%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI035+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 : n003.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 0.10s 0.46s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u136,axiom,
( isMethodExistence(X1)
| isMethodAction(X1) ) ).
cnf(u140,axiom,
( expressesInfiniteEssentiality(X1)
| ~ expressesEternalEssentiality(X1) ) ).
cnf(u147,axiom,
( mode(X0)
| conceivedThru(X0,X2) ) ).
cnf(u154,axiom,
( mode(X0)
| ~ existsIn(X0,X2) ) ).
cnf(u158,negated_conjecture,
~ substance(sK0) ).
cnf(u163,negated_conjecture,
~ conceivedThruItself(sK0) ).
cnf(u168,negated_conjecture,
~ inItself(sK0) ).
cnf(u181,axiom,
( ~ existsIn(X0,X1)
| ~ exists(X0) ) ).
cnf(u100,axiom,
( exists(X0)
| existsIn(X0,X1)
| X0 = X1 ) ).
cnf(u175,axiom,
( ~ being(X0)
| exists(X0)
| essenceInvExistence(X0) ) ).
cnf(u128,axiom,
( ~ determinedByDefiniteMethod(X0,X1)
| ~ necessary(X0) ) ).
cnf(u116,axiom,
( attributeOf(X1,X0)
| ~ substance(X0)
| ~ constInInfAttributes(X0)
| ~ absolutelyInfinite(X0) ) ).
cnf(u102,axiom,
( ~ existsIn(X1,X1)
| ~ exists(X1) ) ).
cnf(u127,axiom,
( ~ determinedByFixedMethod(X0,X1)
| ~ necessary(X0) ) ).
cnf(u173,negated_conjecture,
selfCaused(sK0) ).
cnf(u121,axiom,
( existsOnlyByNecessityOfOwnNature(X0)
| free(X0)
| ~ determinedByItselfAlone(X1,X0) ) ).
cnf(u123,axiom,
( ~ existsOnlyByNecessityOfOwnNature(X0)
| ~ free(X0) ) ).
cnf(u125,axiom,
( necessary(X0)
| externalTo(X1,X0)
| determinedByFixedMethod(X0,X1)
| determinedByDefiniteMethod(X0,X1)
| ~ isMethodExistence(X1) ) ).
cnf(u117,axiom,
( absolutelyInfinite(X0)
| substance(X0) ) ).
cnf(u119,axiom,
( expressesEternalEssentiality(X1)
| ~ attributeOf(X1,X0)
| absolutelyInfinite(X0) ) ).
cnf(u111,axiom,
( mode(X0)
| ~ existsIn(X0,X2)
| ~ modification(X0,X1) ) ).
cnf(u63,axiom,
( effectNecessarilyFollowsFrom(X1,X0)
| ~ definiteCause(X0) ) ).
cnf(u99,axiom,
( exists(X0)
| existsIn(X0,X0) ) ).
cnf(u109,axiom,
( modification(X0,X1)
| ~ mode(X0)
| ~ substance(X1) ) ).
cnf(u180,axiom,
( ~ mode(X0)
| ~ exists(X0) ) ).
cnf(u103,axiom,
( ~ selfCaused(X0)
| ~ essenceInvExistence(X0) ) ).
cnf(u182,axiom,
( conceivedThru(X0,X1)
| ~ exists(X0) ) ).
cnf(u129,axiom,
( inItself(X0)
| selfCaused(X0) ) ).
cnf(u105,axiom,
( ~ canBeLimitedBy(X0,X1)
| ~ finiteAfterItsKind(X0) ) ).
cnf(u83,axiom,
( determinedByItselfAlone(X1,X0)
| ~ actionOf(X1,X0)
| ~ free(X0) ) ).
cnf(u120,axiom,
( absolutelyInfinite(X0)
| ~ attributeOf(X1,X0)
| ~ expressesInfiniteEssentiality(X1) ) ).
cnf(u93,axiom,
( being(X0)
| ~ substance(X0) ) ).
cnf(u122,axiom,
( existsOnlyByNecessityOfOwnNature(X0)
| free(X0)
| actionOf(X1,X0) ) ).
cnf(u174,negated_conjecture,
~ essenceInvExistence(sK0) ).
cnf(u124,axiom,
( necessary(X0)
| externalTo(X1,X0)
| determinedByFixedMethod(X0,X1)
| determinedByDefiniteMethod(X0,X1)
| ~ isMethodAction(X1) ) ).
