TSTP Solution File: NLP258+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NLP258+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 : n026.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 10:04:56 EDT 2023

% Result   : Theorem 19.45s 3.73s
% Output   : Proof 30.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NLP258+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu Aug 24 11:32:01 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.59  ________       _____
% 0.16/0.59  ___  __ \_________(_)________________________________
% 0.16/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.16/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.16/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.16/0.59  
% 0.16/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.59  (2023-06-19)
% 0.16/0.59  
% 0.16/0.59  (c) Philipp Rümmer, 2009-2023
% 0.16/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.59                Amanda Stjerna.
% 0.16/0.59  Free software under BSD-3-Clause.
% 0.16/0.59  
% 0.16/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.59  
% 0.16/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.16/0.61  Running up to 7 provers in parallel.
% 0.16/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.16/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.84/1.42  Prover 1: Preprocessing ...
% 3.84/1.43  Prover 4: Preprocessing ...
% 3.84/1.47  Prover 0: Preprocessing ...
% 3.84/1.47  Prover 3: Preprocessing ...
% 3.84/1.47  Prover 5: Preprocessing ...
% 3.84/1.47  Prover 6: Preprocessing ...
% 3.84/1.47  Prover 2: Preprocessing ...
% 10.22/2.35  Prover 2: Constructing countermodel ...
% 10.22/2.35  Prover 5: Constructing countermodel ...
% 12.07/2.58  Prover 6: Proving ...
% 12.44/2.64  Prover 3: Constructing countermodel ...
% 13.04/2.77  Prover 1: Constructing countermodel ...
% 13.65/3.07  Prover 3: gave up
% 13.65/3.08  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.14/3.31  Prover 7: Preprocessing ...
% 18.41/3.45  Prover 7: Constructing countermodel ...
% 19.45/3.59  Prover 1: gave up
% 19.45/3.62  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.45/3.73  Prover 2: proved (3109ms)
% 19.45/3.73  
% 19.45/3.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.45/3.73  
% 19.45/3.75  Prover 5: stopped
% 19.45/3.75  Prover 6: stopped
% 19.45/3.77  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.45/3.77  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.45/3.77  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 21.50/3.89  Prover 8: Preprocessing ...
% 22.01/3.96  Prover 10: Preprocessing ...
% 22.01/3.99  Prover 11: Preprocessing ...
% 22.44/4.03  Prover 13: Preprocessing ...
% 23.46/4.15  Prover 10: Constructing countermodel ...
% 23.46/4.15  Prover 13: Constructing countermodel ...
% 23.81/4.23  Prover 7: Found proof (size 18)
% 23.81/4.23  Prover 7: proved (1148ms)
% 23.81/4.23  Prover 10: stopped
% 23.81/4.24  Prover 13: stopped
% 24.24/4.33  Prover 8: Warning: ignoring some quantifiers
% 24.24/4.36  Prover 8: Constructing countermodel ...
% 24.24/4.37  Prover 8: stopped
% 27.20/4.82  Prover 11: stopped
% 29.70/6.10  Prover 0: stopped
% 29.81/6.12  Prover 4: stopped
% 29.81/6.12  
% 29.81/6.12  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.81/6.12  
% 29.81/6.13  % SZS output start Proof for theBenchmark
% 29.81/6.14  Assumptions after simplification:
% 29.81/6.14  ---------------------------------
% 29.81/6.14  
% 29.81/6.14    (ax49)
% 29.81/6.15     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 29.81/6.15       ~ accessible_world(v1, v2) |  ~ man(v1, v0) | man(v2, v0))
% 29.81/6.15  
% 29.81/6.15    (co1)
% 29.96/6.17     ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5:
% 29.96/6.17      $i] :  ? [v6: $i] :  ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 29.96/6.17      $i(v3) & $i(v2) & $i(v1) & $i(v0) & actual_world(v0) & present(v0, v3) &
% 29.96/6.17      agent(v0, v3, v1) & think_believe_consider(v0, v3) & theme(v0, v3, v4) &
% 29.96/6.17      be(v0, v7, v6, v6) & of(v0, v5, v6) & of(v0, v2, v1) & accessible_world(v0,
% 29.96/6.17        v4) & proposition(v0, v4) & event(v0, v3) & state(v0, v7) & man(v0, v6) &
% 29.96/6.17      man(v0, v1) & vincent_forename(v0, v2) & forename(v0, v5) & forename(v0, v2)
% 29.96/6.17      & jules_forename(v0, v5) &  ! [v8: $i] :  ! [v9: $i] :  ! [v10: $i] :  !
