TSTP Solution File: PHI022+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PHI022+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 : Tue Aug 22 10:53:32 EDT 2023
% Result : Theorem 3.89s 1.96s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 56
% Syntax : Number of formulae : 71 ( 6 unt; 49 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 11 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 48 >; 19 *; 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 : 15 (; 15 !; 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_272,negated_conjecture,
~ ! [X] :
( substance(X)
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',has_substance_exists) ).
tff(f_253,axiom,
! [X] :
( substance(X)
=> being(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',has_substance_being) ).
tff(f_75,axiom,
! [X] :
( substance(X)
<=> ( inItself(X)
& conceivedThruItself(X) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PHI002+0.ax',substance) ).
tff(f_257,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
tff(f_59,axiom,
! [X] :
( selfCaused(X)
<=> ( essenceInvExistence(X)
& natureConcOnlyByExistence(X) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PHI002+0.ax',self_caused) ).
tff(f_261,axiom,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',being_has_essense) ).
tff(f_267,axiom,
! [X] :
( ( essenceInvExistence(X)
& hasEssence(X) )
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
tff(c_122,plain,
substance('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_173,plain,
! [X_51] :
( being(X_51)
| ~ substance(X_51) ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_181,plain,
being('#skF_1'),
inference(resolution,[status(thm)],[c_122,c_173]) ).
tff(c_153,plain,
! [X_47] :
( inItself(X_47)
| ~ substance(X_47) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_161,plain,
inItself('#skF_1'),
inference(resolution,[status(thm)],[c_122,c_153]) ).
tff(c_133,plain,
! [X_43] :
( selfCaused(X_43)
| ~ inItself(X_43) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_6,plain,
! [X_1] :
( essenceInvExistence(X_1)
| ~ selfCaused(X_1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_183,plain,
! [X_53] :
( essenceInvExistence(X_53)
| ~ inItself(X_53) ),
inference(resolution,[status(thm)],[c_133,c_6]) ).
tff(c_191,plain,
essenceInvExistence('#skF_1'),
inference(resolution,[status(thm)],[c_161,c_183]) ).
tff(c_116,plain,
! [X_32] :
( hasEssence(X_32)
| ~ being(X_32) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_245,plain,
! [X_84] :
( exists(X_84)
| ~ hasEssence(X_84)
| ~ essenceInvExistence(X_84) ),
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_266,plain,
! [X_92] :
( exists(X_92)
| ~ essenceInvExistence(X_92)
| ~ being(X_92) ),
inference(resolution,[status(thm)],[c_116,c_245]) ).
tff(c_120,plain,
~ exists('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_269,plain,
( ~ essenceInvExistence('#skF_1')
| ~ being('#skF_1') ),
inference(resolution,[status(thm)],[c_266,c_120]) ).
tff(c_273,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_191,c_269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PHI022+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 18:52:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.89/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/1.96
% 3.89/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.89/1.99
% 3.89/1.99 Inference rules
% 3.89/1.99 ----------------------
% 3.89/1.99 #Ref : 0
% 3.89/1.99 #Sup : 25
% 3.89/1.99 #Fact : 0
% 3.89/1.99 #Define : 0
% 3.89/1.99 #Split : 1
% 3.89/1.99 #Chain : 0
% 3.89/1.99 #Close : 0
% 3.89/1.99
% 3.89/1.99 Ordering : KBO
% 3.89/1.99
% 3.89/1.99 Simplification rules
% 3.89/1.99 ----------------------
% 3.89/1.99 #Subsume : 5
% 3.89/1.99 #Demod : 3
% 3.89/1.99 #Tautology : 11
% 3.89/1.99 #SimpNegUnit : 0
% 3.89/1.99 #BackRed : 0
% 3.89/1.99
% 3.89/1.99 #Partial instantiations: 0
% 3.89/1.99 #Strategies tried : 1
% 3.89/1.99
% 3.89/1.99 Timing (in seconds)
% 3.89/1.99 ----------------------
% 3.89/1.99 Preprocessing : 0.58
% 3.89/1.99 Parsing : 0.30
% 3.89/1.99 CNF conversion : 0.05
% 3.89/1.99 Main loop : 0.33
% 3.89/1.99 Inferencing : 0.11
% 3.89/1.99 Reduction : 0.08
% 3.89/1.99 Demodulation : 0.06
% 3.89/1.99 BG Simplification : 0.03
% 3.89/1.99 Subsumption : 0.08
% 3.89/1.99 Abstraction : 0.01
% 3.89/1.99 MUC search : 0.00
% 3.89/1.99 Cooper : 0.00
% 3.89/1.99 Total : 0.96
% 3.89/1.99 Index Insertion : 0.00
% 3.89/1.99 Index Deletion : 0.00
% 3.89/1.99 Index Matching : 0.00
% 3.89/1.99 BG Taut test : 0.00
%------------------------------------------------------------------------------