%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 01:58:05 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 139 ( 49 ~; 45 |; 34 &)
% ( 5 <=>; 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 : 40 ( 39 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( selfCaused(X)
<=> ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( substance(X)
<=> ( conceivedThruItself(X)
& inItself(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( god(X)
<=> ( absolutelyInfinite(X)
& being(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( ( attributeOf(Y,X)
=> ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) ) )
& constInInfAttributes(X)
& substance(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( ( hasEssence(X)
& essenceInvExistence(X) )
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
! [X] :
( god(X)
=> exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ! [X] :
( god(X)
=> exists(X) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X] :
( ( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( ! [X] :
( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ! [X] :
( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f33,plain,
! [X] :
( ( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
( ! [X] :
( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ! [X] :
( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
! [X0] :
( inItself(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f50,plain,
! [X] :
( ( ~ absolutelyInfinite(X)
| ~ being(X)
| god(X) )
& ( ( absolutelyInfinite(X)
& being(X) )
| ~ god(X) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f51,plain,
( ! [X] :
( ~ absolutelyInfinite(X)
| ~ being(X)
| god(X) )
& ! [X] :
( ( absolutelyInfinite(X)
& being(X) )
| ~ god(X) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0] :
( being(X0)
| ~ god(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0] :
( absolutelyInfinite(X0)
| ~ god(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f55,plain,
! [X,Y] :
( absolutelyInfinite(X)
<=> ( ( ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) )
| ~ attributeOf(Y,X) )
& constInInfAttributes(X)
& substance(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f56,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)],[f55]) ).
fof(f57,plain,
( ! [X] :
( ( ! [Y] :
( ~ expressesInfiniteEssentiality(Y)
| ~ expressesEternalEssentiality(Y) )
& ! [Y] : attributeOf(Y,X) )
| ~ constInInfAttributes(X)
| ~ substance(X)
| absolutelyInfinite(X) )
& ! [X] :
( ( ! [Y] :
( ( expressesInfiniteEssentiality(Y)
& expressesEternalEssentiality(Y) )
| ~ attributeOf(Y,X) )
& constInInfAttributes(X)
& substance(X) )
| ~ absolutelyInfinite(X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f58,plain,
! [X0] :
( substance(X0)
| ~ absolutelyInfinite(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f112,plain,
! [X] :
( selfCaused(X)
| ~ inItself(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f113,plain,
! [X0] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X] :
( hasEssence(X)
| ~ being(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f115,plain,
! [X0] :
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X] :
( exists(X)
| ~ hasEssence(X)
| ~ essenceInvExistence(X) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f117,plain,
! [X0] :
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
? [X] :
( ~ exists(X)
& god(X) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f119,plain,
( ~ exists(sK0_skl)
& god(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f118]) ).
fof(f120,plain,
god(sK0_skl),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
~ exists(sK0_skl),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f124,plain,
absolutelyInfinite(sK0_skl),
inference(resolution,[status(thm)],[f53,f120]) ).
fof(f125,plain,
being(sK0_skl),
inference(resolution,[status(thm)],[f52,f120]) ).
fof(f126,plain,
substance(sK0_skl),
inference(resolution,[status(thm)],[f58,f124]) ).
fof(f128,plain,
inItself(sK0_skl),
inference(resolution,[status(thm)],[f126,f35]) ).
fof(f135,plain,
selfCaused(sK0_skl),
inference(resolution,[status(thm)],[f113,f128]) ).
fof(f137,plain,
essenceInvExistence(sK0_skl),
inference(resolution,[status(thm)],[f135,f25]) ).
fof(f139,plain,
hasEssence(sK0_skl),
inference(resolution,[status(thm)],[f115,f125]) ).
fof(f140,plain,
( exists(sK0_skl)
| ~ essenceInvExistence(sK0_skl) ),
inference(resolution,[status(thm)],[f117,f139]) ).
fof(f141,plain,
exists(sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f140,f137]) ).
fof(f142,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f141,f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:35:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.045611 seconds
% 0.10/0.43 % CPU time: 0.126427 seconds
% 0.10/0.43 % Total memory used: 61.293 MB
% 0.10/0.43 % Net memory used: 61.260 MB
%------------------------------------------------------------------------------