TSTP Solution File: NUM557+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n023.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 11:48:35 EDT 2023

% Result   : Theorem 19.09s 3.19s
% Output   : Proof 24.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Fri Aug 25 13:27:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.52/0.61  ________       _____
% 0.52/0.61  ___  __ \_________(_)________________________________
% 0.52/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.52/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.52/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.52/0.61  
% 0.52/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.52/0.61  (2023-06-19)
% 0.52/0.61  
% 0.52/0.61  (c) Philipp Rümmer, 2009-2023
% 0.52/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.52/0.61                Amanda Stjerna.
% 0.52/0.61  Free software under BSD-3-Clause.
% 0.52/0.61  
% 0.52/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.52/0.61  
% 0.52/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.52/0.62  Running up to 7 provers in parallel.
% 0.52/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.52/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.52/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.52/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.52/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.52/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.52/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 3.69/1.20  Prover 1: Preprocessing ...
% 3.69/1.20  Prover 4: Preprocessing ...
% 4.14/1.24  Prover 3: Preprocessing ...
% 4.14/1.24  Prover 5: Preprocessing ...
% 4.14/1.24  Prover 0: Preprocessing ...
% 4.14/1.24  Prover 2: Preprocessing ...
% 4.14/1.24  Prover 6: Preprocessing ...
% 10.27/2.04  Prover 1: Constructing countermodel ...
% 10.46/2.12  Prover 3: Constructing countermodel ...
% 10.91/2.15  Prover 6: Proving ...
% 11.19/2.19  Prover 5: Constructing countermodel ...
% 12.10/2.33  Prover 2: Proving ...
% 15.54/2.73  Prover 4: Constructing countermodel ...
% 16.52/2.86  Prover 0: Proving ...
% 19.09/3.18  Prover 2: proved (2557ms)
% 19.09/3.18  
% 19.09/3.19  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.09/3.19  
% 19.09/3.19  Prover 3: stopped
% 19.09/3.19  Prover 0: stopped
% 19.09/3.19  Prover 6: stopped
% 19.09/3.19  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.09/3.19  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.09/3.19  Prover 5: stopped
% 19.09/3.19  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.09/3.19  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.09/3.19  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 19.64/3.31  Prover 8: Preprocessing ...
% 19.64/3.32  Prover 13: Preprocessing ...
% 20.18/3.33  Prover 7: Preprocessing ...
% 20.18/3.35  Prover 11: Preprocessing ...
% 20.18/3.35  Prover 10: Preprocessing ...
% 21.65/3.53  Prover 8: Warning: ignoring some quantifiers
% 21.65/3.53  Prover 8: Constructing countermodel ...
% 21.65/3.54  Prover 10: Constructing countermodel ...
% 21.65/3.54  Prover 7: Constructing countermodel ...
% 22.85/3.69  Prover 13: Constructing countermodel ...
% 23.56/3.83  Prover 10: Found proof (size 23)
% 23.56/3.83  Prover 10: proved (641ms)
% 23.56/3.83  Prover 7: stopped
% 23.56/3.83  Prover 8: stopped
% 24.05/3.83  Prover 1: stopped
% 24.05/3.83  Prover 4: stopped
% 24.05/3.83  Prover 13: stopped
% 24.19/3.89  Prover 11: Constructing countermodel ...
% 24.19/3.91  Prover 11: stopped
% 24.19/3.91  
% 24.19/3.91  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.19/3.91  
% 24.19/3.92  % SZS output start Proof for theBenchmark
% 24.19/3.92  Assumptions after simplification:
% 24.19/3.92  ---------------------------------
% 24.19/3.92  
% 24.19/3.92    (mDefSel)
% 24.54/3.95    $i(szNzAzT0) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4:
% 24.54/3.95      $i] : (v4 = v1 |  ~ (slbdtsldtrb0(v0, v1) = v2) |  ~ (sbrdtbr0(v3) = v4) | 
% 24.54/3.95      ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ aElementOf0(v3, v2) |  ~
% 24.54/3.95      aElementOf0(v1, szNzAzT0) |  ~ aSet0(v0)) &  ! [v0: $i] :  ! [v1: $i] :  !
