TSTP Solution File: SWB012+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 : 600s
% DateTime : Tue Jul 19 19:13:14 EDT 2022
% Result : Theorem 1.40s 1.66s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 32
% Syntax : Number of formulae : 691 ( 263 unt; 26 typ; 0 def)
% Number of atoms : 14091 (3240 equ; 0 cnn)
% Maximal formula atoms : 15 ( 21 avg)
% Number of connectives : 38843 (6715 ~;6804 |; 128 &;25182 @)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 23 con; 0-7 aty)
% Number of variables : 3968 ( 0 ^3960 !; 8 ?;3968 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dat_str_alice,type,
dat_str_alice: $i ).
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_literal_plain,type,
literal_plain: $i > $i ).
thf(tp_sK1_BNODE_l1,type,
sK1_BNODE_l1: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: $i ).
thf(tp_sK3_SY25,type,
sK3_SY25: $i ).
thf(tp_sK4_SY27,type,
sK4_SY27: $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_uri_ex_PersonAttribute,type,
uri_ex_PersonAttribute: $i ).
thf(tp_uri_ex_alice,type,
uri_ex_alice: $i ).
thf(tp_uri_ex_name,type,
uri_ex_name: $i ).
thf(tp_uri_foaf_Person,type,
uri_foaf_Person: $i ).
thf(tp_uri_owl_Class,type,
uri_owl_Class: $i ).
thf(tp_uri_owl_DatatypeProperty,type,
uri_owl_DatatypeProperty: $i ).
thf(tp_uri_owl_FunctionalProperty,type,
uri_owl_FunctionalProperty: $i ).
thf(tp_uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
thf(tp_uri_owl_hasValue,type,
uri_owl_hasValue: $i ).
thf(tp_uri_owl_intersectionOf,type,
uri_owl_intersectionOf: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
thf(1,axiom,
? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
& ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
& ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
thf(2,axiom,
! [Z: $i,P: $i,A: $i] :
( ( ( iext @ uri_owl_hasValue @ Z @ A )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ( iext @ P @ X @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(3,axiom,
! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ C1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ C2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ C3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ( ic @ C1 )
& ( ic @ C2 )
& ( ic @ C3 )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( icext @ C1 @ X )
& ( icext @ C2 @ X )
& ( icext @ C3 @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(4,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(5,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(6,conjecture,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
thf(7,negated_conjecture,
( ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
& ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
& ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
& ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
& ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [Z: $i,P: $i,A: $i] :
( ( ( iext @ uri_owl_hasValue @ Z @ A )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ( iext @ P @ X @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ C1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ C2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ C3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
<=> ( ( ic @ Z )
& ( ic @ C1 )
& ( ic @ C2 )
& ( ic @ C3 )
& ! [X: $i] :
( ( icext @ Z @ X )
<=> ( ( icext @ C1 @ X )
& ( icext @ C2 @ X )
& ( icext @ C3 @ X ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(15,plain,
( ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[8]) ).
thf(16,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(18,plain,
( ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 )
& ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 )
& ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 )
& ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(19,plain,
( ( ! [Z: $i,P: $i,A: $i] :
( ~ ( iext @ uri_owl_hasValue @ Z @ A )
| ~ ( iext @ uri_owl_onProperty @ Z @ P )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( iext @ P @ X @ A ) )
& ! [X: $i] :
( ~ ( iext @ P @ X @ A )
| ( icext @ Z @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(20,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ( ( ~ ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ~ ( ic @ C3 )
| ( iext @ uri_owl_intersectionOf @ Z @ S1 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ~ ( icext @ C2 @ X )
| ~ ( icext @ C3 @ X )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C1 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C3 @ X ) ) ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ Z ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C1 ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C2 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(21,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(22,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(23,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(24,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(25,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ( ( ~ ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ~ ( ic @ C3 )
| ( iext @ uri_owl_intersectionOf @ Z @ S1 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ~ ( icext @ C2 @ X )
| ~ ( icext @ C3 @ X )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C1 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C3 @ X ) ) ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ Z ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C1 ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C2 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ! [Z: $i,P: $i,A: $i] :
( ~ ( iext @ uri_owl_hasValue @ Z @ A )
| ~ ( iext @ uri_owl_onProperty @ Z @ P )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( iext @ P @ X @ A ) )
& ! [X: $i] :
( ~ ( iext @ P @ X @ A )
| ( icext @ Z @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 )
& ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 )
& ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 )
& ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( iext @ uri_owl_hasValue @ SX0 @ SX2 )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( icext @ SX0 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( icext @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(30,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
| ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(31,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SX2 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX4 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX6 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SX2 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX4 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ( icext @ SX6 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX2 )
| ~ ( ic @ SX4 )
| ~ ( ic @ SX6 )
| ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( icext @ SX2 @ SX7 )
| ~ ( icext @ SX4 @ SX7 )
| ~ ( icext @ SX6 @ SX7 )
| ( icext @ SX0 @ SX7 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX4 @ SX7 ) ) )
| ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX6 @ SX7 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX2 ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX4 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX6 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(33,plain,
! [SV1: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SY28 )
| ! [SY30: $i] :
~ ( iext @ SV1 @ SY29 @ SY30 )
| ( icext @ SY28 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(34,plain,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV2: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ~ ( iext @ uri_owl_hasValue @ SV2 @ SY32 )
| ~ ( iext @ uri_owl_onProperty @ SV2 @ SY31 )
| ~ ( ~ ! [SY33: $i] :
( ~ ( icext @ SV2 @ SY33 )
| ( iext @ SY31 @ SY33 @ SY32 ) )
| ~ ! [SY34: $i] :
( ~ ( iext @ SY31 @ SY34 @ SY32 )
| ( icext @ SV2 @ SY34 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
| ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV3: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i,SY38: $i] :
~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SY39 )
| ~ ( iext @ uri_rdf_first @ SY39 @ SY40 )
| ~ ( iext @ uri_rdf_rest @ SY39 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SY36 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ~ ( icext @ SY38 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ~ ( icext @ SY40 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SY36 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) ) )
| ~ ( ( icext @ SY38 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) ) ) )
| ~ ( ( icext @ SY40 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SY36 )
| ~ ( ic @ SY38 )
| ~ ( ic @ SY40 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 ) )
| ~ ~ ( ~ ! [SY41: $i,SY42: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SY41 )
| ~ ( iext @ uri_rdf_first @ SY41 @ SY42 )
| ~ ( iext @ uri_rdf_rest @ SY41 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 )
| ~ ( ~ ! [SY43: $i] :
( ~ ( icext @ SY36 @ SY43 )
| ~ ( icext @ SY38 @ SY43 )
| ~ ( icext @ SY42 @ SY43 )
| ( icext @ SV3 @ SY43 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY44: $i] :
( ~ ( icext @ SV3 @ SY44 )
| ( icext @ SY36 @ SY44 ) )
| ~ ! [SY45: $i] :
( ~ ( icext @ SV3 @ SY45 )
| ( icext @ SY38 @ SY45 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY42 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 )
| ( ic @ SV3 ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 )
| ( ic @ SY36 ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 )
| ( ic @ SY38 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ~ ( iext @ uri_rdf_first @ SY35 @ SY36 )
| ~ ( iext @ uri_rdf_rest @ SY35 @ SY37 )
| ~ ( iext @ uri_rdf_first @ SY37 @ SY38 )
| ~ ( iext @ uri_rdf_rest @ SY37 @ SY53 )
| ~ ( iext @ uri_rdf_first @ SY53 @ SY54 )
| ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SY35 )
| ( ic @ SY54 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY55: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
| ! [SY30: $i] :
~ ( iext @ SV1 @ SY55 @ SY30 )
| ( icext @ SV4 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV5: $i,SV2: $i] :
( ( ! [SY57: $i] :
( ~ ( iext @ uri_owl_hasValue @ SV2 @ SY57 )
| ~ ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
| ~ ( ~ ! [SY58: $i] :
( ~ ( icext @ SV2 @ SY58 )
| ( iext @ SV5 @ SY58 @ SY57 ) )
| ~ ! [SY59: $i] :
( ~ ( iext @ SV5 @ SY59 @ SY57 )
| ( icext @ SV2 @ SY59 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(41,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV3: $i,SV6: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
~ ( ~ ! [SY63: $i,SY64: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY63 )
| ~ ( iext @ uri_rdf_first @ SY63 @ SY64 )
| ~ ( iext @ uri_rdf_rest @ SY63 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SY60 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ~ ( icext @ SY62 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ~ ( icext @ SY64 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SY60 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SY62 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY64 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY64 @ SY63 @ SY62 @ SY61 @ SY60 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SY60 )
| ~ ( ic @ SY62 )
| ~ ( ic @ SY64 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY65: $i,SY66: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY65 )
| ~ ( iext @ uri_rdf_first @ SY65 @ SY66 )
