TSTP Solution File: SYO580+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n001.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 : Fri Sep  1 04:53:17 EDT 2023

% Result   : Theorem 41.54s 6.49s
% Output   : Proof 79.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 07:52:15 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.65  ________       _____
% 0.20/0.65  ___  __ \_________(_)________________________________
% 0.20/0.65  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.65  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.65  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.65  
% 0.20/0.65  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.65  (2023-06-19)
% 0.20/0.65  
% 0.20/0.65  (c) Philipp Rümmer, 2009-2023
% 0.20/0.65  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.65                Amanda Stjerna.
% 0.20/0.65  Free software under BSD-3-Clause.
% 0.20/0.65  
% 0.20/0.65  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.65  
% 0.20/0.65  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.66  Running up to 7 provers in parallel.
% 0.20/0.67  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.67  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.67  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.67  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.67  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.67  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.68  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 11.64/2.43  Prover 1: Preprocessing ...
% 11.98/2.45  Prover 4: Preprocessing ...
% 11.98/2.52  Prover 6: Preprocessing ...
% 11.98/2.52  Prover 3: Preprocessing ...
% 11.98/2.52  Prover 2: Preprocessing ...
% 11.98/2.52  Prover 5: Preprocessing ...
% 11.98/2.53  Prover 0: Preprocessing ...
% 24.20/4.15  Prover 2: Constructing countermodel ...
% 24.97/4.24  Prover 5: Constructing countermodel ...
% 32.55/5.39  Prover 6: Proving ...
% 32.55/5.47  Prover 3: Constructing countermodel ...
% 32.55/5.51  Prover 1: Constructing countermodel ...
% 38.18/6.13  Prover 0: Proving ...
% 38.67/6.27  Prover 4: Constructing countermodel ...
% 41.54/6.49  Prover 2: proved (5792ms)
% 41.54/6.49  
% 41.54/6.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.54/6.49  
% 41.54/6.50  Prover 6: stopped
% 41.54/6.52  Prover 3: stopped
% 41.54/6.52  Prover 5: stopped
% 41.54/6.52  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 41.54/6.52  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 41.54/6.52  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 41.54/6.52  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 41.54/6.52  Prover 0: stopped
% 41.54/6.54  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 46.35/7.19  Prover 7: Preprocessing ...
% 47.35/7.32  Prover 13: Preprocessing ...
% 47.35/7.33  Prover 8: Preprocessing ...
% 47.35/7.34  Prover 11: Preprocessing ...
% 47.83/7.35  Prover 10: Preprocessing ...
% 52.03/7.96  Prover 7: Constructing countermodel ...
% 52.72/8.05  Prover 10: Constructing countermodel ...
% 52.72/8.05  Prover 13: Constructing countermodel ...
% 58.73/8.84  Prover 8: Warning: ignoring some quantifiers
% 58.73/8.90  Prover 8: Constructing countermodel ...
% 63.66/9.48  Prover 11: Constructing countermodel ...
% 76.09/11.25  Prover 13: stopped
% 76.09/11.25  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 76.80/11.29  Prover 1: Found proof (size 24)
% 76.80/11.29  Prover 1: proved (10619ms)
% 77.02/11.29  Prover 11: stopped
% 77.02/11.29  Prover 8: stopped
% 77.02/11.30  Prover 7: stopped
% 77.02/11.30  Prover 4: stopped
% 77.02/11.31  Prover 10: stopped
% 77.49/11.45  Prover 16: Preprocessing ...
% 77.79/11.52  Prover 16: stopped
% 77.79/11.52  
% 77.79/11.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.79/11.52  
% 77.79/11.52  % SZS output start Proof for theBenchmark
% 77.79/11.54  Assumptions after simplification:
% 77.79/11.54  ---------------------------------
% 77.79/11.54  
% 77.79/11.54    (goals_886)
% 78.23/11.58     ? [v0: $i] :  ? [v1: any] :  ? [v2: any] : (b48_buttercup10305(v0) = v1 &
% 78.23/11.58      k04_buttercup10303(v0) = v2 & $i(v0) & ((v2 = 0 &  ~ (v1 = 0)) | (v1 = 0 & 
% 78.23/11.58          ~ (v2 = 0)))) &  ? [v0: $i] : (b48_buttercup10305(v0) = 0 &
% 78.23/11.58      k04_buttercup10303(v0) = 0 & $i(v0)) & ( ? [v0: $i] :  ? [v1: int] : ( ~ (v1
% 78.23/11.58          = 0) & b48_buttercup10305(v0) = v1 & k04_buttercup10303(v0) = 0 &
% 78.23/11.58        $i(v0)) |  ! [v0: $i] : ( ~ (b48_buttercup10305(v0) = 0) |  ~ $i(v0) |
% 78.23/11.58        k04_buttercup10303(v0) = 0)) & ( ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0)
% 78.23/11.58        & b48_buttercup10305(v0) = 0 & k04_buttercup10303(v0) = v1 & $i(v0)) |  !
