol_model_max(v0, v1, v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 143.10/19.53 $i] : ! [v3: $i] : ( ~ (minsol_model_max(v0, v1, v2) = 0) | ~
% 143.10/19.53 (model_max(v0, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 143.10/19.53 | lesseq(v2, v3) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 143.10/19.53 (minsol_model_max(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.53 model_max(v0, v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 143.10/19.53 (model_max(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 143.10/19.53 int] : ? [v4: $i] : ? [v5: int] : ? [v6: int] : ($i(v4) & ((v5 = 0 & ~
% 143.10/19.53 (v6 = 0) & model_max(v0, v1, v4) = 0 & lesseq(v2, v4) = v6) | (v3 = 0
% 143.10/19.53 & minsol_model_max(v0, v1, v2) = 0))))
% 143.10/19.53
% 143.10/19.53 (minsol_model_ub)
% 143.10/19.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] : ! [v4:
% 143.10/19.54 $i] : ! [v5: int] : (v5 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~
% 143.10/19.54 (lesseq(v2, v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.54 [v6: int] : (( ~ (v6 = 0) & minsol_model_ub(v0, v1, v2) = v6) | ( ~ (v6 = 0)
% 143.10/19.54 & model_ub(v0, v1, v4) = v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 143.10/19.54 : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (minsol_model_ub(v0, v1, v2) = 0)
% 143.10/19.54 | ~ (lesseq(v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.54 ? [v5: int] : ( ~ (v5 = 0) & model_ub(v0, v1, v3) = v5)) & ! [v0: $i] : !
% 143.10/19.54 [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] : ! [v4: $i] : ( ~
% 143.10/19.54 (model_ub(v0, v1, v4) = 0) | ~ (model_ub(v0, v1, v2) = v3) | ~ $i(v4) | ~
% 143.10/19.54 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ((v5 = 0 & lesseq(v2, v4) =
% 143.10/19.54 0) | ( ~ (v5 = 0) & minsol_model_ub(v0, v1, v2) = v5))) & ! [v0: $i] :
% 143.10/19.54 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (minsol_model_ub(v0,
% 143.10/19.54 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ?
% 143.10/19.54 [v5: $i] : ? [v6: int] : ? [v7: int] : ($i(v5) & ((v6 = 0 & ~ (v7 = 0) &
% 143.10/19.54 model_ub(v0, v1, v5) = 0 & lesseq(v2, v5) = v7) | ( ~ (v4 = 0) &
% 143.10/19.54 model_ub(v0, v1, v2) = v4)))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 143.10/19.54 $i] : ! [v3: int] : (v3 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~ $i(v2) |
% 143.10/19.54 ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & minsol_model_ub(v0, v1,
% 143.10/19.54 v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 143.10/19.54 (minsol_model_ub(v0, v1, v2) = 0) | ~ (model_ub(v0, v1, v3) = 0) | ~
% 143.10/19.54 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | lesseq(v2, v3) = 0) & ! [v0:
% 143.10/19.54 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (minsol_model_ub(v0, v1, v2) = 0) | ~
% 143.10/19.54 $i(v2) | ~ $i(v1) | ~ $i(v0) | model_ub(v0, v1, v2) = 0) & ! [v0: $i] :
% 143.10/19.54 ! [v1: $i] : ! [v2: $i] : ( ~ (model_ub(v0, v1, v2) = 0) | ~ $i(v2) | ~
% 143.10/19.54 $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4: $i] : ? [v5: int] : ? [v6:
% 143.10/19.54 int] : ($i(v4) & ((v5 = 0 & ~ (v6 = 0) & model_ub(v0, v1, v4) = 0 &
% 143.10/19.54 lesseq(v2, v4) = v6) | (v3 = 0 & minsol_model_ub(v0, v1, v2) = 0))))
% 143.10/19.54
% 143.10/19.54 (model_max_4)
% 143.10/19.54 $i(c) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 143.10/19.54 ! [v5: int] : (v5 = 0 | ~ (max(v0, v1) = v3) | ~ (sum(c, v3) = v4) | ~
% 143.10/19.54 (lesseq(v4, v2) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : (
% 143.10/19.54 ~ (v6 = 0) & model_max(v0, v1, v2) = v6)) & ! [v0: $i] : ! [v1: $i] : !
% 143.10/19.54 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (max(v0, v1) = v3) | ~ (sum(c, v3)
% 143.10/19.54 = v4) | ~ (lesseq(v4, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.54 model_max(v0, v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 143.10/19.54 [v3: int] : (v3 = 0 | ~ (model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 143.10/19.54 | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) &
% 143.10/19.54 max(v0, v1) = v4 & sum(c, v4) = v5 & lesseq(v5, v2) = v6 & $i(v5) &
% 143.10/19.54 $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (model_max(v0,
% 143.10/19.54 v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 143.10/19.54 $i] : (max(v0, v1) = v3 & sum(c, v3) = v4 & lesseq(v4, v2) = 0 & $i(v4) &
% 143.10/19.54 $i(v3)))
% 143.10/19.54
% 143.10/19.54 (model_ub_4)
% 143.10/19.55 $i(c) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] :
% 143.10/19.55 ! [v5: $i] : (v3 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~ (sum(c, v4) = v5)
% 143.10/19.55 | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 143.10/19.55 any] : (ub(v0, v1, v4) = v6 & lesseq(v5, v2) = v7 & ( ~ (v7 = 0) | ~ (v6
% 143.10/19.55 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : !
% 143.10/19.55 [v4: $i] : (v3 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~ (ub(v0, v1, v4) = 0)
% 143.10/19.55 | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: int]
% 143.10/19.55 : ( ~ (v6 = 0) & sum(c, v4) = v5 & lesseq(v5, v2) = v6 & $i(v5))) & ! [v0:
% 143.10/19.55 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (model_ub(v0, v1, v2) = 0) | ~ $i(v2)
% 143.10/19.55 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (ub(v0, v1, v3) = 0 &
% 143.10/19.55 sum(c, v3) = v4 & lesseq(v4, v2) = 0 & $i(v4) & $i(v3)))
% 143.10/19.55
% 143.10/19.55 (sum_monotone_1)
% 143.10/19.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 143.10/19.55 int] : (v5 = 0 | ~ (sum(v2, v1) = v4) | ~ (sum(v2, v0) = v3) | ~
% 143.10/19.55 (lesseq(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : (
% 143.10/19.55 ~ (v6 = 0) & lesseq(v0, v1) = v6)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 143.10/19.55 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (sum(v2, v1) = v4) | ~ (sum(v2, v0) =
% 143.10/19.55 v3) | ~ (lesseq(v3, v4) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.55 lesseq(v0, v1) = 0)
% 143.10/19.55
% 143.10/19.55 (summation_monotone)
% 143.10/19.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 143.10/19.55 | ~ (summation(v1) = v3) | ~ (summation(v0) = v2) | ~ (lesseq(v2, v3) =
% 143.10/19.55 v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & lesseq(v0, v1)
% 143.10/19.55 = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 143.10/19.55 (summation(v1) = v3) | ~ (summation(v0) = v2) | ~ (lesseq(v2, v3) = 0) |
% 143.10/19.55 ~ $i(v1) | ~ $i(v0) | lesseq(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : !
% 143.10/19.55 [v2: int] : (v2 = 0 | ~ (lesseq(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.55 [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 = 0) & summation(v1) = v4 &
% 143.10/19.55 summation(v0) = v3 & lesseq(v3, v4) = v5 & $i(v4) & $i(v3))) & ! [v0: $i]
% 143.10/19.55 : ! [v1: $i] : ( ~ (lesseq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i]
% 143.10/19.55 : ? [v3: $i] : (summation(v1) = v3 & summation(v0) = v2 & lesseq(v2, v3) =
% 143.10/19.55 0 & $i(v3) & $i(v2)))
% 143.10/19.55
% 143.10/19.55 (ub)
% 143.10/19.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (ub(v0,
% 143.10/19.55 v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ?
% 143.10/19.55 [v5: any] : (lesseq(v1, v2) = v5 & lesseq(v0, v2) = v4 & ( ~ (v5 = 0) | ~
% 143.10/19.55 (v4 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ub(v0, v1,
% 143.10/19.55 v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | (lesseq(v1, v2) = 0 &
% 143.10/19.55 lesseq(v0, v2) = 0))
% 143.10/19.55
% 143.10/19.55 (function-axioms)
% 143.10/19.56 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 143.10/19.56 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_ub(v4, v3, v2) = v1) | ~
% 143.10/19.56 (minsol_model_ub(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 143.10/19.56 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 143.10/19.56 (minsol_model_max(v4, v3, v2) = v1) | ~ (minsol_model_max(v4, v3, v2) =
% 143.10/19.56 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 143.10/19.56 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_ub(v4, v3, v2) = v1)
% 143.10/19.56 | ~ (model_ub(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 143.10/19.56 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 143.10/19.56 (model_max(v4, v3, v2) = v1) | ~ (model_max(v4, v3, v2) = v0)) & ! [v0:
% 143.10/19.56 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 143.10/19.56 : ! [v4: $i] : (v1 = v0 | ~ (ub(v4, v3, v2) = v1) | ~ (ub(v4, v3, v2) =
% 143.10/19.56 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 143.10/19.56 ~ (max(v3, v2) = v1) | ~ (max(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 143.10/19.56 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sum(v3, v2) = v1) | ~ (sum(v3, v2)
% 143.10/19.56 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 143.10/19.56 $i] : ! [v3: $i] : (v1 = v0 | ~ (lesseq(v3, v2) = v1) | ~ (lesseq(v3, v2)
% 143.10/19.56 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 143.10/19.56 (summation(v2) = v1) | ~ (summation(v2) = v0))
% 143.10/19.56
% 143.10/19.56 Further assumptions not needed in the proof:
% 143.10/19.56 --------------------------------------------
% 143.10/19.56 lesseq_antisymmetric
% 143.10/19.56
% 143.10/19.56 Those formulas are unsatisfiable:
% 143.10/19.56 ---------------------------------
% 143.10/19.56
% 143.10/19.56 Begin of proof
% 143.10/19.56 |
% 143.10/19.56 | ALPHA: (lesseq_trans) implies:
% 143.10/19.56 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.56 | (lesseq(v1, v2) = 0) | ~ (lesseq(v0, v2) = v3) | ~ $i(v2) | ~
% 143.10/19.56 | $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & lesseq(v0, v1) =
% 143.10/19.56 | v4))
% 143.10/19.56 |
% 143.10/19.56 | ALPHA: (lesseq_total) implies:
% 143.10/19.56 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (lesseq(v1, v0)
% 143.10/19.56 | = v2) | ~ $i(v1) | ~ $i(v0) | lesseq(v0, v1) = 0)
% 143.10/19.56 |
% 143.10/19.56 | ALPHA: (sum_monotone_1) implies:
% 143.10/19.56 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 143.10/19.56 | ~ (sum(v2, v1) = v4) | ~ (sum(v2, v0) = v3) | ~ (lesseq(v3, v4) =
% 143.10/19.56 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | lesseq(v0, v1) = 0)
% 143.10/19.56 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 143.10/19.56 | ! [v5: int] : (v5 = 0 | ~ (sum(v2, v1) = v4) | ~ (sum(v2, v0) = v3) |
% 143.10/19.56 | ~ (lesseq(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.56 | [v6: int] : ( ~ (v6 = 0) & lesseq(v0, v1) = v6))
% 143.10/19.56 |
% 143.10/19.56 | ALPHA: (summation_monotone) implies:
% 143.10/19.56 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (lesseq(v0, v1) = 0) | ~ $i(v1) | ~
% 143.10/19.56 | $i(v0) | ? [v2: $i] : ? [v3: $i] : (summation(v1) = v3 &
% 143.10/19.56 | summation(v0) = v2 & lesseq(v2, v3) = 0 & $i(v3) & $i(v2)))
% 143.10/19.56 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (lesseq(v0, v1)
% 143.10/19.56 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 143.10/19.56 | int] : ( ~ (v5 = 0) & summation(v1) = v4 & summation(v0) = v3 &
% 143.10/19.56 | lesseq(v3, v4) = v5 & $i(v4) & $i(v3)))
% 143.10/19.56 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 143.10/19.56 | (summation(v1) = v3) | ~ (summation(v0) = v2) | ~ (lesseq(v2, v3) =
% 143.10/19.56 | 0) | ~ $i(v1) | ~ $i(v0) | lesseq(v0, v1) = 0)
% 143.10/19.56 |
% 143.10/19.56 | ALPHA: (max_1) implies:
% 143.10/19.56 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (lesseq(v1, v0) = 0) | ~ $i(v1) | ~
% 143.10/19.56 | $i(v0) | max(v0, v1) = v0)
% 143.10/19.57 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ (max(v0, v1) =
% 143.10/19.57 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 143.10/19.57 | lesseq(v1, v0) = v3))
% 143.10/19.57 |
% 143.10/19.57 | ALPHA: (max_2) implies:
% 143.10/19.57 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (lesseq(v0, v1) = 0) | ~ $i(v1) | ~
% 143.10/19.57 | $i(v0) | max(v0, v1) = v1)
% 143.10/19.57 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (max(v0, v1) =
% 143.10/19.57 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 143.10/19.57 | lesseq(v0, v1) = v3))
% 143.10/19.57 |
% 143.10/19.57 | ALPHA: (ub) implies:
% 143.10/19.57 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ub(v0, v1, v2) = 0) |
% 143.10/19.57 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | (lesseq(v1, v2) = 0 & lesseq(v0,
% 143.10/19.57 | v2) = 0))
% 143.10/19.57 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.57 | (ub(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4:
% 143.10/19.57 | any] : ? [v5: any] : (lesseq(v1, v2) = v5 & lesseq(v0, v2) = v4 &
% 143.10/19.57 | ( ~ (v5 = 0) | ~ (v4 = 0))))
% 143.10/19.57 |
% 143.10/19.57 | ALPHA: (model_max_4) implies:
% 143.10/19.57 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (model_max(v0, v1, v2) =
% 143.10/19.57 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i]
% 143.10/19.57 | : (max(v0, v1) = v3 & sum(c, v3) = v4 & lesseq(v4, v2) = 0 & $i(v4)
% 143.10/19.57 | & $i(v3)))
% 143.10/19.57 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.57 | (model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.57 | ? [v4: $i] : ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) & max(v0, v1)
% 143.10/19.57 | = v4 & sum(c, v4) = v5 & lesseq(v5, v2) = v6 & $i(v5) & $i(v4)))
% 143.10/19.57 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 143.10/19.57 | ( ~ (max(v0, v1) = v3) | ~ (sum(c, v3) = v4) | ~ (lesseq(v4, v2) =
% 143.10/19.57 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | model_max(v0, v1, v2) =
% 143.10/19.57 | 0)
% 143.10/19.57 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 143.10/19.57 | ! [v5: int] : (v5 = 0 | ~ (max(v0, v1) = v3) | ~ (sum(c, v3) = v4) |
% 143.10/19.57 | ~ (lesseq(v4, v2) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.57 | [v6: int] : ( ~ (v6 = 0) & model_max(v0, v1, v2) = v6))
% 143.10/19.57 |
% 143.10/19.57 | ALPHA: (model_ub_4) implies:
% 143.10/19.57 | (18) $i(c)
% 143.10/19.57 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (model_ub(v0, v1, v2) =
% 143.10/19.57 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i]
% 143.10/19.57 | : (ub(v0, v1, v3) = 0 & sum(c, v3) = v4 & lesseq(v4, v2) = 0 &
% 143.10/19.57 | $i(v4) & $i(v3)))
% 143.10/19.57 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] :
% 143.10/19.57 | (v3 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~ (ub(v0, v1, v4) = 0) |
% 143.10/19.57 | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6:
% 143.10/19.57 | int] : ( ~ (v6 = 0) & sum(c, v4) = v5 & lesseq(v5, v2) = v6 &
% 143.10/19.57 | $i(v5)))
% 143.10/19.58 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: $i] :
% 143.10/19.58 | ! [v5: $i] : (v3 = 0 | ~ (model_ub(v0, v1, v2) = v3) | ~ (sum(c,
% 143.10/19.58 | v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.58 | [v6: any] : ? [v7: any] : (ub(v0, v1, v4) = v6 & lesseq(v5, v2) =
% 143.10/19.58 | v7 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 143.10/19.58 |
% 143.10/19.58 | ALPHA: (minsol_model_max) implies:
% 143.10/19.58 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (model_max(v0, v1, v2) =
% 143.10/19.58 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ? [v4:
% 143.10/19.58 | $i] : ? [v5: int] : ? [v6: int] : ($i(v4) & ((v5 = 0 & ~ (v6 =
% 143.10/19.58 | 0) & model_max(v0, v1, v4) = 0 & lesseq(v2, v4) = v6) | (v3
% 143.10/19.58 | = 0 & minsol_model_max(v0, v1, v2) = 0))))
% 143.10/19.58 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (minsol_model_max(v0,
% 143.10/19.58 | v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | model_max(v0,
% 143.10/19.58 | v1, v2) = 0)
% 143.10/19.58 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 143.10/19.58 | (minsol_model_max(v0, v1, v2) = 0) | ~ (model_max(v0, v1, v3) = 0)
% 143.10/19.58 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | lesseq(v2, v3) =
% 143.10/19.58 | 0)
% 143.10/19.58 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.58 | (model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 143.10/19.58 | ? [v4: int] : ( ~ (v4 = 0) & minsol_model_max(v0, v1, v2) = v4))
% 143.10/19.58 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.58 | (minsol_model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 143.10/19.58 | $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] :
% 143.10/19.58 | ($i(v5) & ((v6 = 0 & ~ (v7 = 0) & model_max(v0, v1, v5) = 0 &
% 143.10/19.58 | lesseq(v2, v5) = v7) | ( ~ (v4 = 0) & model_max(v0, v1, v2) =
% 143.10/19.58 | v4))))
% 143.10/19.58 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] :
% 143.10/19.58 | ! [v4: $i] : ( ~ (model_max(v0, v1, v4) = 0) | ~ (model_max(v0, v1,
% 143.10/19.58 | v2) = v3) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 143.10/19.58 | [v5: int] : ((v5 = 0 & lesseq(v2, v4) = 0) | ( ~ (v5 = 0) &
% 143.10/19.58 | minsol_model_max(v0, v1, v2) = v5)))
% 143.10/19.58 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 143.10/19.58 | (v4 = 0 | ~ (minsol_model_max(v0, v1, v2) = 0) | ~ (lesseq(v2, v3) =
% 143.10/19.58 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int]
% 143.10/19.58 | : ( ~ (v5 = 0) & model_max(v0, v1, v3) = v5))
% 143.10/19.58 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] :
% 143.10/19.58 | ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (model_max(v0, v1, v2) = v3)
% 143.10/19.58 | | ~ (lesseq(v2, v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~
% 143.10/19.58 | $i(v0) | ? [v6: int] : (( ~ (v6 = 0) & minsol_model_max(v0, v1, v2)
% 143.10/19.58 | = v6) | ( ~ (v6 = 0) & model_max(v0, v1, v4) = v6)))
% 143.10/19.58 |
% 143.10/19.58 | ALPHA: (minsol_model_ub) implies:
% 143.10/19.58 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (minsol_model_ub(v0, v1,
% 143.10/19.58 | v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | model_ub(v0, v1,
% 143.10/19.58 | v2) = 0)
% 143.10/19.58 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 143.10/19.58 | (minsol_model_ub(v0, v1, v2) = 0) | ~ (model_ub(v0, v1, v3) = 0) |
% 143.10/19.58 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | lesseq(v2, v3) = 0)
% 143.10/19.58 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 143.10/19.58 | (minsol_model_ub(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 143.10/19.58 | $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] :
% 143.10/19.58 | ($i(v5) & ((v6 = 0 & ~ (v7 = 0) & model_ub(v0, v1, v5) = 0 &
% 143.10/19.58 | lesseq(v2, v5) = v7) | ( ~ (v4 = 0) & model_ub(v0, v1, v2) =
% 143.10/19.58 | v4))))
% 143.10/19.59 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 143.10/19.59 | (v4 = 0 | ~ (minsol_model_ub(v0, v1, v2) = 0) | ~ (lesseq(v2, v3) =
% 143.10/19.59 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int]
% 143.10/19.59 | : ( ~ (v5 = 0) & model_ub(v0, v1, v3) = v5))
% 143.10/19.59 | (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: MultipleValueBool] :
% 143.10/19.59 | ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (model_ub(v0, v1, v2) = v3)
% 143.10/19.59 | | ~ (lesseq(v2, v4) = v5) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~
% 143.10/19.59 | $i(v0) | ? [v6: int] : (( ~ (v6 = 0) & minsol_model_ub(v0, v1, v2)
% 143.10/19.59 | = v6) | ( ~ (v6 = 0) & model_ub(v0, v1, v4) = v6)))
% 143.10/19.59 |
% 143.10/19.59 | ALPHA: (function-axioms) implies:
% 143.10/19.59 | (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (summation(v2)
% 143.10/19.59 | = v1) | ~ (summation(v2) = v0))
% 143.10/19.59 | (36) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 143.10/19.59 | : ! [v3: $i] : (v1 = v0 | ~ (lesseq(v3, v2) = v1) | ~ (lesseq(v3,
% 143.10/19.59 | v2) = v0))
% 143.72/19.59 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 143.72/19.59 | (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 143.72/19.59 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 143.72/19.59 | (max(v3, v2) = v1) | ~ (max(v3, v2) = v0))
% 143.72/19.59 | (39) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 143.72/19.59 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_max(v4, v3, v2) =
% 143.72/19.59 | v1) | ~ (model_max(v4, v3, v2) = v0))
% 143.72/19.59 | (40) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 143.72/19.59 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_ub(v4, v3, v2) =
% 143.72/19.59 | v1) | ~ (model_ub(v4, v3, v2) = v0))
% 143.72/19.59 | (41) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 143.72/19.59 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_max(v4, v3,
% 143.72/19.59 | v2) = v1) | ~ (minsol_model_max(v4, v3, v2) = v0))
% 143.72/19.59 | (42) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 143.72/19.59 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_ub(v4, v3,
% 143.72/19.59 | v2) = v1) | ~ (minsol_model_ub(v4, v3, v2) = v0))
% 143.72/19.59 |
% 143.72/19.59 | DELTA: instantiating (max_is_ub_1) with fresh symbols all_17_0, all_17_1,
% 143.72/19.59 | all_17_2, all_17_3, all_17_4 gives:
% 143.72/19.59 | (43) minsol_model_ub(all_17_4, all_17_3, all_17_2) = all_17_1 &
% 143.72/19.59 | minsol_model_max(all_17_4, all_17_3, all_17_2) = all_17_0 &
% 143.72/19.59 | $i(all_17_2) & $i(all_17_3) & $i(all_17_4) & ((all_17_0 = 0 & ~
% 143.72/19.59 | (all_17_1 = 0)) | (all_17_1 = 0 & ~ (all_17_0 = 0)))
% 143.72/19.59 |
% 143.72/19.59 | ALPHA: (43) implies:
% 143.72/19.59 | (44) $i(all_17_4)
% 143.72/19.59 | (45) $i(all_17_3)
% 143.72/19.59 | (46) $i(all_17_2)
% 143.72/19.60 | (47) minsol_model_max(all_17_4, all_17_3, all_17_2) = all_17_0
% 143.72/19.60 | (48) minsol_model_ub(all_17_4, all_17_3, all_17_2) = all_17_1
% 143.72/19.60 | (49) (all_17_0 = 0 & ~ (all_17_1 = 0)) | (all_17_1 = 0 & ~ (all_17_0 =
% 143.72/19.60 | 0))
% 143.72/19.60 |
% 143.72/19.60 | GROUND_INST: instantiating (26) with all_17_4, all_17_3, all_17_2, all_17_0,
% 143.72/19.60 | simplifying with (44), (45), (46), (47) gives:
% 143.72/19.60 | (50) all_17_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3:
% 143.72/19.60 | int] : ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_17_4,
% 143.72/19.60 | all_17_3, v1) = 0 & lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0)
% 143.72/19.60 | & model_max(all_17_4, all_17_3, all_17_2) = v0)))
% 143.72/19.60 |
% 143.72/19.60 | GROUND_INST: instantiating (32) with all_17_4, all_17_3, all_17_2, all_17_1,
% 143.72/19.60 | simplifying with (44), (45), (46), (48) gives:
% 143.72/19.60 | (51) all_17_1 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3:
% 143.72/19.60 | int] : ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_ub(all_17_4,
% 143.72/19.60 | all_17_3, v1) = 0 & lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0)
% 143.72/19.60 | & model_ub(all_17_4, all_17_3, all_17_2) = v0)))
% 143.72/19.60 |
% 143.72/19.60 | BETA: splitting (49) gives:
% 143.72/19.60 |
% 143.72/19.60 | Case 1:
% 143.72/19.60 | |
% 143.72/19.60 | | (52) all_17_0 = 0 & ~ (all_17_1 = 0)
% 143.72/19.60 | |
% 143.72/19.60 | | ALPHA: (52) implies:
% 143.72/19.60 | | (53) all_17_0 = 0
% 143.72/19.60 | | (54) ~ (all_17_1 = 0)
% 143.72/19.60 | |
% 143.72/19.60 | | REDUCE: (47), (53) imply:
% 143.72/19.60 | | (55) minsol_model_max(all_17_4, all_17_3, all_17_2) = 0
% 143.72/19.60 | |
% 143.72/19.60 | | BETA: splitting (51) gives:
% 143.72/19.60 | |
% 143.72/19.60 | | Case 1:
% 143.72/19.60 | | |
% 143.72/19.60 | | | (56) all_17_1 = 0
% 143.72/19.60 | | |
% 143.72/19.60 | | | REDUCE: (54), (56) imply:
% 143.72/19.60 | | | (57) $false
% 143.72/19.60 | | |
% 143.72/19.60 | | | CLOSE: (57) is inconsistent.
