TSTP Solution File: SWB002+3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB002+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:07:48 EDT 2023
% Result : Theorem 6.22s 2.55s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 201
% Syntax : Number of formulae : 343 ( 147 unt; 61 typ; 0 def)
% Number of atoms : 780 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 2 avg)
% Number of connectives : 2155 ( 10 ~; 15 |; 236 &;1647 @)
% ( 38 <=>; 209 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 61 usr; 51 con; 0-3 aty)
% Number of variables : 343 ( 0 ^; 330 !; 13 ?; 343 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_p_type,type,
uri_ex_p: $i ).
thf(uri_ex_q_type,type,
uri_ex_q: $i ).
thf(lv_type,type,
lv: $i > $o ).
thf(ir_type,type,
ir: $i > $o ).
thf(ic_type,type,
ic: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(ioap_type,type,
ioap: $i > $o ).
thf(ip_type,type,
ip: $i > $o ).
thf(idc_type,type,
idc: $i > $o ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
thf(ioxp_type,type,
ioxp: $i > $o ).
thf(uri_rdfs_Resource_type,type,
uri_rdfs_Resource: $i ).
thf(uri_owl_unionOf_type,type,
uri_owl_unionOf: $i ).
thf(uri_owl_allValuesFrom_type,type,
uri_owl_allValuesFrom: $i ).
thf(uri_rdfs_Class_type,type,
uri_rdfs_Class: $i ).
thf(iodp_type,type,
iodp: $i > $o ).
thf(uri_rdfs_Literal_type,type,
uri_rdfs_Literal: $i ).
thf(uri_owl_Nothing_type,type,
uri_owl_Nothing: $i ).
thf(uri_owl_someValuesFrom_type,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_intersectionOf_type,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_complementOf_type,type,
uri_owl_complementOf: $i ).
thf(ix_type,type,
ix: $i > $o ).
thf(uri_owl_hasValue_type,type,
uri_owl_hasValue: $i ).
thf(uri_rdfs_domain_type,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_predicate_type,type,
uri_rdf_predicate: $i ).
thf(uri_rdfs_Statement_type,type,
uri_rdfs_Statement: $i ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_rdf_List_type,type,
uri_rdf_List: $i ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_rdf_value_type,type,
uri_rdf_value: $i ).
thf(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
thf(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
thf(uri_rdf__2_type,type,
uri_rdf__2: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(uri_rdfs_seeAlso_type,type,
uri_rdfs_seeAlso: $i ).
thf(uri_rdf__1_type,type,
uri_rdf__1: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(uri_owl_OntologyProperty_type,type,
uri_owl_OntologyProperty: $i ).
thf(uri_rdfs_Datatype_type,type,
uri_rdfs_Datatype: $i ).
thf(uri_rdfs_comment_type,type,
uri_rdfs_comment: $i ).
thf(uri_rdfs_Seq_type,type,
uri_rdfs_Seq: $i ).
thf(uri_rdfs_Container_type,type,
uri_rdfs_Container: $i ).
thf(uri_rdf_XMLLiteral_type,type,
uri_rdf_XMLLiteral: $i ).
thf(uri_rdfs_subPropertyOf_type,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_rdf_subject_type,type,
uri_rdf_subject: $i ).
thf(uri_rdf_Bag_type,type,
uri_rdf_Bag: $i ).
thf(uri_owl_AnnotationProperty_type,type,
uri_owl_AnnotationProperty: $i ).
thf(uri_rdfs_member_type,type,
uri_rdfs_member: $i ).
thf(uri_rdfs_label_type,type,
uri_rdfs_label: $i ).
thf(uri_owl_DatatypeProperty_type,type,
uri_owl_DatatypeProperty: $i ).
thf(uri_rdf_Alt_type,type,
uri_rdf_Alt: $i ).
thf(uri_rdfs_isDefinedBy_type,type,
uri_rdfs_isDefinedBy: $i ).
thf(uri_rdfs_ContainerMembershipProperty_type,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(uri_rdf_object_type,type,
uri_rdf_object: $i ).
thf(uri_owl_Ontology_type,type,
uri_owl_Ontology: $i ).
thf(uri_ex_s_type,type,
uri_ex_s: $i ).
thf(uri_rdf__3_type,type,
uri_rdf__3: $i ).
thf(78,axiom,
iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(347,plain,
iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_allValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
thf(249,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_allValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(131,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(518,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(111,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(468,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(14,axiom,
ip @ uri_owl_allValuesFrom,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_type) ).
