TSTP Solution File: NLP257+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NLP257+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 : n032.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 13.41s 2.52s
% Output : Proof 22.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NLP257+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Thu Aug 24 12:39:12 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.13/0.49 ________ _____
% 0.13/0.49 ___ __ \_________(_)________________________________
% 0.13/0.49 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.13/0.49 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.13/0.49 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.13/0.49
% 0.13/0.49 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.13/0.49 (2023-06-19)
% 0.13/0.49
% 0.13/0.49 (c) Philipp Rümmer, 2009-2023
% 0.13/0.49 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.13/0.49 Amanda Stjerna.
% 0.13/0.49 Free software under BSD-3-Clause.
% 0.13/0.49
% 0.13/0.49 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.13/0.49
% 0.13/0.49 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.50 Running up to 7 provers in parallel.
% 0.13/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.13/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.13/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.13/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.13/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.13/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.13/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.42/1.11 Prover 1: Preprocessing ...
% 3.42/1.11 Prover 4: Preprocessing ...
% 3.42/1.15 Prover 0: Preprocessing ...
% 3.42/1.15 Prover 2: Preprocessing ...
% 3.42/1.15 Prover 5: Preprocessing ...
% 3.42/1.15 Prover 6: Preprocessing ...
% 3.42/1.15 Prover 3: Preprocessing ...
% 7.32/1.68 Prover 2: Constructing countermodel ...
% 7.32/1.68 Prover 5: Constructing countermodel ...
% 8.98/1.94 Prover 6: Proving ...
% 9.42/1.98 Prover 1: Constructing countermodel ...
% 9.42/1.99 Prover 3: Constructing countermodel ...
% 11.48/2.31 Prover 3: gave up
% 12.06/2.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.48/2.43 Prover 1: gave up
% 12.48/2.45 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.48/2.45 Prover 7: Preprocessing ...
% 13.41/2.51 Prover 8: Preprocessing ...
% 13.41/2.52 Prover 2: proved (2008ms)
% 13.41/2.52
% 13.41/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.41/2.52
% 13.71/2.53 Prover 5: stopped
% 13.80/2.54 Prover 6: stopped
% 13.80/2.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.80/2.55 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.80/2.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.80/2.58 Prover 7: Constructing countermodel ...
% 14.37/2.62 Prover 13: Preprocessing ...
% 14.37/2.65 Prover 10: Preprocessing ...
% 14.37/2.67 Prover 11: Preprocessing ...
% 14.37/2.79 Prover 13: Constructing countermodel ...
% 14.37/2.79 Prover 10: Constructing countermodel ...
% 15.70/2.84 Prover 8: Warning: ignoring some quantifiers
% 15.70/2.84 Prover 0: stopped
% 15.70/2.86 Prover 8: Constructing countermodel ...
% 15.70/2.86 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 16.65/2.93 Prover 16: Preprocessing ...
% 17.39/3.06 Prover 16: Constructing countermodel ...
% 18.54/3.26 Prover 10: Found proof (size 14)
% 18.54/3.26 Prover 10: proved (726ms)
% 18.54/3.26 Prover 13: stopped
% 18.54/3.26 Prover 7: stopped
% 18.54/3.26 Prover 8: stopped
% 19.23/3.29 Prover 16: stopped
% 20.04/3.47 Prover 11: stopped
% 21.90/4.84 Prover 4: stopped
% 21.90/4.84
% 21.90/4.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.90/4.84
% 21.90/4.84 % SZS output start Proof for theBenchmark
% 21.90/4.86 Assumptions after simplification:
% 21.90/4.86 ---------------------------------
% 21.90/4.86
% 21.90/4.86 (ax49)
% 22.03/4.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 22.03/4.87 ~ accessible_world(v1, v2) | ~ man(v1, v0) | man(v2, v0))
% 22.03/4.87
% 22.03/4.87 (co1)
% 22.03/4.88 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 22.03/4.88 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 22.03/4.88 $i(v3) & $i(v2) & $i(v1) & $i(v0) & actual_world(v0) & present(v0, v3) &
% 22.03/4.88 agent(v0, v3, v1) & think_believe_consider(v0, v3) & theme(v0, v3, v4) &
% 22.03/4.88 be(v0, v7, v6, v6) & of(v0, v5, v6) & of(v0, v2, v1) & accessible_world(v0,
% 22.03/4.88 v4) & proposition(v0, v4) & event(v0, v3) & state(v0, v7) & man(v0, v6) &
% 22.03/4.88 man(v0, v1) & vincent_forename(v0, v2) & forename(v0, v5) & forename(v0, v2)
% 22.03/4.88 & jules_forename(v0, v5) & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 22.03/4.88 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 22.03/4.88 [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : !
% 22.03/4.88 [v21: $i] : ( ~ $i(v21) | ~ $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ $i(v17)
% 22.03/4.88 | ~ $i(v16) | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~
% 22.03/4.88 $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ actual_world(v8) | ~
% 22.03/4.88 present(v20, v21) | ~ present(v8, v19) | ~ present(v8, v14) | ~
% 22.03/4.88 agent(v20, v21, v9) | ~ agent(v8, v19, v12) | ~ agent(v8, v14, v12) | ~
% 22.03/4.88 think_believe_consider(v8, v19) | ~ think_believe_consider(v8, v14) | ~
% 22.03/4.88 theme(v8, v19, v20) | ~ theme(v8, v14, v15) | ~ be(v8, v18, v17, v17) |
% 22.03/4.88 ~ of(v8, v16, v17) | ~ of(v8, v13, v12) | ~ of(v8, v11, v12) | ~ of(v8,
% 22.03/4.89 v10, v9) | ~ accessible_world(v8, v20) | ~ accessible_world(v8, v15) |
% 22.03/4.89 ~ smoke(v20, v21) | ~ proposition(v8, v20) | ~ proposition(v8, v15) |
% 22.03/4.89 ~ event(v20, v21) | ~ event(v8, v19) | ~ event(v8, v14) | ~ state(v8,
% 22.03/4.89 v18) | ~ man(v8, v17) | ~ man(v8, v12) | ~ man(v8, v9) | ~
% 22.03/4.89 vincent_forename(v8, v13) | ~ vincent_forename(v8, v11) | ~ forename(v8,
% 22.03/4.89 v16) | ~ forename(v8, v13) | ~ forename(v8, v11) | ~ forename(v8,
% 22.03/4.89 v10) | ~ jules_forename(v8, v16) | ~ jules_forename(v8, v10) | ?
% 22.03/4.89 [v22: $i] : ($i(v22) & man(v15, v22) & ! [v23: $i] : ( ~ $i(v23) | ~
% 22.03/4.89 present(v15, v23) | ~ agent(v15, v23, v22) | ~ smoke(v15, v23) | ~
% 22.03/4.89 event(v15, v23)))) & ! [v8: $i] : ( ~ $i(v8) | ~ man(v4, v8) | ?
% 22.03/4.89 [v9: $i] : ($i(v9) & present(v4, v9) & agent(v4, v9, v8) & smoke(v4, v9) &
% 22.03/4.89 event(v4, v9))))
% 22.03/4.89
% 22.03/4.89 Further assumptions not needed in the proof:
% 22.03/4.89 --------------------------------------------
% 22.03/4.89 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax2, ax20,
% 22.03/4.89 ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32,
% 22.03/4.89 ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44,
% 22.03/4.89 ax45, ax46, ax47, ax48, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57,
% 22.03/4.89 ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69,
% 22.03/4.89 ax7, ax70, ax71, ax8, ax9
% 22.03/4.89
% 22.03/4.89 Those formulas are unsatisfiable:
% 22.03/4.89 ---------------------------------
% 22.03/4.89
% 22.03/4.89 Begin of proof
% 22.03/4.89 |
% 22.03/4.89 | DELTA: instantiating (co1) with fresh symbols all_73_0, all_73_1, all_73_2,
% 22.03/4.89 | all_73_3, all_73_4, all_73_5, all_73_6, all_73_7 gives:
% 22.15/4.90 | (1) $i(all_73_0) & $i(all_73_1) & $i(all_73_2) & $i(all_73_3) &
% 22.15/4.90 | $i(all_73_4) & $i(all_73_5) & $i(all_73_6) & $i(all_73_7) &
% 22.15/4.90 | actual_world(all_73_7) & present(all_73_7, all_73_4) & agent(all_73_7,
% 22.15/4.90 | all_73_4, all_73_6) & think_believe_consider(all_73_7, all_73_4) &
% 22.15/4.90 | theme(all_73_7, all_73_4, all_73_3) & be(all_73_7, all_73_0, all_73_1,
% 22.15/4.90 | all_73_1) & of(all_73_7, all_73_2, all_73_1) & of(all_73_7, all_73_5,