% 143.72/19.60 | | |
% 143.72/19.60 | | Case 2:
% 143.72/19.60 | | |
% 143.72/19.60 | | | (58) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ($i(v1)
% 143.72/19.60 | | | & ((v2 = 0 & ~ (v3 = 0) & model_ub(all_17_4, all_17_3, v1) = 0
% 143.72/19.60 | | | & lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0) &
% 143.72/19.60 | | | model_ub(all_17_4, all_17_3, all_17_2) = v0)))
% 143.72/19.60 | | |
% 143.72/19.60 | | | DELTA: instantiating (58) with fresh symbols all_30_0, all_30_1, all_30_2,
% 143.72/19.60 | | | all_30_3 gives:
% 143.72/19.60 | | | (59) $i(all_30_2) & ((all_30_1 = 0 & ~ (all_30_0 = 0) &
% 143.72/19.60 | | | model_ub(all_17_4, all_17_3, all_30_2) = 0 & lesseq(all_17_2,
% 143.72/19.60 | | | all_30_2) = all_30_0) | ( ~ (all_30_3 = 0) &
% 143.72/19.60 | | | model_ub(all_17_4, all_17_3, all_17_2) = all_30_3))
% 143.72/19.60 | | |
% 143.72/19.60 | | | ALPHA: (59) implies:
% 143.72/19.60 | | | (60) $i(all_30_2)
% 143.72/19.60 | | | (61) (all_30_1 = 0 & ~ (all_30_0 = 0) & model_ub(all_17_4, all_17_3,
% 143.72/19.60 | | | all_30_2) = 0 & lesseq(all_17_2, all_30_2) = all_30_0) | ( ~
% 143.72/19.60 | | | (all_30_3 = 0) & model_ub(all_17_4, all_17_3, all_17_2) =
% 143.72/19.60 | | | all_30_3)
% 143.72/19.60 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (23) with all_17_4, all_17_3, all_17_2,
% 143.72/19.61 | | | simplifying with (44), (45), (46), (55) gives:
% 143.72/19.61 | | | (62) model_max(all_17_4, all_17_3, all_17_2) = 0
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (24) with all_17_4, all_17_3, all_17_2,
% 143.72/19.61 | | | all_17_2, simplifying with (44), (45), (46), (55), (62)
% 143.72/19.61 | | | gives:
% 143.72/19.61 | | | (63) lesseq(all_17_2, all_17_2) = 0
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (14) with all_17_4, all_17_3, all_17_2,
% 143.72/19.61 | | | simplifying with (44), (45), (46), (62) gives:
% 143.72/19.61 | | | (64) ? [v0: $i] : ? [v1: $i] : (max(all_17_4, all_17_3) = v0 & sum(c,
% 143.72/19.61 | | | v0) = v1 & lesseq(v1, all_17_2) = 0 & $i(v1) & $i(v0))
% 143.72/19.61 | | |
% 143.72/19.61 | | | DELTA: instantiating (64) with fresh symbols all_45_0, all_45_1 gives:
% 143.72/19.61 | | | (65) max(all_17_4, all_17_3) = all_45_1 & sum(c, all_45_1) = all_45_0 &
% 143.72/19.61 | | | lesseq(all_45_0, all_17_2) = 0 & $i(all_45_0) & $i(all_45_1)
% 143.72/19.61 | | |
% 143.72/19.61 | | | ALPHA: (65) implies:
% 143.72/19.61 | | | (66) $i(all_45_1)
% 143.72/19.61 | | | (67) $i(all_45_0)
% 143.72/19.61 | | | (68) lesseq(all_45_0, all_17_2) = 0
% 143.72/19.61 | | | (69) sum(c, all_45_1) = all_45_0
% 143.72/19.61 | | | (70) max(all_17_4, all_17_3) = all_45_1
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_2, simplifying with
% 143.72/19.61 | | | (46), (63) gives:
% 143.72/19.61 | | | (71) ? [v0: $i] : ? [v1: $i] : (summation(all_17_2) = v1 &
% 143.72/19.61 | | | summation(all_17_2) = v0 & lesseq(v0, v1) = 0 & $i(v1) & $i(v0))
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (10) with all_45_0, all_17_2, simplifying with
% 143.72/19.61 | | | (46), (67), (68) gives:
% 143.72/19.61 | | | (72) max(all_45_0, all_17_2) = all_17_2
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (5) with all_45_0, all_17_2, simplifying with
% 143.72/19.61 | | | (46), (67), (68) gives:
% 143.72/19.61 | | | (73) ? [v0: $i] : ? [v1: $i] : (summation(all_45_0) = v0 &
% 143.72/19.61 | | | summation(all_17_2) = v1 & lesseq(v0, v1) = 0 & $i(v1) & $i(v0))
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (11) with all_17_4, all_17_3, all_45_1,
% 143.72/19.61 | | | simplifying with (44), (45), (70) gives:
% 143.72/19.61 | | | (74) all_45_1 = all_17_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.61 | | | lesseq(all_17_4, all_17_3) = v0)
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (9) with all_17_4, all_17_3, all_45_1,
% 143.72/19.61 | | | simplifying with (44), (45), (70) gives:
% 143.72/19.61 | | | (75) all_45_1 = all_17_4 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.61 | | | lesseq(all_17_3, all_17_4) = v0)
% 143.72/19.61 | | |
% 143.72/19.61 | | | DELTA: instantiating (73) with fresh symbols all_59_0, all_59_1 gives:
% 143.72/19.61 | | | (76) summation(all_45_0) = all_59_1 & summation(all_17_2) = all_59_0 &
% 143.72/19.61 | | | lesseq(all_59_1, all_59_0) = 0 & $i(all_59_0) & $i(all_59_1)
% 143.72/19.61 | | |
% 143.72/19.61 | | | ALPHA: (76) implies:
% 143.72/19.61 | | | (77) $i(all_59_1)
% 143.72/19.61 | | | (78) lesseq(all_59_1, all_59_0) = 0
% 143.72/19.61 | | | (79) summation(all_17_2) = all_59_0
% 143.72/19.61 | | | (80) summation(all_45_0) = all_59_1
% 143.72/19.61 | | |
% 143.72/19.61 | | | DELTA: instantiating (71) with fresh symbols all_61_0, all_61_1 gives:
% 143.72/19.61 | | | (81) summation(all_17_2) = all_61_0 & summation(all_17_2) = all_61_1 &
% 143.72/19.61 | | | lesseq(all_61_1, all_61_0) = 0 & $i(all_61_0) & $i(all_61_1)
% 143.72/19.61 | | |
% 143.72/19.61 | | | ALPHA: (81) implies:
% 143.72/19.61 | | | (82) $i(all_61_1)
% 143.72/19.61 | | | (83) lesseq(all_61_1, all_61_0) = 0
% 143.72/19.61 | | | (84) summation(all_17_2) = all_61_1
% 143.72/19.61 | | | (85) summation(all_17_2) = all_61_0
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (35) with all_61_1, all_61_0, all_17_2,
% 143.72/19.61 | | | simplifying with (84), (85) gives:
% 143.72/19.61 | | | (86) all_61_0 = all_61_1
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (35) with all_59_0, all_61_0, all_17_2,
% 143.72/19.61 | | | simplifying with (79), (85) gives:
% 143.72/19.61 | | | (87) all_61_0 = all_59_0
% 143.72/19.61 | | |
% 143.72/19.61 | | | COMBINE_EQS: (86), (87) imply:
% 143.72/19.61 | | | (88) all_61_1 = all_59_0
% 143.72/19.61 | | |
% 143.72/19.61 | | | SIMP: (88) implies:
% 143.72/19.61 | | | (89) all_61_1 = all_59_0
% 143.72/19.61 | | |
% 143.72/19.61 | | | REDUCE: (83), (87), (89) imply:
% 143.72/19.61 | | | (90) lesseq(all_59_0, all_59_0) = 0
% 143.72/19.61 | | |
% 143.72/19.61 | | | REDUCE: (82), (89) imply:
% 143.72/19.61 | | | (91) $i(all_59_0)
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (5) with all_59_1, all_59_0, simplifying with
% 143.72/19.61 | | | (77), (78), (91) gives:
% 143.72/19.61 | | | (92) ? [v0: $i] : ? [v1: $i] : (summation(all_59_0) = v1 &
% 143.72/19.61 | | | summation(all_59_1) = v0 & lesseq(v0, v1) = 0 & $i(v1) & $i(v0))
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (5) with all_59_0, all_59_0, simplifying with
% 143.72/19.61 | | | (90), (91) gives:
% 143.72/19.61 | | | (93) ? [v0: $i] : ? [v1: $i] : (summation(all_59_0) = v1 &
% 143.72/19.61 | | | summation(all_59_0) = v0 & lesseq(v0, v1) = 0 & $i(v1) & $i(v0))
% 143.72/19.61 | | |
% 143.72/19.61 | | | GROUND_INST: instantiating (9) with all_45_0, all_17_2, all_17_2,
% 143.72/19.61 | | | simplifying with (46), (67), (72) gives:
% 143.72/19.61 | | | (94) all_45_0 = all_17_2 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.61 | | | lesseq(all_17_2, all_45_0) = v0)
% 143.72/19.61 | | |
% 143.72/19.61 | | | DELTA: instantiating (93) with fresh symbols all_73_0, all_73_1 gives:
% 143.72/19.62 | | | (95) summation(all_59_0) = all_73_0 & summation(all_59_0) = all_73_1 &
% 143.72/19.62 | | | lesseq(all_73_1, all_73_0) = 0 & $i(all_73_0) & $i(all_73_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (95) implies:
% 143.72/19.62 | | | (96) $i(all_73_0)
% 143.72/19.62 | | | (97) lesseq(all_73_1, all_73_0) = 0
% 143.72/19.62 | | | (98) summation(all_59_0) = all_73_1
% 143.72/19.62 | | | (99) summation(all_59_0) = all_73_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | DELTA: instantiating (92) with fresh symbols all_75_0, all_75_1 gives:
% 143.72/19.62 | | | (100) summation(all_59_0) = all_75_0 & summation(all_59_1) = all_75_1 &
% 143.72/19.62 | | | lesseq(all_75_1, all_75_0) = 0 & $i(all_75_0) & $i(all_75_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (100) implies:
% 143.72/19.62 | | | (101) $i(all_75_1)
% 143.72/19.62 | | | (102) lesseq(all_75_1, all_75_0) = 0
% 143.72/19.62 | | | (103) summation(all_59_1) = all_75_1
% 143.72/19.62 | | | (104) summation(all_59_0) = all_75_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (35) with all_73_0, all_75_0, all_59_0,
% 143.72/19.62 | | | simplifying with (99), (104) gives:
% 143.72/19.62 | | | (105) all_75_0 = all_73_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (35) with all_73_1, all_75_0, all_59_0,
% 143.72/19.62 | | | simplifying with (98), (104) gives:
% 143.72/19.62 | | | (106) all_75_0 = all_73_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | COMBINE_EQS: (105), (106) imply:
% 143.72/19.62 | | | (107) all_73_0 = all_73_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | SIMP: (107) implies:
% 143.72/19.62 | | | (108) all_73_0 = all_73_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (102), (106) imply:
% 143.72/19.62 | | | (109) lesseq(all_75_1, all_73_1) = 0
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (97), (108) imply:
% 143.72/19.62 | | | (110) lesseq(all_73_1, all_73_1) = 0
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (96), (108) imply:
% 143.72/19.62 | | | (111) $i(all_73_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (5) with all_73_1, all_73_1, simplifying with
% 143.72/19.62 | | | (110), (111) gives:
% 143.72/19.62 | | | (112) ? [v0: $i] : ? [v1: $i] : (summation(all_73_1) = v1 &
% 143.72/19.62 | | | summation(all_73_1) = v0 & lesseq(v0, v1) = 0 & $i(v1) &
% 143.72/19.62 | | | $i(v0))
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (10) with all_75_1, all_73_1, simplifying with
% 143.72/19.62 | | | (101), (109), (111) gives:
% 143.72/19.62 | | | (113) max(all_75_1, all_73_1) = all_73_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (5) with all_75_1, all_73_1, simplifying with
% 143.72/19.62 | | | (101), (109), (111) gives:
% 143.72/19.62 | | | (114) ? [v0: $i] : ? [v1: $i] : (summation(all_75_1) = v0 &
% 143.72/19.62 | | | summation(all_73_1) = v1 & lesseq(v0, v1) = 0 & $i(v1) &
% 143.72/19.62 | | | $i(v0))
% 143.72/19.62 | | |
% 143.72/19.62 | | | DELTA: instantiating (112) with fresh symbols all_87_0, all_87_1 gives:
% 143.72/19.62 | | | (115) summation(all_73_1) = all_87_0 & summation(all_73_1) = all_87_1 &
% 143.72/19.62 | | | lesseq(all_87_1, all_87_0) = 0 & $i(all_87_0) & $i(all_87_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (115) implies:
% 143.72/19.62 | | | (116) $i(all_87_0)
% 143.72/19.62 | | | (117) lesseq(all_87_1, all_87_0) = 0
% 143.72/19.62 | | | (118) summation(all_73_1) = all_87_1
% 143.72/19.62 | | | (119) summation(all_73_1) = all_87_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | DELTA: instantiating (114) with fresh symbols all_89_0, all_89_1 gives:
% 143.72/19.62 | | | (120) summation(all_75_1) = all_89_1 & summation(all_73_1) = all_89_0 &
% 143.72/19.62 | | | lesseq(all_89_1, all_89_0) = 0 & $i(all_89_0) & $i(all_89_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (120) implies:
% 143.72/19.62 | | | (121) $i(all_89_1)
% 143.72/19.62 | | | (122) lesseq(all_89_1, all_89_0) = 0
% 143.72/19.62 | | | (123) summation(all_73_1) = all_89_0
% 143.72/19.62 | | | (124) summation(all_75_1) = all_89_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (35) with all_87_0, all_89_0, all_73_1,
% 143.72/19.62 | | | simplifying with (119), (123) gives:
% 143.72/19.62 | | | (125) all_89_0 = all_87_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (35) with all_87_1, all_89_0, all_73_1,
% 143.72/19.62 | | | simplifying with (118), (123) gives:
% 143.72/19.62 | | | (126) all_89_0 = all_87_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | COMBINE_EQS: (125), (126) imply:
% 143.72/19.62 | | | (127) all_87_0 = all_87_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | SIMP: (127) implies:
% 143.72/19.62 | | | (128) all_87_0 = all_87_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (122), (126) imply:
% 143.72/19.62 | | | (129) lesseq(all_89_1, all_87_1) = 0
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (117), (128) imply:
% 143.72/19.62 | | | (130) lesseq(all_87_1, all_87_1) = 0
% 143.72/19.62 | | |
% 143.72/19.62 | | | REDUCE: (116), (128) imply:
% 143.72/19.62 | | | (131) $i(all_87_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (5) with all_87_1, all_87_1, simplifying with
% 143.72/19.62 | | | (130), (131) gives:
% 143.72/19.62 | | | (132) ? [v0: $i] : ? [v1: $i] : (summation(all_87_1) = v1 &
% 143.72/19.62 | | | summation(all_87_1) = v0 & lesseq(v0, v1) = 0 & $i(v1) &
% 143.72/19.62 | | | $i(v0))
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (10) with all_89_1, all_87_1, simplifying with
% 143.72/19.62 | | | (121), (129), (131) gives:
% 143.72/19.62 | | | (133) max(all_89_1, all_87_1) = all_87_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (5) with all_89_1, all_87_1, simplifying with
% 143.72/19.62 | | | (121), (129), (131) gives:
% 143.72/19.62 | | | (134) ? [v0: $i] : ? [v1: $i] : (summation(all_89_1) = v0 &
% 143.72/19.62 | | | summation(all_87_1) = v1 & lesseq(v0, v1) = 0 & $i(v1) &
% 143.72/19.62 | | | $i(v0))
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (9) with all_75_1, all_73_1, all_73_1,
% 143.72/19.62 | | | simplifying with (101), (111), (113) gives:
% 143.72/19.62 | | | (135) all_75_1 = all_73_1 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.62 | | | lesseq(all_73_1, all_75_1) = v0)
% 143.72/19.62 | | |
% 143.72/19.62 | | | DELTA: instantiating (132) with fresh symbols all_101_0, all_101_1 gives:
% 143.72/19.62 | | | (136) summation(all_87_1) = all_101_0 & summation(all_87_1) = all_101_1
% 143.72/19.62 | | | & lesseq(all_101_1, all_101_0) = 0 & $i(all_101_0) &
% 143.72/19.62 | | | $i(all_101_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (136) implies:
% 143.72/19.62 | | | (137) $i(all_101_0)
% 143.72/19.62 | | | (138) summation(all_87_1) = all_101_1
% 143.72/19.62 | | | (139) summation(all_87_1) = all_101_0
% 143.72/19.62 | | |
% 143.72/19.62 | | | DELTA: instantiating (134) with fresh symbols all_103_0, all_103_1 gives:
% 143.72/19.62 | | | (140) summation(all_89_1) = all_103_1 & summation(all_87_1) = all_103_0
% 143.72/19.62 | | | & lesseq(all_103_1, all_103_0) = 0 & $i(all_103_0) &
% 143.72/19.62 | | | $i(all_103_1)
% 143.72/19.62 | | |
% 143.72/19.62 | | | ALPHA: (140) implies:
% 143.72/19.62 | | | (141) $i(all_103_1)
% 143.72/19.62 | | | (142) lesseq(all_103_1, all_103_0) = 0
% 143.72/19.62 | | | (143) summation(all_87_1) = all_103_0
% 143.72/19.62 | | | (144) summation(all_89_1) = all_103_1
% 143.72/19.62 | | |
% 143.72/19.62 | | | GROUND_INST: instantiating (35) with all_101_0, all_103_0, all_87_1,
% 143.72/19.63 | | | simplifying with (139), (143) gives:
% 143.72/19.63 | | | (145) all_103_0 = all_101_0
% 143.72/19.63 | | |
% 143.72/19.63 | | | GROUND_INST: instantiating (35) with all_101_1, all_103_0, all_87_1,
% 143.72/19.63 | | | simplifying with (138), (143) gives:
% 143.72/19.63 | | | (146) all_103_0 = all_101_1
% 143.72/19.63 | | |
% 143.72/19.63 | | | COMBINE_EQS: (145), (146) imply:
% 143.72/19.63 | | | (147) all_101_0 = all_101_1
% 143.72/19.63 | | |
% 143.72/19.63 | | | SIMP: (147) implies:
% 143.72/19.63 | | | (148) all_101_0 = all_101_1
% 143.72/19.63 | | |
% 143.72/19.63 | | | REDUCE: (142), (146) imply:
% 143.72/19.63 | | | (149) lesseq(all_103_1, all_101_1) = 0
% 143.72/19.63 | | |
% 143.72/19.63 | | | REDUCE: (137), (148) imply:
% 143.72/19.63 | | | (150) $i(all_101_1)
% 143.72/19.63 | | |
% 143.72/19.63 | | | GROUND_INST: instantiating (10) with all_103_1, all_101_1, simplifying
% 143.72/19.63 | | | with (141), (149), (150) gives:
% 143.72/19.63 | | | (151) max(all_103_1, all_101_1) = all_101_1
% 143.72/19.63 | | |
% 143.72/19.63 | | | GROUND_INST: instantiating (9) with all_89_1, all_87_1, all_87_1,
% 143.72/19.63 | | | simplifying with (121), (131), (133) gives:
% 143.72/19.63 | | | (152) all_89_1 = all_87_1 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.63 | | | lesseq(all_87_1, all_89_1) = v0)
% 143.72/19.63 | | |
% 143.72/19.63 | | | GROUND_INST: instantiating (9) with all_103_1, all_101_1, all_101_1,
% 143.72/19.63 | | | simplifying with (141), (150), (151) gives:
% 143.72/19.63 | | | (153) all_103_1 = all_101_1 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.63 | | | lesseq(all_101_1, all_103_1) = v0)
% 143.72/19.63 | | |
% 143.72/19.63 | | | BETA: splitting (61) gives:
% 143.72/19.63 | | |
% 143.72/19.63 | | | Case 1:
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | (154) all_30_1 = 0 & ~ (all_30_0 = 0) & model_ub(all_17_4, all_17_3,
% 143.72/19.63 | | | | all_30_2) = 0 & lesseq(all_17_2, all_30_2) = all_30_0
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | ALPHA: (154) implies:
% 143.72/19.63 | | | | (155) ~ (all_30_0 = 0)
% 143.72/19.63 | | | | (156) lesseq(all_17_2, all_30_2) = all_30_0
% 143.72/19.63 | | | | (157) model_ub(all_17_4, all_17_3, all_30_2) = 0
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | GROUND_INST: instantiating (29) with all_17_4, all_17_3, all_17_2, 0,
% 143.72/19.63 | | | | all_30_2, all_30_0, simplifying with (44), (45), (46),
% 143.72/19.63 | | | | (60), (62), (156) gives:
% 143.72/19.63 | | | | (158) all_30_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 143.72/19.63 | | | | minsol_model_max(all_17_4, all_17_3, all_17_2) = v0) | ( ~
% 143.72/19.63 | | | | (v0 = 0) & model_max(all_17_4, all_17_3, all_30_2) = v0))
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | GROUND_INST: instantiating (28) with all_17_4, all_17_3, all_17_2,
% 143.72/19.63 | | | | all_30_2, all_30_0, simplifying with (44), (45), (46),
% 143.72/19.63 | | | | (55), (60), (156) gives:
% 143.72/19.63 | | | | (159) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.63 | | | | model_max(all_17_4, all_17_3, all_30_2) = v0)
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | GROUND_INST: instantiating (2) with all_30_2, all_17_2, all_30_0,
% 143.72/19.63 | | | | simplifying with (46), (60), (156) gives:
% 143.72/19.63 | | | | (160) all_30_0 = 0 | lesseq(all_30_2, all_17_2) = 0
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | GROUND_INST: instantiating (6) with all_17_2, all_30_2, all_30_0,
% 143.72/19.63 | | | | simplifying with (46), (60), (156) gives:
% 143.72/19.63 | | | | (161) all_30_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~
% 143.72/19.63 | | | | (v2 = 0) & summation(all_30_2) = v1 & summation(all_17_2) =
% 143.72/19.63 | | | | v0 & lesseq(v0, v1) = v2 & $i(v1) & $i(v0))
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | GROUND_INST: instantiating (19) with all_17_4, all_17_3, all_30_2,
% 143.72/19.63 | | | | simplifying with (44), (45), (60), (157) gives:
% 143.72/19.63 | | | | (162) ? [v0: $i] : ? [v1: $i] : (ub(all_17_4, all_17_3, v0) = 0 &
% 143.72/19.63 | | | | sum(c, v0) = v1 & lesseq(v1, all_30_2) = 0 & $i(v1) & $i(v0))
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | DELTA: instantiating (162) with fresh symbols all_164_0, all_164_1
% 143.72/19.63 | | | | gives:
% 143.72/19.63 | | | | (163) ub(all_17_4, all_17_3, all_164_1) = 0 & sum(c, all_164_1) =
% 143.72/19.63 | | | | all_164_0 & lesseq(all_164_0, all_30_2) = 0 & $i(all_164_0) &
% 143.72/19.63 | | | | $i(all_164_1)
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | ALPHA: (163) implies:
% 143.72/19.63 | | | | (164) $i(all_164_1)
% 143.72/19.63 | | | | (165) $i(all_164_0)
% 143.72/19.63 | | | | (166) lesseq(all_164_0, all_30_2) = 0
% 143.72/19.63 | | | | (167) sum(c, all_164_1) = all_164_0
% 143.72/19.63 | | | | (168) ub(all_17_4, all_17_3, all_164_1) = 0
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | BETA: splitting (160) gives:
% 143.72/19.63 | | | |
% 143.72/19.63 | | | | Case 1:
% 143.72/19.63 | | | | |
% 143.72/19.63 | | | | | (169) lesseq(all_30_2, all_17_2) = 0
% 143.72/19.63 | | | | |
% 143.72/19.63 | | | | | BETA: splitting (161) gives:
% 143.72/19.63 | | | | |
% 143.72/19.63 | | | | | Case 1:
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | (170) all_30_0 = 0
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | REDUCE: (155), (170) imply:
% 143.72/19.63 | | | | | | (171) $false
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | CLOSE: (171) is inconsistent.
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | Case 2:
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | (172) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 143.72/19.63 | | | | | | summation(all_30_2) = v1 & summation(all_17_2) = v0 &
% 143.72/19.63 | | | | | | lesseq(v0, v1) = v2 & $i(v1) & $i(v0))
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | DELTA: instantiating (172) with fresh symbols all_179_0, all_179_1,
% 143.72/19.63 | | | | | | all_179_2 gives:
% 143.72/19.63 | | | | | | (173) ~ (all_179_0 = 0) & summation(all_30_2) = all_179_1 &
% 143.72/19.63 | | | | | | summation(all_17_2) = all_179_2 & lesseq(all_179_2,
% 143.72/19.63 | | | | | | all_179_1) = all_179_0 & $i(all_179_1) & $i(all_179_2)
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | ALPHA: (173) implies:
% 143.72/19.63 | | | | | | (174) ~ (all_179_0 = 0)
% 143.72/19.63 | | | | | | (175) $i(all_179_2)
% 143.72/19.63 | | | | | | (176) $i(all_179_1)
% 143.72/19.63 | | | | | | (177) lesseq(all_179_2, all_179_1) = all_179_0
% 143.72/19.63 | | | | | | (178) summation(all_17_2) = all_179_2
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | BETA: splitting (159) gives:
% 143.72/19.63 | | | | | |
% 143.72/19.63 | | | | | | Case 1:
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | (179) all_30_0 = 0
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | REDUCE: (155), (179) imply:
% 143.72/19.63 | | | | | | | (180) $false
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | CLOSE: (180) is inconsistent.
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | Case 2:
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | (181) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4,
% 143.72/19.63 | | | | | | | all_17_3, all_30_2) = v0)
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | DELTA: instantiating (181) with fresh symbol all_184_0 gives:
% 143.72/19.63 | | | | | | | (182) ~ (all_184_0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.63 | | | | | | | all_30_2) = all_184_0
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | ALPHA: (182) implies:
% 143.72/19.63 | | | | | | | (183) model_max(all_17_4, all_17_3, all_30_2) = all_184_0
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | BETA: splitting (158) gives:
% 143.72/19.63 | | | | | | |
% 143.72/19.63 | | | | | | | Case 1:
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | | (184) all_30_0 = 0
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | | REDUCE: (155), (184) imply:
% 143.72/19.63 | | | | | | | | (185) $false
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | | CLOSE: (185) is inconsistent.
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | Case 2:
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | | (186) ? [v0: int] : (( ~ (v0 = 0) &
% 143.72/19.63 | | | | | | | | minsol_model_max(all_17_4, all_17_3, all_17_2) =
% 143.72/19.63 | | | | | | | | v0) | ( ~ (v0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.63 | | | | | | | | all_30_2) = v0))
% 143.72/19.63 | | | | | | | |
% 143.72/19.63 | | | | | | | | DELTA: instantiating (186) with fresh symbol all_189_0 gives:
% 143.72/19.64 | | | | | | | | (187) ( ~ (all_189_0 = 0) & minsol_model_max(all_17_4,
% 143.72/19.64 | | | | | | | | all_17_3, all_17_2) = all_189_0) | ( ~ (all_189_0 =
% 143.72/19.64 | | | | | | | | 0) & model_max(all_17_4, all_17_3, all_30_2) =
% 143.72/19.64 | | | | | | | | all_189_0)
% 143.72/19.64 | | | | | | | |
% 143.72/19.64 | | | | | | | | BETA: splitting (187) gives:
% 143.72/19.64 | | | | | | | |
% 143.72/19.64 | | | | | | | | Case 1:
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | (188) ~ (all_189_0 = 0) & minsol_model_max(all_17_4,
% 143.72/19.64 | | | | | | | | | all_17_3, all_17_2) = all_189_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | ALPHA: (188) implies:
% 143.72/19.64 | | | | | | | | | (189) ~ (all_189_0 = 0)
% 143.72/19.64 | | | | | | | | | (190) minsol_model_max(all_17_4, all_17_3, all_17_2) =
% 143.72/19.64 | | | | | | | | | all_189_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_189_0, all_17_2,
% 143.72/19.64 | | | | | | | | | all_17_3, all_17_4, simplifying with (55), (190)
% 143.72/19.64 | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | (191) all_189_0 = 0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | REDUCE: (189), (191) imply:
% 143.72/19.64 | | | | | | | | | (192) $false
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | CLOSE: (192) is inconsistent.
