TSTP Solution File: KRS156+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : KRS156+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:51:28 EDT 2023

% Result   : Theorem 17.25s 3.00s
% Output   : Proof 23.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS156+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 01:01:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.59  ________       _____
% 0.19/0.59  ___  __ \_________(_)________________________________
% 0.19/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59  
% 0.19/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59  (2023-06-19)
% 0.19/0.59  
% 0.19/0.59  (c) Philipp Rümmer, 2009-2023
% 0.19/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59                Amanda Stjerna.
% 0.19/0.59  Free software under BSD-3-Clause.
% 0.19/0.59  
% 0.19/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59  
% 0.19/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60  Running up to 7 provers in parallel.
% 0.19/0.61  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.61  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.61  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.61  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.61  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.61  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.61  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.02/1.28  Prover 4: Preprocessing ...
% 4.02/1.29  Prover 1: Preprocessing ...
% 4.02/1.33  Prover 2: Preprocessing ...
% 4.02/1.33  Prover 0: Preprocessing ...
% 4.02/1.33  Prover 5: Preprocessing ...
% 4.02/1.33  Prover 6: Preprocessing ...
% 4.02/1.35  Prover 3: Preprocessing ...
% 10.84/2.21  Prover 5: Proving ...
% 11.51/2.23  Prover 2: Proving ...
% 14.51/2.66  Prover 1: Constructing countermodel ...
% 15.88/2.81  Prover 3: Constructing countermodel ...
% 15.88/2.84  Prover 6: Proving ...
% 16.38/2.96  Prover 4: Constructing countermodel ...
% 17.25/3.00  Prover 5: proved (2386ms)
% 17.25/3.00  
% 17.25/3.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.25/3.00  
% 17.25/3.01  Prover 3: stopped
% 17.25/3.01  Prover 6: stopped
% 17.49/3.03  Prover 2: stopped
% 17.57/3.03  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.57/3.03  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 17.57/3.03  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.57/3.04  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 18.66/3.19  Prover 7: Preprocessing ...
% 18.66/3.23  Prover 11: Preprocessing ...
% 18.66/3.23  Prover 8: Preprocessing ...
% 18.66/3.24  Prover 0: Proving ...
% 18.66/3.24  Prover 0: stopped
% 18.66/3.25  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.66/3.26  Prover 10: Preprocessing ...
% 19.71/3.37  Prover 13: Preprocessing ...
% 21.28/3.54  Prover 10: Warning: ignoring some quantifiers
% 21.28/3.54  Prover 1: Found proof (size 85)
% 21.28/3.54  Prover 1: proved (2935ms)
% 21.28/3.54  Prover 4: stopped
% 21.28/3.56  Prover 10: Constructing countermodel ...
% 21.28/3.57  Prover 7: Warning: ignoring some quantifiers
% 21.28/3.59  Prover 7: Constructing countermodel ...
% 21.79/3.59  Prover 11: stopped
% 21.79/3.60  Prover 10: stopped
% 21.79/3.63  Prover 7: stopped
% 21.79/3.64  Prover 13: Warning: ignoring some quantifiers
% 21.79/3.66  Prover 13: Constructing countermodel ...
% 22.43/3.71  Prover 13: stopped
% 22.90/3.83  Prover 8: Warning: ignoring some quantifiers
% 22.90/3.85  Prover 8: Constructing countermodel ...
% 22.90/3.85  Prover 8: stopped
% 22.90/3.85  
% 22.90/3.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.90/3.85  
% 22.90/3.87  % SZS output start Proof for theBenchmark
% 22.90/3.88  Assumptions after simplification:
% 22.90/3.88  ---------------------------------
% 22.90/3.88  
% 22.90/3.88    (axiom_0)
% 22.90/3.90     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cowlThing(v0) = v1) |  ~ $i(v0)) & 
% 22.90/3.90    ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) |  ~ $i(v0))
% 22.90/3.90  
% 22.90/3.90    (axiom_1)
% 22.90/3.91     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (xsd_string(v0) = v1) |  ~ $i(v0) |
% 22.90/3.91      xsd_integer(v0) = 0) &  ! [v0: $i] : ( ~ (xsd_string(v0) = 0) |  ~ $i(v0) | 
% 22.90/3.91      ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 22.90/3.91  
% 22.90/3.91    (axiom_127)
% 22.90/3.91     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cTEST(v0) = v1) |  ~ $i(v0) |  ?
