TSTP Solution File: NLP252+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NLP252+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 : n004.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 10:04:54 EDT 2023
% Result : Theorem 14.94s 2.80s
% Output : Proof 21.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP252+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 10:19:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.59 ________ _____
% 0.20/0.59 ___ __ \_________(_)________________________________
% 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.59 (2023-06-19)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2023
% 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.59 Amanda Stjerna.
% 0.20/0.59 Free software under BSD-3-Clause.
% 0.20/0.59
% 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.60 Running up to 7 provers in parallel.
% 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.87/1.27 Prover 4: Preprocessing ...
% 3.87/1.28 Prover 1: Preprocessing ...
% 3.87/1.31 Prover 5: Preprocessing ...
% 3.87/1.31 Prover 6: Preprocessing ...
% 3.87/1.31 Prover 3: Preprocessing ...
% 3.87/1.31 Prover 0: Preprocessing ...
% 3.87/1.31 Prover 2: Preprocessing ...
% 7.95/1.85 Prover 5: Constructing countermodel ...
% 7.95/1.87 Prover 2: Constructing countermodel ...
% 9.15/2.07 Prover 6: Proving ...
% 9.83/2.09 Prover 1: Constructing countermodel ...
% 10.12/2.12 Prover 3: Constructing countermodel ...
% 12.44/2.50 Prover 3: gave up
% 12.44/2.50 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.00/2.60 Prover 7: Preprocessing ...
% 13.00/2.66 Prover 1: gave up
% 13.00/2.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.66/2.75 Prover 8: Preprocessing ...
% 13.66/2.75 Prover 7: Constructing countermodel ...
% 14.94/2.80 Prover 2: proved (2187ms)
% 14.94/2.80
% 14.94/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.94/2.80
% 14.94/2.80 Prover 5: stopped
% 15.25/2.82 Prover 6: stopped
% 15.25/2.83 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.25/2.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.25/2.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.98/2.92 Prover 10: Preprocessing ...
% 15.98/2.96 Prover 13: Preprocessing ...
% 15.98/2.97 Prover 11: Preprocessing ...
% 17.03/3.07 Prover 10: Constructing countermodel ...
% 17.20/3.11 Prover 13: Constructing countermodel ...
% 17.51/3.14 Prover 8: Warning: ignoring some quantifiers
% 17.66/3.15 Prover 8: Constructing countermodel ...
% 18.44/3.32 Prover 7: Found proof (size 18)
% 18.44/3.32 Prover 7: proved (821ms)
% 18.44/3.32 Prover 13: stopped
% 18.44/3.32 Prover 10: stopped
% 18.44/3.33 Prover 8: stopped
% 19.91/3.53 Prover 11: stopped
% 20.89/3.69 Prover 4: stopped
% 20.89/3.71 Prover 0: stopped
% 20.89/3.71
% 20.89/3.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/3.71
% 20.89/3.71 % SZS output start Proof for theBenchmark
% 20.89/3.72 Assumptions after simplification:
% 20.89/3.72 ---------------------------------
% 20.89/3.72
% 20.89/3.72 (ax49)
% 20.89/3.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 20.89/3.72 ~ accessible_world(v1, v2) | ~ man(v1, v0) | man(v2, v0))
% 20.89/3.72
% 20.89/3.72 (co1)
% 20.89/3.74 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 20.89/3.74 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 20.89/3.74 $i(v3) & $i(v2) & $i(v1) & $i(v0) & actual_world(v0) & present(v0, v3) &
% 20.89/3.74 agent(v0, v3, v1) & think_believe_consider(v0, v3) & theme(v0, v3, v4) &
% 20.89/3.74 be(v0, v7, v6, v6) & of(v0, v5, v6) & of(v0, v2, v1) & accessible_world(v0,
% 20.89/3.74 v4) & proposition(v0, v4) & event(v0, v3) & state(v0, v7) & man(v0, v6) &
% 20.89/3.74 man(v0, v1) & vincent_forename(v0, v2) & forename(v0, v5) & forename(v0, v2)
% 20.89/3.74 & jules_forename(v0, v5) & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 20.89/3.74 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 20.89/3.74 [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : !
% 20.89/3.74 [v21: $i] : ( ~ $i(v21) | ~ $i(v20) | ~ $i(v19) | ~ $i(v18) | ~ $i(v17)
% 20.89/3.74 | ~ $i(v16) | ~ $i(v15) | ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~
% 20.89/3.74 $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ actual_world(v8) | ~
% 20.89/3.74 present(v20, v21) | ~ present(v8, v19) | ~ present(v8, v14) | ~
% 20.89/3.74 agent(v20, v21, v17) | ~ agent(v8, v19, v9) | ~ agent(v8, v14, v12) | ~
% 20.89/3.74 think_believe_consider(v8, v19) | ~ think_believe_consider(v8, v14) | ~
% 20.89/3.74 theme(v8, v19, v20) | ~ theme(v8, v14, v15) | ~ be(v8, v18, v17, v17) |
% 20.89/3.74 ~ of(v8, v16, v17) | ~ of(v8, v13, v12) | ~ of(v8, v11, v17) | ~ of(v8,
% 20.89/3.74 v10, v9) | ~ accessible_world(v8, v20) | ~ accessible_world(v8, v15) |
% 20.89/3.74 ~ smoke(v20, v21) | ~ proposition(v8, v20) | ~ proposition(v8, v15) |
% 20.89/3.74 ~ event(v20, v21) | ~ event(v8, v19) | ~ event(v8, v14) | ~ state(v8,
% 20.89/3.74 v18) | ~ man(v8, v17) | ~ man(v8, v12) | ~ man(v8, v9) | ~
% 20.89/3.74 vincent_forename(v8, v13) | ~ vincent_forename(v8, v10) | ~ forename(v8,
% 20.89/3.74 v16) | ~ forename(v8, v13) | ~ forename(v8, v11) | ~ forename(v8,
% 20.89/3.74 v10) | ~ jules_forename(v8, v16) | ~ jules_forename(v8, v11) | ?
% 20.89/3.74 [v22: $i] : ($i(v22) & man(v15, v22) & ! [v23: $i] : ( ~ $i(v23) | ~
% 20.89/3.74 present(v15, v23) | ~ agent(v15, v23, v22) | ~ smoke(v15, v23) | ~
% 20.89/3.74 event(v15, v23)))) & ! [v8: $i] : ( ~ $i(v8) | ~ man(v4, v8) | ?
% 20.89/3.74 [v9: $i] : ($i(v9) & present(v4, v9) & agent(v4, v9, v8) & smoke(v4, v9) &
% 20.89/3.74 event(v4, v9))))
% 20.89/3.74
% 20.89/3.74 Further assumptions not needed in the proof:
% 20.89/3.74 --------------------------------------------
% 20.89/3.74 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax2, ax20,
% 20.89/3.74 ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32,
% 20.89/3.74 ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44,
% 20.89/3.74 ax45, ax46, ax47, ax48, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57,
% 20.89/3.74 ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69,
% 20.89/3.74 ax7, ax70, ax71, ax8, ax9
% 20.89/3.74
% 20.89/3.74 Those formulas are unsatisfiable:
% 20.89/3.74 ---------------------------------
% 20.89/3.74
% 20.89/3.74 Begin of proof
% 21.20/3.74 |
% 21.20/3.75 | DELTA: instantiating (co1) with fresh symbols all_73_0, all_73_1, all_73_2,
% 21.20/3.75 | all_73_3, all_73_4, all_73_5, all_73_6, all_73_7 gives:
% 21.20/3.76 | (1) $i(all_73_0) & $i(all_73_1) & $i(all_73_2) & $i(all_73_3) &
% 21.20/3.76 | $i(all_73_4) & $i(all_73_5) & $i(all_73_6) & $i(all_73_7) &
% 21.20/3.76 | actual_world(all_73_7) & present(all_73_7, all_73_4) & agent(all_73_7,
% 21.20/3.76 | all_73_4, all_73_6) & think_believe_consider(all_73_7, all_73_4) &
% 21.20/3.76 | theme(all_73_7, all_73_4, all_73_3) & be(all_73_7, all_73_0, all_73_1,
% 21.20/3.76 | all_73_1) & of(all_73_7, all_73_2, all_73_1) & of(all_73_7, all_73_5,
% 21.20/3.76 | all_73_6) & accessible_world(all_73_7, all_73_3) &