% 29.96/6.17      [v11: $i] :  ! [v12: $i] :  ! [v13: $i] :  ! [v14: $i] :  ! [v15: $i] :  !
% 29.96/6.17      [v16: $i] :  ! [v17: $i] :  ! [v18: $i] :  ! [v19: $i] :  ! [v20: $i] : ( ~
% 29.96/6.17        $i(v20) |  ~ $i(v19) |  ~ $i(v18) |  ~ $i(v17) |  ~ $i(v16) |  ~ $i(v15) |
% 29.96/6.17         ~ $i(v14) |  ~ $i(v13) |  ~ $i(v12) |  ~ $i(v11) |  ~ $i(v10) |  ~ $i(v9)
% 29.96/6.17        |  ~ $i(v8) |  ~ actual_world(v8) |  ~ present(v19, v20) |  ~ present(v8,
% 29.96/6.17          v18) |  ~ present(v8, v13) |  ~ agent(v19, v20, v16) |  ~ agent(v8, v18,
% 29.96/6.17          v11) |  ~ agent(v8, v13, v11) |  ~ think_believe_consider(v8, v18) |  ~
% 29.96/6.17        think_believe_consider(v8, v13) |  ~ theme(v8, v18, v19) |  ~ theme(v8,
% 29.96/6.17          v13, v14) |  ~ be(v8, v17, v16, v16) |  ~ of(v8, v15, v16) |  ~ of(v8,
% 29.96/6.17          v12, v11) |  ~ of(v8, v10, v11) |  ~ of(v8, v9, v16) |  ~
% 29.96/6.17        accessible_world(v8, v19) |  ~ accessible_world(v8, v14) |  ~ smoke(v19,
% 29.96/6.17          v20) |  ~ proposition(v8, v19) |  ~ proposition(v8, v14) |  ~ event(v19,
% 29.96/6.17          v20) |  ~ event(v8, v18) |  ~ event(v8, v13) |  ~ state(v8, v17) |  ~
% 29.96/6.17        man(v8, v16) |  ~ man(v8, v11) |  ~ vincent_forename(v8, v12) |  ~
% 29.96/6.17        vincent_forename(v8, v10) |  ~ forename(v8, v15) |  ~ forename(v8, v12) | 
% 29.96/6.17        ~ forename(v8, v10) |  ~ forename(v8, v9) |  ~ jules_forename(v8, v15) | 
% 29.96/6.17        ~ jules_forename(v8, v9) |  ? [v21: $i] : ($i(v21) & man(v14, v21) &  !