thf(170,plain,
ip @ uri_owl_allValuesFrom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(30,axiom,
iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(202,plain,
iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(86,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(385,plain,
iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(136,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(533,plain,
iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(141,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
& ( iext @ uri_rdfs_subClassOf @ B @ C ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(550,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
& ( iext @ uri_rdfs_subClassOf @ B @ C ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( iext @ uri_ex_p @ A @ B )
& ( iext @ uri_ex_q @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( iext @ uri_ex_p @ A @ B )
& ( iext @ uri_ex_q @ B @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(142,plain,
~ ? [A: $i,B: $i] :
( ( iext @ uri_ex_p @ A @ B )
& ( iext @ uri_ex_q @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(121,axiom,
iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(500,plain,
iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(61,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_value_type) ).
thf(288,plain,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(74,axiom,
! [A: $i] :
( ( idc @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_def) ).
thf(320,plain,
! [A: $i] :
( ( ( idc @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype )
=> ( idc @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(50,axiom,
! [A: $i] :
( ( ioxp @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_def) ).
thf(257,plain,
! [A: $i] :
( ( ( ioxp @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty )
=> ( ioxp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(88,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_range @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).
thf(389,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) )
=> ( iext @ uri_rdfs_range @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(123,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(504,plain,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(26,axiom,
ip @ uri_owl_complementOf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_type) ).
thf(196,plain,
ip @ uri_owl_complementOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(109,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(460,plain,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(8,axiom,
ip @ uri_owl_onProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_type) ).
thf(157,plain,
ip @ uri_owl_onProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(97,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_domain @ A @ B )
<=> ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
thf(421,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
=> ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_domain @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(75,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(325,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(7,axiom,
! [A: $i] :
( ( icext @ uri_owl_Thing @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(152,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Thing @ A )
=> ( ir @ A ) )
& ( ( ir @ A )
=> ( icext @ uri_owl_Thing @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_someValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
thf(289,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_someValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(216,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(12,axiom,
! [A: $i] :
( ( ir @ A )
<=> ( icext @ uri_rdfs_Resource @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(164,plain,
! [A: $i] :
( ( ( ir @ A )
=> ( icext @ uri_rdfs_Resource @ A ) )
& ( ( icext @ uri_rdfs_Resource @ A )
=> ( ir @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(84,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(376,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) ) )
& ( ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(34,axiom,
iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(211,plain,
iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(115,axiom,
! [A: $i] :
( ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
thf(485,plain,
! [A: $i] :
( ( ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) )
=> ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(127,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(514,plain,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(79,axiom,
! [A: $i] :
( ( ioap @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_def) ).
thf(348,plain,
! [A: $i] :
( ( ( ioap @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty )
=> ( ioap @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(80,axiom,
! [A: $i] :
( ( ir @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ir_def) ).
thf(353,plain,
! [A: $i] :
( ( ( ir @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource )
=> ( ir @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(104,axiom,
iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(453,plain,
iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(44,axiom,
iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(243,plain,
iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(53,axiom,
iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(265,plain,
iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(132,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(527,plain,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(33,axiom,
! [A: $i] :
( ( lv @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_lv_def) ).
thf(206,plain,
! [A: $i] :
( ( ( lv @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal )
=> ( lv @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(63,axiom,
! [A: $i] :
( ( ip @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(292,plain,
! [A: $i] :
( ( ip @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(103,axiom,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(452,plain,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(47,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(248,plain,
iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(126,axiom,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Resource ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(512,plain,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Resource ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(29,axiom,
ip @ uri_owl_hasValue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_hasvalue_type) ).
thf(201,plain,
ip @ uri_owl_hasValue,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(137,axiom,
iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(534,plain,
iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(10,axiom,
? [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ir_cond_set) ).
thf(160,plain,
? [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(67,axiom,
iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(297,plain,
iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(22,axiom,
ic @ uri_owl_Thing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(192,plain,
ic @ uri_owl_Thing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( iext @ B @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(252,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(27,axiom,
! [A: $i] :
( ( idc @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( lv @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_inst) ).
thf(197,plain,
! [A: $i] :
( ( idc @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(110,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(461,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ( icext @ B @ C ) )
& ( ~ ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(71,axiom,
iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(317,plain,
iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(13,axiom,
ip @ uri_owl_unionOf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_type) ).
thf(169,plain,
ip @ uri_owl_unionOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(96,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(420,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(120,axiom,
iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(499,plain,
iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(114,axiom,
! [A: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
( ( icext @ A @ B )
<=> ( ir @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_000) ).