% 22.15/4.90 | all_73_6) & accessible_world(all_73_7, all_73_3) &
% 22.15/4.90 | proposition(all_73_7, all_73_3) & event(all_73_7, all_73_4) &
% 22.15/4.90 | state(all_73_7, all_73_0) & man(all_73_7, all_73_1) & man(all_73_7,
% 22.15/4.90 | all_73_6) & vincent_forename(all_73_7, all_73_5) & forename(all_73_7,
% 22.15/4.90 | all_73_2) & forename(all_73_7, all_73_5) & jules_forename(all_73_7,
% 22.15/4.90 | all_73_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 22.15/4.90 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 22.15/4.90 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 22.15/4.90 | ( ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~
% 22.15/4.90 | $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 22.15/4.90 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ actual_world(v0) | ~
% 22.15/4.90 | present(v12, v13) | ~ present(v0, v11) | ~ present(v0, v6) | ~
% 22.15/4.90 | agent(v12, v13, v1) | ~ agent(v0, v11, v4) | ~ agent(v0, v6, v4) |
% 22.15/4.90 | ~ think_believe_consider(v0, v11) | ~ think_believe_consider(v0, v6)
% 22.15/4.90 | | ~ theme(v0, v11, v12) | ~ theme(v0, v6, v7) | ~ be(v0, v10, v9,
% 22.15/4.90 | v9) | ~ of(v0, v8, v9) | ~ of(v0, v5, v4) | ~ of(v0, v3, v4) |
% 22.15/4.90 | ~ of(v0, v2, v1) | ~ accessible_world(v0, v12) | ~
% 22.15/4.90 | accessible_world(v0, v7) | ~ smoke(v12, v13) | ~ proposition(v0,
% 22.15/4.90 | v12) | ~ proposition(v0, v7) | ~ event(v12, v13) | ~ event(v0,
% 22.15/4.90 | v11) | ~ event(v0, v6) | ~ state(v0, v10) | ~ man(v0, v9) | ~
% 22.15/4.90 | man(v0, v4) | ~ man(v0, v1) | ~ vincent_forename(v0, v5) | ~
% 22.15/4.90 | vincent_forename(v0, v3) | ~ forename(v0, v8) | ~ forename(v0, v5)
% 22.15/4.90 | | ~ forename(v0, v3) | ~ forename(v0, v2) | ~ jules_forename(v0,
% 22.15/4.90 | v8) | ~ jules_forename(v0, v2) | ? [v14: $i] : ($i(v14) & man(v7,
% 22.15/4.90 | v14) & ! [v15: $i] : ( ~ $i(v15) | ~ present(v7, v15) | ~
% 22.15/4.90 | agent(v7, v15, v14) | ~ smoke(v7, v15) | ~ event(v7, v15)))) &
% 22.15/4.90 | ! [v0: $i] : ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] : ($i(v1)
% 22.15/4.90 | & present(all_73_3, v1) & agent(all_73_3, v1, v0) & smoke(all_73_3,
% 22.15/4.90 | v1) & event(all_73_3, v1)))
% 22.15/4.90 |
% 22.15/4.90 | ALPHA: (1) implies:
% 22.15/4.90 | (2) jules_forename(all_73_7, all_73_2)
% 22.15/4.90 | (3) forename(all_73_7, all_73_5)
% 22.15/4.90 | (4) forename(all_73_7, all_73_2)
% 22.15/4.90 | (5) vincent_forename(all_73_7, all_73_5)
% 22.15/4.90 | (6) man(all_73_7, all_73_6)
% 22.15/4.90 | (7) man(all_73_7, all_73_1)
% 22.15/4.91 | (8) state(all_73_7, all_73_0)
% 22.15/4.91 | (9) event(all_73_7, all_73_4)
% 22.15/4.91 | (10) proposition(all_73_7, all_73_3)
% 22.15/4.91 | (11) accessible_world(all_73_7, all_73_3)
% 22.15/4.91 | (12) of(all_73_7, all_73_5, all_73_6)
% 22.15/4.91 | (13) of(all_73_7, all_73_2, all_73_1)
% 22.15/4.91 | (14) be(all_73_7, all_73_0, all_73_1, all_73_1)