% 29.96/6.17          [v22: $i] : ( ~ $i(v22) |  ~ present(v14, v22) |  ~ agent(v14, v22, v21)
% 29.96/6.17            |  ~ smoke(v14, v22) |  ~ event(v14, v22)))) &  ! [v8: $i] : ( ~
% 29.96/6.17        $i(v8) |  ~ man(v4, v8) |  ? [v9: $i] : ($i(v9) & present(v4, v9) &
% 29.96/6.17          agent(v4, v9, v8) & smoke(v4, v9) & event(v4, v9))))
% 29.96/6.17  
% 29.96/6.17  Further assumptions not needed in the proof:
% 29.96/6.17  --------------------------------------------
% 29.96/6.17  ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax2, ax20,
% 29.96/6.17  ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32,
% 29.96/6.17  ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44,
% 29.96/6.17  ax45, ax46, ax47, ax48, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57,
% 29.96/6.17  ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69,
% 29.96/6.17  ax7, ax70, ax71, ax8, ax9
% 29.96/6.17  
% 29.96/6.17  Those formulas are unsatisfiable:
% 29.96/6.17  ---------------------------------
% 29.96/6.17  
% 29.96/6.17  Begin of proof
% 29.96/6.18  | 
% 29.96/6.18  | DELTA: instantiating (co1) with fresh symbols all_73_0, all_73_1, all_73_2,
% 29.96/6.18  |        all_73_3, all_73_4, all_73_5, all_73_6, all_73_7 gives:
% 29.96/6.20  |   (1)  $i(all_73_0) & $i(all_73_1) & $i(all_73_2) & $i(all_73_3) &
% 29.96/6.20  |        $i(all_73_4) & $i(all_73_5) & $i(all_73_6) & $i(all_73_7) &
% 29.96/6.20  |        actual_world(all_73_7) & present(all_73_7, all_73_4) & agent(all_73_7,
% 29.96/6.20  |          all_73_4, all_73_6) & think_believe_consider(all_73_7, all_73_4) &
% 29.96/6.20  |        theme(all_73_7, all_73_4, all_73_3) & be(all_73_7, all_73_0, all_73_1,
% 29.96/6.20  |          all_73_1) & of(all_73_7, all_73_2, all_73_1) & of(all_73_7, all_73_5,
% 29.96/6.20  |          all_73_6) & accessible_world(all_73_7, all_73_3) &
% 29.96/6.20  |        proposition(all_73_7, all_73_3) & event(all_73_7, all_73_4) &
% 29.96/6.20  |        state(all_73_7, all_73_0) & man(all_73_7, all_73_1) & man(all_73_7,
% 29.96/6.20  |          all_73_6) & vincent_forename(all_73_7, all_73_5) & forename(all_73_7,
% 29.96/6.20  |          all_73_2) & forename(all_73_7, all_73_5) & jules_forename(all_73_7,
% 29.96/6.20  |          all_73_2) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : 
% 29.96/6.20  |        ! [v4: $i] :  ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  !
% 29.96/6.20  |        [v9: $i] :  ! [v10: $i] :  ! [v11: $i] :  ! [v12: $i] : ( ~ $i(v12) | 
% 29.96/6.20  |          ~ $i(v11) |  ~ $i(v10) |  ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~
% 29.96/6.20  |          $i(v6) |  ~ $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) | 
% 29.96/6.20  |          ~ $i(v0) |  ~ actual_world(v0) |  ~ present(v11, v12) |  ~
% 29.96/6.20  |          present(v0, v10) |  ~ present(v0, v5) |  ~ agent(v11, v12, v8) |  ~
% 29.96/6.20  |          agent(v0, v10, v3) |  ~ agent(v0, v5, v3) |  ~
% 29.96/6.20  |          think_believe_consider(v0, v10) |  ~ think_believe_consider(v0, v5) |
% 29.96/6.20  |           ~ theme(v0, v10, v11) |  ~ theme(v0, v5, v6) |  ~ be(v0, v9, v8, v8)
% 29.96/6.20  |          |  ~ of(v0, v7, v8) |  ~ of(v0, v4, v3) |  ~ of(v0, v2, v3) |  ~
% 29.96/6.20  |          of(v0, v1, v8) |  ~ accessible_world(v0, v11) |  ~
% 29.96/6.20  |          accessible_world(v0, v6) |  ~ smoke(v11, v12) |  ~ proposition(v0,
% 29.96/6.20  |            v11) |  ~ proposition(v0, v6) |  ~ event(v11, v12) |  ~ event(v0,
% 29.96/6.20  |            v10) |  ~ event(v0, v5) |  ~ state(v0, v9) |  ~ man(v0, v8) |  ~
% 29.96/6.20  |          man(v0, v3) |  ~ vincent_forename(v0, v4) |  ~ vincent_forename(v0,
% 29.96/6.20  |            v2) |  ~ forename(v0, v7) |  ~ forename(v0, v4) |  ~ forename(v0,
% 29.96/6.20  |            v2) |  ~ forename(v0, v1) |  ~ jules_forename(v0, v7) |  ~
% 29.96/6.20  |          jules_forename(v0, v1) |  ? [v13: $i] : ($i(v13) & man(v6, v13) &  !
