%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PHI023+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 : Wed Apr 9 08:22:26 PM UTC 2025
% Result : Theorem 4.18s 2.53s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 20 ~; 15 |; 7 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 49 ( 48 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sameKind > objectOf > modification > knowledgeOfEffect > ideateOf > haveNothingInCommon > externalTo > existsIn > effectNecessarilyFollowsFrom > determinedByItselfAlone > determinedByFixedMethod > determinedByDefiniteMethod > correspondWith > conceptionInvolves > conceivedThru > canBeUnderstoodInTermsOf > canBeLimitedBy > attributeOf > actionOf > trueIdea > substance > selfCaused > necessary > natureConcOnlyByExistence > mode > knowledgeOfACause > isMethodExistence > isMethodAction > intPercAsConstEssSub > inItself > hasEssence > god > free > finiteAfterItsKind > expressesInfiniteEssentiality > expressesEternalEssentiality > existsOnlyByNecessityOfOwnNature > exists > existConcFollowFromDefEternal > eternity > essenceInvExistence > definiteCause > constInInfAttributes > conceivedThruItself > canBeConceivedAsNonExisting > being > attribute > absolutelyInfinite > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(being,type,
being: $i > $o ).
tff(externalTo,type,
externalTo: ( $i * $i ) > $o ).
tff(isMethodAction,type,
isMethodAction: $i > $o ).
tff(intPercAsConstEssSub,type,
intPercAsConstEssSub: $i > $o ).
tff(necessary,type,
necessary: $i > $o ).
tff(attributeOf,type,
attributeOf: ( $i * $i ) > $o ).
tff(finiteAfterItsKind,type,
finiteAfterItsKind: $i > $o ).
tff(existsIn,type,
existsIn: ( $i * $i ) > $o ).
tff(definiteCause,type,
definiteCause: $i > $o ).
tff(trueIdea,type,
trueIdea: $i > $o ).
tff(substance,type,
substance: $i > $o ).
tff(free,type,
free: $i > $o ).
tff(knowledgeOfACause,type,
knowledgeOfACause: $i > $o ).
tff(attribute,type,
attribute: $i > $o ).
tff(canBeUnderstoodInTermsOf,type,
canBeUnderstoodInTermsOf: ( $i * $i ) > $o ).
tff(god,type,
god: $i > $o ).
tff(existsOnlyByNecessityOfOwnNature,type,
existsOnlyByNecessityOfOwnNature: $i > $o ).
tff(correspondWith,type,
correspondWith: ( $i * $i ) > $o ).
tff(essenceInvExistence,type,
essenceInvExistence: $i > $o ).
tff(ideateOf,type,
ideateOf: ( $i * $i ) > $o ).
tff(mode,type,
mode: $i > $o ).
tff(haveNothingInCommon,type,
haveNothingInCommon: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(effectNecessarilyFollowsFrom,type,
effectNecessarilyFollowsFrom: ( $i * $i ) > $o ).
tff(actionOf,type,
actionOf: ( $i * $i ) > $o ).
tff(isMethodExistence,type,
isMethodExistence: $i > $o ).
tff(determinedByDefiniteMethod,type,
determinedByDefiniteMethod: ( $i * $i ) > $o ).
tff(expressesInfiniteEssentiality,type,
expressesInfiniteEssentiality: $i > $o ).
tff(modification,type,
modification: ( $i * $i ) > $o ).
tff(eternity,type,
eternity: $i > $o ).
tff(determinedByFixedMethod,type,
determinedByFixedMethod: ( $i * $i ) > $o ).
tff(selfCaused,type,
selfCaused: $i > $o ).
tff(hasEssence,type,
hasEssence: $i > $o ).
tff(determinedByItselfAlone,type,
determinedByItselfAlone: ( $i * $i ) > $o ).
tff(inItself,type,
inItself: $i > $o ).
tff(objectOf,type,
objectOf: ( $i * $i ) > $o ).
tff(canBeConceivedAsNonExisting,type,
canBeConceivedAsNonExisting: $i > $o ).
tff(conceivedThru,type,
conceivedThru: ( $i * $i ) > $o ).
tff(absolutelyInfinite,type,
absolutelyInfinite: $i > $o ).
tff(conceivedThruItself,type,
conceivedThruItself: $i > $o ).
tff(canBeLimitedBy,type,
canBeLimitedBy: ( $i * $i ) > $o ).
