%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:50:31 AM UTC 2026
% Result : Theorem 17.44s 10.79s
% Output : Refutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 140
% Syntax : Number of formulae : 282 ( 147 unt; 0 typ; 0 def)
% Number of atoms : 788 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 2 avg)
% Number of connectives : 2187 ( 10 ~; 15 |; 244 &;1671 @)
% ( 38 <=>; 209 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 63 usr; 53 con; 0-3 aty)
% Number of variables : 340 ( 0 ^; 330 !; 10 ?; 340 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_ex_s_decl,type,
uri_ex_s: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_c_decl,type,
uri_ex_c: $i ).
thf(lv_decl,type,
lv: $i > $o ).
thf(ir_decl,type,
ir: $i > $o ).
thf(ic_decl,type,
ic: $i > $o ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(ioap_decl,type,
ioap: $i > $o ).
thf(ip_decl,type,
ip: $i > $o ).
thf(idc_decl,type,
idc: $i > $o ).
thf(uri_owl_Thing_decl,type,
uri_owl_Thing: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(ioxp_decl,type,
ioxp: $i > $o ).
thf(uri_rdfs_Resource_decl,type,
uri_rdfs_Resource: $i ).
thf(uri_owl_unionOf_decl,type,
uri_owl_unionOf: $i ).
thf(uri_owl_allValuesFrom_decl,type,
uri_owl_allValuesFrom: $i ).
thf(uri_rdfs_Class_decl,type,
uri_rdfs_Class: $i ).
thf(iodp_decl,type,
iodp: $i > $o ).
thf(uri_rdfs_Literal_decl,type,
uri_rdfs_Literal: $i ).
thf(uri_owl_Nothing_decl,type,
uri_owl_Nothing: $i ).
thf(uri_owl_someValuesFrom_decl,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_intersectionOf_decl,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_complementOf_decl,type,
uri_owl_complementOf: $i ).
thf(ix_decl,type,
ix: $i > $o ).
thf(uri_owl_hasValue_decl,type,
uri_owl_hasValue: $i ).
thf(uri_rdfs_domain_decl,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_predicate_decl,type,
uri_rdf_predicate: $i ).
thf(uri_rdfs_Statement_decl,type,
uri_rdfs_Statement: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_List_decl,type,
uri_rdf_List: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_value_decl,type,
uri_rdf_value: $i ).
thf(uri_rdf_Property_decl,type,
uri_rdf_Property: $i ).
thf(uri_rdfs_range_decl,type,
uri_rdfs_range: $i ).
thf(uri_rdf__2_decl,type,
uri_rdf__2: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_rdfs_seeAlso_decl,type,
uri_rdfs_seeAlso: $i ).
thf(uri_rdf__1_decl,type,
uri_rdf__1: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(uri_owl_OntologyProperty_decl,type,
uri_owl_OntologyProperty: $i ).
thf(uri_rdfs_Datatype_decl,type,
uri_rdfs_Datatype: $i ).
thf(uri_rdfs_comment_decl,type,
uri_rdfs_comment: $i ).
thf(uri_rdfs_Seq_decl,type,
uri_rdfs_Seq: $i ).
thf(uri_rdfs_Container_decl,type,
uri_rdfs_Container: $i ).
thf(uri_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_rdf_XMLLiteral_decl,type,
uri_rdf_XMLLiteral: $i ).
thf(uri_rdfs_subPropertyOf_decl,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_rdf_subject_decl,type,
uri_rdf_subject: $i ).
thf(uri_rdf_Bag_decl,type,
uri_rdf_Bag: $i ).
thf(uri_owl_AnnotationProperty_decl,type,
uri_owl_AnnotationProperty: $i ).
thf(uri_rdfs_member_decl,type,
uri_rdfs_member: $i ).
thf(uri_rdfs_label_decl,type,
uri_rdfs_label: $i ).
thf(uri_owl_DatatypeProperty_decl,type,
uri_owl_DatatypeProperty: $i ).
thf(uri_rdf_Alt_decl,type,
uri_rdf_Alt: $i ).
thf(uri_rdfs_isDefinedBy_decl,type,
uri_rdfs_isDefinedBy: $i ).
thf(uri_rdfs_ContainerMembershipProperty_decl,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(uri_rdf_object_decl,type,
uri_rdf_object: $i ).
thf(uri_owl_Ontology_decl,type,
uri_owl_Ontology: $i ).
thf(uri_rdf__3_decl,type,
uri_rdf__3: $i ).