% 29.96/6.20  |            [v14: $i] : ( ~ $i(v14) |  ~ present(v6, v14) |  ~ agent(v6, v14,
% 29.96/6.20  |                v13) |  ~ smoke(v6, v14) |  ~ event(v6, v14)))) &  ! [v0: $i] :
% 29.96/6.20  |        ( ~ $i(v0) |  ~ man(all_73_3, v0) |  ? [v1: $i] : ($i(v1) &
% 29.96/6.20  |            present(all_73_3, v1) & agent(all_73_3, v1, v0) & smoke(all_73_3,
% 29.96/6.20  |              v1) & event(all_73_3, v1)))
% 29.96/6.20  | 
% 29.96/6.20  | ALPHA: (1) implies:
% 29.96/6.21  |   (2)  jules_forename(all_73_7, all_73_2)
% 29.96/6.21  |   (3)  forename(all_73_7, all_73_5)
% 29.96/6.21  |   (4)  forename(all_73_7, all_73_2)
% 29.96/6.21  |   (5)  vincent_forename(all_73_7, all_73_5)
% 29.96/6.22  |   (6)  man(all_73_7, all_73_6)
% 29.96/6.22  |   (7)  man(all_73_7, all_73_1)
% 29.96/6.22  |   (8)  state(all_73_7, all_73_0)
% 29.96/6.22  |   (9)  event(all_73_7, all_73_4)
% 29.96/6.22  |   (10)  proposition(all_73_7, all_73_3)
% 29.96/6.22  |   (11)  accessible_world(all_73_7, all_73_3)
% 29.96/6.22  |   (12)  of(all_73_7, all_73_5, all_73_6)
% 29.96/6.22  |   (13)  of(all_73_7, all_73_2, all_73_1)
% 29.96/6.22  |   (14)  be(all_73_7, all_73_0, all_73_1, all_73_1)
% 29.96/6.22  |   (15)  theme(all_73_7, all_73_4, all_73_3)
% 29.96/6.22  |   (16)  think_believe_consider(all_73_7, all_73_4)
% 29.96/6.22  |   (17)  agent(all_73_7, all_73_4, all_73_6)
% 29.96/6.22  |   (18)  present(all_73_7, all_73_4)
% 29.96/6.22  |   (19)  actual_world(all_73_7)
% 29.96/6.22  |   (20)  $i(all_73_7)
% 29.96/6.22  |   (21)  $i(all_73_6)
% 29.96/6.22  |   (22)  $i(all_73_5)
% 29.96/6.22  |   (23)  $i(all_73_4)
% 29.96/6.22  |   (24)  $i(all_73_3)
% 29.96/6.22  |   (25)  $i(all_73_2)
% 29.96/6.22  |   (26)  $i(all_73_1)
% 29.96/6.22  |   (27)  $i(all_73_0)
% 29.96/6.22  |   (28)   ! [v0: $i] : ( ~ $i(v0) |  ~ man(all_73_3, v0) |  ? [v1: $i] :
% 29.96/6.22  |           ($i(v1) & present(all_73_3, v1) & agent(all_73_3, v1, v0) &
% 29.96/6.22  |             smoke(all_73_3, v1) & event(all_73_3, v1)))
% 29.96/6.23  |   (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 29.96/6.23  |         ! [v5: $i] :  ! [v6: $i] :  ! [v7: $i] :  ! [v8: $i] :  ! [v9: $i] : 
% 29.96/6.23  |         ! [v10: $i] :  ! [v11: $i] :  ! [v12: $i] : ( ~ $i(v12) |  ~ $i(v11) |
% 29.96/6.23  |            ~ $i(v10) |  ~ $i(v9) |  ~ $i(v8) |  ~ $i(v7) |  ~ $i(v6) |  ~
