%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 08:50:54 AM UTC 2026
% Result : Theorem 10.68s 7.87s
% Output : CNFRefutation 10.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 5 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 18 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X0,X1] :
( iext('uri$urdf$utype',X0,X1)
<=> icext(X1,X0) ) ).
fof(rdfs_domain_main,axiom,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext('uri$urdfs$udomain',X0,X1) )
=> icext(X1,X2) ) ).
fof(owl_eqdis_sameas,axiom,
! [X0,X1] :
( iext('uri$uowl$usameAs',X0,X1)
<=> X0 = X1 ) ).
fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
( iext('uri$uowl$usameAs','uri$uex$uw','uri$uex$uu')
& iext('uri$urdfs$udomain','uri$uowl$usameAs','uri$uex$uPerson') ) ).
fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
iext('uri$urdf$utype','uri$uex$uu','uri$uex$uPerson') ).
fof(negated_conjecture,negated_conjecture,
~ iext('uri$urdf$utype','uri$uex$uu','uri$uex$uPerson'),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(c1,plain,
( ~ icext(X1,X0)
| iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c2,plain,
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext('uri$urdfs$udomain',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_domain_main]) ).
cnf(c3,plain,
( X0 = X1
| ~ iext('uri$uowl$usameAs',X0,X1) ),
inference(clausification,[status(esa)],[owl_eqdis_sameas]) ).
cnf(c5,plain,
iext('uri$urdfs$udomain','uri$uowl$usameAs','uri$uex$uPerson'),
inference(clausification,[status(esa)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(c6,plain,
iext('uri$uowl$usameAs','uri$uex$uw','uri$uex$uu'),
inference(clausification,[status(esa)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(c7,plain,
~ iext('uri$urdf$utype','uri$uex$uu','uri$uex$uPerson'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'uri$uex$uw' = 'uri$uex$uu',
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(d1,plain,
iext('uri$uowl$usameAs','uri$uex$uu','uri$uex$uu'),
inference(demodulation,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( icext('uri$uex$uPerson',X0)
| ~ iext('uri$uowl$usameAs',X0,X1) ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(d3,plain,
icext('uri$uex$uPerson','uri$uex$uu'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ icext('uri$uex$uPerson','uri$uex$uu'),
inference(resolution,[status(thm)],[c1,c7]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n019.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Sat Sep 26 11:46:55 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.68/7.87 % SZS status Theorem for theBenchmark.p
% 10.68/7.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------