%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWC048+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n015.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 20:49:23 EDT 2023

% Result   : Theorem 48.05s 7.42s
% Output   : Proof 198.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWC048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.31  % Computer : n015.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Mon Aug 28 19:16:40 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.17/0.60  ________       _____
% 0.17/0.60  ___  __ \_________(_)________________________________
% 0.17/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.17/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.17/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.17/0.61  
% 0.17/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.17/0.61  (2023-06-19)
% 0.17/0.61  
% 0.17/0.61  (c) Philipp Rümmer, 2009-2023
% 0.17/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.17/0.61                Amanda Stjerna.
% 0.17/0.61  Free software under BSD-3-Clause.
% 0.17/0.61  
% 0.17/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.17/0.61  
% 0.17/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/0.62  Running up to 7 provers in parallel.
% 0.17/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.17/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.17/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.17/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.17/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.17/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.17/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.16/1.64  Prover 4: Preprocessing ...
% 6.28/1.69  Prover 1: Preprocessing ...
% 6.71/1.72  Prover 6: Preprocessing ...
% 6.71/1.72  Prover 0: Preprocessing ...
% 6.71/1.72  Prover 5: Preprocessing ...
% 6.71/1.72  Prover 2: Preprocessing ...
% 6.71/1.73  Prover 3: Preprocessing ...
% 20.01/3.57  Prover 2: Proving ...
% 21.04/3.72  Prover 5: Constructing countermodel ...
% 21.04/3.86  Prover 1: Constructing countermodel ...
% 23.13/4.04  Prover 6: Proving ...
% 23.57/4.07  Prover 3: Constructing countermodel ...
% 32.50/5.26  Prover 4: Constructing countermodel ...
% 32.77/5.32  Prover 0: Proving ...
% 48.05/7.42  Prover 3: proved (6784ms)
% 48.05/7.42  
% 48.05/7.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.05/7.42  
% 48.83/7.44  Prover 5: stopped
% 48.83/7.44  Prover 6: stopped
% 48.83/7.45  Prover 2: stopped
% 48.83/7.47  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 48.83/7.47  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 48.83/7.47  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 48.83/7.47  Prover 0: stopped
% 48.83/7.47  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 48.83/7.47  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 50.44/7.72  Prover 8: Preprocessing ...
% 51.22/7.74  Prover 7: Preprocessing ...
% 51.22/7.75  Prover 13: Preprocessing ...
% 51.69/7.84  Prover 10: Preprocessing ...
% 51.69/7.87  Prover 11: Preprocessing ...
% 53.50/8.08  Prover 7: Constructing countermodel ...
% 55.02/8.30  Prover 10: Constructing countermodel ...
% 56.53/8.45  Prover 13: Constructing countermodel ...
% 56.64/8.74  Prover 8: Warning: ignoring some quantifiers
% 56.64/8.76  Prover 8: Constructing countermodel ...
% 66.44/9.82  Prover 11: Constructing countermodel ...
% 81.42/12.02  Prover 13: stopped
% 81.42/12.03  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 84.51/12.17  Prover 16: Preprocessing ...
% 87.13/12.48  Prover 16: Constructing countermodel ...
% 113.74/15.97  Prover 1: stopped
% 113.74/15.99  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 114.32/16.21  Prover 19: Preprocessing ...
% 119.53/16.82  Prover 19: Warning: ignoring some quantifiers
% 120.29/16.87  Prover 19: Constructing countermodel ...
% 123.90/17.33  Prover 16: stopped
% 140.61/19.60  Prover 19: stopped
% 196.62/27.97  Prover 4: stopped
% 197.47/28.16  Prover 8: Found proof (size 373)
% 197.47/28.16  Prover 8: proved (20457ms)
% 197.47/28.16  Prover 10: stopped
% 197.47/28.16  Prover 7: stopped
% 197.47/28.17  Prover 11: stopped
% 197.47/28.17  
% 197.47/28.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 197.47/28.17  
% 197.47/28.18  % SZS output start Proof for theBenchmark
% 197.47/28.19  Assumptions after simplification:
% 197.47/28.19  ---------------------------------
% 197.47/28.19  
% 197.47/28.19    (ax13)
% 197.47/28.22     ! [v0: $i] :  ! [v1: any] : ( ~ (duplicatefreeP(v0) = v1) |  ~ $i(v0) |  ?
% 197.47/28.22      [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) |  ! [v2: $i] :
% 197.47/28.22          ( ~ (ssItem(v2) = 0) |  ~ $i(v2) |  ! [v3: $i] : ( ~ (ssItem(v3) = 0) | 
% 197.47/28.22              ~ $i(v3) |  ! [v4: $i] : ( ~ (ssList(v4) = 0) |  ~ $i(v4) |  ! [v5:
% 197.47/28.22                  $i] :  ! [v6: $i] :  ! [v7: $i] : ( ~ (cons(v2, v5) = v6) |  ~
% 197.47/28.22                  (app(v4, v6) = v7) |  ~ $i(v5) |  ? [v8: int] : ( ~ (v8 = 0) &
% 197.47/28.22                    ssList(v5) = v8) |  ! [v8: $i] :  ! [v9: $i] : ( ~ (v3 = v2) |
% 197.47/28.22                     ~ (cons(v2, v8) = v9) |  ~ (app(v7, v9) = v0) |  ~ $i(v8) | 
% 197.47/28.22                    ? [v10: int] : ( ~ (v10 = 0) & ssList(v8) = v10))))))) & (v1 =
% 197.47/28.22          0 |  ? [v2: $i] : (ssItem(v2) = 0 & $i(v2) &  ? [v3: $i] : (ssItem(v3) =
% 197.47/28.22              0 & $i(v3) &  ? [v4: $i] : (ssList(v4) = 0 & $i(v4) &  ? [v5: $i] : 
% 197.47/28.22                ? [v6: $i] :  ? [v7: $i] : (ssList(v5) = 0 & cons(v2, v5) = v6 &
% 197.47/28.22                  app(v4, v6) = v7 & $i(v7) & $i(v6) & $i(v5) &  ? [v8: $i] :  ?
% 197.47/28.22                  [v9: $i] : (v3 = v2 & ssList(v8) = 0 & cons(v2, v8) = v9 &
% 197.47/28.22                    app(v7, v9) = v0 & $i(v9) & $i(v8)))))))))
% 197.47/28.22  
% 197.47/28.22    (ax15)
% 197.47/28.23     ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] :  ! [v2: any] :
% 197.47/28.23      ( ~ (neq(v0, v1) = v2) |  ~ $i(v1) |  ? [v3: int] : ( ~ (v3 = 0) &
% 197.47/28.23          ssList(v1) = v3) | (( ~ (v2 = 0) |  ~ (v1 = v0)) & (v2 = 0 | v1 = v0))))
% 197.47/28.23  
% 197.47/28.23    (ax17)
% 197.47/28.23    ssList(nil) = 0 & $i(nil)
% 197.47/28.23  
% 197.47/28.23    (ax20)
% 197.47/28.23    $i(nil) &  ! [v0: $i] : (v0 = nil |  ~ (ssList(v0) = 0) |  ~ $i(v0) |  ? [v1:
% 197.47/28.23        $i] : (ssList(v1) = 0 & $i(v1) &  ? [v2: $i] : (cons(v2, v1) = v0 &
% 197.47/28.23          ssItem(v2) = 0 & $i(v2))))
% 197.47/28.23  
% 197.47/28.23    (ax48)
% 197.47/28.23     ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] : (v1 = v0 |  ~
% 197.47/28.23        (rearsegP(v0, v1) = 0) |  ~ $i(v1) |  ? [v2: any] :  ? [v3: any] :
% 197.47/28.23        (rearsegP(v1, v0) = v3 & ssList(v1) = v2 & ( ~ (v3 = 0) |  ~ (v2 = 0)))))
% 197.47/28.23  
% 197.47/28.23    (ax49)
% 197.47/28.23     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (rearsegP(v0, v0) = v1) |  ~ $i(v0)
% 197.47/28.23      |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 197.47/28.23  
% 197.47/28.23    (ax6)
% 197.47/28.24     ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] :  ! [v2: any] :
% 197.47/28.24      ( ~ (rearsegP(v0, v1) = v2) |  ~ $i(v1) |  ? [v3: int] : ( ~ (v3 = 0) &
% 197.47/28.24          ssList(v1) = v3) | (( ~ (v2 = 0) |  ? [v3: $i] : (ssList(v3) = 0 &
% 197.47/28.24              app(v3, v1) = v0 & $i(v3))) & (v2 = 0 |  ! [v3: $i] : ( ~ (app(v3,
% 197.47/28.24                  v1) = v0) |  ~ $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & ssList(v3)
% 197.47/28.24                = v4))))))
% 197.47/28.24  
% 197.47/28.24    (ax72)
% 197.47/28.24    duplicatefreeP(nil) = 0 & $i(nil)
% 197.47/28.24  
% 197.47/28.24    (ax75)
% 197.47/28.24    $i(nil) &  ! [v0: $i] :  ! [v1: $i] : (v0 = nil |  ~ (hd(v0) = v1) |  ~ $i(v0)
% 197.47/28.24      |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (ssItem(v1) = 0 &
% 197.47/28.24        $i(v1)))
% 197.47/28.24  
% 197.47/28.24    (ax83)
% 197.47/28.24    $i(nil) &  ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] :  !
% 197.47/28.24      [v2: $i] : ( ~ (app(v0, v1) = v2) |  ~ $i(v1) |  ? [v3: int] : ( ~ (v3 = 0)
% 197.47/28.24          & ssList(v1) = v3) | (( ~ (v2 = nil) | (v1 = nil & v0 = nil)) & ( ~ (v1
% 197.47/28.24              = nil) |  ~ (v0 = nil) | v2 = nil))))
% 197.47/28.24  
% 197.87/28.24    (ax85)
% 197.87/28.24    $i(nil) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (hd(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 197.87/28.24        int] : ( ~ (v2 = 0) & ssList(v0) = v2) |  ! [v2: $i] :  ! [v3: $i] : (v0 =
% 197.87/28.24        nil |  ~ (app(v0, v2) = v3) |  ~ $i(v2) |  ? [v4: any] :  ? [v5: $i] :
% 197.87/28.24        (hd(v3) = v5 & ssList(v2) = v4 & $i(v5) & ( ~ (v4 = 0) | v5 = v1))))
% 197.87/28.24  
% 197.87/28.24    (co1)
% 197.87/28.24    $i(nil) &  ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1: $i] :  ? [v2: any]
% 197.87/28.24      : (ssList(v1) = 0 & neq(v1, nil) = v2 & $i(v1) &  ? [v3: $i] :  ? [v4: any]
% 197.87/28.24        : (ssList(v3) = 0 & neq(v3, nil) = v4 & $i(v3) &  ? [v5: any] : (v3 = v0 &
% 197.87/28.24            rearsegP(v1, v0) = v5 & ((v5 = 0 & v4 = 0) | (v1 = nil & v0 = nil)) &
% 197.87/28.24            ((v2 = 0 &  ! [v6: $i] : ( ~ (neq(v6, nil) = 0) |  ~ $i(v6) |  ? [v7:
% 197.87/28.24                    any] :  ? [v8: any] :  ? [v9: any] : (rearsegP(v1, v6) = v8 &
% 197.87/28.24                    rearsegP(v0, v6) = v9 & ssList(v6) = v7 & ( ~ (v9 = 0) |  ~
% 197.87/28.24                      (v8 = 0) |  ~ (v7 = 0))))) | (v1 = nil &  ~ (v0 = nil)))))))
% 197.87/28.24  
% 197.87/28.24    (function-axioms)
% 197.87/28.26     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 197.87/28.26    [v3: $i] : (v1 = v0 |  ~ (gt(v3, v2) = v1) |  ~ (gt(v3, v2) = v0)) &  ! [v0:
% 197.87/28.26      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 197.87/28.26    : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0)) &  ! [v0:
% 197.87/28.26      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 197.87/28.26    : (v1 = v0 |  ~ (lt(v3, v2) = v1) |  ~ (lt(v3, v2) = v0)) &  ! [v0:
% 197.87/28.26      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 197.87/28.26    : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0)) &  ! [v0:
% 197.87/28.26      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 197.87/28.26    : (v1 = v0 |  ~ (segmentP(v3, v2) = v1) |  ~ (segmentP(v3, v2) = v0)) &  !
