TSTP Solution File: SWC271+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWC271+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 : n002.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 20:50:34 EDT 2023

% Result   : Theorem 136.32s 18.72s
% Output   : Proof 136.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC271+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34  % Computer : n002.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 18:33:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64  Prover 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 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 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.79/1.48  Prover 1: Preprocessing ...
% 4.79/1.49  Prover 4: Preprocessing ...
% 5.44/1.53  Prover 5: Preprocessing ...
% 5.44/1.53  Prover 6: Preprocessing ...
% 5.44/1.53  Prover 2: Preprocessing ...
% 5.44/1.53  Prover 3: Preprocessing ...
% 5.44/1.53  Prover 0: Preprocessing ...
% 14.75/2.83  Prover 2: Proving ...
% 15.46/2.89  Prover 5: Constructing countermodel ...
% 16.10/2.95  Prover 6: Proving ...
% 16.10/2.96  Prover 1: Constructing countermodel ...
% 16.10/2.98  Prover 3: Constructing countermodel ...
% 20.72/3.59  Prover 4: Constructing countermodel ...
% 22.46/3.81  Prover 0: Proving ...
% 72.02/10.31  Prover 2: stopped
% 72.02/10.31  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 74.35/10.55  Prover 7: Preprocessing ...
% 75.86/10.83  Prover 7: Constructing countermodel ...
% 100.48/13.98  Prover 5: stopped
% 100.48/13.98  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 101.42/14.15  Prover 8: Preprocessing ...
% 104.29/14.44  Prover 8: Warning: ignoring some quantifiers
% 104.29/14.45  Prover 8: Constructing countermodel ...
% 116.03/15.97  Prover 1: stopped
% 116.03/15.97  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 116.64/16.07  Prover 9: Preprocessing ...
% 122.04/16.77  Prover 9: Constructing countermodel ...
% 130.45/17.88  Prover 6: stopped
% 130.45/17.88  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 130.94/17.98  Prover 10: Preprocessing ...
% 131.73/18.10  Prover 10: Constructing countermodel ...
% 136.32/18.71  Prover 10: Found proof (size 19)
% 136.32/18.71  Prover 10: proved (827ms)
% 136.32/18.71  Prover 3: stopped
% 136.32/18.71  Prover 9: stopped
% 136.32/18.71  Prover 7: stopped
% 136.32/18.71  Prover 0: stopped
% 136.32/18.71  Prover 8: stopped
% 136.32/18.72  Prover 4: stopped
% 136.32/18.72  
% 136.32/18.72  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 136.32/18.72  
% 136.54/18.72  % SZS output start Proof for theBenchmark
% 136.54/18.73  Assumptions after simplification:
% 136.54/18.73  ---------------------------------
% 136.54/18.73  
% 136.54/18.73    (ax11)
% 136.54/18.76     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 136.54/18.76      $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] : ( ~ (cons(v2, v7) = v8) |  ~
% 136.54/18.76      (cons(v1, v4) = v5) |  ~ (app(v6, v8) = v0) |  ~ (app(v3, v5) = v6) |  ~
% 136.54/18.76      $i(v7) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 136.54/18.76      totalorderedP(v0) |  ~ ssList(v7) |  ~ ssList(v4) |  ~ ssList(v3) |  ~
% 136.54/18.76      ssList(v0) |  ~ ssItem(v2) |  ~ ssItem(v1) | leq(v1, v2)) &  ! [v0: $i] : (
% 136.54/18.76      ~ $i(v0) |  ~ ssList(v0) | totalorderedP(v0) |  ? [v1: $i] :  ? [v2: $i] : 
% 136.54/18.76      ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 136.54/18.76        $i] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3,
% 136.54/18.76          v5) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 136.54/18.76        & $i(v1) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1)
% 136.54/18.76        &  ~ leq(v1, v2)))
% 136.54/18.76  
% 136.54/18.76    (ax12)
% 136.93/18.77     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 136.93/18.77      $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] : ( ~ (cons(v2, v7) = v8) |  ~
% 136.93/18.77      (cons(v1, v4) = v5) |  ~ (app(v6, v8) = v0) |  ~ (app(v3, v5) = v6) |  ~
% 136.93/18.77      $i(v7) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 136.93/18.77      strictorderedP(v0) |  ~ ssList(v7) |  ~ ssList(v4) |  ~ ssList(v3) |  ~
% 136.93/18.77      ssList(v0) |  ~ ssItem(v2) |  ~ ssItem(v1) | lt(v1, v2)) &  ! [v0: $i] : ( ~
% 136.93/18.77      $i(v0) |  ~ ssList(v0) | strictorderedP(v0) |  ? [v1: $i] :  ? [v2: $i] :  ?