% 22.90/3.91      [v2: any] :  ? [v3: any] : (cC140(v0) = v2 & cC116(v0) = v3 & ( ~ (v3 = 0) |
% 22.90/3.91           ~ (v2 = 0)))) &  ! [v0: $i] : ( ~ (cTEST(v0) = 0) |  ~ $i(v0) |
% 22.90/3.91      (cC140(v0) = 0 & cC116(v0) = 0))
% 22.90/3.91  
% 22.90/3.91    (axiom_128)
% 22.90/3.91    cTOP(iV5475) = 0 & $i(iV5475)
% 22.90/3.91  
% 22.90/3.91    (axiom_129)
% 22.90/3.91    cowlThing(iV5475) = 0 & $i(iV5475)
% 22.90/3.91  
% 22.90/3.91    (axiom_131)
% 22.90/3.91    cTEST(iV5475) = 0 & $i(iV5475)
% 22.90/3.91  
% 22.90/3.91    (axiom_25)
% 22.90/3.91     ! [v0: $i] :  ! [v1: any] : ( ~ (cTOP(v0) = v1) |  ~ $i(v0) |  ? [v2: any] : 
% 22.90/3.91      ? [v3: any] : (cC116(v0) = v2 & cC114xcomp(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0
% 22.90/3.91            & v1 = 0)))) &  ! [v0: $i] : ( ~ (cTOP(v0) = 0) |  ~ $i(v0) |  ? [v1:
% 22.90/3.91        any] :  ? [v2: any] : (cC116(v0) = v2 & cC114xcomp(v0) = v1 & ( ~ (v1 = 0)
% 22.90/3.91          | v2 = 0)))
% 22.90/3.91  
% 22.90/3.91    (axiom_49)
% 22.90/3.91     ! [v0: $i] :  ! [v1: any] : ( ~ (cTOP(v0) = v1) |  ~ $i(v0) |  ? [v2: any] : 
% 22.90/3.91      ? [v3: any] : (cC140(v0) = v2 & cC138(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1
% 22.90/3.91            = 0)))) &  ! [v0: $i] : ( ~ (cTOP(v0) = 0) |  ~ $i(v0) |  ? [v1: any]
% 22.90/3.91      :  ? [v2: any] : (cC140(v0) = v2 & cC138(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 22.90/3.91  
% 22.90/3.91    (the_axiom)
% 22.90/3.92    $i(iV5475) &  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 22.90/3.92    (cC140(iV5475) = v1 & cC138(iV5475) = v3 & cC116(iV5475) = v0 &
% 22.90/3.92      cowlThing(iV5475) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 22.90/3.92          0) |  ? [v4: $i] :  ? [v5: any] :  ? [v6: any] : (xsd_string(v4) = v5 &
% 22.90/3.92          xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) &  ~
% 22.90/3.92              (v5 = 0)))) |  ? [v4: $i] :  ? [v5: any] :  ? [v6: any] :
% 22.90/3.92        (cowlNothing(v4) = v6 & cowlThing(v4) = v5 & $i(v4) & ( ~ (v5 = 0) | v6 =
% 22.90/3.92            0))))
% 22.90/3.92  
% 22.90/3.92    (function-axioms)
% 23.37/3.96     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 23.37/3.96    [v3: $i] : (v1 = v0 |  ~ (ra_Px29(v3, v2) = v1) |  ~ (ra_Px29(v3, v2) = v0)) &
% 23.37/3.96     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 23.37/3.96    [v3: $i] : (v1 = v0 |  ~ (ra_Px24(v3, v2) = v1) |  ~ (ra_Px24(v3, v2) = v0)) &
% 23.37/3.96     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 23.37/3.96    [v3: $i] : (v1 = v0 |  ~ (ra_Px2(v3, v2) = v1) |  ~ (ra_Px2(v3, v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px20(v3, v2) = v1) |  ~ (ra_Px20(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px19(v3, v2) = v1) |  ~ (ra_Px19(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px18(v3, v2) = v1) |  ~ (ra_Px18(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px15(v3, v2) = v1) |  ~ (ra_Px15(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px11(v3, v2) = v1) |  ~ (ra_Px11(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px46(v3, v2) = v1) |  ~ (ra_Px46(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px9(v3, v2) = v1) |  ~ (ra_Px9(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px44(v3, v2) = v1) |  ~ (ra_Px44(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px49(v3, v2) = v1) |  ~ (ra_Px49(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px10(v3, v2) = v1) |  ~ (ra_Px10(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px6(v3, v2) = v1) |  ~ (ra_Px6(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px5(v3, v2) = v1) |  ~ (ra_Px5(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px1(v3, v2) = v1) |  ~ (ra_Px1(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px41(v3, v2) = v1) |  ~ (ra_Px41(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px47(v3, v2) = v1) |  ~ (ra_Px47(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px40(v3, v2) = v1) |  ~ (ra_Px40(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px45(v3, v2) = v1) |  ~ (ra_Px45(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px36(v3, v2) = v1) |  ~ (ra_Px36(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px34(v3, v2) = v1) |  ~ (ra_Px34(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px43(v3, v2) = v1) |  ~ (ra_Px43(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px33(v3, v2) = v1) |  ~ (ra_Px33(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px32(v3, v2) = v1) |  ~ (ra_Px32(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px31(v3, v2) = v1) |  ~ (ra_Px31(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (ra_Px30(v3, v2) = v1) |  ~ (ra_Px30(v3, v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (rR1(v3, v2) = v1) |  ~ (rR1(v3, v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 23.37/3.96    : (v1 = v0 |  ~ (ra_Px50(v3, v2) = v1) |  ~ (ra_Px50(v3, v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cTEST(v2) = v1) |  ~ (cTEST(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC98(v2) = v1) |  ~
% 23.37/3.96      (cC98(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC96(v2) = v1) |  ~ (cC96(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC92(v2) = v1) |  ~ (cC92(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC90(v2) = v1) |  ~
% 23.37/3.96      (cC90(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC86(v2) = v1) |  ~ (cC86(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC82(v2) = v1) |  ~ (cC82(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC80xcomp(v2) = v1) | 
% 23.37/3.96      ~ (cC80xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC80(v2) = v1) |  ~
% 23.37/3.96      (cC80(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC8(v2) = v1) |  ~ (cC8(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC78(v2) = v1) |  ~ (cC78(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC76(v2) = v1) |  ~
% 23.37/3.96      (cC76(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC74(v2) = v1) |  ~ (cC74(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC72(v2) = v1) |  ~ (cC72(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC70(v2) = v1) |  ~
% 23.37/3.96      (cC70(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC68(v2) = v1) |  ~ (cC68(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC66(v2) = v1) |  ~ (cC66(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC64(v2) = v1) |  ~
% 23.37/3.96      (cC64(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC60xcomp(v2) = v1) |  ~ (cC60xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC60(v2) = v1) |  ~ (cC60(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC6(v2) = v1) |  ~
% 23.37/3.96      (cC6(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 23.37/3.96    ! [v2: $i] : (v1 = v0 |  ~ (cC58xcomp(v2) = v1) |  ~ (cC58xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC58(v2) = v1) |  ~ (cC58(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC56(v2) = v1) |  ~
% 23.37/3.96      (cC56(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC54xcomp(v2) = v1) |  ~ (cC54xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC54(v2) = v1) |  ~ (cC54(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC52(v2) = v1) |  ~
% 23.37/3.96      (cC52(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC50(v2) = v1) |  ~ (cC50(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC48(v2) = v1) |  ~ (cC48(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC46(v2) = v1) |  ~
% 23.37/3.96      (cC46(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC44xcomp(v2) = v1) |  ~ (cC44xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC44(v2) = v1) |  ~ (cC44(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC42(v2) = v1) |  ~
