TSTP Solution File: NLP251+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NLP251+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 10:04:54 EDT 2023
% Result : Theorem 13.99s 2.59s
% Output : Proof 19.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NLP251+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.28 % Computer : n032.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8042.1875MB
% 0.11/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Thu Aug 24 10:46:41 EDT 2023
% 0.11/0.28 % CPUTime :
% 0.13/0.50 ________ _____
% 0.13/0.50 ___ __ \_________(_)________________________________
% 0.13/0.50 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.13/0.50 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.13/0.50 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.13/0.50
% 0.13/0.50 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.13/0.50 (2023-06-19)
% 0.13/0.50
% 0.13/0.50 (c) Philipp Rümmer, 2009-2023
% 0.13/0.50 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.13/0.50 Amanda Stjerna.
% 0.13/0.50 Free software under BSD-3-Clause.
% 0.13/0.50
% 0.13/0.50 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.13/0.50
% 0.13/0.50 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.51 Running up to 7 provers in parallel.
% 0.13/0.53 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.13/0.53 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.13/0.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.13/0.53 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.13/0.53 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.13/0.53 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.13/0.53 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.76/1.15 Prover 4: Preprocessing ...
% 3.76/1.15 Prover 1: Preprocessing ...
% 3.85/1.19 Prover 3: Preprocessing ...
% 3.85/1.19 Prover 6: Preprocessing ...
% 3.85/1.19 Prover 0: Preprocessing ...
% 3.85/1.19 Prover 5: Preprocessing ...
% 3.85/1.19 Prover 2: Preprocessing ...
% 7.68/1.74 Prover 5: Constructing countermodel ...
% 7.68/1.76 Prover 2: Constructing countermodel ...
% 9.26/1.92 Prover 1: Constructing countermodel ...
% 9.26/1.96 Prover 6: Proving ...
% 9.26/1.97 Prover 3: Constructing countermodel ...
% 13.14/2.53 Prover 3: gave up
% 13.14/2.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.99/2.59 Prover 2: proved (2068ms)
% 13.99/2.59
% 13.99/2.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.99/2.59
% 13.99/2.59 Prover 5: stopped
% 13.99/2.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.99/2.60 Prover 6: stopped
% 13.99/2.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.99/2.62 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.57/2.67 Prover 7: Preprocessing ...
% 15.07/2.74 Prover 10: Preprocessing ...
% 15.07/2.75 Prover 8: Preprocessing ...
% 15.42/2.78 Prover 11: Preprocessing ...
% 15.42/2.81 Prover 7: Constructing countermodel ...
% 15.42/2.85 Prover 0: stopped
% 15.42/2.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.42/2.87 Prover 10: Constructing countermodel ...
% 15.42/2.94 Prover 13: Preprocessing ...
% 17.34/3.05 Prover 13: Constructing countermodel ...
% 18.34/3.17 Prover 8: Warning: ignoring some quantifiers
% 18.34/3.20 Prover 8: Constructing countermodel ...
% 18.93/3.27 Prover 10: Found proof (size 14)
% 18.93/3.27 Prover 10: proved (668ms)
% 18.93/3.27 Prover 11: stopped
% 18.93/3.27 Prover 7: stopped
% 18.93/3.27 Prover 1: stopped
% 18.93/3.27 Prover 13: stopped
% 18.93/3.27 Prover 8: stopped
% 18.93/3.28 Prover 4: stopped
% 18.93/3.28
% 18.93/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.93/3.28
% 18.93/3.28 % SZS output start Proof for theBenchmark
% 18.93/3.29 Assumptions after simplification:
% 18.93/3.29 ---------------------------------
% 18.93/3.29
% 18.93/3.29 (ax49)
% 18.93/3.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 18.93/3.29 ~ accessible_world(v1, v2) | ~ man(v1, v0) | man(v2, v0))
% 18.93/3.29
% 18.93/3.29 (co1)
% 18.93/3.30 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 18.93/3.30 $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 18.93/3.30 $i(v3) & $i(v2) & $i(v1) & $i(v0) & actual_world(v0) & present(v0, v3) &
% 18.93/3.30 agent(v0, v3, v1) & think_believe_consider(v0, v3) & theme(v0, v3, v4) &
% 18.93/3.30 be(v0, v7, v6, v6) & of(v0, v5, v6) & of(v0, v2, v1) & accessible_world(v0,
% 18.93/3.30 v4) & proposition(v0, v4) & event(v0, v3) & state(v0, v7) & man(v0, v6) &
% 18.93/3.30 man(v0, v1) & vincent_forename(v0, v2) & forename(v0, v5) & forename(v0, v2)
% 18.93/3.30 & jules_forename(v0, v5) & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 18.93/3.30 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 18.93/3.30 [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : !
% 18.93/3.30 [v21: $i] : ! [v22: $i] : ( ~ $i(v22) | ~ $i(v21) | ~ $i(v20) | ~
% 18.93/3.30 $i(v19) | ~ $i(v18) | ~ $i(v17) | ~ $i(v16) | ~ $i(v15) | ~ $i(v14) |
% 18.93/3.30 ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~ $i(v10) | ~ $i(v9) | ~ $i(v8)
% 18.93/3.30 | ~ actual_world(v8) | ~ present(v21, v22) | ~ present(v8, v20) | ~
% 18.93/3.30 present(v8, v15) | ~ agent(v21, v22, v11) | ~ agent(v8, v20, v9) | ~
% 18.93/3.30 agent(v8, v15, v13) | ~ think_believe_consider(v8, v20) | ~
% 18.93/3.30 think_believe_consider(v8, v15) | ~ theme(v8, v20, v21) | ~ theme(v8,
% 18.93/3.30 v15, v16) | ~ be(v8, v19, v18, v18) | ~ of(v8, v17, v18) | ~ of(v8,
% 18.93/3.30 v14, v13) | ~ of(v8, v12, v11) | ~ of(v8, v10, v9) | ~
% 18.93/3.30 accessible_world(v8, v21) | ~ accessible_world(v8, v16) | ~ smoke(v21,
% 18.93/3.30 v22) | ~ proposition(v8, v21) | ~ proposition(v8, v16) | ~ event(v21,
% 18.93/3.30 v22) | ~ event(v8, v20) | ~ event(v8, v15) | ~ state(v8, v19) | ~
% 18.93/3.30 man(v8, v18) | ~ man(v8, v13) | ~ man(v8, v11) | ~ man(v8, v9) | ~
% 18.93/3.30 vincent_forename(v8, v14) | ~ vincent_forename(v8, v10) | ~ forename(v8,
% 18.93/3.30 v17) | ~ forename(v8, v14) | ~ forename(v8, v12) | ~ forename(v8,
% 18.93/3.30 v10) | ~ jules_forename(v8, v17) | ~ jules_forename(v8, v12) | ?
% 18.93/3.30 [v23: $i] : ($i(v23) & man(v16, v23) & ! [v24: $i] : ( ~ $i(v24) | ~
% 18.93/3.30 present(v16, v24) | ~ agent(v16, v24, v23) | ~ smoke(v16, v24) | ~
% 18.93/3.30 event(v16, v24)))) & ! [v8: $i] : ( ~ $i(v8) | ~ man(v4, v8) | ?
% 18.93/3.30 [v9: $i] : ($i(v9) & present(v4, v9) & agent(v4, v9, v8) & smoke(v4, v9) &
% 18.93/3.30 event(v4, v9))))
% 18.93/3.30
% 18.93/3.30 Further assumptions not needed in the proof:
% 18.93/3.30 --------------------------------------------
% 18.93/3.31 ax1, ax10, ax11, ax12, ax13, ax14, ax15, ax16, ax17, ax18, ax19, ax2, ax20,
% 18.93/3.31 ax21, ax22, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax3, ax30, ax31, ax32,
% 18.93/3.31 ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax4, ax40, ax41, ax42, ax43, ax44,
% 18.93/3.31 ax45, ax46, ax47, ax48, ax5, ax50, ax51, ax52, ax53, ax54, ax55, ax56, ax57,
% 18.93/3.31 ax58, ax59, ax6, ax60, ax61, ax62, ax63, ax64, ax65, ax66, ax67, ax68, ax69,
% 18.93/3.31 ax7, ax70, ax71, ax8, ax9
% 18.93/3.31
% 18.93/3.31 Those formulas are unsatisfiable:
% 18.93/3.31 ---------------------------------
% 18.93/3.31
% 18.93/3.31 Begin of proof
% 18.93/3.31 |
% 18.93/3.31 | DELTA: instantiating (co1) with fresh symbols all_73_0, all_73_1, all_73_2,
% 18.93/3.31 | all_73_3, all_73_4, all_73_5, all_73_6, all_73_7 gives:
% 18.93/3.31 | (1) $i(all_73_0) & $i(all_73_1) & $i(all_73_2) & $i(all_73_3) &
% 18.93/3.31 | $i(all_73_4) & $i(all_73_5) & $i(all_73_6) & $i(all_73_7) &
% 18.93/3.31 | actual_world(all_73_7) & present(all_73_7, all_73_4) & agent(all_73_7,
% 18.93/3.31 | all_73_4, all_73_6) & think_believe_consider(all_73_7, all_73_4) &
% 18.93/3.31 | theme(all_73_7, all_73_4, all_73_3) & be(all_73_7, all_73_0, all_73_1,