thf(471,plain,
! [A: $i] :
( ( ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
( ( ( icext @ A @ B )
=> ( ir @ B ) )
& ( ( ir @ B )
=> ( icext @ A @ B ) ) ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
( ( ( icext @ A @ B )
=> ( ir @ B ) )
& ( ( ir @ B )
=> ( icext @ A @ B ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(23,axiom,
ip @ uri_owl_someValuesFrom,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_type) ).
thf(193,plain,
ip @ uri_owl_someValuesFrom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,axiom,
iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(212,plain,
iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(128,axiom,
iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(515,plain,
iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(106,axiom,
iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(457,plain,
iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(16,axiom,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_lv) ).
thf(173,plain,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(77,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(343,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(45,axiom,
iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(244,plain,
iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(54,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_type) ).
thf(266,plain,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(89,axiom,
! [A: $i] :
( ( ioap @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_cond_inst) ).
thf(398,plain,
! [A: $i] :
( ( ioap @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(298,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(92,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(412,plain,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(98,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ uri_rdfs_member ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(430,plain,
! [A: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ uri_rdfs_member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(5,axiom,
! [A: $i] :
( ( ioap @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_cond_set) ).
thf(148,plain,
! [A: $i] :
( ( ioap @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(52,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(264,plain,
iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(18,axiom,
! [A: $i] :
( ( iodp @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
thf(180,plain,
! [A: $i] :
( ( iodp @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(66,axiom,
iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(296,plain,
iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(32,axiom,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(204,plain,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(93,axiom,
! [A: $i] :
( ( iodp @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
thf(413,plain,
! [A: $i] :
( ( ( iodp @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty )
=> ( iodp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(69,axiom,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(313,plain,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(3,axiom,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_lv_cond_set) ).
thf(144,plain,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(119,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(498,plain,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_type @ A @ B )
<=> ( icext @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(236,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_type @ A @ B )
=> ( icext @ B @ A ) )
& ( ( icext @ B @ A )
=> ( iext @ uri_rdf_type @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(20,axiom,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(187,plain,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(95,axiom,
iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(419,plain,
iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(245,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(72,axiom,
iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(318,plain,
iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(117,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(494,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(138,axiom,
iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(535,plain,
iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(36,axiom,
iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(213,plain,
iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(278,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(55,axiom,
! [A: $i] :
( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(267,plain,
! [A: $i] :
( ( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(42,axiom,
iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(241,plain,
iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(124,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(505,plain,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(101,axiom,
? [A: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ A )
& ( iext @ uri_ex_q @ A @ uri_ex_s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).
thf(438,plain,
? [A: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ A )
& ( iext @ uri_ex_q @ A @ uri_ex_s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(129,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(516,plain,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(76,axiom,
iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(342,plain,
iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(107,axiom,
iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(458,plain,
iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(24,axiom,
ip @ uri_owl_intersectionOf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_type) ).
thf(194,plain,
ip @ uri_owl_intersectionOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,axiom,
! [A: $i] :
( ( ioxp @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_cond_set) ).
thf(162,plain,
! [A: $i] :
( ( ioxp @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(134,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(531,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(65,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(295,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(59,axiom,
iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(282,plain,
iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(6,axiom,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(150,plain,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,axiom,
! [A: $i] :
( ( ix @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ix_cond_set) ).
thf(199,plain,
! [A: $i] :
( ( ix @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(19,axiom,
! [A: $i] :
( ( lv @ A )
<=> ( icext @ uri_rdfs_Literal @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(182,plain,
! [A: $i] :
( ( ( lv @ A )
=> ( icext @ uri_rdfs_Literal @ A ) )
& ( ( icext @ uri_rdfs_Literal @ A )
=> ( lv @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( icext @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_001) ).
thf(441,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(113,axiom,
iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(470,plain,
iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(359,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(70,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
thf(314,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(118,axiom,
iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(497,plain,
iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(17,axiom,
! [A: $i] :
( ( ic @ A )
<=> ( icext @ uri_rdfs_Class @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(175,plain,
! [A: $i] :
( ( ( ic @ A )
=> ( icext @ uri_rdfs_Class @ A ) )
& ( ( icext @ uri_rdfs_Class @ A )
=> ( ic @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(87,axiom,
! [A: $i] :
( ( ip @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_cond_inst) ).
thf(386,plain,
! [A: $i] :
( ( ip @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(140,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( icext @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_001) ).