% 23.37/3.96      (cC42(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC40(v2) = v1) |  ~ (cC40(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC4(v2) = v1) |  ~ (cC4(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC38(v2) = v1) |  ~
% 23.37/3.96      (cC38(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC36xcomp(v2) = v1) |  ~ (cC36xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC36(v2) = v1) |  ~ (cC36(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC34xcomp(v2) = v1)
% 23.37/3.96      |  ~ (cC34xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC34(v2) = v1) |  ~
% 23.37/3.96      (cC34(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC32xcomp(v2) = v1) |  ~ (cC32xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC32(v2) = v1) |  ~ (cC32(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC30xcomp(v2) = v1)
% 23.37/3.96      |  ~ (cC30xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC30(v2) = v1) |  ~
% 23.37/3.96      (cC30(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC28xcomp(v2) = v1) |  ~ (cC28xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC28(v2) = v1) |  ~ (cC28(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC26xcomp(v2) = v1)
% 23.37/3.96      |  ~ (cC26xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC26(v2) = v1) |  ~
% 23.37/3.96      (cC26(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC24xcomp(v2) = v1) |  ~ (cC24xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC24(v2) = v1) |  ~ (cC24(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC22(v2) = v1) |  ~
% 23.37/3.96      (cC22(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC20xcomp(v2) = v1) |  ~ (cC20xcomp(v2) = v0)) & 
% 23.37/3.96    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.96      v0 |  ~ (cC20(v2) = v1) |  ~ (cC20(v2) = v0)) &  ! [v0: MultipleValueBool] :
% 23.37/3.96     ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC18(v2) = v1) |  ~
% 23.37/3.96      (cC18(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC16(v2) = v1) |  ~ (cC16(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC140(v2) = v1) |  ~ (cC140(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC14(v2) = v1) |  ~
% 23.37/3.96      (cC14(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC138(v2) = v1) |  ~ (cC138(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC136(v2) = v1) |  ~ (cC136(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC134(v2) = v1) |  ~
% 23.37/3.96      (cC134(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.96    :  ! [v2: $i] : (v1 = v0 |  ~ (cC132xcomp(v2) = v1) |  ~ (cC132xcomp(v2) =
% 23.37/3.96        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (cC132(v2) = v1) |  ~ (cC132(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC130xcomp(v2) = v1) |  ~ (cC130xcomp(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC130(v2) = v1) |  ~ (cC130(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC128xcomp(v2) = v1) | 
% 23.37/3.96      ~ (cC128xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC128(v2) = v1) |  ~
% 23.37/3.96      (cC128(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.96    :  ! [v2: $i] : (v1 = v0 |  ~ (cC126(v2) = v1) |  ~ (cC126(v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 23.37/3.96      |  ~ (cC2(v2) = v1) |  ~ (cC2(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC124(v2) = v1) |  ~
% 23.37/3.96      (cC124(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.96    :  ! [v2: $i] : (v1 = v0 |  ~ (cC122(v2) = v1) |  ~ (cC122(v2) = v0)) &  !
% 23.37/3.96    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 23.37/3.96      |  ~ (cC120(v2) = v1) |  ~ (cC120(v2) = v0)) &  ! [v0: MultipleValueBool] : 
% 23.37/3.96    ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC12xcomp(v2) = v1) |
% 23.37/3.96       ~ (cC12xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC12(v2) = v1) |  ~
% 23.37/3.96      (cC12(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC118xcomp(v2) = v1) |  ~ (cC118xcomp(v2) = v0))
% 23.37/3.96    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1
% 23.37/3.96      = v0 |  ~ (cC118(v2) = v1) |  ~ (cC118(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cTOP(v2) = v1) |  ~ (cTOP(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC116(v2) = v1) |  ~
% 23.37/3.96      (cC116(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.96    :  ! [v2: $i] : (v1 = v0 |  ~ (cC114xcomp(v2) = v1) |  ~ (cC114xcomp(v2) =
% 23.37/3.96        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 23.37/3.96      $i] : (v1 = v0 |  ~ (cC114(v2) = v1) |  ~ (cC114(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC112xcomp(v2) = v1) |  ~ (cC112xcomp(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC112(v2) = v1) |  ~ (cC112(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.96    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC110xcomp(v2) = v1) | 
% 23.37/3.96      ~ (cC110xcomp(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 23.37/3.96      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC62(v2) = v1) |  ~
% 23.37/3.96      (cC62(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.96     ! [v2: $i] : (v1 = v0 |  ~ (cC110(v2) = v1) |  ~ (cC110(v2) = v0)) &  ! [v0:
% 23.37/3.96      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.96      ~ (cC108xcomp(v2) = v1) |  ~ (cC108xcomp(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cC84(v2) = v1) |  ~ (cC84(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.97    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC108(v2) = v1) |  ~
% 23.37/3.97      (cC108(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.97    :  ! [v2: $i] : (v1 = v0 |  ~ (cC106xcomp(v2) = v1) |  ~ (cC106xcomp(v2) =
% 23.37/3.97        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 23.37/3.97      $i] : (v1 = v0 |  ~ (cC106(v2) = v1) |  ~ (cC106(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cC88(v2) = v1) |  ~ (cC88(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.97    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC104(v2) = v1) |  ~
% 23.37/3.97      (cC104(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.97    :  ! [v2: $i] : (v1 = v0 |  ~ (cC102xcomp(v2) = v1) |  ~ (cC102xcomp(v2) =
% 23.37/3.97        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 23.37/3.97      $i] : (v1 = v0 |  ~ (cC102(v2) = v1) |  ~ (cC102(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cC98xcomp(v2) = v1) |  ~ (cC98xcomp(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cC100(v2) = v1) |  ~ (cC100(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 23.37/3.97    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC94(v2) = v1) |  ~
% 23.37/3.97      (cC94(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :
% 23.37/3.97     ! [v2: $i] : (v1 = v0 |  ~ (cC10xcomp(v2) = v1) |  ~ (cC10xcomp(v2) = v0)) & 
% 23.37/3.97    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 =
% 23.37/3.97      v0 |  ~ (cC8xcomp(v2) = v1) |  ~ (cC8xcomp(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cC2xcomp(v2) = v1) |  ~ (cC2xcomp(v2) = v0)) &  ! [v0: MultipleValueBool]
% 23.37/3.97    :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cC10(v2) = v1) | 
% 23.37/3.97      ~ (cC10(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 23.37/3.97    :  ! [v2: $i] : (v1 = v0 |  ~ (xsd_string(v2) = v1) |  ~ (xsd_string(v2) =
% 23.37/3.97        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 23.37/3.97      $i] : (v1 = v0 |  ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0)) &  !