thf(109,axiom,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(499,plain,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(43,axiom,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(249,plain,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(76,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(352,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(408,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(137,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(582,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(93,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(449,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(114,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [B: $i] :
( ( B @ ( A @ icext ) )
<=> ( B @ ir ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_000) ).
thf(511,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(35,axiom,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(217,plain,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(54,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_type) ).
thf(276,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(116,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(533,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(124,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(550,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(1,conjecture,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(142,plain,
~ ? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(110,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(500,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( ~ ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(101,axiom,
! [A: $i] :
( ( A @ ix )
<=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ix_def) ).
thf(472,plain,
! [A: $i] :
( ( ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ix ) )
& ( ( A @ ix )
=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( A @ ( uri_rdfs_Literal @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(185,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Literal @ icext ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( A @ ( uri_rdfs_Literal @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(67,axiom,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(320,plain,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(82,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(389,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(73,axiom,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(344,plain,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(22,axiom,
uri_owl_Thing @ ic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(196,plain,
uri_owl_Thing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(119,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(542,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(416,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Thing @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(152,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_owl_Thing @ icext ) ) )
& ( ( A @ ( uri_owl_Thing @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(57,axiom,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(289,plain,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(316,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(34,axiom,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(216,plain,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_cond_inst) ).
thf(492,plain,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(68,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(321,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(79,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(376,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(132,axiom,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(574,plain,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(221,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(63,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
thf(312,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(30,axiom,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(206,plain,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(42,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(248,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_inst) ).
thf(201,plain,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(38,axiom,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(220,plain,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(260,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(128,axiom,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(561,plain,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(53,axiom,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(275,plain,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( A @ ( uri_rdfs_Resource @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(165,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Resource @ icext ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( A @ ( uri_rdfs_Resource @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(252,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(23,axiom,
uri_owl_someValuesFrom @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_type) ).
thf(197,plain,
uri_owl_someValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(138,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(583,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(125,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(551,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(95,axiom,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(456,plain,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(71,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
thf(339,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(117,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(537,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(115,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
thf(526,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(100,axiom,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(471,plain,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
thf(256,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(96,axiom,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(457,plain,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_cond_set) ).
thf(173,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(371,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(72,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(343,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ ioxp )
<=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_def) ).
thf(266,plain,
! [A: $i] :
( ( ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioxp ) )
& ( ( A @ ioxp )
=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(29,axiom,
uri_owl_hasValue @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_hasvalue_type) ).
thf(205,plain,
uri_owl_hasValue @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(111,axiom,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(508,plain,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(62,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_value_type) ).
thf(311,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(118,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(541,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(558,plain,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_cond_set) ).
thf(148,plain,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
? [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ir_cond_set) ).
thf(161,plain,
? [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(139,axiom,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).
thf(584,plain,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(129,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(562,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(89,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).
thf(423,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(20,axiom,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(191,plain,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(134,axiom,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(579,plain,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(122,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
thf(545,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_lv_cond_set) ).
thf(144,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(108,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(498,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(9,axiom,
! [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(159,plain,
! [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
uri_owl_allValuesFrom @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_type) ).
thf(172,plain,
uri_owl_allValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(37,axiom,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(219,plain,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(52,axiom,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(274,plain,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(88,axiom,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_cond_inst) ).
thf(419,plain,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ ioap )
<=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_def) ).
thf(377,plain,
! [A: $i] :
( ( ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioap ) )
& ( ( A @ ioap )
=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(65,axiom,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(318,plain,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(112,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(509,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(208,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(74,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(345,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(45,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(251,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(24,axiom,
uri_owl_intersectionOf @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_type) ).
thf(198,plain,
uri_owl_intersectionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(130,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(563,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(299,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(40,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(241,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(103,axiom,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(490,plain,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(47,axiom,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(255,plain,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(97,axiom,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(458,plain,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_cond_set) ).
thf(194,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(135,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(580,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(150,plain,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,axiom,
uri_owl_Nothing @ ic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_type) ).
thf(199,plain,
uri_owl_Nothing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( A @ ( uri_rdfs_Class @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(177,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Class @ icext ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( A @ ( uri_rdfs_Class @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(77,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(370,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(70,axiom,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(338,plain,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(121,axiom,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(544,plain,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(141,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(600,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_lv) ).
thf(175,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(107,axiom,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(497,plain,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(44,axiom,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(250,plain,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ iodp )
<=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
thf(450,plain,
! [A: $i] :
( ( ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ iodp ) )
& ( ( A @ iodp )
=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ix_cond_set) ).
thf(203,plain,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(136,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(581,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(36,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(218,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(140,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_001) ).
