%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 08:19:39 AM UTC 2026
% Result : Theorem 12.57s 3.30s
% Output : CNFRefutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 11 ~; 8 |; 3 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 14 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(has_substance_being,axiom,
! [X0] :
( substance(X0)
=> being(X0) ) ).
fof(is_in_itself_is_self_caused,axiom,
! [X0] :
( inItself(X0)
=> selfCaused(X0) ) ).
fof(being_has_essense,axiom,
! [X0] :
( being(X0)
=> hasEssence(X0) ) ).
fof(essence_involves_existence_exists,axiom,
! [X0] :
( ( hasEssence(X0)
& essenceInvExistence(X0) )
=> exists(X0) ) ).
fof(self_caused,axiom,
! [X0] :
( selfCaused(X0)
<=> ( natureConcOnlyByExistence(X0)
& essenceInvExistence(X0) ) ) ).
fof(substance,axiom,
! [X0] :
( substance(X0)
<=> ( conceivedThruItself(X0)
& inItself(X0) ) ) ).
fof(has_substance_exists,conjecture,
! [X0] :
( substance(X0)
=> exists(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( substance(X0)
=> exists(X0) ),
inference(negate_conjecture,[status(cth)],[has_substance_exists]) ).
cnf(c0,plain,
( being(X0)
| ~ substance(X0) ),
inference(clausification,[status(esa)],[has_substance_being]) ).
cnf(c1,plain,
( selfCaused(X0)
| ~ inItself(X0) ),
inference(clausification,[status(esa)],[is_in_itself_is_self_caused]) ).
cnf(c2,plain,
( hasEssence(X0)
| ~ being(X0) ),
inference(clausification,[status(esa)],[being_has_essense]) ).
cnf(c3,plain,
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(clausification,[status(esa)],[essence_involves_existence_exists]) ).
cnf(c4,plain,
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(clausification,[status(esa)],[self_caused]) ).
cnf(c10,plain,
( inItself(X0)
| ~ substance(X0) ),
inference(clausification,[status(esa)],[substance]) ).
cnf(c65,plain,
substance(sK36),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
~ exists(sK36),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
inItself(sK36),
inference(resolution,[status(thm)],[c10,c65]) ).
cnf(d1,plain,
selfCaused(sK36),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
essenceInvExistence(sK36),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( exists(sK36)
| ~ hasEssence(sK36) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
~ hasEssence(sK36),
inference(resolution,[status(thm)],[c66,d3]) ).
cnf(d5,plain,
being(sK36),
inference(resolution,[status(thm)],[c0,c65]) ).
cnf(d6,plain,
hasEssence(sK36),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 04:40:09 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.57/3.30 % SZS status Theorem for theBenchmark.p
% 12.57/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------