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | Case 2:
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | (193) ~ (all_189_0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.64 | | | | | | | | | all_30_2) = all_189_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | ALPHA: (193) implies:
% 143.72/19.64 | | | | | | | | | (194) ~ (all_189_0 = 0)
% 143.72/19.64 | | | | | | | | | (195) model_max(all_17_4, all_17_3, all_30_2) = all_189_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | GROUND_INST: instantiating (35) with all_59_0, all_179_2,
% 143.72/19.64 | | | | | | | | | all_17_2, simplifying with (79), (178) gives:
% 143.72/19.64 | | | | | | | | | (196) all_179_2 = all_59_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | GROUND_INST: instantiating (39) with all_184_0, all_189_0,
% 143.72/19.64 | | | | | | | | | all_30_2, all_17_3, all_17_4, simplifying with
% 143.72/19.64 | | | | | | | | | (183), (195) gives:
% 143.72/19.64 | | | | | | | | | (197) all_189_0 = all_184_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | REDUCE: (194), (197) imply:
% 143.72/19.64 | | | | | | | | | (198) ~ (all_184_0 = 0)
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | REDUCE: (177), (196) imply:
% 143.72/19.64 | | | | | | | | | (199) lesseq(all_59_0, all_179_1) = all_179_0
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | BETA: splitting (74) gives:
% 143.72/19.64 | | | | | | | | |
% 143.72/19.64 | | | | | | | | | Case 1:
% 143.72/19.64 | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | (200) all_45_1 = all_17_3
% 143.72/19.64 | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | REDUCE: (70), (200) imply:
% 143.72/19.64 | | | | | | | | | | (201) max(all_17_4, all_17_3) = all_17_3
% 143.72/19.64 | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | REDUCE: (69), (200) imply:
% 143.72/19.64 | | | | | | | | | | (202) sum(c, all_17_3) = all_45_0
% 143.72/19.64 | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | BETA: splitting (94) gives:
% 143.72/19.64 | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | Case 1:
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | (203) all_45_0 = all_17_2
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | REDUCE: (202), (203) imply:
% 143.72/19.64 | | | | | | | | | | | (204) sum(c, all_17_3) = all_17_2
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (1) with all_17_2, all_164_0,
% 143.72/19.64 | | | | | | | | | | | all_30_2, all_30_0, simplifying with (46), (60),
% 143.72/19.64 | | | | | | | | | | | (156), (165), (166) gives:
% 143.72/19.64 | | | | | | | | | | | (205) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.64 | | | | | | | | | | | lesseq(all_17_2, all_164_0) = v0)
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (12) with all_17_4, all_17_3,
% 143.72/19.64 | | | | | | | | | | | all_164_1, simplifying with (44), (45), (164),
% 143.72/19.64 | | | | | | | | | | | (168) gives:
% 143.72/19.64 | | | | | | | | | | | (206) lesseq(all_17_3, all_164_1) = 0 & lesseq(all_17_4,
% 143.72/19.64 | | | | | | | | | | | all_164_1) = 0
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | ALPHA: (206) implies:
% 143.72/19.64 | | | | | | | | | | | (207) lesseq(all_17_3, all_164_1) = 0
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | BETA: splitting (205) gives:
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | Case 1:
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | (208) all_30_0 = 0
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | REDUCE: (155), (208) imply:
% 143.72/19.64 | | | | | | | | | | | | (209) $false
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | Case 2:
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | (210) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 143.72/19.64 | | | | | | | | | | | | all_164_0) = v0)
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | DELTA: instantiating (210) with fresh symbol all_279_0
% 143.72/19.64 | | | | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | | | | (211) ~ (all_279_0 = 0) & lesseq(all_17_2, all_164_0) =
% 143.72/19.64 | | | | | | | | | | | | all_279_0
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | ALPHA: (211) implies:
% 143.72/19.64 | | | | | | | | | | | | (212) ~ (all_279_0 = 0)
% 143.72/19.64 | | | | | | | | | | | | (213) lesseq(all_17_2, all_164_0) = all_279_0
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_17_3, all_164_1, c,
% 143.72/19.64 | | | | | | | | | | | | all_17_2, all_164_0, all_279_0, simplifying with
% 143.72/19.64 | | | | | | | | | | | | (18), (45), (164), (167), (204), (213) gives:
% 143.72/19.64 | | | | | | | | | | | | (214) all_279_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.64 | | | | | | | | | | | | lesseq(all_17_3, all_164_1) = v0)
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | BETA: splitting (214) gives:
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | Case 1:
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | (215) all_279_0 = 0
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | REDUCE: (212), (215) imply:
% 143.72/19.64 | | | | | | | | | | | | | (216) $false
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | Case 2:
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | (217) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3,
% 143.72/19.64 | | | | | | | | | | | | | all_164_1) = v0)
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | DELTA: instantiating (217) with fresh symbol all_317_0
% 143.72/19.64 | | | | | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | | | | | (218) ~ (all_317_0 = 0) & lesseq(all_17_3, all_164_1) =
% 143.72/19.64 | | | | | | | | | | | | | all_317_0
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | ALPHA: (218) implies:
% 143.72/19.64 | | | | | | | | | | | | | (219) ~ (all_317_0 = 0)
% 143.72/19.64 | | | | | | | | | | | | | (220) lesseq(all_17_3, all_164_1) = all_317_0
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_317_0, all_164_1,
% 143.72/19.64 | | | | | | | | | | | | | all_17_3, simplifying with (207), (220) gives:
% 143.72/19.64 | | | | | | | | | | | | | (221) all_317_0 = 0
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | REDUCE: (219), (221) imply:
% 143.72/19.64 | | | | | | | | | | | | | (222) $false
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 143.72/19.64 | | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | | End of split
% 143.72/19.64 | | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | End of split
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | Case 2:
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | (223) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 143.72/19.64 | | | | | | | | | | | all_45_0) = v0)
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | DELTA: instantiating (223) with fresh symbol all_216_0
% 143.72/19.64 | | | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | | | (224) ~ (all_216_0 = 0) & lesseq(all_17_2, all_45_0) =
% 143.72/19.64 | | | | | | | | | | | all_216_0
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | ALPHA: (224) implies:
% 143.72/19.64 | | | | | | | | | | | (225) ~ (all_216_0 = 0)
% 143.72/19.64 | | | | | | | | | | | (226) lesseq(all_17_2, all_45_0) = all_216_0
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (29) with all_17_4, all_17_3,
% 143.72/19.64 | | | | | | | | | | | all_17_2, 0, all_45_0, all_216_0, simplifying with
% 143.72/19.64 | | | | | | | | | | | (44), (45), (46), (62), (67), (226) gives:
% 143.72/19.64 | | | | | | | | | | | (227) all_216_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 143.72/19.64 | | | | | | | | | | | minsol_model_max(all_17_4, all_17_3, all_17_2)
% 143.72/19.64 | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_max(all_17_4,
% 143.72/19.64 | | | | | | | | | | | all_17_3, all_45_0) = v0))
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_17_4, all_17_3,
% 143.72/19.64 | | | | | | | | | | | all_17_2, all_45_0, all_216_0, simplifying with
% 143.72/19.64 | | | | | | | | | | | (44), (45), (46), (55), (67), (226) gives:
% 143.72/19.64 | | | | | | | | | | | (228) all_216_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 143.72/19.64 | | | | | | | | | | | model_max(all_17_4, all_17_3, all_45_0) = v0)
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (6) with all_17_2, all_45_0,
% 143.72/19.64 | | | | | | | | | | | all_216_0, simplifying with (46), (67), (226)
% 143.72/19.64 | | | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | | | (229) all_216_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 143.72/19.64 | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & summation(all_45_0) =
% 143.72/19.64 | | | | | | | | | | | v1 & summation(all_17_2) = v0 & lesseq(v0, v1) =
% 143.72/19.64 | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (5) with all_30_2, all_17_2,
% 143.72/19.64 | | | | | | | | | | | simplifying with (46), (60), (169) gives:
% 143.72/19.64 | | | | | | | | | | | (230) ? [v0: $i] : ? [v1: $i] : (summation(all_30_2) =
% 143.72/19.64 | | | | | | | | | | | v0 & summation(all_17_2) = v1 & lesseq(v0, v1) =
% 143.72/19.64 | | | | | | | | | | | 0 & $i(v1) & $i(v0))
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (6) with all_59_0, all_179_1,
% 143.72/19.64 | | | | | | | | | | | all_179_0, simplifying with (91), (176), (199)
% 143.72/19.64 | | | | | | | | | | | gives:
% 143.72/19.64 | | | | | | | | | | | (231) all_179_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 143.72/19.64 | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & summation(all_179_1) =
% 143.72/19.64 | | | | | | | | | | | v1 & summation(all_59_0) = v0 & lesseq(v0, v1) =
% 143.72/19.64 | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 143.72/19.64 | | | | | | | | | | |
% 143.72/19.64 | | | | | | | | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3,
% 143.72/19.64 | | | | | | | | | | | all_30_2, all_184_0, simplifying with (44), (45),
% 143.72/19.64 | | | | | | | | | | | (60), (183) gives:
% 143.72/19.65 | | | | | | | | | | | (232) all_184_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 143.72/19.65 | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & max(all_17_4, all_17_3)
% 143.72/19.65 | | | | | | | | | | | = v0 & sum(c, v0) = v1 & lesseq(v1, all_30_2) =
% 143.72/19.65 | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 143.72/19.65 | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | DELTA: instantiating (230) with fresh symbols all_229_0,
% 143.72/19.65 | | | | | | | | | | | all_229_1 gives:
% 143.72/19.65 | | | | | | | | | | | (233) summation(all_30_2) = all_229_1 &
% 143.72/19.65 | | | | | | | | | | | summation(all_17_2) = all_229_0 &
% 143.72/19.65 | | | | | | | | | | | lesseq(all_229_1, all_229_0) = 0 & $i(all_229_0) &
% 143.72/19.65 | | | | | | | | | | | $i(all_229_1)
% 143.72/19.65 | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | ALPHA: (233) implies:
% 143.72/19.65 | | | | | | | | | | | (234) $i(all_229_0)
% 143.72/19.65 | | | | | | | | | | | (235) summation(all_17_2) = all_229_0
% 143.72/19.65 | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | BETA: splitting (232) gives:
% 143.72/19.65 | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | (236) all_184_0 = 0
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | REDUCE: (198), (236) imply:
% 143.72/19.65 | | | | | | | | | | | | (237) $false
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | (238) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 143.72/19.65 | | | | | | | | | | | | = 0) & max(all_17_4, all_17_3) = v0 & sum(c,
% 143.72/19.65 | | | | | | | | | | | | v0) = v1 & lesseq(v1, all_30_2) = v2 & $i(v1)
% 143.72/19.65 | | | | | | | | | | | | & $i(v0))
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | DELTA: instantiating (238) with fresh symbols all_240_0,
% 143.72/19.65 | | | | | | | | | | | | all_240_1, all_240_2 gives:
% 143.72/19.65 | | | | | | | | | | | | (239) ~ (all_240_0 = 0) & max(all_17_4, all_17_3) =
% 143.72/19.65 | | | | | | | | | | | | all_240_2 & sum(c, all_240_2) = all_240_1 &
% 143.72/19.65 | | | | | | | | | | | | lesseq(all_240_1, all_30_2) = all_240_0 &
% 143.72/19.65 | | | | | | | | | | | | $i(all_240_1) & $i(all_240_2)
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | ALPHA: (239) implies:
% 143.72/19.65 | | | | | | | | | | | | (240) $i(all_240_2)
% 143.72/19.65 | | | | | | | | | | | | (241) $i(all_240_1)
% 143.72/19.65 | | | | | | | | | | | | (242) sum(c, all_240_2) = all_240_1
% 143.72/19.65 | | | | | | | | | | | | (243) max(all_17_4, all_17_3) = all_240_2
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | BETA: splitting (229) gives:
% 143.72/19.65 | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | (244) all_216_0 = 0
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | REDUCE: (225), (244) imply:
% 143.72/19.65 | | | | | | | | | | | | | (245) $false
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | CLOSE: (245) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | (246) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 143.72/19.65 | | | | | | | | | | | | | = 0) & summation(all_45_0) = v1 &
% 143.72/19.65 | | | | | | | | | | | | | summation(all_17_2) = v0 & lesseq(v0, v1) = v2 &
% 143.72/19.65 | | | | | | | | | | | | | $i(v1) & $i(v0))
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | DELTA: instantiating (246) with fresh symbols all_245_0,
% 143.72/19.65 | | | | | | | | | | | | | all_245_1, all_245_2 gives:
% 143.72/19.65 | | | | | | | | | | | | | (247) ~ (all_245_0 = 0) & summation(all_45_0) =
% 143.72/19.65 | | | | | | | | | | | | | all_245_1 & summation(all_17_2) = all_245_2 &
% 143.72/19.65 | | | | | | | | | | | | | lesseq(all_245_2, all_245_1) = all_245_0 &
% 143.72/19.65 | | | | | | | | | | | | | $i(all_245_1) & $i(all_245_2)
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | ALPHA: (247) implies:
% 143.72/19.65 | | | | | | | | | | | | | (248) ~ (all_245_0 = 0)
% 143.72/19.65 | | | | | | | | | | | | | (249) $i(all_245_1)
% 143.72/19.65 | | | | | | | | | | | | | (250) lesseq(all_245_2, all_245_1) = all_245_0
% 143.72/19.65 | | | | | | | | | | | | | (251) summation(all_17_2) = all_245_2
% 143.72/19.65 | | | | | | | | | | | | | (252) summation(all_45_0) = all_245_1
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | BETA: splitting (231) gives:
% 143.72/19.65 | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | (253) all_179_0 = 0
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | REDUCE: (174), (253) imply:
% 143.72/19.65 | | | | | | | | | | | | | | (254) $false
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | CLOSE: (254) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | (255) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 143.72/19.65 | | | | | | | | | | | | | | = 0) & summation(all_179_1) = v1 &
% 143.72/19.65 | | | | | | | | | | | | | | summation(all_59_0) = v0 & lesseq(v0, v1) = v2 &
% 143.72/19.65 | | | | | | | | | | | | | | $i(v1) & $i(v0))
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | DELTA: instantiating (255) with fresh symbols all_250_0,
% 143.72/19.65 | | | | | | | | | | | | | | all_250_1, all_250_2 gives:
% 143.72/19.65 | | | | | | | | | | | | | | (256) ~ (all_250_0 = 0) & summation(all_179_1) =
% 143.72/19.65 | | | | | | | | | | | | | | all_250_1 & summation(all_59_0) = all_250_2 &
% 143.72/19.65 | | | | | | | | | | | | | | lesseq(all_250_2, all_250_1) = all_250_0 &
% 143.72/19.65 | | | | | | | | | | | | | | $i(all_250_1) & $i(all_250_2)
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | ALPHA: (256) implies:
% 143.72/19.65 | | | | | | | | | | | | | | (257) ~ (all_250_0 = 0)
% 143.72/19.65 | | | | | | | | | | | | | | (258) $i(all_250_2)
% 143.72/19.65 | | | | | | | | | | | | | | (259) $i(all_250_1)
% 143.72/19.65 | | | | | | | | | | | | | | (260) lesseq(all_250_2, all_250_1) = all_250_0
% 143.72/19.65 | | | | | | | | | | | | | | (261) summation(all_59_0) = all_250_2
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 143.72/19.65 | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | (262) all_216_0 = 0
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | REDUCE: (225), (262) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | (263) $false
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | (264) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4,
% 143.72/19.65 | | | | | | | | | | | | | | | all_17_3, all_45_0) = v0)
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | DELTA: instantiating (264) with fresh symbol all_260_0
% 143.72/19.65 | | | | | | | | | | | | | | | gives:
% 143.72/19.65 | | | | | | | | | | | | | | | (265) ~ (all_260_0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.65 | | | | | | | | | | | | | | | all_45_0) = all_260_0
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 143.72/19.65 | | | | | | | | | | | | | | | (266) model_max(all_17_4, all_17_3, all_45_0) =
% 143.72/19.65 | | | | | | | | | | | | | | | all_260_0
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 143.72/19.65 | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | (267) all_216_0 = 0
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | REDUCE: (225), (267) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | (268) $false
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | (269) ? [v0: int] : (( ~ (v0 = 0) &
% 143.72/19.65 | | | | | | | | | | | | | | | | minsol_model_max(all_17_4, all_17_3, all_17_2)
% 143.72/19.65 | | | | | | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_max(all_17_4,
% 143.72/19.65 | | | | | | | | | | | | | | | | all_17_3, all_45_0) = v0))
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | DELTA: instantiating (269) with fresh symbol all_265_0
% 143.72/19.65 | | | | | | | | | | | | | | | | gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | (270) ( ~ (all_265_0 = 0) & minsol_model_max(all_17_4,
% 143.72/19.65 | | | | | | | | | | | | | | | | all_17_3, all_17_2) = all_265_0) | ( ~
% 143.72/19.65 | | | | | | | | | | | | | | | | (all_265_0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.65 | | | | | | | | | | | | | | | | all_45_0) = all_265_0)
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | (271) ~ (all_265_0 = 0) & minsol_model_max(all_17_4,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_3, all_17_2) = all_265_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (272) ~ (all_265_0 = 0)
% 143.72/19.65 | | | | | | | | | | | | | | | | | (273) minsol_model_max(all_17_4, all_17_3, all_17_2) =
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_265_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_265_0, all_17_2,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (55), (273)
% 143.72/19.65 | | | | | | | | | | | | | | | | | gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (274) all_265_0 = 0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | REDUCE: (272), (274) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (275) $false
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | (276) ~ (all_265_0 = 0) & model_max(all_17_4, all_17_3,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_45_0) = all_265_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (277) ~ (all_265_0 = 0)
% 143.72/19.65 | | | | | | | | | | | | | | | | | (278) model_max(all_17_4, all_17_3, all_45_0) =
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_265_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_59_0, all_245_2,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_2, simplifying with (79), (251) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (279) all_245_2 = all_59_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_229_0, all_245_2,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_2, simplifying with (235), (251) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (280) all_245_2 = all_229_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_59_1, all_245_1,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_45_0, simplifying with (80), (252) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (281) all_245_1 = all_59_1
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_73_1, all_250_2,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_59_0, simplifying with (98), (261) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (282) all_250_2 = all_73_1
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_17_3, all_240_2,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (201), (243)
% 143.72/19.65 | | | | | | | | | | | | | | | | | gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (283) all_240_2 = all_17_3
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_260_0, all_265_0,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_45_0, all_17_3, all_17_4, simplifying with
% 143.72/19.65 | | | | | | | | | | | | | | | | | (266), (278) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (284) all_265_0 = all_260_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (280) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (285) all_229_0 = all_59_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | REDUCE: (277), (284) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (286) ~ (all_260_0 = 0)
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | REDUCE: (242), (283) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (287) sum(c, all_17_3) = all_240_1
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | REDUCE: (260), (282) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (288) lesseq(all_73_1, all_250_1) = all_250_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | REDUCE: (250), (279), (281) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (289) lesseq(all_59_0, all_59_1) = all_245_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_45_0, all_240_1,
% 143.72/19.65 | | | | | | | | | | | | | | | | | all_17_3, c, simplifying with (202), (287) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | (290) all_240_1 = all_45_0
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.65 | | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | | (291) all_75_1 = all_73_1
% 143.72/19.65 | | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | | REDUCE: (103), (291) imply:
% 143.72/19.65 | | | | | | | | | | | | | | | | | | (292) summation(all_59_1) = all_73_1
% 143.72/19.65 | | | | | | | | | | | | | | | | | |
% 143.72/19.65 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_59_0, all_59_1,
% 143.72/19.65 | | | | | | | | | | | | | | | | | | all_73_1, all_73_1, simplifying with (77), (91),
% 143.72/19.65 | | | | | | | | | | | | | | | | | | (98), (110), (292) gives:
% 143.72/19.65 | | | | | | | | | | | | | | | | | | (293) lesseq(all_59_0, all_59_1) = 0
% 143.72/19.65 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_245_0, 0, all_59_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | all_59_0, simplifying with (289), (293) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (294) all_245_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | REDUCE: (248), (294) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (295) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (296) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_73_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | all_75_1) = v0)
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | DELTA: instantiating (296) with fresh symbol all_297_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (297) ~ (all_297_0 = 0) & lesseq(all_73_1, all_75_1) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | all_297_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (298) ~ (all_297_0 = 0)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | (299) lesseq(all_73_1, all_75_1) = all_297_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (300) all_89_1 = all_87_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | REDUCE: (124), (300) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (301) summation(all_75_1) = all_87_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_73_1, all_75_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | all_87_1, all_87_1, simplifying with (101), (111),
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (118), (130), (301) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (302) lesseq(all_73_1, all_75_1) = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_297_0, 0, all_75_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | all_73_1, simplifying with (299), (302) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (303) all_297_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | REDUCE: (298), (303) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (304) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (305) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_87_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | all_89_1) = v0)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (305) with fresh symbol all_305_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (306) ~ (all_305_0 = 0) & lesseq(all_87_1, all_89_1) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | all_305_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (307) ~ (all_305_0 = 0)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | (308) lesseq(all_87_1, all_89_1) = all_305_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (309) all_103_1 = all_101_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (309) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (310) summation(all_89_1) = all_101_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (309) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (311) lesseq(all_101_1, all_101_1) = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_87_1, all_89_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | all_101_1, all_101_1, simplifying with (121),
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (131), (138), (310), (311) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (312) lesseq(all_87_1, all_89_1) = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_305_0, 0, all_89_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | all_87_1, simplifying with (308), (312) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (313) all_305_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (313) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (314) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_73_1, all_250_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | all_250_0, simplifying with (111), (259), (288)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (315) all_250_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & summation(all_250_1) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | v1 & summation(all_73_1) = v0 & lesseq(v0, v1) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | all_45_0, all_260_0, simplifying with (44), (45),
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (67), (266) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | (316) all_260_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & max(all_17_4, all_17_3)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | = v0 & sum(c, v0) = v1 & lesseq(v1, all_45_0) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (317) all_260_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (317) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (318) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (319) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | = 0) & max(all_17_4, all_17_3) = v0 & sum(c,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | v0) = v1 & lesseq(v1, all_45_0) = v2 & $i(v1)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | & $i(v0))
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (319) with fresh symbols all_376_0,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | all_376_1, all_376_2 gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (320) ~ (all_376_0 = 0) & max(all_17_4, all_17_3) =
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | all_376_2 & sum(c, all_376_2) = all_376_1 &
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | lesseq(all_376_1, all_45_0) = all_376_0 &
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | $i(all_376_1) & $i(all_376_2)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (321) ~ (all_376_0 = 0)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (322) $i(all_376_1)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (323) lesseq(all_376_1, all_45_0) = all_376_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (324) sum(c, all_376_2) = all_376_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | (325) max(all_17_4, all_17_3) = all_376_2
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (326) all_250_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (326) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (327) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_17_3, all_376_2,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (201), (325)
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (328) all_376_2 = all_17_3
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (324), (328) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (329) sum(c, all_17_3) = all_376_1
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_45_0, all_376_1,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | all_17_3, c, simplifying with (202), (329) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (330) all_376_1 = all_45_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (323), (330) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (331) lesseq(all_45_0, all_45_0) = all_376_0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_45_0,
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | all_376_0, simplifying with (67), (331) gives:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (332) all_376_0 = 0
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (321), (332) imply:
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | (333) $false
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (333) is inconsistent.
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | | |
% 143.72/19.66 | | | | | | | | | | | | End of split
% 143.72/19.66 | | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | End of split
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | End of split
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | Case 2:
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | (334) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.09/19.66 | | | | | | | | | | all_17_3) = v0)
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | DELTA: instantiating (334) with fresh symbol all_210_0
% 144.09/19.66 | | | | | | | | | | gives:
% 144.09/19.66 | | | | | | | | | | (335) ~ (all_210_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.09/19.66 | | | | | | | | | | all_210_0
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | ALPHA: (335) implies:
% 144.09/19.66 | | | | | | | | | | (336) ~ (all_210_0 = 0)
% 144.09/19.66 | | | | | | | | | | (337) lesseq(all_17_4, all_17_3) = all_210_0
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | BETA: splitting (94) gives:
% 144.09/19.66 | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | Case 1:
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | (338) all_45_0 = all_17_2
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | REDUCE: (69), (338) imply:
% 144.09/19.66 | | | | | | | | | | | (339) sum(c, all_45_1) = all_17_2
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_3, all_17_4,
% 144.09/19.66 | | | | | | | | | | | all_210_0, simplifying with (44), (45), (337)
% 144.09/19.66 | | | | | | | | | | | gives:
% 144.09/19.66 | | | | | | | | | | | (340) all_210_0 = 0 | lesseq(all_17_3, all_17_4) = 0
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | GROUND_INST: instantiating (1) with all_17_2, all_164_0,
% 144.09/19.66 | | | | | | | | | | | all_30_2, all_30_0, simplifying with (46), (60),
% 144.09/19.66 | | | | | | | | | | | (156), (165), (166) gives:
% 144.09/19.66 | | | | | | | | | | | (341) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.09/19.66 | | | | | | | | | | | lesseq(all_17_2, all_164_0) = v0)
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | GROUND_INST: instantiating (12) with all_17_4, all_17_3,
% 144.09/19.66 | | | | | | | | | | | all_164_1, simplifying with (44), (45), (164),
% 144.09/19.66 | | | | | | | | | | | (168) gives:
% 144.09/19.66 | | | | | | | | | | | (342) lesseq(all_17_3, all_164_1) = 0 & lesseq(all_17_4,
% 144.09/19.66 | | | | | | | | | | | all_164_1) = 0
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | ALPHA: (342) implies:
% 144.09/19.66 | | | | | | | | | | | (343) lesseq(all_17_4, all_164_1) = 0
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | BETA: splitting (340) gives:
% 144.09/19.66 | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | Case 1:
% 144.09/19.66 | | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | | (344) lesseq(all_17_3, all_17_4) = 0
% 144.09/19.66 | | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | | BETA: splitting (75) gives:
% 144.09/19.66 | | | | | | | | | | | |
% 144.09/19.66 | | | | | | | | | | | | Case 1:
% 144.09/19.66 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | (345) all_45_1 = all_17_4
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | REDUCE: (339), (345) imply:
% 144.09/19.67 | | | | | | | | | | | | | (346) sum(c, all_17_4) = all_17_2
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | BETA: splitting (341) gives:
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | Case 1:
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | (347) all_30_0 = 0
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | REDUCE: (155), (347) imply:
% 144.09/19.67 | | | | | | | | | | | | | | (348) $false
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | CLOSE: (348) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | Case 2:
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | (349) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 144.09/19.67 | | | | | | | | | | | | | | all_164_0) = v0)
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | DELTA: instantiating (349) with fresh symbol all_293_0
% 144.09/19.67 | | | | | | | | | | | | | | gives:
% 144.09/19.67 | | | | | | | | | | | | | | (350) ~ (all_293_0 = 0) & lesseq(all_17_2, all_164_0) =
% 144.09/19.67 | | | | | | | | | | | | | | all_293_0
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | ALPHA: (350) implies:
% 144.09/19.67 | | | | | | | | | | | | | | (351) ~ (all_293_0 = 0)
% 144.09/19.67 | | | | | | | | | | | | | | (352) lesseq(all_17_2, all_164_0) = all_293_0
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_17_4, all_164_1, c,
% 144.09/19.67 | | | | | | | | | | | | | | all_17_2, all_164_0, all_293_0, simplifying with
% 144.09/19.67 | | | | | | | | | | | | | | (18), (44), (164), (167), (346), (352) gives:
% 144.09/19.67 | | | | | | | | | | | | | | (353) all_293_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.09/19.67 | | | | | | | | | | | | | | lesseq(all_17_4, all_164_1) = v0)
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | Case 1:
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | (354) all_293_0 = 0
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | REDUCE: (351), (354) imply:
% 144.09/19.67 | | | | | | | | | | | | | | | (355) $false
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | CLOSE: (355) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | Case 2:
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | (356) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.09/19.67 | | | | | | | | | | | | | | | all_164_1) = v0)
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | DELTA: instantiating (356) with fresh symbol all_325_0
% 144.09/19.67 | | | | | | | | | | | | | | | gives:
% 144.09/19.67 | | | | | | | | | | | | | | | (357) ~ (all_325_0 = 0) & lesseq(all_17_4, all_164_1) =
% 144.09/19.67 | | | | | | | | | | | | | | | all_325_0
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 144.09/19.67 | | | | | | | | | | | | | | | (358) ~ (all_325_0 = 0)
% 144.09/19.67 | | | | | | | | | | | | | | | (359) lesseq(all_17_4, all_164_1) = all_325_0
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_325_0, all_164_1,
% 144.09/19.67 | | | | | | | | | | | | | | | all_17_4, simplifying with (343), (359) gives:
% 144.09/19.67 | | | | | | | | | | | | | | | (360) all_325_0 = 0
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | REDUCE: (358), (360) imply:
% 144.09/19.67 | | | | | | | | | | | | | | | (361) $false
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | | End of split
% 144.09/19.67 | | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | End of split
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | Case 2:
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | (362) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3,
% 144.09/19.67 | | | | | | | | | | | | | all_17_4) = v0)
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | DELTA: instantiating (362) with fresh symbol all_281_0
% 144.09/19.67 | | | | | | | | | | | | | gives:
% 144.09/19.67 | | | | | | | | | | | | | (363) ~ (all_281_0 = 0) & lesseq(all_17_3, all_17_4) =
% 144.09/19.67 | | | | | | | | | | | | | all_281_0
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | ALPHA: (363) implies:
% 144.09/19.67 | | | | | | | | | | | | | (364) ~ (all_281_0 = 0)
% 144.09/19.67 | | | | | | | | | | | | | (365) lesseq(all_17_3, all_17_4) = all_281_0
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_281_0, all_17_4,
% 144.09/19.67 | | | | | | | | | | | | | all_17_3, simplifying with (344), (365) gives:
% 144.09/19.67 | | | | | | | | | | | | | (366) all_281_0 = 0
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | REDUCE: (364), (366) imply:
% 144.09/19.67 | | | | | | | | | | | | | (367) $false
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | End of split
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | Case 2:
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | (368) all_210_0 = 0
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | REDUCE: (336), (368) imply:
% 144.09/19.67 | | | | | | | | | | | | (369) $false
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | End of split
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | Case 2:
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | (370) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 144.09/19.67 | | | | | | | | | | | all_45_0) = v0)
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | DELTA: instantiating (370) with fresh symbol all_218_0
% 144.09/19.67 | | | | | | | | | | | gives:
% 144.09/19.67 | | | | | | | | | | | (371) ~ (all_218_0 = 0) & lesseq(all_17_2, all_45_0) =
% 144.09/19.67 | | | | | | | | | | | all_218_0
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | ALPHA: (371) implies:
% 144.09/19.67 | | | | | | | | | | | (372) ~ (all_218_0 = 0)
% 144.09/19.67 | | | | | | | | | | | (373) lesseq(all_17_2, all_45_0) = all_218_0
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_3, all_17_4,
% 144.09/19.67 | | | | | | | | | | | all_210_0, simplifying with (44), (45), (337)
% 144.09/19.67 | | | | | | | | | | | gives:
% 144.09/19.67 | | | | | | | | | | | (374) all_210_0 = 0 | lesseq(all_17_3, all_17_4) = 0
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | GROUND_INST: instantiating (29) with all_17_4, all_17_3,
% 144.09/19.67 | | | | | | | | | | | all_17_2, 0, all_45_0, all_218_0, simplifying with
% 144.09/19.67 | | | | | | | | | | | (44), (45), (46), (62), (67), (373) gives:
% 144.09/19.67 | | | | | | | | | | | (375) all_218_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.09/19.67 | | | | | | | | | | | minsol_model_max(all_17_4, all_17_3, all_17_2)
% 144.09/19.67 | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_max(all_17_4,
% 144.09/19.67 | | | | | | | | | | | all_17_3, all_45_0) = v0))
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_17_4, all_17_3,
% 144.09/19.67 | | | | | | | | | | | all_17_2, all_45_0, all_218_0, simplifying with
% 144.09/19.67 | | | | | | | | | | | (44), (45), (46), (55), (67), (373) gives:
% 144.09/19.67 | | | | | | | | | | | (376) all_218_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.09/19.67 | | | | | | | | | | | model_max(all_17_4, all_17_3, all_45_0) = v0)
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3,
% 144.09/19.67 | | | | | | | | | | | all_30_2, all_184_0, simplifying with (44), (45),
% 144.09/19.67 | | | | | | | | | | | (60), (183) gives:
% 144.09/19.67 | | | | | | | | | | | (377) all_184_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 144.09/19.67 | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & max(all_17_4, all_17_3)
% 144.09/19.67 | | | | | | | | | | | = v0 & sum(c, v0) = v1 & lesseq(v1, all_30_2) =
% 144.09/19.67 | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | BETA: splitting (374) gives:
% 144.09/19.67 | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | Case 1:
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | (378) lesseq(all_17_3, all_17_4) = 0
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | BETA: splitting (376) gives:
% 144.09/19.67 | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | Case 1:
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | (379) all_218_0 = 0
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | REDUCE: (372), (379) imply:
% 144.09/19.67 | | | | | | | | | | | | | (380) $false
% 144.09/19.67 | | | | | | | | | | | | |
% 144.09/19.67 | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 144.09/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | Case 2:
% 144.13/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | (381) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4,
% 144.13/19.67 | | | | | | | | | | | | | all_17_3, all_45_0) = v0)
% 144.13/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | DELTA: instantiating (381) with fresh symbol all_266_0
% 144.13/19.67 | | | | | | | | | | | | | gives:
% 144.13/19.67 | | | | | | | | | | | | | (382) ~ (all_266_0 = 0) & model_max(all_17_4, all_17_3,
% 144.13/19.67 | | | | | | | | | | | | | all_45_0) = all_266_0
% 144.13/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | ALPHA: (382) implies:
% 144.13/19.67 | | | | | | | | | | | | | (383) model_max(all_17_4, all_17_3, all_45_0) =
% 144.13/19.67 | | | | | | | | | | | | | all_266_0
% 144.13/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | BETA: splitting (375) gives:
% 144.13/19.67 | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | Case 1:
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | (384) all_218_0 = 0
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | REDUCE: (372), (384) imply:
% 144.13/19.67 | | | | | | | | | | | | | | (385) $false
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | Case 2:
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | (386) ? [v0: int] : (( ~ (v0 = 0) &
% 144.13/19.67 | | | | | | | | | | | | | | minsol_model_max(all_17_4, all_17_3, all_17_2)
% 144.13/19.67 | | | | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_max(all_17_4,
% 144.13/19.67 | | | | | | | | | | | | | | all_17_3, all_45_0) = v0))
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | DELTA: instantiating (386) with fresh symbol all_271_0
% 144.13/19.67 | | | | | | | | | | | | | | gives:
% 144.13/19.67 | | | | | | | | | | | | | | (387) ( ~ (all_271_0 = 0) & minsol_model_max(all_17_4,
% 144.13/19.67 | | | | | | | | | | | | | | all_17_3, all_17_2) = all_271_0) | ( ~
% 144.13/19.67 | | | | | | | | | | | | | | (all_271_0 = 0) & model_max(all_17_4, all_17_3,
% 144.13/19.67 | | | | | | | | | | | | | | all_45_0) = all_271_0)
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 144.13/19.67 | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | Case 1:
% 144.13/19.67 | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | (388) all_45_1 = all_17_4
% 144.13/19.67 | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | REDUCE: (70), (388) imply:
% 144.13/19.67 | | | | | | | | | | | | | | | (389) max(all_17_4, all_17_3) = all_17_4
% 144.13/19.67 | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | REDUCE: (69), (388) imply:
% 144.13/19.67 | | | | | | | | | | | | | | | (390) sum(c, all_17_4) = all_45_0
% 144.13/19.67 | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 144.13/19.67 | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | Case 1:
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | (391) ~ (all_271_0 = 0) & minsol_model_max(all_17_4,
% 144.13/19.67 | | | | | | | | | | | | | | | | all_17_3, all_17_2) = all_271_0
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | ALPHA: (391) implies:
% 144.13/19.67 | | | | | | | | | | | | | | | | (392) ~ (all_271_0 = 0)
% 144.13/19.67 | | | | | | | | | | | | | | | | (393) minsol_model_max(all_17_4, all_17_3, all_17_2) =
% 144.13/19.67 | | | | | | | | | | | | | | | | all_271_0
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_271_0, all_17_2,
% 144.13/19.67 | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (55), (393)
% 144.13/19.67 | | | | | | | | | | | | | | | | gives:
% 144.13/19.67 | | | | | | | | | | | | | | | | (394) all_271_0 = 0
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | REDUCE: (392), (394) imply:
% 144.13/19.67 | | | | | | | | | | | | | | | | (395) $false
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | CLOSE: (395) is inconsistent.