% 29.96/6.23  |           $i(v5) |  ~ $i(v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 29.96/6.23  |            ~ actual_world(v0) |  ~ present(v11, v12) |  ~ present(v0, v10) | 
% 29.96/6.23  |           ~ present(v0, v5) |  ~ agent(v11, v12, v8) |  ~ agent(v0, v10, v3) |
% 29.96/6.23  |            ~ agent(v0, v5, v3) |  ~ think_believe_consider(v0, v10) |  ~
% 29.96/6.23  |           think_believe_consider(v0, v5) |  ~ theme(v0, v10, v11) |  ~
% 29.96/6.23  |           theme(v0, v5, v6) |  ~ be(v0, v9, v8, v8) |  ~ of(v0, v7, v8) |  ~
% 29.96/6.23  |           of(v0, v4, v3) |  ~ of(v0, v2, v3) |  ~ of(v0, v1, v8) |  ~
% 29.96/6.23  |           accessible_world(v0, v11) |  ~ accessible_world(v0, v6) |  ~
% 29.96/6.23  |           smoke(v11, v12) |  ~ proposition(v0, v11) |  ~ proposition(v0, v6) |
% 29.96/6.23  |            ~ event(v11, v12) |  ~ event(v0, v10) |  ~ event(v0, v5) |  ~
% 29.96/6.24  |           state(v0, v9) |  ~ man(v0, v8) |  ~ man(v0, v3) |  ~
% 29.96/6.24  |           vincent_forename(v0, v4) |  ~ vincent_forename(v0, v2) |  ~
% 29.96/6.24  |           forename(v0, v7) |  ~ forename(v0, v4) |  ~ forename(v0, v2) |  ~
% 29.96/6.24  |           forename(v0, v1) |  ~ jules_forename(v0, v7) |  ~ jules_forename(v0,
% 29.96/6.24  |             v1) |  ? [v13: $i] : ($i(v13) & man(v6, v13) &  ! [v14: $i] : ( ~
% 29.96/6.24  |               $i(v14) |  ~ present(v6, v14) |  ~ agent(v6, v14, v13) |  ~
% 29.96/6.24  |               smoke(v6, v14) |  ~ event(v6, v14))))
% 29.96/6.24  | 
% 29.96/6.24  | GROUND_INST: instantiating (28) with all_73_1, simplifying with (26) gives:
% 29.96/6.24  |   (30)   ~ man(all_73_3, all_73_1) |  ? [v0: $i] : ($i(v0) & present(all_73_3,
% 29.96/6.24  |             v0) & agent(all_73_3, v0, all_73_1) & smoke(all_73_3, v0) &
% 29.96/6.24  |           event(all_73_3, v0))
% 29.96/6.24  | 
% 29.96/6.24  | GROUND_INST: instantiating (ax49) with all_73_1, all_73_7, all_73_3,
% 29.96/6.24  |              simplifying with (7), (11), (20), (24), (26) gives:
% 29.96/6.24  |   (31)  man(all_73_3, all_73_1)
% 29.96/6.24  | 
% 29.96/6.24  | BETA: splitting (30) gives:
% 29.96/6.24  | 
% 29.96/6.24  | Case 1:
% 29.96/6.24  | | 
% 29.96/6.24  | |   (32)   ~ man(all_73_3, all_73_1)
% 29.96/6.24  | | 
% 29.96/6.24  | | PRED_UNIFY: (31), (32) imply:
% 29.96/6.24  | |   (33)  $false
% 29.96/6.24  | | 
% 29.96/6.24  | | CLOSE: (33) is inconsistent.