% 197.87/28.26    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 197.87/28.26      $i] : (v1 = v0 |  ~ (rearsegP(v3, v2) = v1) |  ~ (rearsegP(v3, v2) = v0)) & 
% 197.87/28.26    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 197.87/28.26      $i] : (v1 = v0 |  ~ (frontsegP(v3, v2) = v1) |  ~ (frontsegP(v3, v2) = v0))
% 197.87/28.26    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 197.87/28.26    [v3: $i] : (v1 = v0 |  ~ (memberP(v3, v2) = v1) |  ~ (memberP(v3, v2) = v0)) &
% 197.87/28.26     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 197.87/28.26      (cons(v3, v2) = v1) |  ~ (cons(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] : 
% 197.87/28.26    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (app(v3, v2) = v1) |  ~ (app(v3, v2)
% 197.87/28.26        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 197.87/28.26      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (neq(v3, v2) = v1) |  ~ (neq(v3, v2) =
% 197.87/28.26        v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (tl(v2) =
% 197.87/28.26        v1) |  ~ (tl(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 =
% 197.87/28.26      v0 |  ~ (hd(v2) = v1) |  ~ (hd(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 197.87/28.26    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (equalelemsP(v2) = v1) |
% 197.87/28.26       ~ (equalelemsP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (duplicatefreeP(v2) = v1) |
% 197.87/28.26       ~ (duplicatefreeP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (strictorderedP(v2) = v1) |
% 197.87/28.26       ~ (strictorderedP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (totalorderedP(v2) = v1) | 
% 197.87/28.26      ~ (totalorderedP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (strictorderP(v2) = v1) | 
% 197.87/28.26      ~ (strictorderP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (totalorderP(v2) = v1) |  ~
% 197.87/28.26      (totalorderP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cyclefreeP(v2) = v1) |  ~
% 197.87/28.26      (cyclefreeP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (singletonP(v2) = v1) |  ~
% 197.87/28.26      (singletonP(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 197.87/28.26      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (ssList(v2) = v1) |  ~
% 197.87/28.26      (ssList(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 197.87/28.26    :  ! [v2: $i] : (v1 = v0 |  ~ (ssItem(v2) = v1) |  ~ (ssItem(v2) = v0)) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (gt(v1, v0) = v2) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (geq(v1, v0) = v2) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (lt(v1, v0) = v2) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (leq(v1, v0) = v2) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (segmentP(v1, v0) = v2)
% 197.87/28.26    &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] : (rearsegP(v1, v0) =
% 197.87/28.26      v2) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: MultipleValueBool] :
% 197.87/28.26    (frontsegP(v1, v0) = v2) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2:
% 197.87/28.26      MultipleValueBool] : (memberP(v1, v0) = v2) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 197.87/28.26    [v2: MultipleValueBool] : (neq(v1, v0) = v2) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 197.87/28.26    [v2: $i] : (cons(v1, v0) = v2 & $i(v2)) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2:
% 197.87/28.26      $i] : (app(v1, v0) = v2 & $i(v2)) &  ? [v0: $i] :  ? [v1: MultipleValueBool]
% 197.87/28.26    : (equalelemsP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (duplicatefreeP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (strictorderedP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (totalorderedP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (strictorderP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (totalorderP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (cyclefreeP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] :
% 197.87/28.26    (singletonP(v0) = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] : (ssList(v0)
% 197.87/28.26      = v1) &  ? [v0: $i] :  ? [v1: MultipleValueBool] : (ssItem(v0) = v1) &  ?
% 197.87/28.26    [v0: $i] :  ? [v1: $i] : (tl(v0) = v1 & $i(v1)) &  ? [v0: $i] :  ? [v1: $i] :
% 197.87/28.26    (hd(v0) = v1 & $i(v1))
% 197.87/28.26  
% 197.87/28.26  Further assumptions not needed in the proof:
% 197.87/28.26  --------------------------------------------
% 197.87/28.26  ax1, ax10, ax11, ax12, ax14, ax16, ax18, ax19, ax2, ax21, ax22, ax23, ax24,
% 197.87/28.26  ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, ax36,
% 197.87/28.26  ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47, ax5,
% 197.87/28.26  ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax58, ax59, ax60, ax61, ax62,
% 197.87/28.26  ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70, ax71, ax73, ax74, ax76,
% 197.87/28.26  ax77, ax78, ax79, ax8, ax80, ax81, ax82, ax84, ax86, ax87, ax88, ax89, ax9,
% 197.87/28.26  ax90, ax91, ax92, ax93, ax94, ax95
% 197.87/28.26  
% 197.87/28.26  Those formulas are unsatisfiable:
% 197.87/28.26  ---------------------------------
% 197.87/28.26  
% 197.87/28.26  Begin of proof
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax17) implies:
% 197.87/28.26  |   (1)  ssList(nil) = 0
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax20) implies:
% 197.87/28.26  |   (2)   ! [v0: $i] : (v0 = nil |  ~ (ssList(v0) = 0) |  ~ $i(v0) |  ? [v1: $i]
% 197.87/28.26  |          : (ssList(v1) = 0 & $i(v1) &  ? [v2: $i] : (cons(v2, v1) = v0 &
% 197.87/28.26  |              ssItem(v2) = 0 & $i(v2))))
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax72) implies:
% 197.87/28.26  |   (3)  duplicatefreeP(nil) = 0
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax75) implies:
% 197.87/28.26  |   (4)   ! [v0: $i] :  ! [v1: $i] : (v0 = nil |  ~ (hd(v0) = v1) |  ~ $i(v0) | 
% 197.87/28.26  |          ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (ssItem(v1) = 0 &
% 197.87/28.26  |            $i(v1)))
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax83) implies:
% 197.87/28.26  |   (5)   ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] :  ! [v2:
% 197.87/28.26  |            $i] : ( ~ (app(v0, v1) = v2) |  ~ $i(v1) |  ? [v3: int] : ( ~ (v3 =
% 197.87/28.26  |                0) & ssList(v1) = v3) | (( ~ (v2 = nil) | (v1 = nil & v0 =
% 197.87/28.26  |                  nil)) & ( ~ (v1 = nil) |  ~ (v0 = nil) | v2 = nil))))
% 197.87/28.26  | 
% 197.87/28.26  | ALPHA: (ax85) implies:
% 197.87/28.27  |   (6)   ! [v0: $i] :  ! [v1: $i] : ( ~ (hd(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 197.87/28.27  |            int] : ( ~ (v2 = 0) & ssList(v0) = v2) |  ! [v2: $i] :  ! [v3: $i]
% 197.87/28.27  |          : (v0 = nil |  ~ (app(v0, v2) = v3) |  ~ $i(v2) |  ? [v4: any] :  ?
% 197.87/28.27  |            [v5: $i] : (hd(v3) = v5 & ssList(v2) = v4 & $i(v5) & ( ~ (v4 = 0) |
% 197.87/28.27  |                v5 = v1))))
% 197.87/28.27  | 
% 197.87/28.27  | ALPHA: (co1) implies:
% 197.87/28.27  |   (7)  $i(nil)
% 197.87/28.27  |   (8)   ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1: $i] :  ? [v2: any] :
% 197.87/28.27  |          (ssList(v1) = 0 & neq(v1, nil) = v2 & $i(v1) &  ? [v3: $i] :  ? [v4:
% 197.87/28.27  |              any] : (ssList(v3) = 0 & neq(v3, nil) = v4 & $i(v3) &  ? [v5:
% 197.87/28.27  |                any] : (v3 = v0 & rearsegP(v1, v0) = v5 & ((v5 = 0 & v4 = 0) |
% 197.87/28.27  |                  (v1 = nil & v0 = nil)) & ((v2 = 0 &  ! [v6: $i] : ( ~
% 197.87/28.27  |                      (neq(v6, nil) = 0) |  ~ $i(v6) |  ? [v7: any] :  ? [v8:
% 197.87/28.27  |                        any] :  ? [v9: any] : (rearsegP(v1, v6) = v8 &
% 197.87/28.27  |                        rearsegP(v0, v6) = v9 & ssList(v6) = v7 & ( ~ (v9 = 0)
% 197.87/28.27  |                          |  ~ (v8 = 0) |  ~ (v7 = 0))))) | (v1 = nil &  ~ (v0
% 197.87/28.27  |                      = nil)))))))
% 197.87/28.27  | 
% 197.87/28.27  | ALPHA: (function-axioms) implies:
% 197.87/28.27  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 197.87/28.27  |        (v1 = v0 |  ~ (ssList(v2) = v1) |  ~ (ssList(v2) = v0))
% 197.87/28.27  |   (10)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 197.87/28.27  |         :  ! [v3: $i] : (v1 = v0 |  ~ (rearsegP(v3, v2) = v1) |  ~
% 197.87/28.27  |           (rearsegP(v3, v2) = v0))
% 197.87/28.27  |   (11)   ? [v0: $i] :  ? [v1: $i] : (hd(v0) = v1 & $i(v1))
% 197.87/28.27  | 
% 197.87/28.27  | DELTA: instantiating (11) with fresh symbols all_129_0, all_129_1 gives:
% 197.87/28.27  |   (12)  hd(all_129_1) = all_129_0 & $i(all_129_0)
% 197.87/28.27  | 
% 197.87/28.27  | ALPHA: (12) implies:
% 197.87/28.27  |   (13)  hd(all_129_1) = all_129_0
% 197.87/28.27  | 
% 197.87/28.27  | DELTA: instantiating (8) with fresh symbol all_139_0 gives:
% 197.87/28.27  |   (14)  ssList(all_139_0) = 0 & $i(all_139_0) &  ? [v0: $i] :  ? [v1: any] :
% 197.87/28.27  |         (ssList(v0) = 0 & neq(v0, nil) = v1 & $i(v0) &  ? [v2: $i] :  ? [v3:
% 197.87/28.27  |             any] : (ssList(v2) = 0 & neq(v2, nil) = v3 & $i(v2) &  ? [v4: any]
% 197.87/28.27  |             : (v2 = all_139_0 & rearsegP(v0, all_139_0) = v4 & ((v4 = 0 & v3 =
% 197.87/28.27  |                   0) | (v0 = nil & all_139_0 = nil)) & ((v1 = 0 &  ! [v5: $i]
% 197.87/28.27  |                   : ( ~ (neq(v5, nil) = 0) |  ~ $i(v5) |  ? [v6: any] :  ?
