%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 : Fri Sep 25 02:30:19 PM UTC 2026
% Result : Theorem 4.64s 6.09s
% Output : Proof 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 141 ( 52 ~; 48 |; 31 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X] :
( ( hasEssence(X)
& essenceInvExistence(X) )
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
fof(f19_nnf,plain,
! [X] :
( exists(X)
| ~ hasEssence(X)
| ~ essenceInvExistence(X) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X] :
( exists(X)
| ~ hasEssence(X)
| ~ essenceInvExistence(X) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c57,plain,
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f17,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
fof(f17_nnf,plain,
! [X] :
( selfCaused(X)
| ~ inItself(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] :
( selfCaused(X)
| ~ inItself(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c55,plain,
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f6,axiom,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( ( attributeOf(Y,X)
=> ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) ) )
& constInInfAttributes(X)
& substance(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absolutely_infinite) ).
fof(f6_nnf,plain,
! [X,Y] :
( ( ( ( ~ expressesInfiniteEssentiality(Y)
| ~ expressesEternalEssentiality(Y) )
& attributeOf(Y,X) )
| ~ constInInfAttributes(X)
| ~ substance(X)
| absolutelyInfinite(X) )
& ( ( ( ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) )
| ~ attributeOf(Y,X) )
& constInInfAttributes(X)
& substance(X) )
| ~ absolutelyInfinite(X) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ( ( ( ~ expressesInfiniteEssentiality(Y)
| ~ expressesEternalEssentiality(Y) )
& attributeOf(Y,X) )
| ~ constInInfAttributes(X)
| ~ substance(X)
| absolutelyInfinite(X) )
& ( ( ( ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) )
| ~ attributeOf(Y,X) )
& constInInfAttributes(X)
& substance(X) )
| ~ absolutelyInfinite(X) ) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c20,plain,
( substance(X0)
| ~ absolutelyInfinite(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f5,axiom,
! [X] :
( god(X)
<=> ( absolutelyInfinite(X)
& being(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god) ).
fof(f5_nnf,plain,
! [X] :
( ( ~ absolutelyInfinite(X)
| ~ being(X)
| god(X) )
& ( ( absolutelyInfinite(X)
& being(X) )
| ~ god(X) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ( ~ absolutelyInfinite(X)
| ~ being(X)
| god(X) )
& ( ( absolutelyInfinite(X)
& being(X) )
| ~ god(X) ) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c18,plain,
( absolutelyInfinite(X0)
| ~ god(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f20,conjecture,
! [X] :
( god(X)
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',if_god_then_exists) ).
fof(f20_neg,negated_conjecture,
~ ! [X] :
( god(X)
=> exists(X) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f20_nnf,plain,
? [X] :
( ~ exists(X)
& god(X) ),
inference(nnf_transformation,[status(thm)],[f20_neg]) ).
fof(f20_sk,plain,
( ~ exists(sk0)
& god(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f20_nnf]) ).
cnf(c58,plain,
god(sk0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p61,plain,
absolutelyInfinite(sk0),
inference(resolution,[status(thm)],[c18,c58]) ).
cnf(p62,plain,
substance(sk0),
inference(resolution,[status(thm)],[c20,p61]) ).
fof(f2,axiom,
! [X] :
( substance(X)
<=> ( conceivedThruItself(X)
& inItself(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substance) ).
fof(f2_nnf,plain,
! [X] :
( ( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( ( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( inItself(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p63,plain,
inItself(sk0),
inference(resolution,[status(thm)],[p62,c6]) ).
cnf(p66,plain,
selfCaused(sk0),
inference(resolution,[status(thm)],[c55,p63]) ).
fof(f0,axiom,
! [X] :
( selfCaused(X)
<=> ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_caused) ).
fof(f0_nnf,plain,
! [X] :
( ( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p67,plain,
essenceInvExistence(sk0),
inference(resolution,[status(thm)],[p66,c0]) ).
cnf(p71,plain,
( exists(sk0)
| ~ hasEssence(sk0) ),
inference(resolution,[status(thm)],[c57,p67]) ).
fof(f18,axiom,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',being_has_essense) ).
fof(f18_nnf,plain,
! [X] :
( hasEssence(X)
| ~ being(X) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X] :
( hasEssence(X)
| ~ being(X) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c56,plain,
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(c17,plain,
( being(X0)
| ~ god(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p60,plain,
being(sk0),
inference(resolution,[status(thm)],[c17,c58]) ).
cnf(p69,plain,
hasEssence(sk0),
inference(resolution,[status(thm)],[c56,p60]) ).
cnf(p72,plain,
exists(sk0),
inference(resolution,[status(thm)],[p71,p69]) ).
cnf(c59,plain,
~ exists(sk0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p73,plain,
$false,
inference(resolution,[status(thm)],[p72,c59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n013.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 06:05:57 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.64/6.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.64/6.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------