% 22.15/4.91 | (15) theme(all_73_7, all_73_4, all_73_3)
% 22.15/4.91 | (16) think_believe_consider(all_73_7, all_73_4)
% 22.15/4.91 | (17) agent(all_73_7, all_73_4, all_73_6)
% 22.15/4.91 | (18) present(all_73_7, all_73_4)
% 22.15/4.91 | (19) actual_world(all_73_7)
% 22.15/4.91 | (20) $i(all_73_7)
% 22.15/4.91 | (21) $i(all_73_6)
% 22.15/4.91 | (22) $i(all_73_5)
% 22.15/4.91 | (23) $i(all_73_4)
% 22.15/4.91 | (24) $i(all_73_3)
% 22.15/4.91 | (25) $i(all_73_2)
% 22.15/4.91 | (26) $i(all_73_1)
% 22.15/4.91 | (27) $i(all_73_0)
% 22.15/4.91 | (28) ! [v0: $i] : ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] :
% 22.15/4.91 | ($i(v1) & present(all_73_3, v1) & agent(all_73_3, v1, v0) &
% 22.15/4.91 | smoke(all_73_3, v1) & event(all_73_3, v1)))
% 22.15/4.91 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 22.15/4.91 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 22.15/4.91 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~ $i(v13)
% 22.15/4.91 | | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~
% 22.15/4.91 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 22.15/4.91 | ~ $i(v1) | ~ $i(v0) | ~ actual_world(v0) | ~ present(v12, v13) |
% 22.15/4.91 | ~ present(v0, v11) | ~ present(v0, v6) | ~ agent(v12, v13, v1) |
% 22.15/4.91 | ~ agent(v0, v11, v4) | ~ agent(v0, v6, v4) | ~
% 22.15/4.91 | think_believe_consider(v0, v11) | ~ think_believe_consider(v0, v6)
% 22.15/4.91 | | ~ theme(v0, v11, v12) | ~ theme(v0, v6, v7) | ~ be(v0, v10, v9,
% 22.15/4.91 | v9) | ~ of(v0, v8, v9) | ~ of(v0, v5, v4) | ~ of(v0, v3, v4) |
% 22.15/4.91 | ~ of(v0, v2, v1) | ~ accessible_world(v0, v12) | ~
% 22.15/4.91 | accessible_world(v0, v7) | ~ smoke(v12, v13) | ~ proposition(v0,
% 22.15/4.91 | v12) | ~ proposition(v0, v7) | ~ event(v12, v13) | ~ event(v0,
% 22.15/4.91 | v11) | ~ event(v0, v6) | ~ state(v0, v10) | ~ man(v0, v9) | ~
% 22.15/4.91 | man(v0, v4) | ~ man(v0, v1) | ~ vincent_forename(v0, v5) | ~
% 22.15/4.91 | vincent_forename(v0, v3) | ~ forename(v0, v8) | ~ forename(v0, v5)
% 22.15/4.91 | | ~ forename(v0, v3) | ~ forename(v0, v2) | ~ jules_forename(v0,
% 22.15/4.91 | v8) | ~ jules_forename(v0, v2) | ? [v14: $i] : ($i(v14) &
% 22.15/4.91 | man(v7, v14) & ! [v15: $i] : ( ~ $i(v15) | ~ present(v7, v15) |
% 22.15/4.91 | ~ agent(v7, v15, v14) | ~ smoke(v7, v15) | ~ event(v7, v15))))
% 22.15/4.91 |
% 22.15/4.91 | GROUND_INST: instantiating (ax49) with all_73_1, all_73_7, all_73_3,
% 22.15/4.91 | simplifying with (7), (11), (20), (24), (26) gives:
% 22.15/4.91 | (30) man(all_73_3, all_73_1)
% 22.15/4.91 |
% 22.15/4.91 | GROUND_INST: instantiating (28) with all_73_1, simplifying with (26), (30)
% 22.15/4.91 | gives:
% 22.15/4.92 | (31) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 22.15/4.92 | all_73_1) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 22.15/4.92 |
% 22.15/4.92 | DELTA: instantiating (31) with fresh symbol all_88_0 gives:
% 22.15/4.92 | (32) $i(all_88_0) & present(all_73_3, all_88_0) & agent(all_73_3, all_88_0,
