%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:51:36 AM UTC 2026
% Result : Theorem 0.14s 0.51s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 245 ( 14 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 280 ( 105 ~; 108 |; 53 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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; 0-4 aty)
% Number of variables : 136 ( 2 sgn 82 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_prop_inverseof_ext,axiom,
! [X,Y] :
( iext(uri_owl_inverseOf,X,Y)
=> ( ip(Y)
& ip(X) ) ),
file('theBenchmark.p',owl_prop_inverseof_ext) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X,Y] :
( iext(uri_owl_equivalentClass,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(owl_char_functional,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ! [X,Y1,Y2] :
( ( iext(P,X,Y2)
& iext(P,X,Y1) )
=> Y1 = Y2 )
& ip(P) ) ),
file('theBenchmark.p',owl_char_functional) ).
fof(owl_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('theBenchmark.p',owl_char_inversefunctional) ).
fof(owl_rdfsext_subclassof,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_someValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(owl_inv,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('theBenchmark.p',owl_inv) ).
fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) ),
file('theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III_neg,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III]) ).
fof(owl_class_inversefunctionalproperty_type,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
cnf(c_11,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(clausify,[status(thm)],[owl_class_inversefunctionalproperty_type]) ).
cnf(c_12,plain,
( ip(A)
| ~ iext(uri_owl_inverseOf,A,B) ),
inference(clausify,[status(thm)],[owl_prop_inverseof_ext]) ).
cnf(c_14,plain,
( ic(A)
| ~ iext(uri_owl_equivalentClass,A,B) ),
inference(clausify,[status(thm)],[owl_prop_equivalentclass_ext]) ).
cnf(c_17,plain,
( D = C
| ~ iext(A,B,D)
| ~ iext(A,B,C)
| ~ icext(uri_owl_FunctionalProperty,A) ),
inference(clausify,[status(thm)],[owl_char_functional]) ).
fof(nnf_4,plain,
! [P] :
( ( ? [X1,X2,Y] :
( X2 != X1
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ! [X0,X3,X4] :
( X3 = X0
| ~ iext(P,X3,X4)
| ~ iext(P,X0,X4) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(fof_nnf,[status(thm)],[owl_char_inversefunctional]) ).
fof(sk_owl_char_inversefunctional_sk,plain,
! [P] :
( ( ( sK2(P) != sK0(P)
& iext(P,sK2(P),sK1(P))
& iext(P,sK0(P),sK1(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ! [X0,X3,X4] :
( X3 = X0
| ~ iext(P,X3,X4)
| ~ iext(P,X0,X4) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(P)),skolemize(X2,sK2(P)),skolemize(Y,sK1(P))],[nnf_4]) ).
fof(sk_owl_char_inversefunctional,plain,
( ! [VAR_0] :
( sK2(VAR_0) != sK0(VAR_0)
| ~ ip(VAR_0)
| icext(uri_owl_InverseFunctionalProperty,VAR_0) )
& ! [VAR_0] :
( iext(VAR_0,sK2(VAR_0),sK1(VAR_0))
| ~ ip(VAR_0)
| icext(uri_owl_InverseFunctionalProperty,VAR_0) )
& ! [VAR_0] :
( iext(VAR_0,sK0(VAR_0),sK1(VAR_0))
| ~ ip(VAR_0)
| icext(uri_owl_InverseFunctionalProperty,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( VAR_3 = VAR_1
| ~ iext(VAR_0,VAR_3,VAR_2)
| ~ iext(VAR_0,VAR_1,VAR_2)
| ~ icext(uri_owl_InverseFunctionalProperty,VAR_0) )
& ! [VAR_0] :
( ip(VAR_0)
| ~ icext(uri_owl_InverseFunctionalProperty,VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_owl_char_inversefunctional_sk]) ).
cnf(c_23,plain,
( iext(A,sK0(A),sK1(A))
| ~ ip(A)
| icext(uri_owl_InverseFunctionalProperty,A) ),
inference(split_conjunct,[status(thm)],[sk_owl_char_inversefunctional]) ).
cnf(c_24,plain,
( iext(A,sK2(A),sK1(A))
| ~ ip(A)
| icext(uri_owl_InverseFunctionalProperty,A) ),
inference(split_conjunct,[status(thm)],[sk_owl_char_inversefunctional]) ).
cnf(c_25,plain,
( sK2(A) != sK0(A)
| ~ ip(A)
| icext(uri_owl_InverseFunctionalProperty,A) ),
inference(split_conjunct,[status(thm)],[sk_owl_char_inversefunctional]) ).
fof(nnf_5,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X0] :
( icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof]) ).