% 23.37/3.97    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 23.37/3.97      |  ~ (cowlNothing(v2) = v1) |  ~ (cowlNothing(v2) = v0)) &  ! [v0:
% 23.37/3.97      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 23.37/3.97      ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0))
% 23.37/3.97  
% 23.37/3.97  Further assumptions not needed in the proof:
% 23.37/3.97  --------------------------------------------
% 23.37/3.97  axiom_10, axiom_100, axiom_101, axiom_102, axiom_103, axiom_104, axiom_105,
% 23.37/3.97  axiom_106, axiom_107, axiom_108, axiom_109, axiom_11, axiom_110, axiom_111,
% 23.37/3.97  axiom_112, axiom_113, axiom_114, axiom_115, axiom_116, axiom_117, axiom_118,
% 23.37/3.97  axiom_119, axiom_12, axiom_120, axiom_121, axiom_122, axiom_123, axiom_124,
% 23.37/3.97  axiom_125, axiom_126, axiom_13, axiom_130, axiom_132, axiom_133, axiom_134,
% 23.37/3.97  axiom_135, axiom_136, axiom_137, axiom_138, axiom_139, axiom_14, axiom_140,
% 23.37/3.97  axiom_141, axiom_142, axiom_143, axiom_144, axiom_15, axiom_16, axiom_17,
% 23.37/3.97  axiom_18, axiom_19, axiom_2, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24,
% 23.37/3.97  axiom_26, axiom_27, axiom_28, axiom_29, axiom_3, axiom_30, axiom_31, axiom_32,
% 23.37/3.97  axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_4,
% 23.37/3.97  axiom_40, axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_46, axiom_47,
% 23.37/3.97  axiom_48, axiom_5, axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55,
% 23.37/3.97  axiom_56, axiom_57, axiom_58, axiom_59, axiom_6, axiom_60, axiom_61, axiom_62,
% 23.37/3.97  axiom_63, axiom_64, axiom_65, axiom_66, axiom_67, axiom_68, axiom_69, axiom_7,
% 23.37/3.97  axiom_70, axiom_71, axiom_72, axiom_73, axiom_74, axiom_75, axiom_76, axiom_77,
% 23.37/3.97  axiom_78, axiom_79, axiom_8, axiom_80, axiom_81, axiom_82, axiom_83, axiom_84,
% 23.37/3.97  axiom_85, axiom_86, axiom_87, axiom_88, axiom_89, axiom_9, axiom_90, axiom_91,
% 23.37/3.97  axiom_92, axiom_93, axiom_94, axiom_95, axiom_96, axiom_97, axiom_98, axiom_99
% 23.37/3.97  
% 23.37/3.97  Those formulas are unsatisfiable:
% 23.37/3.97  ---------------------------------
% 23.37/3.97  
% 23.37/3.97  Begin of proof
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_0) implies:
% 23.37/3.97  |   (1)   ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) |  ~ $i(v0))
% 23.37/3.97  |   (2)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cowlThing(v0) = v1) |  ~
% 23.37/3.97  |          $i(v0))
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_1) implies:
% 23.37/3.97  |   (3)   ! [v0: $i] : ( ~ (xsd_string(v0) = 0) |  ~ $i(v0) |  ? [v1: int] : ( ~
% 23.37/3.97  |            (v1 = 0) & xsd_integer(v0) = v1))
% 23.37/3.97  |   (4)   ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (xsd_string(v0) = v1) |  ~
% 23.37/3.97  |          $i(v0) | xsd_integer(v0) = 0)
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_25) implies:
% 23.37/3.97  |   (5)   ! [v0: $i] : ( ~ (cTOP(v0) = 0) |  ~ $i(v0) |  ? [v1: any] :  ? [v2:
% 23.37/3.97  |            any] : (cC116(v0) = v2 & cC114xcomp(v0) = v1 & ( ~ (v1 = 0) | v2 =
% 23.37/3.97  |              0)))
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_49) implies:
% 23.37/3.97  |   (6)   ! [v0: $i] : ( ~ (cTOP(v0) = 0) |  ~ $i(v0) |  ? [v1: any] :  ? [v2:
% 23.37/3.97  |            any] : (cC140(v0) = v2 & cC138(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 23.37/3.97  |   (7)   ! [v0: $i] :  ! [v1: any] : ( ~ (cTOP(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 23.37/3.97  |            any] :  ? [v3: any] : (cC140(v0) = v2 & cC138(v0) = v3 & ( ~ (v2 =
% 23.37/3.97  |                0) | (v3 = 0 & v1 = 0))))
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_127) implies:
% 23.37/3.97  |   (8)   ! [v0: $i] : ( ~ (cTEST(v0) = 0) |  ~ $i(v0) | (cC140(v0) = 0 &
% 23.37/3.97  |            cC116(v0) = 0))
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_128) implies:
% 23.37/3.97  |   (9)  cTOP(iV5475) = 0
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_129) implies:
% 23.37/3.97  |   (10)  cowlThing(iV5475) = 0
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (axiom_131) implies:
% 23.37/3.97  |   (11)  cTEST(iV5475) = 0
% 23.37/3.97  | 
% 23.37/3.97  | ALPHA: (the_axiom) implies:
% 23.37/3.97  |   (12)  $i(iV5475)
% 23.37/3.98  |   (13)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 23.37/3.98  |         (cC140(iV5475) = v1 & cC138(iV5475) = v3 & cC116(iV5475) = v0 &
% 23.37/3.98  |           cowlThing(iV5475) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) | 
% 23.37/3.98  |             ~ (v0 = 0) |  ? [v4: $i] :  ? [v5: any] :  ? [v6: any] :
% 23.37/3.98  |             (xsd_string(v4) = v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 &
% 23.37/3.98  |                   v5 = 0) | ( ~ (v6 = 0) &  ~ (v5 = 0)))) |  ? [v4: $i] :  ?