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | Case 2:
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | (396) ~ (all_271_0 = 0) & model_max(all_17_4, all_17_3,
% 144.13/19.67 | | | | | | | | | | | | | | | | all_45_0) = all_271_0
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 144.13/19.67 | | | | | | | | | | | | | | | | (397) ~ (all_271_0 = 0)
% 144.13/19.67 | | | | | | | | | | | | | | | | (398) model_max(all_17_4, all_17_3, all_45_0) =
% 144.13/19.67 | | | | | | | | | | | | | | | | all_271_0
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 144.13/19.67 | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | Case 1:
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | (399) all_184_0 = 0
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | REDUCE: (198), (399) imply:
% 144.13/19.67 | | | | | | | | | | | | | | | | | (400) $false
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | CLOSE: (400) is inconsistent.
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | Case 2:
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | (401) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 144.13/19.67 | | | | | | | | | | | | | | | | | = 0) & max(all_17_4, all_17_3) = v0 & sum(c,
% 144.13/19.67 | | | | | | | | | | | | | | | | | v0) = v1 & lesseq(v1, all_30_2) = v2 & $i(v1)
% 144.13/19.67 | | | | | | | | | | | | | | | | | & $i(v0))
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | DELTA: instantiating (401) with fresh symbols all_284_0,
% 144.13/19.67 | | | | | | | | | | | | | | | | | all_284_1, all_284_2 gives:
% 144.13/19.67 | | | | | | | | | | | | | | | | | (402) ~ (all_284_0 = 0) & max(all_17_4, all_17_3) =
% 144.13/19.67 | | | | | | | | | | | | | | | | | all_284_2 & sum(c, all_284_2) = all_284_1 &
% 144.13/19.67 | | | | | | | | | | | | | | | | | lesseq(all_284_1, all_30_2) = all_284_0 &
% 144.13/19.67 | | | | | | | | | | | | | | | | | $i(all_284_1) & $i(all_284_2)
% 144.13/19.67 | | | | | | | | | | | | | | | | |
% 144.13/19.67 | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (403) ~ (all_284_0 = 0)
% 144.13/19.68 | | | | | | | | | | | | | | | | | (404) $i(all_284_2)
% 144.13/19.68 | | | | | | | | | | | | | | | | | (405) $i(all_284_1)
% 144.13/19.68 | | | | | | | | | | | | | | | | | (406) lesseq(all_284_1, all_30_2) = all_284_0
% 144.13/19.68 | | | | | | | | | | | | | | | | | (407) sum(c, all_284_2) = all_284_1
% 144.13/19.68 | | | | | | | | | | | | | | | | | (408) max(all_17_4, all_17_3) = all_284_2
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_17_4, all_284_2,
% 144.13/19.68 | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (389), (408)
% 144.13/19.68 | | | | | | | | | | | | | | | | | gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (409) all_284_2 = all_17_4
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_266_0, all_271_0,
% 144.13/19.68 | | | | | | | | | | | | | | | | | all_45_0, all_17_3, all_17_4, simplifying with
% 144.13/19.68 | | | | | | | | | | | | | | | | | (383), (398) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (410) all_271_0 = all_266_0
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | REDUCE: (397), (410) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (411) ~ (all_266_0 = 0)
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | REDUCE: (407), (409) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (412) sum(c, all_17_4) = all_284_1
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_45_0, all_284_1,
% 144.13/19.68 | | | | | | | | | | | | | | | | | all_17_4, c, simplifying with (390), (412) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (413) all_284_1 = all_45_0
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | REDUCE: (406), (413) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | (414) lesseq(all_45_0, all_30_2) = all_284_0
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | Case 1:
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_30_2, all_45_0,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | all_284_0, simplifying with (60), (67), (414)
% 144.13/19.68 | | | | | | | | | | | | | | | | | | gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (415) all_284_0 = 0 | lesseq(all_30_2, all_45_0) = 0
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | all_45_0, all_266_0, simplifying with (44), (45),
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (67), (383) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (416) all_266_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 144.13/19.68 | | | | | | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & max(all_17_4, all_17_3)
% 144.13/19.68 | | | | | | | | | | | | | | | | | | = v0 & sum(c, v0) = v1 & lesseq(v1, all_45_0) =
% 144.13/19.68 | | | | | | | | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (38), (389), (390), (403), (411), (415),
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (416), (lesseq_ref) are inconsistent by sub-proof
% 144.13/19.68 | | | | | | | | | | | | | | | | | | #8.
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | Case 2:
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (417) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_87_1,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | all_89_1) = v0)
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | DELTA: instantiating (417) with fresh symbol all_313_0
% 144.13/19.68 | | | | | | | | | | | | | | | | | | gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (418) ~ (all_313_0 = 0) & lesseq(all_87_1, all_89_1) =
% 144.13/19.68 | | | | | | | | | | | | | | | | | | all_313_0
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (419) ~ (all_313_0 = 0)
% 144.13/19.68 | | | | | | | | | | | | | | | | | | (420) lesseq(all_87_1, all_89_1) = all_313_0
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | Case 1:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (421) all_103_1 = all_101_1
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (421) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (422) summation(all_89_1) = all_101_1
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (421) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (423) lesseq(all_101_1, all_101_1) = 0
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_87_1, all_89_1,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | all_101_1, all_101_1, simplifying with (121),
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (131), (138), (422), (423) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (424) lesseq(all_87_1, all_89_1) = 0
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_313_0, 0, all_89_1,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | all_87_1, simplifying with (420), (424) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (425) all_313_0 = 0
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | REDUCE: (419), (425) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (426) $false
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | CLOSE: (426) is inconsistent.
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | Case 2:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_30_2, all_45_0,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | all_284_0, simplifying with (60), (67), (414)
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (427) all_284_0 = 0 | lesseq(all_30_2, all_45_0) = 0
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3,
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | all_45_0, all_266_0, simplifying with (44), (45),
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (67), (383) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (428) all_266_0 = 0 | ? [v0: $i] : ? [v1: $i] : ?
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | [v2: int] : ( ~ (v2 = 0) & max(all_17_4, all_17_3)
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | = v0 & sum(c, v0) = v1 & lesseq(v1, all_45_0) =
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | v2 & $i(v1) & $i(v0))
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (38), (389), (390), (403), (411), (427),
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | (428), (lesseq_ref) are inconsistent by sub-proof
% 144.13/19.68 | | | | | | | | | | | | | | | | | | | #8.
% 144.13/19.68 | | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | Case 2:
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | (429) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3,
% 144.13/19.68 | | | | | | | | | | | | | | | all_17_4) = v0)
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | DELTA: instantiating (429) with fresh symbol all_276_0
% 144.13/19.68 | | | | | | | | | | | | | | | gives:
% 144.13/19.68 | | | | | | | | | | | | | | | (430) ~ (all_276_0 = 0) & lesseq(all_17_3, all_17_4) =
% 144.13/19.68 | | | | | | | | | | | | | | | all_276_0
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 144.13/19.68 | | | | | | | | | | | | | | | (431) ~ (all_276_0 = 0)
% 144.13/19.68 | | | | | | | | | | | | | | | (432) lesseq(all_17_3, all_17_4) = all_276_0
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_276_0, all_17_4,
% 144.13/19.68 | | | | | | | | | | | | | | | all_17_3, simplifying with (378), (432) gives:
% 144.13/19.68 | | | | | | | | | | | | | | | (433) all_276_0 = 0
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | REDUCE: (431), (433) imply:
% 144.13/19.68 | | | | | | | | | | | | | | | (434) $false
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent.
% 144.13/19.68 | | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | Case 2:
% 144.13/19.68 | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | (435) all_210_0 = 0
% 144.13/19.68 | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | REDUCE: (336), (435) imply:
% 144.13/19.68 | | | | | | | | | | | | (436) $false
% 144.13/19.68 | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | | CLOSE: (436) is inconsistent.
% 144.13/19.68 | | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | | |
% 144.13/19.68 | | | | | | | | | End of split
% 144.13/19.68 | | | | | | | | |
% 144.13/19.68 | | | | | | | | End of split
% 144.13/19.68 | | | | | | | |
% 144.13/19.68 | | | | | | | End of split
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | End of split
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | End of split
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | Case 2:
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | (437) all_30_0 = 0
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | REDUCE: (155), (437) imply:
% 144.13/19.68 | | | | | (438) $false
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | CLOSE: (438) is inconsistent.
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | End of split
% 144.13/19.68 | | | |
% 144.13/19.68 | | | Case 2:
% 144.13/19.68 | | | |
% 144.13/19.68 | | | | (439) ~ (all_30_3 = 0) & model_ub(all_17_4, all_17_3, all_17_2) =
% 144.13/19.68 | | | | all_30_3
% 144.13/19.68 | | | |
% 144.13/19.68 | | | | ALPHA: (439) implies:
% 144.13/19.68 | | | | (440) ~ (all_30_3 = 0)
% 144.13/19.68 | | | | (441) model_ub(all_17_4, all_17_3, all_17_2) = all_30_3
% 144.13/19.68 | | | |
% 144.13/19.68 | | | | GROUND_INST: instantiating (21) with all_17_4, all_17_3, all_17_2,
% 144.13/19.68 | | | | all_30_3, all_45_1, all_45_0, simplifying with (44), (45),
% 144.13/19.68 | | | | (46), (66), (69), (441) gives:
% 144.13/19.68 | | | | (442) all_30_3 = 0 | ? [v0: any] : ? [v1: any] : (ub(all_17_4,
% 144.13/19.68 | | | | all_17_3, all_45_1) = v0 & lesseq(all_45_0, all_17_2) = v1
% 144.13/19.68 | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.68 | | | |
% 144.13/19.68 | | | | BETA: splitting (442) gives:
% 144.13/19.68 | | | |
% 144.13/19.68 | | | | Case 1:
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | (443) all_30_3 = 0
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | REDUCE: (440), (443) imply:
% 144.13/19.68 | | | | | (444) $false
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | CLOSE: (444) is inconsistent.
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | Case 2:
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | (445) ? [v0: any] : ? [v1: any] : (ub(all_17_4, all_17_3,
% 144.13/19.68 | | | | | all_45_1) = v0 & lesseq(all_45_0, all_17_2) = v1 & ( ~
% 144.13/19.68 | | | | | (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | DELTA: instantiating (445) with fresh symbols all_171_0, all_171_1
% 144.13/19.68 | | | | | gives:
% 144.13/19.68 | | | | | (446) ub(all_17_4, all_17_3, all_45_1) = all_171_1 &
% 144.13/19.68 | | | | | lesseq(all_45_0, all_17_2) = all_171_0 & ( ~ (all_171_0 = 0)
% 144.13/19.68 | | | | | | ~ (all_171_1 = 0))
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | ALPHA: (446) implies:
% 144.13/19.68 | | | | | (447) lesseq(all_45_0, all_17_2) = all_171_0
% 144.13/19.68 | | | | | (448) ub(all_17_4, all_17_3, all_45_1) = all_171_1
% 144.13/19.68 | | | | | (449) ~ (all_171_0 = 0) | ~ (all_171_1 = 0)
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | GROUND_INST: instantiating (36) with 0, all_171_0, all_17_2, all_45_0,
% 144.13/19.68 | | | | | simplifying with (68), (447) gives:
% 144.13/19.68 | | | | | (450) all_171_0 = 0
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | BETA: splitting (449) gives:
% 144.13/19.68 | | | | |
% 144.13/19.68 | | | | | Case 1:
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | (451) ~ (all_171_0 = 0)
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | REDUCE: (450), (451) imply:
% 144.13/19.68 | | | | | | (452) $false
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | CLOSE: (452) is inconsistent.
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | Case 2:
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | (453) ~ (all_171_1 = 0)
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | BETA: splitting (75) gives:
% 144.13/19.68 | | | | | |
% 144.13/19.68 | | | | | | Case 1:
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | | (454) all_45_1 = all_17_4
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | | REDUCE: (448), (454) imply:
% 144.13/19.68 | | | | | | | (455) ub(all_17_4, all_17_3, all_17_4) = all_171_1
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | | GROUND_INST: instantiating (13) with all_17_4, all_17_3, all_17_4,
% 144.13/19.68 | | | | | | | all_171_1, simplifying with (44), (45), (455) gives:
% 144.13/19.68 | | | | | | | (456) all_171_1 = 0 | ? [v0: any] : ? [v1: any] :
% 144.13/19.68 | | | | | | | (lesseq(all_17_3, all_17_4) = v1 & lesseq(all_17_4,
% 144.13/19.68 | | | | | | | all_17_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | | BETA: splitting (456) gives:
% 144.13/19.68 | | | | | | |
% 144.13/19.68 | | | | | | | Case 1:
% 144.13/19.68 | | | | | | | |
% 144.13/19.69 | | | | | | | | (457) all_171_1 = 0
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | REDUCE: (453), (457) imply:
% 144.13/19.69 | | | | | | | | (458) $false
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | CLOSE: (458) is inconsistent.
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | (459) ? [v0: any] : ? [v1: any] : (lesseq(all_17_3,
% 144.13/19.69 | | | | | | | | all_17_4) = v1 & lesseq(all_17_4, all_17_4) = v0 &
% 144.13/19.69 | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | DELTA: instantiating (459) with fresh symbols all_229_0,
% 144.13/19.69 | | | | | | | | all_229_1 gives:
% 144.13/19.69 | | | | | | | | (460) lesseq(all_17_3, all_17_4) = all_229_0 &
% 144.13/19.69 | | | | | | | | lesseq(all_17_4, all_17_4) = all_229_1 & ( ~ (all_229_0
% 144.13/19.69 | | | | | | | | = 0) | ~ (all_229_1 = 0))
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | ALPHA: (460) implies:
% 144.13/19.69 | | | | | | | | (461) lesseq(all_17_4, all_17_4) = all_229_1
% 144.13/19.69 | | | | | | | | (462) lesseq(all_17_3, all_17_4) = all_229_0
% 144.13/19.69 | | | | | | | | (463) ~ (all_229_0 = 0) | ~ (all_229_1 = 0)
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | BETA: splitting (74) gives:
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | (464) all_45_1 = all_17_3
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | COMBINE_EQS: (454), (464) imply:
% 144.13/19.69 | | | | | | | | | (465) all_17_3 = all_17_4
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | SIMP: (465) implies:
% 144.13/19.69 | | | | | | | | | (466) all_17_3 = all_17_4
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | REDUCE: (462), (466) imply:
% 144.13/19.69 | | | | | | | | | (467) lesseq(all_17_4, all_17_4) = all_229_0
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | GROUND_INST: instantiating (36) with all_229_1, all_229_0,
% 144.13/19.69 | | | | | | | | | all_17_4, all_17_4, simplifying with (461), (467)
% 144.13/19.69 | | | | | | | | | gives:
% 144.13/19.69 | | | | | | | | | (468) all_229_0 = all_229_1
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | BETA: splitting (463) gives:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (469) ~ (all_229_0 = 0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (468), (469) imply:
% 144.13/19.69 | | | | | | | | | | (470) ~ (all_229_1 = 0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_4,
% 144.13/19.69 | | | | | | | | | | all_229_1, simplifying with (44), (461) gives:
% 144.13/19.69 | | | | | | | | | | (471) all_229_1 = 0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (470), (471) imply:
% 144.13/19.69 | | | | | | | | | | (472) $false
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | CLOSE: (472) is inconsistent.
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (473) all_229_0 = 0
% 144.13/19.69 | | | | | | | | | | (474) ~ (all_229_1 = 0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | COMBINE_EQS: (468), (473) imply:
% 144.13/19.69 | | | | | | | | | | (475) all_229_1 = 0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (474), (475) imply:
% 144.13/19.69 | | | | | | | | | | (476) $false
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | CLOSE: (476) is inconsistent.
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | End of split
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | (477) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.13/19.69 | | | | | | | | | all_17_3) = v0)
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | DELTA: instantiating (477) with fresh symbol all_249_0 gives:
% 144.13/19.69 | | | | | | | | | (478) ~ (all_249_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.13/19.69 | | | | | | | | | all_249_0
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | ALPHA: (478) implies:
% 144.13/19.69 | | | | | | | | | (479) ~ (all_249_0 = 0)
% 144.13/19.69 | | | | | | | | | (480) lesseq(all_17_4, all_17_3) = all_249_0
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | GROUND_INST: instantiating (2) with all_17_3, all_17_4,
% 144.13/19.69 | | | | | | | | | all_249_0, simplifying with (44), (45), (480)
% 144.13/19.69 | | | | | | | | | gives:
% 144.13/19.69 | | | | | | | | | (481) all_249_0 = 0 | lesseq(all_17_3, all_17_4) = 0
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | BETA: splitting (463) gives:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (482) ~ (all_229_0 = 0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | BETA: splitting (481) gives:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | (483) lesseq(all_17_3, all_17_4) = 0
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | GROUND_INST: instantiating (36) with all_229_0, 0, all_17_4,
% 144.13/19.69 | | | | | | | | | | | all_17_3, simplifying with (462), (483) gives:
% 144.13/19.69 | | | | | | | | | | | (484) all_229_0 = 0
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | REDUCE: (482), (484) imply:
% 144.13/19.69 | | | | | | | | | | | (485) $false
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | CLOSE: (485) is inconsistent.
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | (486) all_249_0 = 0
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | REDUCE: (479), (486) imply:
% 144.13/19.69 | | | | | | | | | | | (487) $false
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | CLOSE: (487) is inconsistent.
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | End of split
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (488) ~ (all_229_1 = 0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_4,
% 144.13/19.69 | | | | | | | | | | all_229_1, simplifying with (44), (461) gives:
% 144.13/19.69 | | | | | | | | | | (489) all_229_1 = 0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (488), (489) imply:
% 144.13/19.69 | | | | | | | | | | (490) $false
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | CLOSE: (490) is inconsistent.
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | End of split
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | End of split
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | End of split
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | Case 2:
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | (491) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3, all_17_4)
% 144.13/19.69 | | | | | | | = v0)
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | DELTA: instantiating (491) with fresh symbol all_201_0 gives:
% 144.13/19.69 | | | | | | | (492) ~ (all_201_0 = 0) & lesseq(all_17_3, all_17_4) =
% 144.13/19.69 | | | | | | | all_201_0
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | ALPHA: (492) implies:
% 144.13/19.69 | | | | | | | (493) ~ (all_201_0 = 0)
% 144.13/19.69 | | | | | | | (494) lesseq(all_17_3, all_17_4) = all_201_0
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | GROUND_INST: instantiating (2) with all_17_4, all_17_3, all_201_0,
% 144.13/19.69 | | | | | | | simplifying with (44), (45), (494) gives:
% 144.13/19.69 | | | | | | | (495) all_201_0 = 0 | lesseq(all_17_4, all_17_3) = 0
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | GROUND_INST: instantiating (13) with all_17_4, all_17_3, all_45_1,
% 144.13/19.69 | | | | | | | all_171_1, simplifying with (44), (45), (66), (448)
% 144.13/19.69 | | | | | | | gives:
% 144.13/19.69 | | | | | | | (496) all_171_1 = 0 | ? [v0: any] : ? [v1: any] :
% 144.13/19.69 | | | | | | | (lesseq(all_17_3, all_45_1) = v1 & lesseq(all_17_4,
% 144.13/19.69 | | | | | | | all_45_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | BETA: splitting (495) gives:
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | (497) lesseq(all_17_4, all_17_3) = 0
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | BETA: splitting (496) gives:
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | (498) all_171_1 = 0
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | REDUCE: (453), (498) imply:
% 144.13/19.69 | | | | | | | | | (499) $false
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | CLOSE: (499) is inconsistent.
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | (500) ? [v0: any] : ? [v1: any] : (lesseq(all_17_3,
% 144.13/19.69 | | | | | | | | | all_45_1) = v1 & lesseq(all_17_4, all_45_1) = v0
% 144.13/19.69 | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | DELTA: instantiating (500) with fresh symbols all_243_0,
% 144.13/19.69 | | | | | | | | | all_243_1 gives:
% 144.13/19.69 | | | | | | | | | (501) lesseq(all_17_3, all_45_1) = all_243_0 &
% 144.13/19.69 | | | | | | | | | lesseq(all_17_4, all_45_1) = all_243_1 & ( ~
% 144.13/19.69 | | | | | | | | | (all_243_0 = 0) | ~ (all_243_1 = 0))
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | ALPHA: (501) implies:
% 144.13/19.69 | | | | | | | | | (502) lesseq(all_17_4, all_45_1) = all_243_1
% 144.13/19.69 | | | | | | | | | (503) lesseq(all_17_3, all_45_1) = all_243_0
% 144.13/19.69 | | | | | | | | | (504) ~ (all_243_0 = 0) | ~ (all_243_1 = 0)
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | BETA: splitting (74) gives:
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (505) all_45_1 = all_17_3
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (503), (505) imply:
% 144.13/19.69 | | | | | | | | | | (506) lesseq(all_17_3, all_17_3) = all_243_0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (502), (505) imply:
% 144.13/19.69 | | | | | | | | | | (507) lesseq(all_17_4, all_17_3) = all_243_1
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_243_1, all_17_3,
% 144.13/19.69 | | | | | | | | | | all_17_4, simplifying with (497), (507) gives:
% 144.13/19.69 | | | | | | | | | | (508) all_243_1 = 0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | BETA: splitting (504) gives:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | Case 1:
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | (509) ~ (all_243_0 = 0)
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_3,
% 144.13/19.69 | | | | | | | | | | | all_243_0, simplifying with (45), (506) gives:
% 144.13/19.69 | | | | | | | | | | | (510) all_243_0 = 0
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | REDUCE: (509), (510) imply:
% 144.13/19.69 | | | | | | | | | | | (511) $false
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | CLOSE: (511) is inconsistent.
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | (512) ~ (all_243_1 = 0)
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | REDUCE: (508), (512) imply:
% 144.13/19.69 | | | | | | | | | | | (513) $false
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | | CLOSE: (513) is inconsistent.
% 144.13/19.69 | | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | End of split
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | (514) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.13/19.69 | | | | | | | | | | all_17_3) = v0)
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | DELTA: instantiating (514) with fresh symbol all_249_0
% 144.13/19.69 | | | | | | | | | | gives:
% 144.13/19.69 | | | | | | | | | | (515) ~ (all_249_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.13/19.69 | | | | | | | | | | all_249_0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | ALPHA: (515) implies:
% 144.13/19.69 | | | | | | | | | | (516) ~ (all_249_0 = 0)
% 144.13/19.69 | | | | | | | | | | (517) lesseq(all_17_4, all_17_3) = all_249_0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_249_0, all_17_3,
% 144.13/19.69 | | | | | | | | | | all_17_4, simplifying with (497), (517) gives:
% 144.13/19.69 | | | | | | | | | | (518) all_249_0 = 0
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | REDUCE: (516), (518) imply:
% 144.13/19.69 | | | | | | | | | | (519) $false
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | | CLOSE: (519) is inconsistent.
% 144.13/19.69 | | | | | | | | | |
% 144.13/19.69 | | | | | | | | | End of split
% 144.13/19.69 | | | | | | | | |
% 144.13/19.69 | | | | | | | | End of split
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | Case 2:
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | (520) all_201_0 = 0
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | REDUCE: (493), (520) imply:
% 144.13/19.69 | | | | | | | | (521) $false
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | | CLOSE: (521) is inconsistent.
% 144.13/19.69 | | | | | | | |
% 144.13/19.69 | | | | | | | End of split
% 144.13/19.69 | | | | | | |
% 144.13/19.69 | | | | | | End of split
% 144.13/19.69 | | | | | |
% 144.13/19.69 | | | | | End of split
% 144.13/19.69 | | | | |
% 144.13/19.69 | | | | End of split
% 144.13/19.69 | | | |
% 144.13/19.69 | | | End of split
% 144.13/19.69 | | |
% 144.13/19.69 | | End of split
% 144.13/19.69 | |
% 144.13/19.69 | Case 2:
% 144.13/19.69 | |
% 144.13/19.69 | | (522) all_17_1 = 0 & ~ (all_17_0 = 0)
% 144.13/19.69 | |
% 144.13/19.69 | | ALPHA: (522) implies:
% 144.13/19.69 | | (523) all_17_1 = 0
% 144.13/19.69 | | (524) ~ (all_17_0 = 0)
% 144.13/19.69 | |
% 144.13/19.69 | | REDUCE: (48), (523) imply:
% 144.13/19.69 | | (525) minsol_model_ub(all_17_4, all_17_3, all_17_2) = 0
% 144.13/19.69 | |
% 144.13/19.69 | | BETA: splitting (50) gives:
% 144.13/19.69 | |
% 144.13/19.69 | | Case 1:
% 144.13/19.69 | | |
% 144.13/19.69 | | | (526) all_17_0 = 0
% 144.13/19.69 | | |
% 144.13/19.69 | | | REDUCE: (524), (526) imply:
% 144.13/19.69 | | | (527) $false
% 144.13/19.69 | | |
% 144.13/19.69 | | | CLOSE: (527) is inconsistent.