% 78.23/11.58      [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (b48_buttercup10305(v0) = v1) |  ~
% 78.23/11.58        $i(v0) |  ? [v2: int] : ( ~ (v2 = 0) & k04_buttercup10303(v0) = v2)))
% 78.23/11.58  
% 78.23/11.58    (sos_320)
% 78.23/11.58     ! [v0: $i] : ( ~ (b48_buttercup10305(v0) = 0) |  ~ $i(v0) |
% 78.23/11.58      k04_buttercup10303(v0) = 0) &  ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) &
% 78.23/11.58      b48_buttercup10305(v0) = v1 & k04_buttercup10303(v0) = 0 & $i(v0))
% 78.23/11.58  
% 78.23/11.58    (function-axioms)
% 78.49/11.70     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10358(v2) = v1) |  ~ (b48_buttercup10358(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10422(v2) = v1) |  ~ (b48_buttercup10422(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10260(v2) = v1) |  ~ (b48_buttercup10260(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10255(v2) = v1) |  ~ (k04_buttercup10255(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10253(v2) = v1) |  ~ (b48_buttercup10253(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10261(v2) = v1) |  ~ (b48_buttercup10261(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10259(v2) = v1) |  ~ (k04_buttercup10259(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10042(v2) = v1) |  ~ (k04_buttercup10042(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10045(v2) = v1) |  ~ (b48_buttercup10045(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10044(v2) = v1) |  ~ (k04_buttercup10044(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10043(v2) = v1) |  ~ (b48_buttercup10043(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10451(v2) = v1) |  ~ (b48_buttercup10451(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10539(v2) = v1) |  ~ (k04_buttercup10539(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10538(v2) = v1) |  ~ (b48_buttercup10538(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10540(v2) = v1) |  ~ (k04_buttercup10540(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10541(v2) = v1) |  ~ (b48_buttercup10541(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10360(v2) = v1) |  ~ (k04_buttercup10360(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10359(v2) = v1) |  ~ (b48_buttercup10359(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10000(v2) = v1) |  ~ (k04_buttercup10000(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10286(v2) = v1) |  ~ (k04_buttercup10286(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10283(v2) = v1) |  ~ (b48_buttercup10283(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10004(v2) = v1) |  ~ (k04_buttercup10004(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10179(v2) = v1) |  ~ (b48_buttercup10179(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10460(v2) = v1) |  ~ (b48_buttercup10460(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10454(v2) = v1) |  ~ (b48_buttercup10454(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10421(v2) = v1) |  ~ (b48_buttercup10421(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10289(v2) = v1) |  ~ (b48_buttercup10289(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10357(v2) = v1) |  ~ (k04_buttercup10357(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10361(v2) = v1) |  ~ (b48_buttercup10361(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (k04_buttercup10288(v2) = v1) |  ~ (k04_buttercup10288(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10290(v2) = v1) |  ~ (b48_buttercup10290(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10019(v2) = v1) |  ~ (b48_buttercup10019(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10021(v2) = v1) |  ~ (b48_buttercup10021(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10022(v2) = v1) |  ~ (b48_buttercup10022(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10458(v2) = v1) |  ~ (b48_buttercup10458(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10456(v2) = v1) |  ~ (b48_buttercup10456(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10467(v2) = v1) |  ~ (b48_buttercup10467(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10466(v2) = v1) |  ~ (b48_buttercup10466(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10465(v2) = v1) |  ~ (b48_buttercup10465(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10646(v2) = v1) |  ~ (b48_buttercup10646(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10642(v2) = v1) |  ~ (b48_buttercup10642(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10629(v2) = v1) |  ~ (b48_buttercup10629(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10624(v2) = v1) |  ~ (b48_buttercup10624(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10616(v2) = v1) |  ~ (b48_buttercup10616(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10612(v2) = v1) |  ~ (b48_buttercup10612(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10609(v2) = v1) |  ~ (b48_buttercup10609(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10606(v2) = v1) |  ~ (b48_buttercup10606(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10605(v2) = v1) |  ~ (b48_buttercup10605(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10582(v2) = v1) |  ~ (b48_buttercup10582(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10579(v2) = v1) |  ~ (b48_buttercup10579(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10575(v2) = v1) |  ~ (b48_buttercup10575(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10572(v2) = v1) |  ~ (b48_buttercup10572(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10570(v2) = v1) |  ~ (b48_buttercup10570(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10549(v2) = v1) |  ~ (b48_buttercup10549(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10531(v2) = v1) |  ~ (b48_buttercup10531(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10530(v2) = v1) |  ~ (b48_buttercup10530(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10526(v2) = v1) |  ~ (b48_buttercup10526(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10522(v2) = v1) |  ~ (b48_buttercup10522(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10507(v2) = v1) |  ~ (b48_buttercup10507(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10502(v2) = v1) |  ~ (b48_buttercup10502(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10496(v2) = v1) |  ~ (b48_buttercup10496(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10493(v2) = v1) |  ~ (b48_buttercup10493(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10490(v2) = v1) |  ~ (b48_buttercup10490(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10471(v2) = v1) |  ~ (b48_buttercup10471(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10469(v2) = v1) |  ~ (b48_buttercup10469(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10450(v2) = v1) |  ~ (b48_buttercup10450(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10446(v2) = v1) |  ~ (b48_buttercup10446(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10443(v2) = v1) |  ~ (b48_buttercup10443(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10434(v2) = v1) |  ~ (b48_buttercup10434(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10433(v2) = v1) |  ~ (b48_buttercup10433(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10427(v2) = v1) |  ~ (b48_buttercup10427(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10420(v2) = v1) |  ~ (b48_buttercup10420(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10417(v2) = v1) |  ~ (b48_buttercup10417(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10411(v2) = v1) |  ~ (b48_buttercup10411(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10398(v2) = v1) |  ~ (b48_buttercup10398(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10394(v2) = v1) |  ~ (b48_buttercup10394(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10386(v2) = v1) |  ~ (b48_buttercup10386(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10383(v2) = v1) |  ~ (b48_buttercup10383(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10381(v2) = v1) |  ~ (b48_buttercup10381(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10378(v2) = v1) |  ~ (b48_buttercup10378(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10365(v2) = v1) |  ~ (b48_buttercup10365(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10182(v2) = v1) |  ~ (b48_buttercup10182(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10180(v2) = v1) |  ~ (b48_buttercup10180(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10176(v2) = v1) |  ~ (b48_buttercup10176(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10143(v2) = v1) |  ~ (b48_buttercup10143(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10121(v2) = v1) |  ~ (b48_buttercup10121(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10092(v2) = v1) |  ~ (b48_buttercup10092(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10086(v2) = v1) |  ~ (b48_buttercup10086(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10085(v2) = v1) |  ~ (b48_buttercup10085(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10082(v2) = v1) |  ~ (b48_buttercup10082(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10076(v2) = v1) |  ~ (b48_buttercup10076(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10035(v2) = v1) |  ~ (b48_buttercup10035(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.70      v0 |  ~ (b48_buttercup10013(v2) = v1) |  ~ (b48_buttercup10013(v2) = v0)) & 
% 78.49/11.70    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10362(v2) = v1) |  ~ (b48_buttercup10362(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10353(v2) = v1) |  ~ (b48_buttercup10353(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10332(v2) = v1) |  ~ (b48_buttercup10332(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10326(v2) = v1) |  ~ (b48_buttercup10326(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10322(v2) = v1) |  ~ (b48_buttercup10322(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10309(v2) = v1) |  ~ (b48_buttercup10309(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10279(v2) = v1) |  ~ (b48_buttercup10279(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10272(v2) = v1) |  ~ (b48_buttercup10272(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10269(v2) = v1) |  ~ (b48_buttercup10269(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10248(v2) = v1) |  ~ (b48_buttercup10248(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10247(v2) = v1) |  ~ (b48_buttercup10247(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10240(v2) = v1) |  ~ (b48_buttercup10240(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10231(v2) = v1) |  ~ (b48_buttercup10231(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10199(v2) = v1) |  ~ (b48_buttercup10199(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10198(v2) = v1) |  ~ (b48_buttercup10198(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10197(v2) = v1) |  ~ (b48_buttercup10197(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10196(v2) = v1) |  ~ (b48_buttercup10196(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10007(v2) = v1) |  ~ (b48_buttercup10007(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10273(v2) = v1) |  ~ (b48_buttercup10273(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10271(v2) = v1) |  ~ (b48_buttercup10271(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10521(v2) = v1) |  ~ (b48_buttercup10521(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10520(v2) = v1) |  ~ (b48_buttercup10520(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10519(v2) = v1) |  ~ (b48_buttercup10519(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10518(v2) = v1) |  ~ (b48_buttercup10518(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10515(v2) = v1) |  ~ (b48_buttercup10515(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10562(v2) = v1) |  ~ (b48_buttercup10562(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10561(v2) = v1) |  ~ (b48_buttercup10561(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10552(v2) = v1) |  ~ (b48_buttercup10552(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10075(v2) = v1) |  ~ (b48_buttercup10075(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10072(v2) = v1) |  ~ (b48_buttercup10072(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10070(v2) = v1) |  ~ (b48_buttercup10070(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10068(v2) = v1) |  ~ (b48_buttercup10068(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10065(v2) = v1) |  ~ (b48_buttercup10065(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10058(v2) = v1) |  ~ (b48_buttercup10058(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10054(v2) = v1) |  ~ (b48_buttercup10054(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10514(v2) = v1) |  ~ (b48_buttercup10514(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10513(v2) = v1) |  ~ (b48_buttercup10513(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10512(v2) = v1) |  ~ (b48_buttercup10512(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10220(v2) = v1) |  ~ (b48_buttercup10220(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10217(v2) = v1) |  ~ (b48_buttercup10217(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10214(v2) = v1) |  ~ (b48_buttercup10214(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10210(v2) = v1) |  ~ (b48_buttercup10210(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10208(v2) = v1) |  ~ (b48_buttercup10208(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10201(v2) = v1) |  ~ (b48_buttercup10201(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10160(v2) = v1) |  ~ (b48_buttercup10160(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10159(v2) = v1) |  ~ (b48_buttercup10159(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10158(v2) = v1) |  ~ (b48_buttercup10158(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10156(v2) = v1) |  ~ (b48_buttercup10156(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10154(v2) = v1) |  ~ (b48_buttercup10154(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10150(v2) = v1) |  ~ (b48_buttercup10150(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10574(v2) = v1) |  ~ (b48_buttercup10574(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10563(v2) = v1) |  ~ (b48_buttercup10563(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10034(v2) = v1) |  ~ (b48_buttercup10034(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10031(v2) = v1) |  ~ (b48_buttercup10031(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10024(v2) = v1) |  ~ (b48_buttercup10024(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10029(v2) = v1) |  ~ (b48_buttercup10029(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10640(v2) = v1) |  ~ (b48_buttercup10640(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10638(v2) = v1) |  ~ (b48_buttercup10638(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10636(v2) = v1) |  ~ (b48_buttercup10636(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10632(v2) = v1) |  ~ (b48_buttercup10632(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10174(v2) = v1) |  ~ (b48_buttercup10174(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10173(v2) = v1) |  ~ (b48_buttercup10173(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10170(v2) = v1) |  ~ (b48_buttercup10170(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10320(v2) = v1) |  ~ (b48_buttercup10320(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10318(v2) = v1) |  ~ (b48_buttercup10318(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10313(v2) = v1) |  ~ (b48_buttercup10313(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10299(v2) = v1) |  ~ (b48_buttercup10299(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10294(v2) = v1) |  ~ (b48_buttercup10294(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10291(v2) = v1) |  ~ (b48_buttercup10291(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10377(v2) = v1) |  ~ (b48_buttercup10377(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10374(v2) = v1) |  ~ (b48_buttercup10374(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10370(v2) = v1) |  ~ (b48_buttercup10370(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10367(v2) = v1) |  ~ (b48_buttercup10367(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10604(v2) = v1) |  ~ (b48_buttercup10604(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10596(v2) = v1) |  ~ (b48_buttercup10596(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10589(v2) = v1) |  ~ (b48_buttercup10589(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10120(v2) = v1) |  ~ (b48_buttercup10120(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10119(v2) = v1) |  ~ (b48_buttercup10119(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10115(v2) = v1) |  ~ (b48_buttercup10115(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10169(v2) = v1) |  ~ (b48_buttercup10169(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10167(v2) = v1) |  ~ (b48_buttercup10167(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10166(v2) = v1) |  ~ (b48_buttercup10166(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10161(v2) = v1) |  ~ (b48_buttercup10161(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10410(v2) = v1) |  ~ (b48_buttercup10410(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10405(v2) = v1) |  ~ (b48_buttercup10405(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10402(v2) = v1) |  ~ (b48_buttercup10402(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10278(v2) = v1) |  ~ (b48_buttercup10278(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10277(v2) = v1) |  ~ (b48_buttercup10277(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10276(v2) = v1) |  ~ (b48_buttercup10276(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10275(v2) = v1) |  ~ (b48_buttercup10275(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10274(v2) = v1) |  ~ (b48_buttercup10274(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10548(v2) = v1) |  ~ (b48_buttercup10548(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10545(v2) = v1) |  ~ (b48_buttercup10545(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10542(v2) = v1) |  ~ (b48_buttercup10542(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10489(v2) = v1) |  ~ (b48_buttercup10489(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10487(v2) = v1) |  ~ (b48_buttercup10487(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10483(v2) = v1) |  ~ (b48_buttercup10483(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10479(v2) = v1) |  ~ (b48_buttercup10479(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10478(v2) = v1) |  ~ (b48_buttercup10478(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10474(v2) = v1) |  ~ (b48_buttercup10474(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10442(v2) = v1) |  ~ (b48_buttercup10442(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10441(v2) = v1) |  ~ (b48_buttercup10441(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10440(v2) = v1) |  ~ (b48_buttercup10440(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10111(v2) = v1) |  ~ (b48_buttercup10111(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10110(v2) = v1) |  ~ (b48_buttercup10110(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10109(v2) = v1) |  ~ (b48_buttercup10109(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10108(v2) = v1) |  ~ (b48_buttercup10108(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10107(v2) = v1) |  ~ (b48_buttercup10107(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10104(v2) = v1) |  ~ (b48_buttercup10104(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10102(v2) = v1) |  ~ (b48_buttercup10102(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10098(v2) = v1) |  ~ (b48_buttercup10098(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10268(v2) = v1) |  ~ (b48_buttercup10268(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10267(v2) = v1) |  ~ (b48_buttercup10267(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10266(v2) = v1) |  ~ (b48_buttercup10266(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10352(v2) = v1) |  ~ (b48_buttercup10352(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10348(v2) = v1) |  ~ (b48_buttercup10348(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10344(v2) = v1) |  ~ (b48_buttercup10344(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10343(v2) = v1) |  ~ (b48_buttercup10343(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10334(v2) = v1) |  ~ (b48_buttercup10334(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10134(v2) = v1) |  ~ (b48_buttercup10134(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10133(v2) = v1) |  ~ (b48_buttercup10133(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10130(v2) = v1) |  ~ (b48_buttercup10130(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10195(v2) = v1) |  ~ (b48_buttercup10195(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10193(v2) = v1) |  ~ (b48_buttercup10193(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10191(v2) = v1) |  ~ (b48_buttercup10191(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10186(v2) = v1) |  ~ (b48_buttercup10186(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10229(v2) = v1) |  ~ (b48_buttercup10229(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10228(v2) = v1) |  ~ (b48_buttercup10228(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10227(v2) = v1) |  ~ (b48_buttercup10227(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10222(v2) = v1) |  ~ (b48_buttercup10222(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10308(v2) = v1) |  ~ (b48_buttercup10308(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10307(v2) = v1) |  ~ (b48_buttercup10307(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10300(v2) = v1) |  ~ (b48_buttercup10300(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10305(v2) = v1) |  ~ (b48_buttercup10305(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10052(v2) = v1) |  ~ (b48_buttercup10052(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10050(v2) = v1) |  ~ (b48_buttercup10050(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (b48_buttercup10046(v2) = v1) |  ~ (b48_buttercup10046(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10643(v2) = v1) |  ~ (k04_buttercup10643(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10631(v2) = v1) |  ~ (k04_buttercup10631(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10628(v2) = v1) |  ~ (k04_buttercup10628(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10626(v2) = v1) |  ~ (k04_buttercup10626(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10611(v2) = v1) |  ~ (k04_buttercup10611(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10608(v2) = v1) |  ~ (k04_buttercup10608(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10586(v2) = v1) |  ~ (k04_buttercup10586(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10581(v2) = v1) |  ~ (k04_buttercup10581(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10578(v2) = v1) |  ~ (k04_buttercup10578(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10567(v2) = v1) |  ~ (k04_buttercup10567(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10551(v2) = v1) |  ~ (k04_buttercup10551(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10535(v2) = v1) |  ~ (k04_buttercup10535(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10529(v2) = v1) |  ~ (k04_buttercup10529(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10524(v2) = v1) |  ~ (k04_buttercup10524(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10510(v2) = v1) |  ~ (k04_buttercup10510(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10499(v2) = v1) |  ~ (k04_buttercup10499(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10495(v2) = v1) |  ~ (k04_buttercup10495(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10492(v2) = v1) |  ~ (k04_buttercup10492(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10473(v2) = v1) |  ~ (k04_buttercup10473(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10470(v2) = v1) |  ~ (k04_buttercup10470(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10445(v2) = v1) |  ~ (k04_buttercup10445(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10437(v2) = v1) |  ~ (k04_buttercup10437(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10430(v2) = v1) |  ~ (k04_buttercup10430(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10419(v2) = v1) |  ~ (k04_buttercup10419(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10415(v2) = v1) |  ~ (k04_buttercup10415(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10400(v2) = v1) |  ~ (k04_buttercup10400(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10397(v2) = v1) |  ~ (k04_buttercup10397(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10391(v2) = v1) |  ~ (k04_buttercup10391(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10389(v2) = v1) |  ~ (k04_buttercup10389(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10385(v2) = v1) |  ~ (k04_buttercup10385(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10382(v2) = v1) |  ~ (k04_buttercup10382(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10380(v2) = v1) |  ~ (k04_buttercup10380(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10364(v2) = v1) |  ~ (k04_buttercup10364(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10181(v2) = v1) |  ~ (k04_buttercup10181(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10172(v2) = v1) |  ~ (k04_buttercup10172(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10164(v2) = v1) |  ~ (k04_buttercup10164(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10153(v2) = v1) |  ~ (k04_buttercup10153(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10147(v2) = v1) |  ~ (k04_buttercup10147(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10135(v2) = v1) |  ~ (k04_buttercup10135(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10132(v2) = v1) |  ~ (k04_buttercup10132(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10125(v2) = v1) |  ~ (k04_buttercup10125(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10117(v2) = v1) |  ~ (k04_buttercup10117(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10100(v2) = v1) |  ~ (k04_buttercup10100(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10089(v2) = v1) |  ~ (k04_buttercup10089(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10084(v2) = v1) |  ~ (k04_buttercup10084(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10079(v2) = v1) |  ~ (k04_buttercup10079(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10053(v2) = v1) |  ~ (k04_buttercup10053(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10039(v2) = v1) |  ~ (k04_buttercup10039(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10016(v2) = v1) |  ~ (k04_buttercup10016(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10356(v2) = v1) |  ~ (k04_buttercup10356(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10333(v2) = v1) |  ~ (k04_buttercup10333(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10329(v2) = v1) |  ~ (k04_buttercup10329(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10325(v2) = v1) |  ~ (k04_buttercup10325(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10316(v2) = v1) |  ~ (k04_buttercup10316(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10312(v2) = v1) |  ~ (k04_buttercup10312(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10303(v2) = v1) |  ~ (k04_buttercup10303(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10282(v2) = v1) |  ~ (k04_buttercup10282(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10252(v2) = v1) |  ~ (k04_buttercup10252(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10244(v2) = v1) |  ~ (k04_buttercup10244(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10225(v2) = v1) |  ~ (k04_buttercup10225(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10221(v2) = v1) |  ~ (k04_buttercup10221(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10200(v2) = v1) |  ~ (k04_buttercup10200(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10190(v2) = v1) |  ~ (k04_buttercup10190(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10184(v2) = v1) |  ~ (k04_buttercup10184(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10012(v2) = v1) |  ~ (k04_buttercup10012(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10517(v2) = v1) |  ~ (k04_buttercup10517(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10516(v2) = v1) |  ~ (k04_buttercup10516(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10142(v2) = v1) |  ~ (k04_buttercup10142(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10139(v2) = v1) |  ~ (k04_buttercup10139(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10504(v2) = v1) |  ~ (k04_buttercup10504(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10506(v2) = v1) |  ~ (k04_buttercup10506(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10622(v2) = v1) |  ~ (k04_buttercup10622(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10620(v2) = v1) |  ~ (k04_buttercup10620(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10619(v2) = v1) |  ~ (k04_buttercup10619(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10559(v2) = v1) |  ~ (k04_buttercup10559(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10555(v2) = v1) |  ~ (k04_buttercup10555(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10074(v2) = v1) |  ~ (k04_buttercup10074(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10067(v2) = v1) |  ~ (k04_buttercup10067(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10064(v2) = v1) |  ~ (k04_buttercup10064(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10061(v2) = v1) |  ~ (k04_buttercup10061(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10057(v2) = v1) |  ~ (k04_buttercup10057(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10219(v2) = v1) |  ~ (k04_buttercup10219(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10213(v2) = v1) |  ~ (k04_buttercup10213(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10206(v2) = v1) |  ~ (k04_buttercup10206(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10204(v2) = v1) |  ~ (k04_buttercup10204(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10425(v2) = v1) |  ~ (k04_buttercup10425(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10424(v2) = v1) |  ~ (k04_buttercup10424(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10033(v2) = v1) |  ~ (k04_buttercup10033(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10028(v2) = v1) |  ~ (k04_buttercup10028(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10026(v2) = v1) |  ~ (k04_buttercup10026(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10641(v2) = v1) |  ~ (k04_buttercup10641(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10639(v2) = v1) |  ~ (k04_buttercup10639(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10637(v2) = v1) |  ~ (k04_buttercup10637(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10635(v2) = v1) |  ~ (k04_buttercup10635(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10298(v2) = v1) |  ~ (k04_buttercup10298(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10296(v2) = v1) |  ~ (k04_buttercup10296(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10293(v2) = v1) |  ~ (k04_buttercup10293(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10376(v2) = v1) |  ~ (k04_buttercup10376(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10373(v2) = v1) |  ~ (k04_buttercup10373(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10371(v2) = v1) |  ~ (k04_buttercup10371(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10369(v2) = v1) |  ~ (k04_buttercup10369(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10238(v2) = v1) |  ~ (k04_buttercup10238(v2) = v0)) & 
% 78.49/11.71    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.71      v0 |  ~ (k04_buttercup10236(v2) = v1) |  ~ (k04_buttercup10236(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10234(v2) = v1) |  ~ (k04_buttercup10234(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10602(v2) = v1) |  ~ (k04_buttercup10602(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10599(v2) = v1) |  ~ (k04_buttercup10599(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10593(v2) = v1) |  ~ (k04_buttercup10593(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10408(v2) = v1) |  ~ (k04_buttercup10408(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10406(v2) = v1) |  ~ (k04_buttercup10406(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10404(v2) = v1) |  ~ (k04_buttercup10404(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10547(v2) = v1) |  ~ (k04_buttercup10547(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10546(v2) = v1) |  ~ (k04_buttercup10546(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10544(v2) = v1) |  ~ (k04_buttercup10544(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10486(v2) = v1) |  ~ (k04_buttercup10486(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10482(v2) = v1) |  ~ (k04_buttercup10482(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10477(v2) = v1) |  ~ (k04_buttercup10477(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10464(v2) = v1) |  ~ (k04_buttercup10464(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10462(v2) = v1) |  ~ (k04_buttercup10462(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10453(v2) = v1) |  ~ (k04_buttercup10453(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10449(v2) = v1) |  ~ (k04_buttercup10449(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10351(v2) = v1) |  ~ (k04_buttercup10351(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10347(v2) = v1) |  ~ (k04_buttercup10347(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10342(v2) = v1) |  ~ (k04_buttercup10342(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10337(v2) = v1) |  ~ (k04_buttercup10337(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10097(v2) = v1) |  ~ (k04_buttercup10097(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10096(v2) = v1) |  ~ (k04_buttercup10096(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10095(v2) = v1) |  ~ (k04_buttercup10095(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10051(v2) = v1) |  ~ (k04_buttercup10051(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10049(v2) = v1) |  ~ (k04_buttercup10049(v2) = v0)) & 
% 78.49/11.72    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 78.49/11.72      v0 |  ~ (k04_buttercup10048(v2) = v1) |  ~ (k04_buttercup10048(v2) = v0))
% 78.49/11.72  
% 78.49/11.72  Further assumptions not needed in the proof:
% 78.49/11.72  --------------------------------------------
% 78.49/11.72  sos_01, sos_02, sos_03, sos_04, sos_05, sos_06, sos_07, sos_08, sos_09, sos_10,
% 78.49/11.72  sos_100, sos_101, sos_102, sos_103, sos_104, sos_105, sos_106, sos_107, sos_108,
% 78.49/11.72  sos_109, sos_11, sos_110, sos_111, sos_112, sos_113, sos_114, sos_115, sos_116,
% 78.49/11.72  sos_117, sos_118, sos_119, sos_12, sos_120, sos_121, sos_122, sos_123, sos_124,
% 78.49/11.72  sos_125, sos_126, sos_127, sos_128, sos_129, sos_13, sos_130, sos_131, sos_132,
% 78.49/11.72  sos_133, sos_134, sos_135, sos_136, sos_137, sos_138, sos_139, sos_14, sos_140,
% 78.49/11.72  sos_141, sos_142, sos_143, sos_144, sos_145, sos_146, sos_147, sos_148, sos_149,