% 197.87/28.27  |                     [v7: any] :  ? [v8: any] : (rearsegP(v0, v5) = v7 &
% 197.87/28.27  |                       rearsegP(all_139_0, v5) = v8 & ssList(v5) = v6 & ( ~ (v8
% 197.87/28.27  |                           = 0) |  ~ (v7 = 0) |  ~ (v6 = 0))))) | (v0 = nil & 
% 197.87/28.27  |                   ~ (all_139_0 = nil))))))
% 197.87/28.27  | 
% 197.87/28.27  | ALPHA: (14) implies:
% 197.87/28.28  |   (15)   ? [v0: $i] :  ? [v1: any] : (ssList(v0) = 0 & neq(v0, nil) = v1 &
% 197.87/28.28  |           $i(v0) &  ? [v2: $i] :  ? [v3: any] : (ssList(v2) = 0 & neq(v2, nil)
% 197.87/28.28  |             = v3 & $i(v2) &  ? [v4: any] : (v2 = all_139_0 & rearsegP(v0,
% 197.87/28.28  |                 all_139_0) = v4 & ((v4 = 0 & v3 = 0) | (v0 = nil & all_139_0 =
% 197.87/28.28  |                   nil)) & ((v1 = 0 &  ! [v5: $i] : ( ~ (neq(v5, nil) = 0) |  ~
% 197.87/28.28  |                     $i(v5) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :
% 197.87/28.28  |                     (rearsegP(v0, v5) = v7 & rearsegP(all_139_0, v5) = v8 &
% 197.87/28.28  |                       ssList(v5) = v6 & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 =
% 197.87/28.28  |                           0))))) | (v0 = nil &  ~ (all_139_0 = nil))))))
% 197.87/28.28  | 
% 197.87/28.28  | DELTA: instantiating (15) with fresh symbols all_143_0, all_143_1 gives:
% 197.87/28.28  |   (16)  ssList(all_143_1) = 0 & neq(all_143_1, nil) = all_143_0 &
% 197.87/28.28  |         $i(all_143_1) &  ? [v0: $i] :  ? [v1: any] : (ssList(v0) = 0 & neq(v0,
% 197.87/28.28  |             nil) = v1 & $i(v0) &  ? [v2: any] : (v0 = all_139_0 &
% 197.87/28.28  |             rearsegP(all_143_1, all_139_0) = v2 & ((v2 = 0 & v1 = 0) |
% 197.87/28.28  |               (all_143_1 = nil & all_139_0 = nil)) & ((all_143_0 = 0 &  ! [v3:
% 197.87/28.28  |                   $i] : ( ~ (neq(v3, nil) = 0) |  ~ $i(v3) |  ? [v4: any] :  ?
% 197.87/28.28  |                   [v5: any] :  ? [v6: any] : (rearsegP(all_143_1, v3) = v5 &
% 197.87/28.28  |                     rearsegP(all_139_0, v3) = v6 & ssList(v3) = v4 & ( ~ (v6 =
% 197.87/28.28  |                         0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) | (all_143_1 = nil
% 197.87/28.28  |                 &  ~ (all_139_0 = nil)))))
% 197.87/28.28  | 
% 197.87/28.28  | ALPHA: (16) implies:
% 197.87/28.28  |   (17)  $i(all_143_1)
% 197.87/28.28  |   (18)  neq(all_143_1, nil) = all_143_0
% 197.87/28.28  |   (19)  ssList(all_143_1) = 0
% 197.87/28.28  |   (20)   ? [v0: $i] :  ? [v1: any] : (ssList(v0) = 0 & neq(v0, nil) = v1 &
% 197.87/28.28  |           $i(v0) &  ? [v2: any] : (v0 = all_139_0 & rearsegP(all_143_1,
% 197.87/28.28  |               all_139_0) = v2 & ((v2 = 0 & v1 = 0) | (all_143_1 = nil &
% 197.87/28.28  |                 all_139_0 = nil)) & ((all_143_0 = 0 &  ! [v3: $i] : ( ~
% 197.87/28.28  |                   (neq(v3, nil) = 0) |  ~ $i(v3) |  ? [v4: any] :  ? [v5: any]
% 197.87/28.28  |                   :  ? [v6: any] : (rearsegP(all_143_1, v3) = v5 &
% 197.87/28.28  |                     rearsegP(all_139_0, v3) = v6 & ssList(v3) = v4 & ( ~ (v6 =
% 197.87/28.28  |                         0) |  ~ (v5 = 0) |  ~ (v4 = 0))))) | (all_143_1 = nil
% 197.87/28.28  |                 &  ~ (all_139_0 = nil)))))
% 197.87/28.28  | 
% 197.87/28.28  | DELTA: instantiating (20) with fresh symbols all_145_0, all_145_1 gives:
% 197.87/28.28  |   (21)  ssList(all_145_1) = 0 & neq(all_145_1, nil) = all_145_0 &
% 197.87/28.28  |         $i(all_145_1) &  ? [v0: any] : (all_145_1 = all_139_0 &
% 197.87/28.28  |           rearsegP(all_143_1, all_139_0) = v0 & ((v0 = 0 & all_145_0 = 0) |
% 197.87/28.28  |             (all_143_1 = nil & all_139_0 = nil)) & ((all_143_0 = 0 &  ! [v1:
% 197.87/28.28  |                 $i] : ( ~ (neq(v1, nil) = 0) |  ~ $i(v1) |  ? [v2: any] :  ?
% 197.87/28.28  |                 [v3: any] :  ? [v4: any] : (rearsegP(all_143_1, v1) = v3 &
% 197.87/28.28  |                   rearsegP(all_139_0, v1) = v4 & ssList(v1) = v2 & ( ~ (v4 =
% 197.87/28.28  |                       0) |  ~ (v3 = 0) |  ~ (v2 = 0))))) | (all_143_1 = nil & 
% 197.87/28.28  |               ~ (all_139_0 = nil))))
% 197.87/28.28  | 
% 197.87/28.28  | ALPHA: (21) implies:
% 197.87/28.29  |   (22)  $i(all_145_1)
% 197.87/28.29  |   (23)  neq(all_145_1, nil) = all_145_0
% 197.87/28.29  |   (24)  ssList(all_145_1) = 0
% 197.87/28.29  |   (25)   ? [v0: any] : (all_145_1 = all_139_0 & rearsegP(all_143_1, all_139_0)
% 197.87/28.29  |           = v0 & ((v0 = 0 & all_145_0 = 0) | (all_143_1 = nil & all_139_0 =
% 197.87/28.29  |               nil)) & ((all_143_0 = 0 &  ! [v1: $i] : ( ~ (neq(v1, nil) = 0) |
% 197.87/28.29  |                  ~ $i(v1) |  ? [v2: any] :  ? [v3: any] :  ? [v4: any] :
% 197.87/28.29  |                 (rearsegP(all_143_1, v1) = v3 & rearsegP(all_139_0, v1) = v4 &
% 197.87/28.29  |                   ssList(v1) = v2 & ( ~ (v4 = 0) |  ~ (v3 = 0) |  ~ (v2 =
% 197.87/28.29  |                       0))))) | (all_143_1 = nil &  ~ (all_139_0 = nil))))
% 197.87/28.29  | 
% 197.87/28.29  | DELTA: instantiating (25) with fresh symbol all_147_0 gives:
% 198.11/28.29  |   (26)  all_145_1 = all_139_0 & rearsegP(all_143_1, all_139_0) = all_147_0 &
% 198.11/28.29  |         ((all_147_0 = 0 & all_145_0 = 0) | (all_143_1 = nil & all_139_0 =
% 198.11/28.29  |             nil)) & ((all_143_0 = 0 &  ! [v0: $i] : ( ~ (neq(v0, nil) = 0) | 
% 198.11/28.29  |               ~ $i(v0) |  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 198.11/28.29  |               (rearsegP(all_143_1, v0) = v2 & rearsegP(all_139_0, v0) = v3 &
% 198.11/28.29  |                 ssList(v0) = v1 & ( ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0)))))
% 198.11/28.29  |           | (all_143_1 = nil &  ~ (all_139_0 = nil)))
% 198.11/28.29  | 
% 198.11/28.29  | ALPHA: (26) implies:
% 198.11/28.29  |   (27)  all_145_1 = all_139_0
% 198.11/28.29  |   (28)  rearsegP(all_143_1, all_139_0) = all_147_0
% 198.11/28.29  |   (29)  (all_143_0 = 0 &  ! [v0: $i] : ( ~ (neq(v0, nil) = 0) |  ~ $i(v0) |  ?
% 198.11/28.29  |             [v1: any] :  ? [v2: any] :  ? [v3: any] : (rearsegP(all_143_1, v0)
% 198.11/28.29  |               = v2 & rearsegP(all_139_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3
% 198.11/28.29  |                   = 0) |  ~ (v2 = 0) |  ~ (v1 = 0))))) | (all_143_1 = nil &  ~
% 198.11/28.29  |           (all_139_0 = nil))
% 198.11/28.29  |   (30)  (all_147_0 = 0 & all_145_0 = 0) | (all_143_1 = nil & all_139_0 = nil)
% 198.11/28.29  | 
% 198.11/28.29  | REDUCE: (24), (27) imply:
% 198.11/28.29  |   (31)  ssList(all_139_0) = 0
% 198.11/28.29  | 
% 198.11/28.29  | REDUCE: (23), (27) imply:
% 198.11/28.29  |   (32)  neq(all_139_0, nil) = all_145_0
% 198.11/28.29  | 
% 198.11/28.29  | REDUCE: (22), (27) imply:
% 198.11/28.29  |   (33)  $i(all_139_0)
% 198.11/28.29  | 
% 198.11/28.29  | GROUND_INST: instantiating (2) with all_139_0, simplifying with (31), (33)
% 198.11/28.29  |              gives:
% 198.11/28.29  |   (34)  all_139_0 = nil |  ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1: $i]
% 198.11/28.29  |           : (cons(v1, v0) = all_139_0 & ssItem(v1) = 0 & $i(v1)))
% 198.11/28.29  | 
% 198.11/28.29  | GROUND_INST: instantiating (ax15) with all_139_0, simplifying with (31), (33)
% 198.11/28.29  |              gives:
% 198.11/28.29  |   (35)   ! [v0: $i] :  ! [v1: any] : ( ~ (neq(all_139_0, v0) = v1) |  ~ $i(v0)
% 198.11/28.29  |           |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | 
% 198.11/28.29  |               ~ (v0 = all_139_0)) & (v1 = 0 | v0 = all_139_0)))
% 198.11/28.29  | 
% 198.11/28.29  | GROUND_INST: instantiating (2) with all_143_1, simplifying with (17), (19)
% 198.11/28.29  |              gives:
% 198.11/28.30  |   (36)  all_143_1 = nil |  ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1: $i]
% 198.11/28.30  |           : (cons(v1, v0) = all_143_1 & ssItem(v1) = 0 & $i(v1)))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (ax6) with all_143_1, simplifying with (17), (19)
% 198.11/28.30  |              gives:
% 198.11/28.30  |   (37)   ! [v0: $i] :  ! [v1: any] : ( ~ (rearsegP(all_143_1, v0) = v1) |  ~
% 198.11/28.30  |           $i(v0) |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 =
% 198.11/28.30  |                 0) |  ? [v2: $i] : (ssList(v2) = 0 & app(v2, v0) = all_143_1 &
% 198.11/28.30  |                 $i(v2))) & (v1 = 0 |  ! [v2: $i] : ( ~ (app(v2, v0) =
% 198.11/28.30  |                   all_143_1) |  ~ $i(v2) |  ? [v3: int] : ( ~ (v3 = 0) &
% 198.11/28.30  |                   ssList(v2) = v3)))))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (ax15) with all_143_1, simplifying with (17), (19)
% 198.11/28.30  |              gives:
% 198.11/28.30  |   (38)   ! [v0: $i] :  ! [v1: any] : ( ~ (neq(all_143_1, v0) = v1) |  ~ $i(v0)
% 198.11/28.30  |           |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2) | (( ~ (v1 = 0) | 
% 198.11/28.30  |               ~ (v0 = all_143_1)) & (v1 = 0 | v0 = all_143_1)))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (ax48) with all_143_1, simplifying with (17), (19)
% 198.11/28.30  |              gives:
% 198.11/28.30  |   (39)   ! [v0: any] : (v0 = all_143_1 |  ~ (rearsegP(all_143_1, v0) = 0) |  ~
% 198.11/28.30  |           $i(v0) |  ? [v1: any] :  ? [v2: any] : (rearsegP(v0, all_143_1) = v2
% 198.11/28.30  |             & ssList(v0) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0))))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (ax13) with nil, 0, simplifying with (3), (7)
% 198.11/28.30  |              gives:
% 198.11/28.30  |   (40)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) |  ! [v0: $i] : ( ~
% 198.11/28.30  |           (ssItem(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] : ( ~ (ssItem(v1) = 0) | 
% 198.11/28.30  |             ~ $i(v1) |  ! [v2: $i] : ( ~ (ssList(v2) = 0) |  ~ $i(v2) |  !
