%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 32 |; 13 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 ( 29 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( selfCaused(X)
<=> ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( substance(X)
<=> ( conceivedThruItself(X)
& inItself(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( substance(X)
=> being(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( inItself(X)
=> selfCaused(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( being(X)
=> hasEssence(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] :
( ( hasEssence(X)
& essenceInvExistence(X) )
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,conjecture,
! [X] :
( substance(X)
=> exists(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ ! [X] :
( substance(X)
=> exists(X) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
! [X] :
( ( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( ! [X] :
( ~ natureConcOnlyByExistence(X)
| ~ essenceInvExistence(X)
| selfCaused(X) )
& ! [X] :
( ( natureConcOnlyByExistence(X)
& essenceInvExistence(X) )
| ~ selfCaused(X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0] :
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f34,plain,
! [X] :
( ( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
( ! [X] :
( ~ conceivedThruItself(X)
| ~ inItself(X)
| substance(X) )
& ! [X] :
( ( conceivedThruItself(X)
& inItself(X) )
| ~ substance(X) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( inItself(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f113,plain,
! [X] :
( being(X)
| ~ substance(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f114,plain,
! [X0] :
( being(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X] :
( selfCaused(X)
| ~ inItself(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f116,plain,
! [X0] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X] :
( hasEssence(X)
| ~ being(X) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f118,plain,
! [X0] :
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X] :
( exists(X)
| ~ hasEssence(X)
| ~ essenceInvExistence(X) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f120,plain,
! [X0] :
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
? [X] :
( ~ exists(X)
& substance(X) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f122,plain,
( ~ exists(sK0_skl)
& substance(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f121]) ).
fof(f123,plain,
substance(sK0_skl),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
~ exists(sK0_skl),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f167,plain,
! [X0] :
( selfCaused(X0)
| ~ substance(X0) ),
inference(resolution,[status(thm)],[f36,f116]) ).
fof(f169,plain,
! [X0] :
( ~ being(X0)
| exists(X0)
| ~ essenceInvExistence(X0) ),
inference(resolution,[status(thm)],[f120,f118]) ).
fof(f172,plain,
! [X0] :
( ~ substance(X0)
| exists(X0)
| ~ essenceInvExistence(X0) ),
inference(resolution,[status(thm)],[f169,f114]) ).
fof(f173,plain,
! [X0] :
( ~ selfCaused(X0)
| ~ substance(X0)
| exists(X0) ),
inference(resolution,[status(thm)],[f172,f26]) ).
fof(f174,plain,
! [X0] :
( ~ substance(X0)
| exists(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f167]) ).
fof(f175,plain,
~ substance(sK0_skl),
inference(resolution,[status(thm)],[f174,f124]) ).
fof(f177,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f175,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:30:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.033354 seconds
% 0.13/0.40 % CPU time: 0.073116 seconds
% 0.13/0.40 % Total memory used: 7.716 MB
% 0.13/0.40 % Net memory used: 7.713 MB
%------------------------------------------------------------------------------