% 23.37/3.98  |             [v5: any] :  ? [v6: any] : (cowlNothing(v4) = v6 & cowlThing(v4) =
% 23.37/3.98  |               v5 & $i(v4) & ( ~ (v5 = 0) | v6 = 0))))
% 23.37/3.98  | 
% 23.37/3.98  | ALPHA: (function-axioms) implies:
% 23.37/3.98  |   (14)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 23.37/3.98  |         : (v1 = v0 |  ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0))
% 23.37/3.98  |   (15)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 23.37/3.98  |         : (v1 = v0 |  ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0))
% 23.37/3.98  |   (16)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 23.37/3.98  |         : (v1 = v0 |  ~ (cC116(v2) = v1) |  ~ (cC116(v2) = v0))
% 23.37/3.98  |   (17)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 23.37/3.98  |         : (v1 = v0 |  ~ (cC138(v2) = v1) |  ~ (cC138(v2) = v0))
% 23.37/3.98  |   (18)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 23.37/3.98  |         : (v1 = v0 |  ~ (cC140(v2) = v1) |  ~ (cC140(v2) = v0))
% 23.37/3.98  | 
% 23.37/3.98  | DELTA: instantiating (13) with fresh symbols all_136_0, all_136_1, all_136_2,
% 23.37/3.98  |        all_136_3 gives:
% 23.37/3.98  |   (19)  cC140(iV5475) = all_136_2 & cC138(iV5475) = all_136_0 & cC116(iV5475)
% 23.37/3.98  |         = all_136_3 & cowlThing(iV5475) = all_136_1 & ( ~ (all_136_0 = 0) |  ~
% 23.37/3.98  |           (all_136_1 = 0) |  ~ (all_136_2 = 0) |  ~ (all_136_3 = 0) |  ? [v0:
% 23.37/3.98  |             $i] :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) = v1 &
% 23.37/3.98  |             xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0)
% 23.37/3.98  |                 &  ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 23.37/3.98  |           (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) |
% 23.37/3.98  |               v2 = 0)))
% 23.37/3.98  | 
% 23.37/3.98  | ALPHA: (19) implies:
% 23.37/3.98  |   (20)  cowlThing(iV5475) = all_136_1
% 23.37/3.98  |   (21)  cC116(iV5475) = all_136_3
% 23.37/3.98  |   (22)  cC138(iV5475) = all_136_0
% 23.37/3.98  |   (23)  cC140(iV5475) = all_136_2
% 23.37/3.98  |   (24)   ~ (all_136_0 = 0) |  ~ (all_136_1 = 0) |  ~ (all_136_2 = 0) |  ~
% 23.37/3.98  |         (all_136_3 = 0) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 23.37/3.98  |         (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 =
% 23.37/3.98  |               0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any]
% 23.37/3.98  |         :  ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) &
% 23.37/3.98  |           ( ~ (v1 = 0) | v2 = 0))
% 23.37/3.98  | 
% 23.37/3.98  | GROUND_INST: instantiating (14) with 0, all_136_1, iV5475, simplifying with
% 23.37/3.98  |              (10), (20) gives:
% 23.37/3.98  |   (25)  all_136_1 = 0
% 23.37/3.98  | 
% 23.37/3.98  | GROUND_INST: instantiating (6) with iV5475, simplifying with (9), (12) gives:
% 23.37/3.98  |   (26)   ? [v0: any] :  ? [v1: any] : (cC140(iV5475) = v1 & cC138(iV5475) = v0
% 23.37/3.98  |           & ( ~ (v0 = 0) | v1 = 0))
% 23.37/3.98  | 
% 23.37/3.98  | GROUND_INST: instantiating (5) with iV5475, simplifying with (9), (12) gives:
% 23.37/3.99  |   (27)   ? [v0: any] :  ? [v1: any] : (cC116(iV5475) = v1 & cC114xcomp(iV5475)
% 23.37/3.99  |           = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (7) with iV5475, 0, simplifying with (9), (12)
% 23.37/3.99  |              gives:
% 23.37/3.99  |   (28)   ? [v0: any] :  ? [v1: any] : (cC140(iV5475) = v0 & cC138(iV5475) = v1
% 23.37/3.99  |           & ( ~ (v0 = 0) | v1 = 0))
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (8) with iV5475, simplifying with (11), (12) gives:
% 23.37/3.99  |   (29)  cC140(iV5475) = 0 & cC116(iV5475) = 0
% 23.37/3.99  | 
% 23.37/3.99  | ALPHA: (29) implies:
% 23.37/3.99  |   (30)  cC116(iV5475) = 0
% 23.37/3.99  |   (31)  cC140(iV5475) = 0
% 23.37/3.99  | 
% 23.37/3.99  | DELTA: instantiating (28) with fresh symbols all_157_0, all_157_1 gives:
% 23.37/3.99  |   (32)  cC140(iV5475) = all_157_1 & cC138(iV5475) = all_157_0 & ( ~ (all_157_1