% 21.20/3.76 | proposition(all_73_7, all_73_3) & event(all_73_7, all_73_4) &
% 21.20/3.76 | state(all_73_7, all_73_0) & man(all_73_7, all_73_1) & man(all_73_7,
% 21.20/3.76 | all_73_6) & vincent_forename(all_73_7, all_73_5) & forename(all_73_7,
% 21.20/3.76 | all_73_2) & forename(all_73_7, all_73_5) & jules_forename(all_73_7,
% 21.20/3.76 | all_73_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 21.20/3.76 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 21.20/3.77 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 21.20/3.77 | ( ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~
% 21.20/3.77 | $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 21.20/3.77 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ actual_world(v0) | ~
% 21.20/3.77 | present(v12, v13) | ~ present(v0, v11) | ~ present(v0, v6) | ~
% 21.20/3.77 | agent(v12, v13, v9) | ~ agent(v0, v11, v1) | ~ agent(v0, v6, v4) |
% 21.20/3.77 | ~ think_believe_consider(v0, v11) | ~ think_believe_consider(v0, v6)
% 21.20/3.77 | | ~ theme(v0, v11, v12) | ~ theme(v0, v6, v7) | ~ be(v0, v10, v9,
% 21.20/3.77 | v9) | ~ of(v0, v8, v9) | ~ of(v0, v5, v4) | ~ of(v0, v3, v9) |
% 21.20/3.77 | ~ of(v0, v2, v1) | ~ accessible_world(v0, v12) | ~
% 21.20/3.77 | accessible_world(v0, v7) | ~ smoke(v12, v13) | ~ proposition(v0,
% 21.20/3.77 | v12) | ~ proposition(v0, v7) | ~ event(v12, v13) | ~ event(v0,
% 21.20/3.77 | v11) | ~ event(v0, v6) | ~ state(v0, v10) | ~ man(v0, v9) | ~
% 21.20/3.77 | man(v0, v4) | ~ man(v0, v1) | ~ vincent_forename(v0, v5) | ~
% 21.20/3.77 | vincent_forename(v0, v2) | ~ forename(v0, v8) | ~ forename(v0, v5)
% 21.20/3.77 | | ~ forename(v0, v3) | ~ forename(v0, v2) | ~ jules_forename(v0,
% 21.20/3.77 | v8) | ~ jules_forename(v0, v3) | ? [v14: $i] : ($i(v14) & man(v7,
% 21.20/3.77 | v14) & ! [v15: $i] : ( ~ $i(v15) | ~ present(v7, v15) | ~
% 21.20/3.77 | agent(v7, v15, v14) | ~ smoke(v7, v15) | ~ event(v7, v15)))) &
% 21.20/3.77 | ! [v0: $i] : ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] : ($i(v1)
% 21.20/3.77 | & present(all_73_3, v1) & agent(all_73_3, v1, v0) & smoke(all_73_3,
% 21.20/3.77 | v1) & event(all_73_3, v1)))
% 21.20/3.77 |
% 21.20/3.77 | ALPHA: (1) implies:
% 21.20/3.77 | (2) jules_forename(all_73_7, all_73_2)
% 21.20/3.77 | (3) forename(all_73_7, all_73_5)
% 21.20/3.77 | (4) forename(all_73_7, all_73_2)
% 21.20/3.77 | (5) vincent_forename(all_73_7, all_73_5)
% 21.20/3.77 | (6) man(all_73_7, all_73_6)
% 21.20/3.77 | (7) man(all_73_7, all_73_1)
% 21.20/3.77 | (8) state(all_73_7, all_73_0)
% 21.20/3.77 | (9) event(all_73_7, all_73_4)
% 21.20/3.77 | (10) proposition(all_73_7, all_73_3)
% 21.20/3.77 | (11) accessible_world(all_73_7, all_73_3)
% 21.20/3.77 | (12) of(all_73_7, all_73_5, all_73_6)
% 21.20/3.77 | (13) of(all_73_7, all_73_2, all_73_1)
% 21.20/3.77 | (14) be(all_73_7, all_73_0, all_73_1, all_73_1)
% 21.20/3.77 | (15) theme(all_73_7, all_73_4, all_73_3)
% 21.20/3.77 | (16) think_believe_consider(all_73_7, all_73_4)
