TSTP Solution File: CSR054+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : CSR054+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n018.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 : Wed Aug 30 21:36:54 EDT 2023

% Result   : Theorem 6.66s 1.63s
% Output   : Proof 8.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : CSR054+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 12:53:17 EDT 2023
% 0.12/0.34  % 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  
% 0.19/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.61  Running up to 7 provers in parallel.
% 0.19/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.90/1.08  Prover 4: Preprocessing ...
% 2.90/1.08  Prover 1: Preprocessing ...
% 2.90/1.12  Prover 5: Preprocessing ...
% 2.90/1.12  Prover 6: Preprocessing ...
% 2.90/1.12  Prover 2: Preprocessing ...
% 2.90/1.13  Prover 0: Preprocessing ...
% 2.90/1.13  Prover 3: Preprocessing ...
% 5.56/1.47  Prover 5: Proving ...
% 5.56/1.48  Prover 2: Proving ...
% 5.56/1.52  Prover 1: Warning: ignoring some quantifiers
% 6.32/1.55  Prover 6: Proving ...
% 6.32/1.57  Prover 3: Warning: ignoring some quantifiers
% 6.32/1.58  Prover 1: Constructing countermodel ...
% 6.32/1.59  Prover 3: Constructing countermodel ...
% 6.66/1.62  Prover 2: proved (1007ms)
% 6.66/1.63  
% 6.66/1.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.66/1.63  
% 6.66/1.63  Prover 3: stopped
% 6.66/1.63  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.66/1.63  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.66/1.63  Prover 6: stopped
% 6.66/1.64  Prover 5: stopped
% 6.66/1.64  Prover 4: Constructing countermodel ...
% 6.66/1.64  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.66/1.64  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.66/1.64  Prover 0: Proving ...
% 7.02/1.65  Prover 0: stopped
% 7.02/1.65  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.02/1.70  Prover 8: Preprocessing ...
% 7.02/1.70  Prover 7: Preprocessing ...
% 7.44/1.71  Prover 10: Preprocessing ...
% 7.44/1.71  Prover 13: Preprocessing ...
% 7.44/1.73  Prover 11: Preprocessing ...
% 7.81/1.76  Prover 7: Constructing countermodel ...
% 7.81/1.79  Prover 1: gave up
% 7.81/1.79  Prover 4: Found proof (size 16)
% 7.81/1.79  Prover 4: proved (1167ms)
% 7.81/1.79  Prover 7: stopped
% 7.81/1.79  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 7.81/1.79  Prover 13: Warning: ignoring some quantifiers
% 7.81/1.80  Prover 10: Constructing countermodel ...
% 7.81/1.80  Prover 11: stopped
% 7.81/1.81  Prover 13: Constructing countermodel ...
% 7.81/1.81  Prover 10: stopped
% 7.81/1.81  Prover 13: stopped
% 7.81/1.84  Prover 8: Warning: ignoring some quantifiers
% 7.81/1.84  Prover 16: Preprocessing ...
% 8.52/1.86  Prover 16: stopped
% 8.52/1.86  Prover 8: Constructing countermodel ...
% 8.52/1.87  Prover 8: stopped
% 8.52/1.87  
% 8.52/1.87  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.52/1.87  
% 8.52/1.87  % SZS output start Proof for theBenchmark
% 8.52/1.88  Assumptions after simplification:
% 8.52/1.88  ---------------------------------
% 8.52/1.88  
% 8.52/1.88    (just1)
% 8.77/1.90    $i(n_170) & $i(s_tlh) & $i(c_airporthasiatacode) & $i(c_airport_physical) &
% 8.77/1.91    $i(c_currentworlddatacollectormt_nonhomocentric) &  ? [v0: any] :  ? [v1: $i]
% 8.77/1.91    :  ? [v2: $i] :  ? [v3: any] :
% 8.77/1.91    (mtvisible(c_currentworlddatacollectormt_nonhomocentric) = v0 &
% 8.77/1.91      f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh)
% 8.77/1.91      = v1 & f_tptpquantityfn_21(n_170) = v2 & tptpofobject(v1, v2) = v3 & $i(v2)
% 8.77/1.91      & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 8.77/1.91  
% 8.77/1.91    (query54)
% 8.77/1.91    $i(s_tlh) & $i(c_airporthasiatacode) & $i(c_airport_physical) &
% 8.77/1.91    $i(c_currentworlddatacollectormt_nonhomocentric) &  ? [v0: $i] :
% 8.77/1.91    (mtvisible(c_currentworlddatacollectormt_nonhomocentric) = 0 &
% 8.77/1.91      f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh)
% 8.77/1.91      = v0 & $i(v0) &  ! [v1: $i] : ( ~ (tptpofobject(v0, v1) = 0) |  ~ $i(v1)))
% 8.77/1.91  
% 8.77/1.91    (function-axioms)
% 8.77/1.92     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 8.77/1.92    [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (natargument(v4, v3, v2) = v1) |  ~
