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Princess---230619.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:17:19 AM UTC 2026

% Result   : Theorem 7.21s 1.77s
% Output   : Proof 15.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep  7 11:48:38 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.37  OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release.
% 0.67/0.70  ________       _____
% 0.67/0.70  ___  __ \_________(_)________________________________
% 0.67/0.70  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.67/0.70  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.67/0.70  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.67/0.70  
% 0.67/0.71  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.67/0.71  (2023-06-19)
% 0.67/0.71  
% 0.67/0.71  (c) Philipp Rümmer, 2009-2023
% 0.67/0.71  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.67/0.71                Amanda Stjerna.
% 0.67/0.71  Free software under BSD-3-Clause.
% 0.67/0.71  
% 0.67/0.71  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.67/0.71  
% 0.67/0.71  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.73  Running up to 7 provers in parallel.
% 0.67/0.74  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.67/0.74  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.67/0.74  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.67/0.74  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.67/0.74  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.67/0.74  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.67/0.74  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.12/1.13  Prover 1: Preprocessing ...
% 2.12/1.13  Prover 4: Preprocessing ...
% 2.93/1.18  Prover 5: Preprocessing ...
% 2.93/1.18  Prover 0: Preprocessing ...
% 2.93/1.19  Prover 3: Preprocessing ...
% 2.93/1.19  Prover 2: Preprocessing ...
% 2.93/1.19  Prover 6: Preprocessing ...
% 4.84/1.48  Prover 5: Constructing countermodel ...
% 4.84/1.49  Prover 2: Constructing countermodel ...
% 5.66/1.54  Prover 3: Constructing countermodel ...
% 5.66/1.55  Prover 6: Constructing countermodel ...
% 5.66/1.55  Prover 1: Constructing countermodel ...
% 7.21/1.77  Prover 5: proved (1027ms)
% 7.21/1.77  
% 7.21/1.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.21/1.77  
% 7.21/1.77  Prover 3: stopped
% 7.21/1.78  Prover 2: stopped
% 7.21/1.78  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.21/1.78  Prover 6: stopped
% 7.21/1.78  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.21/1.78  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.21/1.79  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.02/1.84  Prover 10: Preprocessing ...
% 8.02/1.86  Prover 8: Preprocessing ...
% 8.02/1.86  Prover 7: Preprocessing ...
% 8.02/1.88  Prover 11: Preprocessing ...
% 8.76/1.96  Prover 10: Constructing countermodel ...
% 8.76/2.00  Prover 7: Constructing countermodel ...
% 8.76/2.04  Prover 8: Warning: ignoring some quantifiers
% 9.94/2.06  Prover 8: Constructing countermodel ...
% 11.08/2.24  Prover 10: Found proof (size 17)
% 11.08/2.24  Prover 10: proved (462ms)
% 11.08/2.25  Prover 1: stopped
% 11.08/2.25  Prover 7: stopped
% 11.08/2.26  Prover 8: stopped
% 12.52/2.47  Prover 4: Constructing countermodel ...
% 13.21/2.52  Prover 4: stopped
% 14.41/2.75  Prover 0: Proving ...
% 14.41/2.78  Prover 0: stopped
% 14.97/2.82  Prover 11: Constructing countermodel ...
% 14.97/2.84  Prover 11: stopped
% 14.97/2.84  
% 14.97/2.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.97/2.84  
% 14.97/2.86  % SZS output start Proof for theBenchmark
% 14.97/2.87  Assumptions after simplification:
% 14.97/2.87  ---------------------------------
% 14.97/2.87  
% 14.97/2.87    (a2_FOL)