% 21.20/3.77 | (17) agent(all_73_7, all_73_4, all_73_6)
% 21.20/3.78 | (18) present(all_73_7, all_73_4)
% 21.20/3.78 | (19) actual_world(all_73_7)
% 21.20/3.78 | (20) $i(all_73_7)
% 21.20/3.78 | (21) $i(all_73_6)
% 21.20/3.78 | (22) $i(all_73_5)
% 21.20/3.78 | (23) $i(all_73_4)
% 21.20/3.78 | (24) $i(all_73_3)
% 21.20/3.78 | (25) $i(all_73_2)
% 21.20/3.78 | (26) $i(all_73_1)
% 21.20/3.78 | (27) $i(all_73_0)
% 21.37/3.78 | (28) ! [v0: $i] : ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] :
% 21.37/3.78 | ($i(v1) & present(all_73_3, v1) & agent(all_73_3, v1, v0) &
% 21.37/3.78 | smoke(all_73_3, v1) & event(all_73_3, v1)))
% 21.37/3.79 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 21.37/3.79 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 21.37/3.79 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~ $i(v13)
% 21.37/3.79 | | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8) | ~
% 21.37/3.79 | $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 21.37/3.79 | ~ $i(v1) | ~ $i(v0) | ~ actual_world(v0) | ~ present(v12, v13) |
% 21.37/3.79 | ~ present(v0, v11) | ~ present(v0, v6) | ~ agent(v12, v13, v9) |
% 21.37/3.79 | ~ agent(v0, v11, v1) | ~ agent(v0, v6, v4) | ~
% 21.37/3.79 | think_believe_consider(v0, v11) | ~ think_believe_consider(v0, v6)
% 21.37/3.79 | | ~ theme(v0, v11, v12) | ~ theme(v0, v6, v7) | ~ be(v0, v10, v9,
% 21.37/3.79 | v9) | ~ of(v0, v8, v9) | ~ of(v0, v5, v4) | ~ of(v0, v3, v9) |
% 21.37/3.79 | ~ of(v0, v2, v1) | ~ accessible_world(v0, v12) | ~
% 21.37/3.79 | accessible_world(v0, v7) | ~ smoke(v12, v13) | ~ proposition(v0,
% 21.37/3.79 | v12) | ~ proposition(v0, v7) | ~ event(v12, v13) | ~ event(v0,
% 21.37/3.79 | v11) | ~ event(v0, v6) | ~ state(v0, v10) | ~ man(v0, v9) | ~
% 21.37/3.79 | man(v0, v4) | ~ man(v0, v1) | ~ vincent_forename(v0, v5) | ~
% 21.37/3.79 | vincent_forename(v0, v2) | ~ forename(v0, v8) | ~ forename(v0, v5)
% 21.37/3.79 | | ~ forename(v0, v3) | ~ forename(v0, v2) | ~ jules_forename(v0,
% 21.37/3.79 | v8) | ~ jules_forename(v0, v3) | ? [v14: $i] : ($i(v14) &
% 21.37/3.79 | man(v7, v14) & ! [v15: $i] : ( ~ $i(v15) | ~ present(v7, v15) |
% 21.37/3.79 | ~ agent(v7, v15, v14) | ~ smoke(v7, v15) | ~ event(v7, v15))))
% 21.37/3.79 |
% 21.37/3.79 | GROUND_INST: instantiating (28) with all_73_1, simplifying with (26) gives:
% 21.37/3.79 | (30) ~ man(all_73_3, all_73_1) | ? [v0: $i] : ($i(v0) & present(all_73_3,
% 21.37/3.79 | v0) & agent(all_73_3, v0, all_73_1) & smoke(all_73_3, v0) &
% 21.37/3.79 | event(all_73_3, v0))
% 21.37/3.79 |
% 21.37/3.79 | GROUND_INST: instantiating (ax49) with all_73_1, all_73_7, all_73_3,
% 21.37/3.79 | simplifying with (7), (11), (20), (24), (26) gives:
% 21.37/3.79 | (31) man(all_73_3, all_73_1)
% 21.37/3.79 |
% 21.37/3.79 | BETA: splitting (30) gives:
% 21.37/3.79 |
% 21.37/3.79 | Case 1:
% 21.37/3.79 | |
% 21.37/3.79 | | (32) ~ man(all_73_3, all_73_1)
% 21.37/3.79 | |
% 21.37/3.79 | | PRED_UNIFY: (31), (32) imply:
% 21.37/3.79 | | (33) $false
% 21.37/3.79 | |
% 21.37/3.79 | | CLOSE: (33) is inconsistent.