| ~ ( iext @ uri_rdf_rest @ SY65 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY43: $i] :
( ~ ( icext @ SY60 @ SY43 )
| ~ ( icext @ SY62 @ SY43 )
| ~ ( icext @ SY66 @ SY43 )
| ( icext @ SV3 @ SY43 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY44: $i] :
( ~ ( icext @ SV3 @ SY44 )
| ( icext @ SY60 @ SY44 ) )
| ~ ! [SY45: $i] :
( ~ ( icext @ SV3 @ SY45 )
| ( icext @ SY62 @ SY45 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY66 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY71: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY71 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY71 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY71 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY73: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY73 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY73 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY60 ) ) )
| ~ ( ! [SY75: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY75 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY75 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY75 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY62 ) ) )
| ~ ! [SY77: $i,SY78: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SY60 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY61 )
| ~ ( iext @ uri_rdf_first @ SY61 @ SY62 )
| ~ ( iext @ uri_rdf_rest @ SY61 @ SY77 )
| ~ ( iext @ uri_rdf_first @ SY77 @ SY78 )
| ~ ( iext @ uri_rdf_rest @ SY77 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY78 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(46,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
| ! [SY79: $i] :
~ ( iext @ SV1 @ SV7 @ SY79 )
| ( icext @ SV4 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV5: $i,SV8: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
| ~ ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
| ~ ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(49,plain,
( ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(50,plain,
! [SV3: $i,SV9: $i,SV6: $i] :
( ( ! [SY82: $i,SY83: $i] :
~ ( ~ ! [SY84: $i,SY85: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY84 )
| ~ ( iext @ uri_rdf_first @ SY84 @ SY85 )
| ~ ( iext @ uri_rdf_rest @ SY84 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY83 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY85 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SY83 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY85 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY85 @ SY84 @ SY83 @ SY82 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SY83 )
| ~ ( ic @ SY85 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY86 )
| ~ ( iext @ uri_rdf_first @ SY86 @ SY87 )
| ~ ( iext @ uri_rdf_rest @ SY86 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY88: $i] :
( ~ ( icext @ SV9 @ SY88 )
| ~ ( icext @ SY83 @ SY88 )
| ~ ( icext @ SY87 @ SY88 )
| ( icext @ SV3 @ SY88 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY45: $i] :
( ~ ( icext @ SV3 @ SY45 )
| ( icext @ SY83 @ SY45 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY87 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY92: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY92 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY92 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY92 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY94: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY94 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY94 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY94 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY96: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY96 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY96 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY96 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY83 ) ) )
| ~ ! [SY98: $i,SY99: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SY82 )
| ~ ( iext @ uri_rdf_first @ SY82 @ SY83 )
| ~ ( iext @ uri_rdf_rest @ SY82 @ SY98 )
| ~ ( iext @ uri_rdf_first @ SY98 @ SY99 )
| ~ ( iext @ uri_rdf_rest @ SY98 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY99 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
| ! [SY79: $i] :
~ ( iext @ SV1 @ SV7 @ SY79 ) )
= $true )
| ( ( icext @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
| ~ ( iext @ uri_owl_onProperty @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV3: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY100: $i] :
~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY101 )
| ~ ( iext @ uri_rdf_first @ SY101 @ SY102 )
| ~ ( iext @ uri_rdf_rest @ SY101 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY100 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY102 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SY100 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY102 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY102 @ SY101 @ SY100 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SY100 )
| ~ ( ic @ SY102 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY103: $i,SY104: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY103 )
| ~ ( iext @ uri_rdf_first @ SY103 @ SY104 )
| ~ ( iext @ uri_rdf_rest @ SY103 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY88: $i] :
( ~ ( icext @ SV9 @ SY88 )
| ~ ( icext @ SY100 @ SY88 )
| ~ ( icext @ SY104 @ SY88 )
| ( icext @ SV3 @ SY88 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY45: $i] :
( ~ ( icext @ SV3 @ SY45 )
| ( icext @ SY100 @ SY45 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY104 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY109: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY109 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY109 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY109 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY111: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY111 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY111 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY111 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY113: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY113 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY113 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY113 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY100 ) ) )
| ~ ! [SY115: $i,SY116: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SY100 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY115 )
| ~ ( iext @ uri_rdf_first @ SY115 @ SY116 )
| ~ ( iext @ uri_rdf_rest @ SY115 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY116 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV11: $i] :
( ( ! [SY117: $i] :
( ~ ( icext @ SY117 @ SV11 )
| ( iext @ uri_rdf_type @ SV11 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV12: $i] :
( ( ! [SY118: $i] :
( ~ ( iext @ uri_rdf_type @ SV12 @ SY118 )
| ( icext @ SY118 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY79: $i] :
~ ( iext @ SV1 @ SV7 @ SY79 ) )
= $true )
| ( ( icext @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV5: $i,SV8: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(62,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY119 )
| ~ ( iext @ uri_rdf_first @ SY119 @ SY120 )
| ~ ( iext @ uri_rdf_rest @ SY119 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SY120 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV11: $i,SV14: $i] :
( ( ~ ( icext @ SV14 @ SV11 )
| ( iext @ uri_rdf_type @ SV11 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV15: $i,SV12: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV12 @ SV15 )
| ( icext @ SV15 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
= $false )
| ( ( ! [SY79: $i] :
~ ( iext @ SV1 @ SV7 @ SY79 ) )
= $true )
| ( ( icext @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV5: $i,SV8: $i,SV2: $i] :
( ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY119 )
| ~ ( iext @ uri_rdf_first @ SY119 @ SY120 )
| ~ ( iext @ uri_rdf_rest @ SY119 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SY120 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
| ~ ~ ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV11: $i,SV14: $i] :
( ( ( ~ ( icext @ SV14 @ SV11 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV11 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV15: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV12 @ SV15 ) )
= $true )
| ( ( icext @ SV15 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV4: $i,SV16: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV7 @ SV16 ) )
= $true )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
= $false )
| ( ( icext @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( ~ ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY119 )
| ~ ( iext @ uri_rdf_first @ SY119 @ SY120 )
| ~ ( iext @ uri_rdf_rest @ SY119 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SY120 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(78,plain,
! [SV11: $i,SV14: $i] :
( ( ( icext @ SV14 @ SV11 )
= $false )
| ( ( iext @ uri_rdf_type @ SV11 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV15: $i,SV12: $i] :
( ( ( iext @ uri_rdf_type @ SV12 @ SV15 )
= $false )
| ( ( icext @ SV15 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV4: $i,SV16: $i,SV7: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV7 @ SV16 )
= $false )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV4 )
= $false )
| ( ( icext @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) )
| ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(83,plain,
( ( ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY119: $i,SY120: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY119 )
| ~ ( iext @ uri_rdf_first @ SY119 @ SY120 )
| ~ ( iext @ uri_rdf_rest @ SY119 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY120 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY120 @ SY119 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SY120 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( ~ ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(88,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(89,plain,
( ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV3: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY135: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 )
| ~ ( iext @ uri_rdf_first @ SV17 @ SY135 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SY135 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SY135 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SY135 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SY135 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ! [SY80: $i] :
( ~ ( icext @ SV2 @ SY80 )
| ( iext @ SV5 @ SY80 @ SV8 ) ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV2: $i,SV8: $i,SV5: $i] :
( ( ( ! [SY81: $i] :
( ~ ( iext @ SV5 @ SY81 @ SV8 )
| ( icext @ SV2 @ SY81 ) ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(94,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 )
| ~ ( iext @ uri_rdf_first @ SV17 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(96,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(97,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV8: $i,SV5: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV19 )
| ( iext @ SV5 @ SV19 @ SV8 ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(99,plain,
! [SV2: $i,SV8: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ SV20 @ SV8 )
| ( icext @ SV2 @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(100,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(101,plain,
( ( ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(102,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 )
| ~ ( iext @ uri_rdf_first @ SV17 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY121 )
| ~ ( iext @ uri_rdf_first @ SY121 @ SY122 )
| ~ ( iext @ uri_rdf_rest @ SY121 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY122 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY122 @ SY46 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(104,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(105,plain,
! [SV8: $i,SV5: $i,SV19: $i,SV2: $i] :
( ( ( ~ ( icext @ SV2 @ SV19 ) )
= $true )
| ( ( iext @ SV5 @ SV19 @ SV8 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(106,plain,
! [SV2: $i,SV8: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( iext @ SV5 @ SV20 @ SV8 ) )
= $true )
| ( ( icext @ SV2 @ SV20 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(107,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(108,plain,
( ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(109,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 )
| ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(110,plain,
! [SV3: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY136: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 )
| ~ ( iext @ uri_rdf_first @ SV21 @ SY136 )
| ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY123: $i] :
( ~ ( icext @ SV9 @ SY123 )
| ~ ( icext @ SV13 @ SY123 )
| ~ ( icext @ SY136 @ SY123 )
| ( icext @ SV3 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY46: $i] :
( ~ ( icext @ SV3 @ SY46 )
| ( icext @ SY136 @ SY46 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV8: $i,SV5: $i,SV19: $i,SV2: $i] :
( ( ( icext @ SV2 @ SV19 )
= $false )
| ( ( iext @ SV5 @ SV19 @ SV8 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV2: $i,SV8: $i,SV20: $i,SV5: $i] :
( ( ( iext @ SV5 @ SV20 @ SV8 )
= $false )
| ( ( icext @ SV2 @ SV20 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV2 @ SV8 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(114,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(115,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 )
| ~ ( iext @ uri_rdf_first @ SV21 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(118,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(119,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(120,plain,
( ( ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 )
| ~ ( iext @ uri_rdf_first @ SV21 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY133 )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY134 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(125,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
( ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 )
| ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
| ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV3: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY145: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SY145 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(131,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(133,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(135,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(136,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV24 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(138,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(142,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(143,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV24 )
| ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(144,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(145,plain,
( ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(146,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
| ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ! [SY131: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY131 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY131 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY131 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(151,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV3: $i,SV18: $i,SV17: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(153,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(155,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ~ ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(156,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 )
| ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 )
| ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(157,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(158,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(159,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(160,plain,
! [SV3: $i,SV18: $i,SV13: $i,SV9: $i,SV6: $i,SV17: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(161,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(162,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(163,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(164,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 )
| ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(165,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(166,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(167,plain,
( ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(168,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV18: $i,SV17: $i] :
( ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(169,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ! [SY127: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY127 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY127 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(171,plain,
! [SV3: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ! [SY129: $i] :
( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY129 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY129 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY129 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(174,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV3: $i,SV18: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV17: $i] :
( ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 )
| ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV3: $i,SV22: $i,SV21: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 )
| ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 )
| ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 )
| ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(181,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(182,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(183,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
| ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV3: $i,SV22: $i,SV13: $i,SV9: $i,SV6: $i,SV21: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV21 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 )
| ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 )
| ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(190,plain,
( ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(191,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(192,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV22: $i,SV21: $i] :
( ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(199,plain,
! [SV3: $i,SV22: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV21: $i] :
( ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(200,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(201,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 )
| ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV3: $i,SV24: $i,SV23: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(204,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(205,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(206,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(207,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(208,plain,
! [SV10: $i,SV21: $i,SV22: $i,SV13: $i,SV9: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(209,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(210,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 )
| ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(211,plain,
! [SV3: $i,SV25: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(212,plain,
! [SV3: $i,SV24: $i,SV13: $i,SV9: $i,SV6: $i,SV23: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(213,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(214,plain,
( ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(215,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(216,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(217,plain,
! [SV10: $i,SV21: $i,SV22: $i,SV13: $i,SV9: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(218,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(219,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(220,plain,
! [SV3: $i,SV25: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV25 ) )
= $true )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV24: $i,SV23: $i] :
( ( ( iext @ uri_rdf_first @ SV23 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(222,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(223,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(224,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
| ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(225,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV9: $i] :
( ( ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV10: $i,SV9: $i,SV6: $i] :
( ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV6 @ SV10 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV3: $i,SV13: $i,SV9: $i,SV6: $i,SV25: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ! [SY146: $i] :
~ ( iext @ uri_rdf_first @ SV25 @ SY146 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV3: $i,SV24: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV23: $i] :
( ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV23 @ SV24 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(230,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(231,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(232,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(234,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i] :
( ( ( ~ ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(235,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV9: $i] :
( ( ( ~ ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(236,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(237,plain,
! [SV3: $i,SV26: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(238,plain,
! [SV3: $i,SV27: $i,SV13: $i,SV9: $i,SV10: $i,SV6: $i] :
( ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(239,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV28: $i,SV25: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV25 @ SV28 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(240,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV23: $i,SV24: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true )
| ( ( ic @ SV24 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(241,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(242,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(243,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(245,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i] :
( ( ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(246,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV9: $i] :
( ( ( ! [SY141: $i] :
( ~ ( icext @ SV9 @ SY141 )
| ~ ( icext @ SV13 @ SY141 )
| ~ ( icext @ SV22 @ SY141 )