% 136.93/18.77      [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 136.93/18.77        $i] : (cons(v2, v7) = v8 & cons(v1, v4) = v5 & app(v6, v8) = v0 & app(v3,
% 136.93/18.77          v5) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 136.93/18.77        & $i(v1) & ssList(v7) & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1)
% 136.93/18.77        &  ~ lt(v1, v2)))
% 136.93/18.77  
% 136.93/18.77    (ax17)
% 136.93/18.77    $i(nil) & ssList(nil)
% 136.93/18.77  
% 136.93/18.77    (ax58)
% 136.93/18.77    $i(nil) &  ! [v0: $i] : (v0 = nil |  ~ $i(v0) |  ~ segmentP(nil, v0) |  ~
% 136.93/18.77      ssList(v0)) & ( ~ ssList(nil) | segmentP(nil, nil))
% 136.93/18.77  
% 136.93/18.77    (ax93)
% 136.93/18.77     ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ $i(v1) |  ~ $i(v0) |  ~ leq(v0, v1)
% 136.93/18.77      |  ~ ssItem(v1) |  ~ ssItem(v0) | lt(v0, v1)) &  ! [v0: $i] :  ! [v1: $i] :
% 136.93/18.77    ( ~ $i(v1) |  ~ $i(v0) |  ~ lt(v0, v1) |  ~ ssItem(v1) |  ~ ssItem(v0) |
% 136.93/18.77      leq(v0, v1)) &  ! [v0: $i] : ( ~ $i(v0) |  ~ lt(v0, v0) |  ~ ssItem(v0))
% 136.93/18.77  
% 136.93/18.77    (co1)
% 136.93/18.77     ? [v0: $i] :  ? [v1: $i] : ($i(v1) & $i(v0) & strictorderedP(v0) &
% 136.93/18.77      frontsegP(v1, v0) & ssList(v1) & ssList(v0) &  ~ totalorderedP(v0) &  ! [v2:
% 136.93/18.77        $i] : ( ~ $i(v2) |  ~ strictorderedP(v2) |  ~ segmentP(v2, v0) |  ~
% 136.93/18.77        frontsegP(v1, v2) |  ~ ssList(v2) |  ~ neq(v0, v2)))
% 136.93/18.77  
% 136.93/18.77  Further assumptions not needed in the proof:
% 136.93/18.77  --------------------------------------------
% 136.93/18.77  ax1, ax10, ax13, ax14, ax15, ax16, ax18, ax19, ax2, ax20, ax21, ax22, ax23,
% 136.93/18.77  ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32, ax33, ax34, ax35,
% 136.93/18.77  ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44, ax45, ax46, ax47,
% 136.93/18.77  ax48, ax49, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57, ax59, ax6,
% 136.93/18.77  ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69, ax7, ax70, ax71,
% 136.93/18.77  ax72, ax73, ax74, ax75, ax76, ax77, ax78, ax79, ax8, ax80, ax81, ax82, ax83,
% 136.93/18.77  ax84, ax85, ax86, ax87, ax88, ax89, ax9, ax90, ax91, ax92, ax94, ax95
% 136.93/18.77  
% 136.93/18.77  Those formulas are unsatisfiable:
% 136.93/18.77  ---------------------------------
% 136.93/18.77  
% 136.93/18.77  Begin of proof
% 136.93/18.77  | 
% 136.93/18.77  | ALPHA: (ax11) implies:
% 136.93/18.78  |   (1)   ! [v0: $i] : ( ~ $i(v0) |  ~ ssList(v0) | totalorderedP(v0) |  ? [v1:
% 136.93/18.78  |            $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ?