% 198.11/28.30  |               [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : ( ~ (cons(v0, v3) = v4) |
% 198.11/28.30  |                  ~ (app(v2, v4) = v5) |  ~ $i(v3) |  ? [v6: int] : ( ~ (v6 =
% 198.11/28.30  |                     0) & ssList(v3) = v6) |  ! [v6: $i] :  ! [v7: $i] : ( ~
% 198.11/28.30  |                   (v1 = v0) |  ~ (cons(v0, v6) = v7) |  ~ (app(v5, v7) = nil)
% 198.11/28.30  |                   |  ~ $i(v6) |  ? [v8: int] : ( ~ (v8 = 0) & ssList(v6) =
% 198.11/28.30  |                     v8))))))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (4) with all_129_1, all_129_0, simplifying with
% 198.11/28.30  |              (13) gives:
% 198.11/28.30  |   (41)  all_129_1 = nil |  ~ $i(all_129_1) |  ? [v0: int] : ( ~ (v0 = 0) &
% 198.11/28.30  |           ssList(all_129_1) = v0) | (ssItem(all_129_0) = 0 & $i(all_129_0))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (6) with all_129_1, all_129_0, simplifying with
% 198.11/28.30  |              (13) gives:
% 198.11/28.30  |   (42)   ~ $i(all_129_1) |  ? [v0: int] : ( ~ (v0 = 0) & ssList(all_129_1) =
% 198.11/28.30  |           v0) |  ! [v0: $i] :  ! [v1: $i] : (all_129_1 = nil |  ~
% 198.11/28.30  |           (app(all_129_1, v0) = v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: $i] :
% 198.11/28.30  |           (hd(v1) = v3 & ssList(v0) = v2 & $i(v3) & ( ~ (v2 = 0) | v3 =
% 198.11/28.30  |               all_129_0)))
% 198.11/28.30  | 
% 198.11/28.30  | GROUND_INST: instantiating (38) with nil, all_143_0, simplifying with (7),
% 198.11/28.30  |              (18) gives:
% 198.11/28.31  |   (43)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) | (( ~ (all_143_0 = 0)
% 198.11/28.31  |             |  ~ (all_143_1 = nil)) & (all_143_0 = 0 | all_143_1 = nil))
% 198.11/28.31  | 
% 198.11/28.31  | GROUND_INST: instantiating (37) with all_139_0, all_147_0, simplifying with
% 198.11/28.31  |              (28), (33) gives:
% 198.11/28.31  |   (44)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0) | (( ~
% 198.11/28.31  |             (all_147_0 = 0) |  ? [v0: $i] : (ssList(v0) = 0 & app(v0,
% 198.11/28.31  |                 all_139_0) = all_143_1 & $i(v0))) & (all_147_0 = 0 |  ! [v0:
% 198.11/28.31  |               $i] : ( ~ (app(v0, all_139_0) = all_143_1) |  ~ $i(v0) |  ? [v1:
% 198.11/28.31  |                 int] : ( ~ (v1 = 0) & ssList(v0) = v1))))
% 198.11/28.31  | 
% 198.11/28.31  | GROUND_INST: instantiating (35) with nil, all_145_0, simplifying with (7),
% 198.11/28.31  |              (32) gives:
% 198.11/28.31  |   (45)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0) | (( ~ (all_145_0 = 0)
% 198.11/28.31  |             |  ~ (all_139_0 = nil)) & (all_145_0 = 0 | all_139_0 = nil))
% 198.11/28.31  | 
% 198.11/28.31  | BETA: splitting (40) gives:
% 198.11/28.31  | 
% 198.11/28.31  | Case 1:
% 198.11/28.31  | | 
% 198.11/28.31  | |   (46)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 198.11/28.31  | | 
% 198.11/28.31  | | REF_CLOSE: (1), (9), (46) are inconsistent by sub-proof #2.
% 198.11/28.31  | | 
% 198.11/28.31  | Case 2:
% 198.11/28.31  | | 
% 198.11/28.31  | |   (47)   ! [v0: $i] : ( ~ (ssItem(v0) = 0) |  ~ $i(v0) |  ! [v1: $i] : ( ~
% 198.11/28.31  | |             (ssItem(v1) = 0) |  ~ $i(v1) |  ! [v2: $i] : ( ~ (ssList(v2) =
% 198.11/28.31  | |                 0) |  ~ $i(v2) |  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : (
% 198.11/28.31  | |                 ~ (cons(v0, v3) = v4) |  ~ (app(v2, v4) = v5) |  ~ $i(v3) | 
% 198.11/28.31  | |                 ? [v6: int] : ( ~ (v6 = 0) & ssList(v3) = v6) |  ! [v6: $i]
% 198.11/28.31  | |                 :  ! [v7: $i] : ( ~ (v1 = v0) |  ~ (cons(v0, v6) = v7) |  ~
% 198.11/28.31  | |                   (app(v5, v7) = nil) |  ~ $i(v6) |  ? [v8: int] : ( ~ (v8 =
% 198.11/28.31  | |                       0) & ssList(v6) = v8))))))
% 198.11/28.31  | | 
% 198.11/28.31  | | BETA: splitting (29) gives:
% 198.11/28.31  | | 
% 198.11/28.31  | | Case 1:
% 198.11/28.31  | | | 
% 198.11/28.31  | | |   (48)  all_143_0 = 0 &  ! [v0: $i] : ( ~ (neq(v0, nil) = 0) |  ~ $i(v0) |
% 198.11/28.31  | | |            ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 198.11/28.31  | | |           (rearsegP(all_143_1, v0) = v2 & rearsegP(all_139_0, v0) = v3 &
% 198.11/28.31  | | |             ssList(v0) = v1 & ( ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0))))
% 198.11/28.31  | | | 
% 198.11/28.31  | | | ALPHA: (48) implies:
% 198.11/28.31  | | |   (49)  all_143_0 = 0
% 198.11/28.32  | | |   (50)   ! [v0: $i] : ( ~ (neq(v0, nil) = 0) |  ~ $i(v0) |  ? [v1: any] : 
% 198.11/28.32  | | |           ? [v2: any] :  ? [v3: any] : (rearsegP(all_143_1, v0) = v2 &
% 198.11/28.32  | | |             rearsegP(all_139_0, v0) = v3 & ssList(v0) = v1 & ( ~ (v3 = 0)
% 198.11/28.32  | | |               |  ~ (v2 = 0) |  ~ (v1 = 0))))
% 198.11/28.32  | | | 
% 198.11/28.32  | | | REDUCE: (18), (49) imply:
% 198.11/28.32  | | |   (51)  neq(all_143_1, nil) = 0
% 198.11/28.32  | | | 
% 198.11/28.32  | | | BETA: splitting (43) gives:
% 198.11/28.32  | | | 
% 198.11/28.32  | | | Case 1:
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | |   (52)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | | REF_CLOSE: (1), (9), (52) are inconsistent by sub-proof #2.
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | Case 2:
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | |   (53)  ( ~ (all_143_0 = 0) |  ~ (all_143_1 = nil)) & (all_143_0 = 0 |
% 198.11/28.32  | | | |           all_143_1 = nil)
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | | ALPHA: (53) implies:
% 198.11/28.32  | | | |   (54)   ~ (all_143_0 = 0) |  ~ (all_143_1 = nil)
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | | BETA: splitting (54) gives:
% 198.11/28.32  | | | | 
% 198.11/28.32  | | | | Case 1:
% 198.11/28.32  | | | | | 
% 198.11/28.32  | | | | |   (55)   ~ (all_143_1 = nil)
% 198.11/28.32  | | | | | 
% 198.11/28.32  | | | | | BETA: splitting (30) gives:
% 198.11/28.32  | | | | | 
% 198.11/28.32  | | | | | Case 1:
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | |   (56)  all_147_0 = 0 & all_145_0 = 0
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | | ALPHA: (56) implies:
% 198.11/28.32  | | | | | |   (57)  all_145_0 = 0
% 198.11/28.32  | | | | | |   (58)  all_147_0 = 0
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | | REDUCE: (28), (58) imply:
% 198.11/28.32  | | | | | |   (59)  rearsegP(all_143_1, all_139_0) = 0
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | | REDUCE: (32), (57) imply:
% 198.11/28.32  | | | | | |   (60)  neq(all_139_0, nil) = 0
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | | BETA: splitting (45) gives:
% 198.11/28.32  | | | | | | 
% 198.11/28.32  | | | | | | Case 1:
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | |   (61)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | | REF_CLOSE: (1), (9), (61) are inconsistent by sub-proof #2.
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | Case 2:
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | |   (62)  ( ~ (all_145_0 = 0) |  ~ (all_139_0 = nil)) & (all_145_0 =
% 198.11/28.32  | | | | | | |           0 | all_139_0 = nil)
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | | ALPHA: (62) implies:
% 198.11/28.32  | | | | | | |   (63)   ~ (all_145_0 = 0) |  ~ (all_139_0 = nil)
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | | BETA: splitting (36) gives:
% 198.11/28.32  | | | | | | | 
% 198.11/28.32  | | | | | | | Case 1:
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | |   (64)  all_143_1 = nil
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | REDUCE: (55), (64) imply:
% 198.11/28.32  | | | | | | | |   (65)  $false
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | CLOSE: (65) is inconsistent.