% 24.54/3.95    [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~ (slbdtsldtrb0(v0, v1) = v2) |  ~
% 24.54/3.95      (sbrdtbr0(v3) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~
% 24.54/3.95      aElementOf0(v3, v2) |  ~ aElementOf0(v1, szNzAzT0) |  ~ aSet0(v0) |
% 24.54/3.95      aSubsetOf0(v3, v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i]
% 24.54/3.95    : (v3 = v2 |  ~ (slbdtsldtrb0(v0, v1) = v2) |  ~ $i(v3) |  ~ $i(v1) |  ~
% 24.54/3.95      $i(v0) |  ~ aElementOf0(v1, szNzAzT0) |  ~ aSet0(v3) |  ~ aSet0(v0) |  ?
% 24.54/3.95      [v4: $i] :  ? [v5: $i] : ($i(v4) & ( ~ aSubsetOf0(v4, v0) |  ~
% 24.54/3.95          aElementOf0(v4, v3) | ( ~ (v5 = v1) & sbrdtbr0(v4) = v5 & $i(v5))) &
% 24.54/3.95        (aElementOf0(v4, v3) | (v5 = v1 & sbrdtbr0(v4) = v1 & aSubsetOf0(v4,
% 24.54/3.95              v0))))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (
% 24.54/3.95      ~ (slbdtsldtrb0(v0, v1) = v2) |  ~ (sbrdtbr0(v3) = v1) |  ~ $i(v3) |  ~
% 24.54/3.95      $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ aSubsetOf0(v3, v0) |  ~ aElementOf0(v1,
% 24.54/3.95        szNzAzT0) |  ~ aSet0(v0) | aElementOf0(v3, v2)) &  ! [v0: $i] :  ! [v1:
% 24.54/3.95      $i] :  ! [v2: $i] : ( ~ (slbdtsldtrb0(v0, v1) = v2) |  ~ $i(v2) |  ~ $i(v1)
% 24.54/3.95      |  ~ $i(v0) |  ~ aElementOf0(v1, szNzAzT0) |  ~ aSet0(v0) | aSet0(v2))
% 24.54/3.95  
% 24.54/3.95    (m__)
% 24.54/3.95    $i(xP) & $i(xS) & $i(xk) &  ? [v0: $i] : (slbdtsldtrb0(xS, xk) = v0 & $i(v0) &
% 24.54/3.95       ~ aElementOf0(xP, v0))
% 24.54/3.95  
% 24.54/3.95    (m__2202)
% 24.54/3.95    $i(xk) & $i(szNzAzT0) & aElementOf0(xk, szNzAzT0)
% 24.54/3.95  
% 24.54/3.95    (m__2202_02)
% 24.54/3.95     ~ (xk = sz00) & $i(xT) & $i(xS) & $i(xk) & $i(sz00) & aSet0(xT) & aSet0(xS)
% 24.54/3.95  
% 24.54/3.95    (m__2227)
% 24.54/3.96    $i(xT) & $i(xS) & $i(xk) & $i(slcrc0) &  ? [v0: $i] :  ? [v1: $i] : ( ~ (v0 =
% 24.54/3.96        slcrc0) & slbdtsldtrb0(xT, xk) = v1 & slbdtsldtrb0(xS, xk) = v0 & $i(v1) &
% 24.54/3.96      $i(v0) & aSubsetOf0(v0, v1))
% 24.54/3.96  
% 24.54/3.96    (m__2270)
% 24.54/3.96    $i(xQ) & $i(xS) & $i(xk) &  ? [v0: $i] : (slbdtsldtrb0(xS, xk) = v0 & $i(v0) &
% 24.54/3.96      aElementOf0(xQ, v0))
% 24.54/3.96  
% 24.54/3.96    (m__2431)
% 24.54/3.96    sbrdtbr0(xP) = xk & $i(xP) & $i(xS) & $i(xk) & aSubsetOf0(xP, xS)
% 24.54/3.96  
% 24.54/3.96    (function-axioms)
% 24.54/3.96     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.54/3.96      (slbdtsldtrb0(v3, v2) = v1) |  ~ (slbdtsldtrb0(v3, v2) = v0)) &  ! [v0: $i]
% 24.54/3.96    :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtmndt0(v3, v2) =
% 24.54/3.96        v1) |  ~ (sdtmndt0(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 24.54/3.96      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3,
% 24.54/3.96          v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 24.54/3.96      (slbdtrb0(v2) = v1) |  ~ (slbdtrb0(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] : 
% 24.54/3.96    ! [v2: $i] : (v1 = v0 |  ~ (szmzazxdt0(v2) = v1) |  ~ (szmzazxdt0(v2) = v0)) &
% 24.54/3.96     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (szmzizndt0(v2) = v1)
% 24.54/3.96      |  ~ (szmzizndt0(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1
% 24.54/3.96      = v0 |  ~ (sbrdtbr0(v2) = v1) |  ~ (sbrdtbr0(v2) = v0)) &  ! [v0: $i] :  !
