TSTP Solution File: SWC364+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWC364+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 : n005.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 20:51:03 EDT 2023

% Result   : Theorem 88.30s 17.79s
% Output   : Proof 88.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC364+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:54:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.60  ________       _____
% 0.19/0.60  ___  __ \_________(_)________________________________
% 0.19/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60  
% 0.19/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60  (2023-06-19)
% 0.19/0.60  
% 0.19/0.60  (c) Philipp Rümmer, 2009-2023
% 0.19/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60                Amanda Stjerna.
% 0.19/0.60  Free software under BSD-3-Clause.
% 0.19/0.60  
% 0.19/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60  
% 0.19/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.46/1.65  Prover 1: Preprocessing ...
% 4.46/1.66  Prover 4: Preprocessing ...
% 4.46/1.69  Prover 6: Preprocessing ...
% 4.46/1.69  Prover 2: Preprocessing ...
% 4.46/1.69  Prover 0: Preprocessing ...
% 4.46/1.69  Prover 3: Preprocessing ...
% 4.82/1.72  Prover 5: Preprocessing ...
% 13.98/3.59  Prover 2: Proving ...
% 14.18/3.64  Prover 5: Constructing countermodel ...
% 14.18/3.73  Prover 1: Constructing countermodel ...
% 14.18/3.74  Prover 6: Proving ...
% 14.48/3.79  Prover 3: Constructing countermodel ...
% 20.63/4.96  Prover 4: Constructing countermodel ...
% 22.16/5.32  Prover 0: Proving ...
% 56.61/11.96  Prover 2: stopped
% 56.61/11.98  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 58.18/12.19  Prover 7: Preprocessing ...
% 59.92/12.48  Prover 7: Constructing countermodel ...
% 67.39/14.00  Prover 5: stopped
% 67.39/14.02  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 68.81/14.17  Prover 8: Preprocessing ...
% 68.81/14.18  Prover 3: gave up
% 68.81/14.20  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 69.65/14.33  Prover 9: Preprocessing ...
% 70.74/14.66  Prover 8: Warning: ignoring some quantifiers
% 71.31/14.68  Prover 8: Constructing countermodel ...
% 77.54/15.92  Prover 9: Constructing countermodel ...
% 77.54/15.99  Prover 1: stopped
% 77.89/16.00  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 78.64/16.12  Prover 10: Preprocessing ...
% 79.57/16.30  Prover 10: Constructing countermodel ...
% 88.30/17.77  Prover 10: Found proof (size 31)
% 88.30/17.77  Prover 10: proved (1770ms)
% 88.30/17.77  Prover 0: stopped
% 88.30/17.77  Prover 7: stopped
% 88.30/17.77  Prover 9: stopped
% 88.30/17.78  Prover 8: stopped
% 88.30/17.78  Prover 6: stopped
% 88.30/17.78  Prover 4: stopped
% 88.30/17.78  
% 88.30/17.79  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 88.30/17.79  
% 88.30/17.79  % SZS output start Proof for theBenchmark
% 88.52/17.80  Assumptions after simplification:
% 88.52/17.80  ---------------------------------
% 88.52/17.80  
% 88.52/17.80    (ax1)
% 88.52/17.81     ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ $i(v1) |  ~ $i(v0) |  ~ ssItem(v1) |
% 88.52/17.81       ~ ssItem(v0) | neq(v0, v1)) &  ! [v0: $i] : ( ~ $i(v0) |  ~ neq(v0, v0) | 
% 88.52/17.81      ~ ssItem(v0))
% 88.52/17.81  
% 88.52/17.81    (ax16)
% 88.71/17.85     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (cons(v1, v0) = v2) |  ~ $i(v1)
% 88.71/17.85      |  ~ $i(v0) |  ~ ssList(v0) |  ~ ssItem(v1) | ssList(v2))
