%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 03:04:24 PM UTC 2026
% Result : Theorem 2.69s 1.26s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 26 unt; 2 def)
% Number of atoms : 402 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 509 ( 196 ~; 192 |; 105 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 207 ( 0 sgn 200 !; 7 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( 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) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_hasValue,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
fof(f5,conjecture,
( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(f6,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)],[f5]) ).
fof(f7,axiom,
? [X0,X1,X2,X3] :
( 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,X3,uri_foaf_Person)
& iext(uri_owl_onProperty,X3,uri_rdfs_domain)
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ 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)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ 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)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X6,X4,X2,X0,X1] :
( ~ sP1(X6,X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_intersectionOf,X0,X1)
| sP0(X0,X2,X4,X6) )
& ( ~ sP0(X0,X2,X4,X6)
| iext(uri_owl_intersectionOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ( ( ~ iext(uri_owl_intersectionOf,X3,X4)
| sP0(X3,X2,X1,X0) )
& ( ~ sP0(X3,X2,X1,X0)
| iext(uri_owl_intersectionOf,X3,X4) ) ) ),
inference(rectify,[],[f19]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| icext(X0,X3) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f26,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,sK6,uri_foaf_Person)
& iext(uri_owl_onProperty,sK6,uri_rdfs_domain)
& iext(uri_rdf_type,sK6,uri_owl_Restriction)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ 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)
| sP1(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f14]) ).
fof(f48,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(cnf_transformation,[],[f26]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X3,X1)
| ~ iext(uri_rdfs_domain,X0,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP1(X5,X3,X1,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X2,X3,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_hasValue,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_69,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_71,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(cnf_transformation,[],[f59]) ).
tcf(c_72,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f58]) ).
tcf(c_73,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f57]) ).
tcf(c_74,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f56]) ).
tcf(c_75,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f55]) ).
tcf(c_76,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f54]) ).
tcf(c_77,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f53]) ).
tcf(c_79,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(cnf_transformation,[],[f51]) ).
tcf(c_80,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(cnf_transformation,[],[f50]) ).
tcf(c_81,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f49]) ).
tcf(c_82,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_1233,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_1236,plain,
( icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(uri_ex_PersonAttribute,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
| ~ sP1(X0,X1,X2,uri_ex_PersonAttribute,sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X4,X3,X1,X5,X0)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,sK5)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP1(X2,X1,uri_owl_DatatypeProperty,X3,sK3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
| ~ iext(uri_rdf_rest,sK3,X0)
| ~ iext(uri_rdf_rest,X0,sK5)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_1296,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK6,X1,uri_owl_DatatypeProperty,X2,sK3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
| ~ iext(uri_rdf_rest,sK3,X0)
| ~ iext(uri_rdf_rest,X0,sK5)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(instantiation,[status(thm)],[c_1284]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i] :
( sP1(sK6,X0,uri_owl_DatatypeProperty,X1,sK3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
| ~ iext(uri_rdf_first,sK4,X0) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_1315,plain,
! [X0: $i] :
( sP1(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,X0,sK3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty) ),
inference(instantiation,[status(thm)],[c_1307]) ).
tcf(c_1317,plain,
( sP1(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute,sK3)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK5,sK6)
| ~ iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty) ),
inference(instantiation,[status(thm)],[c_1315]) ).
tcf(c_1318,plain,
( sP0(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6)
| ~ iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
| ~ sP1(sK6,uri_owl_FunctionalProperty,uri_owl_DatatypeProperty,uri_ex_PersonAttribute,sK3) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_1369,plain,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ icext(uri_owl_FunctionalProperty,uri_ex_name) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1578,plain,
! [X0: $i] :
( icext(X0,uri_ex_alice)
| ~ iext(uri_rdfs_domain,uri_ex_name,X0) ),
inference(superposition,[status(thm)],[c_82,c_51]) ).
tcf(c_2401,plain,
! [X0: $i,X1: $i] :
( iext(X0,X1,uri_foaf_Person)
| ~ icext(sK6,X1)
| ~ iext(uri_owl_onProperty,sK6,X0) ),
inference(superposition,[status(thm)],[c_80,c_68]) ).
tcf(c_2939,plain,
! [X0: $i] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(sK6,X0) ),
inference(superposition,[status(thm)],[c_79,c_2401]) ).
tcf(c_2979,plain,
( icext(uri_foaf_Person,uri_ex_alice)
| ~ icext(sK6,uri_ex_name) ),
inference(superposition,[status(thm)],[c_2939,c_1578]) ).
fof(f15,definition,
! [X0,X2,X4,X6] :
( sP0(X0,X2,X4,X6)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X6,X4,X2,X0,X1] :
( ~ sP1(X6,X4,X2,X0,X1)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X0,X2,X4,X6) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ 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)
| sP1(X6,X4,X2,X0,X1) ),
inference(definition_folding,[],[f11,f16,f15]) ).
