%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI034+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:27:30 PM UTC 2026
% Result : CounterSatisfiable 0.16s 0.47s
% Output : Saturation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u88,axiom,
( ~ mode(X0)
| existsIn(X0,X2) ) ).
cnf(u93,axiom,
( ~ existsIn(X0,X1)
| existsIn(X0,X0)
| X0 = X1 ) ).
cnf(u95,axiom,
( ~ substance(X0)
| exists(X0) ) ).
cnf(u97,axiom,
( ~ existsIn(X0,X0)
| existsIn(X0,X1) ) ).
cnf(u92,axiom,
( ~ being(X0)
| exists(X0)
| ~ essenceInvExistence(X0) ) ).
cnf(u60,axiom,
( mode(X0)
| ~ existsIn(X0,X2)
| ~ conceivedThru(X0,X2) ) ).
cnf(u53,axiom,
( inItself(X0)
| ~ substance(X0) ) ).
cnf(u77,axiom,
( being(X0)
| ~ substance(X0) ) ).
cnf(u96,axiom,
( ~ conceivedThru(X0,X1)
| ~ existsIn(X0,X1)
| existsIn(X0,X2) ) ).
cnf(u79,axiom,
( hasEssence(X0)
| ~ being(X0) ) ).
cnf(u81,axiom,
( ~ exists(X1)
| existsIn(X1,X1) ) ).
cnf(u78,axiom,
( ~ inItself(X0)
| selfCaused(X0) ) ).
cnf(u80,axiom,
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ) ).
cnf(u91,axiom,
( essenceInvExistence(X0)
| ~ substance(X0) ) ).
cnf(u48,axiom,
( ~ selfCaused(X0)
| essenceInvExistence(X0) ) ).
cnf(u41,axiom,
( exists(X0)
| ~ existsIn(X0,X1)
| X0 = X1 ) ).
cnf(u82,axiom,
conceivedThru(X1,X1) ).
cnf(u98,axiom,
( existsIn(X0,X1)
| ~ existsIn(X0,X2)
| X0 = X2 ) ).
cnf(u90,axiom,
( selfCaused(X0)
| ~ substance(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI034+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:07:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (218055)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (218070)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=845242424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (218070) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-218055-218070"...
% 0.16/0.47 % (218067)% WARNING: option uhcvi not known.
% 0.16/0.47 % (218070)...printing done.
% 0.16/0.47 % SZS status CounterSatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Saturation.
% See solution above
% 0.16/0.47 % SZS output start Definitions and Model Updates.
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~existsIn(X0,X0) | exists(X0) is false, set exists(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever existsOnlyByNecessityOfOwnNature(X0) | ~free(X0) is false, set existsOnlyByNecessityOfOwnNature(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever determinedByFixedMethod(X0,X1) | ~necessary(X0) is false, set ~necessary(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever externalTo(X1,X0) | ~necessary(X0) is false, set externalTo(X1,X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever substance(X0) | ~absolutelyInfinite(X0) is false, set ~absolutelyInfinite(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~substance(X1) | ~modification(X0,X1) | mode(X0) is false, set ~modification(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever determinedByDefiniteMethod(X0,X1) | ~necessary(X0) is false, set determinedByDefiniteMethod(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever constInInfAttributes(X0) | ~absolutelyInfinite(X0) is false, set constInInfAttributes(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever attributeOf(X1,X0) | ~constInInfAttributes(X0) | ~substance(X0) | absolutelyInfinite(X0) is false, set ~constInInfAttributes(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~attributeOf(X1,X0) | expressesEternalEssentiality(X1) | ~absolutelyInfinite(X0) is false, set expressesEternalEssentiality(X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~expressesInfiniteEssentiality(X1) | ~expressesEternalEssentiality(X1) | ~constInInfAttributes(X0) | ~substance(X0) | absolutelyInfinite(X0) is false, set ~expressesInfiniteEssentiality(X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever conceivedThru(X0,X2) | substance(X1) | ~mode(X0) is false, set conceivedThru(X0,X2) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~attributeOf(X1,X0) | expressesInfiniteEssentiality(X1) | ~absolutelyInfinite(X0) is false, set ~attributeOf(X1,X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever canBeLimitedBy(sK0,sK1) | finiteAfterItsKind(sK0) is false, set finiteAfterItsKind(sK0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever sameKind(sK0,sK1) | finiteAfterItsKind(sK0) is false, set sameKind(sK0,sK1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever existsIn(X0,X2) | modification(X0,X1) | ~mode(X0) is false, set modification(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever conceivedThruItself(X0) | ~substance(X0) is false, set conceivedThruItself(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~determinedByItselfAlone(X1,X0) | ~existsOnlyByNecessityOfOwnNature(X0) | free(X0) is false, set ~determinedByItselfAlone(X1,X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~conceivedThruItself(X0) | ~inItself(X0) | substance(X0) is false, set ~conceivedThruItself(X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever conceivedThru(X0,X2) | modification(X0,X1) | ~mode(X0) is false, set modification(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~actionOf(X1,X0) | determinedByItselfAlone(X1,X0) | ~free(X0) is false, set determinedByItselfAlone(X1,X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever actionOf(X1,X0) | ~existsOnlyByNecessityOfOwnNature(X0) | free(X0) is false, set actionOf(X1,X0) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever isMethodExistence(X1) | isMethodAction(X1) | ~necessary(X0) is false, set isMethodExistence(X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~isMethodExistence(X1) | ~determinedByDefiniteMethod(X0,X1) | ~determinedByFixedMethod(X0,X1) | ~externalTo(X1,X0) | necessary(X0) is false, set ~determinedByDefiniteMethod(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~isMethodAction(X1) | ~determinedByDefiniteMethod(X0,X1) | ~determinedByFixedMethod(X0,X1) | ~externalTo(X1,X0) | necessary(X0) is false, set ~determinedByDefiniteMethod(X0,X1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~sameKind(sK0,sK1) | ~canBeLimitedBy(sK0,sK1) | ~finiteAfterItsKind(sK0) is false, set ~sameKind(sK0,sK1) to true
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever ~definiteCause(X0) | effectNecessarilyFollowsFrom(X1,X0) is false, set ~definiteCause(X0) to true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define haveNothingInCommon(X0,X1) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define canBeUnderstoodInTermsOf(X0,X1) := $false
% 0.16/0.47 for all inputs,
% 0.16/0.47 define conceptionInvolves(X0,X1) := $false
% 0.16/0.47 for all inputs,
% 0.16/0.47 define trueIdea(X0) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define correspondWith(X0,X1) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define ideateOf(X0,X1) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define objectOf(X0,X1) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define canBeConceivedAsNonExisting(X0) := $false
% 0.16/0.47 for all inputs,
% 0.16/0.47 define natureConcOnlyByExistence(X0) := $true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define knowledgeOfEffect(X0,X1) := knowledgeOfACause(X0)
% 0.16/0.47 for all groundings,
% 0.16/0.47 whenever essenceInvExistence(X0) & natureConcOnlyByExistence(X0) is true, set selfCaused(X0) to true
% 0.16/0.47 for all inputs,
% 0.16/0.47 define attribute(X0) := intPercAsConstEssSub(X0)
% 0.16/0.47 for all inputs,
% 0.16/0.47 define god(X0) := being(X0) & absolutelyInfinite(X0)
% 0.16/0.47 for all inputs,
% 0.16/0.47 define eternity(X0) := existConcFollowFromDefEternal(X0)
% 0.16/0.47 % SZS output end Definitions and Model Updates.
% 0.16/0.47 % (218070)------------------------------
% 0.16/0.47 % (218070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (218070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (218070)CaDiCaL version: 2.1.3
% 0.16/0.47 % (218070)Termination reason: Satisfiable
% 0.16/0.47 % (218070)Time elapsed: 0.002 s
% 0.16/0.47 % (218070)Peak memory usage: 12 MB
% 0.16/0.47 % (218070)Instructions burned: 2 (million)
% 0.16/0.47 % (218055)Success in time 0.038 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------