% 88.71/17.85  
% 88.71/17.85    (ax17)
% 88.71/17.85    $i(nil) & ssList(nil)
% 88.71/17.85  
% 88.71/17.85    (ax2)
% 88.71/17.85     ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) & $i(v1) & $i(v0) & ssItem(v1) &
% 88.71/17.85      ssItem(v0))
% 88.71/17.85  
% 88.71/17.85    (ax42)
% 88.71/17.85     ! [v0: $i] : ( ~ $i(v0) |  ~ ssList(v0) | frontsegP(v0, v0))
% 88.71/17.85  
% 88.71/17.85    (ax5)
% 88.71/17.86     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (app(v1, v2) = v0) |  ~ $i(v2) |
% 88.71/17.86       ~ $i(v1) |  ~ $i(v0) |  ~ ssList(v2) |  ~ ssList(v1) |  ~ ssList(v0) |
% 88.71/17.86      frontsegP(v0, v1)) &  ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~
% 88.71/17.86      frontsegP(v0, v1) |  ~ ssList(v1) |  ~ ssList(v0) |  ? [v2: $i] : (app(v1,
% 88.71/17.86          v2) = v0 & $i(v2) & ssList(v2)))
% 88.71/17.86  
% 88.71/17.86    (ax58)
% 88.71/17.86    $i(nil) &  ! [v0: $i] : (v0 = nil |  ~ $i(v0) |  ~ segmentP(nil, v0) |  ~
% 88.71/17.86      ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil))
% 88.71/17.86  
% 88.71/17.86    (ax7)
% 88.71/17.86     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 88.71/17.86      (app(v3, v4) = v0) |  ~ (app(v2, v1) = v3) |  ~ $i(v4) |  ~ $i(v2) |  ~
% 88.71/17.86      $i(v1) |  ~ $i(v0) |  ~ ssList(v4) |  ~ ssList(v2) |  ~ ssList(v1) |  ~
% 88.71/17.86      ssList(v0) | segmentP(v0, v1)) &  ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~
% 88.71/17.86      $i(v0) |  ~ segmentP(v0, v1) |  ~ ssList(v1) |  ~ ssList(v0) |  ? [v2: $i] :
% 88.71/17.86       ? [v3: $i] :  ? [v4: $i] : (app(v3, v4) = v0 & app(v2, v1) = v3 & $i(v4) &
% 88.71/17.86        $i(v3) & $i(v2) & ssList(v4) & ssList(v2)))
% 88.71/17.86  
% 88.71/17.86    (ax81)
% 88.71/17.87    $i(nil) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 88.71/17.87      (cons(v1, nil) = v2) |  ~ (app(v2, v0) = v3) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 88.71/17.87      ssList(v0) |  ~ ssItem(v1) | (cons(v1, v0) = v3 & $i(v3)))
% 88.71/17.87  
% 88.71/17.87    (co1)
% 88.71/17.87    $i(nil) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (cons(v2,
% 88.71/17.87        nil) = v3 & app(v3, v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 88.71/17.87      ssList(v1) & ssList(v0) & neq(v1, nil) & ssItem(v2) &  ~ segmentP(v1, v0))
% 88.71/17.87  
% 88.71/17.87  Further assumptions not needed in the proof:
% 88.71/17.87  --------------------------------------------
% 88.71/17.87  ax10, ax11, ax12, ax13, ax14, ax15, ax18, ax19, ax20, ax21, ax22, ax23, ax24,
% 88.71/17.87  ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35, ax36,
% 88.71/17.87  ax37, ax38, ax39, ax4, ax40, ax41, ax43, ax44, ax45, ax46, ax47, ax48, ax49,
% 88.71/17.87  ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax59, ax6, ax60, ax61, ax62,
% 88.71/17.87  ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax70, ax71, ax72, ax73, ax74, ax75,
% 88.71/17.87  ax76, ax77, ax78, ax79, ax8, ax80, ax82, ax83, ax84, ax85, ax86, ax87, ax88,
% 88.71/17.87  ax89, ax9, ax90, ax91, ax92, ax93, ax94, ax95
% 88.71/17.87  
% 88.71/17.87  Those formulas are unsatisfiable:
% 88.71/17.87  ---------------------------------
% 88.71/17.87  
% 88.71/17.87  Begin of proof
% 88.71/17.87  | 
% 88.71/17.87  | ALPHA: (ax1) implies:
% 88.71/17.87  |   (1)   ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ $i(v1) |  ~ $i(v0) |  ~
% 88.71/17.87  |          ssItem(v1) |  ~ ssItem(v0) | neq(v0, v1))
