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Princess---230619.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : KRS097+1 : TPTP v8.1.2. Released v3.1.0.
% 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 05:51:14 EDT 2023

% Result   : Unsatisfiable 6.61s 1.71s
% Output   : Proof 8.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS097+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 02:46:04 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.63  ________       _____
% 0.21/0.63  ___  __ \_________(_)________________________________
% 0.21/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63  
% 0.21/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63  (2023-06-19)
% 0.21/0.63  
% 0.21/0.63  (c) Philipp Rümmer, 2009-2023
% 0.21/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63                Amanda Stjerna.
% 0.21/0.63  Free software under BSD-3-Clause.
% 0.21/0.63  
% 0.21/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63  
% 0.21/0.63  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.65  Running up to 7 provers in parallel.
% 0.21/0.66  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.07/1.12  Prover 1: Preprocessing ...
% 3.07/1.12  Prover 4: Preprocessing ...
% 3.07/1.16  Prover 3: Preprocessing ...
% 3.07/1.16  Prover 5: Preprocessing ...
% 3.07/1.16  Prover 0: Preprocessing ...
% 3.07/1.16  Prover 6: Preprocessing ...
% 3.07/1.16  Prover 2: Preprocessing ...
% 4.89/1.54  Prover 2: Proving ...
% 4.89/1.54  Prover 5: Proving ...
% 6.26/1.60  Prover 6: Proving ...
% 6.49/1.63  Prover 1: Constructing countermodel ...
% 6.61/1.64  Prover 3: Constructing countermodel ...
% 6.61/1.69  Prover 4: Constructing countermodel ...
% 6.61/1.71  Prover 5: proved (1053ms)
% 6.61/1.71  
% 6.61/1.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.61/1.71  
% 6.61/1.71  Prover 3: stopped
% 6.61/1.71  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.61/1.71  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.61/1.71  Prover 6: stopped
% 7.21/1.72  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.21/1.72  Prover 2: stopped
% 7.21/1.72  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.21/1.73  Prover 0: Proving ...
% 7.21/1.73  Prover 0: stopped
% 7.21/1.74  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.69/1.79  Prover 1: Found proof (size 23)
% 7.69/1.79  Prover 1: proved (1133ms)
% 7.69/1.79  Prover 4: stopped
% 7.69/1.80  Prover 8: Preprocessing ...
% 7.69/1.81  Prover 7: Preprocessing ...
% 7.69/1.81  Prover 10: Preprocessing ...
% 7.69/1.83  Prover 10: stopped
% 7.69/1.83  Prover 7: stopped
% 7.69/1.83  Prover 13: Preprocessing ...
% 7.69/1.83  Prover 11: Preprocessing ...
% 7.69/1.85  Prover 13: stopped
% 8.25/1.87  Prover 11: stopped
% 8.52/1.91  Prover 8: Warning: ignoring some quantifiers
% 8.52/1.92  Prover 8: Constructing countermodel ...
