%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 : 600s % DateTime : Mon Jul 18 16:45:12 EDT 2022 % Result : Theorem 2.37s 1.22s % Output : Proof 3.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PHI023+1 : TPTP v8.1.0. Released v7.4.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 2 01:17:53 EDT 2022 % 0.12/0.33 % CPUTime : % 0.49/0.56 ____ _ % 0.49/0.56 ___ / __ \_____(_)___ ________ __________ % 0.49/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.49/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.49/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.49/0.56 % 0.49/0.56 A Theorem Prover for First-Order Logic % 0.57/0.56 (ePrincess v.1.0) % 0.57/0.56 % 0.57/0.56 (c) Philipp Rümmer, 2009-2015 % 0.57/0.56 (c) Peter Backeman, 2014-2015 % 0.57/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.56 Bug reports to peter@backeman.se % 0.57/0.56 % 0.57/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.56 % 0.57/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.57/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.54/0.89 Prover 0: Preprocessing ... % 2.12/1.07 Prover 0: Warning: ignoring some quantifiers % 2.12/1.10 Prover 0: Constructing countermodel ... % 2.37/1.22 Prover 0: proved (610ms) % 2.37/1.22 % 2.37/1.22 No countermodel exists, formula is valid % 2.37/1.22 % SZS status Theorem for theBenchmark % 2.37/1.22 % 2.37/1.22 Generating proof ... Warning: ignoring some quantifiers % 3.17/1.42 found it (size 11) % 3.17/1.42 % 3.17/1.42 % SZS output start Proof for theBenchmark % 3.17/1.42 Assumed formulas after preprocessing and simplification: % 3.17/1.42 | (0) ? [v0] : (god(v0) & ~ exists(v0) & ! [v1] : ! [v2] : (v2 = v1 | ~ existsIn(v1, v2) | exists(v1)) & ! [v1] : ! [v2] : ( ~ conceptionInvolves(v2, v1) | ~ haveNothingInCommon(v1, v2)) & ! [v1] : ! [v2] : ( ~ conceptionInvolves(v1, v2) | ~ haveNothingInCommon(v1, v2)) & ! [v1] : ! [v2] : ( ~ canBeUnderstoodInTermsOf(v2, v1) | ~ haveNothingInCommon(v1, v2)) & ! [v1] : ! [v2] : ( ~ canBeUnderstoodInTermsOf(v1, v2) | ~ haveNothingInCommon(v1, v2)) & ! [v1] : ! [v2] : ( ~ knowledgeOfEffect(v1, v2) | knowledgeOfACause(v1)) & ! [v1] : ! [v2] : ( ~ isMethodExistence(v2) | ~ determinedByDefiniteMethod(v1, v2) | ~ determinedByFixedMethod(v1, v2) | ~ externalTo(v2, v1) | necessary(v1)) & ! [v1] : ! [v2] : ( ~ isMethodAction(v2) | ~ determinedByDefiniteMethod(v1, v2) | ~ determinedByFixedMethod(v1, v2) | ~ externalTo(v2, v1) | necessary(v1)) & ! [v1] : ! [v2] : ( ~ determinedByItselfAlone(v2, v1) | ~ existsOnlyByNecessityOfOwnNature(v1) | free(v1)) & ! [v1] : ! [v2] : ( ~ actionOf(v2, v1) | ~ free(v1) | determinedByItselfAlone(v2, v1)) & ! [v1] : ! [v2] : ( ~ expressesInfiniteEssentiality(v2) | ~ expressesEternalEssentiality(v2) | ~ constInInfAttributes(v1) | ~ substance(v1) | absolutelyInfinite(v1)) & ! [v1] : ! [v2] : ( ~ attributeOf(v2, v1) | ~ absolutelyInfinite(v1) | expressesInfiniteEssentiality(v2)) & ! [v1] : ! [v2] : ( ~ attributeOf(v2, v1) | ~ absolutelyInfinite(v1) | expressesEternalEssentiality(v2)) & ! [v1] : ! [v2] : ( ~ conceivedThru(v1, v2) | ~ existsIn(v1, v2) | mode(v1)) & ! [v1] : ! [v2] : ( ~ modification(v1, v2) | ~ substance(v2) | mode(v1)) & ! [v1] : ! [v2] : ( ~ sameKind(v1, v2) | ~ canBeLimitedBy(v1, v2) | finiteAfterItsKind(v1)) & ? [v1] : ? [v2] : ! [v3] : ( ~ mode(v3) | conceivedThru(v3, v1) | modification(v3, v2)) & ? [v1] : ? [v2] : ! [v3] : ( ~ mode(v3) | conceivedThru(v3, v1) | substance(v2)) & ? [v1] : ? [v2] : ! [v3] : ( ~ mode(v3) | existsIn(v3, v1) | modification(v3, v2)) & ? [v1] : ? [v2] : ! [v3] : ( ~ mode(v3) | existsIn(v3, v1) | substance(v2)) & ? [v1] : ! [v2] : ( ~ trueIdea(v2) | objectOf(v1, v2) | ideateOf(v1, v2)) & ? [v1] : ! [v2] : ( ~ trueIdea(v2) | correspondWith(v2, v1)) & ? [v1] : ! [v2] : ( ~ knowledgeOfACause(v2) | knowledgeOfEffect(v2, v1)) & ? [v1] : ! [v2] : ( ~ definiteCause(v2) | effectNecessarilyFollowsFrom(v1, v2)) & ? [v1] : ! [v2] : ( ~ exists(v2) | existsIn(v2, v2) | existsIn(v2, v1)) & ? [v1] : ! [v2] : ( ~ necessary(v2) | isMethodExistence(v1) | isMethodAction(v1)) & ? [v1] : ! [v2] : ( ~ necessary(v2) | determinedByDefiniteMethod(v2, v1)) & ? [v1] : ! [v2] : ( ~ necessary(v2) | determinedByFixedMethod(v2, v1)) & ? [v1] : ! [v2] : ( ~ necessary(v2) | externalTo(v1, v2)) & ? [v1] : ! [v2] : ( ~ existsOnlyByNecessityOfOwnNature(v2) | actionOf(v1, v2) | free(v2)) & ? [v1] : ! [v2] : ( ~ constInInfAttributes(v2) | ~ substance(v2) | attributeOf(v1, v2) | absolutelyInfinite(v2)) & ? [v1] : ! [v2] : ( ~ finiteAfterItsKind(v2) | sameKind(v2, v1)) & ? [v1] : ! [v2] : ( ~ finiteAfterItsKind(v2) | canBeLimitedBy(v2, v1)) & ! [v1] : ( ~ hasEssence(v1) | ~ essenceInvExistence(v1) | exists(v1)) & ! [v1] : ( ~ canBeConceivedAsNonExisting(v1) | ~ essenceInvExistence(v1)) & ! [v1] : ( ~ exists(v1) | existsIn(v1, v1)) & ! [v1] : ( ~ existConcFollowFromDefEternal(v1) | eternity(v1)) & ! [v1] : ( ~ eternity(v1) | existConcFollowFromDefEternal(v1)) & ! [v1] : ( ~ free(v1) | existsOnlyByNecessityOfOwnNature(v1)) & ! [v1] : ( ~ absolutelyInfinite(v1) | ~ being(v1) | god(v1)) & ! [v1] : ( ~ absolutelyInfinite(v1) | constInInfAttributes(v1)) & ! [v1] : ( ~ absolutelyInfinite(v1) | substance(v1)) & ! [v1] : ( ~ being(v1) | hasEssence(v1)) & ! [v1] : ( ~ god(v1) | absolutelyInfinite(v1)) & ! [v1] : ( ~ god(v1) | being(v1)) & ! [v1] : ( ~ existsIn(v1, v1) | exists(v1)) & ! [v1] : ( ~ intPercAsConstEssSub(v1) | attribute(v1)) & ! [v1] : ( ~ attribute(v1) | intPercAsConstEssSub(v1)) & ! [v1] : ( ~ conceivedThruItself(v1) | ~ inItself(v1) | substance(v1)) & ! [v1] : ( ~ inItself(v1) | selfCaused(v1)) & ! [v1] : ( ~ substance(v1) | conceivedThruItself(v1)) & ! [v1] : ( ~ substance(v1) | inItself(v1)) & ! [v1] : ( ~ natureConcOnlyByExistence(v1) | ~ essenceInvExistence(v1) | selfCaused(v1)) & ! [v1] : ( ~ selfCaused(v1) | natureConcOnlyByExistence(v1)) & ! [v1] : ( ~ selfCaused(v1) | essenceInvExistence(v1)) & ? [v1] : ? [v2] : (conceivedThru(v1, v2) | conceivedThru(v1, v1)) & ? [v1] : conceivedThru(v1, v1)) % 3.51/1.44 | Instantiating (0) with all_0_0_0 yields: % 3.51/1.44 | (1) god(all_0_0_0) & ~ exists(all_0_0_0) & ! [v0] : ! [v1] : (v1 = v0 | ~ existsIn(v0, v1) | exists(v0)) & ! [v0] : ! [v1] : ( ~ conceptionInvolves(v1, v0) | ~ haveNothingInCommon(v0, v1)) & ! [v0] : ! [v1] : ( ~ conceptionInvolves(v0, v1) | ~ haveNothingInCommon(v0, v1)) & ! [v0] : ! [v1] : ( ~ canBeUnderstoodInTermsOf(v1, v0) | ~ haveNothingInCommon(v0, v1)) & ! [v0] : ! [v1] : ( ~ canBeUnderstoodInTermsOf(v0, v1) | ~ haveNothingInCommon(v0, v1)) & ! [v0] : ! [v1] : ( ~ knowledgeOfEffect(v0, v1) | knowledgeOfACause(v0)) & ! [v0] : ! [v1] : ( ~ isMethodExistence(v1) | ~ determinedByDefiniteMethod(v0, v1) | ~ determinedByFixedMethod(v0, v1) | ~ externalTo(v1, v0) | necessary(v0)) & ! [v0] : ! [v1] : ( ~ isMethodAction(v1) | ~ determinedByDefiniteMethod(v0, v1) | ~ determinedByFixedMethod(v0, v1) | ~ externalTo(v1, v0) | necessary(v0)) & ! [v0] : ! [v1] : ( ~ determinedByItselfAlone(v1, v0) | ~ existsOnlyByNecessityOfOwnNature(v0) | free(v0)) & ! [v0] : ! [v1] : ( ~ actionOf(v1, v0) | ~ free(v0) | determinedByItselfAlone(v1, v0)) & ! [v0] : ! [v1] : ( ~ expressesInfiniteEssentiality(v1) | ~ expressesEternalEssentiality(v1) | ~ constInInfAttributes(v0) | ~ substance(v0) | absolutelyInfinite(v0)) & ! [v0] : ! [v1] : ( ~ attributeOf(v1, v0) | ~ absolutelyInfinite(v0) | expressesInfiniteEssentiality(v1)) & ! [v0] : ! [v1] : ( ~ attributeOf(v1, v0) | ~ absolutelyInfinite(v0) | expressesEternalEssentiality(v1)) & ! [v0] : ! [v1] : ( ~ conceivedThru(v0, v1) | ~ existsIn(v0, v1) | mode(v0)) & ! [v0] : ! [v1] : ( ~ modification(v0, v1) | ~ substance(v1) | mode(v0)) & ! [v0] : ! [v1] : ( ~ sameKind(v0, v1) | ~ canBeLimitedBy(v0, v1) | finiteAfterItsKind(v0)) & ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | conceivedThru(v2, v0) | modification(v2, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | conceivedThru(v2, v0) | substance(v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | existsIn(v2, v0) | modification(v2, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | existsIn(v2, v0) | substance(v1)) & ? [v0] : ! [v1] : ( ~ trueIdea(v1) | objectOf(v0, v1) | ideateOf(v0, v1)) & ? [v0] : ! [v1] : ( ~ trueIdea(v1) | correspondWith(v1, v0)) & ? [v0] : ! [v1] : ( ~ knowledgeOfACause(v1) | knowledgeOfEffect(v1, v0)) & ? [v0] : ! [v1] : ( ~ definiteCause(v1) | effectNecessarilyFollowsFrom(v0, v1)) & ? [v0] : ! [v1] : ( ~ exists(v1) | existsIn(v1, v1) | existsIn(v1, v0)) & ? [v0] : ! [v1] : ( ~ necessary(v1) | isMethodExistence(v0) | isMethodAction(v0)) & ? [v0] : ! [v1] : ( ~ necessary(v1) | determinedByDefiniteMethod(v1, v0)) & ? [v0] : ! [v1] : ( ~ necessary(v1) | determinedByFixedMethod(v1, v0)) & ? [v0] : ! [v1] : ( ~ necessary(v1) | externalTo(v0, v1)) & ? [v0] : ! [v1] : ( ~ existsOnlyByNecessityOfOwnNature(v1) | actionOf(v0, v1) | free(v1)) & ? [v0] : ! [v1] : ( ~ constInInfAttributes(v1) | ~ substance(v1) | attributeOf(v0, v1) | absolutelyInfinite(v1)) & ? [v0] : ! [v1] : ( ~ finiteAfterItsKind(v1) | sameKind(v1, v0)) & ? [v0] : ! [v1] : ( ~ finiteAfterItsKind(v1) | canBeLimitedBy(v1, v0)) & ! [v0] : ( ~ hasEssence(v0) | ~ essenceInvExistence(v0) | exists(v0)) & ! [v0] : ( ~ canBeConceivedAsNonExisting(v0) | ~ essenceInvExistence(v0)) & ! [v0] : ( ~ exists(v0) | existsIn(v0, v0)) & ! [v0] : ( ~ existConcFollowFromDefEternal(v0) | eternity(v0)) & ! [v0] : ( ~ eternity(v0) | existConcFollowFromDefEternal(v0)) & ! [v0] : ( ~ free(v0) | existsOnlyByNecessityOfOwnNature(v0)) & ! [v0] : ( ~ absolutelyInfinite(v0) | ~ being(v0) | god(v0)) & ! [v0] : ( ~ absolutelyInfinite(v0) | constInInfAttributes(v0)) & ! [v0] : ( ~ absolutelyInfinite(v0) | substance(v0)) & ! [v0] : ( ~ being(v0) | hasEssence(v0)) & ! [v0] : ( ~ god(v0) | absolutelyInfinite(v0)) & ! [v0] : ( ~ god(v0) | being(v0)) & ! [v0] : ( ~ existsIn(v0, v0) | exists(v0)) & ! [v0] : ( ~ intPercAsConstEssSub(v0) | attribute(v0)) & ! [v0] : ( ~ attribute(v0) | intPercAsConstEssSub(v0)) & ! [v0] : ( ~ conceivedThruItself(v0) | ~ inItself(v0) | substance(v0)) & ! [v0] : ( ~ inItself(v0) | selfCaused(v0)) & ! [v0] : ( ~ substance(v0) | conceivedThruItself(v0)) & ! [v0] : ( ~ substance(v0) | inItself(v0)) & ! [v0] : ( ~ natureConcOnlyByExistence(v0) | ~ essenceInvExistence(v0) | selfCaused(v0)) & ! [v0] : ( ~ selfCaused(v0) | natureConcOnlyByExistence(v0)) & ! [v0] : ( ~ selfCaused(v0) | essenceInvExistence(v0)) & ? [v0] : ? [v1] : (conceivedThru(v0, v1) | conceivedThru(v0, v0)) & ? [v0] : conceivedThru(v0, v0) % 3.51/1.45 | % 3.51/1.45 | Applying alpha-rule on (1) yields: % 3.51/1.45 | (2) ! [v0] : ( ~ inItself(v0) | selfCaused(v0)) % 3.51/1.45 | (3) ! [v0] : ( ~ absolutelyInfinite(v0) | substance(v0)) % 3.51/1.45 | (4) ? [v0] : ! [v1] : ( ~ constInInfAttributes(v1) | ~ substance(v1) | attributeOf(v0, v1) | absolutelyInfinite(v1)) % 3.51/1.45 | (5) ? [v0] : ! [v1] : ( ~ necessary(v1) | determinedByFixedMethod(v1, v0)) % 3.51/1.45 | (6) ! [v0] : ( ~ substance(v0) | conceivedThruItself(v0)) % 3.51/1.45 | (7) ! [v0] : ! [v1] : ( ~ determinedByItselfAlone(v1, v0) | ~ existsOnlyByNecessityOfOwnNature(v0) | free(v0)) % 3.51/1.45 | (8) ? [v0] : ! [v1] : ( ~ definiteCause(v1) | effectNecessarilyFollowsFrom(v0, v1)) % 3.51/1.46 | (9) ! [v0] : ( ~ existsIn(v0, v0) | exists(v0)) % 3.51/1.46 | (10) ! [v0] : ( ~ exists(v0) | existsIn(v0, v0)) % 3.51/1.46 | (11) ! [v0] : ( ~ selfCaused(v0) | natureConcOnlyByExistence(v0)) % 3.51/1.46 | (12) ? [v0] : ! [v1] : ( ~ necessary(v1) | determinedByDefiniteMethod(v1, v0)) % 3.51/1.46 | (13) ! [v0] : ( ~ absolutelyInfinite(v0) | ~ being(v0) | god(v0)) % 3.51/1.46 | (14) ? [v0] : ? [v1] : (conceivedThru(v0, v1) | conceivedThru(v0, v0)) % 