%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWB028+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 : n018.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 08:50:58 AM UTC 2026
% Result : Theorem 28.95s 4.48s
% Output : CNFRefutation 28.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 22 unt; 0 def)
% Number of atoms : 141 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 48 ~; 50 |; 17 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-3 aty)
% Number of variables : 71 ( 2 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_class_inversefunctionalproperty_type,axiom,
ic('uri$uowl$uInverseFunctionalProperty') ).
fof(owl_prop_inverseof_ext,axiom,
! [X0,X1] :
( iext('uri$uowl$uinverseOf',X0,X1)
=> ( ip(X1)
& ip(X0) ) ) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X0,X1] :
( iext('uri$uowl$uequivalentClass',X0,X1)
=> ( ic(X1)
& ic(X0) ) ) ).
fof(owl_char_functional,axiom,
! [X0] :
( icext('uri$uowl$uFunctionalProperty',X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X1,X2) )
=> X2 = X3 )
& ip(X0) ) ) ).
fof(owl_char_inversefunctional,axiom,
! [X0] :
( icext('uri$uowl$uInverseFunctionalProperty',X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ) ).
fof(owl_rdfsext_subclassof,axiom,
! [X0,X1] :
( iext('uri$urdfs$usubClassOf',X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X0,X1] :
( iext('uri$uowl$uequivalentClass',X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(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(owl_inv,axiom,
! [X0,X1] :
( iext('uri$uowl$uinverseOf',X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ) ).
fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
? [X0] :
( iext('uri$uowl$usomeValuesFrom',X0,'uri$uowl$uFunctionalProperty')
& iext('uri$uowl$uonProperty',X0,'uri$uowl$uinverseOf')
& iext('uri$urdf$utype',X0,'uri$uowl$uRestriction')
& iext('uri$uowl$uequivalentClass','uri$uex$uInversesOfFunctionalProperties',X0) ) ).
fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty') ).
fof(negated_conjecture,negated_conjecture,
~ iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c0,plain,
ic('uri$uowl$uInverseFunctionalProperty'),
inference(clausification,[status(esa)],[owl_class_inversefunctionalproperty_type]) ).
cnf(c1,plain,
( ip(X0)
| ~ iext('uri$uowl$uinverseOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_prop_inverseof_ext]) ).
cnf(c3,plain,
( ic(X0)
| ~ iext('uri$uowl$uequivalentClass',X0,X1) ),
inference(clausification,[status(esa)],[owl_prop_equivalentclass_ext]) ).
cnf(c6,plain,
( X2 = X3
| ~ iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ icext('uri$uowl$uFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_functional]) ).
cnf(c12,plain,
( ~ ip(X0)
| iext(X0,sK16(X0),sK17(X0))
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c13,plain,
( ~ ip(X0)
| iext(X0,sK15(X0),sK17(X0))
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c14,plain,
( ~ ip(X0)
| sK16(X0) != sK15(X0)
| icext('uri$uowl$uInverseFunctionalProperty',X0) ),
inference(clausification,[status(esa)],[owl_char_inversefunctional]) ).
cnf(c18,plain,
( ~ ic(X0)
| icext(X0,sK21(X0,X1))
| ~ ic(X1)
| iext('uri$urdfs$usubClassOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_rdfsext_subclassof]) ).
cnf(c19,plain,
( ~ ic(X0)
| ~ icext(X1,sK21(X0,X1))
| ~ ic(X1)
| iext('uri$urdfs$usubClassOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_rdfsext_subclassof]) ).
cnf(c21,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext('uri$uowl$uequivalentClass',X0,X1) ),
inference(clausification,[status(esa)],[owl_eqdis_equivalentclass]) ).
cnf(c28,plain,
( iext(X1,X3,sK30(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext('uri$uowl$usomeValuesFrom',X0,X2)
| ~ iext('uri$uowl$uonProperty',X0,X1) ),
inference(clausification,[status(esa)],[owl_restrict_somevaluesfrom]) ).
cnf(c29,plain,
( icext(X2,sK30(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext('uri$uowl$usomeValuesFrom',X0,X2)
| ~ iext('uri$uowl$uonProperty',X0,X1) ),
inference(clausification,[status(esa)],[owl_restrict_somevaluesfrom]) ).
cnf(c32,plain,
( iext(X1,X3,X2)
| ~ iext(X0,X2,X3)
| ~ iext('uri$uowl$uinverseOf',X0,X1) ),
inference(clausification,[status(esa)],[owl_inv]) ).