fof(f21,plain,
! [X0,X2,X4,X6] :
( ( ~ sP0(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ( ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7)
| icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ( ~ icext(X0,X7)
| ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP0(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X2,X4,X6] :
( ( ~ sP0(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ( ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7)
| icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| ( icext(X6,X7)
& icext(X4,X7)
& icext(X2,X7) ) )
& ( ~ icext(X0,X7)
| ~ icext(X6,X7)
| ~ icext(X4,X7)
| ~ icext(X2,X7) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP0(X0,X2,X4,X6) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ( ~ sP0(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| ( icext(X3,X5)
& icext(X2,X5)
& icext(X1,X5) ) )
& ( ~ icext(X3,X5)
| ~ icext(X2,X5)
| ~ icext(X1,X5)
| icext(X0,X5) ) )
& ic(X3)
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ? [X4] :
( ( icext(X0,X4)
| ( icext(X3,X4)
& icext(X2,X4)
& icext(X1,X4) ) )
& ( ~ icext(X0,X4)
| ~ icext(X3,X4)
| ~ icext(X2,X4)
| ~ icext(X1,X4) ) )
| ~ ic(X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( ~ sP0(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| ( icext(X3,X5)
& icext(X2,X5)
& icext(X1,X5) ) )
& ( ~ icext(X3,X5)
| ~ icext(X2,X5)
| ~ icext(X1,X5)
| icext(X0,X5) ) )
& ic(X3)
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ( ( icext(X0,sK2(X0,X1,X2,X3))
| ( icext(X3,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3))
& icext(X1,sK2(X0,X1,X2,X3)) ) )
& ( ~ icext(X0,sK2(X0,X1,X2,X3))
| ~ icext(X3,sK2(X0,X1,X2,X3))
| ~ icext(X2,sK2(X0,X1,X2,X3))
| ~ icext(X1,sK2(X0,X1,X2,X3)) ) )
| ~ ic(X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2,X3))],[f23]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X3,X5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X2,X5) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X2,X4)
| ~ icext(X0,X4)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X3,X4)
| ~ icext(X0,X4)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X2,uri_ex_name)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ sP0(uri_ex_PersonAttribute,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X1,uri_ex_name)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ sP0(uri_ex_PersonAttribute,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_1332,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ sP0(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6) ),
inference(instantiation,[status(thm)],[c_1262]) ).
tcf(c_1333,plain,
( icext(sK6,uri_ex_name)
| ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| ~ sP0(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6) ),
inference(instantiation,[status(thm)],[c_1261]) ).
tcf(c_1453,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(global_subsumption_just,[status(thm)],[c_1233,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_69,c_1236,c_1317,c_1318,c_1332,c_1369]) ).
tcf(c_1516,plain,
~ icext(uri_foaf_Person,uri_ex_alice),
inference(superposition,[status(thm)],[c_49,c_1453]) ).
tcf(c_2980,plain,
~ icext(sK6,uri_ex_name),
inference(forward_subsumption_resolution,[status(thm)],[c_2979,c_1516]) ).
tcf(c_3015,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2980,c_1333,c_1318,c_1317,c_1236,c_71,c_72,c_73,c_74,c_75,c_76,c_77,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 15:25:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 2.69/1.26 % SZS status Started for theBenchmark.p
% 2.69/1.26 % SZS status Theorem for theBenchmark.p
% 2.69/1.26
% 2.69/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.69/1.26
% 2.69/1.26 % ------ iProver source info
% 2.69/1.26
% 2.69/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.69/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.69/1.26 % git: non_committed_changes: false
% 2.69/1.26
% 2.69/1.26 % ------ Parsing...
% 2.69/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.69/1.26
% 2.69/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.69/1.26
% 2.69/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.69/1.26 % ------ Proving...
% 2.69/1.26 % ------ Problem Properties
% 2.69/1.26
% 2.69/1.26 %
% 2.69/1.26 % clauses 34
% 2.69/1.26 % conjectures 1
% 2.69/1.26 % EPR 29
% 2.69/1.26 % Horn 31
% 2.69/1.26 % unary 13
% 2.69/1.26 % binary 7
% 2.69/1.26 % lits 95
% 2.69/1.26 % lits eq 0
% 2.69/1.26 % fd_pure 0
% 2.69/1.26 % fd_pseudo 0
% 2.69/1.26 % fd_cond 0
% 2.69/1.26 % fd_pseudo_cond 0
% 2.69/1.26 % AC symbols 0
% 2.69/1.26
% 2.69/1.26 % ------ Schedule dynamic 5 is on
% 2.69/1.26
% 2.69/1.26 % ------ no equalities: superposition off
% 2.69/1.26
% 2.69/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.69/1.26
% 2.69/1.26
% 2.69/1.26 % ------
% 2.69/1.26 % Current options:
% 2.69/1.26 % ------
% 2.69/1.26
% 2.69/1.26
% 2.69/1.26 %
% 2.69/1.26
% 2.69/1.26 % ------ Proving...
% 2.69/1.26 %
% 2.69/1.26
% 2.69/1.26 % SZS status Theorem for theBenchmark.p
% 2.69/1.26
% 2.69/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.69/1.26
% 2.69/1.26
%------------------------------------------------------------------------------