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | Case 2:
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | |   (66)   ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1: $i] :
% 198.11/28.32  | | | | | | | |           (cons(v1, v0) = all_143_1 & ssItem(v1) = 0 & $i(v1)))
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | DELTA: instantiating (66) with fresh symbol all_365_0 gives:
% 198.11/28.32  | | | | | | | |   (67)  ssList(all_365_0) = 0 & $i(all_365_0) &  ? [v0: $i] :
% 198.11/28.32  | | | | | | | |         (cons(v0, all_365_0) = all_143_1 & ssItem(v0) = 0 &
% 198.11/28.32  | | | | | | | |           $i(v0))
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | ALPHA: (67) implies:
% 198.11/28.32  | | | | | | | |   (68)   ? [v0: $i] : (cons(v0, all_365_0) = all_143_1 &
% 198.11/28.32  | | | | | | | |           ssItem(v0) = 0 & $i(v0))
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | DELTA: instantiating (68) with fresh symbol all_367_0 gives:
% 198.11/28.32  | | | | | | | |   (69)  cons(all_367_0, all_365_0) = all_143_1 &
% 198.11/28.32  | | | | | | | |         ssItem(all_367_0) = 0 & $i(all_367_0)
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | ALPHA: (69) implies:
% 198.11/28.32  | | | | | | | |   (70)  $i(all_367_0)
% 198.11/28.32  | | | | | | | |   (71)  ssItem(all_367_0) = 0
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | BETA: splitting (44) gives:
% 198.11/28.32  | | | | | | | | 
% 198.11/28.32  | | | | | | | | Case 1:
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | |   (72)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0)
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | DELTA: instantiating (72) with fresh symbol all_371_0 gives:
% 198.11/28.32  | | | | | | | | |   (73)   ~ (all_371_0 = 0) & ssList(all_139_0) = all_371_0
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | ALPHA: (73) implies:
% 198.11/28.32  | | | | | | | | |   (74)   ~ (all_371_0 = 0)
% 198.11/28.32  | | | | | | | | |   (75)  ssList(all_139_0) = all_371_0
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_371_0, all_139_0,
% 198.11/28.32  | | | | | | | | |              simplifying with (31), (75) gives:
% 198.11/28.32  | | | | | | | | |   (76)  all_371_0 = 0
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | REDUCE: (74), (76) imply:
% 198.11/28.32  | | | | | | | | |   (77)  $false
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | CLOSE: (77) is inconsistent.
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | Case 2:
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | |   (78)  ( ~ (all_147_0 = 0) |  ? [v0: $i] : (ssList(v0) = 0 &
% 198.11/28.32  | | | | | | | | |             app(v0, all_139_0) = all_143_1 & $i(v0))) &
% 198.11/28.32  | | | | | | | | |         (all_147_0 = 0 |  ! [v0: $i] : ( ~ (app(v0, all_139_0)
% 198.11/28.32  | | | | | | | | |               = all_143_1) |  ~ $i(v0) |  ? [v1: int] : ( ~
% 198.11/28.32  | | | | | | | | |               (v1 = 0) & ssList(v0) = v1)))
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.32  | | | | | | | | | ALPHA: (78) implies:
% 198.11/28.32  | | | | | | | | |   (79)   ~ (all_147_0 = 0) |  ? [v0: $i] : (ssList(v0) = 0 &
% 198.11/28.32  | | | | | | | | |           app(v0, all_139_0) = all_143_1 & $i(v0))
% 198.11/28.32  | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | BETA: splitting (63) gives:
% 198.11/28.33  | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | Case 1:
% 198.11/28.33  | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | |   (80)   ~ (all_139_0 = nil)
% 198.11/28.33  | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | BETA: splitting (79) gives:
% 198.11/28.33  | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | Case 1:
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | |   (81)   ~ (all_147_0 = 0)
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | REDUCE: (58), (81) imply:
% 198.11/28.33  | | | | | | | | | | |   (82)  $false
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | CLOSE: (82) is inconsistent.
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | Case 2:
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | |   (83)   ? [v0: $i] : (ssList(v0) = 0 & app(v0, all_139_0)
% 198.11/28.33  | | | | | | | | | | |           = all_143_1 & $i(v0))
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | DELTA: instantiating (83) with fresh symbol all_377_0
% 198.11/28.33  | | | | | | | | | | |        gives:
% 198.11/28.33  | | | | | | | | | | |   (84)  ssList(all_377_0) = 0 & app(all_377_0, all_139_0)
% 198.11/28.33  | | | | | | | | | | |         = all_143_1 & $i(all_377_0)
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | ALPHA: (84) implies:
% 198.11/28.33  | | | | | | | | | | |   (85)  $i(all_377_0)
% 198.11/28.33  | | | | | | | | | | |   (86)  app(all_377_0, all_139_0) = all_143_1
% 198.11/28.33  | | | | | | | | | | |   (87)  ssList(all_377_0) = 0
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | BETA: splitting (34) gives:
% 198.11/28.33  | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | Case 1:
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | |   (88)  all_139_0 = nil
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | REDUCE: (80), (88) imply:
% 198.11/28.33  | | | | | | | | | | | |   (89)  $false
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | CLOSE: (89) is inconsistent.
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | Case 2:
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | |   (90)   ? [v0: $i] : (ssList(v0) = 0 & $i(v0) &  ? [v1:
% 198.11/28.33  | | | | | | | | | | | |             $i] : (cons(v1, v0) = all_139_0 & ssItem(v1) =
% 198.11/28.33  | | | | | | | | | | | |             0 & $i(v1)))
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | DELTA: instantiating (90) with fresh symbol all_383_0
% 198.11/28.33  | | | | | | | | | | | |        gives:
% 198.11/28.33  | | | | | | | | | | | |   (91)  ssList(all_383_0) = 0 & $i(all_383_0) &  ? [v0:
% 198.11/28.33  | | | | | | | | | | | |           $i] : (cons(v0, all_383_0) = all_139_0 &
% 198.11/28.33  | | | | | | | | | | | |           ssItem(v0) = 0 & $i(v0))
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | ALPHA: (91) implies:
% 198.11/28.33  | | | | | | | | | | | |   (92)  $i(all_383_0)
% 198.11/28.33  | | | | | | | | | | | |   (93)  ssList(all_383_0) = 0
% 198.11/28.33  | | | | | | | | | | | |   (94)   ? [v0: $i] : (cons(v0, all_383_0) = all_139_0 &
% 198.11/28.33  | | | | | | | | | | | |           ssItem(v0) = 0 & $i(v0))
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | DELTA: instantiating (94) with fresh symbol all_385_0
% 198.11/28.33  | | | | | | | | | | | |        gives:
% 198.11/28.33  | | | | | | | | | | | |   (95)  cons(all_385_0, all_383_0) = all_139_0 &
% 198.11/28.33  | | | | | | | | | | | |         ssItem(all_385_0) = 0 & $i(all_385_0)
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | ALPHA: (95) implies:
% 198.11/28.33  | | | | | | | | | | | |   (96)  $i(all_385_0)
% 198.11/28.33  | | | | | | | | | | | |   (97)  ssItem(all_385_0) = 0
% 198.11/28.33  | | | | | | | | | | | |   (98)  cons(all_385_0, all_383_0) = all_139_0
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | BETA: splitting (42) gives:
% 198.11/28.33  | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | Case 1:
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_385_0, simplifying
% 198.11/28.33  | | | | | | | | | | | | |              with (96), (97) gives:
% 198.11/28.33  | | | | | | | | | | | | |   (99)   ! [v0: $i] : ( ~ (ssItem(v0) = 0) |  ~ $i(v0) | 
% 198.11/28.33  | | | | | | | | | | | | |           ! [v1: $i] : ( ~ (ssList(v1) = 0) |  ~ $i(v1) | 
% 198.11/28.33  | | | | | | | | | | | | |             ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 198.11/28.33  | | | | | | | | | | | | |               (cons(all_385_0, v2) = v3) |  ~ (app(v1, v3)
% 198.11/28.33  | | | | | | | | | | | | |                 = v4) |  ~ $i(v2) |  ? [v5: int] : ( ~ (v5
% 198.11/28.33  | | | | | | | | | | | | |                   = 0) & ssList(v2) = v5) |  ! [v5: $i] : 
% 198.11/28.33  | | | | | | | | | | | | |               ! [v6: $i] : ( ~ (v0 = all_385_0) |  ~
% 198.11/28.33  | | | | | | | | | | | | |                 (cons(all_385_0, v5) = v6) |  ~ (app(v4,
% 198.11/28.33  | | | | | | | | | | | | |                     v6) = nil) |  ~ $i(v5) |  ? [v7: int]
% 198.11/28.33  | | | | | | | | | | | | |                 : ( ~ (v7 = 0) & ssList(v5) = v7)))))
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_139_0, simplifying
% 198.11/28.33  | | | | | | | | | | | | |              with (33), (60) gives:
% 198.11/28.33  | | | | | | | | | | | | |   (100)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 198.11/28.33  | | | | | | | | | | | | |          (rearsegP(all_143_1, all_139_0) = v1 &
% 198.11/28.33  | | | | | | | | | | | | |            rearsegP(all_139_0, all_139_0) = v2 &
% 198.11/28.33  | | | | | | | | | | | | |            ssList(all_139_0) = v0 & ( ~ (v2 = 0) |  ~ (v1 =
% 198.11/28.33  | | | | | | | | | | | | |                0) |  ~ (v0 = 0)))
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_143_1, simplifying
% 198.11/28.33  | | | | | | | | | | | | |              with (17), (51) gives:
% 198.11/28.33  | | | | | | | | | | | | |   (101)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 198.11/28.33  | | | | | | | | | | | | |          (rearsegP(all_143_1, all_143_1) = v1 &
% 198.11/28.33  | | | | | | | | | | | | |            rearsegP(all_139_0, all_143_1) = v2 &
% 198.11/28.33  | | | | | | | | | | | | |            ssList(all_143_1) = v0 & ( ~ (v2 = 0) |  ~ (v1 =
% 198.11/28.33  | | | | | | | | | | | | |                0) |  ~ (v0 = 0)))
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_139_0, simplifying
% 198.11/28.33  | | | | | | | | | | | | |              with (33), (59) gives:
% 198.11/28.33  | | | | | | | | | | | | |   (102)  all_143_1 = all_139_0 |  ? [v0: any] :  ? [v1:
% 198.11/28.33  | | | | | | | | | | | | |            any] : (rearsegP(all_139_0, all_143_1) = v1 &
% 198.11/28.33  | | | | | | | | | | | | |            ssList(all_139_0) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 198.11/28.33  | | | | | | | | | | | | |                0)))
% 198.11/28.33  | | | | | | | | | | | | | 
% 198.11/28.33  | | | | | | | | | | | | | GROUND_INST: instantiating (99) with all_367_0, simplifying
% 198.11/28.33  | | | | | | | | | | | | |              with (70), (71) gives:
% 198.11/28.34  | | | | | | | | | | | | |   (103)   ! [v0: $i] : ( ~ (ssList(v0) = 0) |  ~ $i(v0) | 
% 198.11/28.34  | | | | | | | | | | | | |            ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 198.11/28.34  | | | | | | | | | | | | |              (cons(all_385_0, v1) = v2) |  ~ (app(v0, v2) =
% 198.11/28.34  | | | | | | | | | | | | |                v3) |  ~ $i(v1) |  ? [v4: int] : ( ~ (v4 =
% 198.11/28.34  | | | | | | | | | | | | |                  0) & ssList(v1) = v4) |  ! [v4: $i] :  !
% 198.11/28.34  | | | | | | | | | | | | |              [v5: $i] : ( ~ (all_385_0 = all_367_0) |  ~
% 198.11/28.34  | | | | | | | | | | | | |                (cons(all_367_0, v4) = v5) |  ~ (app(v3, v5)
% 198.11/28.34  | | | | | | | | | | | | |                  = nil) |  ~ $i(v4) |  ? [v6: int] : ( ~
% 198.11/28.34  | | | | | | | | | | | | |                  (v6 = 0) & ssList(v4) = v6))))
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | GROUND_INST: instantiating (103) with all_377_0, simplifying
% 198.11/28.34  | | | | | | | | | | | | |              with (85), (87) gives:
% 198.11/28.34  | | | | | | | | | | | | |   (104)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~
% 198.11/28.34  | | | | | | | | | | | | |            (cons(all_385_0, v0) = v1) |  ~ (app(all_377_0,
% 198.11/28.34  | | | | | | | | | | | | |                v1) = v2) |  ~ $i(v0) |  ? [v3: int] : ( ~
% 198.11/28.34  | | | | | | | | | | | | |              (v3 = 0) & ssList(v0) = v3) |  ! [v3: $i] :  !