thf(539,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(31,axiom,
iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(203,plain,
iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(130,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(517,plain,
iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(73,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(319,plain,
iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(9,axiom,
! [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(158,plain,
! [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(90,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(401,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(15,axiom,
! [A: $i] :
( ( ip @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_cond_set) ).
thf(171,plain,
! [A: $i] :
( ( ip @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(94,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(418,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(40,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(235,plain,
iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(100,axiom,
! [A: $i] :
( ( ix @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_Ontology ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ix_def) ).
thf(433,plain,
! [A: $i] :
( ( ( ix @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_Ontology ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_Ontology )
=> ( ix @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(56,axiom,
! [A: $i] :
( ( ip @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_def) ).
thf(272,plain,
! [A: $i] :
( ( ( ip @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
=> ( ip @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(383,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(139,axiom,
! [A: $i] :
( ( iodp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( lv @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).
thf(536,plain,
! [A: $i] :
( ( iodp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( lv @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(37,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(214,plain,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(99,axiom,
iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(432,plain,
iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(91,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
& ( iext @ uri_rdfs_subPropertyOf @ B @ C ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(410,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
& ( iext @ uri_rdfs_subPropertyOf @ B @ C ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(51,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Literal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(262,plain,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Literal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(4,axiom,
! [A: $i] :
( ( ic @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( ir @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
thf(146,plain,
! [A: $i] :
( ( ic @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,axiom,
! [A: $i] :
( ( ic @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_cond_set) ).
thf(190,plain,
! [A: $i] :
( ( ic @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
thf(373,plain,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(43,axiom,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(242,plain,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(64,axiom,
iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(294,plain,
iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(125,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(506,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(81,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(358,plain,
iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(25,axiom,
ic @ uri_owl_Nothing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_type) ).
thf(195,plain,
ic @ uri_owl_Nothing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(135,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(532,plain,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(60,axiom,
! [A: $i] :
( ( ic @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Class ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_def) ).
thf(283,plain,
! [A: $i] :
( ( ( ic @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Class ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Class )
=> ( ic @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(133,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
thf(528,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(108,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(459,plain,
iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(57,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(277,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(122,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasValue @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
thf(501,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasValue @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(112,axiom,
iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(469,plain,
iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(38,axiom,
iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(215,plain,
iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(116,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onProperty @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(491,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onProperty @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(105,axiom,
! [A: $i] :
( ( ioxp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ix @ B )
& ( ix @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_cond_inst) ).
thf(454,plain,
! [A: $i] :
( ( ioxp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ix @ B )
& ( ix @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(552,plain,
$false,
inference(e,[status(thm)],[347,249,518,468,170,202,385,533,550,142,500,288,320,257,389,504,196,460,157,421,325,152,289,216,164,376,211,485,514,348,353,453,243,265,527,206,292,452,248,512,201,534,160,297,192,252,197,461,317,169,420,499,471,193,212,515,457,173,343,244,266,398,298,412,430,148,264,180,296,204,413,313,144,498,236,187,419,245,318,494,535,213,278,267,241,505,438,516,342,458,194,162,531,295,282,150,199,182,441,470,359,314,497,175,386,539,203,517,319,158,401,171,418,235,433,272,383,536,214,432,410,262,146,190,373,242,294,506,358,195,532,283,528,459,277,501,469,215,491,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB002+3 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 20:47:34 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/1.04 % [INFO] Parsing done (165ms).
% 1.49/1.05 % [INFO] Running in sequential loop mode.
% 1.80/1.25 % [INFO] eprover registered as external prover.
% 1.80/1.25 % [INFO] cvc4 registered as external prover.
% 1.80/1.26 % [INFO] Scanning for conjecture ...
% 2.19/1.38 % [INFO] Found a conjecture and 139 axioms. Running axiom selection ...
% 2.40/1.46 % [INFO] Axiom selection finished. Selected 139 axioms (removed 0 axioms).
% 2.58/1.55 % [INFO] Problem is first-order (TPTP FOF).
% 2.82/1.56 % [INFO] Type checking passed.
% 2.82/1.56 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.22/2.54 % External prover 'e' found a proof!
% 6.22/2.54 % [INFO] Killing All external provers ...