% 144.13/19.69 | | |
% 144.13/19.69 | | Case 2:
% 144.13/19.69 | | |
% 144.13/19.69 | | | (528) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] :
% 144.13/19.69 | | | ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_17_4, all_17_3,
% 144.13/19.69 | | | v1) = 0 & lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0) &
% 144.13/19.69 | | | model_max(all_17_4, all_17_3, all_17_2) = v0)))
% 144.13/19.69 | | |
% 144.13/19.69 | | | DELTA: instantiating (528) with fresh symbols all_30_0, all_30_1,
% 144.13/19.69 | | | all_30_2, all_30_3 gives:
% 144.13/19.70 | | | (529) $i(all_30_2) & ((all_30_1 = 0 & ~ (all_30_0 = 0) &
% 144.13/19.70 | | | model_max(all_17_4, all_17_3, all_30_2) = 0 &
% 144.13/19.70 | | | lesseq(all_17_2, all_30_2) = all_30_0) | ( ~ (all_30_3 = 0) &
% 144.13/19.70 | | | model_max(all_17_4, all_17_3, all_17_2) = all_30_3))
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (529) implies:
% 144.13/19.70 | | | (530) $i(all_30_2)
% 144.13/19.70 | | | (531) (all_30_1 = 0 & ~ (all_30_0 = 0) & model_max(all_17_4, all_17_3,
% 144.13/19.70 | | | all_30_2) = 0 & lesseq(all_17_2, all_30_2) = all_30_0) | ( ~
% 144.13/19.70 | | | (all_30_3 = 0) & model_max(all_17_4, all_17_3, all_17_2) =
% 144.13/19.70 | | | all_30_3)
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (30) with all_17_4, all_17_3, all_17_2,
% 144.13/19.70 | | | simplifying with (44), (45), (46), (525) gives:
% 144.13/19.70 | | | (532) model_ub(all_17_4, all_17_3, all_17_2) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (31) with all_17_4, all_17_3, all_17_2,
% 144.13/19.70 | | | all_17_2, simplifying with (44), (45), (46), (525), (532)
% 144.13/19.70 | | | gives:
% 144.13/19.70 | | | (533) lesseq(all_17_2, all_17_2) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (19) with all_17_4, all_17_3, all_17_2,
% 144.13/19.70 | | | simplifying with (44), (45), (46), (532) gives:
% 144.13/19.70 | | | (534) ? [v0: $i] : ? [v1: $i] : (ub(all_17_4, all_17_3, v0) = 0 &
% 144.13/19.70 | | | sum(c, v0) = v1 & lesseq(v1, all_17_2) = 0 & $i(v1) & $i(v0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (534) with fresh symbols all_45_0, all_45_1 gives:
% 144.13/19.70 | | | (535) ub(all_17_4, all_17_3, all_45_1) = 0 & sum(c, all_45_1) =
% 144.13/19.70 | | | all_45_0 & lesseq(all_45_0, all_17_2) = 0 & $i(all_45_0) &
% 144.13/19.70 | | | $i(all_45_1)
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (535) implies:
% 144.13/19.70 | | | (536) $i(all_45_1)
% 144.13/19.70 | | | (537) $i(all_45_0)
% 144.13/19.70 | | | (538) lesseq(all_45_0, all_17_2) = 0
% 144.13/19.70 | | | (539) sum(c, all_45_1) = all_45_0
% 144.13/19.70 | | | (540) ub(all_17_4, all_17_3, all_45_1) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_2, simplifying with
% 144.13/19.70 | | | (46), (533) gives:
% 144.13/19.70 | | | (541) ? [v0: $i] : ? [v1: $i] : (summation(all_17_2) = v1 &
% 144.13/19.70 | | | summation(all_17_2) = v0 & lesseq(v0, v1) = 0 & $i(v1) &
% 144.13/19.70 | | | $i(v0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (10) with all_45_0, all_17_2, simplifying with
% 144.13/19.70 | | | (46), (537), (538) gives:
% 144.13/19.70 | | | (542) max(all_45_0, all_17_2) = all_17_2
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (5) with all_45_0, all_17_2, simplifying with
% 144.13/19.70 | | | (46), (537), (538) gives:
% 144.13/19.70 | | | (543) ? [v0: $i] : ? [v1: $i] : (summation(all_45_0) = v0 &
% 144.13/19.70 | | | summation(all_17_2) = v1 & lesseq(v0, v1) = 0 & $i(v1) &
% 144.13/19.70 | | | $i(v0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (12) with all_17_4, all_17_3, all_45_1,
% 144.13/19.70 | | | simplifying with (44), (45), (536), (540) gives:
% 144.13/19.70 | | | (544) lesseq(all_17_3, all_45_1) = 0 & lesseq(all_17_4, all_45_1) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (544) implies:
% 144.13/19.70 | | | (545) lesseq(all_17_4, all_45_1) = 0
% 144.13/19.70 | | | (546) lesseq(all_17_3, all_45_1) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (543) with fresh symbols all_59_0, all_59_1 gives:
% 144.13/19.70 | | | (547) summation(all_45_0) = all_59_1 & summation(all_17_2) = all_59_0 &
% 144.13/19.70 | | | lesseq(all_59_1, all_59_0) = 0 & $i(all_59_0) & $i(all_59_1)
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (547) implies:
% 144.13/19.70 | | | (548) lesseq(all_59_1, all_59_0) = 0
% 144.13/19.70 | | | (549) summation(all_17_2) = all_59_0
% 144.13/19.70 | | | (550) summation(all_45_0) = all_59_1
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (541) with fresh symbols all_61_0, all_61_1 gives:
% 144.13/19.70 | | | (551) summation(all_17_2) = all_61_0 & summation(all_17_2) = all_61_1 &
% 144.13/19.70 | | | lesseq(all_61_1, all_61_0) = 0 & $i(all_61_0) & $i(all_61_1)
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (551) implies:
% 144.13/19.70 | | | (552) summation(all_17_2) = all_61_1
% 144.13/19.70 | | | (553) summation(all_17_2) = all_61_0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (35) with all_61_1, all_61_0, all_17_2,
% 144.13/19.70 | | | simplifying with (552), (553) gives:
% 144.13/19.70 | | | (554) all_61_0 = all_61_1
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (35) with all_59_0, all_61_0, all_17_2,
% 144.13/19.70 | | | simplifying with (549), (553) gives:
% 144.13/19.70 | | | (555) all_61_0 = all_59_0
% 144.13/19.70 | | |
% 144.13/19.70 | | | COMBINE_EQS: (554), (555) imply:
% 144.13/19.70 | | | (556) all_61_1 = all_59_0
% 144.13/19.70 | | |
% 144.13/19.70 | | | SIMP: (556) implies:
% 144.13/19.70 | | | (557) all_61_1 = all_59_0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (8) with all_45_1, all_17_4, simplifying with
% 144.13/19.70 | | | (44), (536), (545) gives:
% 144.13/19.70 | | | (558) max(all_45_1, all_17_4) = all_45_1
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (10) with all_17_4, all_45_1, simplifying with
% 144.13/19.70 | | | (44), (536), (545) gives:
% 144.13/19.70 | | | (559) max(all_17_4, all_45_1) = all_45_1
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (8) with all_45_1, all_17_3, simplifying with
% 144.13/19.70 | | | (45), (536), (546) gives:
% 144.13/19.70 | | | (560) max(all_45_1, all_17_3) = all_45_1
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (9) with all_45_0, all_17_2, all_17_2,
% 144.13/19.70 | | | simplifying with (46), (537), (542) gives:
% 144.13/19.70 | | | (561) all_45_0 = all_17_2 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.13/19.70 | | | lesseq(all_17_2, all_45_0) = v0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (16) with all_17_4, all_45_1, all_17_2,
% 144.13/19.70 | | | all_45_1, all_45_0, simplifying with (44), (46), (536),
% 144.13/19.70 | | | (538), (539), (559) gives:
% 144.13/19.70 | | | (562) model_max(all_17_4, all_45_1, all_17_2) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (16) with all_45_1, all_17_4, all_17_2,
% 144.13/19.70 | | | all_45_1, all_45_0, simplifying with (44), (46), (536),
% 144.13/19.70 | | | (538), (539), (558) gives:
% 144.13/19.70 | | | (563) model_max(all_45_1, all_17_4, all_17_2) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (11) with all_45_1, all_17_4, all_45_1,
% 144.13/19.70 | | | simplifying with (44), (536), (558) gives:
% 144.13/19.70 | | | (564) all_45_1 = all_17_4 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.13/19.70 | | | lesseq(all_45_1, all_17_4) = v0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (16) with all_45_1, all_17_3, all_17_2,
% 144.13/19.70 | | | all_45_1, all_45_0, simplifying with (45), (46), (536),
% 144.13/19.70 | | | (538), (539), (560) gives:
% 144.13/19.70 | | | (565) model_max(all_45_1, all_17_3, all_17_2) = 0
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (11) with all_45_1, all_17_3, all_45_1,
% 144.13/19.70 | | | simplifying with (45), (536), (560) gives:
% 144.13/19.70 | | | (566) all_45_1 = all_17_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.13/19.70 | | | lesseq(all_45_1, all_17_3) = v0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (27) with all_17_4, all_45_1, all_17_2, 0,
% 144.13/19.70 | | | all_17_2, simplifying with (44), (46), (536), (562) gives:
% 144.13/19.70 | | | (567) ? [v0: int] : ((v0 = 0 & lesseq(all_17_2, all_17_2) = 0) | ( ~
% 144.13/19.70 | | | (v0 = 0) & minsol_model_max(all_17_4, all_45_1, all_17_2) =
% 144.13/19.70 | | | v0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (22) with all_17_4, all_45_1, all_17_2,
% 144.13/19.70 | | | simplifying with (44), (46), (536), (562) gives:
% 144.13/19.70 | | | (568) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] :
% 144.13/19.70 | | | ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_17_4, all_45_1,
% 144.13/19.70 | | | v1) = 0 & lesseq(all_17_2, v1) = v3) | (v0 = 0 &
% 144.13/19.70 | | | minsol_model_max(all_17_4, all_45_1, all_17_2) = 0)))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (27) with all_45_1, all_17_4, all_17_2, 0,
% 144.13/19.70 | | | all_17_2, simplifying with (44), (46), (536), (563) gives:
% 144.13/19.70 | | | (569) ? [v0: int] : ((v0 = 0 & lesseq(all_17_2, all_17_2) = 0) | ( ~
% 144.13/19.70 | | | (v0 = 0) & minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.13/19.70 | | | v0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (22) with all_45_1, all_17_4, all_17_2,
% 144.13/19.70 | | | simplifying with (44), (46), (536), (563) gives:
% 144.13/19.70 | | | (570) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] :
% 144.13/19.70 | | | ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_45_1, all_17_4,
% 144.13/19.70 | | | v1) = 0 & lesseq(all_17_2, v1) = v3) | (v0 = 0 &
% 144.13/19.70 | | | minsol_model_max(all_45_1, all_17_4, all_17_2) = 0)))
% 144.13/19.70 | | |
% 144.13/19.70 | | | GROUND_INST: instantiating (22) with all_45_1, all_17_3, all_17_2,
% 144.13/19.70 | | | simplifying with (45), (46), (536), (565) gives:
% 144.13/19.70 | | | (571) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] :
% 144.13/19.70 | | | ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_45_1, all_17_3,
% 144.13/19.70 | | | v1) = 0 & lesseq(all_17_2, v1) = v3) | (v0 = 0 &
% 144.13/19.70 | | | minsol_model_max(all_45_1, all_17_3, all_17_2) = 0)))
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (567) with fresh symbol all_111_0 gives:
% 144.13/19.70 | | | (572) (all_111_0 = 0 & lesseq(all_17_2, all_17_2) = 0) | ( ~ (all_111_0
% 144.13/19.70 | | | = 0) & minsol_model_max(all_17_4, all_45_1, all_17_2) =
% 144.13/19.70 | | | all_111_0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (569) with fresh symbol all_112_0 gives:
% 144.13/19.70 | | | (573) (all_112_0 = 0 & lesseq(all_17_2, all_17_2) = 0) | ( ~ (all_112_0
% 144.13/19.70 | | | = 0) & minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.13/19.70 | | | all_112_0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (571) with fresh symbols all_121_0, all_121_1,
% 144.13/19.70 | | | all_121_2, all_121_3 gives:
% 144.13/19.70 | | | (574) $i(all_121_2) & ((all_121_1 = 0 & ~ (all_121_0 = 0) &
% 144.13/19.70 | | | model_max(all_45_1, all_17_3, all_121_2) = 0 &
% 144.13/19.70 | | | lesseq(all_17_2, all_121_2) = all_121_0) | (all_121_3 = 0 &
% 144.13/19.70 | | | minsol_model_max(all_45_1, all_17_3, all_17_2) = 0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (574) implies:
% 144.13/19.70 | | | (575) $i(all_121_2)
% 144.13/19.70 | | | (576) (all_121_1 = 0 & ~ (all_121_0 = 0) & model_max(all_45_1,
% 144.13/19.70 | | | all_17_3, all_121_2) = 0 & lesseq(all_17_2, all_121_2) =
% 144.13/19.70 | | | all_121_0) | (all_121_3 = 0 & minsol_model_max(all_45_1,
% 144.13/19.70 | | | all_17_3, all_17_2) = 0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (570) with fresh symbols all_123_0, all_123_1,
% 144.13/19.70 | | | all_123_2, all_123_3 gives:
% 144.13/19.70 | | | (577) $i(all_123_2) & ((all_123_1 = 0 & ~ (all_123_0 = 0) &
% 144.13/19.70 | | | model_max(all_45_1, all_17_4, all_123_2) = 0 &
% 144.13/19.70 | | | lesseq(all_17_2, all_123_2) = all_123_0) | (all_123_3 = 0 &
% 144.13/19.70 | | | minsol_model_max(all_45_1, all_17_4, all_17_2) = 0))
% 144.13/19.70 | | |
% 144.13/19.70 | | | ALPHA: (577) implies:
% 144.13/19.70 | | | (578) $i(all_123_2)
% 144.13/19.70 | | | (579) (all_123_1 = 0 & ~ (all_123_0 = 0) & model_max(all_45_1,
% 144.13/19.70 | | | all_17_4, all_123_2) = 0 & lesseq(all_17_2, all_123_2) =
% 144.13/19.70 | | | all_123_0) | (all_123_3 = 0 & minsol_model_max(all_45_1,
% 144.13/19.70 | | | all_17_4, all_17_2) = 0)
% 144.13/19.70 | | |
% 144.13/19.70 | | | DELTA: instantiating (568) with fresh symbols all_127_0, all_127_1,
% 144.13/19.70 | | | all_127_2, all_127_3 gives:
% 144.28/19.70 | | | (580) $i(all_127_2) & ((all_127_1 = 0 & ~ (all_127_0 = 0) &
% 144.28/19.70 | | | model_max(all_17_4, all_45_1, all_127_2) = 0 &
% 144.28/19.70 | | | lesseq(all_17_2, all_127_2) = all_127_0) | (all_127_3 = 0 &
% 144.28/19.70 | | | minsol_model_max(all_17_4, all_45_1, all_17_2) = 0))
% 144.28/19.70 | | |
% 144.28/19.70 | | | ALPHA: (580) implies:
% 144.28/19.71 | | | (581) $i(all_127_2)
% 144.28/19.71 | | | (582) (all_127_1 = 0 & ~ (all_127_0 = 0) & model_max(all_17_4,
% 144.28/19.71 | | | all_45_1, all_127_2) = 0 & lesseq(all_17_2, all_127_2) =
% 144.28/19.71 | | | all_127_0) | (all_127_3 = 0 & minsol_model_max(all_17_4,
% 144.28/19.71 | | | all_45_1, all_17_2) = 0)
% 144.28/19.71 | | |
% 144.28/19.71 | | | BETA: splitting (531) gives:
% 144.28/19.71 | | |
% 144.28/19.71 | | | Case 1:
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | (583) all_30_1 = 0 & ~ (all_30_0 = 0) & model_max(all_17_4,
% 144.28/19.71 | | | | all_17_3, all_30_2) = 0 & lesseq(all_17_2, all_30_2) =
% 144.28/19.71 | | | | all_30_0
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | ALPHA: (583) implies:
% 144.28/19.71 | | | | (584) ~ (all_30_0 = 0)
% 144.28/19.71 | | | | (585) lesseq(all_17_2, all_30_2) = all_30_0
% 144.28/19.71 | | | | (586) model_max(all_17_4, all_17_3, all_30_2) = 0
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | GROUND_INST: instantiating (29) with all_45_1, all_17_3, all_17_2, 0,
% 144.28/19.71 | | | | all_30_2, all_30_0, simplifying with (45), (46), (530),
% 144.28/19.71 | | | | (536), (565), (585) gives:
% 144.28/19.71 | | | | (587) all_30_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.28/19.71 | | | | minsol_model_max(all_45_1, all_17_3, all_17_2) = v0) | ( ~
% 144.28/19.71 | | | | (v0 = 0) & model_max(all_45_1, all_17_3, all_30_2) = v0))
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | GROUND_INST: instantiating (29) with all_45_1, all_17_4, all_17_2, 0,
% 144.28/19.71 | | | | all_30_2, all_30_0, simplifying with (44), (46), (530),
% 144.28/19.71 | | | | (536), (563), (585) gives:
% 144.28/19.71 | | | | (588) all_30_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.28/19.71 | | | | minsol_model_max(all_45_1, all_17_4, all_17_2) = v0) | ( ~
% 144.28/19.71 | | | | (v0 = 0) & model_max(all_45_1, all_17_4, all_30_2) = v0))
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | GROUND_INST: instantiating (29) with all_17_4, all_45_1, all_17_2, 0,
% 144.28/19.71 | | | | all_30_2, all_30_0, simplifying with (44), (46), (530),
% 144.28/19.71 | | | | (536), (562), (585) gives:
% 144.28/19.71 | | | | (589) all_30_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.28/19.71 | | | | minsol_model_max(all_17_4, all_45_1, all_17_2) = v0) | ( ~
% 144.28/19.71 | | | | (v0 = 0) & model_max(all_17_4, all_45_1, all_30_2) = v0))
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | GROUND_INST: instantiating (33) with all_17_4, all_17_3, all_17_2,
% 144.28/19.71 | | | | all_30_2, all_30_0, simplifying with (44), (45), (46),
% 144.28/19.71 | | | | (525), (530), (585) gives:
% 144.28/19.71 | | | | (590) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.28/19.71 | | | | all_17_3, all_30_2) = v0)
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | GROUND_INST: instantiating (14) with all_17_4, all_17_3, all_30_2,
% 144.28/19.71 | | | | simplifying with (44), (45), (530), (586) gives:
% 144.28/19.71 | | | | (591) ? [v0: $i] : ? [v1: $i] : (max(all_17_4, all_17_3) = v0 &
% 144.28/19.71 | | | | sum(c, v0) = v1 & lesseq(v1, all_30_2) = 0 & $i(v1) & $i(v0))
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | DELTA: instantiating (591) with fresh symbols all_164_0, all_164_1
% 144.28/19.71 | | | | gives:
% 144.28/19.71 | | | | (592) max(all_17_4, all_17_3) = all_164_1 & sum(c, all_164_1) =
% 144.28/19.71 | | | | all_164_0 & lesseq(all_164_0, all_30_2) = 0 & $i(all_164_0) &
% 144.28/19.71 | | | | $i(all_164_1)
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | ALPHA: (592) implies:
% 144.28/19.71 | | | | (593) $i(all_164_1)
% 144.28/19.71 | | | | (594) $i(all_164_0)
% 144.28/19.71 | | | | (595) lesseq(all_164_0, all_30_2) = 0
% 144.28/19.71 | | | | (596) sum(c, all_164_1) = all_164_0
% 144.28/19.71 | | | | (597) max(all_17_4, all_17_3) = all_164_1
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | BETA: splitting (590) gives:
% 144.28/19.71 | | | |
% 144.28/19.71 | | | | Case 1:
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | (598) all_30_0 = 0
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | REDUCE: (584), (598) imply:
% 144.28/19.71 | | | | | (599) $false
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | CLOSE: (599) is inconsistent.
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | Case 2:
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | (600) ? [v0: int] : ( ~ (v0 = 0) & model_ub(all_17_4, all_17_3,
% 144.28/19.71 | | | | | all_30_2) = v0)
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | DELTA: instantiating (600) with fresh symbol all_188_0 gives:
% 144.28/19.71 | | | | | (601) ~ (all_188_0 = 0) & model_ub(all_17_4, all_17_3, all_30_2) =
% 144.28/19.71 | | | | | all_188_0
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | ALPHA: (601) implies:
% 144.28/19.71 | | | | | (602) ~ (all_188_0 = 0)
% 144.28/19.71 | | | | | (603) model_ub(all_17_4, all_17_3, all_30_2) = all_188_0
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | BETA: splitting (589) gives:
% 144.28/19.71 | | | | |
% 144.28/19.71 | | | | | Case 1:
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | (604) all_30_0 = 0
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | REDUCE: (584), (604) imply:
% 144.28/19.71 | | | | | | (605) $false
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | CLOSE: (605) is inconsistent.
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | Case 2:
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | (606) ? [v0: int] : (( ~ (v0 = 0) & minsol_model_max(all_17_4,
% 144.28/19.71 | | | | | | all_45_1, all_17_2) = v0) | ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | model_max(all_17_4, all_45_1, all_30_2) = v0))
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | DELTA: instantiating (606) with fresh symbol all_193_0 gives:
% 144.28/19.71 | | | | | | (607) ( ~ (all_193_0 = 0) & minsol_model_max(all_17_4, all_45_1,
% 144.28/19.71 | | | | | | all_17_2) = all_193_0) | ( ~ (all_193_0 = 0) &
% 144.28/19.71 | | | | | | model_max(all_17_4, all_45_1, all_30_2) = all_193_0)
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | BETA: splitting (587) gives:
% 144.28/19.71 | | | | | |
% 144.28/19.71 | | | | | | Case 1:
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | (608) all_30_0 = 0
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | REDUCE: (584), (608) imply:
% 144.28/19.71 | | | | | | | (609) $false
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | CLOSE: (609) is inconsistent.
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | Case 2:
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | (610) ? [v0: int] : (( ~ (v0 = 0) & minsol_model_max(all_45_1,
% 144.28/19.71 | | | | | | | all_17_3, all_17_2) = v0) | ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | model_max(all_45_1, all_17_3, all_30_2) = v0))
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | DELTA: instantiating (610) with fresh symbol all_202_0 gives:
% 144.28/19.71 | | | | | | | (611) ( ~ (all_202_0 = 0) & minsol_model_max(all_45_1,
% 144.28/19.71 | | | | | | | all_17_3, all_17_2) = all_202_0) | ( ~ (all_202_0 =
% 144.28/19.71 | | | | | | | 0) & model_max(all_45_1, all_17_3, all_30_2) =
% 144.28/19.71 | | | | | | | all_202_0)
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | BETA: splitting (588) gives:
% 144.28/19.71 | | | | | | |
% 144.28/19.71 | | | | | | | Case 1:
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | (612) all_30_0 = 0
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | REDUCE: (584), (612) imply:
% 144.28/19.71 | | | | | | | | (613) $false
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | CLOSE: (613) is inconsistent.
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | Case 2:
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | (614) ? [v0: int] : (( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | | minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.28/19.71 | | | | | | | | v0) | ( ~ (v0 = 0) & model_max(all_45_1, all_17_4,
% 144.28/19.71 | | | | | | | | all_30_2) = v0))
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | DELTA: instantiating (614) with fresh symbol all_206_0 gives:
% 144.28/19.71 | | | | | | | | (615) ( ~ (all_206_0 = 0) & minsol_model_max(all_45_1,
% 144.28/19.71 | | | | | | | | all_17_4, all_17_2) = all_206_0) | ( ~ (all_206_0 =
% 144.28/19.71 | | | | | | | | 0) & model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.71 | | | | | | | | all_206_0)
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | BETA: splitting (561) gives:
% 144.28/19.71 | | | | | | | |
% 144.28/19.71 | | | | | | | | Case 1:
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | (616) all_45_0 = all_17_2
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | REDUCE: (539), (616) imply:
% 144.28/19.71 | | | | | | | | | (617) sum(c, all_45_1) = all_17_2
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | GROUND_INST: instantiating (17) with all_45_1, all_17_4,
% 144.28/19.71 | | | | | | | | | all_30_2, all_45_1, all_17_2, all_30_0,
% 144.28/19.71 | | | | | | | | | simplifying with (44), (530), (536), (558), (585),
% 144.28/19.71 | | | | | | | | | (617) gives:
% 144.28/19.71 | | | | | | | | | (618) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | | | model_max(all_45_1, all_17_4, all_30_2) = v0)
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | GROUND_INST: instantiating (17) with all_17_4, all_45_1,
% 144.28/19.71 | | | | | | | | | all_30_2, all_45_1, all_17_2, all_30_0,
% 144.28/19.71 | | | | | | | | | simplifying with (44), (530), (536), (559), (585),
% 144.28/19.71 | | | | | | | | | (617) gives:
% 144.28/19.71 | | | | | | | | | (619) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | | | model_max(all_17_4, all_45_1, all_30_2) = v0)
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | GROUND_INST: instantiating (11) with all_17_4, all_17_3,
% 144.28/19.71 | | | | | | | | | all_164_1, simplifying with (44), (45), (597)
% 144.28/19.71 | | | | | | | | | gives:
% 144.28/19.71 | | | | | | | | | (620) all_164_1 = all_17_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | | | lesseq(all_17_4, all_17_3) = v0)
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_3,
% 144.28/19.71 | | | | | | | | | all_164_1, simplifying with (44), (45), (597)
% 144.28/19.71 | | | | | | | | | gives:
% 144.28/19.71 | | | | | | | | | (621) all_164_1 = all_17_4 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.71 | | | | | | | | | lesseq(all_17_3, all_17_4) = v0)
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | GROUND_INST: instantiating (21) with all_17_4, all_17_3,
% 144.28/19.71 | | | | | | | | | all_30_2, all_188_0, all_164_1, all_164_0,
% 144.28/19.71 | | | | | | | | | simplifying with (44), (45), (530), (593), (596),
% 144.28/19.71 | | | | | | | | | (603) gives:
% 144.28/19.71 | | | | | | | | | (622) all_188_0 = 0 | ? [v0: any] : ? [v1: any] :
% 144.28/19.71 | | | | | | | | | (ub(all_17_4, all_17_3, all_164_1) = v0 &
% 144.28/19.71 | | | | | | | | | lesseq(all_164_0, all_30_2) = v1 & ( ~ (v1 = 0) |
% 144.28/19.71 | | | | | | | | | ~ (v0 = 0)))
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | BETA: splitting (622) gives:
% 144.28/19.71 | | | | | | | | |
% 144.28/19.71 | | | | | | | | | Case 1:
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | (623) all_188_0 = 0
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | REDUCE: (602), (623) imply:
% 144.28/19.71 | | | | | | | | | | (624) $false
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | CLOSE: (624) is inconsistent.
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | Case 2:
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | (625) ? [v0: any] : ? [v1: any] : (ub(all_17_4,
% 144.28/19.71 | | | | | | | | | | all_17_3, all_164_1) = v0 & lesseq(all_164_0,
% 144.28/19.71 | | | | | | | | | | all_30_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | DELTA: instantiating (625) with fresh symbols all_282_0,
% 144.28/19.71 | | | | | | | | | | all_282_1 gives:
% 144.28/19.71 | | | | | | | | | | (626) ub(all_17_4, all_17_3, all_164_1) = all_282_1 &
% 144.28/19.71 | | | | | | | | | | lesseq(all_164_0, all_30_2) = all_282_0 & ( ~
% 144.28/19.71 | | | | | | | | | | (all_282_0 = 0) | ~ (all_282_1 = 0))
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | ALPHA: (626) implies:
% 144.28/19.71 | | | | | | | | | | (627) lesseq(all_164_0, all_30_2) = all_282_0
% 144.28/19.71 | | | | | | | | | | (628) ub(all_17_4, all_17_3, all_164_1) = all_282_1
% 144.28/19.71 | | | | | | | | | | (629) ~ (all_282_0 = 0) | ~ (all_282_1 = 0)
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | BETA: splitting (619) gives:
% 144.28/19.71 | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | Case 1:
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | (630) all_30_0 = 0
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | REDUCE: (584), (630) imply:
% 144.28/19.71 | | | | | | | | | | | (631) $false
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | CLOSE: (631) is inconsistent.
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | Case 2:
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | (632) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4,
% 144.28/19.71 | | | | | | | | | | | all_45_1, all_30_2) = v0)
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | DELTA: instantiating (632) with fresh symbol all_287_0
% 144.28/19.71 | | | | | | | | | | | gives:
% 144.28/19.71 | | | | | | | | | | | (633) ~ (all_287_0 = 0) & model_max(all_17_4, all_45_1,
% 144.28/19.71 | | | | | | | | | | | all_30_2) = all_287_0
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | ALPHA: (633) implies:
% 144.28/19.71 | | | | | | | | | | | (634) ~ (all_287_0 = 0)
% 144.28/19.71 | | | | | | | | | | | (635) model_max(all_17_4, all_45_1, all_30_2) =
% 144.28/19.71 | | | | | | | | | | | all_287_0
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | BETA: splitting (618) gives:
% 144.28/19.71 | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | Case 1:
% 144.28/19.71 | | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | | (636) all_30_0 = 0
% 144.28/19.71 | | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | | REDUCE: (584), (636) imply:
% 144.28/19.71 | | | | | | | | | | | | (637) $false
% 144.28/19.71 | | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | | CLOSE: (637) is inconsistent.
% 144.28/19.71 | | | | | | | | | | | |
% 144.28/19.71 | | | | | | | | | | | Case 2:
% 144.28/19.71 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | (638) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_45_1,
% 144.28/19.72 | | | | | | | | | | | | all_17_4, all_30_2) = v0)
% 144.28/19.72 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | DELTA: instantiating (638) with fresh symbol all_297_0
% 144.28/19.72 | | | | | | | | | | | | gives:
% 144.28/19.72 | | | | | | | | | | | | (639) ~ (all_297_0 = 0) & model_max(all_45_1, all_17_4,
% 144.28/19.72 | | | | | | | | | | | | all_30_2) = all_297_0
% 144.28/19.72 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | ALPHA: (639) implies:
% 144.28/19.72 | | | | | | | | | | | | (640) ~ (all_297_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | (641) model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | all_297_0
% 144.28/19.72 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | GROUND_INST: instantiating (36) with 0, all_282_0, all_30_2,
% 144.28/19.72 | | | | | | | | | | | | all_164_0, simplifying with (595), (627) gives:
% 144.28/19.72 | | | | | | | | | | | | (642) all_282_0 = 0
% 144.28/19.72 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | BETA: splitting (629) gives:
% 144.28/19.72 | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | (643) ~ (all_282_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | REDUCE: (642), (643) imply:
% 144.28/19.72 | | | | | | | | | | | | | (644) $false
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | CLOSE: (644) is inconsistent.