% 8.77/1.92      (natargument(v4, v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : 
% 8.77/1.92    ! [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (f_instancewithrelationtofn(v4, v3,
% 8.77/1.92          v2) = v1) |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v0)) &  ! [v0:
% 8.77/1.92      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.77/1.92    : (v1 = v0 |  ~ (airporthasiatacode(v3, v2) = v1) |  ~ (airporthasiatacode(v3,
% 8.77/1.92          v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 8.77/1.92    ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (natfunction(v3, v2) = v1) |  ~
% 8.77/1.92      (natfunction(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 8.77/1.92      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (genls(v3,
% 8.77/1.92          v2) = v1) |  ~ (genls(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 8.77/1.92    [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 8.77/1.92      (genlpreds(v3, v2) = v1) |  ~ (genlpreds(v3, v2) = v0)) &  ! [v0:
% 8.77/1.92      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.77/1.92    : (v1 = v0 |  ~ (genlinverse(v3, v2) = v1) |  ~ (genlinverse(v3, v2) = v0)) & 
% 8.77/1.92    ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 8.77/1.92      $i] : (v1 = v0 |  ~ (disjointwith(v3, v2) = v1) |  ~ (disjointwith(v3, v2) =
% 8.77/1.92        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 8.77/1.92      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (isa(v3, v2) = v1) |  ~ (isa(v3, v2) =
% 8.77/1.92        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 8.77/1.92      $i] :  ! [v3: $i] : (v1 = v0 |  ~ (tptpofobject(v3, v2) = v1) |  ~
% 8.77/1.92      (tptpofobject(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 8.77/1.92      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (partiallytangible(v2) =
% 8.77/1.92        v1) |  ~ (partiallytangible(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 8.77/1.92    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (airport_physical(v2) =
% 8.77/1.92        v1) |  ~ (airport_physical(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 8.77/1.92    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (stringoflengthfn3(v2) =
% 8.77/1.92        v1) |  ~ (stringoflengthfn3(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 8.77/1.92    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (tptpquantity(v2) = v1)
% 8.77/1.92      |  ~ (tptpquantity(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 8.77/1.92      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (thing(v2) = v1) |  ~
% 8.77/1.92      (thing(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool]
% 8.77/1.92    :  ! [v2: $i] : (v1 = v0 |  ~ (collection(v2) = v1) |  ~ (collection(v2) =
% 8.77/1.92        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 8.77/1.92      $i] : (v1 = v0 |  ~ (binarypredicate(v2) = v1) |  ~ (binarypredicate(v2) =
% 8.77/1.92        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 8.77/1.92      $i] : (v1 = v0 |  ~ (predicate(v2) = v1) |  ~ (predicate(v2) = v0)) &  !
% 8.77/1.92    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 8.77/1.92      |  ~ (mtvisible(v2) = v1) |  ~ (mtvisible(v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 8.77/1.92      $i] :  ! [v2: $i] : (v1 = v0 |  ~ (f_tptpquantityfn_21(v2) = v1) |  ~
% 8.77/1.92      (f_tptpquantityfn_21(v2) = v0))
% 8.77/1.92  
% 8.77/1.92  Further assumptions not needed in the proof:
% 8.77/1.92  --------------------------------------------
% 8.77/1.92  just10, just11, just12, just13, just14, just15, just16, just17, just18, just19,
% 8.77/1.92  just2, just20, just21, just22, just23, just24, just25, just26, just27, just28,
% 8.77/1.92  just29, just3, just30, just31, just32, just33, just34, just35, just36, just37,
% 8.77/1.92  just38, just39, just4, just5, just6, just7, just8, just9
% 8.77/1.92  
% 8.77/1.92  Those formulas are unsatisfiable:
% 8.77/1.92  ---------------------------------
% 8.77/1.92  
% 8.77/1.92  Begin of proof
% 8.77/1.92  | 
% 8.77/1.92  | ALPHA: (just1) implies:
% 8.77/1.93  |   (1)   ? [v0: any] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: any] :
% 8.77/1.93  |        (mtvisible(c_currentworlddatacollectormt_nonhomocentric) = v0 &
% 8.77/1.93  |          f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode,