% 198.11/28.34  | | | | | | | | | | | | |            [v4: $i] : ( ~ (all_385_0 = all_367_0) |  ~
% 198.11/28.34  | | | | | | | | | | | | |              (cons(all_367_0, v3) = v4) |  ~ (app(v2, v4) =
% 198.11/28.34  | | | | | | | | | | | | |                nil) |  ~ $i(v3) |  ? [v5: int] : ( ~ (v5 =
% 198.11/28.34  | | | | | | | | | | | | |                  0) & ssList(v3) = v5)))
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | GROUND_INST: instantiating (104) with all_383_0, all_139_0,
% 198.11/28.34  | | | | | | | | | | | | |              all_143_1, simplifying with (86), (92), (98)
% 198.11/28.34  | | | | | | | | | | | | |              gives:
% 198.11/28.34  | | | | | | | | | | | | |   (105)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_383_0) =
% 198.11/28.34  | | | | | | | | | | | | |            v0) |  ! [v0: $i] :  ! [v1: $i] : ( ~ (all_385_0
% 198.11/28.34  | | | | | | | | | | | | |              = all_367_0) |  ~ (cons(all_367_0, v0) = v1) |
% 198.11/28.34  | | | | | | | | | | | | |             ~ (app(all_143_1, v1) = nil) |  ~ $i(v0) |  ?
% 198.11/28.34  | | | | | | | | | | | | |            [v2: int] : ( ~ (v2 = 0) & ssList(v0) = v2))
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | DELTA: instantiating (101) with fresh symbols all_754_0,
% 198.11/28.34  | | | | | | | | | | | | |        all_754_1, all_754_2 gives:
% 198.11/28.34  | | | | | | | | | | | | |   (106)  rearsegP(all_143_1, all_143_1) = all_754_1 &
% 198.11/28.34  | | | | | | | | | | | | |          rearsegP(all_139_0, all_143_1) = all_754_0 &
% 198.11/28.34  | | | | | | | | | | | | |          ssList(all_143_1) = all_754_2 & ( ~ (all_754_0 =
% 198.11/28.34  | | | | | | | | | | | | |              0) |  ~ (all_754_1 = 0) |  ~ (all_754_2 = 0))
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | ALPHA: (106) implies:
% 198.11/28.34  | | | | | | | | | | | | |   (107)  rearsegP(all_139_0, all_143_1) = all_754_0
% 198.11/28.34  | | | | | | | | | | | | |   (108)  rearsegP(all_143_1, all_143_1) = all_754_1
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | DELTA: instantiating (100) with fresh symbols all_756_0,
% 198.11/28.34  | | | | | | | | | | | | |        all_756_1, all_756_2 gives:
% 198.11/28.34  | | | | | | | | | | | | |   (109)  rearsegP(all_143_1, all_139_0) = all_756_1 &
% 198.11/28.34  | | | | | | | | | | | | |          rearsegP(all_139_0, all_139_0) = all_756_0 &
% 198.11/28.34  | | | | | | | | | | | | |          ssList(all_139_0) = all_756_2 & ( ~ (all_756_0 =
% 198.11/28.34  | | | | | | | | | | | | |              0) |  ~ (all_756_1 = 0) |  ~ (all_756_2 = 0))
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | ALPHA: (109) implies:
% 198.11/28.34  | | | | | | | | | | | | |   (110)  ssList(all_139_0) = all_756_2
% 198.11/28.34  | | | | | | | | | | | | |   (111)  rearsegP(all_139_0, all_139_0) = all_756_0
% 198.11/28.34  | | | | | | | | | | | | |   (112)  rearsegP(all_143_1, all_139_0) = all_756_1
% 198.11/28.34  | | | | | | | | | | | | |   (113)   ~ (all_756_0 = 0) |  ~ (all_756_1 = 0) |  ~
% 198.11/28.34  | | | | | | | | | | | | |          (all_756_2 = 0)
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | BETA: splitting (105) gives:
% 198.11/28.34  | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | Case 1:
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | |   (114)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_383_0) =
% 198.11/28.34  | | | | | | | | | | | | | |            v0)
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | DELTA: instantiating (114) with fresh symbol all_803_0
% 198.11/28.34  | | | | | | | | | | | | | |        gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (115)   ~ (all_803_0 = 0) & ssList(all_383_0) = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | ALPHA: (115) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (116)   ~ (all_803_0 = 0)
% 198.11/28.34  | | | | | | | | | | | | | |   (117)  ssList(all_383_0) = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | DELTA: instantiating (114) with fresh symbol all_805_0
% 198.11/28.34  | | | | | | | | | | | | | |        gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (118)   ~ (all_805_0 = 0) & ssList(all_383_0) = all_805_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | ALPHA: (118) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (119)  ssList(all_383_0) = all_805_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | DELTA: instantiating (114) with fresh symbol all_807_0
% 198.11/28.34  | | | | | | | | | | | | | |        gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (120)   ~ (all_807_0 = 0) & ssList(all_383_0) = all_807_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | ALPHA: (120) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (121)  ssList(all_383_0) = all_807_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | DELTA: instantiating (114) with fresh symbol all_809_0
% 198.11/28.34  | | | | | | | | | | | | | |        gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (122)   ~ (all_809_0 = 0) & ssList(all_383_0) = all_809_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | ALPHA: (122) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (123)  ssList(all_383_0) = all_809_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | DELTA: instantiating (114) with fresh symbol all_811_0
% 198.11/28.34  | | | | | | | | | | | | | |        gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (124)   ~ (all_811_0 = 0) & ssList(all_383_0) = all_811_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | ALPHA: (124) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (125)  ssList(all_383_0) = all_811_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_805_0, all_383_0,
% 198.11/28.34  | | | | | | | | | | | | | |              simplifying with (93), (119) gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (126)  all_805_0 = 0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_807_0, all_809_0,
% 198.11/28.34  | | | | | | | | | | | | | |              all_383_0, simplifying with (121), (123) gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (127)  all_809_0 = all_807_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_805_0, all_809_0,
% 198.11/28.34  | | | | | | | | | | | | | |              all_383_0, simplifying with (119), (123) gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (128)  all_809_0 = all_805_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_809_0, all_811_0,
% 198.11/28.34  | | | | | | | | | | | | | |              all_383_0, simplifying with (123), (125) gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (129)  all_811_0 = all_809_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_803_0, all_811_0,
% 198.11/28.34  | | | | | | | | | | | | | |              all_383_0, simplifying with (117), (125) gives:
% 198.11/28.34  | | | | | | | | | | | | | |   (130)  all_811_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | COMBINE_EQS: (129), (130) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (131)  all_809_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | SIMP: (131) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (132)  all_809_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | COMBINE_EQS: (127), (132) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (133)  all_807_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | COMBINE_EQS: (127), (128) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (134)  all_807_0 = all_805_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | COMBINE_EQS: (133), (134) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (135)  all_805_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | SIMP: (135) implies:
% 198.11/28.34  | | | | | | | | | | | | | |   (136)  all_805_0 = all_803_0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | COMBINE_EQS: (126), (136) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (137)  all_803_0 = 0
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | REDUCE: (116), (137) imply:
% 198.11/28.34  | | | | | | | | | | | | | |   (138)  $false
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.11/28.34  | | | | | | | | | | | | | | CLOSE: (138) is inconsistent.
% 198.11/28.34  | | | | | | | | | | | | | | 
% 198.39/28.34  | | | | | | | | | | | | | Case 2:
% 198.39/28.34  | | | | | | | | | | | | | | 
% 198.39/28.34  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_756_2, all_139_0,
% 198.39/28.35  | | | | | | | | | | | | | |              simplifying with (31), (110) gives:
% 198.39/28.35  | | | | | | | | | | | | | |   (139)  all_756_2 = 0
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_756_1, all_139_0,
% 198.39/28.35  | | | | | | | | | | | | | |              all_143_1, simplifying with (59), (112) gives:
% 198.39/28.35  | | | | | | | | | | | | | |   (140)  all_756_1 = 0
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | |   (141)   ~ (all_756_0 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | |   (142)  all_143_1 = all_139_0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (108), (142) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (143)  rearsegP(all_139_0, all_139_0) = all_754_1
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (59), (142) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (144)  rearsegP(all_139_0, all_139_0) = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (107), (142) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (145)  rearsegP(all_139_0, all_139_0) = all_754_0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_756_0, all_754_1,
% 198.39/28.35  | | | | | | | | | | | | | | | |              all_139_0, all_139_0, simplifying with (111),
% 198.39/28.35  | | | | | | | | | | | | | | | |              (143) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (146)  all_756_0 = all_754_1
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_756_0, all_754_0,
% 198.39/28.35  | | | | | | | | | | | | | | | |              all_139_0, all_139_0, simplifying with (111),
% 198.39/28.35  | | | | | | | | | | | | | | | |              (145) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (147)  all_756_0 = all_754_0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_754_0, all_139_0,
% 198.39/28.35  | | | | | | | | | | | | | | | |              all_139_0, simplifying with (144), (145) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (148)  all_754_0 = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (146), (147) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (149)  all_754_0 = all_754_1
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | SIMP: (149) implies:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (150)  all_754_0 = all_754_1
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (150) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (151)  all_754_1 = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (146), (151) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (152)  all_756_0 = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (141), (152) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (153)  $false
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | CLOSE: (153) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | |   (154)   ? [v0: any] :  ? [v1: any] : (rearsegP(all_139_0,
% 198.39/28.35  | | | | | | | | | | | | | | | |              all_143_1) = v1 & ssList(all_139_0) = v0 & ( ~
% 198.39/28.35  | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | DELTA: instantiating (154) with fresh symbols all_884_0,
% 198.39/28.35  | | | | | | | | | | | | | | | |        all_884_1 gives:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (155)  rearsegP(all_139_0, all_143_1) = all_884_0 &
% 198.39/28.35  | | | | | | | | | | | | | | | |          ssList(all_139_0) = all_884_1 & ( ~ (all_884_0 =
% 198.39/28.35  | | | | | | | | | | | | | | | |              0) |  ~ (all_884_1 = 0))
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | ALPHA: (155) implies:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (156)  ssList(all_139_0) = all_884_1
% 198.39/28.35  | | | | | | | | | | | | | | | |   (157)   ~ (all_884_0 = 0) |  ~ (all_884_1 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_884_1, all_139_0,
% 198.39/28.35  | | | | | | | | | | | | | | | |              simplifying with (31), (156) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (158)  all_884_1 = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (ax49) with all_139_0, all_756_0,
% 198.39/28.35  | | | | | | | | | | | | | | | | |              simplifying with (33), (111) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | | |   (159)  all_756_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 198.39/28.35  | | | | | | | | | | | | | | | | |            ssList(all_139_0) = v0)
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | |   (160)  all_756_0 = 0
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | | REDUCE: (141), (160) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | | | |   (161)  $false
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | |   (162)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) =
% 198.39/28.35  | | | | | | | | | | | | | | | | | |            v0)
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (31), (162) are inconsistent by sub-proof #1.