% 136.93/18.78  |          [v6: $i] :  ? [v7: $i] :  ? [v8: $i] : (cons(v2, v7) = v8 & cons(v1,
% 136.93/18.78  |              v4) = v5 & app(v6, v8) = v0 & app(v3, v5) = v6 & $i(v8) & $i(v7)
% 136.93/18.78  |            & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & ssList(v7)
% 136.93/18.78  |            & ssList(v4) & ssList(v3) & ssItem(v2) & ssItem(v1) &  ~ leq(v1,
% 136.93/18.78  |              v2)))
% 136.93/18.78  | 
% 136.93/18.78  | ALPHA: (ax12) implies:
% 136.93/18.78  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 136.93/18.78  |        ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] : ( ~ (cons(v2,
% 136.93/18.78  |              v7) = v8) |  ~ (cons(v1, v4) = v5) |  ~ (app(v6, v8) = v0) |  ~
% 136.93/18.78  |          (app(v3, v5) = v6) |  ~ $i(v7) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) | 
% 136.93/18.78  |          ~ $i(v1) |  ~ $i(v0) |  ~ strictorderedP(v0) |  ~ ssList(v7) |  ~
% 136.93/18.78  |          ssList(v4) |  ~ ssList(v3) |  ~ ssList(v0) |  ~ ssItem(v2) |  ~
% 136.93/18.78  |          ssItem(v1) | lt(v1, v2))
% 136.93/18.78  | 
% 136.93/18.78  | ALPHA: (ax17) implies:
% 136.93/18.78  |   (3)  ssList(nil)
% 136.93/18.78  | 
% 136.93/18.78  | ALPHA: (ax58) implies:
% 136.93/18.78  |   (4)   ~ ssList(nil) | segmentP(nil, nil)
% 136.93/18.78  | 
% 136.93/18.78  | ALPHA: (ax93) implies:
% 136.93/18.78  |   (5)   ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ lt(v0, v1) |  ~
% 136.93/18.78  |          ssItem(v1) |  ~ ssItem(v0) | leq(v0, v1))
% 136.93/18.78  | 
% 136.93/18.78  | DELTA: instantiating (co1) with fresh symbols all_91_0, all_91_1 gives:
% 136.93/18.78  |   (6)  $i(all_91_0) & $i(all_91_1) & strictorderedP(all_91_1) &
% 136.93/18.78  |        frontsegP(all_91_0, all_91_1) & ssList(all_91_0) & ssList(all_91_1) & 
% 136.93/18.78  |        ~ totalorderedP(all_91_1) &  ! [v0: $i] : ( ~ $i(v0) |  ~
% 136.93/18.78  |          strictorderedP(v0) |  ~ segmentP(v0, all_91_1) |  ~
% 136.93/18.78  |          frontsegP(all_91_0, v0) |  ~ ssList(v0) |  ~ neq(all_91_1, v0))
% 136.93/18.78  | 
% 136.93/18.78  | ALPHA: (6) implies:
% 136.93/18.78  |   (7)   ~ totalorderedP(all_91_1)
% 136.93/18.78  |   (8)  ssList(all_91_1)
% 136.93/18.78  |   (9)  strictorderedP(all_91_1)
% 136.93/18.78  |   (10)  $i(all_91_1)
% 136.93/18.78  | 
% 136.93/18.78  | BETA: splitting (4) gives:
% 136.93/18.78  | 
% 136.93/18.78  | Case 1:
% 136.93/18.78  | | 
% 136.93/18.78  | |   (11)   ~ ssList(nil)
% 136.93/18.78  | | 
% 136.93/18.78  | | PRED_UNIFY: (3), (11) imply:
% 136.93/18.78  | |   (12)  $false
% 136.93/18.78  | | 
% 136.93/18.78  | | CLOSE: (12) is inconsistent.