| ( icext @ SV3 @ SY141 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(247,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(248,plain,
! [SV3: $i,SV26: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV26 ) )
= $true )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(249,plain,
! [SV3: $i,SV27: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV27 ) )
= $true )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(250,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV28: $i,SV25: $i] :
( ( ( iext @ uri_rdf_first @ SV25 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(251,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV23: $i,SV24: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( ic @ SV24 )
= $true )
| ( ( iext @ uri_rdf_first @ SV23 @ SV24 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV23 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(252,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(253,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(254,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
| ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i] :
( ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV29: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ SV29 )
| ~ ( icext @ SV13 @ SV29 )
| ~ ( icext @ SV22 @ SV29 )
| ( icext @ SV3 @ SV29 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
| ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(258,plain,
! [SV3: $i,SV13: $i,SV9: $i,SV6: $i,SV26: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ! [SY147: $i] :
~ ( iext @ uri_rdf_first @ SV26 @ SY147 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(259,plain,
! [SV3: $i,SV13: $i,SV9: $i,SV6: $i,SV27: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( ! [SY148: $i] :
~ ( iext @ uri_rdf_first @ SV27 @ SY148 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(260,plain,
! [SV3: $i,SV28: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV25: $i] :
( ( ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV25 @ SV28 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(261,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(262,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(263,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i] :
( ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(264,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ~ ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(265,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i] :
( ( ( ~ ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(266,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(267,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV29: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ SV29 )
| ~ ( icext @ SV13 @ SV29 )
| ~ ( icext @ SV22 @ SV29 ) )
= $true )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(268,plain,
! [SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(269,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV3: $i] :
( ( ( ~ ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(270,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV30: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV26 @ SV30 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV31: $i,SV27: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV27 @ SV31 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(272,plain,
! [SV9: $i,SV10: $i,SV28: $i,SV25: $i,SV13: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true )
| ( ( ic @ SV13 )
= $true )
| ( ( iext @ uri_rdf_first @ SV25 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(273,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(274,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(275,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i] :
( ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(276,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(277,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i] :
( ( ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
| ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(278,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(279,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV29: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ SV29 )
| ~ ( icext @ SV13 @ SV29 ) )
= $true )
| ( ( ~ ( icext @ SV22 @ SV29 ) )
= $true )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(280,plain,
! [SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(281,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV3: $i] :
( ( ( ! [SY144: $i] :
( ~ ( icext @ SV3 @ SY144 )
| ( icext @ SV22 @ SY144 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(282,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV30: $i,SV26: $i] :
( ( ( iext @ uri_rdf_first @ SV26 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(283,plain,
! [SV3: $i,SV9: $i,SV6: $i,SV13: $i,SV10: $i,SV31: $i,SV27: $i] :
( ( ( iext @ uri_rdf_first @ SV27 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(284,plain,
! [SV9: $i,SV10: $i,SV28: $i,SV25: $i,SV13: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( ic @ SV13 )
= $true )
| ( ( iext @ uri_rdf_first @ SV25 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV25 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV25 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(285,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(286,plain,
! [SV6: $i,SV9: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV3: $i] :
( ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(287,plain,
! [SV3: $i,SV6: $i,SV10: $i,SV13: $i,SV17: $i,SV18: $i,SV9: $i] :
( ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV3: $i,SV6: $i,SV9: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i] :
( ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 )
| ~ ( ic @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV29: $i,SV9: $i] :
( ( ( ~ ( icext @ SV9 @ SV29 ) )
= $true )
| ( ( ~ ( icext @ SV13 @ SV29 ) )
= $true )
| ( ( ~ ( icext @ SV22 @ SV29 ) )
= $true )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) )
| ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV32 )
| ( icext @ SV22 @ SV32 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(293,plain,
! [SV3: $i,SV30: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV26: $i] :
( ( ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV30 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(294,plain,
! [SV3: $i,SV31: $i,SV13: $i,SV9: $i,SV6: $i,SV10: $i,SV27: $i] :
( ( ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV27 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
| ( ic @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(295,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(296,plain,
( ( ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(297,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(298,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(299,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(300,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(301,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV13: $i,SV29: $i,SV9: $i] :
( ( ( icext @ SV9 @ SV29 )
= $false )
| ( ( ~ ( icext @ SV13 @ SV29 ) )
= $true )
| ( ( ~ ( icext @ SV22 @ SV29 ) )
= $true )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(302,plain,
! [SV13: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV9: $i,SV3: $i] :
( ( ( ~ ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(303,plain,
! [SV9: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV3: $i] :
( ( ( ~ ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(304,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV32: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV32 ) )
= $true )
| ( ( icext @ SV22 @ SV32 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(305,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV30: $i,SV26: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true )
| ( ( ic @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV26 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(306,plain,
! [SV13: $i,SV10: $i,SV31: $i,SV27: $i,SV9: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 ) )
= $true )
| ( ( ic @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV27 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(307,plain,
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(308,plain,
( ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(309,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(310,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(311,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 )
| ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(312,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV3: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(313,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV22: $i,SV9: $i,SV29: $i,SV13: $i] :
( ( ( icext @ SV13 @ SV29 )
= $false )
| ( ( icext @ SV9 @ SV29 )
= $false )
| ( ( ~ ( icext @ SV22 @ SV29 ) )
= $true )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(314,plain,
! [SV13: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV9: $i,SV3: $i] :
( ( ( ! [SY89: $i] :
( ~ ( icext @ SV3 @ SY89 )
| ( icext @ SV9 @ SY89 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(315,plain,
! [SV9: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV3: $i] :
( ( ( ! [SY125: $i] :
( ~ ( icext @ SV3 @ SY125 )
| ( icext @ SV13 @ SY125 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(316,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV21: $i,SV6: $i,SV22: $i,SV32: $i,SV3: $i] :
( ( ( icext @ SV3 @ SV32 )
= $false )
| ( ( icext @ SV22 @ SV32 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(317,plain,
! [SV9: $i,SV13: $i,SV10: $i,SV30: $i,SV26: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( ic @ SV3 )
= $true )
| ( ( iext @ uri_rdf_first @ SV26 @ SV30 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(318,plain,
! [SV13: $i,SV10: $i,SV31: $i,SV27: $i,SV9: $i,SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( ic @ SV9 )
= $true )
| ( ( iext @ uri_rdf_first @ SV27 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV27 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV27 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(319,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(320,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(321,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ~ ( ic @ SV3 ) )
= $true )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(322,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV9: $i,SV3: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(323,plain,
! [SV10: $i,SV21: $i,SV6: $i,SV3: $i,SV13: $i,SV9: $i,SV29: $i,SV22: $i] :
( ( ( icext @ SV22 @ SV29 )
= $false )
| ( ( icext @ SV9 @ SV29 )
= $false )
| ( ( icext @ SV13 @ SV29 )
= $false )
| ( ( icext @ SV3 @ SV29 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(324,plain,
! [SV13: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV9: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV33 )
| ( icext @ SV9 @ SV33 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(325,plain,
! [SV9: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV34: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV34 )
| ( icext @ SV13 @ SV34 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(326,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(327,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(328,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV9: $i,SV3: $i] :
( ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(329,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV13: $i,SV3: $i,SV9: $i,SV18: $i] :
( ( ( ic @ SV18 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV13: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV9: $i,SV33: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV33 ) )
= $true )
| ( ( icext @ SV9 @ SV33 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(331,plain,
! [SV9: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV34: $i,SV3: $i] :
( ( ( ~ ( icext @ SV3 @ SV34 ) )
= $true )
| ( ( icext @ SV13 @ SV34 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(332,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV3: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(333,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV3: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(334,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV13: $i,SV3: $i,SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(335,plain,
! [SV13: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV9: $i,SV33: $i,SV3: $i] :
( ( ( icext @ SV3 @ SV33 )
= $false )
| ( ( icext @ SV9 @ SV33 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(336,plain,
! [SV9: $i,SV10: $i,SV22: $i,SV21: $i,SV6: $i,SV13: $i,SV34: $i,SV3: $i] :
( ( ( icext @ SV3 @ SV34 )
= $false )
| ( ( icext @ SV13 @ SV34 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_first @ SV21 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV21 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV21 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(337,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV9: $i,SV3: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(338,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV9: $i,SV3: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(339,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV18: $i,SV9: $i,SV3: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ~ ( ic @ SV18 ) )
= $true )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(340,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV13: $i,SV3: $i,SV9: $i,SV18: $i] :
( ( ( ic @ SV18 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( icext @ SV18 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(341,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV13: $i,SV3: $i,SV9: $i,SV18: $i] :
( ( ( ic @ SV18 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV9 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(342,plain,
! [SV6: $i,SV10: $i,SV17: $i,SV13: $i,SV3: $i,SV9: $i,SV18: $i] :
( ( ( ic @ SV18 )
= $false )
| ( ( ic @ SV9 )
= $false )
| ( ( ic @ SV3 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( icext @ SV3 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( icext @ SV13 @ ( sK5_X @ SV18 @ SV17 @ SV13 @ SV10 @ SV9 @ SV6 @ SV3 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV3 @ SV6 )
= $true )
| ( ( iext @ uri_rdf_first @ SV17 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV6 @ SV9 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV6 @ SV10 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(343,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,342,341,340,336,335,329,323,318,317,316,308,307,284,274,251,242,214,190,167,145,126,113,112,108,89,80,79,78,69,49]) ).
thf(344,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(345,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(346,plain,
( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i] :
( ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ( ( ~ ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ~ ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C1 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C2 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) )
& ( ( icext @ C3 @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) )
| ( icext @ Z @ ( sK5_X @ C3 @ S3 @ C2 @ S2 @ C1 @ S1 @ Z ) ) ) )
| ~ ( ic @ Z )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ~ ( ic @ C3 )
| ( iext @ uri_owl_intersectionOf @ Z @ S1 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ~ ( icext @ C2 @ X )
| ~ ( icext @ C3 @ X )
| ( icext @ Z @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C1 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( icext @ C3 @ X ) ) ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ Z ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C1 ) )
& ( ! [S3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ! [C3: $i] :
~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C2 ) )
& ! [S3: $i,C3: $i] :
( ~ ( iext @ uri_rdf_first @ S1 @ C1 )
| ~ ( iext @ uri_rdf_rest @ S1 @ S2 )
| ~ ( iext @ uri_rdf_first @ S2 @ C2 )
| ~ ( iext @ uri_rdf_rest @ S2 @ S3 )
| ~ ( iext @ uri_rdf_first @ S3 @ C3 )
| ~ ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ Z @ S1 )
| ( ic @ C3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(347,plain,
( ( ! [Z: $i,P: $i,A: $i] :
( ~ ( iext @ uri_owl_hasValue @ Z @ A )
| ~ ( iext @ uri_owl_onProperty @ Z @ P )
| ( ! [X: $i] :
( ~ ( icext @ Z @ X )
| ( iext @ P @ X @ A ) )
& ! [X: $i] :
( ~ ( iext @ P @ X @ A )
| ( icext @ Z @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(348,plain,
( ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
& ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 )
& ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty )
& ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 )
& ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty )
& ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 )
& ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 )
& ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil )
& ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain )
& ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person )
& ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
& ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(349,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(350,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( iext @ uri_owl_hasValue @ SX0 @ SX2 )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( icext @ SX0 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( icext @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(351,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SX2 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX4 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX6 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SX2 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX4 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( ( icext @ SX6 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( icext @ SX0 @ ( sK5_X @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX2 )
| ~ ( ic @ SX4 )
| ~ ( ic @ SX6 )
| ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ~ ( ~ ! [SX7: $i] :
( ~ ( icext @ SX2 @ SX7 )
| ~ ( icext @ SX4 @ SX7 )
| ~ ( icext @ SX6 @ SX7 )
| ( icext @ SX0 @ SX7 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX2 @ SX7 ) )
| ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX4 @ SX7 ) ) )
| ~ ! [SX7: $i] :
( ~ ( icext @ SX0 @ SX7 )
| ( icext @ SX6 @ SX7 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX2 ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX4 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
| ( ic @ SX6 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(352,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
| ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(353,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(354,plain,
! [SV35: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV35 @ SY149 )
| ! [SY151: $i] :
~ ( iext @ SV35 @ SY150 @ SY151 )
| ( icext @ SY149 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(355,plain,
( ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(356,plain,
! [SV36: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ( iext @ uri_owl_hasValue @ SV36 @ SY153 )
| ~ ( iext @ uri_owl_onProperty @ SV36 @ SY152 )
| ~ ( ~ ! [SY154: $i] :
( ~ ( icext @ SV36 @ SY154 )
| ( iext @ SY152 @ SY154 @ SY153 ) )
| ~ ! [SY155: $i] :
( ~ ( iext @ SY152 @ SY155 @ SY153 )
| ( icext @ SV36 @ SY155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(357,plain,
! [SV37: $i] :
( ( ! [SY156: $i,SY157: $i,SY158: $i,SY159: $i] :
~ ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SY160 )
| ~ ( iext @ uri_rdf_first @ SY160 @ SY161 )
| ~ ( iext @ uri_rdf_rest @ SY160 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SY157 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ~ ( icext @ SY159 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ~ ( icext @ SY161 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SY157 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) ) )
| ~ ( ( icext @ SY159 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) ) ) )
| ~ ( ( icext @ SY161 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY161 @ SY160 @ SY159 @ SY158 @ SY157 @ SY156 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SY157 )
| ~ ( ic @ SY159 )
| ~ ( ic @ SY161 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SY162 )
| ~ ( iext @ uri_rdf_first @ SY162 @ SY163 )
| ~ ( iext @ uri_rdf_rest @ SY162 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 )
| ~ ( ~ ! [SY164: $i] :
( ~ ( icext @ SY157 @ SY164 )
| ~ ( icext @ SY159 @ SY164 )
| ~ ( icext @ SY163 @ SY164 )
| ( icext @ SV37 @ SY164 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY165: $i] :
( ~ ( icext @ SV37 @ SY165 )
| ( icext @ SY157 @ SY165 ) )
| ~ ! [SY166: $i] :
( ~ ( icext @ SV37 @ SY166 )
| ( icext @ SY159 @ SY166 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY163 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 )
| ( ic @ SV37 ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 )
| ( ic @ SY157 ) ) )
| ~ ( ! [SX5: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SX5 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SX5 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 )
| ( ic @ SY159 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( iext @ uri_rdf_first @ SY156 @ SY157 )
| ~ ( iext @ uri_rdf_rest @ SY156 @ SY158 )
| ~ ( iext @ uri_rdf_first @ SY158 @ SY159 )
| ~ ( iext @ uri_rdf_rest @ SY158 @ SY174 )
| ~ ( iext @ uri_rdf_first @ SY174 @ SY175 )
| ~ ( iext @ uri_rdf_rest @ SY174 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SY156 )
| ( ic @ SY175 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(358,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
| ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(359,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(360,plain,
! [SV38: $i,SV35: $i] :
( ( ! [SY176: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
| ! [SY151: $i] :
~ ( iext @ SV35 @ SY176 @ SY151 )
| ( icext @ SV38 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(361,plain,
! [SV39: $i,SV36: $i] :
( ( ! [SY178: $i] :
( ~ ( iext @ uri_owl_hasValue @ SV36 @ SY178 )
| ~ ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
| ~ ( ~ ! [SY179: $i] :
( ~ ( icext @ SV36 @ SY179 )
| ( iext @ SV39 @ SY179 @ SY178 ) )
| ~ ! [SY180: $i] :
( ~ ( iext @ SV39 @ SY180 @ SY178 )
| ( icext @ SV36 @ SY180 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(362,plain,
! [SV37: $i,SV40: $i] :
( ( ! [SY181: $i,SY182: $i,SY183: $i] :
~ ( ~ ! [SY184: $i,SY185: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY184 )
| ~ ( iext @ uri_rdf_first @ SY184 @ SY185 )