% 23.37/3.99  |             = 0) | all_157_0 = 0)
% 23.37/3.99  | 
% 23.37/3.99  | ALPHA: (32) implies:
% 23.37/3.99  |   (33)  cC138(iV5475) = all_157_0
% 23.37/3.99  |   (34)  cC140(iV5475) = all_157_1
% 23.37/3.99  |   (35)   ~ (all_157_1 = 0) | all_157_0 = 0
% 23.37/3.99  | 
% 23.37/3.99  | DELTA: instantiating (27) with fresh symbols all_159_0, all_159_1 gives:
% 23.37/3.99  |   (36)  cC116(iV5475) = all_159_0 & cC114xcomp(iV5475) = all_159_1 & ( ~
% 23.37/3.99  |           (all_159_1 = 0) | all_159_0 = 0)
% 23.37/3.99  | 
% 23.37/3.99  | ALPHA: (36) implies:
% 23.37/3.99  |   (37)  cC116(iV5475) = all_159_0
% 23.37/3.99  | 
% 23.37/3.99  | DELTA: instantiating (26) with fresh symbols all_161_0, all_161_1 gives:
% 23.37/3.99  |   (38)  cC140(iV5475) = all_161_0 & cC138(iV5475) = all_161_1 & ( ~ (all_161_1
% 23.37/3.99  |             = 0) | all_161_0 = 0)
% 23.37/3.99  | 
% 23.37/3.99  | ALPHA: (38) implies:
% 23.37/3.99  |   (39)  cC138(iV5475) = all_161_1
% 23.37/3.99  |   (40)  cC140(iV5475) = all_161_0
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (16) with all_136_3, all_159_0, iV5475, simplifying
% 23.37/3.99  |              with (21), (37) gives:
% 23.37/3.99  |   (41)  all_159_0 = all_136_3
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (16) with 0, all_159_0, iV5475, simplifying with
% 23.37/3.99  |              (30), (37) gives:
% 23.37/3.99  |   (42)  all_159_0 = 0
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (17) with all_136_0, all_161_1, iV5475, simplifying
% 23.37/3.99  |              with (22), (39) gives:
% 23.37/3.99  |   (43)  all_161_1 = all_136_0
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (17) with all_157_0, all_161_1, iV5475, simplifying
% 23.37/3.99  |              with (33), (39) gives:
% 23.37/3.99  |   (44)  all_161_1 = all_157_0
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (18) with all_136_2, all_157_1, iV5475, simplifying
% 23.37/3.99  |              with (23), (34) gives:
% 23.37/3.99  |   (45)  all_157_1 = all_136_2
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (18) with all_157_1, all_161_0, iV5475, simplifying
% 23.37/3.99  |              with (34), (40) gives:
% 23.37/3.99  |   (46)  all_161_0 = all_157_1
% 23.37/3.99  | 
% 23.37/3.99  | GROUND_INST: instantiating (18) with 0, all_161_0, iV5475, simplifying with
% 23.37/3.99  |              (31), (40) gives:
% 23.37/3.99  |   (47)  all_161_0 = 0
% 23.37/3.99  | 
% 23.37/3.99  | COMBINE_EQS: (46), (47) imply:
% 23.37/3.99  |   (48)  all_157_1 = 0
% 23.37/3.99  | 
% 23.37/3.99  | SIMP: (48) implies:
% 23.37/3.99  |   (49)  all_157_1 = 0
% 23.37/3.99  | 
% 23.37/3.99  | COMBINE_EQS: (43), (44) imply:
% 23.37/3.99  |   (50)  all_157_0 = all_136_0
% 23.37/3.99  | 
% 23.37/3.99  | COMBINE_EQS: (41), (42) imply:
% 23.37/3.99  |   (51)  all_136_3 = 0
% 23.37/3.99  | 
% 23.37/3.99  | SIMP: (51) implies:
% 23.37/3.99  |   (52)  all_136_3 = 0
% 23.37/3.99  | 
% 23.37/3.99  | COMBINE_EQS: (45), (49) imply:
% 23.37/3.99  |   (53)  all_136_2 = 0
% 23.37/3.99  | 
% 23.37/3.99  | SIMP: (53) implies:
% 23.37/3.99  |   (54)  all_136_2 = 0
% 23.37/3.99  | 
% 23.37/3.99  | BETA: splitting (35) gives:
% 23.37/3.99  | 
% 23.37/3.99  | Case 1:
% 23.37/3.99  | | 
% 23.37/3.99  | |   (55)   ~ (all_157_1 = 0)
% 23.37/3.99  | | 
% 23.37/3.99  | | REDUCE: (49), (55) imply:
% 23.37/3.99  | |   (56)  $false
% 23.37/3.99  | | 
% 23.37/3.99  | | CLOSE: (56) is inconsistent.
% 23.37/3.99  | | 
% 23.37/3.99  | Case 2:
% 23.37/3.99  | | 
% 23.37/3.99  | |   (57)  all_157_0 = 0
% 23.37/3.99  | | 
% 23.37/3.99  | | COMBINE_EQS: (50), (57) imply:
% 23.37/3.99  | |   (58)  all_136_0 = 0
% 23.37/3.99  | | 
% 23.37/3.99  | | SIMP: (58) implies:
% 23.37/3.99  | |   (59)  all_136_0 = 0
% 23.37/3.99  | | 
% 23.37/3.99  | | BETA: splitting (24) gives:
% 23.37/3.99  | | 
% 23.37/3.99  | | Case 1:
% 23.37/3.99  | | | 
% 23.37/4.00  | | |   (60)   ~ (all_136_0 = 0)
% 23.37/4.00  | | | 
% 23.37/4.00  | | | REDUCE: (59), (60) imply:
% 23.37/4.00  | | |   (61)  $false
% 23.37/4.00  | | | 
% 23.37/4.00  | | | CLOSE: (61) is inconsistent.