% 22.15/4.92 | all_73_1) & smoke(all_73_3, all_88_0) & event(all_73_3, all_88_0)
% 22.15/4.92 |
% 22.15/4.92 | ALPHA: (32) implies:
% 22.15/4.92 | (33) event(all_73_3, all_88_0)
% 22.15/4.92 | (34) smoke(all_73_3, all_88_0)
% 22.15/4.92 | (35) agent(all_73_3, all_88_0, all_73_1)
% 22.15/4.92 | (36) present(all_73_3, all_88_0)
% 22.15/4.92 | (37) $i(all_88_0)
% 22.15/4.92 |
% 22.15/4.92 | GROUND_INST: instantiating (29) with all_73_7, all_73_1, all_73_2, all_73_5,
% 22.15/4.92 | all_73_6, all_73_5, all_73_4, all_73_3, all_73_2, all_73_1,
% 22.15/4.92 | all_73_0, all_73_4, all_73_3, all_88_0, simplifying with (2),
% 22.15/4.92 | (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 22.15/4.92 | (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 22.15/4.92 | (26), (27), (33), (34), (35), (36), (37) gives:
% 22.15/4.92 | (38) ? [v0: $i] : ($i(v0) & man(all_73_3, v0) & ! [v1: $i] : ( ~ $i(v1) |
% 22.15/4.92 | ~ present(all_73_3, v1) | ~ agent(all_73_3, v1, v0) | ~
% 22.15/4.92 | smoke(all_73_3, v1) | ~ event(all_73_3, v1)))
% 22.15/4.92 |
% 22.15/4.92 | DELTA: instantiating (38) with fresh symbol all_98_0 gives:
% 22.15/4.92 | (39) $i(all_98_0) & man(all_73_3, all_98_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 22.15/4.92 | present(all_73_3, v0) | ~ agent(all_73_3, v0, all_98_0) | ~
% 22.15/4.92 | smoke(all_73_3, v0) | ~ event(all_73_3, v0))
% 22.15/4.92 |
% 22.15/4.92 | ALPHA: (39) implies:
% 22.15/4.92 | (40) man(all_73_3, all_98_0)
% 22.15/4.92 | (41) $i(all_98_0)
% 22.15/4.92 | (42) ! [v0: $i] : ( ~ $i(v0) | ~ present(all_73_3, v0) | ~
% 22.15/4.92 | agent(all_73_3, v0, all_98_0) | ~ smoke(all_73_3, v0) | ~
% 22.15/4.92 | event(all_73_3, v0))
% 22.15/4.92 |
% 22.15/4.92 | GROUND_INST: instantiating (28) with all_98_0, simplifying with (40), (41)
% 22.15/4.93 | gives:
% 22.15/4.93 | (43) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 22.15/4.93 | all_98_0) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 22.15/4.93 |
% 22.15/4.93 | DELTA: instantiating (43) with fresh symbol all_107_0 gives:
% 22.15/4.93 | (44) $i(all_107_0) & present(all_73_3, all_107_0) & agent(all_73_3,
% 22.15/4.93 | all_107_0, all_98_0) & smoke(all_73_3, all_107_0) & event(all_73_3,
% 22.15/4.93 | all_107_0)
% 22.15/4.93 |
% 22.15/4.93 | ALPHA: (44) implies:
% 22.15/4.93 | (45) event(all_73_3, all_107_0)
% 22.15/4.93 | (46) smoke(all_73_3, all_107_0)
% 22.33/4.93 | (47) agent(all_73_3, all_107_0, all_98_0)
% 22.33/4.93 | (48) present(all_73_3, all_107_0)
% 22.33/4.93 | (49) $i(all_107_0)
% 22.33/4.93 |
% 22.33/4.93 | GROUND_INST: instantiating (42) with all_107_0, simplifying with (45), (46),
% 22.33/4.93 | (47), (48), (49) gives:
% 22.33/4.93 | (50) $false
% 22.33/4.93 |
% 22.33/4.93 | CLOSE: (50) is inconsistent.
% 22.33/4.93 |
% 22.33/4.93 End of proof
% 22.33/4.93 % SZS output end Proof for theBenchmark
% 22.33/4.93
% 22.33/4.93 4435ms
%------------------------------------------------------------------------------