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | (645) ~ (all_282_1 = 0)
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | BETA: splitting (579) gives:
% 144.28/19.72 | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | (646) all_123_1 = 0 & ~ (all_123_0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | model_max(all_45_1, all_17_4, all_123_2) = 0 &
% 144.28/19.72 | | | | | | | | | | | | | | lesseq(all_17_2, all_123_2) = all_123_0
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | ALPHA: (646) implies:
% 144.28/19.72 | | | | | | | | | | | | | | (647) ~ (all_123_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | (648) lesseq(all_17_2, all_123_2) = all_123_0
% 144.28/19.72 | | | | | | | | | | | | | | (649) model_max(all_45_1, all_17_4, all_123_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | (650) all_127_1 = 0 & ~ (all_127_0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | model_max(all_17_4, all_45_1, all_127_2) = 0 &
% 144.28/19.72 | | | | | | | | | | | | | | | lesseq(all_17_2, all_127_2) = all_127_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | (651) ~ (all_127_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | (652) lesseq(all_17_2, all_127_2) = all_127_0
% 144.28/19.72 | | | | | | | | | | | | | | | (653) model_max(all_17_4, all_45_1, all_127_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | REF_CLOSE: (17), (39), (41), (44), (45), (536), (559), (560),
% 144.28/19.72 | | | | | | | | | | | | | | | (575), (576), (581), (611), (617), (651), (652),
% 144.28/19.72 | | | | | | | | | | | | | | | (653) are inconsistent by sub-proof #7.
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | (654) all_127_3 = 0 & minsol_model_max(all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | all_45_1, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | (655) minsol_model_max(all_17_4, all_45_1, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | (656) ~ (all_193_0 = 0) & minsol_model_max(all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | all_45_1, all_17_2) = all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | (657) ~ (all_193_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | (658) minsol_model_max(all_17_4, all_45_1, all_17_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | REF_CLOSE: (41), (655), (657), (658) are inconsistent by
% 144.28/19.72 | | | | | | | | | | | | | | | | sub-proof #6.
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_45_1, all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | all_123_2, all_45_1, all_17_2, all_123_0,
% 144.28/19.72 | | | | | | | | | | | | | | | | simplifying with (44), (536), (558), (578), (617),
% 144.28/19.72 | | | | | | | | | | | | | | | | (648) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | (659) all_123_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | model_max(all_45_1, all_17_4, all_123_2) = v0)
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (647), (649), (659) are inconsistent by
% 144.28/19.72 | | | | | | | | | | | | | | | | sub-proof #5.
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | End of split
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | End of split
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | (660) all_123_3 = 0 & minsol_model_max(all_45_1,
% 144.28/19.72 | | | | | | | | | | | | | | all_17_4, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | ALPHA: (660) implies:
% 144.28/19.72 | | | | | | | | | | | | | | (661) minsol_model_max(all_45_1, all_17_4, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | BETA: splitting (615) gives:
% 144.28/19.72 | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | (662) ~ (all_206_0 = 0) & minsol_model_max(all_45_1,
% 144.28/19.72 | | | | | | | | | | | | | | | all_17_4, all_17_2) = all_206_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | ALPHA: (662) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | (663) ~ (all_206_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | (664) minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | all_206_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_206_0, all_17_2,
% 144.28/19.72 | | | | | | | | | | | | | | | all_17_4, all_45_1, simplifying with (661), (664)
% 144.28/19.72 | | | | | | | | | | | | | | | gives:
% 144.28/19.72 | | | | | | | | | | | | | | | (665) all_206_0 = 0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | REDUCE: (663), (665) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | (666) $false
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | CLOSE: (666) is inconsistent.
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | (667) ~ (all_206_0 = 0) & model_max(all_45_1, all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | all_30_2) = all_206_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | ALPHA: (667) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | (668) model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | all_206_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_297_0, all_206_0,
% 144.28/19.72 | | | | | | | | | | | | | | | all_30_2, all_17_4, all_45_1, simplifying with
% 144.28/19.72 | | | | | | | | | | | | | | | (641), (668) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | (669) all_297_0 = all_206_0
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | REDUCE: (640), (669) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | (670) ~ (all_206_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 144.28/19.72 | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | (671) all_127_1 = 0 & ~ (all_127_0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | model_max(all_17_4, all_45_1, all_127_2) = 0 &
% 144.28/19.72 | | | | | | | | | | | | | | | | lesseq(all_17_2, all_127_2) = all_127_0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | (672) ~ (all_127_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | (673) lesseq(all_17_2, all_127_2) = all_127_0
% 144.28/19.72 | | | | | | | | | | | | | | | | (674) model_max(all_17_4, all_45_1, all_127_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | REF_CLOSE: (17), (39), (41), (44), (45), (536), (559), (560),
% 144.28/19.72 | | | | | | | | | | | | | | | | (575), (576), (581), (611), (617), (672), (673),
% 144.28/19.72 | | | | | | | | | | | | | | | | (674) are inconsistent by sub-proof #7.
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | (675) all_127_3 = 0 & minsol_model_max(all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | all_45_1, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | ALPHA: (675) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | (676) minsol_model_max(all_17_4, all_45_1, all_17_2) = 0
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | (677) ~ (all_193_0 = 0) & minsol_model_max(all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_45_1, all_17_2) = all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (678) ~ (all_193_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | (679) minsol_model_max(all_17_4, all_45_1, all_17_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (676), (678), (679) are inconsistent by
% 144.28/19.72 | | | | | | | | | | | | | | | | | sub-proof #6.
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | (680) ~ (all_193_0 = 0) & model_max(all_17_4, all_45_1,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_30_2) = all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | ALPHA: (680) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (681) model_max(all_17_4, all_45_1, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_287_0, all_193_0,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_30_2, all_45_1, all_17_4, simplifying with
% 144.28/19.72 | | | | | | | | | | | | | | | | | (635), (681) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (682) all_287_0 = all_193_0
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | REDUCE: (634), (682) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (683) ~ (all_193_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_17_4, all_17_3,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_164_1, all_282_1, simplifying with (44), (45),
% 144.28/19.72 | | | | | | | | | | | | | | | | | (593), (628) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (684) all_282_1 = 0 | ? [v0: any] : ? [v1: any] :
% 144.28/19.72 | | | | | | | | | | | | | | | | | (lesseq(all_17_3, all_164_1) = v1 &
% 144.28/19.72 | | | | | | | | | | | | | | | | | lesseq(all_17_4, all_164_1) = v0 & ( ~ (v1 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | ~ (v0 = 0)))
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_17_4, all_45_1,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_30_2, all_193_0, simplifying with (44), (530),
% 144.28/19.72 | | | | | | | | | | | | | | | | | (536), (681) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (685) all_193_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | | minsol_model_max(all_17_4, all_45_1, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | v0)
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_45_1, all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | | all_30_2, all_206_0, simplifying with (44), (530),
% 144.28/19.72 | | | | | | | | | | | | | | | | | (536), (668) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | (686) all_206_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | | minsol_model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | v0)
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | BETA: splitting (685) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (687) all_193_0 = 0
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | REDUCE: (683), (687) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (688) $false
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | CLOSE: (688) is inconsistent.
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (689) ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | | | minsol_model_max(all_17_4, all_45_1, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | | v0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | DELTA: instantiating (689) with fresh symbol all_589_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (690) ~ (all_589_0 = 0) & minsol_model_max(all_17_4,
% 144.28/19.72 | | | | | | | | | | | | | | | | | | all_45_1, all_30_2) = all_589_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (691) ~ (all_589_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | (692) minsol_model_max(all_17_4, all_45_1, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | | all_589_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (693) all_206_0 = 0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | REDUCE: (670), (693) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (694) $false
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | CLOSE: (694) is inconsistent.
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (695) ? [v0: int] : ( ~ (v0 = 0) &
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | minsol_model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | v0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (695) with fresh symbol all_607_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (696) ~ (all_607_0 = 0) & minsol_model_max(all_45_1,
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | all_17_4, all_30_2) = all_607_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (697) ~ (all_607_0 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | (698) minsol_model_max(all_45_1, all_17_4, all_30_2) =
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | all_607_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (699) all_282_1 = 0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (645), (699) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (700) $false
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | CLOSE: (700) is inconsistent.
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (701) ? [v0: any] : ? [v1: any] : (lesseq(all_17_3,
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | all_164_1) = v1 & lesseq(all_17_4, all_164_1)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (701) with fresh symbols all_612_0,
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | all_612_1 gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (702) lesseq(all_17_3, all_164_1) = all_612_0 &
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | lesseq(all_17_4, all_164_1) = all_612_1 & ( ~
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (all_612_0 = 0) | ~ (all_612_1 = 0))
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (702) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (703) lesseq(all_17_4, all_164_1) = all_612_1
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (704) lesseq(all_17_3, all_164_1) = all_612_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | (705) ~ (all_612_0 = 0) | ~ (all_612_1 = 0)
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | (706) all_164_1 = all_17_4
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (706) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | (707) lesseq(all_17_3, all_17_4) = all_612_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (706) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | (708) lesseq(all_17_4, all_17_4) = all_612_1
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (620) gives:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | (709) all_164_1 = all_17_3
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (709) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | (710) all_17_3 = all_17_4
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | SIMP: (710) implies:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | (711) all_17_3 = all_17_4
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (711) imply:
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | | (712) lesseq(all_17_4, all_17_4) = all_612_0
% 144.28/19.72 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_612_1, all_612_0,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_4, simplifying with (708), (712)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (713) all_612_0 = all_612_1
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (705) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (714) ~ (all_612_0 = 0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (714) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (715) ~ (all_612_1 = 0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | all_612_1, simplifying with (44), (708) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (716) all_612_1 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (716) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (717) $false
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (718) ~ (all_612_1 = 0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | all_612_1, simplifying with (44), (708) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (719) all_612_1 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (719) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (720) $false
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (720) is inconsistent.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (721) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (721) with fresh symbol all_680_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (722) ~ (all_680_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_680_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (722) implies:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (723) ~ (all_680_0 = 0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (724) lesseq(all_17_4, all_17_3) = all_680_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_612_1, simplifying with (44), (708) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (725) all_612_1 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_3, all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_680_0, simplifying with (44), (45), (724)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (726) all_680_0 = 0 | lesseq(all_17_3, all_17_4) = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_17_4, all_45_1,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_30_2, all_589_0, simplifying with (44), (530),
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (536), (692) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (727) all_589_0 = 0 | ? [v0: int] : ? [v1: $i] : ?
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v2 = 0 & ~
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) & model_max(all_17_4, all_45_1, v1)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | = 0 & lesseq(all_30_2, v1) = v3) | ( ~ (v0 =
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | 0) & model_max(all_17_4, all_45_1,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_30_2) = v0)))
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (728) lesseq(all_17_3, all_17_4) = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (729) all_589_0 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (729) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (730) $false
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (730) is inconsistent.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_612_0, 0, all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, simplifying with (707), (728) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (731) all_612_0 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (725), (731) are inconsistent by sub-proof
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | #4.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (732) all_680_0 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (732) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (733) $false
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (733) is inconsistent.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | (734) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | all_17_4) = v0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (734) with fresh symbol all_648_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_648_0 = 0) & lesseq(all_17_3, all_17_4) =
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | all_648_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | (736) ~ (all_648_0 = 0)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | (737) lesseq(all_17_3, all_17_4) = all_648_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (620) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (738) all_164_1 = all_17_3
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (738) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (739) lesseq(all_17_3, all_17_3) = all_612_0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (738) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (740) lesseq(all_17_4, all_17_3) = all_612_1
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_4, all_17_3,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_648_0, simplifying with (44), (45), (737)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (741) all_648_0 = 0 | lesseq(all_17_4, all_17_3) = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_17_3,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_612_0, simplifying with (45), (739) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (742) all_612_0 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_45_1, all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_30_2, all_607_0, simplifying with (44), (530),
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (536), (698) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (743) all_607_0 = 0 | ? [v0: int] : ? [v1: $i] : ?
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | [v2: int] : ? [v3: int] : ($i(v1) & ((v2 = 0 & ~
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) & model_max(all_45_1, all_17_4, v1)
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | = 0 & lesseq(all_30_2, v1) = v3) | ( ~ (v0 =
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | 0) & model_max(all_45_1, all_17_4,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | all_30_2) = v0)))
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | (744) lesseq(all_17_4, all_17_3) = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (743) gives:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (745) all_607_0 = 0
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (745) imply:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (746) $false
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (746) is inconsistent.
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_612_1, 0, all_17_3,
% 144.28/19.73 | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, simplifying with (740), (744) gives:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | | (747) all_612_1 = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (705), (742), (747) are inconsistent by sub-proof
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | | #4.
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (748) all_648_0 = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (748) imply:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (749) $false
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (749) is inconsistent.
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | (750) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v0)
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (750) with fresh symbol all_672_0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | (751) ~ (all_672_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | all_672_0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (751) implies:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | (752) ~ (all_672_0 = 0)
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | (753) lesseq(all_17_4, all_17_3) = all_672_0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_3, all_17_4,
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | all_672_0, simplifying with (44), (45), (753)
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | gives:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | (754) all_672_0 = 0 | lesseq(all_17_3, all_17_4) = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (755) lesseq(all_17_3, all_17_4) = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_648_0, 0, all_17_4,
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | all_17_3, simplifying with (737), (755) gives:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (756) all_648_0 = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (756) imply:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (757) $false
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (757) is inconsistent.
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (758) all_672_0 = 0
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (758) imply:
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | (759) $false
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (759) is inconsistent.
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | End of split
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | (760) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 144.39/19.73 | | | | | | | | | all_45_0) = v0)
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | DELTA: instantiating (760) with fresh symbol all_223_0 gives:
% 144.39/19.73 | | | | | | | | | (761) ~ (all_223_0 = 0) & lesseq(all_17_2, all_45_0) =
% 144.39/19.73 | | | | | | | | | all_223_0
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | ALPHA: (761) implies:
% 144.39/19.73 | | | | | | | | | (762) ~ (all_223_0 = 0)
% 144.39/19.73 | | | | | | | | | (763) lesseq(all_17_2, all_45_0) = all_223_0
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | GROUND_INST: instantiating (33) with all_17_4, all_17_3,
% 144.39/19.73 | | | | | | | | | all_17_2, all_45_0, all_223_0, simplifying with
% 144.39/19.73 | | | | | | | | | (44), (45), (46), (525), (537), (763) gives:
% 144.39/19.73 | | | | | | | | | (764) all_223_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.73 | | | | | | | | | model_ub(all_17_4, all_17_3, all_45_0) = v0)
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | GROUND_INST: instantiating (1) with all_17_2, all_164_0,
% 144.39/19.73 | | | | | | | | | all_30_2, all_30_0, simplifying with (46), (530),
% 144.39/19.73 | | | | | | | | | (585), (594), (595) gives:
% 144.39/19.73 | | | | | | | | | (765) all_30_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.73 | | | | | | | | | lesseq(all_17_2, all_164_0) = v0)
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | BETA: splitting (764) gives:
% 144.39/19.73 | | | | | | | | |
% 144.39/19.73 | | | | | | | | | Case 1:
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | (766) all_223_0 = 0
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | REDUCE: (762), (766) imply:
% 144.39/19.73 | | | | | | | | | | (767) $false
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | CLOSE: (767) is inconsistent.
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | (768) ? [v0: int] : ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.39/19.73 | | | | | | | | | | all_17_3, all_45_0) = v0)
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | DELTA: instantiating (768) with fresh symbol all_266_0
% 144.39/19.73 | | | | | | | | | | gives:
% 144.39/19.73 | | | | | | | | | | (769) ~ (all_266_0 = 0) & model_ub(all_17_4, all_17_3,
% 144.39/19.73 | | | | | | | | | | all_45_0) = all_266_0
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | ALPHA: (769) implies:
% 144.39/19.73 | | | | | | | | | | (770) ~ (all_266_0 = 0)
% 144.39/19.73 | | | | | | | | | | (771) model_ub(all_17_4, all_17_3, all_45_0) = all_266_0
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | BETA: splitting (765) gives:
% 144.39/19.73 | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | Case 1:
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | (772) all_30_0 = 0
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | REDUCE: (584), (772) imply:
% 144.39/19.73 | | | | | | | | | | | (773) $false
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | CLOSE: (773) is inconsistent.
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | Case 2:
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | (774) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2,
% 144.39/19.73 | | | | | | | | | | | all_164_0) = v0)
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | DELTA: instantiating (774) with fresh symbol all_281_0
% 144.39/19.73 | | | | | | | | | | | gives:
% 144.39/19.73 | | | | | | | | | | | (775) ~ (all_281_0 = 0) & lesseq(all_17_2, all_164_0) =
% 144.39/19.73 | | | | | | | | | | | all_281_0
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | ALPHA: (775) implies:
% 144.39/19.73 | | | | | | | | | | | (776) ~ (all_281_0 = 0)
% 144.39/19.73 | | | | | | | | | | | (777) lesseq(all_17_2, all_164_0) = all_281_0
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | BETA: splitting (572) gives:
% 144.39/19.73 | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | Case 1:
% 144.39/19.73 | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | GROUND_INST: instantiating (34) with all_17_4, all_17_3,
% 144.39/19.73 | | | | | | | | | | | | all_17_2, 0, all_164_0, all_281_0, simplifying
% 144.39/19.73 | | | | | | | | | | | | with (44), (45), (46), (532), (594), (777) gives:
% 144.39/19.73 | | | | | | | | | | | | (778) all_281_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.39/19.73 | | | | | | | | | | | | minsol_model_ub(all_17_4, all_17_3, all_17_2)
% 144.39/19.73 | | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.39/19.73 | | | | | | | | | | | | all_17_3, all_164_0) = v0))
% 144.39/19.73 | | | | | | | | | | | |
% 144.39/19.73 | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_17_4, all_17_3,
% 144.39/19.73 | | | | | | | | | | | | all_45_0, all_266_0, all_45_1, simplifying with
% 144.39/19.73 | | | | | | | | | | | | (44), (45), (536), (537), (540), (771) gives:
% 144.39/19.74 | | | | | | | | | | | | (779) all_266_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~
% 144.39/19.74 | | | | | | | | | | | | (v1 = 0) & sum(c, all_45_1) = v0 & lesseq(v0,
% 144.39/19.74 | | | | | | | | | | | | all_45_0) = v1 & $i(v0))
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | BETA: splitting (779) gives:
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | (780) all_266_0 = 0
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | REDUCE: (770), (780) imply:
% 144.39/19.74 | | | | | | | | | | | | | (781) $false
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | CLOSE: (781) is inconsistent.
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | (782) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & sum(c,
% 144.39/19.74 | | | | | | | | | | | | | all_45_1) = v0 & lesseq(v0, all_45_0) = v1 &
% 144.39/19.74 | | | | | | | | | | | | | $i(v0))
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | DELTA: instantiating (782) with fresh symbols all_553_0,
% 144.39/19.74 | | | | | | | | | | | | | all_553_1 gives:
% 144.39/19.74 | | | | | | | | | | | | | (783) ~ (all_553_0 = 0) & sum(c, all_45_1) = all_553_1
% 144.39/19.74 | | | | | | | | | | | | | & lesseq(all_553_1, all_45_0) = all_553_0 &
% 144.39/19.74 | | | | | | | | | | | | | $i(all_553_1)
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | ALPHA: (783) implies:
% 144.39/19.74 | | | | | | | | | | | | | (784) ~ (all_553_0 = 0)
% 144.39/19.74 | | | | | | | | | | | | | (785) $i(all_553_1)
% 144.39/19.74 | | | | | | | | | | | | | (786) lesseq(all_553_1, all_45_0) = all_553_0
% 144.39/19.74 | | | | | | | | | | | | | (787) sum(c, all_45_1) = all_553_1
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | BETA: splitting (778) gives:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | (788) all_281_0 = 0
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | REDUCE: (776), (788) imply:
% 144.39/19.74 | | | | | | | | | | | | | | (789) $false
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | CLOSE: (789) is inconsistent.
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | (790) ? [v0: int] : (( ~ (v0 = 0) &
% 144.39/19.74 | | | | | | | | | | | | | | minsol_model_ub(all_17_4, all_17_3, all_17_2)
% 144.39/19.74 | | | | | | | | | | | | | | = v0) | ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.39/19.74 | | | | | | | | | | | | | | all_17_3, all_164_0) = v0))
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | DELTA: instantiating (790) with fresh symbol all_603_0
% 144.39/19.74 | | | | | | | | | | | | | | gives:
% 144.39/19.74 | | | | | | | | | | | | | | (791) ( ~ (all_603_0 = 0) & minsol_model_ub(all_17_4,
% 144.39/19.74 | | | | | | | | | | | | | | all_17_3, all_17_2) = all_603_0) | ( ~
% 144.39/19.74 | | | | | | | | | | | | | | (all_603_0 = 0) & model_ub(all_17_4, all_17_3,
% 144.39/19.74 | | | | | | | | | | | | | | all_164_0) = all_603_0)
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | BETA: splitting (791) gives:
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | (792) ~ (all_603_0 = 0) & minsol_model_ub(all_17_4,
% 144.39/19.74 | | | | | | | | | | | | | | | all_17_3, all_17_2) = all_603_0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | ALPHA: (792) implies:
% 144.39/19.74 | | | | | | | | | | | | | | | (793) ~ (all_603_0 = 0)
% 144.39/19.74 | | | | | | | | | | | | | | | (794) minsol_model_ub(all_17_4, all_17_3, all_17_2) =
% 144.39/19.74 | | | | | | | | | | | | | | | all_603_0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with 0, all_603_0, all_17_2,
% 144.39/19.74 | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (525), (794)
% 144.39/19.74 | | | | | | | | | | | | | | | gives:
% 144.39/19.74 | | | | | | | | | | | | | | | (795) all_603_0 = 0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | REDUCE: (793), (795) imply:
% 144.39/19.74 | | | | | | | | | | | | | | | (796) $false
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | CLOSE: (796) is inconsistent.
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_45_0, all_553_1,
% 144.39/19.74 | | | | | | | | | | | | | | | all_45_1, c, simplifying with (539), (787) gives:
% 144.39/19.74 | | | | | | | | | | | | | | | (797) all_553_1 = all_45_0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | REDUCE: (786), (797) imply:
% 144.39/19.74 | | | | | | | | | | | | | | | (798) lesseq(all_45_0, all_45_0) = all_553_0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_45_0,
% 144.39/19.74 | | | | | | | | | | | | | | | all_553_0, simplifying with (537), (798) gives:
% 144.39/19.74 | | | | | | | | | | | | | | | (799) all_553_0 = 0
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | REDUCE: (784), (799) imply:
% 144.39/19.74 | | | | | | | | | | | | | | | (800) $false
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | | CLOSE: (800) is inconsistent.
% 144.39/19.74 | | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | (801) ~ (all_111_0 = 0) & minsol_model_max(all_17_4,
% 144.39/19.74 | | | | | | | | | | | | all_45_1, all_17_2) = all_111_0
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | ALPHA: (801) implies:
% 144.39/19.74 | | | | | | | | | | | | (802) ~ (all_111_0 = 0)
% 144.39/19.74 | | | | | | | | | | | | (803) minsol_model_max(all_17_4, all_45_1, all_17_2) =
% 144.39/19.74 | | | | | | | | | | | | all_111_0
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | BETA: splitting (573) gives:
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_17_4, all_17_3,
% 144.39/19.74 | | | | | | | | | | | | | all_45_0, all_266_0, all_45_1, simplifying with
% 144.39/19.74 | | | | | | | | | | | | | (44), (45), (536), (537), (540), (771) gives:
% 144.39/19.74 | | | | | | | | | | | | | (804) all_266_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~
% 144.39/19.74 | | | | | | | | | | | | | (v1 = 0) & sum(c, all_45_1) = v0 & lesseq(v0,
% 144.39/19.74 | | | | | | | | | | | | | all_45_0) = v1 & $i(v0))
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | REF_CLOSE: (26), (37), (39), (44), (46), (536), (539), (562),
% 144.39/19.74 | | | | | | | | | | | | | (770), (802), (803), (804), (lesseq_ref) are
% 144.39/19.74 | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | (805) ~ (all_112_0 = 0) & minsol_model_max(all_45_1,
% 144.39/19.74 | | | | | | | | | | | | | all_17_4, all_17_2) = all_112_0
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | ALPHA: (805) implies:
% 144.39/19.74 | | | | | | | | | | | | | (806) ~ (all_112_0 = 0)
% 144.39/19.74 | | | | | | | | | | | | | (807) minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.39/19.74 | | | | | | | | | | | | | all_112_0
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | BETA: splitting (579) gives:
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_17_4, all_17_3,
% 144.39/19.74 | | | | | | | | | | | | | | all_45_0, all_266_0, all_45_1, simplifying with
% 144.39/19.74 | | | | | | | | | | | | | | (44), (45), (536), (537), (540), (771) gives:
% 144.39/19.74 | | | | | | | | | | | | | | (808) all_266_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~
% 144.39/19.74 | | | | | | | | | | | | | | (v1 = 0) & sum(c, all_45_1) = v0 & lesseq(v0,
% 144.39/19.74 | | | | | | | | | | | | | | all_45_0) = v1 & $i(v0))
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | REF_CLOSE: (26), (37), (39), (44), (46), (536), (539), (562),
% 144.39/19.74 | | | | | | | | | | | | | | (770), (802), (803), (808), (lesseq_ref) are
% 144.39/19.74 | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | (809) all_123_3 = 0 & minsol_model_max(all_45_1,
% 144.39/19.74 | | | | | | | | | | | | | | all_17_4, all_17_2) = 0
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | ALPHA: (809) implies:
% 144.39/19.74 | | | | | | | | | | | | | | (810) minsol_model_max(all_45_1, all_17_4, all_17_2) = 0
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | | REF_CLOSE: (41), (806), (807), (810) are inconsistent by
% 144.39/19.74 | | | | | | | | | | | | | | sub-proof #2.
% 144.39/19.74 | | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | End of split
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | End of split
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | End of split
% 144.39/19.74 | | | | | | |
% 144.39/19.74 | | | | | | End of split
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | End of split
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | End of split
% 144.39/19.74 | | | |
% 144.39/19.74 | | | Case 2:
% 144.39/19.74 | | | |
% 144.39/19.74 | | | | (811) ~ (all_30_3 = 0) & model_max(all_17_4, all_17_3, all_17_2) =
% 144.39/19.74 | | | | all_30_3
% 144.39/19.74 | | | |
% 144.39/19.74 | | | | ALPHA: (811) implies:
% 144.39/19.74 | | | | (812) ~ (all_30_3 = 0)
% 144.39/19.74 | | | | (813) model_max(all_17_4, all_17_3, all_17_2) = all_30_3
% 144.39/19.74 | | | |
% 144.39/19.74 | | | | GROUND_INST: instantiating (15) with all_17_4, all_17_3, all_17_2,
% 144.39/19.74 | | | | all_30_3, simplifying with (44), (45), (46), (813) gives:
% 144.39/19.74 | | | | (814) all_30_3 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~
% 144.39/19.74 | | | | (v2 = 0) & max(all_17_4, all_17_3) = v0 & sum(c, v0) = v1 &
% 144.39/19.74 | | | | lesseq(v1, all_17_2) = v2 & $i(v1) & $i(v0))
% 144.39/19.74 | | | |
% 144.39/19.74 | | | | BETA: splitting (814) gives:
% 144.39/19.74 | | | |
% 144.39/19.74 | | | | Case 1:
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | (815) all_30_3 = 0
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | REDUCE: (812), (815) imply:
% 144.39/19.74 | | | | | (816) $false
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | CLOSE: (816) is inconsistent.