% 88.71/17.87  | 
% 88.71/17.87  | ALPHA: (ax5) implies:
% 88.71/17.87  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ frontsegP(v0,
% 88.71/17.87  |            v1) |  ~ ssList(v1) |  ~ ssList(v0) |  ? [v2: $i] : (app(v1, v2) =
% 88.71/17.87  |            v0 & $i(v2) & ssList(v2)))
% 88.71/17.88  | 
% 88.71/17.88  | ALPHA: (ax7) implies:
% 88.71/17.88  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (
% 88.71/17.88  |          ~ (app(v3, v4) = v0) |  ~ (app(v2, v1) = v3) |  ~ $i(v4) |  ~ $i(v2)
% 88.71/17.88  |          |  ~ $i(v1) |  ~ $i(v0) |  ~ ssList(v4) |  ~ ssList(v2) |  ~
% 88.71/17.88  |          ssList(v1) |  ~ ssList(v0) | segmentP(v0, v1))
% 88.71/17.88  | 
% 88.71/17.88  | ALPHA: (ax17) implies:
% 88.71/17.88  |   (4)  ssList(nil)
% 88.71/17.88  | 
% 88.71/17.88  | ALPHA: (ax58) implies:
% 88.71/17.88  |   (5)   ~ ssList(nil) | segmentP(nil, nil)
% 88.71/17.88  | 
% 88.71/17.88  | ALPHA: (ax81) implies:
% 88.71/17.88  |   (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~ (cons(v1,
% 88.71/17.88  |              nil) = v2) |  ~ (app(v2, v0) = v3) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 88.71/17.88  |          ssList(v0) |  ~ ssItem(v1) | (cons(v1, v0) = v3 & $i(v3)))
% 88.71/17.88  | 
% 88.71/17.88  | ALPHA: (co1) implies:
% 88.71/17.88  |   (7)  $i(nil)
% 88.71/17.88  |   (8)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (cons(v2, nil)
% 88.71/17.88  |          = v3 & app(v3, v0) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 88.71/17.88  |          ssList(v1) & ssList(v0) & neq(v1, nil) & ssItem(v2) &  ~ segmentP(v1,
% 88.71/17.88  |            v0))
% 88.71/17.88  | 
% 88.71/17.89  | DELTA: instantiating (ax2) with fresh symbols all_89_0, all_89_1 gives:
% 88.71/17.89  |   (9)   ~ (all_89_0 = all_89_1) & $i(all_89_0) & $i(all_89_1) &
% 88.71/17.89  |        ssItem(all_89_0) & ssItem(all_89_1)
% 88.71/17.89  | 
% 88.71/17.89  | ALPHA: (9) implies:
% 88.71/17.89  |   (10)   ~ (all_89_0 = all_89_1)
% 88.71/17.89  |   (11)  ssItem(all_89_1)
% 88.71/17.89  |   (12)  ssItem(all_89_0)
% 88.71/17.89  |   (13)  $i(all_89_1)
% 88.71/17.89  |   (14)  $i(all_89_0)
% 88.71/17.89  | 
% 88.71/17.89  | DELTA: instantiating (8) with fresh symbols all_91_0, all_91_1, all_91_2,
% 88.71/17.89  |        all_91_3 gives:
% 88.71/17.89  |   (15)  cons(all_91_1, nil) = all_91_0 & app(all_91_0, all_91_3) = all_91_2 &
% 88.71/17.89  |         $i(all_91_0) & $i(all_91_1) & $i(all_91_2) & $i(all_91_3) &
% 88.71/17.89  |         ssList(all_91_2) & ssList(all_91_3) & neq(all_91_2, nil) &
% 88.71/17.89  |         ssItem(all_91_1) &  ~ segmentP(all_91_2, all_91_3)
% 88.71/17.89  | 
% 88.71/17.89  | ALPHA: (15) implies:
% 88.71/17.89  |   (16)   ~ segmentP(all_91_2, all_91_3)
% 88.71/17.89  |   (17)  ssItem(all_91_1)
% 88.71/17.89  |   (18)  ssList(all_91_3)
% 88.71/17.89  |   (19)  ssList(all_91_2)
% 88.71/17.89  |   (20)  $i(all_91_3)
% 88.71/17.89  |   (21)  $i(all_91_2)
% 88.71/17.89  |   (22)  $i(all_91_1)
% 88.71/17.89  |   (23)  $i(all_91_0)
% 88.71/17.89  |   (24)  app(all_91_0, all_91_3) = all_91_2
% 88.71/17.89  |   (25)  cons(all_91_1, nil) = all_91_0
% 88.71/17.89  | 
% 88.71/17.89  | BETA: splitting (5) gives:
% 88.71/17.89  | 
% 88.71/17.89  | Case 1:
% 88.71/17.89  | | 
% 88.71/17.89  | |   (26)   ~ ssList(nil)
% 88.71/17.89  | | 
% 88.71/17.89  | | PRED_UNIFY: (4), (26) imply:
% 88.71/17.89  | |   (27)  $false
% 88.71/17.90  | | 
% 88.71/17.90  | | CLOSE: (27) is inconsistent.