% 78.49/11.72  sos_15, sos_150, sos_151, sos_152, sos_153, sos_154, sos_155, sos_156, sos_157,
% 78.49/11.72  sos_158, sos_159, sos_16, sos_160, sos_161, sos_162, sos_163, sos_164, sos_165,
% 78.49/11.72  sos_166, sos_167, sos_168, sos_169, sos_17, sos_170, sos_171, sos_172, sos_173,
% 78.49/11.72  sos_174, sos_175, sos_176, sos_177, sos_178, sos_179, sos_18, sos_180, sos_181,
% 78.49/11.72  sos_182, sos_183, sos_184, sos_185, sos_186, sos_187, sos_188, sos_189, sos_19,
% 78.49/11.72  sos_190, sos_191, sos_192, sos_193, sos_194, sos_195, sos_196, sos_197, sos_198,
% 78.49/11.72  sos_199, sos_20, sos_200, sos_201, sos_202, sos_203, sos_204, sos_205, sos_206,
% 78.49/11.72  sos_207, sos_208, sos_209, sos_21, sos_210, sos_211, sos_212, sos_213, sos_214,
% 78.49/11.72  sos_215, sos_216, sos_217, sos_218, sos_219, sos_22, sos_220, sos_221, sos_222,
% 78.49/11.72  sos_223, sos_224, sos_225, sos_226, sos_227, sos_228, sos_229, sos_23, sos_230,
% 78.49/11.72  sos_231, sos_232, sos_233, sos_234, sos_235, sos_236, sos_237, sos_238, sos_239,
% 78.49/11.72  sos_24, sos_240, sos_241, sos_242, sos_243, sos_244, sos_245, sos_246, sos_247,
% 78.49/11.72  sos_248, sos_249, sos_25, sos_250, sos_251, sos_252, sos_253, sos_254, sos_255,
% 78.49/11.72  sos_256, sos_257, sos_258, sos_259, sos_26, sos_260, sos_261, sos_262, sos_263,
% 78.49/11.72  sos_264, sos_265, sos_266, sos_267, sos_268, sos_269, sos_27, sos_270, sos_271,
% 78.49/11.72  sos_272, sos_273, sos_274, sos_275, sos_276, sos_277, sos_278, sos_279, sos_28,
% 78.49/11.72  sos_280, sos_281, sos_282, sos_283, sos_284, sos_285, sos_286, sos_287, sos_288,
% 78.49/11.72  sos_289, sos_29, sos_290, sos_291, sos_292, sos_293, sos_294, sos_295, sos_296,
% 78.49/11.72  sos_297, sos_298, sos_299, sos_30, sos_300, sos_301, sos_302, sos_303, sos_304,
% 78.49/11.72  sos_305, sos_306, sos_307, sos_308, sos_309, sos_31, sos_310, sos_311, sos_312,
% 78.49/11.72  sos_313, sos_314, sos_315, sos_316, sos_317, sos_318, sos_319, sos_32, sos_321,
% 78.49/11.72  sos_322, sos_323, sos_324, sos_325, sos_326, sos_327, sos_328, sos_329, sos_33,
% 78.49/11.72  sos_330, sos_331, sos_332, sos_333, sos_334, sos_335, sos_336, sos_337, sos_338,
% 78.49/11.72  sos_339, sos_34, sos_340, sos_341, sos_342, sos_343, sos_344, sos_345, sos_346,
% 78.49/11.72  sos_347, sos_348, sos_349, sos_35, sos_350, sos_351, sos_352, sos_353, sos_354,
% 78.49/11.72  sos_355, sos_356, sos_357, sos_358, sos_359, sos_36, sos_360, sos_361, sos_362,
% 78.49/11.72  sos_363, sos_364, sos_365, sos_366, sos_367, sos_368, sos_369, sos_37, sos_370,
% 78.49/11.72  sos_371, sos_372, sos_373, sos_374, sos_375, sos_376, sos_377, sos_378, sos_379,
% 78.49/11.72  sos_38, sos_380, sos_381, sos_382, sos_383, sos_384, sos_385, sos_386, sos_387,
% 78.49/11.72  sos_388, sos_389, sos_39, sos_390, sos_391, sos_392, sos_393, sos_394, sos_395,
% 78.49/11.72  sos_396, sos_397, sos_398, sos_399, sos_40, sos_400, sos_401, sos_402, sos_403,
% 78.49/11.72  sos_404, sos_405, sos_406, sos_407, sos_408, sos_409, sos_41, sos_410, sos_411,
% 78.49/11.72  sos_412, sos_413, sos_414, sos_415, sos_416, sos_417, sos_418, sos_419, sos_42,
% 78.49/11.72  sos_420, sos_421, sos_422, sos_423, sos_424, sos_425, sos_426, sos_427, sos_428,
% 78.49/11.72  sos_429, sos_43, sos_430, sos_431, sos_432, sos_433, sos_434, sos_435, sos_436,
% 78.49/11.72  sos_437, sos_438, sos_439, sos_44, sos_440, sos_441, sos_442, sos_443, sos_444,
% 78.49/11.72  sos_445, sos_446, sos_447, sos_448, sos_449, sos_45, sos_450, sos_451, sos_452,
% 78.49/11.72  sos_453, sos_454, sos_455, sos_456, sos_457, sos_458, sos_459, sos_46, sos_460,
% 78.49/11.72  sos_461, sos_462, sos_463, sos_464, sos_465, sos_466, sos_467, sos_468, sos_469,
% 78.49/11.72  sos_47, sos_470, sos_471, sos_472, sos_473, sos_474, sos_475, sos_476, sos_477,
% 78.49/11.72  sos_478, sos_479, sos_48, sos_480, sos_481, sos_482, sos_483, sos_484, sos_485,
% 78.49/11.72  sos_486, sos_487, sos_488, sos_489, sos_49, sos_490, sos_491, sos_492, sos_493,
% 78.49/11.72  sos_494, sos_495, sos_496, sos_497, sos_498, sos_499, sos_50, sos_500, sos_501,
% 78.49/11.72  sos_502, sos_503, sos_504, sos_505, sos_506, sos_507, sos_508, sos_509, sos_51,
% 78.49/11.72  sos_510, sos_511, sos_512, sos_513, sos_514, sos_515, sos_516, sos_517, sos_518,
% 78.49/11.72  sos_519, sos_52, sos_520, sos_521, sos_522, sos_523, sos_524, sos_525, sos_526,
% 78.49/11.72  sos_527, sos_528, sos_529, sos_53, sos_530, sos_531, sos_532, sos_533, sos_534,
% 78.49/11.72  sos_535, sos_536, sos_537, sos_538, sos_539, sos_54, sos_540, sos_541, sos_542,
% 78.49/11.72  sos_543, sos_544, sos_545, sos_546, sos_547, sos_548, sos_549, sos_55, sos_550,
% 78.49/11.72  sos_551, sos_552, sos_553, sos_554, sos_555, sos_556, sos_557, sos_558, sos_559,
% 78.49/11.72  sos_56, sos_560, sos_561, sos_562, sos_563, sos_564, sos_565, sos_566, sos_567,
% 78.49/11.72  sos_568, sos_569, sos_57, sos_570, sos_571, sos_572, sos_573, sos_574, sos_575,
% 78.49/11.72  sos_576, sos_577, sos_578, sos_579, sos_58, sos_580, sos_581, sos_582, sos_583,
% 78.49/11.72  sos_584, sos_585, sos_586, sos_587, sos_588, sos_589, sos_59, sos_590, sos_591,
% 78.49/11.72  sos_592, sos_593, sos_594, sos_595, sos_596, sos_597, sos_598, sos_599, sos_60,
% 78.49/11.72  sos_600, sos_601, sos_602, sos_603, sos_604, sos_605, sos_606, sos_607, sos_608,
% 78.49/11.72  sos_609, sos_61, sos_610, sos_611, sos_612, sos_613, sos_614, sos_615, sos_616,
% 78.49/11.72  sos_617, sos_618, sos_619, sos_62, sos_620, sos_621, sos_622, sos_623, sos_624,
% 78.49/11.72  sos_625, sos_626, sos_627, sos_628, sos_629, sos_63, sos_630, sos_631, sos_632,
% 78.49/11.72  sos_633, sos_634, sos_635, sos_636, sos_637, sos_638, sos_639, sos_64, sos_640,
% 78.49/11.72  sos_641, sos_642, sos_643, sos_644, sos_645, sos_646, sos_647, sos_648, sos_649,
% 78.49/11.72  sos_65, sos_650, sos_651, sos_652, sos_653, sos_654, sos_655, sos_656, sos_657,
% 78.49/11.72  sos_658, sos_659, sos_66, sos_660, sos_661, sos_662, sos_663, sos_664, sos_665,
% 78.49/11.72  sos_666, sos_667, sos_668, sos_669, sos_67, sos_670, sos_671, sos_672, sos_673,
% 78.49/11.72  sos_674, sos_675, sos_676, sos_677, sos_678, sos_679, sos_68, sos_680, sos_681,
% 78.49/11.72  sos_682, sos_683, sos_684, sos_685, sos_686, sos_687, sos_688, sos_689, sos_69,
% 78.49/11.72  sos_690, sos_691, sos_692, sos_693, sos_694, sos_695, sos_696, sos_697, sos_698,
% 78.49/11.72  sos_699, sos_70, sos_700, sos_701, sos_702, sos_703, sos_704, sos_705, sos_706,
% 78.49/11.72  sos_707, sos_708, sos_709, sos_71, sos_710, sos_711, sos_712, sos_713, sos_714,
% 78.49/11.72  sos_715, sos_716, sos_717, sos_718, sos_719, sos_72, sos_720, sos_721, sos_722,
% 78.49/11.72  sos_723, sos_724, sos_725, sos_726, sos_727, sos_728, sos_729, sos_73, sos_730,
% 78.49/11.72  sos_731, sos_732, sos_733, sos_734, sos_735, sos_736, sos_737, sos_738, sos_739,
% 78.49/11.72  sos_74, sos_740, sos_741, sos_742, sos_743, sos_744, sos_745, sos_746, sos_747,
% 78.49/11.72  sos_748, sos_749, sos_75, sos_750, sos_751, sos_752, sos_753, sos_754, sos_755,