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | Case 2:
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | (817) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 144.39/19.74 | | | | | max(all_17_4, all_17_3) = v0 & sum(c, v0) = v1 & lesseq(v1,
% 144.39/19.74 | | | | | all_17_2) = v2 & $i(v1) & $i(v0))
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | DELTA: instantiating (817) with fresh symbols all_175_0, all_175_1,
% 144.39/19.74 | | | | | all_175_2 gives:
% 144.39/19.74 | | | | | (818) ~ (all_175_0 = 0) & max(all_17_4, all_17_3) = all_175_2 &
% 144.39/19.74 | | | | | sum(c, all_175_2) = all_175_1 & lesseq(all_175_1, all_17_2) =
% 144.39/19.74 | | | | | all_175_0 & $i(all_175_1) & $i(all_175_2)
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | ALPHA: (818) implies:
% 144.39/19.74 | | | | | (819) ~ (all_175_0 = 0)
% 144.39/19.74 | | | | | (820) $i(all_175_2)
% 144.39/19.74 | | | | | (821) $i(all_175_1)
% 144.39/19.74 | | | | | (822) lesseq(all_175_1, all_17_2) = all_175_0
% 144.39/19.74 | | | | | (823) sum(c, all_175_2) = all_175_1
% 144.39/19.74 | | | | | (824) max(all_17_4, all_17_3) = all_175_2
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | BETA: splitting (561) gives:
% 144.39/19.74 | | | | |
% 144.39/19.74 | | | | | Case 1:
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | (825) all_45_0 = all_17_2
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | REDUCE: (539), (825) imply:
% 144.39/19.74 | | | | | | (826) sum(c, all_45_1) = all_17_2
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | GROUND_INST: instantiating (2) with all_17_2, all_175_1, all_175_0,
% 144.39/19.74 | | | | | | simplifying with (46), (821), (822) gives:
% 144.39/19.74 | | | | | | (827) all_175_0 = 0 | lesseq(all_17_2, all_175_1) = 0
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | GROUND_INST: instantiating (11) with all_17_4, all_17_3, all_175_2,
% 144.39/19.74 | | | | | | simplifying with (44), (45), (824) gives:
% 144.39/19.74 | | | | | | (828) all_175_2 = all_17_3 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.74 | | | | | | lesseq(all_17_4, all_17_3) = v0)
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | GROUND_INST: instantiating (9) with all_17_4, all_17_3, all_175_2,
% 144.39/19.74 | | | | | | simplifying with (44), (45), (824) gives:
% 144.39/19.74 | | | | | | (829) all_175_2 = all_17_4 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.74 | | | | | | lesseq(all_17_3, all_17_4) = v0)
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | BETA: splitting (827) gives:
% 144.39/19.74 | | | | | |
% 144.39/19.74 | | | | | | Case 1:
% 144.39/19.74 | | | | | | |
% 144.39/19.74 | | | | | | | (830) lesseq(all_17_2, all_175_1) = 0
% 144.39/19.74 | | | | | | |
% 144.39/19.74 | | | | | | | BETA: splitting (566) gives:
% 144.39/19.74 | | | | | | |
% 144.39/19.74 | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | (831) all_45_1 = all_17_3
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | REDUCE: (562), (831) imply:
% 144.39/19.74 | | | | | | | | (832) model_max(all_17_4, all_17_3, all_17_2) = 0
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | REF_CLOSE: (39), (812), (813), (832) are inconsistent by
% 144.39/19.74 | | | | | | | | sub-proof #1.
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | (833) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_45_1,
% 144.39/19.74 | | | | | | | | all_17_3) = v0)
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | DELTA: instantiating (833) with fresh symbol all_253_0 gives:
% 144.39/19.74 | | | | | | | | (834) ~ (all_253_0 = 0) & lesseq(all_45_1, all_17_3) =
% 144.39/19.74 | | | | | | | | all_253_0
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | ALPHA: (834) implies:
% 144.39/19.74 | | | | | | | | (835) ~ (all_253_0 = 0)
% 144.39/19.74 | | | | | | | | (836) lesseq(all_45_1, all_17_3) = all_253_0
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | BETA: splitting (564) gives:
% 144.39/19.74 | | | | | | | |
% 144.39/19.74 | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | (837) all_45_1 = all_17_4
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | REDUCE: (565), (837) imply:
% 144.39/19.74 | | | | | | | | | (838) model_max(all_17_4, all_17_3, all_17_2) = 0
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | REF_CLOSE: (39), (812), (813), (838) are inconsistent by
% 144.39/19.74 | | | | | | | | | sub-proof #1.
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | (839) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_45_1,
% 144.39/19.74 | | | | | | | | | all_17_4) = v0)
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | DELTA: instantiating (839) with fresh symbol all_261_0 gives:
% 144.39/19.74 | | | | | | | | | (840) ~ (all_261_0 = 0) & lesseq(all_45_1, all_17_4) =
% 144.39/19.74 | | | | | | | | | all_261_0
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | ALPHA: (840) implies:
% 144.39/19.74 | | | | | | | | | (841) ~ (all_261_0 = 0)
% 144.39/19.74 | | | | | | | | | (842) lesseq(all_45_1, all_17_4) = all_261_0
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | BETA: splitting (573) gives:
% 144.39/19.74 | | | | | | | | |
% 144.39/19.74 | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | GROUND_INST: instantiating (3) with all_45_1, all_175_2, c,
% 144.39/19.74 | | | | | | | | | | all_17_2, all_175_1, simplifying with (18), (536),
% 144.39/19.74 | | | | | | | | | | (820), (823), (826), (830) gives:
% 144.39/19.74 | | | | | | | | | | (843) lesseq(all_45_1, all_175_2) = 0
% 144.39/19.74 | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | BETA: splitting (828) gives:
% 144.39/19.74 | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | Case 1:
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | (844) all_175_2 = all_17_3
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | REDUCE: (843), (844) imply:
% 144.39/19.74 | | | | | | | | | | | (845) lesseq(all_45_1, all_17_3) = 0
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | GROUND_INST: instantiating (36) with all_253_0, 0, all_17_3,
% 144.39/19.74 | | | | | | | | | | | all_45_1, simplifying with (836), (845) gives:
% 144.39/19.74 | | | | | | | | | | | (846) all_253_0 = 0
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | REDUCE: (835), (846) imply:
% 144.39/19.74 | | | | | | | | | | | (847) $false
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | CLOSE: (847) is inconsistent.
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | Case 2:
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | (848) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_4,
% 144.39/19.74 | | | | | | | | | | | all_17_3) = v0)
% 144.39/19.74 | | | | | | | | | | |
% 144.39/19.74 | | | | | | | | | | | DELTA: instantiating (848) with fresh symbol all_573_0
% 144.39/19.74 | | | | | | | | | | | gives:
% 144.39/19.75 | | | | | | | | | | | (849) ~ (all_573_0 = 0) & lesseq(all_17_4, all_17_3) =
% 144.39/19.75 | | | | | | | | | | | all_573_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | ALPHA: (849) implies:
% 144.39/19.75 | | | | | | | | | | | (850) ~ (all_573_0 = 0)
% 144.39/19.75 | | | | | | | | | | | (851) lesseq(all_17_4, all_17_3) = all_573_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | BETA: splitting (829) gives:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | (852) all_175_2 = all_17_4
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | REDUCE: (843), (852) imply:
% 144.39/19.75 | | | | | | | | | | | | (853) lesseq(all_45_1, all_17_4) = 0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_261_0, 0, all_17_4,
% 144.39/19.75 | | | | | | | | | | | | all_45_1, simplifying with (842), (853) gives:
% 144.39/19.75 | | | | | | | | | | | | (854) all_261_0 = 0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | REDUCE: (841), (854) imply:
% 144.39/19.75 | | | | | | | | | | | | (855) $false
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | CLOSE: (855) is inconsistent.
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | (856) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_3,
% 144.39/19.75 | | | | | | | | | | | | all_17_4) = v0)
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | DELTA: instantiating (856) with fresh symbol all_581_0
% 144.39/19.75 | | | | | | | | | | | | gives:
% 144.39/19.75 | | | | | | | | | | | | (857) ~ (all_581_0 = 0) & lesseq(all_17_3, all_17_4) =
% 144.39/19.75 | | | | | | | | | | | | all_581_0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | ALPHA: (857) implies:
% 144.39/19.75 | | | | | | | | | | | | (858) ~ (all_581_0 = 0)
% 144.39/19.75 | | | | | | | | | | | | (859) lesseq(all_17_3, all_17_4) = all_581_0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_17_4, all_17_3,
% 144.39/19.75 | | | | | | | | | | | | all_581_0, simplifying with (44), (45), (859)
% 144.39/19.75 | | | | | | | | | | | | gives:
% 144.39/19.75 | | | | | | | | | | | | (860) all_581_0 = 0 | lesseq(all_17_4, all_17_3) = 0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | BETA: splitting (860) gives:
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | (861) lesseq(all_17_4, all_17_3) = 0
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | GROUND_INST: instantiating (36) with all_573_0, 0, all_17_3,
% 144.39/19.75 | | | | | | | | | | | | | all_17_4, simplifying with (851), (861) gives:
% 144.39/19.75 | | | | | | | | | | | | | (862) all_573_0 = 0
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | REDUCE: (850), (862) imply:
% 144.39/19.75 | | | | | | | | | | | | | (863) $false
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | CLOSE: (863) is inconsistent.
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | (864) all_581_0 = 0
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | REDUCE: (858), (864) imply:
% 144.39/19.75 | | | | | | | | | | | | | (865) $false
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | | CLOSE: (865) is inconsistent.
% 144.39/19.75 | | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | End of split
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | End of split
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | End of split
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | (866) ~ (all_112_0 = 0) & minsol_model_max(all_45_1,
% 144.39/19.75 | | | | | | | | | | all_17_4, all_17_2) = all_112_0
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | ALPHA: (866) implies:
% 144.39/19.75 | | | | | | | | | | (867) ~ (all_112_0 = 0)
% 144.39/19.75 | | | | | | | | | | (868) minsol_model_max(all_45_1, all_17_4, all_17_2) =
% 144.39/19.75 | | | | | | | | | | all_112_0
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | BETA: splitting (579) gives:
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | (869) all_123_1 = 0 & ~ (all_123_0 = 0) &
% 144.39/19.75 | | | | | | | | | | | model_max(all_45_1, all_17_4, all_123_2) = 0 &
% 144.39/19.75 | | | | | | | | | | | lesseq(all_17_2, all_123_2) = all_123_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | ALPHA: (869) implies:
% 144.39/19.75 | | | | | | | | | | | (870) ~ (all_123_0 = 0)
% 144.39/19.75 | | | | | | | | | | | (871) lesseq(all_17_2, all_123_2) = all_123_0
% 144.39/19.75 | | | | | | | | | | | (872) model_max(all_45_1, all_17_4, all_123_2) = 0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_45_1, all_17_4,
% 144.39/19.75 | | | | | | | | | | | all_123_2, all_45_1, all_17_2, all_123_0,
% 144.39/19.75 | | | | | | | | | | | simplifying with (44), (536), (558), (578), (826),
% 144.39/19.75 | | | | | | | | | | | (871) gives:
% 144.39/19.75 | | | | | | | | | | | (873) all_123_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.75 | | | | | | | | | | | model_max(all_45_1, all_17_4, all_123_2) = v0)
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | REF_CLOSE: (39), (870), (872), (873) are inconsistent by
% 144.39/19.75 | | | | | | | | | | | sub-proof #5.
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | (874) all_123_3 = 0 & minsol_model_max(all_45_1,
% 144.39/19.75 | | | | | | | | | | | all_17_4, all_17_2) = 0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | ALPHA: (874) implies:
% 144.39/19.75 | | | | | | | | | | | (875) minsol_model_max(all_45_1, all_17_4, all_17_2) = 0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | REF_CLOSE: (41), (867), (868), (875) are inconsistent by
% 144.39/19.75 | | | | | | | | | | | sub-proof #2.
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | End of split
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | End of split
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | End of split
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | End of split
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | Case 2:
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | (876) all_175_0 = 0
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | REDUCE: (819), (876) imply:
% 144.39/19.75 | | | | | | | (877) $false
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | CLOSE: (877) is inconsistent.
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | End of split
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | Case 2:
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | (878) ? [v0: int] : ( ~ (v0 = 0) & lesseq(all_17_2, all_45_0) =
% 144.39/19.75 | | | | | | v0)
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | DELTA: instantiating (878) with fresh symbol all_193_0 gives:
% 144.39/19.75 | | | | | | (879) ~ (all_193_0 = 0) & lesseq(all_17_2, all_45_0) = all_193_0
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | ALPHA: (879) implies:
% 144.39/19.75 | | | | | | (880) ~ (all_193_0 = 0)
% 144.39/19.75 | | | | | | (881) lesseq(all_17_2, all_45_0) = all_193_0
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | GROUND_INST: instantiating (34) with all_17_4, all_17_3, all_17_2,
% 144.39/19.75 | | | | | | 0, all_45_0, all_193_0, simplifying with (44), (45),
% 144.39/19.75 | | | | | | (46), (532), (537), (881) gives:
% 144.39/19.75 | | | | | | (882) all_193_0 = 0 | ? [v0: int] : (( ~ (v0 = 0) &
% 144.39/19.75 | | | | | | minsol_model_ub(all_17_4, all_17_3, all_17_2) = v0) | (
% 144.39/19.75 | | | | | | ~ (v0 = 0) & model_ub(all_17_4, all_17_3, all_45_0) =
% 144.39/19.75 | | | | | | v0))
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | GROUND_INST: instantiating (33) with all_17_4, all_17_3, all_17_2,
% 144.39/19.75 | | | | | | all_45_0, all_193_0, simplifying with (44), (45), (46),
% 144.39/19.75 | | | | | | (525), (537), (881) gives:
% 144.39/19.75 | | | | | | (883) all_193_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.75 | | | | | | model_ub(all_17_4, all_17_3, all_45_0) = v0)
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | GROUND_INST: instantiating (6) with all_17_2, all_45_0, all_193_0,
% 144.39/19.75 | | | | | | simplifying with (46), (537), (881) gives:
% 144.39/19.75 | | | | | | (884) all_193_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] :
% 144.39/19.75 | | | | | | ( ~ (v2 = 0) & summation(all_45_0) = v1 &
% 144.39/19.75 | | | | | | summation(all_17_2) = v0 & lesseq(v0, v1) = v2 & $i(v1) &
% 144.39/19.75 | | | | | | $i(v0))
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | GROUND_INST: instantiating (1) with all_175_1, all_45_0, all_17_2,
% 144.39/19.75 | | | | | | all_175_0, simplifying with (46), (537), (538), (821),
% 144.39/19.75 | | | | | | (822) gives:
% 144.39/19.75 | | | | | | (885) all_175_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.75 | | | | | | lesseq(all_175_1, all_45_0) = v0)
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | GROUND_INST: instantiating (6) with all_175_1, all_17_2, all_175_0,
% 144.39/19.75 | | | | | | simplifying with (46), (821), (822) gives:
% 144.39/19.75 | | | | | | (886) all_175_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] :
% 144.39/19.75 | | | | | | ( ~ (v2 = 0) & summation(all_175_1) = v0 &
% 144.39/19.75 | | | | | | summation(all_17_2) = v1 & lesseq(v0, v1) = v2 & $i(v1) &
% 144.39/19.75 | | | | | | $i(v0))
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | BETA: splitting (884) gives:
% 144.39/19.75 | | | | | |
% 144.39/19.75 | | | | | | Case 1:
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | (887) all_193_0 = 0
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | REDUCE: (880), (887) imply:
% 144.39/19.75 | | | | | | | (888) $false
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | CLOSE: (888) is inconsistent.
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | Case 2:
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | (889) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 144.39/19.75 | | | | | | | summation(all_45_0) = v1 & summation(all_17_2) = v0 &
% 144.39/19.75 | | | | | | | lesseq(v0, v1) = v2 & $i(v1) & $i(v0))
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | DELTA: instantiating (889) with fresh symbols all_216_0,
% 144.39/19.75 | | | | | | | all_216_1, all_216_2 gives:
% 144.39/19.75 | | | | | | | (890) ~ (all_216_0 = 0) & summation(all_45_0) = all_216_1 &
% 144.39/19.75 | | | | | | | summation(all_17_2) = all_216_2 & lesseq(all_216_2,
% 144.39/19.75 | | | | | | | all_216_1) = all_216_0 & $i(all_216_1) & $i(all_216_2)
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | ALPHA: (890) implies:
% 144.39/19.75 | | | | | | | (891) $i(all_216_2)
% 144.39/19.75 | | | | | | | (892) $i(all_216_1)
% 144.39/19.75 | | | | | | | (893) summation(all_17_2) = all_216_2
% 144.39/19.75 | | | | | | | (894) summation(all_45_0) = all_216_1
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | BETA: splitting (886) gives:
% 144.39/19.75 | | | | | | |
% 144.39/19.75 | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | (895) all_175_0 = 0
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | REDUCE: (819), (895) imply:
% 144.39/19.75 | | | | | | | | (896) $false
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | CLOSE: (896) is inconsistent.
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | (897) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0)
% 144.39/19.75 | | | | | | | | & summation(all_175_1) = v0 & summation(all_17_2) =
% 144.39/19.75 | | | | | | | | v1 & lesseq(v0, v1) = v2 & $i(v1) & $i(v0))
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | DELTA: instantiating (897) with fresh symbols all_221_0,
% 144.39/19.75 | | | | | | | | all_221_1, all_221_2 gives:
% 144.39/19.75 | | | | | | | | (898) ~ (all_221_0 = 0) & summation(all_175_1) = all_221_2 &
% 144.39/19.75 | | | | | | | | summation(all_17_2) = all_221_1 & lesseq(all_221_2,
% 144.39/19.75 | | | | | | | | all_221_1) = all_221_0 & $i(all_221_1) &
% 144.39/19.75 | | | | | | | | $i(all_221_2)
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | ALPHA: (898) implies:
% 144.39/19.75 | | | | | | | | (899) ~ (all_221_0 = 0)
% 144.39/19.75 | | | | | | | | (900) $i(all_221_2)
% 144.39/19.75 | | | | | | | | (901) lesseq(all_221_2, all_221_1) = all_221_0
% 144.39/19.75 | | | | | | | | (902) summation(all_17_2) = all_221_1
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | BETA: splitting (883) gives:
% 144.39/19.75 | | | | | | | |
% 144.39/19.75 | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | (903) all_193_0 = 0
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | REDUCE: (880), (903) imply:
% 144.39/19.75 | | | | | | | | | (904) $false
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | CLOSE: (904) is inconsistent.
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | (905) ? [v0: int] : ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.39/19.75 | | | | | | | | | all_17_3, all_45_0) = v0)
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | DELTA: instantiating (905) with fresh symbol all_226_0 gives:
% 144.39/19.75 | | | | | | | | | (906) ~ (all_226_0 = 0) & model_ub(all_17_4, all_17_3,
% 144.39/19.75 | | | | | | | | | all_45_0) = all_226_0
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | ALPHA: (906) implies:
% 144.39/19.75 | | | | | | | | | (907) model_ub(all_17_4, all_17_3, all_45_0) = all_226_0
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | BETA: splitting (882) gives:
% 144.39/19.75 | | | | | | | | |
% 144.39/19.75 | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | (908) all_193_0 = 0
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | REDUCE: (880), (908) imply:
% 144.39/19.75 | | | | | | | | | | (909) $false
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | CLOSE: (909) is inconsistent.
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | (910) ? [v0: int] : (( ~ (v0 = 0) &
% 144.39/19.75 | | | | | | | | | | minsol_model_ub(all_17_4, all_17_3, all_17_2) =
% 144.39/19.75 | | | | | | | | | | v0) | ( ~ (v0 = 0) & model_ub(all_17_4,
% 144.39/19.75 | | | | | | | | | | all_17_3, all_45_0) = v0))
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | DELTA: instantiating (910) with fresh symbol all_231_0
% 144.39/19.75 | | | | | | | | | | gives:
% 144.39/19.75 | | | | | | | | | | (911) ( ~ (all_231_0 = 0) & minsol_model_ub(all_17_4,
% 144.39/19.75 | | | | | | | | | | all_17_3, all_17_2) = all_231_0) | ( ~
% 144.39/19.75 | | | | | | | | | | (all_231_0 = 0) & model_ub(all_17_4, all_17_3,
% 144.39/19.75 | | | | | | | | | | all_45_0) = all_231_0)
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | BETA: splitting (911) gives:
% 144.39/19.75 | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | (912) ~ (all_231_0 = 0) & minsol_model_ub(all_17_4,
% 144.39/19.75 | | | | | | | | | | | all_17_3, all_17_2) = all_231_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | ALPHA: (912) implies:
% 144.39/19.75 | | | | | | | | | | | (913) ~ (all_231_0 = 0)
% 144.39/19.75 | | | | | | | | | | | (914) minsol_model_ub(all_17_4, all_17_3, all_17_2) =
% 144.39/19.75 | | | | | | | | | | | all_231_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | GROUND_INST: instantiating (42) with 0, all_231_0, all_17_2,
% 144.39/19.75 | | | | | | | | | | | all_17_3, all_17_4, simplifying with (525), (914)
% 144.39/19.75 | | | | | | | | | | | gives:
% 144.39/19.75 | | | | | | | | | | | (915) all_231_0 = 0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | REDUCE: (913), (915) imply:
% 144.39/19.75 | | | | | | | | | | | (916) $false
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | CLOSE: (916) is inconsistent.
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | (917) ~ (all_231_0 = 0) & model_ub(all_17_4, all_17_3,
% 144.39/19.75 | | | | | | | | | | | all_45_0) = all_231_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | ALPHA: (917) implies:
% 144.39/19.75 | | | | | | | | | | | (918) ~ (all_231_0 = 0)
% 144.39/19.75 | | | | | | | | | | | (919) model_ub(all_17_4, all_17_3, all_45_0) = all_231_0
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | BETA: splitting (885) gives:
% 144.39/19.75 | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | Case 1:
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | (920) all_175_0 = 0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | REDUCE: (819), (920) imply:
% 144.39/19.75 | | | | | | | | | | | | (921) $false
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | CLOSE: (921) is inconsistent.
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | Case 2:
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_59_0, all_221_1,
% 144.39/19.75 | | | | | | | | | | | | all_17_2, simplifying with (549), (902) gives:
% 144.39/19.75 | | | | | | | | | | | | (922) all_221_1 = all_59_0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_216_2, all_221_1,
% 144.39/19.75 | | | | | | | | | | | | all_17_2, simplifying with (893), (902) gives:
% 144.39/19.75 | | | | | | | | | | | | (923) all_221_1 = all_216_2
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_59_1, all_216_1,
% 144.39/19.75 | | | | | | | | | | | | all_45_0, simplifying with (550), (894) gives:
% 144.39/19.75 | | | | | | | | | | | | (924) all_216_1 = all_59_1
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_226_0, all_231_0,
% 144.39/19.75 | | | | | | | | | | | | all_45_0, all_17_3, all_17_4, simplifying with
% 144.39/19.75 | | | | | | | | | | | | (907), (919) gives:
% 144.39/19.75 | | | | | | | | | | | | (925) all_231_0 = all_226_0
% 144.39/19.75 | | | | | | | | | | | |
% 144.39/19.75 | | | | | | | | | | | | COMBINE_EQS: (922), (923) imply:
% 144.39/19.76 | | | | | | | | | | | | (926) all_216_2 = all_59_0
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | SIMP: (926) implies:
% 144.39/19.76 | | | | | | | | | | | | (927) all_216_2 = all_59_0
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | REDUCE: (918), (925) imply:
% 144.39/19.76 | | | | | | | | | | | | (928) ~ (all_226_0 = 0)
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | REDUCE: (901), (922) imply:
% 144.39/19.76 | | | | | | | | | | | | (929) lesseq(all_221_2, all_59_0) = all_221_0
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | REDUCE: (892), (924) imply:
% 144.39/19.76 | | | | | | | | | | | | (930) $i(all_59_1)
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | REDUCE: (891), (927) imply:
% 144.39/19.76 | | | | | | | | | | | | (931) $i(all_59_0)
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | BETA: splitting (566) gives:
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | Case 1:
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | (932) all_45_1 = all_17_3
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | REDUCE: (562), (932) imply:
% 144.39/19.76 | | | | | | | | | | | | | (933) model_max(all_17_4, all_17_3, all_17_2) = 0
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | REF_CLOSE: (39), (812), (813), (933) are inconsistent by
% 144.39/19.76 | | | | | | | | | | | | | sub-proof #1.
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | Case 2:
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_221_2, all_59_1,
% 144.39/19.76 | | | | | | | | | | | | | all_59_0, all_221_0, simplifying with (548),
% 144.39/19.76 | | | | | | | | | | | | | (900), (929), (930), (931) gives:
% 144.39/19.76 | | | | | | | | | | | | | (934) all_221_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 144.39/19.76 | | | | | | | | | | | | | lesseq(all_221_2, all_59_1) = v0)
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_17_4, all_17_3,
% 144.39/19.76 | | | | | | | | | | | | | all_45_0, all_226_0, all_45_1, simplifying with
% 144.39/19.76 | | | | | | | | | | | | | (44), (45), (536), (537), (540), (907) gives:
% 144.39/19.76 | | | | | | | | | | | | | (935) all_226_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~
% 144.39/19.76 | | | | | | | | | | | | | (v1 = 0) & sum(c, all_45_1) = v0 & lesseq(v0,
% 144.39/19.76 | | | | | | | | | | | | | all_45_0) = v1 & $i(v0))
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | BETA: splitting (935) gives:
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | Case 1:
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | (936) all_226_0 = 0
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | REDUCE: (928), (936) imply:
% 144.39/19.76 | | | | | | | | | | | | | | (937) $false
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | CLOSE: (937) is inconsistent.
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | Case 2:
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | (938) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & sum(c,
% 144.39/19.76 | | | | | | | | | | | | | | all_45_1) = v0 & lesseq(v0, all_45_0) = v1 &
% 144.39/19.76 | | | | | | | | | | | | | | $i(v0))
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | DELTA: instantiating (938) with fresh symbols all_330_0,
% 144.39/19.76 | | | | | | | | | | | | | | all_330_1 gives:
% 144.39/19.76 | | | | | | | | | | | | | | (939) ~ (all_330_0 = 0) & sum(c, all_45_1) = all_330_1
% 144.39/19.76 | | | | | | | | | | | | | | & lesseq(all_330_1, all_45_0) = all_330_0 &
% 144.39/19.76 | | | | | | | | | | | | | | $i(all_330_1)
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | ALPHA: (939) implies:
% 144.39/19.76 | | | | | | | | | | | | | | (940) ~ (all_330_0 = 0)
% 144.39/19.76 | | | | | | | | | | | | | | (941) $i(all_330_1)
% 144.39/19.76 | | | | | | | | | | | | | | (942) lesseq(all_330_1, all_45_0) = all_330_0
% 144.39/19.76 | | | | | | | | | | | | | | (943) sum(c, all_45_1) = all_330_1
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | Case 1:
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | (944) all_221_0 = 0
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | REDUCE: (899), (944) imply:
% 144.39/19.76 | | | | | | | | | | | | | | | (945) $false
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | CLOSE: (945) is inconsistent.
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | Case 2:
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_45_0, all_330_1,
% 144.39/19.76 | | | | | | | | | | | | | | | all_45_1, c, simplifying with (539), (943) gives:
% 144.39/19.76 | | | | | | | | | | | | | | | (946) all_330_1 = all_45_0
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | REDUCE: (942), (946) imply:
% 144.39/19.76 | | | | | | | | | | | | | | | (947) lesseq(all_45_0, all_45_0) = all_330_0
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | GROUND_INST: instantiating (lesseq_ref) with all_45_0,
% 144.39/19.76 | | | | | | | | | | | | | | | all_330_0, simplifying with (537), (947) gives:
% 144.39/19.76 | | | | | | | | | | | | | | | (948) all_330_0 = 0
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | REDUCE: (940), (948) imply:
% 144.39/19.76 | | | | | | | | | | | | | | | (949) $false
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | | CLOSE: (949) is inconsistent.
% 144.39/19.76 | | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | | |
% 144.39/19.76 | | | | | | | | | End of split
% 144.39/19.76 | | | | | | | | |
% 144.39/19.76 | | | | | | | | End of split
% 144.39/19.76 | | | | | | | |
% 144.39/19.76 | | | | | | | End of split
% 144.39/19.76 | | | | | | |
% 144.39/19.76 | | | | | | End of split
% 144.39/19.76 | | | | | |
% 144.39/19.76 | | | | | End of split
% 144.39/19.76 | | | | |
% 144.39/19.76 | | | | End of split
% 144.39/19.76 | | | |
% 144.39/19.76 | | | End of split
% 144.39/19.76 | | |
% 144.39/19.76 | | End of split
% 144.39/19.76 | |
% 144.39/19.76 | End of split
% 144.39/19.76 |
% 144.39/19.76 End of proof
% 144.39/19.76
% 144.39/19.76 Sub-proof #1 shows that the following formulas are inconsistent:
% 144.39/19.76 ----------------------------------------------------------------
% 144.39/19.76 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.76 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_max(v4, v3, v2) = v1) |
% 144.39/19.76 ~ (model_max(v4, v3, v2) = v0))
% 144.39/19.76 (2) model_max(all_17_4, all_17_3, all_17_2) = all_30_3
% 144.39/19.76 (3) model_max(all_17_4, all_17_3, all_17_2) = 0
% 144.39/19.76 (4) ~ (all_30_3 = 0)
% 144.39/19.76
% 144.39/19.76 Begin of proof
% 144.39/19.76 |
% 144.39/19.76 | GROUND_INST: instantiating (1) with all_30_3, 0, all_17_2, all_17_3, all_17_4,
% 144.39/19.76 | simplifying with (2), (3) gives:
% 144.39/19.76 | (5) all_30_3 = 0
% 144.39/19.76 |
% 144.39/19.76 | REDUCE: (4), (5) imply:
% 144.39/19.76 | (6) $false
% 144.39/19.76 |
% 144.39/19.76 | CLOSE: (6) is inconsistent.