% 198.39/28.35  | | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | |   (163)   ~ (all_884_1 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | REDUCE: (158), (163) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | | |   (164)  $false
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | |   (165)   ~ (all_756_1 = 0) |  ~ (all_756_2 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | |   (166)   ~ (all_756_1 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (140), (166) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (167)  $false
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | |   (168)   ~ (all_756_2 = 0)
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | REDUCE: (139), (168) imply:
% 198.39/28.35  | | | | | | | | | | | | | | | |   (169)  $false
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | End of split
% 198.39/28.35  | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | |   (170)  $i(all_129_1)
% 198.39/28.35  | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | BETA: splitting (41) gives:
% 198.39/28.35  | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | Case 1:
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | |   (171)   ~ $i(all_129_1)
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | PRED_UNIFY: (170), (171) imply:
% 198.39/28.35  | | | | | | | | | | | | | |   (172)  $false
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | Case 2:
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | 
% 198.39/28.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_139_0, simplifying
% 198.39/28.35  | | | | | | | | | | | | | |              with (33), (60) gives:
% 198.43/28.35  | | | | | | | | | | | | | |   (173)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 198.43/28.35  | | | | | | | | | | | | | |          (rearsegP(all_143_1, all_139_0) = v1 &
% 198.43/28.35  | | | | | | | | | | | | | |            rearsegP(all_139_0, all_139_0) = v2 &
% 198.43/28.35  | | | | | | | | | | | | | |            ssList(all_139_0) = v0 & ( ~ (v2 = 0) |  ~ (v1 =
% 198.43/28.35  | | | | | | | | | | | | | |                0) |  ~ (v0 = 0)))
% 198.43/28.35  | | | | | | | | | | | | | | 
% 198.43/28.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (50) with all_143_1, simplifying
% 198.43/28.35  | | | | | | | | | | | | | |              with (17), (51) gives:
% 198.43/28.35  | | | | | | | | | | | | | |   (174)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 198.43/28.35  | | | | | | | | | | | | | |          (rearsegP(all_143_1, all_143_1) = v1 &
% 198.43/28.35  | | | | | | | | | | | | | |            rearsegP(all_139_0, all_143_1) = v2 &
% 198.43/28.35  | | | | | | | | | | | | | |            ssList(all_143_1) = v0 & ( ~ (v2 = 0) |  ~ (v1 =
% 198.43/28.35  | | | | | | | | | | | | | |                0) |  ~ (v0 = 0)))
% 198.43/28.35  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_139_0, simplifying
% 198.43/28.36  | | | | | | | | | | | | | |              with (33), (59) gives:
% 198.43/28.36  | | | | | | | | | | | | | |   (175)  all_143_1 = all_139_0 |  ? [v0: any] :  ? [v1:
% 198.43/28.36  | | | | | | | | | | | | | |            any] : (rearsegP(all_139_0, all_143_1) = v1 &
% 198.43/28.36  | | | | | | | | | | | | | |            ssList(all_139_0) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 198.43/28.36  | | | | | | | | | | | | | |                0)))
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | DELTA: instantiating (174) with fresh symbols all_766_0,
% 198.43/28.36  | | | | | | | | | | | | | |        all_766_1, all_766_2 gives:
% 198.43/28.36  | | | | | | | | | | | | | |   (176)  rearsegP(all_143_1, all_143_1) = all_766_1 &
% 198.43/28.36  | | | | | | | | | | | | | |          rearsegP(all_139_0, all_143_1) = all_766_0 &
% 198.43/28.36  | | | | | | | | | | | | | |          ssList(all_143_1) = all_766_2 & ( ~ (all_766_0 =
% 198.43/28.36  | | | | | | | | | | | | | |              0) |  ~ (all_766_1 = 0) |  ~ (all_766_2 = 0))
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | ALPHA: (176) implies:
% 198.43/28.36  | | | | | | | | | | | | | |   (177)  rearsegP(all_139_0, all_143_1) = all_766_0
% 198.43/28.36  | | | | | | | | | | | | | |   (178)  rearsegP(all_143_1, all_143_1) = all_766_1
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | DELTA: instantiating (173) with fresh symbols all_768_0,
% 198.43/28.36  | | | | | | | | | | | | | |        all_768_1, all_768_2 gives:
% 198.43/28.36  | | | | | | | | | | | | | |   (179)  rearsegP(all_143_1, all_139_0) = all_768_1 &
% 198.43/28.36  | | | | | | | | | | | | | |          rearsegP(all_139_0, all_139_0) = all_768_0 &
% 198.43/28.36  | | | | | | | | | | | | | |          ssList(all_139_0) = all_768_2 & ( ~ (all_768_0 =
% 198.43/28.36  | | | | | | | | | | | | | |              0) |  ~ (all_768_1 = 0) |  ~ (all_768_2 = 0))
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | ALPHA: (179) implies:
% 198.43/28.36  | | | | | | | | | | | | | |   (180)  ssList(all_139_0) = all_768_2
% 198.43/28.36  | | | | | | | | | | | | | |   (181)  rearsegP(all_139_0, all_139_0) = all_768_0
% 198.43/28.36  | | | | | | | | | | | | | |   (182)  rearsegP(all_143_1, all_139_0) = all_768_1
% 198.43/28.36  | | | | | | | | | | | | | |   (183)   ~ (all_768_0 = 0) |  ~ (all_768_1 = 0) |  ~
% 198.43/28.36  | | | | | | | | | | | | | |          (all_768_2 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_768_2, all_139_0,
% 198.43/28.36  | | | | | | | | | | | | | |              simplifying with (31), (180) gives:
% 198.43/28.36  | | | | | | | | | | | | | |   (184)  all_768_2 = 0
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_768_1, all_139_0,
% 198.43/28.36  | | | | | | | | | | | | | |              all_143_1, simplifying with (59), (182) gives:
% 198.43/28.36  | | | | | | | | | | | | | |   (185)  all_768_1 = 0
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | Case 1:
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | |   (186)   ~ (all_768_0 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | Case 1:
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | |   (187)  all_143_1 = all_139_0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (178), (187) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (188)  rearsegP(all_139_0, all_139_0) = all_766_1
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (59), (187) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (189)  rearsegP(all_139_0, all_139_0) = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (177), (187) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (190)  rearsegP(all_139_0, all_139_0) = all_766_0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_768_0, 0, all_139_0,
% 198.43/28.36  | | | | | | | | | | | | | | | |              all_139_0, simplifying with (181), (189) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (191)  all_768_0 = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_768_0, all_766_1,
% 198.43/28.36  | | | | | | | | | | | | | | | |              all_139_0, all_139_0, simplifying with (181),
% 198.43/28.36  | | | | | | | | | | | | | | | |              (188) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (192)  all_768_0 = all_766_1
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_768_0, all_766_0,
% 198.43/28.36  | | | | | | | | | | | | | | | |              all_139_0, all_139_0, simplifying with (181),
% 198.43/28.36  | | | | | | | | | | | | | | | |              (190) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (193)  all_768_0 = all_766_0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (193) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (194)  all_766_0 = all_766_1
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (193) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (195)  all_766_0 = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (195) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (196)  all_766_1 = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (186), (191) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (197)  $false
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | |   (198)   ? [v0: any] :  ? [v1: any] : (rearsegP(all_139_0,
% 198.43/28.36  | | | | | | | | | | | | | | | |              all_143_1) = v1 & ssList(all_139_0) = v0 & ( ~
% 198.43/28.36  | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | DELTA: instantiating (198) with fresh symbols all_913_0,
% 198.43/28.36  | | | | | | | | | | | | | | | |        all_913_1 gives:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (199)  rearsegP(all_139_0, all_143_1) = all_913_0 &
% 198.43/28.36  | | | | | | | | | | | | | | | |          ssList(all_139_0) = all_913_1 & ( ~ (all_913_0 =
% 198.43/28.36  | | | | | | | | | | | | | | | |              0) |  ~ (all_913_1 = 0))
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (200)  ssList(all_139_0) = all_913_1
% 198.43/28.36  | | | | | | | | | | | | | | | |   (201)   ~ (all_913_0 = 0) |  ~ (all_913_1 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_913_1, all_139_0,
% 198.43/28.36  | | | | | | | | | | | | | | | |              simplifying with (31), (200) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (202)  all_913_1 = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | Case 1:
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (ax49) with all_139_0, all_768_0,
% 198.43/28.36  | | | | | | | | | | | | | | | | |              simplifying with (33), (181) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | | |   (203)  all_768_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 198.43/28.36  | | | | | | | | | | | | | | | | |            ssList(all_139_0) = v0)
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | Case 1:
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | |   (204)  all_768_0 = 0
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | | REDUCE: (186), (204) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | | | |   (205)  $false
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | |   (206)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) =
% 198.43/28.36  | | | | | | | | | | | | | | | | | |            v0)
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (31), (206) are inconsistent by sub-proof #1.
% 198.43/28.36  | | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | |   (207)   ~ (all_913_1 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | REDUCE: (202), (207) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | | |   (208)  $false
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 198.43/28.36  | | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | |   (209)   ~ (all_768_1 = 0) |  ~ (all_768_2 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | Case 1:
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | |   (210)   ~ (all_768_1 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (185), (210) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (211)  $false
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | |   (212)   ~ (all_768_2 = 0)
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | REDUCE: (184), (212) imply:
% 198.43/28.36  | | | | | | | | | | | | | | | |   (213)  $false
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 198.43/28.36  | | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | | End of split
% 198.43/28.36  | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | Case 2:
% 198.43/28.36  | | | | | | | | | | 
% 198.43/28.36  | | | | | | | | | |   (214)   ~ (all_145_0 = 0)
% 198.43/28.36  | | | | | | | | | | 
% 198.43/28.37  | | | | | | | | | | REDUCE: (57), (214) imply:
% 198.43/28.37  | | | | | | | | | |   (215)  $false
% 198.43/28.37  | | | | | | | | | | 
% 198.43/28.37  | | | | | | | | | | CLOSE: (215) is inconsistent.
% 198.43/28.37  | | | | | | | | | | 
% 198.43/28.37  | | | | | | | | | End of split
% 198.43/28.37  | | | | | | | | | 
% 198.43/28.37  | | | | | | | | End of split
% 198.43/28.37  | | | | | | | | 
% 198.43/28.37  | | | | | | | End of split
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | End of split
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | Case 2:
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | |   (216)  all_143_1 = nil & all_139_0 = nil
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | ALPHA: (216) implies:
% 198.43/28.37  | | | | | |   (217)  all_143_1 = nil
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | REDUCE: (55), (217) imply:
% 198.43/28.37  | | | | | |   (218)  $false
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | CLOSE: (218) is inconsistent.
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | End of split
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | Case 2:
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | |   (219)   ~ (all_143_0 = 0)
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | REDUCE: (49), (219) imply:
% 198.43/28.37  | | | | |   (220)  $false
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | CLOSE: (220) is inconsistent.
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | End of split
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | End of split
% 198.43/28.37  | | | 
% 198.43/28.37  | | Case 2:
% 198.43/28.37  | | | 
% 198.43/28.37  | | |   (221)  all_143_1 = nil &  ~ (all_139_0 = nil)
% 198.43/28.37  | | | 
% 198.43/28.37  | | | ALPHA: (221) implies:
% 198.43/28.37  | | |   (222)  all_143_1 = nil
% 198.43/28.37  | | |   (223)   ~ (all_139_0 = nil)
% 198.43/28.37  | | | 
% 198.43/28.37  | | | BETA: splitting (30) gives:
% 198.43/28.37  | | | 
% 198.43/28.37  | | | Case 1:
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | |   (224)  all_147_0 = 0 & all_145_0 = 0
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | ALPHA: (224) implies:
% 198.43/28.37  | | | |   (225)  all_147_0 = 0
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | BETA: splitting (44) gives:
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | Case 1:
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | |   (226)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0)
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | REF_CLOSE: (9), (31), (226) are inconsistent by sub-proof #1.