% 24.54/3.96    [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (szszuzczcdt0(v2) = v1) |  ~
% 24.54/3.96      (szszuzczcdt0(v2) = v0))
% 24.54/3.96  
% 24.54/3.96  Further assumptions not needed in the proof:
% 24.54/3.96  --------------------------------------------
% 24.54/3.96  mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS,
% 24.54/3.96  mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mCountNFin_01,
% 24.54/3.96  mDefCons, mDefDiff, mDefEmp, mDefMax, mDefMin, mDefSeg, mDefSub, mDiffCons,
% 24.54/3.96  mEOfElem, mElmSort, mEmpFin, mFConsSet, mFDiffSet, mFinRel, mFinSubSeg, mIH,
% 24.54/3.96  mIHSort, mLessASymm, mLessRefl, mLessRel, mLessSucc, mLessTotal, mLessTrans,
% 24.54/3.96  mMinMin, mNATSet, mNatExtra, mNatNSucc, mNoScLessZr, mSegFin, mSegLess,
% 24.54/3.96  mSegSucc, mSegZero, mSelCSet, mSelFSet, mSelNSet, mSetSort, mSubASymm, mSubFSet,
% 24.54/3.96  mSubRefl, mSubTrans, mSuccEquSucc, mSuccLess, mSuccNum, mZeroLess, mZeroNum,
% 24.54/3.96  m__2256, m__2291, m__2304, m__2323, m__2338, m__2357, m__2411
% 24.54/3.96  
% 24.54/3.96  Those formulas are unsatisfiable:
% 24.54/3.96  ---------------------------------
% 24.54/3.96  
% 24.54/3.96  Begin of proof
% 24.54/3.96  | 
% 24.54/3.96  | ALPHA: (mDefSel) implies:
% 24.54/3.97  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~
% 24.54/3.97  |          (slbdtsldtrb0(v0, v1) = v2) |  ~ (sbrdtbr0(v3) = v1) |  ~ $i(v3) |  ~
% 24.54/3.97  |          $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ aSubsetOf0(v3, v0) |  ~
% 24.54/3.97  |          aElementOf0(v1, szNzAzT0) |  ~ aSet0(v0) | aElementOf0(v3, v2))
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__2202) implies:
% 24.54/3.97  |   (2)  aElementOf0(xk, szNzAzT0)
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__2202_02) implies:
% 24.54/3.97  |   (3)  aSet0(xS)
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__2227) implies:
% 24.54/3.97  |   (4)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v0 = slcrc0) & slbdtsldtrb0(xT, xk) =
% 24.54/3.97  |          v1 & slbdtsldtrb0(xS, xk) = v0 & $i(v1) & $i(v0) & aSubsetOf0(v0,
% 24.54/3.97  |            v1))
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__2270) implies:
% 24.54/3.97  |   (5)   ? [v0: $i] : (slbdtsldtrb0(xS, xk) = v0 & $i(v0) & aElementOf0(xQ,
% 24.54/3.97  |            v0))
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__2431) implies:
% 24.54/3.97  |   (6)  aSubsetOf0(xP, xS)
% 24.54/3.97  |   (7)  sbrdtbr0(xP) = xk
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (m__) implies:
% 24.54/3.97  |   (8)  $i(xk)
% 24.54/3.97  |   (9)  $i(xS)
% 24.54/3.97  |   (10)  $i(xP)
% 24.54/3.97  |   (11)   ? [v0: $i] : (slbdtsldtrb0(xS, xk) = v0 & $i(v0) &  ~ aElementOf0(xP,