% 144.39/19.76 |
% 144.39/19.76 End of proof
% 144.39/19.76
% 144.39/19.76 Sub-proof #2 shows that the following formulas are inconsistent:
% 144.39/19.76 ----------------------------------------------------------------
% 144.39/19.76 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.76 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_max(v4, v3, v2) =
% 144.39/19.76 v1) | ~ (minsol_model_max(v4, v3, v2) = v0))
% 144.39/19.76 (2) minsol_model_max(all_45_1, all_17_4, all_17_2) = all_112_0
% 144.39/19.76 (3) minsol_model_max(all_45_1, all_17_4, all_17_2) = 0
% 144.39/19.76 (4) ~ (all_112_0 = 0)
% 144.39/19.76
% 144.39/19.76 Begin of proof
% 144.39/19.76 |
% 144.39/19.76 | GROUND_INST: instantiating (1) with 0, all_112_0, all_17_2, all_17_4,
% 144.39/19.76 | all_45_1, simplifying with (2), (3) gives:
% 144.39/19.76 | (5) all_112_0 = 0
% 144.39/19.76 |
% 144.39/19.76 | REDUCE: (4), (5) imply:
% 144.39/19.76 | (6) $false
% 144.39/19.76 |
% 144.39/19.76 | CLOSE: (6) is inconsistent.
% 144.39/19.76 |
% 144.39/19.76 End of proof
% 144.39/19.76
% 144.39/19.76 Sub-proof #3 shows that the following formulas are inconsistent:
% 144.39/19.76 ----------------------------------------------------------------
% 144.39/19.76 (1) minsol_model_max(all_17_4, all_45_1, all_17_2) = all_111_0
% 144.39/19.76 (2) sum(c, all_45_1) = all_45_0
% 144.39/19.76 (3) $i(all_17_4)
% 144.39/19.76 (4) $i(all_45_1)
% 144.39/19.76 (5) $i(all_17_2)
% 144.39/19.76 (6) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (lesseq(v0, v0) = v1) | ~
% 144.39/19.76 $i(v0))
% 144.39/19.76 (7) model_max(all_17_4, all_45_1, all_17_2) = 0
% 144.39/19.76 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 144.39/19.76 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 144.39/19.76 (9) all_266_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & sum(c,
% 144.39/19.76 all_45_1) = v0 & lesseq(v0, all_45_0) = v1 & $i(v0))
% 144.39/19.76 (10) ~ (all_111_0 = 0)
% 144.39/19.76 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 144.39/19.76 (minsol_model_max(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 144.39/19.76 $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: int] : ? [v7: int] :
% 144.39/19.76 ($i(v5) & ((v6 = 0 & ~ (v7 = 0) & model_max(v0, v1, v5) = 0 &
% 144.39/19.76 lesseq(v2, v5) = v7) | ( ~ (v4 = 0) & model_max(v0, v1, v2) =
% 144.39/19.76 v4))))
% 144.39/19.76 (12) ~ (all_266_0 = 0)
% 144.39/19.76 (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.76 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_max(v4, v3, v2) = v1) |
% 144.39/19.76 ~ (model_max(v4, v3, v2) = v0))
% 144.39/19.76
% 144.39/19.76 Begin of proof
% 144.39/19.76 |
% 144.39/19.76 | GROUND_INST: instantiating (11) with all_17_4, all_45_1, all_17_2, all_111_0,
% 144.39/19.76 | simplifying with (1), (3), (4), (5) gives:
% 144.39/19.76 | (14) all_111_0 = 0 | ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3:
% 144.39/19.76 | int] : ($i(v1) & ((v2 = 0 & ~ (v3 = 0) & model_max(all_17_4,
% 144.39/19.76 | all_45_1, v1) = 0 & lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0)
% 144.39/19.76 | & model_max(all_17_4, all_45_1, all_17_2) = v0)))
% 144.39/19.76 |
% 144.39/19.76 | BETA: splitting (14) gives:
% 144.39/19.76 |
% 144.39/19.76 | Case 1:
% 144.39/19.76 | |
% 144.39/19.76 | | (15) all_111_0 = 0
% 144.39/19.76 | |
% 144.39/19.76 | | REDUCE: (10), (15) imply:
% 144.39/19.76 | | (16) $false
% 144.39/19.76 | |
% 144.39/19.76 | | CLOSE: (16) is inconsistent.
% 144.39/19.76 | |
% 144.39/19.76 | Case 2:
% 144.39/19.76 | |
% 144.39/19.76 | | (17) ? [v0: int] : ? [v1: $i] : ? [v2: int] : ? [v3: int] : ($i(v1) &
% 144.39/19.76 | | ((v2 = 0 & ~ (v3 = 0) & model_max(all_17_4, all_45_1, v1) = 0 &
% 144.39/19.76 | | lesseq(all_17_2, v1) = v3) | ( ~ (v0 = 0) &
% 144.39/19.76 | | model_max(all_17_4, all_45_1, all_17_2) = v0)))
% 144.39/19.76 | |
% 144.39/19.76 | | DELTA: instantiating (17) with fresh symbols all_512_0, all_512_1,
% 144.39/19.76 | | all_512_2, all_512_3 gives:
% 144.39/19.76 | | (18) $i(all_512_2) & ((all_512_1 = 0 & ~ (all_512_0 = 0) &
% 144.39/19.76 | | model_max(all_17_4, all_45_1, all_512_2) = 0 & lesseq(all_17_2,
% 144.39/19.76 | | all_512_2) = all_512_0) | ( ~ (all_512_3 = 0) &
% 144.39/19.76 | | model_max(all_17_4, all_45_1, all_17_2) = all_512_3))
% 144.39/19.76 | |
% 144.39/19.76 | | ALPHA: (18) implies:
% 144.39/19.76 | | (19) (all_512_1 = 0 & ~ (all_512_0 = 0) & model_max(all_17_4, all_45_1,
% 144.39/19.76 | | all_512_2) = 0 & lesseq(all_17_2, all_512_2) = all_512_0) | ( ~
% 144.39/19.76 | | (all_512_3 = 0) & model_max(all_17_4, all_45_1, all_17_2) =
% 144.39/19.76 | | all_512_3)
% 144.39/19.76 | |
% 144.39/19.76 | | BETA: splitting (9) gives:
% 144.39/19.76 | |
% 144.39/19.76 | | Case 1:
% 144.39/19.76 | | |
% 144.39/19.76 | | | (20) all_266_0 = 0
% 144.39/19.76 | | |
% 144.39/19.76 | | | REDUCE: (12), (20) imply:
% 144.39/19.76 | | | (21) $false
% 144.39/19.76 | | |
% 144.39/19.76 | | | CLOSE: (21) is inconsistent.
% 144.39/19.76 | | |
% 144.39/19.76 | | Case 2:
% 144.39/19.76 | | |
% 144.39/19.76 | | | (22) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & sum(c, all_45_1) = v0
% 144.39/19.76 | | | & lesseq(v0, all_45_0) = v1 & $i(v0))
% 144.39/19.76 | | |
% 144.39/19.76 | | | DELTA: instantiating (22) with fresh symbols all_638_0, all_638_1 gives:
% 144.39/19.76 | | | (23) ~ (all_638_0 = 0) & sum(c, all_45_1) = all_638_1 &
% 144.39/19.76 | | | lesseq(all_638_1, all_45_0) = all_638_0 & $i(all_638_1)
% 144.39/19.76 | | |
% 144.39/19.76 | | | ALPHA: (23) implies:
% 144.39/19.76 | | | (24) ~ (all_638_0 = 0)
% 144.39/19.76 | | | (25) $i(all_638_1)
% 144.39/19.76 | | | (26) lesseq(all_638_1, all_45_0) = all_638_0
% 144.39/19.76 | | | (27) sum(c, all_45_1) = all_638_1
% 144.39/19.76 | | |
% 144.39/19.76 | | | BETA: splitting (19) gives:
% 144.39/19.76 | | |
% 144.39/19.76 | | | Case 1:
% 144.39/19.76 | | | |
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | GROUND_INST: instantiating (8) with all_45_0, all_638_1, all_45_1, c,
% 144.39/19.76 | | | | simplifying with (2), (27) gives:
% 144.39/19.76 | | | | (28) all_638_1 = all_45_0
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | REDUCE: (26), (28) imply:
% 144.39/19.76 | | | | (29) lesseq(all_45_0, all_45_0) = all_638_0
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | REDUCE: (25), (28) imply:
% 144.39/19.76 | | | | (30) $i(all_45_0)
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | GROUND_INST: instantiating (6) with all_45_0, all_638_0, simplifying
% 144.39/19.76 | | | | with (29), (30) gives:
% 144.39/19.76 | | | | (31) all_638_0 = 0
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | REDUCE: (24), (31) imply:
% 144.39/19.76 | | | | (32) $false
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | CLOSE: (32) is inconsistent.
% 144.39/19.76 | | | |
% 144.39/19.76 | | | Case 2:
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | (33) ~ (all_512_3 = 0) & model_max(all_17_4, all_45_1, all_17_2) =
% 144.39/19.76 | | | | all_512_3
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | ALPHA: (33) implies:
% 144.39/19.76 | | | | (34) ~ (all_512_3 = 0)
% 144.39/19.76 | | | | (35) model_max(all_17_4, all_45_1, all_17_2) = all_512_3
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | GROUND_INST: instantiating (13) with 0, all_512_3, all_17_2, all_45_1,
% 144.39/19.76 | | | | all_17_4, simplifying with (7), (35) gives:
% 144.39/19.76 | | | | (36) all_512_3 = 0
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | REDUCE: (34), (36) imply:
% 144.39/19.76 | | | | (37) $false
% 144.39/19.76 | | | |
% 144.39/19.76 | | | | CLOSE: (37) is inconsistent.
% 144.39/19.76 | | | |
% 144.39/19.76 | | | End of split
% 144.39/19.76 | | |
% 144.39/19.76 | | End of split
% 144.39/19.76 | |
% 144.39/19.76 | End of split
% 144.39/19.76 |
% 144.39/19.76 End of proof
% 144.39/19.76
% 144.39/19.76 Sub-proof #4 shows that the following formulas are inconsistent:
% 144.39/19.76 ----------------------------------------------------------------
% 144.39/19.76 (1) ~ (all_612_0 = 0) | ~ (all_612_1 = 0)
% 144.39/19.76 (2) all_612_0 = 0
% 144.39/19.76 (3) all_612_1 = 0
% 144.39/19.76
% 144.39/19.76 Begin of proof
% 144.39/19.76 |
% 144.39/19.76 | BETA: splitting (1) gives:
% 144.39/19.76 |
% 144.39/19.76 | Case 1:
% 144.39/19.76 | |
% 144.39/19.76 | | (4) ~ (all_612_0 = 0)
% 144.39/19.76 | |
% 144.39/19.76 | | REDUCE: (2), (4) imply:
% 144.39/19.76 | | (5) $false
% 144.39/19.76 | |
% 144.39/19.76 | | CLOSE: (5) is inconsistent.
% 144.39/19.76 | |
% 144.39/19.76 | Case 2:
% 144.39/19.76 | |
% 144.39/19.76 | | (6) ~ (all_612_1 = 0)
% 144.39/19.76 | |
% 144.39/19.76 | | REDUCE: (3), (6) imply:
% 144.39/19.76 | | (7) $false
% 144.39/19.76 | |
% 144.39/19.76 | | CLOSE: (7) is inconsistent.
% 144.39/19.76 | |
% 144.39/19.76 | End of split
% 144.39/19.76 |
% 144.39/19.76 End of proof
% 144.39/19.76
% 144.39/19.76 Sub-proof #5 shows that the following formulas are inconsistent:
% 144.39/19.76 ----------------------------------------------------------------
% 144.39/19.77 (1) all_123_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & model_max(all_45_1,
% 144.39/19.77 all_17_4, all_123_2) = v0)
% 144.39/19.77 (2) ~ (all_123_0 = 0)
% 144.39/19.77 (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.77 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_max(v4, v3, v2) = v1) |
% 144.39/19.77 ~ (model_max(v4, v3, v2) = v0))
% 144.39/19.77 (4) model_max(all_45_1, all_17_4, all_123_2) = 0
% 144.39/19.77
% 144.39/19.77 Begin of proof
% 144.39/19.77 |
% 144.39/19.77 | BETA: splitting (1) gives:
% 144.39/19.77 |
% 144.39/19.77 | Case 1:
% 144.39/19.77 | |
% 144.39/19.77 | | (5) all_123_0 = 0
% 144.39/19.77 | |
% 144.39/19.77 | | REDUCE: (2), (5) imply:
% 144.39/19.77 | | (6) $false
% 144.39/19.77 | |
% 144.39/19.77 | | CLOSE: (6) is inconsistent.
% 144.39/19.77 | |
% 144.39/19.77 | Case 2:
% 144.39/19.77 | |
% 144.39/19.77 | | (7) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_45_1, all_17_4,
% 144.39/19.77 | | all_123_2) = v0)
% 144.39/19.77 | |
% 144.39/19.77 | | DELTA: instantiating (7) with fresh symbol all_372_0 gives:
% 144.39/19.77 | | (8) ~ (all_372_0 = 0) & model_max(all_45_1, all_17_4, all_123_2) =
% 144.39/19.77 | | all_372_0
% 144.39/19.77 | |
% 144.39/19.77 | | ALPHA: (8) implies:
% 144.39/19.77 | | (9) ~ (all_372_0 = 0)
% 144.39/19.77 | | (10) model_max(all_45_1, all_17_4, all_123_2) = all_372_0
% 144.39/19.77 | |
% 144.39/19.77 | | GROUND_INST: instantiating (3) with 0, all_372_0, all_123_2, all_17_4,
% 144.39/19.77 | | all_45_1, simplifying with (4), (10) gives:
% 144.39/19.77 | | (11) all_372_0 = 0
% 144.39/19.77 | |
% 144.39/19.77 | | REDUCE: (9), (11) imply:
% 144.39/19.77 | | (12) $false
% 144.39/19.77 | |
% 144.39/19.77 | | CLOSE: (12) is inconsistent.
% 144.39/19.77 | |
% 144.39/19.77 | End of split
% 144.39/19.77 |
% 144.39/19.77 End of proof
% 144.39/19.77
% 144.39/19.77 Sub-proof #6 shows that the following formulas are inconsistent:
% 144.39/19.77 ----------------------------------------------------------------
% 144.39/19.77 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.77 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_max(v4, v3, v2) =
% 144.39/19.77 v1) | ~ (minsol_model_max(v4, v3, v2) = v0))
% 144.39/19.77 (2) minsol_model_max(all_17_4, all_45_1, all_17_2) = all_193_0
% 144.39/19.77 (3) minsol_model_max(all_17_4, all_45_1, all_17_2) = 0
% 144.39/19.77 (4) ~ (all_193_0 = 0)
% 144.39/19.77
% 144.39/19.77 Begin of proof
% 144.39/19.77 |
% 144.39/19.77 | GROUND_INST: instantiating (1) with 0, all_193_0, all_17_2, all_45_1,
% 144.39/19.77 | all_17_4, simplifying with (2), (3) gives:
% 144.39/19.77 | (5) all_193_0 = 0
% 144.39/19.77 |
% 144.39/19.77 | REDUCE: (4), (5) imply:
% 144.39/19.77 | (6) $false
% 144.39/19.77 |
% 144.39/19.77 | CLOSE: (6) is inconsistent.
% 144.39/19.77 |
% 144.39/19.77 End of proof
% 144.39/19.77
% 144.39/19.77 Sub-proof #7 shows that the following formulas are inconsistent:
% 144.39/19.77 ----------------------------------------------------------------
% 144.39/19.77 (1) max(all_45_1, all_17_3) = all_45_1
% 144.39/19.77 (2) ( ~ (all_202_0 = 0) & minsol_model_max(all_45_1, all_17_3, all_17_2) =
% 144.39/19.77 all_202_0) | ( ~ (all_202_0 = 0) & model_max(all_45_1, all_17_3,
% 144.39/19.77 all_30_2) = all_202_0)
% 144.39/19.77 (3) ~ (all_127_0 = 0)
% 144.39/19.77 (4) lesseq(all_17_2, all_127_2) = all_127_0
% 144.39/19.77 (5) $i(all_17_4)
% 144.39/19.77 (6) $i(all_45_1)
% 144.39/19.77 (7) $i(all_127_2)
% 144.39/19.77 (8) sum(c, all_45_1) = all_17_2
% 144.39/19.77 (9) $i(all_17_3)
% 144.39/19.77 (10) $i(all_121_2)
% 144.39/19.77 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 144.39/19.77 [v5: int] : (v5 = 0 | ~ (max(v0, v1) = v3) | ~ (sum(c, v3) = v4) | ~
% 144.39/19.77 (lesseq(v4, v2) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6:
% 144.39/19.77 int] : ( ~ (v6 = 0) & model_max(v0, v1, v2) = v6))
% 144.39/19.77 (12) max(all_17_4, all_45_1) = all_45_1
% 144.39/19.77 (13) model_max(all_17_4, all_45_1, all_127_2) = 0
% 144.39/19.77 (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.77 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (minsol_model_max(v4, v3, v2) =
% 144.39/19.77 v1) | ~ (minsol_model_max(v4, v3, v2) = v0))
% 144.39/19.77 (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 144.39/19.77 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (model_max(v4, v3, v2) = v1) |
% 144.39/19.77 ~ (model_max(v4, v3, v2) = v0))
% 144.39/19.77 (16) (all_121_1 = 0 & ~ (all_121_0 = 0) & model_max(all_45_1, all_17_3,
% 144.39/19.77 all_121_2) = 0 & lesseq(all_17_2, all_121_2) = all_121_0) |
% 144.39/19.77 (all_121_3 = 0 & minsol_model_max(all_45_1, all_17_3, all_17_2) = 0)
% 144.39/19.77
% 144.39/19.77 Begin of proof
% 144.39/19.77 |
% 144.39/19.77 | BETA: splitting (16) gives:
% 144.39/19.77 |
% 144.39/19.77 | Case 1:
% 144.39/19.77 | |
% 144.39/19.77 | | (17) all_121_1 = 0 & ~ (all_121_0 = 0) & model_max(all_45_1, all_17_3,
% 144.39/19.77 | | all_121_2) = 0 & lesseq(all_17_2, all_121_2) = all_121_0
% 144.39/19.77 | |
% 144.39/19.77 | | ALPHA: (17) implies:
% 144.39/19.77 | | (18) ~ (all_121_0 = 0)
% 144.39/19.77 | | (19) lesseq(all_17_2, all_121_2) = all_121_0
% 144.39/19.77 | | (20) model_max(all_45_1, all_17_3, all_121_2) = 0
% 144.39/19.77 | |
% 144.39/19.77 | | GROUND_INST: instantiating (11) with all_45_1, all_17_3, all_121_2,
% 144.39/19.77 | | all_45_1, all_17_2, all_121_0, simplifying with (1), (6), (8),
% 144.39/19.77 | | (9), (10), (19) gives:
% 144.39/19.77 | | (21) all_121_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & model_max(all_45_1,
% 144.39/19.77 | | all_17_3, all_121_2) = v0)
% 144.39/19.77 | |
% 144.39/19.77 | | BETA: splitting (21) gives:
% 144.39/19.77 | |
% 144.39/19.77 | | Case 1:
% 144.39/19.77 | | |
% 144.39/19.77 | | | (22) all_121_0 = 0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (18), (22) imply:
% 144.39/19.77 | | | (23) $false
% 144.39/19.77 | | |
% 144.39/19.77 | | | CLOSE: (23) is inconsistent.
% 144.39/19.77 | | |
% 144.39/19.77 | | Case 2:
% 144.39/19.77 | | |
% 144.39/19.77 | | | (24) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_45_1, all_17_3,
% 144.39/19.77 | | | all_121_2) = v0)
% 144.39/19.77 | | |
% 144.39/19.77 | | | DELTA: instantiating (24) with fresh symbol all_369_0 gives:
% 144.39/19.77 | | | (25) ~ (all_369_0 = 0) & model_max(all_45_1, all_17_3, all_121_2) =
% 144.39/19.77 | | | all_369_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | ALPHA: (25) implies:
% 144.39/19.77 | | | (26) ~ (all_369_0 = 0)
% 144.39/19.77 | | | (27) model_max(all_45_1, all_17_3, all_121_2) = all_369_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (15) with 0, all_369_0, all_121_2, all_17_3,
% 144.39/19.77 | | | all_45_1, simplifying with (20), (27) gives:
% 144.39/19.77 | | | (28) all_369_0 = 0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (26), (28) imply:
% 144.39/19.77 | | | (29) $false
% 144.39/19.77 | | |
% 144.39/19.77 | | | CLOSE: (29) is inconsistent.
% 144.39/19.77 | | |
% 144.39/19.77 | | End of split
% 144.39/19.77 | |
% 144.39/19.77 | Case 2:
% 144.39/19.77 | |
% 144.39/19.77 | | (30) all_121_3 = 0 & minsol_model_max(all_45_1, all_17_3, all_17_2) = 0
% 144.39/19.77 | |
% 144.39/19.77 | | ALPHA: (30) implies:
% 144.39/19.77 | | (31) minsol_model_max(all_45_1, all_17_3, all_17_2) = 0
% 144.39/19.77 | |
% 144.39/19.77 | | BETA: splitting (2) gives:
% 144.39/19.77 | |
% 144.39/19.77 | | Case 1:
% 144.39/19.77 | | |
% 144.39/19.77 | | | (32) ~ (all_202_0 = 0) & minsol_model_max(all_45_1, all_17_3,
% 144.39/19.77 | | | all_17_2) = all_202_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | ALPHA: (32) implies:
% 144.39/19.77 | | | (33) ~ (all_202_0 = 0)
% 144.39/19.77 | | | (34) minsol_model_max(all_45_1, all_17_3, all_17_2) = all_202_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (14) with 0, all_202_0, all_17_2, all_17_3,
% 144.39/19.77 | | | all_45_1, simplifying with (31), (34) gives:
% 144.39/19.77 | | | (35) all_202_0 = 0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (33), (35) imply:
% 144.39/19.77 | | | (36) $false
% 144.39/19.77 | | |
% 144.39/19.77 | | | CLOSE: (36) is inconsistent.
% 144.39/19.77 | | |
% 144.39/19.77 | | Case 2:
% 144.39/19.77 | | |
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (11) with all_17_4, all_45_1, all_127_2,
% 144.39/19.77 | | | all_45_1, all_17_2, all_127_0, simplifying with (4), (5),
% 144.39/19.77 | | | (6), (7), (8), (12) gives:
% 144.39/19.77 | | | (37) all_127_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4,
% 144.39/19.77 | | | all_45_1, all_127_2) = v0)
% 144.39/19.77 | | |
% 144.39/19.77 | | | BETA: splitting (37) gives:
% 144.39/19.77 | | |
% 144.39/19.77 | | | Case 1:
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | (38) all_127_0 = 0
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | REDUCE: (3), (38) imply:
% 144.39/19.77 | | | | (39) $false
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | CLOSE: (39) is inconsistent.
% 144.39/19.77 | | | |
% 144.39/19.77 | | | Case 2:
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | (40) ? [v0: int] : ( ~ (v0 = 0) & model_max(all_17_4, all_45_1,
% 144.39/19.77 | | | | all_127_2) = v0)
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | DELTA: instantiating (40) with fresh symbol all_557_0 gives:
% 144.39/19.77 | | | | (41) ~ (all_557_0 = 0) & model_max(all_17_4, all_45_1, all_127_2) =
% 144.39/19.77 | | | | all_557_0
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | ALPHA: (41) implies:
% 144.39/19.77 | | | | (42) ~ (all_557_0 = 0)
% 144.39/19.77 | | | | (43) model_max(all_17_4, all_45_1, all_127_2) = all_557_0
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | GROUND_INST: instantiating (15) with 0, all_557_0, all_127_2, all_45_1,
% 144.39/19.77 | | | | all_17_4, simplifying with (13), (43) gives:
% 144.39/19.77 | | | | (44) all_557_0 = 0
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | REDUCE: (42), (44) imply:
% 144.39/19.77 | | | | (45) $false
% 144.39/19.77 | | | |
% 144.39/19.77 | | | | CLOSE: (45) is inconsistent.
% 144.39/19.77 | | | |
% 144.39/19.77 | | | End of split
% 144.39/19.77 | | |
% 144.39/19.77 | | End of split
% 144.39/19.77 | |
% 144.39/19.77 | End of split
% 144.39/19.77 |
% 144.39/19.77 End of proof
% 144.39/19.77
% 144.39/19.77 Sub-proof #8 shows that the following formulas are inconsistent:
% 144.39/19.77 ----------------------------------------------------------------
% 144.39/19.77 (1) all_266_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 144.39/19.77 max(all_17_4, all_17_3) = v0 & sum(c, v0) = v1 & lesseq(v1, all_45_0) =
% 144.39/19.77 v2 & $i(v1) & $i(v0))
% 144.39/19.77 (2) sum(c, all_17_4) = all_45_0
% 144.39/19.77 (3) ~ (all_266_0 = 0)
% 144.39/19.77 (4) ~ (all_284_0 = 0)
% 144.39/19.77 (5) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (lesseq(v0, v0) = v1) | ~
% 144.39/19.77 $i(v0))
% 144.39/19.77 (6) max(all_17_4, all_17_3) = all_17_4
% 144.39/19.77 (7) all_284_0 = 0 | lesseq(all_30_2, all_45_0) = 0
% 144.39/19.77 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 144.39/19.77 (sum(v3, v2) = v1) | ~ (sum(v3, v2) = v0))
% 144.39/19.77 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 144.39/19.77 (max(v3, v2) = v1) | ~ (max(v3, v2) = v0))
% 144.39/19.77
% 144.39/19.77 Begin of proof
% 144.39/19.77 |
% 144.39/19.77 | BETA: splitting (1) gives:
% 144.39/19.77 |
% 144.39/19.77 | Case 1:
% 144.39/19.77 | |
% 144.39/19.77 | | (10) all_266_0 = 0
% 144.39/19.77 | |
% 144.39/19.77 | | REDUCE: (3), (10) imply:
% 144.39/19.77 | | (11) $false
% 144.39/19.77 | |
% 144.39/19.77 | | CLOSE: (11) is inconsistent.
% 144.39/19.77 | |
% 144.39/19.77 | Case 2:
% 144.39/19.77 | |
% 144.39/19.77 | | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 144.39/19.77 | | max(all_17_4, all_17_3) = v0 & sum(c, v0) = v1 & lesseq(v1,
% 144.39/19.77 | | all_45_0) = v2 & $i(v1) & $i(v0))
% 144.39/19.77 | |
% 144.39/19.77 | | DELTA: instantiating (12) with fresh symbols all_362_0, all_362_1, all_362_2
% 144.39/19.77 | | gives:
% 144.39/19.77 | | (13) ~ (all_362_0 = 0) & max(all_17_4, all_17_3) = all_362_2 & sum(c,
% 144.39/19.77 | | all_362_2) = all_362_1 & lesseq(all_362_1, all_45_0) = all_362_0 &
% 144.39/19.77 | | $i(all_362_1) & $i(all_362_2)
% 144.39/19.77 | |
% 144.39/19.77 | | ALPHA: (13) implies:
% 144.39/19.77 | | (14) ~ (all_362_0 = 0)
% 144.39/19.77 | | (15) $i(all_362_1)
% 144.39/19.77 | | (16) lesseq(all_362_1, all_45_0) = all_362_0
% 144.39/19.77 | | (17) sum(c, all_362_2) = all_362_1
% 144.39/19.77 | | (18) max(all_17_4, all_17_3) = all_362_2
% 144.39/19.77 | |
% 144.39/19.77 | | BETA: splitting (7) gives:
% 144.39/19.77 | |
% 144.39/19.77 | | Case 1:
% 144.39/19.77 | | |
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (9) with all_17_4, all_362_2, all_17_3,
% 144.39/19.77 | | | all_17_4, simplifying with (6), (18) gives:
% 144.39/19.77 | | | (19) all_362_2 = all_17_4
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (17), (19) imply:
% 144.39/19.77 | | | (20) sum(c, all_17_4) = all_362_1
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (8) with all_45_0, all_362_1, all_17_4, c,
% 144.39/19.77 | | | simplifying with (2), (20) gives:
% 144.39/19.77 | | | (21) all_362_1 = all_45_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (16), (21) imply:
% 144.39/19.77 | | | (22) lesseq(all_45_0, all_45_0) = all_362_0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (15), (21) imply:
% 144.39/19.77 | | | (23) $i(all_45_0)
% 144.39/19.77 | | |
% 144.39/19.77 | | | GROUND_INST: instantiating (5) with all_45_0, all_362_0, simplifying with
% 144.39/19.77 | | | (22), (23) gives:
% 144.39/19.77 | | | (24) all_362_0 = 0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (14), (24) imply:
% 144.39/19.77 | | | (25) $false
% 144.39/19.77 | | |
% 144.39/19.77 | | | CLOSE: (25) is inconsistent.
% 144.39/19.77 | | |
% 144.39/19.77 | | Case 2:
% 144.39/19.77 | | |
% 144.39/19.77 | | | (26) all_284_0 = 0
% 144.39/19.77 | | |
% 144.39/19.77 | | | REDUCE: (4), (26) imply:
% 144.39/19.77 | | | (27) $false
% 144.39/19.77 | | |
% 144.39/19.77 | | | CLOSE: (27) is inconsistent.
% 144.39/19.77 | | |
% 144.39/19.77 | | End of split
% 144.39/19.77 | |
% 144.39/19.77 | End of split
% 144.39/19.77 |
% 144.39/19.77 End of proof
% 144.39/19.77 % SZS output end Proof for theBenchmark
% 144.39/19.78
% 144.39/19.78 19164ms
%------------------------------------------------------------------------------