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | Case 2:
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | |   (227)  ( ~ (all_147_0 = 0) |  ? [v0: $i] : (ssList(v0) = 0 & app(v0,
% 198.43/28.37  | | | | |                all_139_0) = all_143_1 & $i(v0))) & (all_147_0 = 0 |  !
% 198.43/28.37  | | | | |            [v0: $i] : ( ~ (app(v0, all_139_0) = all_143_1) |  ~ $i(v0)
% 198.43/28.37  | | | | |              |  ? [v1: int] : ( ~ (v1 = 0) & ssList(v0) = v1)))
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | ALPHA: (227) implies:
% 198.43/28.37  | | | | |   (228)   ~ (all_147_0 = 0) |  ? [v0: $i] : (ssList(v0) = 0 & app(v0,
% 198.43/28.37  | | | | |              all_139_0) = all_143_1 & $i(v0))
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | BETA: splitting (228) gives:
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | | Case 1:
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | |   (229)   ~ (all_147_0 = 0)
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | REDUCE: (225), (229) imply:
% 198.43/28.37  | | | | | |   (230)  $false
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | CLOSE: (230) is inconsistent.
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | Case 2:
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | |   (231)   ? [v0: $i] : (ssList(v0) = 0 & app(v0, all_139_0) =
% 198.43/28.37  | | | | | |            all_143_1 & $i(v0))
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | DELTA: instantiating (231) with fresh symbol all_370_0 gives:
% 198.43/28.37  | | | | | |   (232)  ssList(all_370_0) = 0 & app(all_370_0, all_139_0) =
% 198.43/28.37  | | | | | |          all_143_1 & $i(all_370_0)
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | ALPHA: (232) implies:
% 198.43/28.37  | | | | | |   (233)  $i(all_370_0)
% 198.43/28.37  | | | | | |   (234)  app(all_370_0, all_139_0) = all_143_1
% 198.43/28.37  | | | | | |   (235)  ssList(all_370_0) = 0
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | REDUCE: (222), (234) imply:
% 198.43/28.37  | | | | | |   (236)  app(all_370_0, all_139_0) = nil
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | GROUND_INST: instantiating (5) with all_370_0, simplifying with
% 198.43/28.37  | | | | | |              (233), (235) gives:
% 198.43/28.37  | | | | | |   (237)   ! [v0: $i] :  ! [v1: $i] : ( ~ (app(all_370_0, v0) = v1) |
% 198.43/28.37  | | | | | |             ~ $i(v0) |  ? [v2: int] : ( ~ (v2 = 0) & ssList(v0) =
% 198.43/28.37  | | | | | |              v2) | (( ~ (v1 = nil) | (v0 = nil & all_370_0 = nil)) &
% 198.43/28.37  | | | | | |              ( ~ (v0 = nil) |  ~ (all_370_0 = nil) | v1 = nil)))
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | GROUND_INST: instantiating (237) with all_139_0, nil, simplifying
% 198.43/28.37  | | | | | |              with (33), (236) gives:
% 198.43/28.37  | | | | | |   (238)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0) |
% 198.43/28.37  | | | | | |          (all_370_0 = nil & all_139_0 = nil)
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | BETA: splitting (238) gives:
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | | Case 1:
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | |   (239)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0)
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | | REF_CLOSE: (9), (31), (239) are inconsistent by sub-proof #1.
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | Case 2:
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | |   (240)  all_370_0 = nil & all_139_0 = nil
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | | ALPHA: (240) implies:
% 198.43/28.37  | | | | | | |   (241)  all_139_0 = nil
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | | REDUCE: (223), (241) imply:
% 198.43/28.37  | | | | | | |   (242)  $false
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | | CLOSE: (242) is inconsistent.
% 198.43/28.37  | | | | | | | 
% 198.43/28.37  | | | | | | End of split
% 198.43/28.37  | | | | | | 
% 198.43/28.37  | | | | | End of split
% 198.43/28.37  | | | | | 
% 198.43/28.37  | | | | End of split
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | Case 2:
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | |   (243)  all_143_1 = nil & all_139_0 = nil
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | ALPHA: (243) implies:
% 198.43/28.37  | | | |   (244)  all_139_0 = nil
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | REDUCE: (223), (244) imply:
% 198.43/28.37  | | | |   (245)  $false
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | | CLOSE: (245) is inconsistent.
% 198.43/28.37  | | | | 
% 198.43/28.37  | | | End of split
% 198.43/28.37  | | | 
% 198.43/28.37  | | End of split
% 198.43/28.37  | | 
% 198.43/28.37  | End of split
% 198.43/28.37  | 
% 198.43/28.37  End of proof
% 198.43/28.37  
% 198.43/28.37  Sub-proof #1 shows that the following formulas are inconsistent:
% 198.43/28.37  ----------------------------------------------------------------
% 198.43/28.37    (1)   ? [v0: int] : ( ~ (v0 = 0) & ssList(all_139_0) = v0)
% 198.43/28.37    (2)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 198.43/28.37         (v1 = v0 |  ~ (ssList(v2) = v1) |  ~ (ssList(v2) = v0))
% 198.43/28.37    (3)  ssList(all_139_0) = 0
% 198.43/28.37  
% 198.43/28.37  Begin of proof
% 198.43/28.37  | 
% 198.43/28.37  | DELTA: instantiating (1) with fresh symbol all_867_0 gives:
% 198.43/28.37  |   (4)   ~ (all_867_0 = 0) & ssList(all_139_0) = all_867_0
% 198.43/28.37  | 
% 198.43/28.37  | ALPHA: (4) implies:
% 198.43/28.37  |   (5)   ~ (all_867_0 = 0)
% 198.43/28.37  |   (6)  ssList(all_139_0) = all_867_0
% 198.43/28.37  | 
% 198.43/28.37  | GROUND_INST: instantiating (2) with 0, all_867_0, all_139_0, simplifying with
% 198.43/28.37  |              (3), (6) gives:
% 198.43/28.37  |   (7)  all_867_0 = 0
% 198.43/28.37  | 
% 198.43/28.37  | REDUCE: (5), (7) imply:
% 198.43/28.37  |   (8)  $false
% 198.43/28.37  | 
% 198.43/28.37  | CLOSE: (8) is inconsistent.
% 198.43/28.37  | 
% 198.43/28.37  End of proof
% 198.43/28.37  
% 198.43/28.37  Sub-proof #2 shows that the following formulas are inconsistent:
% 198.43/28.37  ----------------------------------------------------------------
% 198.43/28.37    (1)   ? [v0: int] : ( ~ (v0 = 0) & ssList(nil) = v0)
% 198.43/28.38    (2)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 198.43/28.38         (v1 = v0 |  ~ (ssList(v2) = v1) |  ~ (ssList(v2) = v0))
% 198.43/28.38    (3)  ssList(nil) = 0
% 198.43/28.38  
% 198.43/28.38  Begin of proof
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_304_0 gives:
% 198.43/28.38  |   (4)   ~ (all_304_0 = 0) & ssList(nil) = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (4) implies:
% 198.43/28.38  |   (5)   ~ (all_304_0 = 0)
% 198.43/28.38  |   (6)  ssList(nil) = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_306_0 gives:
% 198.43/28.38  |   (7)   ~ (all_306_0 = 0) & ssList(nil) = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (7) implies:
% 198.43/28.38  |   (8)  ssList(nil) = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_308_0 gives:
% 198.43/28.38  |   (9)   ~ (all_308_0 = 0) & ssList(nil) = all_308_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (9) implies:
% 198.43/28.38  |   (10)  ssList(nil) = all_308_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_310_0 gives:
% 198.43/28.38  |   (11)   ~ (all_310_0 = 0) & ssList(nil) = all_310_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (11) implies:
% 198.43/28.38  |   (12)  ssList(nil) = all_310_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_312_0 gives:
% 198.43/28.38  |   (13)   ~ (all_312_0 = 0) & ssList(nil) = all_312_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (13) implies:
% 198.43/28.38  |   (14)  ssList(nil) = all_312_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_314_0 gives:
% 198.43/28.38  |   (15)   ~ (all_314_0 = 0) & ssList(nil) = all_314_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (15) implies:
% 198.43/28.38  |   (16)  ssList(nil) = all_314_0
% 198.43/28.38  | 
% 198.43/28.38  | DELTA: instantiating (1) with fresh symbol all_316_0 gives:
% 198.43/28.38  |   (17)   ~ (all_316_0 = 0) & ssList(nil) = all_316_0
% 198.43/28.38  | 
% 198.43/28.38  | ALPHA: (17) implies:
% 198.43/28.38  |   (18)  ssList(nil) = all_316_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with 0, all_312_0, nil, simplifying with (3),
% 198.43/28.38  |              (14) gives:
% 198.43/28.38  |   (19)  all_312_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_308_0, all_312_0, nil, simplifying
% 198.43/28.38  |              with (10), (14) gives:
% 198.43/28.38  |   (20)  all_312_0 = all_308_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_310_0, all_314_0, nil, simplifying
% 198.43/28.38  |              with (12), (16) gives:
% 198.43/28.38  |   (21)  all_314_0 = all_310_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_308_0, all_314_0, nil, simplifying
% 198.43/28.38  |              with (10), (16) gives:
% 198.43/28.38  |   (22)  all_314_0 = all_308_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_306_0, all_314_0, nil, simplifying
% 198.43/28.38  |              with (8), (16) gives:
% 198.43/28.38  |   (23)  all_314_0 = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_310_0, all_316_0, nil, simplifying
% 198.43/28.38  |              with (12), (18) gives:
% 198.43/28.38  |   (24)  all_316_0 = all_310_0
% 198.43/28.38  | 
% 198.43/28.38  | GROUND_INST: instantiating (2) with all_304_0, all_316_0, nil, simplifying
% 198.43/28.38  |              with (6), (18) gives:
% 198.43/28.38  |   (25)  all_316_0 = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (24), (25) imply:
% 198.43/28.38  |   (26)  all_310_0 = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (26) implies:
% 198.43/28.38  |   (27)  all_310_0 = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (22), (23) imply:
% 198.43/28.38  |   (28)  all_308_0 = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (28) implies:
% 198.43/28.38  |   (29)  all_308_0 = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (21), (23) imply:
% 198.43/28.38  |   (30)  all_310_0 = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (30) implies:
% 198.43/28.38  |   (31)  all_310_0 = all_306_0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (19), (20) imply:
% 198.43/28.38  |   (32)  all_308_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (32) implies:
% 198.43/28.38  |   (33)  all_308_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (27), (31) imply:
% 198.43/28.38  |   (34)  all_306_0 = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (34) implies:
% 198.43/28.38  |   (35)  all_306_0 = all_304_0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (29), (33) imply:
% 198.43/28.38  |   (36)  all_306_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (36) implies:
% 198.43/28.38  |   (37)  all_306_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | COMBINE_EQS: (35), (37) imply:
% 198.43/28.38  |   (38)  all_304_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | SIMP: (38) implies:
% 198.43/28.38  |   (39)  all_304_0 = 0
% 198.43/28.38  | 
% 198.43/28.38  | REDUCE: (5), (39) imply:
% 198.43/28.38  |   (40)  $false
% 198.43/28.38  | 
% 198.43/28.38  | CLOSE: (40) is inconsistent.
% 198.43/28.38  | 
% 198.43/28.38  End of proof
% 198.43/28.38  % SZS output end Proof for theBenchmark
% 198.43/28.38  
% 198.43/28.38  27773ms
%------------------------------------------------------------------------------