% 24.54/3.97  |             v0))
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (function-axioms) implies:
% 24.54/3.97  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 24.54/3.97  |           (slbdtsldtrb0(v3, v2) = v1) |  ~ (slbdtsldtrb0(v3, v2) = v0))
% 24.54/3.97  | 
% 24.54/3.97  | DELTA: instantiating (11) with fresh symbol all_55_0 gives:
% 24.54/3.97  |   (13)  slbdtsldtrb0(xS, xk) = all_55_0 & $i(all_55_0) &  ~ aElementOf0(xP,
% 24.54/3.97  |           all_55_0)
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (13) implies:
% 24.54/3.97  |   (14)   ~ aElementOf0(xP, all_55_0)
% 24.54/3.97  |   (15)  slbdtsldtrb0(xS, xk) = all_55_0
% 24.54/3.97  | 
% 24.54/3.97  | DELTA: instantiating (5) with fresh symbol all_57_0 gives:
% 24.54/3.97  |   (16)  slbdtsldtrb0(xS, xk) = all_57_0 & $i(all_57_0) & aElementOf0(xQ,
% 24.54/3.97  |           all_57_0)
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (16) implies:
% 24.54/3.97  |   (17)  $i(all_57_0)
% 24.54/3.97  |   (18)  slbdtsldtrb0(xS, xk) = all_57_0
% 24.54/3.97  | 
% 24.54/3.97  | DELTA: instantiating (4) with fresh symbols all_61_0, all_61_1 gives:
% 24.54/3.97  |   (19)   ~ (all_61_1 = slcrc0) & slbdtsldtrb0(xT, xk) = all_61_0 &
% 24.54/3.97  |         slbdtsldtrb0(xS, xk) = all_61_1 & $i(all_61_0) & $i(all_61_1) &
% 24.54/3.97  |         aSubsetOf0(all_61_1, all_61_0)
% 24.54/3.97  | 
% 24.54/3.97  | ALPHA: (19) implies:
% 24.54/3.97  |   (20)  slbdtsldtrb0(xS, xk) = all_61_1
% 24.54/3.97  | 
% 24.54/3.98  | GROUND_INST: instantiating (12) with all_57_0, all_61_1, xk, xS, simplifying
% 24.54/3.98  |              with (18), (20) gives:
% 24.54/3.98  |   (21)  all_61_1 = all_57_0
% 24.54/3.98  | 
% 24.54/3.98  | GROUND_INST: instantiating (12) with all_55_0, all_61_1, xk, xS, simplifying
% 24.54/3.98  |              with (15), (20) gives:
% 24.54/3.98  |   (22)  all_61_1 = all_55_0
% 24.54/3.98  | 
% 24.54/3.98  | COMBINE_EQS: (21), (22) imply:
% 24.54/3.98  |   (23)  all_57_0 = all_55_0
% 24.54/3.98  | 
% 24.54/3.98  | SIMP: (23) implies:
% 24.54/3.98  |   (24)  all_57_0 = all_55_0
% 24.54/3.98  | 
% 24.72/3.98  | REDUCE: (17), (24) imply:
% 24.72/3.98  |   (25)  $i(all_55_0)
% 24.72/3.98  | 
% 24.72/3.98  | GROUND_INST: instantiating (1) with xS, xk, all_55_0, xP, simplifying with
% 24.72/3.98  |              (2), (3), (6), (7), (8), (9), (10), (14), (15), (25) gives:
% 24.72/3.98  |   (26)  $false
% 24.72/3.98  | 
% 24.72/3.98  | CLOSE: (26) is inconsistent.
% 24.72/3.98  | 
% 24.72/3.98  End of proof
% 24.72/3.98  % SZS output end Proof for theBenchmark
% 24.72/3.98  
% 24.72/3.98  3372ms
%------------------------------------------------------------------------------