% 15.42/2.91     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 15.42/2.91      $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i] : ( ~ $i(v9) | 
% 15.42/2.91      ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~
% 15.42/2.91      $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ greater(v9, v8) |  ~ accountability(v1,
% 15.42/2.91        v7, v3) |  ~ accountability(v0, v6, v2) |  ~ reliability(v1, v5, v3) |  ~
% 15.42/2.91      reliability(v0, v4, v2) |  ~ reproducibility(v1, v9, v3) |  ~
% 15.42/2.91      reproducibility(v0, v8, v2) |  ~ organization(v1, v3) |  ~ organization(v0,
% 15.42/2.91        v2) | greater(v7, v6)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3:
% 15.42/2.91      $i] :  ! [v4: $i] :  ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] : 
% 15.42/2.91    ! [v9: $i] : ( ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ $i(v5) |  ~
% 15.42/2.91      $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ greater(v9, v8)
% 15.42/2.91      |  ~ accountability(v1, v7, v3) |  ~ accountability(v0, v6, v2) |  ~
% 15.42/2.91      reliability(v1, v5, v3) |  ~ reliability(v0, v4, v2) |  ~
% 15.42/2.91      reproducibility(v1, v9, v3) |  ~ reproducibility(v0, v8, v2) |  ~
% 15.42/2.91      organization(v1, v3) |  ~ organization(v0, v2) | greater(v5, v4)) &  ! [v0:
% 15.42/2.91      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i] : 
% 15.42/2.91    ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i] : ( ~ $i(v9) |  ~ $i(v8)
% 15.42/2.91      |  ~ $i(v7) |  ~ $i(v6) |  ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 15.42/2.91      $i(v1) |  ~ $i(v0) |  ~ greater(v7, v6) |  ~ greater(v5, v4) |  ~
% 15.42/2.91      accountability(v1, v7, v3) |  ~ accountability(v0, v6, v2) |  ~
% 15.42/2.91      reliability(v1, v5, v3) |  ~ reliability(v0, v4, v2) |  ~
% 15.42/2.91      reproducibility(v1, v9, v3) |  ~ reproducibility(v0, v8, v2) |  ~
% 15.42/2.91      organization(v1, v3) |  ~ organization(v0, v2) | greater(v9, v8))
% 15.42/2.91  
% 15.42/2.91    (mp3)
% 15.42/2.91     ! [v0: $i] :  ! [v1: $i] : ( ~ $i(v1) |  ~ $i(v0) |  ~ organization(v0, v1) |
% 15.42/2.91       ? [v2: $i] : ($i(v2) & reproducibility(v0, v2, v1)))
% 15.42/2.91  
% 15.42/2.91    (t10_FOL)
% 15.42/2.92     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 15.42/2.92      $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :
% 15.42/2.92    ($i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 15.42/2.92      $i(v2) & $i(v1) & $i(v0) & size(v1, v8, v10) & size(v0, v7, v9) & class(v1,
% 15.42/2.92        v2, v10) & class(v0, v2, v9) & reorganization_free(v1, v10, v10) &
% 15.42/2.92      reorganization_free(v0, v9, v9) & greater(v8, v7) & accountability(v1, v6,
% 15.42/2.92        v10) & accountability(v0, v5, v9) & reliability(v1, v4, v10) &
% 15.42/2.92      reliability(v0, v3, v9) & organization(v1, v10) & organization(v0, v9) & ( ~
% 15.42/2.92        greater(v6, v5) |  ~ greater(v4, v3)))
% 15.42/2.92  
% 15.42/2.92    (t9_FOL)
% 15.42/2.92     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 15.42/2.92      $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] : ( ~ $i(v8) |  ~ $i(v7) |  ~
% 15.42/2.92      $i(v6) |  ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 15.42/2.92      $i(v0) |  ~ size(v1, v6, v8) |  ~ size(v0, v5, v7) |  ~ class(v1, v2, v8) | 
% 15.42/2.92      ~ class(v0, v2, v7) |  ~ reorganization_free(v1, v8, v8) |  ~
% 15.42/2.92      reorganization_free(v0, v7, v7) |  ~ greater(v6, v5) |  ~
% 15.42/2.92      reproducibility(v1, v4, v8) |  ~ reproducibility(v0, v3, v7) |  ~
% 15.42/2.92      organization(v1, v8) |  ~ organization(v0, v7) | greater(v4, v3))
% 15.42/2.92  
