%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 : Fri Sep 25 03:03:44 PM UTC 2026
% Result : Theorem 14.22s 7.17s
% Output : Proof 14.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 45 unt; 0 def)
% Number of atoms : 276 ( 29 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 306 ( 109 ~; 95 |; 92 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 26 con; 0-7 aty)
% Number of variables : 144 ( 12 sgn 72 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f79_nnf,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c199,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi176,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c199]) ).
fof(f139,axiom,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f139_nnf,plain,
? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
& iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l3,BNODE_r)
& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
& iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(nnf_transformation,[status(thm)],[f139]) ).
fof(f139_sk,plain,
( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_owl_hasValue,sk21,uri_foaf_Person)
& iext(uri_owl_onProperty,sk21,uri_rdfs_domain)
& iext(uri_rdf_type,sk21,uri_owl_Restriction)
& iext(uri_rdf_rest,sk20,uri_rdf_nil)
& iext(uri_rdf_first,sk20,sk21)
& iext(uri_rdf_rest,sk19,sk20)
& iext(uri_rdf_first,sk19,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sk18,sk19)
& iext(uri_rdf_first,sk18,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk18)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk18,sk19,sk20,sk21])],[f139_nnf]) ).
cnf(c278,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi253,axiom,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute) = true,
inference(equality_encoding,[status(esa)],[c278]) ).
cnf(h3408,plain,
icext(uri_ex_PersonAttribute,uri_ex_name) = true,
inference(hyper_resolution,[status(thm)],[hi176,hi253]) ).
fof(f4,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(f4_nnf,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( ? [X] :
( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X)
& ~ icext(Z,X) )
| ( ( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [S1,C1,S2,C2,S3,C3,Z,X] :
( ( ( ( icext(C3,sk3(Z,S1,C1,S2,C2,S3,C3))
& icext(C2,sk3(Z,S1,C1,S2,C2,S3,C3))
& icext(C1,sk3(Z,S1,C1,S2,C2,S3,C3))
& ~ icext(Z,sk3(Z,S1,C1,S2,C2,S3,C3)) )
| ( ( ~ icext(C3,sk3(Z,S1,C1,S2,C2,S3,C3))
| ~ icext(C2,sk3(Z,S1,C1,S2,C2,S3,C3))
| ~ icext(C1,sk3(Z,S1,C1,S2,C2,S3,C3)) )
& icext(Z,sk3(Z,S1,C1,S2,C2,S3,C3)) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ( ~ icext(C3,X)
| ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C3,X)
& icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f4_nnf]) ).
cnf(c37,plain,
( icext(X6,X7)
| ~ icext(X0,X7)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi30,axiom,
ifeq(iext(uri_rdf_first,X0,X1),true,ifeq(iext(uri_rdf_rest,X0,X2),true,ifeq(iext(uri_rdf_first,X2,X3),true,ifeq(iext(uri_rdf_rest,X2,X4),true,ifeq(iext(uri_rdf_first,X4,X5),true,ifeq(iext(uri_rdf_rest,X4,uri_rdf_nil),true,ifeq(iext(uri_owl_intersectionOf,X6,X0),true,ifeq(icext(X6,X7),true,icext(X5,X7),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(c269,plain,
iext(uri_rdf_first,sk18,uri_owl_DatatypeProperty),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi244,axiom,
iext(uri_rdf_first,sk18,uri_owl_DatatypeProperty) = true,
inference(equality_encoding,[status(esa)],[c269]) ).
cnf(c270,plain,
iext(uri_rdf_rest,sk18,sk19),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi245,axiom,
iext(uri_rdf_rest,sk18,sk19) = true,
inference(equality_encoding,[status(esa)],[c270]) ).
cnf(c271,plain,
iext(uri_rdf_first,sk19,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi246,axiom,
iext(uri_rdf_first,sk19,uri_owl_FunctionalProperty) = true,
inference(equality_encoding,[status(esa)],[c271]) ).
cnf(c272,plain,
iext(uri_rdf_rest,sk19,sk20),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi247,axiom,
iext(uri_rdf_rest,sk19,sk20) = true,
inference(equality_encoding,[status(esa)],[c272]) ).
cnf(c273,plain,
iext(uri_rdf_first,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi248,axiom,
iext(uri_rdf_first,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c273]) ).
cnf(c274,plain,
iext(uri_rdf_rest,sk20,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi249,axiom,
iext(uri_rdf_rest,sk20,uri_rdf_nil) = true,
inference(equality_encoding,[status(esa)],[c274]) ).
cnf(c268,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk18),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi243,axiom,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk18) = true,
inference(equality_encoding,[status(esa)],[c268]) ).