% 18.93/3.31 | all_73_1) & of(all_73_7, all_73_2, all_73_1) & of(all_73_7, all_73_5,
% 18.93/3.31 | all_73_6) & accessible_world(all_73_7, all_73_3) &
% 18.93/3.31 | proposition(all_73_7, all_73_3) & event(all_73_7, all_73_4) &
% 18.93/3.31 | state(all_73_7, all_73_0) & man(all_73_7, all_73_1) & man(all_73_7,
% 18.93/3.31 | all_73_6) & vincent_forename(all_73_7, all_73_5) & forename(all_73_7,
% 18.93/3.31 | all_73_2) & forename(all_73_7, all_73_5) & jules_forename(all_73_7,
% 18.93/3.31 | all_73_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 18.93/3.31 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 18.93/3.31 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 18.93/3.31 | ! [v14: $i] : ( ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~
% 18.93/3.31 | $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) |
% 18.93/3.31 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 18.93/3.31 | actual_world(v0) | ~ present(v13, v14) | ~ present(v0, v12) | ~
% 18.93/3.31 | present(v0, v7) | ~ agent(v13, v14, v3) | ~ agent(v0, v12, v1) | ~
% 18.93/3.31 | agent(v0, v7, v5) | ~ think_believe_consider(v0, v12) | ~
% 18.93/3.31 | think_believe_consider(v0, v7) | ~ theme(v0, v12, v13) | ~
% 18.93/3.31 | theme(v0, v7, v8) | ~ be(v0, v11, v10, v10) | ~ of(v0, v9, v10) |
% 18.93/3.31 | ~ of(v0, v6, v5) | ~ of(v0, v4, v3) | ~ of(v0, v2, v1) | ~
% 18.93/3.31 | accessible_world(v0, v13) | ~ accessible_world(v0, v8) | ~
% 18.93/3.31 | smoke(v13, v14) | ~ proposition(v0, v13) | ~ proposition(v0, v8) |
% 18.93/3.31 | ~ event(v13, v14) | ~ event(v0, v12) | ~ event(v0, v7) | ~
% 18.93/3.31 | state(v0, v11) | ~ man(v0, v10) | ~ man(v0, v5) | ~ man(v0, v3) |
% 18.93/3.31 | ~ man(v0, v1) | ~ vincent_forename(v0, v6) | ~ vincent_forename(v0,
% 18.93/3.31 | v2) | ~ forename(v0, v9) | ~ forename(v0, v6) | ~ forename(v0,
% 18.93/3.31 | v4) | ~ forename(v0, v2) | ~ jules_forename(v0, v9) | ~
% 18.93/3.31 | jules_forename(v0, v4) | ? [v15: $i] : ($i(v15) & man(v8, v15) & !
% 18.93/3.31 | [v16: $i] : ( ~ $i(v16) | ~ present(v8, v16) | ~ agent(v8, v16,
% 18.93/3.31 | v15) | ~ smoke(v8, v16) | ~ event(v8, v16)))) & ! [v0: $i] :
% 18.93/3.31 | ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] : ($i(v1) &
% 18.93/3.31 | present(all_73_3, v1) & agent(all_73_3, v1, v0) & smoke(all_73_3,
% 18.93/3.31 | v1) & event(all_73_3, v1)))
% 18.93/3.31 |
% 18.93/3.31 | ALPHA: (1) implies:
% 18.93/3.32 | (2) jules_forename(all_73_7, all_73_2)
% 18.93/3.32 | (3) forename(all_73_7, all_73_5)
% 18.93/3.32 | (4) forename(all_73_7, all_73_2)
% 18.93/3.32 | (5) vincent_forename(all_73_7, all_73_5)
% 18.93/3.32 | (6) man(all_73_7, all_73_6)
% 18.93/3.32 | (7) man(all_73_7, all_73_1)
% 18.93/3.32 | (8) state(all_73_7, all_73_0)
% 18.93/3.32 | (9) event(all_73_7, all_73_4)
% 18.93/3.32 | (10) proposition(all_73_7, all_73_3)
% 18.93/3.32 | (11) accessible_world(all_73_7, all_73_3)
% 18.93/3.32 | (12) of(all_73_7, all_73_5, all_73_6)
% 18.93/3.32 | (13) of(all_73_7, all_73_2, all_73_1)
% 18.93/3.32 | (14) be(all_73_7, all_73_0, all_73_1, all_73_1)