% 15.42/2.92  Those formulas are unsatisfiable:
% 15.42/2.92  ---------------------------------
% 15.42/2.92  
% 15.42/2.92  Begin of proof
% 15.42/2.92  | 
% 15.42/2.92  | ALPHA: (a2_FOL) implies:
% 15.42/2.93  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 15.42/2.93  |        ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i] : (
% 15.42/2.93  |          ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ $i(v5) |  ~ $i(v4)
% 15.42/2.93  |          |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ greater(v9, v8)
% 15.42/2.93  |          |  ~ accountability(v1, v7, v3) |  ~ accountability(v0, v6, v2) |  ~
% 15.42/2.93  |          reliability(v1, v5, v3) |  ~ reliability(v0, v4, v2) |  ~
% 15.42/2.93  |          reproducibility(v1, v9, v3) |  ~ reproducibility(v0, v8, v2) |  ~
% 15.42/2.93  |          organization(v1, v3) |  ~ organization(v0, v2) | greater(v5, v4))
% 15.42/2.93  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 15.42/2.93  |        ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i] : (
% 15.42/2.93  |          ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~ $i(v5) |  ~ $i(v4)
% 15.42/2.93  |          |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ~ greater(v9, v8)
% 15.42/2.93  |          |  ~ accountability(v1, v7, v3) |  ~ accountability(v0, v6, v2) |  ~
% 15.42/2.93  |          reliability(v1, v5, v3) |  ~ reliability(v0, v4, v2) |  ~
% 15.42/2.93  |          reproducibility(v1, v9, v3) |  ~ reproducibility(v0, v8, v2) |  ~
% 15.42/2.93  |          organization(v1, v3) |  ~ organization(v0, v2) | greater(v7, v6))
% 15.42/2.93  | 
% 15.42/2.93  | DELTA: instantiating (t10_FOL) with fresh symbols all_5_0, all_5_1, all_5_2,
% 15.42/2.93  |        all_5_3, all_5_4, all_5_5, all_5_6, all_5_7, all_5_8, all_5_9, all_5_10
% 15.42/2.93  |        gives:
% 15.42/2.94  |   (3)  $i(all_5_0) & $i(all_5_1) & $i(all_5_2) & $i(all_5_3) & $i(all_5_4) &
% 15.42/2.94  |        $i(all_5_5) & $i(all_5_6) & $i(all_5_7) & $i(all_5_8) & $i(all_5_9) &
% 15.42/2.94  |        $i(all_5_10) & size(all_5_9, all_5_2, all_5_0) & size(all_5_10,
% 15.42/2.94  |          all_5_3, all_5_1) & class(all_5_9, all_5_8, all_5_0) &
% 15.42/2.94  |        class(all_5_10, all_5_8, all_5_1) & reorganization_free(all_5_9,
% 15.42/2.94  |          all_5_0, all_5_0) & reorganization_free(all_5_10, all_5_1, all_5_1) &
% 15.42/2.94  |        greater(all_5_2, all_5_3) & accountability(all_5_9, all_5_4, all_5_0) &
% 15.42/2.94  |        accountability(all_5_10, all_5_5, all_5_1) & reliability(all_5_9,
% 15.42/2.94  |          all_5_6, all_5_0) & reliability(all_5_10, all_5_7, all_5_1) &
% 15.42/2.94  |        organization(all_5_9, all_5_0) & organization(all_5_10, all_5_1) & ( ~
% 15.42/2.94  |          greater(all_5_4, all_5_5) |  ~ greater(all_5_6, all_5_7))
% 15.42/2.94  | 
% 15.42/2.94  | ALPHA: (3) implies:
% 15.42/2.94  |   (4)  organization(all_5_10, all_5_1)
% 15.42/2.94  |   (5)  organization(all_5_9, all_5_0)
% 15.42/2.94  |   (6)  reliability(all_5_10, all_5_7, all_5_1)
% 15.42/2.94  |   (7)  reliability(all_5_9, all_5_6, all_5_0)
% 15.42/2.94  |   (8)  accountability(all_5_10, all_5_5, all_5_1)
% 15.42/2.94  |   (9)  accountability(all_5_9, all_5_4, all_5_0)
% 15.42/2.94  |   (10)  greater(all_5_2, all_5_3)
% 15.42/2.94  |   (11)  reorganization_free(all_5_10, all_5_1, all_5_1)
% 15.42/2.94  |   (12)  reorganization_free(all_5_9, all_5_0, all_5_0)
% 15.42/2.94  |   (13)  class(all_5_10, all_5_8, all_5_1)
% 15.42/2.94  |   (14)  class(all_5_9, all_5_8, all_5_0)
% 15.42/2.94  |   (15)  size(all_5_10, all_5_3, all_5_1)
% 15.42/2.94  |   (16)  size(all_5_9, all_5_2, all_5_0)
% 15.42/2.94  |   (17)  $i(all_5_10)
% 15.42/2.94  |   (18)  $i(all_5_9)
% 15.42/2.94  |   (19)  $i(all_5_8)