tff(conceptionInvolves,type,
conceptionInvolves: ( $i * $i ) > $o ).
tff(natureConcOnlyByExistence,type,
natureConcOnlyByExistence: $i > $o ).
tff(knowledgeOfEffect,type,
knowledgeOfEffect: ( $i * $i ) > $o ).
tff(exists,type,
exists: $i > $o ).
tff(constInInfAttributes,type,
constInInfAttributes: $i > $o ).
tff(existConcFollowFromDefEternal,type,
existConcFollowFromDefEternal: $i > $o ).
tff(expressesEternalEssentiality,type,
expressesEternalEssentiality: $i > $o ).
tff(sameKind,type,
sameKind: ( $i * $i ) > $o ).
tff(f_268,negated_conjecture,
~ ! [X] :
( god(X)
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',if_god_then_exists) ).
tff(f_101,axiom,
! [X] :
( god(X)
<=> ( being(X)
& absolutelyInfinite(X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',god) ).
tff(f_116,axiom,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( substance(X)
& constInInfAttributes(X)
& ( attributeOf(Y,X)
=> ( expressesEternalEssentiality(Y)
& expressesInfiniteEssentiality(Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',absolutely_infinite) ).
tff(f_75,axiom,
! [X] :
( substance(X)
<=> ( inItself(X)
& conceivedThruItself(X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',substance) ).
tff(f_253,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
tff(f_59,axiom,
! [X] :
( selfCaused(X)
<=> ( essenceInvExistence(X)
& natureConcOnlyByExistence(X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',self_caused) ).
tff(f_257,axiom,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',being_has_essense) ).
tff(f_263,axiom,
! [X] :
( ( essenceInvExistence(X)
& hasEssence(X) )
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
tff(c_120,plain,
god('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_159,plain,
! [X_46] :
( absolutelyInfinite(X_46)
| ~ god(X_46) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_163,plain,
absolutelyInfinite('#skF_1'),
inference(resolution,[status(thm)],[c_120,c_159]) ).
tff(c_44,plain,
! [X_10] :
( substance(X_10)
| ~ absolutelyInfinite(X_10) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_148,plain,
! [X_43] :
( inItself(X_43)
| ~ substance(X_43) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_174,plain,
! [X_53] :
( inItself(X_53)
| ~ absolutelyInfinite(X_53) ),
inference(resolution,[status(thm)],[c_44,c_148]) ).
tff(c_139,plain,
! [X_42] :
( selfCaused(X_42)
| ~ inItself(X_42) ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_6,plain,
! [X_1] :
( essenceInvExistence(X_1)
| ~ selfCaused(X_1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_146,plain,
! [X_42] :
( essenceInvExistence(X_42)
| ~ inItself(X_42) ),
inference(resolution,[status(thm)],[c_139,c_6]) ).
tff(c_178,plain,
! [X_53] :
( essenceInvExistence(X_53)
| ~ absolutelyInfinite(X_53) ),
inference(resolution,[status(thm)],[c_174,c_146]) ).
tff(c_134,plain,
! [X_41] :
( being(X_41)
| ~ god(X_41) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_138,plain,
being('#skF_1'),
inference(resolution,[status(thm)],[c_120,c_134]) ).
tff(c_114,plain,
! [X_31] :
( hasEssence(X_31)
| ~ being(X_31) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_225,plain,
! [X_84] :
( exists(X_84)
| ~ hasEssence(X_84)
| ~ essenceInvExistence(X_84) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_242,plain,
! [X_89] :
( exists(X_89)
| ~ essenceInvExistence(X_89)
| ~ being(X_89) ),
inference(resolution,[status(thm)],[c_114,c_225]) ).
tff(c_118,plain,
~ exists('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_245,plain,
( ~ essenceInvExistence('#skF_1')
| ~ being('#skF_1') ),
inference(resolution,[status(thm)],[c_242,c_118]) ).
tff(c_248,plain,
~ essenceInvExistence('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_245]) ).
tff(c_251,plain,
~ absolutelyInfinite('#skF_1'),
inference(resolution,[status(thm)],[c_178,c_248]) ).
tff(c_255,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_163,c_251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : PHI023+1 : TPTP v9.0.0. Released v7.4.0.
% 0.05/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.37 % Computer : n009.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Tue Apr 8 16:28:56 EDT 2025
% 0.13/0.37 % CPUTime :
% 4.18/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.52/2.54
% 4.52/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------