% 78.49/11.72  sos_756, sos_757, sos_758, sos_759, sos_76, sos_760, sos_761, sos_762, sos_763,
% 78.49/11.72  sos_764, sos_765, sos_766, sos_767, sos_768, sos_769, sos_77, sos_770, sos_771,
% 78.49/11.72  sos_772, sos_773, sos_774, sos_775, sos_776, sos_777, sos_778, sos_779, sos_78,
% 78.49/11.72  sos_780, sos_781, sos_782, sos_783, sos_784, sos_785, sos_786, sos_787, sos_788,
% 78.49/11.72  sos_789, sos_79, sos_790, sos_791, sos_792, sos_793, sos_794, sos_795, sos_796,
% 78.49/11.72  sos_797, sos_798, sos_799, sos_80, sos_800, sos_801, sos_802, sos_803, sos_804,
% 78.49/11.72  sos_805, sos_806, sos_807, sos_808, sos_809, sos_81, sos_810, sos_811, sos_812,
% 78.49/11.72  sos_813, sos_814, sos_815, sos_816, sos_817, sos_818, sos_819, sos_82, sos_820,
% 78.49/11.72  sos_821, sos_822, sos_823, sos_824, sos_825, sos_826, sos_827, sos_828, sos_829,
% 78.49/11.72  sos_83, sos_830, sos_831, sos_832, sos_833, sos_834, sos_835, sos_836, sos_837,
% 78.49/11.72  sos_838, sos_839, sos_84, sos_840, sos_841, sos_842, sos_843, sos_844, sos_845,
% 78.49/11.72  sos_846, sos_847, sos_848, sos_849, sos_85, sos_850, sos_851, sos_852, sos_853,
% 78.49/11.72  sos_854, sos_855, sos_856, sos_857, sos_858, sos_859, sos_86, sos_860, sos_861,
% 78.49/11.72  sos_862, sos_863, sos_864, sos_865, sos_866, sos_867, sos_868, sos_869, sos_87,
% 78.49/11.72  sos_870, sos_871, sos_872, sos_873, sos_874, sos_875, sos_876, sos_877, sos_878,
% 78.49/11.72  sos_879, sos_88, sos_880, sos_881, sos_882, sos_883, sos_884, sos_885, sos_89,
% 78.49/11.72  sos_90, sos_91, sos_92, sos_93, sos_94, sos_95, sos_96, sos_97, sos_98, sos_99
% 78.49/11.72  
% 78.49/11.72  Those formulas are unsatisfiable:
% 78.49/11.72  ---------------------------------
% 78.49/11.72  
% 78.49/11.72  Begin of proof
% 78.49/11.72  | 
% 78.49/11.72  | ALPHA: (sos_320) implies:
% 78.49/11.73  |   (1)   ! [v0: $i] : ( ~ (b48_buttercup10305(v0) = 0) |  ~ $i(v0) |
% 78.49/11.73  |          k04_buttercup10303(v0) = 0)
% 78.49/11.73  |   (2)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & b48_buttercup10305(v0) = v1
% 78.49/11.73  |          & k04_buttercup10303(v0) = 0 & $i(v0))
% 78.49/11.73  | 
% 78.49/11.73  | ALPHA: (goals_886) implies:
% 78.49/11.73  |   (3)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & b48_buttercup10305(v0) = 0
% 78.49/11.73  |          & k04_buttercup10303(v0) = v1 & $i(v0)) |  ! [v0: $i] :  ! [v1: int]
% 78.49/11.73  |        : (v1 = 0 |  ~ (b48_buttercup10305(v0) = v1) |  ~ $i(v0) |  ? [v2: int]
% 78.49/11.73  |          : ( ~ (v2 = 0) & k04_buttercup10303(v0) = v2))
% 78.49/11.73  | 
% 78.49/11.73  | ALPHA: (function-axioms) implies:
% 78.49/11.73  |   (4)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 78.49/11.73  |        (v1 = v0 |  ~ (k04_buttercup10303(v2) = v1) |  ~
% 78.49/11.73  |          (k04_buttercup10303(v2) = v0))
% 78.49/11.73  | 
% 78.49/11.73  | BETA: splitting (3) gives:
% 78.49/11.73  | 
% 78.49/11.73  | Case 1:
% 78.49/11.73  | | 
% 78.49/11.73  | |   (5)   ? [v0: $i] :  ? [v1: int] : ( ~ (v1 = 0) & b48_buttercup10305(v0) =
% 78.49/11.73  | |          0 & k04_buttercup10303(v0) = v1 & $i(v0))
% 78.49/11.73  | | 
% 78.49/11.73  | | DELTA: instantiating (5) with fresh symbols all_1405_0, all_1405_1 gives:
% 78.49/11.73  | |   (6)   ~ (all_1405_0 = 0) & b48_buttercup10305(all_1405_1) = 0 &
% 78.49/11.73  | |        k04_buttercup10303(all_1405_1) = all_1405_0 & $i(all_1405_1)
% 78.49/11.73  | | 
% 78.49/11.73  | | ALPHA: (6) implies:
% 78.49/11.73  | |   (7)   ~ (all_1405_0 = 0)
% 78.49/11.73  | |   (8)  $i(all_1405_1)
% 79.02/11.73  | |   (9)  k04_buttercup10303(all_1405_1) = all_1405_0
% 79.02/11.73  | |   (10)  b48_buttercup10305(all_1405_1) = 0
% 79.02/11.73  | | 
% 79.02/11.73  | | GROUND_INST: instantiating (1) with all_1405_1, simplifying with (8), (10)
% 79.02/11.73  | |              gives:
% 79.02/11.73  | |   (11)  k04_buttercup10303(all_1405_1) = 0
% 79.02/11.73  | | 
% 79.02/11.73  | | GROUND_INST: instantiating (4) with all_1405_0, 0, all_1405_1, simplifying
% 79.02/11.73  | |              with (9), (11) gives:
% 79.02/11.73  | |   (12)  all_1405_0 = 0
% 79.02/11.73  | | 
% 79.02/11.73  | | REDUCE: (7), (12) imply:
% 79.02/11.73  | |   (13)  $false
% 79.02/11.73  | | 
% 79.02/11.73  | | CLOSE: (13) is inconsistent.
% 79.02/11.73  | | 
% 79.02/11.73  | Case 2:
% 79.02/11.73  | | 
% 79.02/11.74  | |   (14)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (b48_buttercup10305(v0) =
% 79.02/11.74  | |             v1) |  ~ $i(v0) |  ? [v2: int] : ( ~ (v2 = 0) &
% 79.02/11.74  | |             k04_buttercup10303(v0) = v2))
% 79.02/11.74  | | 
% 79.02/11.74  | | DELTA: instantiating (2) with fresh symbols all_1409_0, all_1409_1 gives:
% 79.02/11.74  | |   (15)   ~ (all_1409_0 = 0) & b48_buttercup10305(all_1409_1) = all_1409_0 &
% 79.02/11.74  | |         k04_buttercup10303(all_1409_1) = 0 & $i(all_1409_1)
% 79.02/11.74  | | 
% 79.02/11.74  | | ALPHA: (15) implies:
% 79.02/11.74  | |   (16)   ~ (all_1409_0 = 0)
% 79.02/11.74  | |   (17)  $i(all_1409_1)
% 79.02/11.74  | |   (18)  k04_buttercup10303(all_1409_1) = 0
% 79.02/11.74  | |   (19)  b48_buttercup10305(all_1409_1) = all_1409_0
% 79.02/11.74  | | 
% 79.02/11.74  | | GROUND_INST: instantiating (14) with all_1409_1, all_1409_0, simplifying
% 79.02/11.74  | |              with (17), (19) gives:
% 79.05/11.74  | |   (20)  all_1409_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 79.05/11.74  | |           k04_buttercup10303(all_1409_1) = v0)
% 79.05/11.74  | | 
% 79.05/11.74  | | BETA: splitting (20) gives:
% 79.05/11.74  | | 
% 79.05/11.74  | | Case 1:
% 79.05/11.74  | | | 
% 79.05/11.74  | | |   (21)  all_1409_0 = 0
% 79.05/11.74  | | | 
% 79.05/11.74  | | | REDUCE: (16), (21) imply:
% 79.05/11.74  | | |   (22)  $false
% 79.05/11.74  | | | 
% 79.05/11.74  | | | CLOSE: (22) is inconsistent.
% 79.05/11.74  | | | 
% 79.05/11.74  | | Case 2:
% 79.05/11.74  | | | 
% 79.05/11.74  | | |   (23)   ? [v0: int] : ( ~ (v0 = 0) & k04_buttercup10303(all_1409_1) = v0)
% 79.05/11.74  | | | 
% 79.05/11.74  | | | DELTA: instantiating (23) with fresh symbol all_1515_0 gives:
% 79.05/11.74  | | |   (24)   ~ (all_1515_0 = 0) & k04_buttercup10303(all_1409_1) = all_1515_0
% 79.05/11.74  | | | 
% 79.05/11.74  | | | ALPHA: (24) implies:
% 79.05/11.74  | | |   (25)   ~ (all_1515_0 = 0)
% 79.05/11.74  | | |   (26)  k04_buttercup10303(all_1409_1) = all_1515_0
% 79.05/11.74  | | | 
% 79.05/11.74  | | | GROUND_INST: instantiating (4) with 0, all_1515_0, all_1409_1, simplifying
% 79.05/11.74  | | |              with (18), (26) gives:
% 79.05/11.74  | | |   (27)  all_1515_0 = 0
% 79.05/11.74  | | | 
% 79.05/11.74  | | | REDUCE: (25), (27) imply:
% 79.05/11.74  | | |   (28)  $false
% 79.05/11.74  | | | 
% 79.05/11.74  | | | CLOSE: (28) is inconsistent.
% 79.05/11.74  | | | 
% 79.05/11.74  | | End of split
% 79.05/11.74  | | 
% 79.05/11.74  | End of split
% 79.05/11.74  | 
% 79.05/11.74  End of proof
% 79.05/11.74  % SZS output end Proof for theBenchmark
% 79.05/11.74  
% 79.05/11.74  11091ms
%------------------------------------------------------------------------------