% 21.37/3.79 | |
% 21.37/3.80 | Case 2:
% 21.37/3.80 | |
% 21.37/3.80 | | (34) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 21.37/3.80 | | all_73_1) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 21.37/3.80 | |
% 21.37/3.80 | | DELTA: instantiating (34) with fresh symbol all_91_0 gives:
% 21.37/3.80 | | (35) $i(all_91_0) & present(all_73_3, all_91_0) & agent(all_73_3,
% 21.37/3.80 | | all_91_0, all_73_1) & smoke(all_73_3, all_91_0) & event(all_73_3,
% 21.37/3.80 | | all_91_0)
% 21.37/3.80 | |
% 21.37/3.80 | | ALPHA: (35) implies:
% 21.37/3.80 | | (36) event(all_73_3, all_91_0)
% 21.37/3.80 | | (37) smoke(all_73_3, all_91_0)
% 21.37/3.80 | | (38) agent(all_73_3, all_91_0, all_73_1)
% 21.37/3.80 | | (39) present(all_73_3, all_91_0)
% 21.37/3.80 | | (40) $i(all_91_0)
% 21.37/3.80 | |
% 21.37/3.80 | | GROUND_INST: instantiating (29) with all_73_7, all_73_6, all_73_5, all_73_2,
% 21.37/3.80 | | all_73_6, all_73_5, all_73_4, all_73_3, all_73_2, all_73_1,
% 21.37/3.80 | | all_73_0, all_73_4, all_73_3, all_91_0, simplifying with (2),
% 21.37/3.80 | | (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 21.37/3.80 | | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 21.37/3.80 | | (24), (25), (26), (27), (36), (37), (38), (39), (40) gives:
% 21.37/3.80 | | (41) ? [v0: $i] : ($i(v0) & man(all_73_3, v0) & ! [v1: $i] : ( ~ $i(v1)
% 21.37/3.80 | | | ~ present(all_73_3, v1) | ~ agent(all_73_3, v1, v0) | ~
% 21.37/3.80 | | smoke(all_73_3, v1) | ~ event(all_73_3, v1)))
% 21.37/3.80 | |
% 21.37/3.80 | | DELTA: instantiating (41) with fresh symbol all_99_0 gives:
% 21.37/3.81 | | (42) $i(all_99_0) & man(all_73_3, all_99_0) & ! [v0: $i] : ( ~ $i(v0) |
% 21.37/3.81 | | ~ present(all_73_3, v0) | ~ agent(all_73_3, v0, all_99_0) | ~
% 21.37/3.81 | | smoke(all_73_3, v0) | ~ event(all_73_3, v0))
% 21.37/3.81 | |
% 21.37/3.81 | | ALPHA: (42) implies:
% 21.37/3.81 | | (43) man(all_73_3, all_99_0)
% 21.37/3.81 | | (44) $i(all_99_0)
% 21.37/3.81 | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ present(all_73_3, v0) | ~
% 21.37/3.81 | | agent(all_73_3, v0, all_99_0) | ~ smoke(all_73_3, v0) | ~
% 21.37/3.81 | | event(all_73_3, v0))
% 21.37/3.81 | |
% 21.37/3.81 | | GROUND_INST: instantiating (28) with all_99_0, simplifying with (43), (44)
% 21.37/3.81 | | gives:
% 21.37/3.81 | | (46) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 21.37/3.81 | | all_99_0) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 21.37/3.81 | |
% 21.37/3.81 | | DELTA: instantiating (46) with fresh symbol all_113_0 gives:
% 21.37/3.81 | | (47) $i(all_113_0) & present(all_73_3, all_113_0) & agent(all_73_3,
% 21.37/3.81 | | all_113_0, all_99_0) & smoke(all_73_3, all_113_0) &
% 21.37/3.81 | | event(all_73_3, all_113_0)
% 21.37/3.81 | |
% 21.37/3.81 | | ALPHA: (47) implies:
% 21.37/3.81 | | (48) event(all_73_3, all_113_0)
% 21.37/3.81 | | (49) smoke(all_73_3, all_113_0)
% 21.37/3.81 | | (50) agent(all_73_3, all_113_0, all_99_0)
% 21.37/3.81 | | (51) present(all_73_3, all_113_0)
% 21.37/3.81 | | (52) $i(all_113_0)
% 21.37/3.81 | |
% 21.37/3.81 | | GROUND_INST: instantiating (45) with all_113_0, simplifying with (48), (49),
% 21.37/3.81 | | (50), (51), (52) gives:
% 21.37/3.81 | | (53) $false
% 21.37/3.81 | |
% 21.37/3.81 | | CLOSE: (53) is inconsistent.
% 21.37/3.81 | |
% 21.37/3.81 | End of split
% 21.37/3.81 |
% 21.37/3.81 End of proof
% 21.37/3.81 % SZS output end Proof for theBenchmark
% 21.37/3.81
% 21.37/3.81 3217ms
%------------------------------------------------------------------------------