% 23.37/4.00  | | | 
% 23.37/4.00  | | Case 2:
% 23.37/4.00  | | | 
% 23.37/4.00  | | |   (62)   ~ (all_136_1 = 0) |  ~ (all_136_2 = 0) |  ~ (all_136_3 = 0) |  ?
% 23.37/4.00  | | |         [v0: $i] :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0) = v1 &
% 23.37/4.00  | | |           xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.37/4.00  | | |                 0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1: any] :  ? [v2:
% 23.37/4.00  | | |           any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~
% 23.37/4.00  | | |             (v1 = 0) | v2 = 0))
% 23.37/4.00  | | | 
% 23.37/4.00  | | | BETA: splitting (62) gives:
% 23.37/4.00  | | | 
% 23.37/4.00  | | | Case 1:
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | |   (63)   ~ (all_136_1 = 0)
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | | REDUCE: (25), (63) imply:
% 23.37/4.00  | | | |   (64)  $false
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | | CLOSE: (64) is inconsistent.
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | Case 2:
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | |   (65)   ~ (all_136_2 = 0) |  ~ (all_136_3 = 0) |  ? [v0: $i] :  ? [v1:
% 23.37/4.00  | | | |           any] :  ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) =
% 23.37/4.00  | | | |           v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 =
% 23.37/4.00  | | | |                 0)))) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 23.37/4.00  | | | |         (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 =
% 23.37/4.00  | | | |               0) | v2 = 0))
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | | BETA: splitting (65) gives:
% 23.37/4.00  | | | | 
% 23.37/4.00  | | | | Case 1:
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | |   (66)   ~ (all_136_2 = 0)
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | | REDUCE: (54), (66) imply:
% 23.37/4.00  | | | | |   (67)  $false
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | | CLOSE: (67) is inconsistent.
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | Case 2:
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | |   (68)   ~ (all_136_3 = 0) |  ? [v0: $i] :  ? [v1: any] :  ? [v2: any]
% 23.37/4.00  | | | | |         : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2
% 23.37/4.00  | | | | |               = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ? [v0:
% 23.37/4.00  | | | | |           $i] :  ? [v1: any] :  ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.37/4.00  | | | | |           cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | | BETA: splitting (68) gives:
% 23.37/4.00  | | | | | 
% 23.37/4.00  | | | | | Case 1:
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | |   (69)   ~ (all_136_3 = 0)
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | | REDUCE: (52), (69) imply:
% 23.37/4.00  | | | | | |   (70)  $false
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | | CLOSE: (70) is inconsistent.
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | Case 2:
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | |   (71)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] : (xsd_string(v0)
% 23.37/4.00  | | | | | |           = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0)
% 23.37/4.00  | | | | | |             | ( ~ (v2 = 0) &  ~ (v1 = 0)))) |  ? [v0: $i] :  ? [v1:
% 23.37/4.00  | | | | | |           any] :  ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.37/4.00  | | | | | |           cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | | BETA: splitting (71) gives:
% 23.37/4.00  | | | | | | 
% 23.37/4.00  | | | | | | Case 1:
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | |   (72)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 23.37/4.00  | | | | | | |         (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) &
% 23.37/4.00  | | | | | | |           ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &  ~ (v1 = 0))))
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | | DELTA: instantiating (72) with fresh symbols all_249_0, all_249_1,
% 23.37/4.00  | | | | | | |        all_249_2 gives:
% 23.37/4.00  | | | | | | |   (73)  xsd_string(all_249_2) = all_249_1 & xsd_integer(all_249_2)
% 23.37/4.00  | | | | | | |         = all_249_0 & $i(all_249_2) & ((all_249_0 = 0 & all_249_1
% 23.37/4.00  | | | | | | |             = 0) | ( ~ (all_249_0 = 0) &  ~ (all_249_1 = 0)))
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | | ALPHA: (73) implies:
% 23.37/4.00  | | | | | | |   (74)  $i(all_249_2)
% 23.37/4.00  | | | | | | |   (75)  xsd_integer(all_249_2) = all_249_0
% 23.37/4.00  | | | | | | |   (76)  xsd_string(all_249_2) = all_249_1
% 23.37/4.00  | | | | | | |   (77)  (all_249_0 = 0 & all_249_1 = 0) | ( ~ (all_249_0 = 0) &  ~
% 23.37/4.00  | | | | | | |           (all_249_1 = 0))
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | | GROUND_INST: instantiating (4) with all_249_2, all_249_1,
% 23.37/4.00  | | | | | | |              simplifying with (74), (76) gives:
% 23.37/4.00  | | | | | | |   (78)  all_249_1 = 0 | xsd_integer(all_249_2) = 0
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | | BETA: splitting (77) gives:
% 23.37/4.00  | | | | | | | 
% 23.37/4.00  | | | | | | | Case 1:
% 23.37/4.00  | | | | | | | | 
% 23.37/4.00  | | | | | | | |   (79)  all_249_0 = 0 & all_249_1 = 0
% 23.37/4.00  | | | | | | | | 
% 23.37/4.00  | | | | | | | | ALPHA: (79) implies:
% 23.37/4.00  | | | | | | | |   (80)  all_249_1 = 0
% 23.37/4.00  | | | | | | | |   (81)  all_249_0 = 0
% 23.37/4.00  | | | | | | | | 
% 23.37/4.00  | | | | | | | | REDUCE: (76), (80) imply:
% 23.37/4.00  | | | | | | | |   (82)  xsd_string(all_249_2) = 0
% 23.37/4.00  | | | | | | | | 
% 23.37/4.00  | | | | | | | | REDUCE: (75), (81) imply:
% 23.37/4.00  | | | | | | | |   (83)  xsd_integer(all_249_2) = 0
% 23.37/4.00  | | | | | | | | 
% 23.37/4.00  | | | | | | | | GROUND_INST: instantiating (3) with all_249_2, simplifying with
% 23.37/4.00  | | | | | | | |              (74), (82) gives:
% 23.37/4.00  | | | | | | | |   (84)   ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_249_2) =
% 23.37/4.00  | | | | | | | |           v0)
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | DELTA: instantiating (84) with fresh symbol all_263_0 gives:
% 23.37/4.01  | | | | | | | |   (85)   ~ (all_263_0 = 0) & xsd_integer(all_249_2) = all_263_0
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | ALPHA: (85) implies:
% 23.37/4.01  | | | | | | | |   (86)   ~ (all_263_0 = 0)
% 23.37/4.01  | | | | | | | |   (87)  xsd_integer(all_249_2) = all_263_0
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | GROUND_INST: instantiating (15) with 0, all_263_0, all_249_2,
% 23.37/4.01  | | | | | | | |              simplifying with (83), (87) gives:
% 23.37/4.01  | | | | | | | |   (88)  all_263_0 = 0
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | REDUCE: (86), (88) imply:
% 23.37/4.01  | | | | | | | |   (89)  $false
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | CLOSE: (89) is inconsistent.
