%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:50:50 AM UTC 2026
% Result : Theorem 9.72s 6.64s
% Output : CNFRefutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 26 ~; 19 |; 9 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X0,X1] :
( iext('uri$urdf$utype',X0,X1)
<=> icext(X1,X0) ) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X0,X1,X2] :
( ( iext('uri$uowl$uonProperty',X0,X1)
& iext('uri$uowl$usomeValuesFrom',X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [X0] :
( iext('uri$uowl$usomeValuesFrom',X0,'uri$uex$uc')
& iext('uri$uowl$uonProperty',X0,'uri$uex$up')
& iext('uri$urdf$utype',X0,'uri$uowl$uRestriction')
& iext('uri$urdf$utype','uri$uex$us',X0)
& iext('uri$urdf$utype','uri$uex$uc','uri$uowl$uClass')
& iext('uri$urdf$utype','uri$uex$up','uri$uowl$uObjectProperty') ) ).
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [X0] :
( iext('uri$urdf$utype',X0,'uri$uex$uc')
& iext('uri$uex$up','uri$uex$us',X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( iext('uri$urdf$utype',X0,'uri$uex$uc')
& iext('uri$uex$up','uri$uex$us',X0) ),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c1,plain,
( ~ icext(X1,X0)
| iext('uri$urdf$utype',X0,X1) ),
inference(clausification,[status(esa)],[rdfs_cext_def]) ).
cnf(c2,plain,
( iext(X2,X3,sK6(X2,X1,X3))
| ~ icext(X0,X3)
| ~ iext('uri$uowl$uonProperty',X0,X2)
| ~ iext('uri$uowl$usomeValuesFrom',X0,X1) ),
inference(clausification,[status(esa)],[owl_restrict_somevaluesfrom]) ).
cnf(c3,plain,
( icext(X1,sK6(X2,X1,X3))
| ~ icext(X0,X3)
| ~ iext('uri$uowl$uonProperty',X0,X2)
| ~ iext('uri$uowl$usomeValuesFrom',X0,X1) ),
inference(clausification,[status(esa)],[owl_restrict_somevaluesfrom]) ).
cnf(c7,plain,
iext('uri$urdf$utype','uri$uex$us',sK8),
inference(clausification,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c9,plain,
iext('uri$uowl$uonProperty',sK8,'uri$uex$up'),
inference(clausification,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c10,plain,
iext('uri$uowl$usomeValuesFrom',sK8,'uri$uex$uc'),
inference(clausification,[status(esa)],[testcase_premise_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c11,plain,
( ~ iext('uri$urdf$utype',X0,'uri$uex$uc')
| ~ iext('uri$uex$up','uri$uex$us',X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ icext(sK8,X1)
| icext(X0,sK6('uri$uex$up',X0,X1))
| ~ iext('uri$uowl$usomeValuesFrom',sK8,X0) ),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(d1,plain,
( ~ icext(sK8,X0)
| ~ iext('uri$uowl$usomeValuesFrom',sK8,X1)
| iext('uri$uex$up',X0,sK6('uri$uex$up',X1,X0)) ),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(d2,plain,
( ~ iext('uri$urdf$utype',sK6('uri$uex$up',X0,'uri$uex$us'),'uri$uex$uc')
| ~ icext(sK8,'uri$uex$us')
| ~ iext('uri$uowl$usomeValuesFrom',sK8,X0) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
icext(sK8,'uri$uex$us'),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d4,plain,
( ~ iext('uri$uowl$usomeValuesFrom',sK8,X0)
| ~ iext('uri$urdf$utype',sK6('uri$uex$up',X0,'uri$uex$us'),'uri$uex$uc') ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ icext('uri$uex$uc',sK6('uri$uex$up',X0,'uri$uex$us'))
| ~ iext('uri$uowl$usomeValuesFrom',sK8,X0) ),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
( ~ icext(sK8,'uri$uex$us')
| ~ iext('uri$uowl$usomeValuesFrom',sK8,'uri$uex$uc')
| ~ iext('uri$uowl$usomeValuesFrom',sK8,'uri$uex$uc') ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
~ iext('uri$uowl$usomeValuesFrom',sK8,'uri$uex$uc'),
inference(resolution,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n003.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Sat Sep 26 11:44:00 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.72/6.64 % SZS status Theorem for theBenchmark.p
% 9.72/6.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------