cnf(u126,axiom,
( ~ externalTo(X1,X0)
| ~ necessary(X0) ) ).
cnf(u118,axiom,
( constInInfAttributes(X0)
| absolutelyInfinite(X0) ) ).
cnf(u176,axiom,
( ~ substance(X0)
| essenceInvExistence(X0)
| exists(X0) ) ).
cnf(u65,axiom,
( sameKind(X0,X1)
| ~ finiteAfterItsKind(X0) ) ).
cnf(u104,axiom,
( finiteAfterItsKind(X0)
| canBeLimitedBy(X0,X1)
| ~ sameKind(X0,X1) ) ).
cnf(u98,axiom,
conceivedThru(X1,X1) ).
cnf(u112,axiom,
( mode(X0)
| conceivedThru(X0,X2)
| ~ modification(X0,X1) ) ).
cnf(u110,axiom,
( ~ conceivedThru(X0,X2)
| existsIn(X0,X2)
| ~ mode(X0) ) ).
cnf(u179,axiom,
( existsIn(X0,X0)
| ~ mode(X0) ) ).
cnf(u130,axiom,
( ~ hasEssence(X0)
| essenceInvExistence(X0)
| exists(X0) ) ).
cnf(u95,axiom,
( hasEssence(X0)
| ~ being(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI035+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:09:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (963362)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (963382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2051864593:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (963382) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-963362-963382"...
% 0.10/0.46 % (963382)...printing done.
% 0.10/0.46 % (963376)% WARNING: option uhcvi not known.
% 0.10/0.46 % SZS status CounterSatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Saturation.
% See solution above
% 0.10/0.46 % SZS output start Definitions and Model Updates.
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "existConcFollowFromDefEternal"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "eternity"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "determinedByDefiniteMethod"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "determinedByFixedMethod"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "externalTo"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "existsOnlyByNecessityOfOwnNature"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "expressesInfiniteEssentiality"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "absolutelyInfinite"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "god"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "modification"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "mode"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "intPercAsConstEssSub"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "conceivedThruItself"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "inItself"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "canBeLimitedBy"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "natureConcOnlyByExistence"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "essenceInvExistence"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "objectOf"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "trueIdea"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "conceptionInvolves"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "knowledgeOfEffect"
% 0.10/0.46 globally flip the polarity of every occurrence of predicate "existsIn"
% 0.10/0.46 for all inputs,
% 0.10/0.46 define haveNothingInCommon(X0,X1) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define canBeUnderstoodInTermsOf(X0,X1) := $false
% 0.10/0.46 for all inputs,
% 0.10/0.46 define conceptionInvolves(X0,X1) := $false
% 0.10/0.46 for all inputs,
% 0.10/0.46 define trueIdea(X0) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define correspondWith(X0,X1) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define ideateOf(X0,X1) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define objectOf(X0,X1) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define canBeConceivedAsNonExisting(X0) := $false
% 0.10/0.46 for all inputs,
% 0.10/0.46 define natureConcOnlyByExistence(X0) := $true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define knowledgeOfEffect(X0,X1) := knowledgeOfACause(X0)
% 0.10/0.46 for all groundings,
% 0.10/0.46 whenever essenceInvExistence(X0) & natureConcOnlyByExistence(X0) is true, set selfCaused(X0) to true
% 0.10/0.46 for all inputs,
% 0.10/0.46 define attribute(X0) := intPercAsConstEssSub(X0)
% 0.10/0.46 for all inputs,
% 0.10/0.46 define god(X0) := being(X0) & absolutelyInfinite(X0)
% 0.10/0.46 for all inputs,
% 0.10/0.46 define eternity(X0) := existConcFollowFromDefEternal(X0)
% 0.10/0.46 % SZS output end Definitions and Model Updates.
% 0.10/0.46 % (963382)------------------------------
% 0.10/0.46 % (963382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (963382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (963382)CaDiCaL version: 2.1.3
% 0.10/0.46 % (963382)Termination reason: Satisfiable
% 0.10/0.46 % (963382)Time elapsed: 0.002 s
% 0.10/0.46 % (963382)Peak memory usage: 12 MB
% 0.10/0.46 % (963382)Instructions burned: 3 (million)
% 0.10/0.46 % (963362)Success in time 0.037 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------