%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------