% 29.96/6.24  | | 
% 29.96/6.24  | Case 2:
% 29.96/6.24  | | 
% 29.96/6.24  | |   (34)   ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 29.96/6.24  | |             all_73_1) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 29.96/6.24  | | 
% 29.96/6.24  | | DELTA: instantiating (34) with fresh symbol all_91_0 gives:
% 29.96/6.25  | |   (35)  $i(all_91_0) & present(all_73_3, all_91_0) & agent(all_73_3,
% 29.96/6.25  | |           all_91_0, all_73_1) & smoke(all_73_3, all_91_0) & event(all_73_3,
% 29.96/6.25  | |           all_91_0)
% 29.96/6.25  | | 
% 29.96/6.25  | | ALPHA: (35) implies:
% 29.96/6.25  | |   (36)  event(all_73_3, all_91_0)
% 29.96/6.25  | |   (37)  smoke(all_73_3, all_91_0)
% 29.96/6.25  | |   (38)  agent(all_73_3, all_91_0, all_73_1)
% 29.96/6.25  | |   (39)  present(all_73_3, all_91_0)
% 29.96/6.25  | |   (40)  $i(all_91_0)
% 29.96/6.25  | | 
% 30.34/6.25  | | GROUND_INST: instantiating (29) with all_73_7, all_73_2, all_73_5, all_73_6,
% 30.34/6.25  | |              all_73_5, all_73_4, all_73_3, all_73_2, all_73_1, all_73_0,
% 30.34/6.25  | |              all_73_4, all_73_3, all_91_0, simplifying with (2), (3), (4),
% 30.34/6.25  | |              (5), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 30.34/6.26  | |              (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 30.34/6.26  | |              (26), (27), (36), (37), (38), (39), (40) gives:
% 30.34/6.26  | |   (41)   ? [v0: $i] : ($i(v0) & man(all_73_3, v0) &  ! [v1: $i] : ( ~ $i(v1)
% 30.34/6.26  | |             |  ~ present(all_73_3, v1) |  ~ agent(all_73_3, v1, v0) |  ~
% 30.34/6.26  | |             smoke(all_73_3, v1) |  ~ event(all_73_3, v1)))
% 30.34/6.26  | | 
% 30.34/6.26  | | DELTA: instantiating (41) with fresh symbol all_99_0 gives:
% 30.34/6.26  | |   (42)  $i(all_99_0) & man(all_73_3, all_99_0) &  ! [v0: $i] : ( ~ $i(v0) | 
% 30.34/6.26  | |           ~ present(all_73_3, v0) |  ~ agent(all_73_3, v0, all_99_0) |  ~
% 30.34/6.26  | |           smoke(all_73_3, v0) |  ~ event(all_73_3, v0))
% 30.34/6.26  | | 
% 30.34/6.26  | | ALPHA: (42) implies:
% 30.34/6.26  | |   (43)  man(all_73_3, all_99_0)
% 30.34/6.26  | |   (44)  $i(all_99_0)
% 30.34/6.26  | |   (45)   ! [v0: $i] : ( ~ $i(v0) |  ~ present(all_73_3, v0) |  ~
% 30.34/6.26  | |           agent(all_73_3, v0, all_99_0) |  ~ smoke(all_73_3, v0) |  ~
% 30.34/6.26  | |           event(all_73_3, v0))
% 30.34/6.26  | | 
% 30.34/6.26  | | GROUND_INST: instantiating (28) with all_99_0, simplifying with (43), (44)
% 30.34/6.26  | |              gives:
% 30.34/6.26  | |   (46)   ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 30.34/6.26  | |             all_99_0) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 30.34/6.26  | | 
% 30.34/6.26  | | DELTA: instantiating (46) with fresh symbol all_113_0 gives:
% 30.34/6.26  | |   (47)  $i(all_113_0) & present(all_73_3, all_113_0) & agent(all_73_3,
% 30.34/6.26  | |           all_113_0, all_99_0) & smoke(all_73_3, all_113_0) &
% 30.34/6.26  | |         event(all_73_3, all_113_0)
% 30.34/6.26  | | 
% 30.34/6.26  | | ALPHA: (47) implies:
% 30.34/6.26  | |   (48)  event(all_73_3, all_113_0)
% 30.34/6.26  | |   (49)  smoke(all_73_3, all_113_0)
% 30.34/6.26  | |   (50)  agent(all_73_3, all_113_0, all_99_0)
% 30.34/6.26  | |   (51)  present(all_73_3, all_113_0)
% 30.34/6.26  | |   (52)  $i(all_113_0)
% 30.34/6.26  | | 
% 30.34/6.26  | | GROUND_INST: instantiating (45) with all_113_0, simplifying with (48), (49),
% 30.34/6.27  | |              (50), (51), (52) gives:
% 30.34/6.27  | |   (53)  $false
% 30.34/6.27  | | 
% 30.34/6.27  | | CLOSE: (53) is inconsistent.
% 30.34/6.27  | | 
% 30.34/6.27  | End of split
% 30.34/6.27  | 
% 30.34/6.27  End of proof
% 30.34/6.27  % SZS output end Proof for theBenchmark
% 30.34/6.27  
% 30.34/6.27  5671ms
%------------------------------------------------------------------------------