3.51/1.46 | (15) ? [v0] : ! [v1] : ( ~ existsOnlyByNecessityOfOwnNature(v1) | actionOf(v0, v1) | free(v1)) % 3.51/1.46 | (16) ! [v0] : ( ~ free(v0) | existsOnlyByNecessityOfOwnNature(v0)) % 3.51/1.46 | (17) ! [v0] : ( ~ canBeConceivedAsNonExisting(v0) | ~ essenceInvExistence(v0)) % 3.51/1.46 | (18) ! [v0] : ( ~ natureConcOnlyByExistence(v0) | ~ essenceInvExistence(v0) | selfCaused(v0)) % 3.51/1.46 | (19) ! [v0] : ! [v1] : ( ~ sameKind(v0, v1) | ~ canBeLimitedBy(v0, v1) | finiteAfterItsKind(v0)) % 3.51/1.46 | (20) ! [v0] : ! [v1] : ( ~ canBeUnderstoodInTermsOf(v1, v0) | ~ haveNothingInCommon(v0, v1)) % 3.51/1.46 | (21) ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | conceivedThru(v2, v0) | modification(v2, v1)) % 3.51/1.46 | (22) ? [v0] : ! [v1] : ( ~ exists(v1) | existsIn(v1, v1) | existsIn(v1, v0)) % 3.51/1.46 | (23) ? [v0] : ! [v1] : ( ~ necessary(v1) | isMethodExistence(v0) | isMethodAction(v0)) % 3.51/1.46 | (24) ~ exists(all_0_0_0) % 3.51/1.46 | (25) ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | conceivedThru(v2, v0) | substance(v1)) % 3.51/1.46 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ existsIn(v0, v1) | exists(v0)) % 3.51/1.46 | (27) ! [v0] : ( ~ god(v0) | absolutelyInfinite(v0)) % 3.51/1.46 | (28) ! [v0] : ( ~ selfCaused(v0) | essenceInvExistence(v0)) % 3.51/1.46 | (29) ? [v0] : ! [v1] : ( ~ necessary(v1) | externalTo(v0, v1)) % 3.51/1.46 | (30) ! [v0] : ! [v1] : ( ~ attributeOf(v1, v0) | ~ absolutelyInfinite(v0) | expressesInfiniteEssentiality(v1)) % 3.51/1.46 | (31) ! [v0] : ( ~ attribute(v0) | intPercAsConstEssSub(v0)) % 3.51/1.46 | (32) ! [v0] : ( ~ intPercAsConstEssSub(v0) | attribute(v0)) % 3.51/1.46 | (33) ! [v0] : ! [v1] : ( ~ modification(v0, v1) | ~ substance(v1) | mode(v0)) % 3.51/1.46 | (34) ! [v0] : ( ~ eternity(v0) | existConcFollowFromDefEternal(v0)) % 3.51/1.46 | (35) ! [v0] : ( ~ existConcFollowFromDefEternal(v0) | eternity(v0)) % 3.51/1.46 | (36) ? [v0] : ! [v1] : ( ~ knowledgeOfACause(v1) | knowledgeOfEffect(v1, v0)) % 3.51/1.46 | (37) ! [v0] : ! [v1] : ( ~ attributeOf(v1, v0) | ~ absolutelyInfinite(v0) | expressesEternalEssentiality(v1)) % 3.51/1.46 | (38) ! [v0] : ! [v1] : ( ~ isMethodExistence(v1) | ~ determinedByDefiniteMethod(v0, v1) | ~ determinedByFixedMethod(v0, v1) | ~ externalTo(v1, v0) | necessary(v0)) % 3.51/1.46 | (39) ! [v0] : ( ~ conceivedThruItself(v0) | ~ inItself(v0) | substance(v0)) % 3.51/1.46 | (40) ! [v0] : ( ~ substance(v0) | inItself(v0)) % 3.51/1.46 | (41) ! [v0] : ( ~ being(v0) | hasEssence(v0)) % 3.51/1.46 | (42) ? [v0] : ! [v1] : ( ~ finiteAfterItsKind(v1) | canBeLimitedBy(v1, v0)) % 3.51/1.46 | (43) ? [v0] : ! [v1] : ( ~ trueIdea(v1) | objectOf(v0, v1) | ideateOf(v0, v1)) % 3.51/1.46 | (44) ! [v0] : ! [v1] : ( ~ conceptionInvolves(v1, v0) | ~ haveNothingInCommon(v0, v1)) % 3.51/1.46 | (45) ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | existsIn(v2, v0) | substance(v1)) % 3.51/1.47 | (46) ! [v0] : ( ~ hasEssence(v0) | ~ essenceInvExistence(v0) | exists(v0)) % 3.51/1.47 | (47) ! [v0] : ! [v1] : ( ~ isMethodAction(v1) | ~ determinedByDefiniteMethod(v0, v1) | ~ determinedByFixedMethod(v0, v1) | ~ externalTo(v1, v0) | necessary(v0)) % 3.51/1.47 | (48) ? [v0] : ! [v1] : ( ~ finiteAfterItsKind(v1) | sameKind(v1, v0)) % 3.51/1.47 | (49) ! [v0] : ( ~ god(v0) | being(v0)) % 3.51/1.47 | (50) ! [v0] : ! [v1] : ( ~ knowledgeOfEffect(v0, v1) | knowledgeOfACause(v0)) % 3.51/1.47 | (51) ! [v0] : ! [v1] : ( ~ expressesInfiniteEssentiality(v1) | ~ expressesEternalEssentiality(v1) | ~ constInInfAttributes(v0) | ~ substance(v0) | absolutelyInfinite(v0)) % 3.51/1.47 | (52) ! [v0] : ! [v1] : ( ~ actionOf(v1, v0) | ~ free(v0) | determinedByItselfAlone(v1, v0)) % 3.51/1.47 | (53) ! [v0] : ! [v1] : ( ~ conceptionInvolves(v0, v1) | ~ haveNothingInCommon(v0, v1)) % 3.51/1.47 | (54) ? [v0] : ! [v1] : ( ~ trueIdea(v1) | correspondWith(v1, v0)) % 3.51/1.47 | (55) ! [v0] : ! [v1] : ( ~ canBeUnderstoodInTermsOf(v0, v1) | ~ haveNothingInCommon(v0, v1)) % 3.51/1.47 | (56) god(all_0_0_0) % 3.51/1.47 | (57) ! [v0] : ( ~ absolutelyInfinite(v0) | constInInfAttributes(v0)) % 3.51/1.47 | (58) ? [v0] : ? [v1] : ! [v2] : ( ~ mode(v2) | existsIn(v2, v0) | modification(v2, v1)) % 3.51/1.47 | (59) ? [v0] : conceivedThru(v0, v0) % 3.51/1.47 | (60) ! [v0] : ! [v1] : ( ~ conceivedThru(v0, v1) | ~ existsIn(v0, v1) | mode(v0)) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (27) with all_0_0_0 and discharging atoms god(all_0_0_0), yields: % 3.51/1.47 | (61) absolutelyInfinite(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (49) with all_0_0_0 and discharging atoms god(all_0_0_0), yields: % 3.51/1.47 | (62) being(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (3) with all_0_0_0 and discharging atoms absolutelyInfinite(all_0_0_0), yields: % 3.51/1.47 | (63) substance(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (41) with all_0_0_0 and discharging atoms being(all_0_0_0), yields: % 3.51/1.47 | (64) hasEssence(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (40) with all_0_0_0 and discharging atoms substance(all_0_0_0), yields: % 3.51/1.47 | (65) inItself(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (2) with all_0_0_0 and discharging atoms inItself(all_0_0_0), yields: % 3.51/1.47 | (66) selfCaused(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (28) with all_0_0_0 and discharging atoms selfCaused(all_0_0_0), yields: % 3.51/1.47 | (67) essenceInvExistence(all_0_0_0) % 3.51/1.47 | % 3.51/1.47 | Instantiating formula (46) with all_0_0_0 and discharging atoms hasEssence(all_0_0_0), essenceInvExistence(all_0_0_0), ~ exists(all_0_0_0), yields: % 3.51/1.47 | (68) $false % 3.70/1.47 | % 3.70/1.47 |-The branch is then unsatisfiable % 3.70/1.47 % SZS output end Proof for theBenchmark % 3.70/1.47 % 3.70/1.47 901ms %------------------------------------------------------------------------------