% 88.71/17.90  | | 
% 88.71/17.90  | Case 2:
% 88.71/17.90  | | 
% 88.71/17.90  | | 
% 88.71/17.90  | | GROUND_INST: instantiating (1) with all_89_1, all_89_0, simplifying with
% 88.71/17.90  | |              (11), (12), (13), (14) gives:
% 88.71/17.90  | |   (28)  all_89_0 = all_89_1 | neq(all_89_1, all_89_0)
% 88.71/17.90  | | 
% 88.71/17.90  | | GROUND_INST: instantiating (ax42) with all_91_2, simplifying with (19), (21)
% 88.71/17.90  | |              gives:
% 88.71/17.90  | |   (29)  frontsegP(all_91_2, all_91_2)
% 88.71/17.90  | | 
% 88.71/17.90  | | GROUND_INST: instantiating (ax16) with nil, all_91_1, all_91_0, simplifying
% 88.71/17.90  | |              with (4), (7), (17), (22), (25) gives:
% 88.71/17.90  | |   (30)  ssList(all_91_0)
% 88.71/17.90  | | 
% 88.71/17.90  | | GROUND_INST: instantiating (6) with all_91_3, all_91_1, all_91_0, all_91_2,
% 88.71/17.90  | |              simplifying with (17), (18), (20), (22), (24), (25) gives:
% 88.71/17.90  | |   (31)  cons(all_91_1, all_91_3) = all_91_2 & $i(all_91_2)
% 88.71/17.90  | | 
% 88.71/17.90  | | BETA: splitting (28) gives:
% 88.71/17.90  | | 
% 88.71/17.90  | | Case 1:
% 88.71/17.90  | | | 
% 88.71/17.90  | | | 
% 88.71/17.90  | | | GROUND_INST: instantiating (2) with all_91_2, all_91_2, simplifying with
% 88.71/17.90  | | |              (19), (21), (29) gives:
% 88.71/17.90  | | |   (32)   ? [v0: $i] : (app(all_91_2, v0) = all_91_2 & $i(v0) & ssList(v0))
% 88.71/17.90  | | | 
% 88.71/17.90  | | | DELTA: instantiating (32) with fresh symbol all_141_0 gives:
% 88.71/17.90  | | |   (33)  app(all_91_2, all_141_0) = all_91_2 & $i(all_141_0) &
% 88.71/17.90  | | |         ssList(all_141_0)
% 88.71/17.90  | | | 
% 88.71/17.90  | | | ALPHA: (33) implies:
% 88.71/17.90  | | |   (34)  ssList(all_141_0)
% 88.71/17.90  | | |   (35)  $i(all_141_0)
% 88.71/17.91  | | |   (36)  app(all_91_2, all_141_0) = all_91_2
% 88.71/17.91  | | | 
% 88.71/17.91  | | | GROUND_INST: instantiating (3) with all_91_2, all_91_3, all_91_0,
% 88.71/17.91  | | |              all_91_2, all_141_0, simplifying with (16), (18), (19), (20),
% 88.71/17.91  | | |              (21), (23), (24), (30), (34), (35), (36) gives:
% 88.71/17.91  | | |   (37)  $false
% 88.71/17.91  | | | 
% 88.71/17.91  | | | CLOSE: (37) is inconsistent.
% 88.71/17.91  | | | 
% 88.71/17.91  | | Case 2:
% 88.71/17.91  | | | 
% 88.71/17.91  | | |   (38)  all_89_0 = all_89_1
% 88.71/17.91  | | | 
% 88.71/17.91  | | | REDUCE: (10), (38) imply:
% 88.71/17.91  | | |   (39)  $false
% 88.71/17.91  | | | 
% 88.71/17.91  | | | CLOSE: (39) is inconsistent.
% 88.71/17.91  | | | 
% 88.71/17.91  | | End of split
% 88.71/17.91  | | 
% 88.71/17.91  | End of split
% 88.71/17.91  | 
% 88.71/17.91  End of proof
% 88.71/17.91  % SZS output end Proof for theBenchmark
% 88.71/17.91  
% 88.71/17.91  17305ms
%------------------------------------------------------------------------------