fof(sk_owl_rdfsext_subclassof_sk,plain,
! [C1,C2] :
( ( ( ~ icext(C2,sK3(C1,C2))
& icext(C1,sK3(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X0] :
( icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X,sK3(C1,C2))],[nnf_5]) ).
fof(sk_owl_rdfsext_subclassof,plain,
( ! [VAR_0,VAR_1] :
( ~ icext(VAR_1,sK3(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( icext(VAR_0,sK3(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( icext(VAR_1,VAR_2)
| ~ icext(VAR_0,VAR_2)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_1)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_0)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_owl_rdfsext_subclassof_sk]) ).
cnf(c_29,plain,
( icext(A,sK3(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_rdfs_subClassOf,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_rdfsext_subclassof]) ).
cnf(c_30,plain,
( ~ icext(B,sK3(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_rdfs_subClassOf,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_rdfsext_subclassof]) ).
cnf(c_31,plain,
( icext(B,C)
| ~ icext(A,C)
| ~ iext(uri_owl_equivalentClass,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_equivalentclass]) ).
fof(nnf_7,plain,
! [Z,P,C] :
( ! [X] :
( ( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ( ? [X0] :
( icext(C,X0)
& iext(P,X,X0) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom]) ).
fof(sk_owl_restrict_somevaluesfrom_sk,plain,
! [Z,P,C] :
( ! [X] :
( ( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ( ( icext(C,sK4(Z,P,C,X))
& iext(P,X,sK4(Z,P,C,X)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4(Z,P,C,X))],[nnf_7]) ).
fof(sk_owl_restrict_somevaluesfrom,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ icext(VAR_1,VAR_4)
| ~ iext(VAR_2,VAR_3,VAR_4)
| icext(VAR_0,VAR_3)
| ~ iext(uri_owl_onProperty,VAR_0,VAR_2)
| ~ iext(uri_owl_someValuesFrom,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( icext(VAR_1,sK4(VAR_0,VAR_2,VAR_1,VAR_3))
| ~ icext(VAR_0,VAR_3)
| ~ iext(uri_owl_onProperty,VAR_0,VAR_2)
| ~ iext(uri_owl_someValuesFrom,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( iext(VAR_2,VAR_3,sK4(VAR_0,VAR_2,VAR_1,VAR_3))
| ~ icext(VAR_0,VAR_3)
| ~ iext(uri_owl_onProperty,VAR_0,VAR_2)
| ~ iext(uri_owl_someValuesFrom,VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_owl_restrict_somevaluesfrom_sk]) ).
cnf(c_35,plain,
( iext(C,D,sK4(A,C,B,D))
| ~ icext(A,D)
| ~ iext(uri_owl_onProperty,A,C)
| ~ iext(uri_owl_someValuesFrom,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_restrict_somevaluesfrom]) ).
cnf(c_36,plain,
( icext(B,sK4(A,C,B,D))
| ~ icext(A,D)
| ~ iext(uri_owl_onProperty,A,C)
| ~ iext(uri_owl_someValuesFrom,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_restrict_somevaluesfrom]) ).
cnf(c_38,plain,
( iext(B,D,C)
| ~ iext(A,C,D)
| ~ iext(uri_owl_inverseOf,A,B) ),
inference(clausify,[status(thm)],[owl_inv]) ).
fof(nnf_9,plain,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
fof(sk_testcase_premise_fullish_028_Inferred_Property_Characteristics_III,plain,
( iext(uri_owl_someValuesFrom,sK5,uri_owl_FunctionalProperty)
& iext(uri_owl_onProperty,sK5,uri_owl_inverseOf)
& iext(uri_rdf_type,sK5,uri_owl_Restriction)
& iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(BNODE_z,sK5)],[nnf_9]) ).
cnf(c_42,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK5),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c_44,plain,
iext(uri_owl_onProperty,sK5,uri_owl_inverseOf),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c_45,plain,
iext(uri_owl_someValuesFrom,sK5,uri_owl_FunctionalProperty),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_028_Inferred_Property_Characteristics_III]) ).
cnf(c_46,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III_neg]) ).
cnf(c_67,plain,
( icext(sK5,A)
| ~ icext(uri_ex_InversesOfFunctionalProperties,A) ),
inference(resolve,[status(thm)],[c_42,c_31]) ).
cnf(c_71,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(resolve,[status(thm)],[c_42,c_14]) ).
cnf(c_507,plain,
( icext(uri_ex_InversesOfFunctionalProperties,sK3(uri_ex_InversesOfFunctionalProperties,A))
| ~ ic(A)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,A) ),
inference(resolve,[status(thm)],[c_29,c_71]) ).