% 8.77/1.93  |            s_tlh) = v1 & f_tptpquantityfn_21(n_170) = v2 & tptpofobject(v1,
% 8.77/1.93  |            v2) = v3 & $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = 0))
% 8.77/1.93  | 
% 8.77/1.93  | ALPHA: (query54) implies:
% 8.77/1.93  |   (2)   ? [v0: $i] : (mtvisible(c_currentworlddatacollectormt_nonhomocentric)
% 8.77/1.93  |          = 0 & f_instancewithrelationtofn(c_airport_physical,
% 8.77/1.93  |            c_airporthasiatacode, s_tlh) = v0 & $i(v0) &  ! [v1: $i] : ( ~
% 8.77/1.93  |            (tptpofobject(v0, v1) = 0) |  ~ $i(v1)))
% 8.77/1.93  | 
% 8.77/1.93  | ALPHA: (function-axioms) implies:
% 8.77/1.93  |   (3)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 8.77/1.93  |        (v1 = v0 |  ~ (mtvisible(v2) = v1) |  ~ (mtvisible(v2) = v0))
% 8.77/1.93  |   (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :
% 8.77/1.93  |        (v1 = v0 |  ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) |  ~
% 8.77/1.93  |          (f_instancewithrelationtofn(v4, v3, v2) = v0))
% 8.77/1.93  | 
% 8.77/1.93  | DELTA: instantiating (2) with fresh symbol all_41_0 gives:
% 8.77/1.93  |   (5)  mtvisible(c_currentworlddatacollectormt_nonhomocentric) = 0 &
% 8.77/1.93  |        f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode,
% 8.77/1.93  |          s_tlh) = all_41_0 & $i(all_41_0) &  ! [v0: $i] : ( ~
% 8.77/1.93  |          (tptpofobject(all_41_0, v0) = 0) |  ~ $i(v0))
% 8.77/1.93  | 
% 8.77/1.93  | ALPHA: (5) implies:
% 8.77/1.93  |   (6)  f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode,
% 8.77/1.93  |          s_tlh) = all_41_0
% 8.77/1.93  |   (7)  mtvisible(c_currentworlddatacollectormt_nonhomocentric) = 0
% 8.77/1.93  |   (8)   ! [v0: $i] : ( ~ (tptpofobject(all_41_0, v0) = 0) |  ~ $i(v0))
% 8.77/1.93  | 
% 8.77/1.93  | DELTA: instantiating (1) with fresh symbols all_44_0, all_44_1, all_44_2,
% 8.77/1.93  |        all_44_3 gives:
% 8.77/1.93  |   (9)  mtvisible(c_currentworlddatacollectormt_nonhomocentric) = all_44_3 &
% 8.77/1.93  |        f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode,
% 8.77/1.93  |          s_tlh) = all_44_2 & f_tptpquantityfn_21(n_170) = all_44_1 &
% 8.77/1.93  |        tptpofobject(all_44_2, all_44_1) = all_44_0 & $i(all_44_1) &
% 8.77/1.93  |        $i(all_44_2) & ( ~ (all_44_3 = 0) | all_44_0 = 0)
% 8.77/1.93  | 
% 8.77/1.93  | ALPHA: (9) implies:
% 8.77/1.93  |   (10)  $i(all_44_1)
% 8.77/1.93  |   (11)  tptpofobject(all_44_2, all_44_1) = all_44_0
% 8.77/1.93  |   (12)  f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode,
% 8.77/1.93  |           s_tlh) = all_44_2
% 8.77/1.93  |   (13)  mtvisible(c_currentworlddatacollectormt_nonhomocentric) = all_44_3
% 8.77/1.93  |   (14)   ~ (all_44_3 = 0) | all_44_0 = 0
% 8.77/1.93  | 
% 8.77/1.94  | GROUND_INST: instantiating (4) with all_41_0, all_44_2, s_tlh,
% 8.77/1.94  |              c_airporthasiatacode, c_airport_physical, simplifying with (6),
% 8.77/1.94  |              (12) gives:
% 8.77/1.94  |   (15)  all_44_2 = all_41_0
% 8.77/1.94  | 
% 8.77/1.94  | GROUND_INST: instantiating (3) with 0, all_44_3,
% 8.77/1.94  |              c_currentworlddatacollectormt_nonhomocentric, simplifying with
% 8.77/1.94  |              (7), (13) gives:
% 8.77/1.94  |   (16)  all_44_3 = 0
% 8.77/1.94  | 
% 8.77/1.94  | REDUCE: (11), (15) imply:
% 8.77/1.94  |   (17)  tptpofobject(all_41_0, all_44_1) = all_44_0
% 8.77/1.94  | 
% 8.77/1.94  | BETA: splitting (14) gives:
% 8.77/1.94  | 
% 8.77/1.94  | Case 1:
% 8.77/1.94  | | 
% 8.77/1.94  | |   (18)   ~ (all_44_3 = 0)
% 8.77/1.94  | | 
% 8.77/1.94  | | REDUCE: (16), (18) imply:
% 8.77/1.94  | |   (19)  $false
% 8.77/1.94  | | 
% 8.77/1.94  | | CLOSE: (19) is inconsistent.
% 8.77/1.94  | | 
% 8.77/1.94  | Case 2:
% 8.77/1.94  | | 
% 8.77/1.94  | |   (20)  all_44_0 = 0
% 8.77/1.94  | | 
% 8.77/1.94  | | REDUCE: (17), (20) imply:
% 8.77/1.94  | |   (21)  tptpofobject(all_41_0, all_44_1) = 0
% 8.77/1.94  | | 
% 8.77/1.94  | | GROUND_INST: instantiating (8) with all_44_1, simplifying with (10), (21)
% 8.77/1.94  | |              gives:
% 8.77/1.94  | |   (22)  $false
% 8.77/1.94  | | 
% 8.77/1.94  | | CLOSE: (22) is inconsistent.
% 8.77/1.94  | | 
% 8.77/1.94  | End of split
% 8.77/1.94  | 
% 8.77/1.94  End of proof
% 8.77/1.94  % SZS output end Proof for theBenchmark
% 8.77/1.94  
% 8.77/1.94  1342ms
%------------------------------------------------------------------------------