% 18.93/3.32 | (15) theme(all_73_7, all_73_4, all_73_3)
% 18.93/3.32 | (16) think_believe_consider(all_73_7, all_73_4)
% 18.93/3.32 | (17) agent(all_73_7, all_73_4, all_73_6)
% 18.93/3.32 | (18) present(all_73_7, all_73_4)
% 18.93/3.32 | (19) actual_world(all_73_7)
% 18.93/3.32 | (20) $i(all_73_7)
% 18.93/3.32 | (21) $i(all_73_6)
% 18.93/3.32 | (22) $i(all_73_5)
% 18.93/3.32 | (23) $i(all_73_4)
% 18.93/3.32 | (24) $i(all_73_3)
% 18.93/3.32 | (25) $i(all_73_2)
% 18.93/3.32 | (26) $i(all_73_1)
% 18.93/3.32 | (27) $i(all_73_0)
% 18.93/3.32 | (28) ! [v0: $i] : ( ~ $i(v0) | ~ man(all_73_3, v0) | ? [v1: $i] :
% 18.93/3.32 | ($i(v1) & present(all_73_3, v1) & agent(all_73_3, v1, v0) &
% 18.93/3.32 | smoke(all_73_3, v1) & event(all_73_3, v1)))
% 18.93/3.32 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 18.93/3.32 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 18.93/3.32 | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14:
% 18.93/3.32 | $i] : ( ~ $i(v14) | ~ $i(v13) | ~ $i(v12) | ~ $i(v11) | ~
% 18.93/3.32 | $i(v10) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5)
% 18.93/3.32 | | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 18.93/3.32 | actual_world(v0) | ~ present(v13, v14) | ~ present(v0, v12) | ~
% 18.93/3.32 | present(v0, v7) | ~ agent(v13, v14, v3) | ~ agent(v0, v12, v1) |
% 18.93/3.32 | ~ agent(v0, v7, v5) | ~ think_believe_consider(v0, v12) | ~
% 18.93/3.32 | think_believe_consider(v0, v7) | ~ theme(v0, v12, v13) | ~
% 18.93/3.32 | theme(v0, v7, v8) | ~ be(v0, v11, v10, v10) | ~ of(v0, v9, v10) |
% 18.93/3.32 | ~ of(v0, v6, v5) | ~ of(v0, v4, v3) | ~ of(v0, v2, v1) | ~
% 18.93/3.32 | accessible_world(v0, v13) | ~ accessible_world(v0, v8) | ~
% 18.93/3.32 | smoke(v13, v14) | ~ proposition(v0, v13) | ~ proposition(v0, v8) |
% 18.93/3.32 | ~ event(v13, v14) | ~ event(v0, v12) | ~ event(v0, v7) | ~
% 18.93/3.32 | state(v0, v11) | ~ man(v0, v10) | ~ man(v0, v5) | ~ man(v0, v3) |
% 18.93/3.32 | ~ man(v0, v1) | ~ vincent_forename(v0, v6) | ~
% 18.93/3.32 | vincent_forename(v0, v2) | ~ forename(v0, v9) | ~ forename(v0, v6)
% 18.93/3.32 | | ~ forename(v0, v4) | ~ forename(v0, v2) | ~ jules_forename(v0,
% 18.93/3.32 | v9) | ~ jules_forename(v0, v4) | ? [v15: $i] : ($i(v15) &
% 18.93/3.32 | man(v8, v15) & ! [v16: $i] : ( ~ $i(v16) | ~ present(v8, v16) |
% 18.93/3.32 | ~ agent(v8, v16, v15) | ~ smoke(v8, v16) | ~ event(v8, v16))))
% 18.93/3.32 |
% 18.93/3.32 | GROUND_INST: instantiating (ax49) with all_73_1, all_73_7, all_73_3,
% 18.93/3.32 | simplifying with (7), (11), (20), (24), (26) gives:
% 18.93/3.32 | (30) man(all_73_3, all_73_1)
% 18.93/3.32 |
% 18.93/3.32 | GROUND_INST: instantiating (28) with all_73_1, simplifying with (26), (30)
% 18.93/3.32 | gives:
% 18.93/3.33 | (31) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 18.93/3.33 | all_73_1) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 18.93/3.33 |
% 18.93/3.33 | DELTA: instantiating (31) with fresh symbol all_88_0 gives:
% 18.93/3.33 | (32) $i(all_88_0) & present(all_73_3, all_88_0) & agent(all_73_3, all_88_0,
% 18.93/3.33 | all_73_1) & smoke(all_73_3, all_88_0) & event(all_73_3, all_88_0)
% 18.93/3.33 |
% 18.93/3.33 | ALPHA: (32) implies:
% 18.93/3.33 | (33) event(all_73_3, all_88_0)
% 18.93/3.33 | (34) smoke(all_73_3, all_88_0)
% 18.93/3.33 | (35) agent(all_73_3, all_88_0, all_73_1)
% 18.93/3.33 | (36) present(all_73_3, all_88_0)
% 18.93/3.33 | (37) $i(all_88_0)
% 18.93/3.33 |
% 19.46/3.33 | GROUND_INST: instantiating (29) with all_73_7, all_73_6, all_73_5, all_73_1,
% 19.46/3.33 | all_73_2, all_73_6, all_73_5, all_73_4, all_73_3, all_73_2,
% 19.46/3.33 | all_73_1, all_73_0, all_73_4, all_73_3, all_88_0, simplifying
% 19.46/3.33 | with (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 19.46/3.33 | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 19.46/3.33 | (24), (25), (26), (27), (33), (34), (35), (36), (37) gives:
% 19.46/3.33 | (38) ? [v0: $i] : ($i(v0) & man(all_73_3, v0) & ! [v1: $i] : ( ~ $i(v1) |
% 19.46/3.33 | ~ present(all_73_3, v1) | ~ agent(all_73_3, v1, v0) | ~
% 19.46/3.33 | smoke(all_73_3, v1) | ~ event(all_73_3, v1)))
% 19.46/3.33 |
% 19.46/3.33 | DELTA: instantiating (38) with fresh symbol all_98_0 gives:
% 19.46/3.33 | (39) $i(all_98_0) & man(all_73_3, all_98_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 19.46/3.33 | present(all_73_3, v0) | ~ agent(all_73_3, v0, all_98_0) | ~
% 19.46/3.33 | smoke(all_73_3, v0) | ~ event(all_73_3, v0))
% 19.46/3.33 |
% 19.46/3.33 | ALPHA: (39) implies:
% 19.46/3.33 | (40) man(all_73_3, all_98_0)
% 19.46/3.33 | (41) $i(all_98_0)
% 19.46/3.33 | (42) ! [v0: $i] : ( ~ $i(v0) | ~ present(all_73_3, v0) | ~
% 19.46/3.33 | agent(all_73_3, v0, all_98_0) | ~ smoke(all_73_3, v0) | ~
% 19.46/3.33 | event(all_73_3, v0))
% 19.46/3.33 |
% 19.46/3.33 | GROUND_INST: instantiating (28) with all_98_0, simplifying with (40), (41)
% 19.46/3.33 | gives:
% 19.46/3.33 | (43) ? [v0: $i] : ($i(v0) & present(all_73_3, v0) & agent(all_73_3, v0,
% 19.46/3.33 | all_98_0) & smoke(all_73_3, v0) & event(all_73_3, v0))
% 19.46/3.33 |
% 19.46/3.33 | DELTA: instantiating (43) with fresh symbol all_107_0 gives:
% 19.46/3.33 | (44) $i(all_107_0) & present(all_73_3, all_107_0) & agent(all_73_3,
% 19.46/3.33 | all_107_0, all_98_0) & smoke(all_73_3, all_107_0) & event(all_73_3,
% 19.46/3.33 | all_107_0)
% 19.46/3.33 |
% 19.46/3.33 | ALPHA: (44) implies:
% 19.46/3.33 | (45) event(all_73_3, all_107_0)
% 19.46/3.33 | (46) smoke(all_73_3, all_107_0)
% 19.46/3.33 | (47) agent(all_73_3, all_107_0, all_98_0)
% 19.46/3.33 | (48) present(all_73_3, all_107_0)
% 19.46/3.33 | (49) $i(all_107_0)
% 19.46/3.33 |
% 19.46/3.33 | GROUND_INST: instantiating (42) with all_107_0, simplifying with (45), (46),
% 19.46/3.33 | (47), (48), (49) gives:
% 19.46/3.34 | (50) $false
% 19.46/3.34 |
% 19.46/3.34 | CLOSE: (50) is inconsistent.
% 19.46/3.34 |
% 19.46/3.34 End of proof
% 19.46/3.34 % SZS output end Proof for theBenchmark
% 19.46/3.34
% 19.46/3.34 2839ms
%------------------------------------------------------------------------------