thf(588,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(66,axiom,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(319,plain,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(60,axiom,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(304,plain,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(8,axiom,
uri_owl_onProperty @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_type) ).
thf(158,plain,
uri_owl_onProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(390,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(13,axiom,
uri_owl_unionOf @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_type) ).
thf(171,plain,
uri_owl_unionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(87,axiom,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(418,plain,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(58,axiom,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
thf(290,plain,
? [A: $i] :
( ( uri_ex_c @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
& ( uri_ex_p @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
& ( A @ ( uri_ex_s @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_ObjectProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(31,axiom,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(207,plain,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_001) ).
thf(478,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(272,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(81,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ir_def) ).
thf(383,plain,
! [A: $i] :
( ( ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ idc )
<=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_def) ).
thf(346,plain,
! [A: $i] :
( ( ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ idc ) )
& ( ( A @ idc )
=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(123,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(549,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioap_cond_inst) ).
thf(433,plain,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(113,axiom,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(510,plain,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(92,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(447,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
thf(146,plain,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(84,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
thf(405,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
thf(183,plain,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(131,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(564,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_def) ).
thf(305,plain,
! [A: $i] :
( ( ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_lv_def) ).
thf(210,plain,
! [A: $i] :
( ( ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(242,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(91,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(437,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ ip )
<=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ip_def) ).
thf(283,plain,
! [A: $i] :
( ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) )
& ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(133,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
thf(575,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(98,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
thf(459,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(55,axiom,
! [A: $i] :
( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(277,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ioxp_cond_set) ).
thf(163,plain,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(26,axiom,
uri_owl_complementOf @ ip,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_type) ).
thf(200,plain,
uri_owl_complementOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(69,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(322,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(99,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(469,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(120,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(543,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(127,axiom,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(560,plain,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(104,axiom,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(491,plain,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(106,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(496,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(1224,plain,
$false,
inference(e,[status(thm)],[499,249,352,408,582,449,511,217,276,533,550,142,500,472,185,320,389,344,196,542,416,152,289,316,216,492,321,376,574,221,312,206,248,201,220,260,561,275,165,252,197,583,551,456,339,537,526,471,256,457,173,371,343,266,205,508,311,541,558,148,161,584,562,423,191,579,545,144,498,159,172,219,274,419,377,318,509,208,345,251,198,563,299,241,490,255,458,194,580,150,199,177,370,338,544,600,175,497,250,450,203,581,218,588,319,304,158,390,171,418,290,207,478,272,383,346,549,433,510,447,146,405,183,564,305,210,242,437,283,575,459,277,163,200,322,469,543,560,491,496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.13 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.20/5.49 % Computer : n011.cluster.edu
% 0.20/5.49 % Model : x86_64 x86_64
% 0.20/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.49 % Memory : 8046.5625MB
% 0.20/5.49 % OS : Linux 6.8.0-71-generic
% 0.20/5.49 % CPULimit : 300
% 0.20/5.49 % WCLimit : 300
% 0.20/5.49 % DateTime : Sat Sep 26 11:42:04 UTC 2026
% 0.20/5.50 % CPUTime :
% 0.25/5.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.43/6.30 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.11/6.68 % [INFO] Parsing done (375ms).
% 2.51/6.70 % [INFO] Running in sequential loop mode.
% 3.02/7.14 % [INFO] eprover registered as external prover.
% 3.02/7.15 % [INFO] Scanning for conjecture ...
% 3.44/7.25 % [INFO] Found a conjecture (or negated_conjecture) and 139 axioms. Running axiom selection ...
% 3.67/7.35 % [INFO] Axiom selection finished. Selected 139 axioms (removed 0 axioms).
% 4.28/7.56 % [INFO] Problem is first-order (TPTP FOF).
% 4.28/7.59 % [INFO] Type checking passed.
% 4.28/7.59 % [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 ...
% 17.44/10.78 % External prover 'e' found a proof!
% 17.44/10.78 % [INFO] Killing All external provers ...
% 17.44/10.78 % Time passed: 5091ms (effective reasoning time: 4075ms)
% 17.44/10.78 % 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)>
% 17.44/10.79 % 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_range_main, 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_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, owl_bool_intersectionof_class_001, rdfs_class_instsub_resource, testcase_premise_fullish_009_Existential_Restriction_Entailments, rdfs_lv_def, 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
% 17.44/10.79 % No. of inferences in proof: 282
% 17.44/10.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5091 ms resp. 4075 ms w/o parsing
% 18.44/10.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.44/11.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------