cnf(h3410,plain,
icext(sk21,uri_ex_name) = true,
inference(hyper_resolution,[status(thm)],[hi30,hi244,hi245,hi246,hi247,hi248,hi249,hi243,h3408]) ).
fof(f56,axiom,
! [Z,P,A] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasValue,Z,A) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
fof(f56_nnf,plain,
! [Z,P,A] :
( ! [X] :
( ( ~ iext(P,X,A)
| icext(Z,X) )
& ( iext(P,X,A)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [Z,A,P,X] :
( ( ( ~ iext(P,X,A)
| icext(Z,X) )
& ( iext(P,X,A)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasValue,Z,A) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c172,plain,
( iext(X1,X3,X2)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(hi149,axiom,
ifeq(iext(uri_owl_hasValue,X0,X1),true,ifeq(iext(uri_owl_onProperty,X0,X2),true,ifeq(icext(X0,X3),true,iext(X2,X3,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c172]) ).
cnf(c277,plain,
iext(uri_owl_hasValue,sk21,uri_foaf_Person),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi252,axiom,
iext(uri_owl_hasValue,sk21,uri_foaf_Person) = true,
inference(equality_encoding,[status(esa)],[c277]) ).
cnf(c276,plain,
iext(uri_owl_onProperty,sk21,uri_rdfs_domain),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi251,axiom,
iext(uri_owl_onProperty,sk21,uri_rdfs_domain) = true,
inference(equality_encoding,[status(esa)],[c276]) ).
cnf(h3414,plain,
iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person) = true,
inference(hyper_resolution,[status(thm)],[hi149,hi252,hi251,h3410]) ).
fof(f106,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f106_nnf,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(nnf_transformation,[status(thm)],[f106]) ).
fof(f106_sk,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(skolemisation,[status(esa)],[f106_nnf]) ).
cnf(c227,plain,
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(hi204,axiom,
ifeq(iext(uri_rdfs_domain,X0,X1),true,ifeq(iext(X0,X2,X3),true,icext(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c227]) ).
cnf(c279,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi254,axiom,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) = true,
inference(equality_encoding,[status(esa)],[c279]) ).
cnf(h3740,plain,
icext(uri_foaf_Person,uri_ex_alice) = true,
inference(hyper_resolution,[status(thm)],[hi204,h3414,hi254]) ).
cnf(c200,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi177,axiom,
ifeq(icext(X0,X1),true,iext(uri_rdf_type,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c200]) ).
cnf(h3743,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) = true,
inference(hyper_resolution,[status(thm)],[hi177,h3740]) ).
cnf(c36,plain,
( icext(X4,X7)
| ~ icext(X0,X7)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi29,axiom,
ifeq(iext(uri_rdf_first,X0,X1),true,ifeq(iext(uri_rdf_rest,X0,X2),true,ifeq(iext(uri_rdf_first,X2,X3),true,ifeq(iext(uri_rdf_rest,X2,X4),true,ifeq(iext(uri_rdf_first,X4,X5),true,ifeq(iext(uri_rdf_rest,X4,uri_rdf_nil),true,ifeq(iext(uri_owl_intersectionOf,X6,X0),true,ifeq(icext(X6,X7),true,icext(X3,X7),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c36]) ).
cnf(h3411,plain,
icext(uri_owl_FunctionalProperty,uri_ex_name) = true,
inference(hyper_resolution,[status(thm)],[hi29,hi244,hi245,hi246,hi247,hi248,hi249,hi243,h3408]) ).
cnf(h3415,plain,
iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) = true,
inference(hyper_resolution,[status(thm)],[hi177,h3411]) ).
fof(f138,conjecture,
( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(f138_neg,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(negated_conjecture,[status(cth)],[f138]) ).
fof(f138_nnf,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(nnf_transformation,[status(thm)],[f138_neg]) ).
fof(f138_sk,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(skolemisation,[status(esa)],[f138_nnf]) ).
cnf(c266,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[status(esa)],[f138_sk]) ).
cnf(hi258,negated_conjecture,
ifeq(iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),true,ifeq(iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c266]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi258,h3415,h3743]) ).
cnf(t3037,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f0,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f0_nnf,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Z,C,X] :
( ( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c2,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f5,axiom,
! [Z] :
( iext(uri_owl_unionOf,Z,uri_rdf_nil)
<=> ( ! [X] : ~ icext(Z,X)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
fof(f5_nnf,plain,
! [Z] :
( ( ? [X] : icext(Z,X)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ! [X] : ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Z,X] :
( ( icext(Z,sk4(Z))
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f5_nnf]) ).
cnf(c48,plain,
( ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,uri_rdf_nil) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f9,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f9_nnf,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c86,plain,
~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c48,c86,c266]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3037]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n013.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 15:24:56 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.22/7.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.22/7.17 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------