% 136.93/18.78  | | 
% 136.93/18.78  | Case 2:
% 136.93/18.78  | | 
% 136.93/18.78  | | 
% 136.93/18.78  | | GROUND_INST: instantiating (1) with all_91_1, simplifying with (7), (8),
% 136.93/18.78  | |              (10) gives:
% 136.93/18.79  | |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i]
% 136.93/18.79  | |         :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] : (cons(v1, v6) = v7 &
% 136.93/18.79  | |           cons(v0, v3) = v4 & app(v5, v7) = all_91_1 & app(v2, v4) = v5 &
% 136.93/18.79  | |           $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 136.93/18.79  | |           $i(v0) & ssList(v6) & ssList(v3) & ssList(v2) & ssItem(v1) &
% 136.93/18.79  | |           ssItem(v0) &  ~ leq(v0, v1))
% 136.93/18.79  | | 
% 136.93/18.79  | | DELTA: instantiating (13) with fresh symbols all_120_0, all_120_1,
% 136.93/18.79  | |        all_120_2, all_120_3, all_120_4, all_120_5, all_120_6, all_120_7
% 136.93/18.79  | |        gives:
% 136.93/18.79  | |   (14)  cons(all_120_6, all_120_1) = all_120_0 & cons(all_120_7, all_120_4)
% 136.93/18.79  | |         = all_120_3 & app(all_120_2, all_120_0) = all_91_1 & app(all_120_5,
% 136.93/18.79  | |           all_120_3) = all_120_2 & $i(all_120_0) & $i(all_120_1) &
% 136.93/18.79  | |         $i(all_120_2) & $i(all_120_3) & $i(all_120_4) & $i(all_120_5) &
% 136.93/18.79  | |         $i(all_120_6) & $i(all_120_7) & ssList(all_120_1) &
% 136.93/18.79  | |         ssList(all_120_4) & ssList(all_120_5) & ssItem(all_120_6) &
% 136.93/18.79  | |         ssItem(all_120_7) &  ~ leq(all_120_7, all_120_6)
% 136.93/18.79  | | 
% 136.93/18.79  | | ALPHA: (14) implies:
% 136.93/18.79  | |   (15)   ~ leq(all_120_7, all_120_6)
% 136.93/18.79  | |   (16)  ssItem(all_120_7)
% 136.93/18.79  | |   (17)  ssItem(all_120_6)
% 136.93/18.79  | |   (18)  ssList(all_120_5)
% 136.93/18.79  | |   (19)  ssList(all_120_4)
% 136.93/18.79  | |   (20)  ssList(all_120_1)
% 136.93/18.79  | |   (21)  $i(all_120_7)
% 136.93/18.79  | |   (22)  $i(all_120_6)
% 136.93/18.79  | |   (23)  $i(all_120_5)
% 136.93/18.79  | |   (24)  $i(all_120_4)
% 136.93/18.79  | |   (25)  $i(all_120_1)
% 136.93/18.79  | |   (26)  app(all_120_5, all_120_3) = all_120_2
% 136.93/18.79  | |   (27)  app(all_120_2, all_120_0) = all_91_1
% 136.93/18.79  | |   (28)  cons(all_120_7, all_120_4) = all_120_3
% 136.93/18.79  | |   (29)  cons(all_120_6, all_120_1) = all_120_0
% 136.93/18.79  | | 
% 136.93/18.79  | | GROUND_INST: instantiating (2) with all_91_1, all_120_7, all_120_6,
% 136.93/18.79  | |              all_120_5, all_120_4, all_120_3, all_120_2, all_120_1,
% 136.93/18.79  | |              all_120_0, simplifying with (8), (9), (10), (16), (17), (18),
% 136.93/18.79  | |              (19), (20), (21), (22), (23), (24), (25), (26), (27), (28),
% 136.93/18.79  | |              (29) gives:
% 136.93/18.79  | |   (30)  lt(all_120_7, all_120_6)
% 136.93/18.79  | | 
% 136.93/18.79  | | GROUND_INST: instantiating (5) with all_120_7, all_120_6, simplifying with
% 136.93/18.79  | |              (15), (16), (17), (21), (22), (30) gives:
% 136.93/18.79  | |   (31)  $false
% 136.93/18.79  | | 
% 136.93/18.79  | | CLOSE: (31) is inconsistent.
% 136.93/18.79  | | 
% 136.93/18.79  | End of split
% 136.93/18.79  | 
% 136.93/18.79  End of proof
% 136.93/18.79  % SZS output end Proof for theBenchmark
% 136.93/18.79  
% 136.93/18.79  18184ms
%------------------------------------------------------------------------------