% 8.52/1.93  Prover 8: stopped
% 8.52/1.93  
% 8.52/1.93  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.52/1.93  
% 8.52/1.93  % SZS output start Proof for theBenchmark
% 8.61/1.93  Assumptions after simplification:
% 8.61/1.93  ---------------------------------
% 8.61/1.94  
% 8.61/1.94    (axiom_2)
% 8.61/1.97     ! [v0: $i] :  ! [v1: int] : (v1 = 0 |  ~ (cUnsatisfiable(v0) = v1) |  ~
% 8.61/1.97      $i(v0) |  ? [v2: $i] :  ? [v3: $i] : ( ~ (v3 = v2) & rr(v0, v3) = 0 & rr(v0,
% 8.61/1.97          v2) = 0 & $i(v3) & $i(v2)) |  ! [v2: $i] : ( ~ (rr(v0, v2) = 0) |  ~
% 8.61/1.97        $i(v2)) |  ! [v2: $i] : ( ~ (cd(v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~
% 8.61/1.97          (v3 = 0) & rr(v0, v2) = v3)) |  ! [v2: $i] : ( ~ (cc(v2) = 0) |  ~
% 8.61/1.97        $i(v2) |  ? [v3: int] : ( ~ (v3 = 0) & rr(v0, v2) = v3))) &  ! [v0: $i] :
% 8.61/1.97    ( ~ (cUnsatisfiable(v0) = 0) |  ~ $i(v0) | ( ! [v1: $i] :  ! [v2: $i] : (v2 =
% 8.61/1.97          v1 |  ~ (rr(v0, v2) = 0) |  ~ (rr(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1))
% 8.61/1.97        &  ? [v1: $i] : (rr(v0, v1) = 0 & cd(v1) = 0 & $i(v1)) &  ? [v1: $i] :
% 8.61/1.97        (rr(v0, v1) = 0 & cc(v1) = 0 & $i(v1)) &  ? [v1: $i] : (rr(v0, v1) = 0 &
% 8.61/1.97          $i(v1))))
% 8.61/1.97  
% 8.61/1.97    (axiom_4)
% 8.61/1.97    cUnsatisfiable(i2003_11_14_17_20_21603) = 0 & $i(i2003_11_14_17_20_21603)
% 8.61/1.97  
% 8.61/1.97    (axiom_6)
% 8.61/1.97     ! [v0: $i] : ( ~ (cd(v0) = 0) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 8.61/1.97        cc(v0) = v1))
% 8.61/1.97  
% 8.61/1.97    (function-axioms)
% 8.61/1.98     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 8.61/1.98    [v3: $i] : (v1 = v0 |  ~ (rtt(v3, v2) = v1) |  ~ (rtt(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rt3(v3, v2) = v1) |  ~ (rt3(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rt2(v3, v2) = v1) |  ~ (rt2(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rt1(v3, v2) = v1) |  ~ (rt1(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rr3(v3, v2) = v1) |  ~ (rr3(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rr2(v3, v2) = v1) |  ~ (rr2(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rr1(v3, v2) = v1) |  ~ (rr1(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 8.61/1.98    : (v1 = v0 |  ~ (rr(v3, v2) = v1) |  ~ (rr(v3, v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (xsd_string(v2) = v1) |  ~ (xsd_string(v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (xsd_integer(v2) = v1) |  ~ (xsd_integer(v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (cowlThing(v2) = v1) |  ~ (cowlThing(v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (cowlNothing(v2) = v1) |  ~ (cowlNothing(v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (ce(v2) = v1) |  ~ (ce(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 8.61/1.98      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cd(v2) = v1) |  ~ (cd(v2)
% 8.61/1.98        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 8.61/1.98      $i] : (v1 = v0 |  ~ (cc(v2) = v1) |  ~ (cc(v2) = v0)) &  ! [v0:
% 8.61/1.98      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 8.61/1.98      ~ (ca(v2) = v1) |  ~ (ca(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 8.61/1.98      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (cUnsatisfiable(v2) = v1) |
% 8.61/1.98       ~ (cUnsatisfiable(v2) = v0))
% 8.61/1.98  
% 8.61/1.98  Further assumptions not needed in the proof:
% 8.61/1.98  --------------------------------------------
% 8.61/1.98  axiom_0, axiom_1, axiom_10, axiom_11, axiom_12, axiom_13, axiom_3, axiom_5,
% 8.61/1.98  axiom_7, axiom_8, axiom_9, cUnsatisfiable_substitution_1, ca_substitution_1,
% 8.61/1.98  cc_substitution_1, cd_substitution_1, ce_substitution_1,
% 8.61/1.98  cowlNothing_substitution_1, cowlThing_substitution_1, rr1_substitution_1,
% 8.61/1.98  rr1_substitution_2, rr2_substitution_1, rr2_substitution_2, rr3_substitution_1,
% 8.61/1.98  rr3_substitution_2, rr_substitution_1, rr_substitution_2, rt1_substitution_1,
% 8.61/1.98  rt1_substitution_2, rt2_substitution_1, rt2_substitution_2, rt3_substitution_1,
% 8.61/1.98  rt3_substitution_2, rtt_substitution_1, rtt_substitution_2,
% 8.61/1.98  xsd_integer_substitution_1, xsd_string_substitution_1
% 8.61/1.98  
% 8.61/1.98  Those formulas are unsatisfiable:
% 8.61/1.98  ---------------------------------
% 8.61/1.98  
% 8.61/1.98  Begin of proof
% 8.61/1.98  | 
% 8.61/1.98  | ALPHA: (axiom_2) implies:
% 8.61/1.98  |   (1)   ! [v0: $i] : ( ~ (cUnsatisfiable(v0) = 0) |  ~ $i(v0) | ( ! [v1: $i] :
% 8.61/1.98  |             ! [v2: $i] : (v2 = v1 |  ~ (rr(v0, v2) = 0) |  ~ (rr(v0, v1) = 0)
% 8.61/1.98  |              |  ~ $i(v2) |  ~ $i(v1)) &  ? [v1: $i] : (rr(v0, v1) = 0 & cd(v1)
% 8.61/1.98  |              = 0 & $i(v1)) &  ? [v1: $i] : (rr(v0, v1) = 0 & cc(v1) = 0 &
% 8.61/1.98  |              $i(v1)) &  ? [v1: $i] : (rr(v0, v1) = 0 & $i(v1))))
% 8.61/1.98  | 
% 8.61/1.98  | ALPHA: (axiom_4) implies:
% 8.61/1.99  |   (2)  $i(i2003_11_14_17_20_21603)
% 8.61/1.99  |   (3)  cUnsatisfiable(i2003_11_14_17_20_21603) = 0
% 8.61/1.99  | 
% 8.61/1.99  | ALPHA: (function-axioms) implies:
% 8.61/1.99  |   (4)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 8.61/1.99  |        (v1 = v0 |  ~ (cc(v2) = v1) |  ~ (cc(v2) = v0))
% 8.61/1.99  | 
% 8.61/1.99  | GROUND_INST: instantiating (1) with i2003_11_14_17_20_21603, simplifying with
% 8.61/1.99  |              (2), (3) gives:
% 8.61/1.99  |   (5)   ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (rr(i2003_11_14_17_20_21603,
% 8.61/1.99  |              v1) = 0) |  ~ (rr(i2003_11_14_17_20_21603, v0) = 0) |  ~ $i(v1) |
% 8.61/1.99  |           ~ $i(v0)) &  ? [v0: $i] : (rr(i2003_11_14_17_20_21603, v0) = 0 &
% 8.61/1.99  |          cd(v0) = 0 & $i(v0)) &  ? [v0: $i] : (rr(i2003_11_14_17_20_21603, v0)
% 8.61/1.99  |          = 0 & cc(v0) = 0 & $i(v0)) &  ? [v0: $i] :
% 8.61/1.99  |        (rr(i2003_11_14_17_20_21603, v0) = 0 & $i(v0))
% 8.61/1.99  | 
% 8.61/1.99  | ALPHA: (5) implies:
% 8.61/1.99  |   (6)   ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (rr(i2003_11_14_17_20_21603,
% 8.61/1.99  |              v1) = 0) |  ~ (rr(i2003_11_14_17_20_21603, v0) = 0) |  ~ $i(v1) |
% 8.61/1.99  |           ~ $i(v0))
% 8.61/1.99  |   (7)   ? [v0: $i] : (rr(i2003_11_14_17_20_21603, v0) = 0 & $i(v0))