% 15.42/2.95  |   (20)  $i(all_5_7)
% 15.42/2.95  |   (21)  $i(all_5_6)
% 15.42/2.95  |   (22)  $i(all_5_5)
% 15.42/2.95  |   (23)  $i(all_5_4)
% 15.42/2.95  |   (24)  $i(all_5_3)
% 15.42/2.95  |   (25)  $i(all_5_2)
% 15.42/2.95  |   (26)  $i(all_5_1)
% 15.42/2.95  |   (27)  $i(all_5_0)
% 15.42/2.95  |   (28)   ~ greater(all_5_4, all_5_5) |  ~ greater(all_5_6, all_5_7)
% 15.42/2.95  | 
% 15.42/2.95  | GROUND_INST: instantiating (mp3) with all_5_10, all_5_1, simplifying with (4),
% 15.42/2.95  |              (17), (26) gives:
% 15.42/2.95  |   (29)   ? [v0: $i] : ($i(v0) & reproducibility(all_5_10, v0, all_5_1))
% 15.42/2.95  | 
% 15.42/2.95  | GROUND_INST: instantiating (mp3) with all_5_9, all_5_0, simplifying with (5),
% 15.42/2.95  |              (18), (27) gives:
% 15.42/2.95  |   (30)   ? [v0: $i] : ($i(v0) & reproducibility(all_5_9, v0, all_5_0))
% 15.42/2.95  | 
% 15.42/2.95  | DELTA: instantiating (30) with fresh symbol all_12_0 gives:
% 15.42/2.95  |   (31)  $i(all_12_0) & reproducibility(all_5_9, all_12_0, all_5_0)
% 15.42/2.95  | 
% 15.42/2.95  | ALPHA: (31) implies:
% 15.42/2.95  |   (32)  reproducibility(all_5_9, all_12_0, all_5_0)
% 15.42/2.95  |   (33)  $i(all_12_0)
% 15.42/2.95  | 
% 15.42/2.95  | DELTA: instantiating (29) with fresh symbol all_14_0 gives:
% 15.42/2.95  |   (34)  $i(all_14_0) & reproducibility(all_5_10, all_14_0, all_5_1)
% 15.42/2.95  | 
% 15.42/2.95  | ALPHA: (34) implies:
% 15.42/2.95  |   (35)  reproducibility(all_5_10, all_14_0, all_5_1)
% 15.42/2.95  |   (36)  $i(all_14_0)
% 15.42/2.95  | 
% 15.42/2.96  | GROUND_INST: instantiating (t9_FOL) with all_5_10, all_5_9, all_5_8, all_14_0,
% 15.42/2.96  |              all_12_0, all_5_3, all_5_2, all_5_1, all_5_0, simplifying with
% 15.42/2.96  |              (4), (5), (10), (11), (12), (13), (14), (15), (16), (17), (18),
% 15.42/2.96  |              (19), (24), (25), (26), (27), (32), (33), (35), (36) gives:
% 15.42/2.96  |   (37)  greater(all_12_0, all_14_0)
% 15.42/2.96  | 
% 15.42/2.96  | GROUND_INST: instantiating (2) with all_5_10, all_5_9, all_5_1, all_5_0,
% 15.42/2.96  |              all_5_7, all_5_6, all_5_5, all_5_4, all_14_0, all_12_0,
% 15.42/2.96  |              simplifying with (4), (5), (6), (7), (8), (9), (17), (18), (20),
% 15.42/2.96  |              (21), (22), (23), (26), (27), (32), (33), (35), (36), (37) gives:
% 15.42/2.96  |   (38)  greater(all_5_4, all_5_5)
% 15.42/2.96  | 
% 15.42/2.97  | GROUND_INST: instantiating (1) with all_5_10, all_5_9, all_5_1, all_5_0,
% 15.42/2.97  |              all_5_7, all_5_6, all_5_5, all_5_4, all_14_0, all_12_0,
% 15.42/2.97  |              simplifying with (4), (5), (6), (7), (8), (9), (17), (18), (20),
% 15.42/2.97  |              (21), (22), (23), (26), (27), (32), (33), (35), (36), (37) gives:
% 15.42/2.97  |   (39)  greater(all_5_6, all_5_7)
% 15.42/2.97  | 
% 15.42/2.97  | BETA: splitting (28) gives:
% 15.42/2.97  | 
% 15.42/2.97  | Case 1:
% 15.42/2.97  | | 
% 15.42/2.97  | |   (40)   ~ greater(all_5_4, all_5_5)
% 15.42/2.97  | | 
% 15.42/2.97  | | PRED_UNIFY: (38), (40) imply:
% 15.42/2.97  | |   (41)  $false
% 15.42/2.97  | | 
% 15.42/2.97  | | CLOSE: (41) is inconsistent.
% 15.42/2.97  | | 
% 15.42/2.97  | Case 2:
% 15.42/2.97  | | 
% 15.42/2.97  | |   (42)   ~ greater(all_5_6, all_5_7)
% 15.42/2.97  | | 
% 15.42/2.97  | | PRED_UNIFY: (39), (42) imply:
% 15.42/2.97  | |   (43)  $false
% 15.42/2.97  | | 
% 15.42/2.97  | | CLOSE: (43) is inconsistent.
% 15.42/2.97  | | 
% 15.42/2.97  | End of split
% 15.42/2.97  | 
% 15.42/2.97  End of proof
% 15.42/2.97  % SZS output end Proof for theBenchmark
% 15.42/2.97  
% 15.42/2.97  2263ms
%------------------------------------------------------------------------------