cnf(c39,plain,
iext('uri$uowl$uequivalentClass','uri$uex$uInversesOfFunctionalProperties',sK38),
inference(clausification,[status(esa)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c40,plain,
iext('uri$uowl$uonProperty',sK38,'uri$uowl$uinverseOf'),
inference(clausification,[status(esa)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c41,plain,
iext('uri$uowl$usomeValuesFrom',sK38,'uri$uowl$uFunctionalProperty'),
inference(clausification,[status(esa)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c43,plain,
~ iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ icext('uri$uex$uInversesOfFunctionalProperties',X0)
| icext(sK38,X0) ),
inference(resolution,[status(thm)],[c21,c39]) ).
cnf(d1,plain,
ic('uri$uex$uInversesOfFunctionalProperties'),
inference(resolution,[status(thm)],[c3,c39]) ).
cnf(d2,plain,
( icext('uri$uex$uInversesOfFunctionalProperties',sK21('uri$uex$uInversesOfFunctionalProperties',X0))
| iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties',X0)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[c18,d1]) ).
cnf(d3,plain,
( icext('uri$uex$uInversesOfFunctionalProperties',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty') ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
icext('uri$uex$uInversesOfFunctionalProperties',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[c43,d3]) ).
cnf(d5,plain,
icext(sK38,sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ icext(sK38,X1)
| ~ iext('uri$uowl$uonProperty',sK38,X0)
| iext(X0,X1,sK30(X0,'uri$uowl$uFunctionalProperty',X1)) ),
inference(resolution,[status(thm)],[c28,c41]) ).
cnf(d7,plain,
( ~ icext(sK38,X0)
| iext('uri$uowl$uinverseOf',X0,sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',X0)) ),
inference(resolution,[status(thm)],[d6,c40]) ).
cnf(d8,plain,
iext('uri$uowl$uinverseOf',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
ip(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
( icext('uri$uowl$uInverseFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| iext(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))) ),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
( ~ icext(X0,sK21('uri$uex$uInversesOfFunctionalProperties',X0))
| iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties',X0)
| ~ ic(X0) ),
inference(resolution,[status(thm)],[c19,d1]) ).
cnf(d12,plain,
( ~ icext('uri$uowl$uInverseFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| iext('uri$urdfs$usubClassOf','uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty') ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
~ icext('uri$uowl$uInverseFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[c43,d12]) ).
cnf(d14,plain,
iext(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
( ~ iext('uri$uowl$uinverseOf',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),X0)
| iext(X0,sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))) ),
inference(resolution,[status(thm)],[d14,c32]) ).
cnf(d16,plain,
iext(sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
( icext('uri$uowl$uInverseFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| iext(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))) ),
inference(resolution,[status(thm)],[d9,c13]) ).
cnf(d18,plain,
iext(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d13,d17]) ).
cnf(d19,plain,
( ~ iext('uri$uowl$uinverseOf',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'),X0)
| iext(X0,sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))) ),
inference(resolution,[status(thm)],[d18,c32]) ).
cnf(d20,plain,
iext(sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
( ~ icext('uri$uowl$uFunctionalProperty',sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')))
| ~ iext(sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),X0)
| sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) = X0 ),
inference(resolution,[status(thm)],[d20,c6]) ).
cnf(d22,plain,
( ~ icext(sK38,X1)
| icext('uri$uowl$uFunctionalProperty',sK30(X0,'uri$uowl$uFunctionalProperty',X1))
| ~ iext('uri$uowl$uonProperty',sK38,X0) ),
inference(resolution,[status(thm)],[c29,c41]) ).
cnf(d23,plain,
( ~ icext(sK38,X0)
| icext('uri$uowl$uFunctionalProperty',sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',X0)) ),
inference(resolution,[status(thm)],[d22,c40]) ).
cnf(d24,plain,
icext('uri$uowl$uFunctionalProperty',sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))),
inference(resolution,[status(thm)],[d23,d5]) ).
cnf(d25,plain,
( ~ iext(sK30('uri$uowl$uinverseOf','uri$uowl$uFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),sK17(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),X0)
| sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) = X0 ),
inference(resolution,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
sK15(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) = sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[d25,d16]) ).
cnf(d27,plain,
( icext('uri$uowl$uInverseFunctionalProperty',sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| ~ ip(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) != sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) ),
inference(superposition,[status(thm)],[d26,c14]) ).
cnf(d28,plain,
( ~ ip(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty'))
| sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) != sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) ),
inference(resolution,[status(thm)],[d13,d27]) ).
cnf(d29,plain,
sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')) != sK16(sK21('uri$uex$uInversesOfFunctionalProperties','uri$uowl$uInverseFunctionalProperty')),
inference(resolution,[status(thm)],[d9,d28]) ).
cnf(d30,plain,
$false,
inference(equality_resolution,[status(thm)],[d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.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 : Sat Sep 26 11:54:23 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.95/4.48 % SZS status Theorem for theBenchmark.p
% 28.95/4.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------