% 8.61/1.99  |   (8)   ? [v0: $i] : (rr(i2003_11_14_17_20_21603, v0) = 0 & cc(v0) = 0 &
% 8.61/1.99  |          $i(v0))
% 8.61/1.99  |   (9)   ? [v0: $i] : (rr(i2003_11_14_17_20_21603, v0) = 0 & cd(v0) = 0 &
% 8.61/1.99  |          $i(v0))
% 8.61/1.99  | 
% 8.61/1.99  | DELTA: instantiating (7) with fresh symbol all_23_0 gives:
% 8.61/1.99  |   (10)  rr(i2003_11_14_17_20_21603, all_23_0) = 0 & $i(all_23_0)
% 8.61/1.99  | 
% 8.61/1.99  | ALPHA: (10) implies:
% 8.61/1.99  |   (11)  $i(all_23_0)
% 8.61/1.99  |   (12)  rr(i2003_11_14_17_20_21603, all_23_0) = 0
% 8.61/1.99  | 
% 8.61/1.99  | DELTA: instantiating (8) with fresh symbol all_25_0 gives:
% 8.61/1.99  |   (13)  rr(i2003_11_14_17_20_21603, all_25_0) = 0 & cc(all_25_0) = 0 &
% 8.61/1.99  |         $i(all_25_0)
% 8.61/1.99  | 
% 8.61/1.99  | ALPHA: (13) implies:
% 8.61/1.99  |   (14)  $i(all_25_0)
% 8.61/1.99  |   (15)  cc(all_25_0) = 0
% 8.61/1.99  |   (16)  rr(i2003_11_14_17_20_21603, all_25_0) = 0
% 8.61/1.99  | 
% 8.61/2.00  | DELTA: instantiating (9) with fresh symbol all_27_0 gives:
% 8.61/2.00  |   (17)  rr(i2003_11_14_17_20_21603, all_27_0) = 0 & cd(all_27_0) = 0 &
% 8.61/2.00  |         $i(all_27_0)
% 8.61/2.00  | 
% 8.61/2.00  | ALPHA: (17) implies:
% 8.61/2.00  |   (18)  $i(all_27_0)
% 8.61/2.00  |   (19)  cd(all_27_0) = 0
% 8.61/2.00  |   (20)  rr(i2003_11_14_17_20_21603, all_27_0) = 0
% 8.61/2.00  | 
% 8.61/2.00  | GROUND_INST: instantiating (axiom_6) with all_27_0, simplifying with (18),
% 8.61/2.00  |              (19) gives:
% 8.61/2.00  |   (21)   ? [v0: int] : ( ~ (v0 = 0) & cc(all_27_0) = v0)
% 8.61/2.00  | 
% 8.61/2.00  | GROUND_INST: instantiating (6) with all_25_0, all_27_0, simplifying with (14),
% 8.61/2.00  |              (16), (18), (20) gives:
% 8.61/2.00  |   (22)  all_27_0 = all_25_0
% 8.61/2.00  | 
% 8.61/2.00  | GROUND_INST: instantiating (6) with all_23_0, all_27_0, simplifying with (11),
% 8.61/2.00  |              (12), (18), (20) gives:
% 8.61/2.00  |   (23)  all_27_0 = all_23_0
% 8.61/2.00  | 
% 8.61/2.00  | COMBINE_EQS: (22), (23) imply:
% 8.61/2.00  |   (24)  all_25_0 = all_23_0
% 8.61/2.00  | 
% 8.61/2.00  | SIMP: (24) implies:
% 8.61/2.00  |   (25)  all_25_0 = all_23_0
% 8.61/2.00  | 
% 8.61/2.00  | DELTA: instantiating (21) with fresh symbol all_35_0 gives:
% 8.61/2.00  |   (26)   ~ (all_35_0 = 0) & cc(all_27_0) = all_35_0
% 8.61/2.00  | 
% 8.61/2.00  | ALPHA: (26) implies:
% 8.61/2.00  |   (27)   ~ (all_35_0 = 0)
% 8.61/2.00  |   (28)  cc(all_27_0) = all_35_0
% 8.61/2.00  | 
% 8.61/2.00  | REDUCE: (23), (28) imply:
% 8.61/2.00  |   (29)  cc(all_23_0) = all_35_0
% 8.61/2.00  | 
% 8.61/2.00  | REDUCE: (15), (25) imply:
% 8.61/2.00  |   (30)  cc(all_23_0) = 0
% 8.61/2.00  | 
% 8.61/2.00  | GROUND_INST: instantiating (4) with 0, all_35_0, all_23_0, simplifying with
% 8.61/2.00  |              (29), (30) gives:
% 8.61/2.00  |   (31)  all_35_0 = 0
% 8.61/2.00  | 
% 8.61/2.00  | REDUCE: (27), (31) imply:
% 8.61/2.00  |   (32)  $false
% 8.61/2.00  | 
% 8.61/2.00  | CLOSE: (32) is inconsistent.
% 8.61/2.00  | 
% 8.61/2.00  End of proof
% 8.61/2.00  % SZS output end Proof for theBenchmark
% 8.61/2.00  
% 8.61/2.00  1367ms
%------------------------------------------------------------------------------