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | Case 2:
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | |   (90)   ~ (all_249_0 = 0) &  ~ (all_249_1 = 0)
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | ALPHA: (90) implies:
% 23.37/4.01  | | | | | | | |   (91)   ~ (all_249_1 = 0)
% 23.37/4.01  | | | | | | | |   (92)   ~ (all_249_0 = 0)
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | BETA: splitting (78) gives:
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | Case 1:
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | |   (93)  xsd_integer(all_249_2) = 0
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | | GROUND_INST: instantiating (15) with all_249_0, 0, all_249_2,
% 23.37/4.01  | | | | | | | | |              simplifying with (75), (93) gives:
% 23.37/4.01  | | | | | | | | |   (94)  all_249_0 = 0
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | | REDUCE: (92), (94) imply:
% 23.37/4.01  | | | | | | | | |   (95)  $false
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | | CLOSE: (95) is inconsistent.
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | Case 2:
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | |   (96)  all_249_1 = 0
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | | REDUCE: (91), (96) imply:
% 23.37/4.01  | | | | | | | | |   (97)  $false
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | | CLOSE: (97) is inconsistent.
% 23.37/4.01  | | | | | | | | | 
% 23.37/4.01  | | | | | | | | End of split
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | End of split
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | Case 2:
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | |   (98)   ? [v0: $i] :  ? [v1: any] :  ? [v2: any] :
% 23.37/4.01  | | | | | | |         (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~
% 23.37/4.01  | | | | | | |             (v1 = 0) | v2 = 0))
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | | DELTA: instantiating (98) with fresh symbols all_249_0, all_249_1,
% 23.37/4.01  | | | | | | |        all_249_2 gives:
% 23.37/4.01  | | | | | | |   (99)  cowlNothing(all_249_2) = all_249_0 & cowlThing(all_249_2)
% 23.37/4.01  | | | | | | |         = all_249_1 & $i(all_249_2) & ( ~ (all_249_1 = 0) |
% 23.37/4.01  | | | | | | |           all_249_0 = 0)
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | | ALPHA: (99) implies:
% 23.37/4.01  | | | | | | |   (100)  $i(all_249_2)
% 23.37/4.01  | | | | | | |   (101)  cowlThing(all_249_2) = all_249_1
% 23.37/4.01  | | | | | | |   (102)  cowlNothing(all_249_2) = all_249_0
% 23.37/4.01  | | | | | | |   (103)   ~ (all_249_1 = 0) | all_249_0 = 0
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | | GROUND_INST: instantiating (2) with all_249_2, all_249_1,
% 23.37/4.01  | | | | | | |              simplifying with (100), (101) gives:
% 23.37/4.01  | | | | | | |   (104)  all_249_1 = 0
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | | BETA: splitting (103) gives:
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | | Case 1:
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | |   (105)   ~ (all_249_1 = 0)
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | REDUCE: (104), (105) imply:
% 23.37/4.01  | | | | | | | |   (106)  $false
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | CLOSE: (106) is inconsistent.
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | Case 2:
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | |   (107)  all_249_0 = 0
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | REDUCE: (102), (107) imply:
% 23.37/4.01  | | | | | | | |   (108)  cowlNothing(all_249_2) = 0
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | GROUND_INST: instantiating (1) with all_249_2, simplifying with
% 23.37/4.01  | | | | | | | |              (100), (108) gives:
% 23.37/4.01  | | | | | | | |   (109)  $false
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | | CLOSE: (109) is inconsistent.
% 23.37/4.01  | | | | | | | | 
% 23.37/4.01  | | | | | | | End of split
% 23.37/4.01  | | | | | | | 
% 23.37/4.01  | | | | | | End of split
% 23.37/4.01  | | | | | | 
% 23.37/4.01  | | | | | End of split
% 23.37/4.01  | | | | | 
% 23.37/4.01  | | | | End of split
% 23.37/4.01  | | | | 
% 23.37/4.01  | | | End of split
% 23.37/4.01  | | | 
% 23.37/4.01  | | End of split
% 23.37/4.01  | | 
% 23.37/4.01  | End of split
% 23.37/4.01  | 
% 23.37/4.01  End of proof
% 23.37/4.01  % SZS output end Proof for theBenchmark
% 23.37/4.01  
% 23.37/4.01  3423ms
%------------------------------------------------------------------------------