cnf(c_508,plain,
( icext(uri_ex_InversesOfFunctionalProperties,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
inference(resolve,[status(thm)],[c_507,c_11]) ).
cnf(c_117,negated_conjecture,
icext(uri_ex_InversesOfFunctionalProperties,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolve,[status(thm)],[c_46,c_508]) ).
cnf(c_509,negated_conjecture,
( ~ icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties) ),
inference(resolve,[status(thm)],[c_30,c_46]) ).
cnf(c_510,negated_conjecture,
( ~ icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ic(uri_owl_InverseFunctionalProperty) ),
inference(resolve,[status(thm)],[c_509,c_71]) ).
cnf(c_118,negated_conjecture,
~ icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolve,[status(thm)],[c_510,c_11]) ).
cnf(c_124,plain,
icext(sK5,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolve,[status(thm)],[c_117,c_67]) ).
cnf(c_511,plain,
( icext(uri_owl_FunctionalProperty,sK4(sK5,A,uri_owl_FunctionalProperty,B))
| ~ icext(sK5,B)
| ~ iext(uri_owl_onProperty,sK5,A) ),
inference(resolve,[status(thm)],[c_36,c_45]) ).
cnf(c_512,plain,
( icext(uri_owl_FunctionalProperty,sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,A))
| ~ icext(sK5,A) ),
inference(resolve,[status(thm)],[c_511,c_44]) ).
cnf(c_129,plain,
icext(uri_owl_FunctionalProperty,sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_512,c_124]) ).
cnf(c_513,plain,
( iext(A,B,sK4(sK5,A,uri_owl_FunctionalProperty,B))
| ~ icext(sK5,B)
| ~ iext(uri_owl_onProperty,sK5,A) ),
inference(resolve,[status(thm)],[c_35,c_45]) ).
cnf(c_514,plain,
( iext(uri_owl_inverseOf,A,sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,A))
| ~ icext(sK5,A) ),
inference(resolve,[status(thm)],[c_513,c_44]) ).
cnf(c_130,plain,
iext(uri_owl_inverseOf,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_514,c_124]) ).
cnf(c_245,plain,
ip(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolve,[status(thm)],[c_130,c_12]) ).
cnf(c_515,plain,
( sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolve,[status(thm)],[c_245,c_25]) ).
cnf(c_249,plain,
sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolve,[status(thm)],[c_118,c_515]) ).
cnf(c_516,plain,
( iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolve,[status(thm)],[c_245,c_24]) ).
cnf(c_250,plain,
iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_118,c_516]) ).
cnf(c_517,plain,
( iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
| icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolve,[status(thm)],[c_245,c_23]) ).
cnf(c_251,plain,
iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_118,c_517]) ).
cnf(c_518,plain,
( iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),B,A)
| ~ iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),A,B) ),
inference(resolve,[status(thm)],[c_38,c_130]) ).
cnf(c_296,plain,
iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_518,c_250]) ).
cnf(c_519,plain,
( iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),B,A)
| ~ iext(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),A,B) ),
inference(resolve,[status(thm)],[c_38,c_130]) ).
cnf(c_302,plain,
iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_519,c_251]) ).
cnf(c_520,plain,
( C = B
| ~ iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),A,C)
| ~ iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),A,B) ),
inference(resolve,[status(thm)],[c_17,c_129]) ).
cnf(c_521,plain,
( sK2(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = A
| ~ iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),A) ),
inference(resolve,[status(thm)],[c_520,c_296]) ).
cnf(c_522,plain,
~ iext(sK4(sK5,uri_owl_inverseOf,uri_owl_FunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolve,[status(thm)],[c_521,c_249]) ).
cnf(c_506,plain,
$false,
inference(resolve,[status(thm)],[c_302,c_522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n006.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 11:51:25 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.42 % Process 1181716 was started by sandbox2 on n006,
% 0.14/0.42 % Sat Sep 26 11:51:25 2026
% 0.14/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.42
% 0.14/0.42 % From the command line: assign(max_seconds, 300).
% 0.14/0.51
% 0.14/0.51 % SZS status Theorem for theBenchmark
% 0.14/0.51
% 0.14/0.51 % Proof 1 at 0.06 (+ 0.02) seconds.
% 0.14/0.51 % Length of proof is 41.
% 0.14/0.51 % Level of proof is 9.
% 0.14/0.51 % Maximum clause weight is 31.000.
% 0.14/0.51 % Given clauses 272.
% 0.14/0.51
% 0.14/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------