% 6.22/2.54 % Time passed: 2002ms (effective reasoning time: 1486ms)
% 6.22/2.54 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.22/2.55 % Axioms used in derivation (139): rdfs_range_range, rdfs_reification_subject_domain, rdf_value_type, rdfs_container_containermembershipproperty_instsub_member, rdfs_reification_subject_range, owl_prop_unionof_ext, owl_rdfsext_domain, rdfs_subclassof_range, owl_rdfsext_subpropertyof, rdfs_subpropertyof_domain, owl_prop_complementof_ext, rdfs_container_n_range_001, owl_prop_onproperty_type, rdfs_subclassof_reflex, owl_prop_hasvalue_type, owl_prop_intersectionof_ext, rdfs_subpropertyof_trans, rdfs_container_alt_sub, rdfs_container_n_domain_001, owl_parts_ip_cond_set, rdfs_container_bag_sub, owl_class_thing_type, rdfs_reification_object_domain, rdf_reification_subject_type, rdfs_range_domain, owl_parts_ioap_cond_set, owl_bool_intersectionof_class_000, rdfs_container_n_domain_002, rdf_container_n_type_001, rdfs_container_n_type_003, rdfs_container_member_domain, rdfs_annotation_label_domain, rdfs_domain_main, owl_bool_unionof_class_000, rdfs_annotation_label_range, rdfs_value_domain, owl_bool_complementof_class, rdfs_container_n_type_002, owl_parts_ix_cond_set, owl_parts_ic_def, owl_bool_intersectionof_class_003, simple_ir, simple_lv, rdf_collection_first_type, rdfs_dat_xmlliteral_sub, rdf_collection_nil_type, owl_parts_ip_cond_inst, rdfs_annotation_isdefinedby_range, owl_prop_onproperty_ext, rdfs_collection_rest_range, owl_parts_ioxp_def, owl_parts_ip_def, owl_bool_unionof_class_003, rdfs_type_range, owl_restrict_somevaluesfrom, owl_parts_ioap_cond_inst, owl_parts_lv_def, owl_parts_ioxp_cond_set, owl_prop_allvaluesfrom_type, rdfs_container_containermembershipproperty_sub, owl_class_nothing_ext, rdfs_domain_domain, rdfs_container_n_range_003, rdf_collection_rest_type, rdfs_collection_rest_domain, rdfs_reification_predicate_domain, owl_parts_iodp_def, owl_parts_ic_cond_inst, rdf_type_ip, owl_parts_lv_cond_set, owl_parts_idc_cond_set, owl_class_nothing_type, rdfs_type_domain, rdfs_annotation_seealso_range, owl_bool_unionof_class_001, rdfs_annotation_isdefinedby_domain, owl_parts_idc_def, rdfs_annotation_comment_domain, owl_parts_ir_def, owl_restrict_hasvalue, owl_prop_somevaluesfrom_ext, owl_parts_ioxp_cond_inst, rdfs_container_n_type_001, rdfs_annotation_comment_range, owl_parts_ir_cond_set, owl_rdfsext_range, rdfs_datatype_instsub_literal, owl_bool_intersectionof_class_002, owl_prop_unionof_type, rdfs_subclassof_trans, owl_parts_idc_cond_inst, owl_prop_complementof_type, rdfs_range_main, testcase_premise_fullish_002_Existential_Blank_Nodes, rdfs_subclassof_domain, rdfs_annotation_isdefinedby_sub, rdfs_subpropertyof_main, owl_prop_somevaluesfrom_type, rdfs_container_member_range, rdfs_property_type, rdf_container_n_type_003, owl_prop_intersectionof_type, rdfs_collection_first_domain, rdfs_ir_def, rdfs_container_n_range_002, owl_parts_ic_cond_set, rdf_reification_predicate_type, rdfs_container_seq_sub, rdfs_ic_def, rdfs_collection_first_range, rdfs_reification_predicate_range, rdfs_dat_xmlliteral_type, owl_parts_iodp_cond_set, rdfs_datatype_sub, owl_class_thing_ext, owl_parts_ioap_def, owl_parts_ix_def, rdfs_subpropertyof_range, owl_prop_hasvalue_ext, rdfs_annotation_seealso_domain, owl_rdfsext_subclassof, rdfs_lv_def, owl_bool_intersectionof_class_001, rdfs_class_instsub_resource, rdfs_reification_object_range, rdfs_subpropertyof_reflex, rdfs_cext_def, rdfs_value_range, rdf_container_n_type_002, rdfs_subclassof_main, owl_bool_unionof_class_002, simple_iext_property, rdfs_container_n_domain_003, owl_parts_iodp_cond_inst, rdf_type_type, owl_prop_allvaluesfrom_ext, rdfs_domain_range, rdf_reification_object_type, owl_restrict_allvaluesfrom
% 6.22/2.55 % No. of inferences in proof: 282
% 6.22/2.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2002 ms resp. 1486 ms w/o parsing
% 6.22/2.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.22/2.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------