| ~ ( iext @ uri_rdf_rest @ SY184 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SY181 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ~ ( icext @ SY183 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ~ ( icext @ SY185 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SY181 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SY183 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY185 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY185 @ SY184 @ SY183 @ SY182 @ SY181 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SY181 )
| ~ ( ic @ SY183 )
| ~ ( ic @ SY185 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
| ~ ~ ( ~ ! [SY186: $i,SY187: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY186 )
| ~ ( iext @ uri_rdf_first @ SY186 @ SY187 )
| ~ ( iext @ uri_rdf_rest @ SY186 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY164: $i] :
( ~ ( icext @ SY181 @ SY164 )
| ~ ( icext @ SY183 @ SY164 )
| ~ ( icext @ SY187 @ SY164 )
| ( icext @ SV37 @ SY164 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY165: $i] :
( ~ ( icext @ SV37 @ SY165 )
| ( icext @ SY181 @ SY165 ) )
| ~ ! [SY166: $i] :
( ~ ( icext @ SV37 @ SY166 )
| ( icext @ SY183 @ SY166 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY187 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY192: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY192 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY192 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY192 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY194: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY194 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY194 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY194 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY181 ) ) )
| ~ ( ! [SY196: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY196 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY196 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY196 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY183 ) ) )
| ~ ! [SY198: $i,SY199: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SY181 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY182 )
| ~ ( iext @ uri_rdf_first @ SY182 @ SY183 )
| ~ ( iext @ uri_rdf_rest @ SY182 @ SY198 )
| ~ ( iext @ uri_rdf_first @ SY198 @ SY199 )
| ~ ( iext @ uri_rdf_rest @ SY198 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY199 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(363,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(364,plain,
( ( ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(365,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(366,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(367,plain,
! [SV41: $i,SV38: $i,SV35: $i] :
( ( ~ ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
| ! [SY200: $i] :
~ ( iext @ SV35 @ SV41 @ SY200 )
| ( icext @ SV38 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(368,plain,
! [SV39: $i,SV42: $i,SV36: $i] :
( ( ~ ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
| ~ ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
| ~ ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(369,plain,
! [SV37: $i,SV43: $i,SV40: $i] :
( ( ! [SY203: $i,SY204: $i] :
~ ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY205 )
| ~ ( iext @ uri_rdf_first @ SY205 @ SY206 )
| ~ ( iext @ uri_rdf_rest @ SY205 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY204 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY206 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SY204 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY206 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY206 @ SY205 @ SY204 @ SY203 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SY204 )
| ~ ( ic @ SY206 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
| ~ ~ ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY207 )
| ~ ( iext @ uri_rdf_first @ SY207 @ SY208 )
| ~ ( iext @ uri_rdf_rest @ SY207 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY209: $i] :
( ~ ( icext @ SV43 @ SY209 )
| ~ ( icext @ SY204 @ SY209 )
| ~ ( icext @ SY208 @ SY209 )
| ( icext @ SV37 @ SY209 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY166: $i] :
( ~ ( icext @ SV37 @ SY166 )
| ( icext @ SY204 @ SY166 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY208 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY213: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY213 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY213 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY213 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY215: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY215 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY215 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY215 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY217: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY217 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY217 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY217 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY204 ) ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SY203 )
| ~ ( iext @ uri_rdf_first @ SY203 @ SY204 )
| ~ ( iext @ uri_rdf_rest @ SY203 @ SY219 )
| ~ ( iext @ uri_rdf_first @ SY219 @ SY220 )
| ~ ( iext @ uri_rdf_rest @ SY219 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY220 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(370,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(371,plain,
( ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(372,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(373,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(374,plain,
! [SV41: $i,SV38: $i,SV35: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
| ! [SY200: $i] :
~ ( iext @ SV35 @ SV41 @ SY200 ) )
= $true )
| ( ( icext @ SV38 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(375,plain,
! [SV39: $i,SV42: $i,SV36: $i] :
( ( ( ~ ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
| ~ ( iext @ uri_owl_onProperty @ SV36 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(376,plain,
! [SV37: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY221: $i] :
~ ( ~ ! [SY222: $i,SY223: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY222 )
| ~ ( iext @ uri_rdf_first @ SY222 @ SY223 )
| ~ ( iext @ uri_rdf_rest @ SY222 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY221 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY223 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SY221 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY223 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY223 @ SY222 @ SY221 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SY221 )
| ~ ( ic @ SY223 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
| ~ ~ ( ~ ! [SY224: $i,SY225: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY224 )
| ~ ( iext @ uri_rdf_first @ SY224 @ SY225 )
| ~ ( iext @ uri_rdf_rest @ SY224 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY209: $i] :
( ~ ( icext @ SV43 @ SY209 )
| ~ ( icext @ SY221 @ SY209 )
| ~ ( icext @ SY225 @ SY209 )
| ( icext @ SV37 @ SY209 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY166: $i] :
( ~ ( icext @ SV37 @ SY166 )
| ( icext @ SY221 @ SY166 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY225 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY230: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY230 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY230 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY230 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY232: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY232 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY232 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY232 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY234: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY234 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY234 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY234 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY221 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SY221 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY236 )
| ~ ( iext @ uri_rdf_first @ SY236 @ SY237 )
| ~ ( iext @ uri_rdf_rest @ SY236 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY237 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(377,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
| ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(378,plain,
! [SV45: $i] :
( ( ! [SY238: $i] :
( ~ ( icext @ SY238 @ SV45 )
| ( iext @ uri_rdf_type @ SV45 @ SY238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(379,plain,
! [SV46: $i] :
( ( ! [SY239: $i] :
( ~ ( iext @ uri_rdf_type @ SV46 @ SY239 )
| ( icext @ SY239 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(380,plain,
! [SV41: $i,SV38: $i,SV35: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV35 @ SV38 ) )
= $true )
| ( ( ! [SY200: $i] :
~ ( iext @ SV35 @ SV41 @ SY200 ) )
= $true )
| ( ( icext @ SV38 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(381,plain,
! [SV39: $i,SV42: $i,SV36: $i] :
( ( ( ~ ( iext @ uri_owl_hasValue @ SV36 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV36 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(382,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY240 )
| ~ ( iext @ uri_rdf_first @ SY240 @ SY241 )
| ~ ( iext @ uri_rdf_rest @ SY240 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SY241 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
| ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(383,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(384,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(385,plain,
! [SV45: $i,SV48: $i] :
( ( ~ ( icext @ SV48 @ SV45 )
| ( iext @ uri_rdf_type @ SV45 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(386,plain,
! [SV49: $i,SV46: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV46 @ SV49 )
| ( icext @ SV49 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(387,plain,
! [SV41: $i,SV38: $i,SV35: $i] :
( ( ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
= $false )
| ( ( ! [SY200: $i] :
~ ( iext @ SV35 @ SV41 @ SY200 ) )
= $true )
| ( ( icext @ SV38 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(388,plain,
! [SV39: $i,SV42: $i,SV36: $i] :
( ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV36 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(389,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY240 )
| ~ ( iext @ uri_rdf_first @ SY240 @ SY241 )
| ~ ( iext @ uri_rdf_rest @ SY240 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SY241 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
| ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(390,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(391,plain,
( ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(392,plain,
! [SV45: $i,SV48: $i] :
( ( ( ~ ( icext @ SV48 @ SV45 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV45 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(393,plain,
! [SV49: $i,SV46: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV46 @ SV49 ) )
= $true )
| ( ( icext @ SV49 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(394,plain,
! [SV38: $i,SV50: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( iext @ SV35 @ SV41 @ SV50 ) )
= $true )
| ( ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
= $false )
| ( ( icext @ SV38 @ SV41 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(395,plain,
! [SV42: $i,SV39: $i,SV36: $i] :
( ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( ~ ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(396,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ! [SY240: $i,SY241: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY240 )
| ~ ( iext @ uri_rdf_first @ SY240 @ SY241 )
| ~ ( iext @ uri_rdf_rest @ SY240 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SY241 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(397,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(398,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
| ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(399,plain,
! [SV45: $i,SV48: $i] :
( ( ( icext @ SV48 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_type @ SV45 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(400,plain,
! [SV49: $i,SV46: $i] :
( ( ( iext @ uri_rdf_type @ SV46 @ SV49 )
= $false )
| ( ( icext @ SV49 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(401,plain,
! [SV38: $i,SV50: $i,SV41: $i,SV35: $i] :
( ( ( iext @ SV35 @ SV41 @ SV50 )
= $false )
| ( ( iext @ uri_rdfs_domain @ SV35 @ SV38 )
= $false )
| ( ( icext @ SV38 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(402,plain,
! [SV42: $i,SV39: $i,SV36: $i] :
( ( ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) )
| ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(403,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY240: $i,SY241: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY240 )
| ~ ( iext @ uri_rdf_first @ SY240 @ SY241 )
| ~ ( iext @ uri_rdf_rest @ SY240 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY241 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY241 @ SY240 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SY241 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(404,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(405,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(406,plain,
( ( ~ ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(407,plain,
! [SV42: $i,SV39: $i,SV36: $i] :
( ( ( ~ ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(408,plain,
! [SV36: $i,SV42: $i,SV39: $i] :
( ( ( ~ ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) )
= $false )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(409,plain,
! [SV37: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY256: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 )
| ~ ( iext @ uri_rdf_first @ SV51 @ SY256 )
| ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SY256 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SY256 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SY256 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SY256 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(410,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(411,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(412,plain,
( ( iext @ uri_owl_hasValue @ sK4_SY27 @ uri_foaf_Person )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(413,plain,
! [SV42: $i,SV39: $i,SV36: $i] :
( ( ( ! [SY201: $i] :
( ~ ( icext @ SV36 @ SY201 )
| ( iext @ SV39 @ SY201 @ SV42 ) ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(414,plain,
! [SV36: $i,SV42: $i,SV39: $i] :
( ( ( ! [SY202: $i] :
( ~ ( iext @ SV39 @ SY202 @ SV42 )
| ( icext @ SV36 @ SY202 ) ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(415,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 )
| ~ ( iext @ uri_rdf_first @ SV51 @ SV52 )
| ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
| ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(416,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(417,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(418,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(419,plain,
! [SV42: $i,SV39: $i,SV53: $i,SV36: $i] :
( ( ( ~ ( icext @ SV36 @ SV53 )
| ( iext @ SV39 @ SV53 @ SV42 ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(420,plain,
! [SV36: $i,SV42: $i,SV54: $i,SV39: $i] :
( ( ( ~ ( iext @ SV39 @ SV54 @ SV42 )
| ( icext @ SV36 @ SV54 ) )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(421,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 )
| ~ ( iext @ uri_rdf_first @ SV51 @ SV52 )
| ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(422,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY242: $i,SY243: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY242 )
| ~ ( iext @ uri_rdf_first @ SY242 @ SY243 )
| ~ ( iext @ uri_rdf_rest @ SY242 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY243 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY243 @ SY167 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(423,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(424,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(425,plain,
( ( ~ ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(426,plain,
! [SV42: $i,SV39: $i,SV53: $i,SV36: $i] :
( ( ( ~ ( icext @ SV36 @ SV53 ) )
= $true )
| ( ( iext @ SV39 @ SV53 @ SV42 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(427,plain,
! [SV36: $i,SV42: $i,SV54: $i,SV39: $i] :
( ( ( ~ ( iext @ SV39 @ SV54 @ SV42 ) )
= $true )
| ( ( icext @ SV36 @ SV54 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(428,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 )
| ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(429,plain,
! [SV37: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY257: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 )
| ~ ( iext @ uri_rdf_first @ SV55 @ SY257 )
| ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( icext @ SV43 @ SY244 )
| ~ ( icext @ SV47 @ SY244 )
| ~ ( icext @ SY257 @ SY244 )
| ( icext @ SV37 @ SY244 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY167: $i] :
( ~ ( icext @ SV37 @ SY167 )
| ( icext @ SY257 @ SY167 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(430,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(431,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(432,plain,
( ( iext @ uri_owl_onProperty @ sK4_SY27 @ uri_rdfs_domain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(433,plain,
! [SV42: $i,SV39: $i,SV53: $i,SV36: $i] :
( ( ( icext @ SV36 @ SV53 )
= $false )
| ( ( iext @ SV39 @ SV53 @ SV42 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(434,plain,
! [SV36: $i,SV42: $i,SV54: $i,SV39: $i] :
( ( ( iext @ SV39 @ SV54 @ SV42 )
= $false )
| ( ( icext @ SV36 @ SV54 )
= $true )
| ( ( iext @ uri_owl_hasValue @ SV36 @ SV42 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV36 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(435,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(436,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 )
| ~ ( iext @ uri_rdf_first @ SV55 @ SV56 )
| ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(437,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(438,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(439,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
| ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(440,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(441,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 )
| ~ ( iext @ uri_rdf_first @ SV55 @ SV56 )
| ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(442,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(443,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY254: $i,SY255: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY254 )
| ~ ( iext @ uri_rdf_first @ SY254 @ SY255 )
| ~ ( iext @ uri_rdf_rest @ SY254 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY255 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(444,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(445,plain,
( ( ~ ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(446,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(447,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 )
| ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(448,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
| ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(449,plain,
! [SV37: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY266: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 )
| ~ ( iext @ uri_rdf_first @ SV57 @ SY266 )
| ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(450,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(451,plain,
( ( iext @ uri_rdf_type @ sK4_SY27 @ uri_owl_Restriction )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(452,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(454,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(455,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(456,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 )
| ~ ( iext @ uri_rdf_first @ SV57 @ SV58 )
| ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(457,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(458,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(459,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(460,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(461,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(462,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 )
| ~ ( iext @ uri_rdf_first @ SV57 @ SV58 )
| ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(463,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(464,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(465,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(466,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(467,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
| ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(468,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ! [SY252: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY252 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY252 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY252 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(469,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 )
| ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(470,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(471,plain,
( ( iext @ uri_rdf_rest @ sK3_SY25 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(472,plain,
! [SV37: $i,SV52: $i,SV51: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(473,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(474,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(475,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ~ ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(476,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 )
| ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 )
| ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(477,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(478,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(479,plain,
! [SV37: $i,SV52: $i,SV47: $i,SV43: $i,SV40: $i,SV51: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV51 @ SV52 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(480,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(481,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(482,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(483,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 )
| ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(484,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(485,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(486,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(487,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV52: $i,SV51: $i] :
( ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(488,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(489,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ! [SY248: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY248 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY248 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY248 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(490,plain,
! [SV37: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ! [SY250: $i] :
( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SY250 )
| ! [SX6: $i] :
~ ( iext @ uri_rdf_first @ SY250 @ SX6 )
| ~ ( iext @ uri_rdf_rest @ SY250 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(491,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(492,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(493,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(494,plain,
( ( iext @ uri_rdf_first @ sK3_SY25 @ sK4_SY27 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(495,plain,
! [SV37: $i,SV52: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV51: $i] :
( ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 )
| ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(496,plain,
! [SV37: $i,SV56: $i,SV55: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV55 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(497,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 )
| ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 )
| ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(498,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 )
| ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 )
| ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(499,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(500,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(501,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(502,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
| ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(503,plain,
! [SV37: $i,SV56: $i,SV47: $i,SV43: $i,SV40: $i,SV55: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV55 @ SV56 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(504,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 )
| ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(505,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 )
| ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(506,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(507,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(508,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(509,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(510,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(511,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV56: $i,SV55: $i] :
( ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(512,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(513,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 )
| ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(514,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(515,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(516,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(517,plain,
( ( iext @ uri_rdf_rest @ sK2_SY22 @ sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(518,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(519,plain,
! [SV37: $i,SV56: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV55: $i] :
( ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(520,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(521,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 )
| ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(522,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(523,plain,
! [SV37: $i,SV58: $i,SV57: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV57 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(524,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(525,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(526,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(527,plain,
! [SV44: $i,SV55: $i,SV56: $i,SV47: $i,SV43: $i,SV40: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(528,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(529,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 )
| ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(530,plain,
! [SV37: $i,SV59: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(531,plain,
! [SV37: $i,SV58: $i,SV47: $i,SV43: $i,SV40: $i,SV57: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV57 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV57 @ SV58 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(532,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(533,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(534,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(535,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(536,plain,
! [SV44: $i,SV55: $i,SV56: $i,SV47: $i,SV43: $i,SV40: $i,SV37: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( ~ ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(537,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(538,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(539,plain,
! [SV37: $i,SV59: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(540,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV58: $i,SV57: $i] :
( ( ( iext @ uri_rdf_first @ SV57 @ SV58 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV57 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(541,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(542,plain,
( ( iext @ uri_rdf_first @ sK2_SY22 @ uri_owl_FunctionalProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(543,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(544,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
| ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(545,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV43: $i] :
( ( ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) )
| ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(546,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(547,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV44: $i,SV43: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(548,plain,
! [SV37: $i,SV47: $i,SV43: $i,SV40: $i,SV59: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ! [SY267: $i] :
~ ( iext @ uri_rdf_first @ SV59 @ SY267 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(549,plain,
! [SV37: $i,SV58: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV57: $i] :
( ( ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV57 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV57 @ SV58 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(550,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
| ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(551,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(552,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(553,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i] :
( ( ( ~ ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(554,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV43: $i] :
( ( ( ~ ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(555,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(556,plain,
! [SV37: $i,SV60: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(557,plain,
! [SV37: $i,SV61: $i,SV47: $i,SV43: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV44 @ SV47 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(558,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV62: $i,SV59: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV59 @ SV62 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(559,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV57: $i,SV58: $i,SV40: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true )
| ( ( ic @ SV58 )
= $true )
| ( ( iext @ uri_rdf_first @ SV57 @ SV58 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV57 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(560,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(561,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(562,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(563,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(564,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i] :
( ( ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(565,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV43: $i] :
( ( ( ! [SY262: $i] :
( ~ ( icext @ SV43 @ SY262 )
| ~ ( icext @ SV47 @ SY262 )
| ~ ( icext @ SV56 @ SY262 )
| ( icext @ SV37 @ SY262 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(566,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(567,plain,
! [SV37: $i,SV60: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(568,plain,
! [SV37: $i,SV61: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i] :
( ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(569,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV62: $i,SV59: $i] :
( ( ( iext @ uri_rdf_first @ SV59 @ SV62 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(570,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV57: $i,SV58: $i,SV40: $i,SV37: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( ic @ SV58 )
= $true )
| ( ( iext @ uri_rdf_first @ SV57 @ SV58 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV57 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV57 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(571,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(572,plain,
( ( iext @ uri_rdf_rest @ sK1_BNODE_l1 @ sK2_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(573,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( ~ ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(574,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
| ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(575,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i] :
( ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(576,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV63: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ SV63 )
| ~ ( icext @ SV47 @ SV63 )
| ~ ( icext @ SV56 @ SV63 )
| ( icext @ SV37 @ SV63 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(577,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
| ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(578,plain,
! [SV37: $i,SV47: $i,SV43: $i,SV40: $i,SV60: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ! [SY268: $i] :
~ ( iext @ uri_rdf_first @ SV60 @ SY268 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(579,plain,
! [SV37: $i,SV47: $i,SV43: $i,SV40: $i,SV61: $i,SV44: $i] :
( ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( ! [SY269: $i] :
~ ( iext @ uri_rdf_first @ SV61 @ SY269 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(580,plain,
! [SV37: $i,SV62: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV59: $i] :
( ( ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV59 @ SV62 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(581,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
| ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i] :
( ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( ~ ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(583,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ~ ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(584,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i] :
( ( ( ~ ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(585,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(586,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV63: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ SV63 )
| ~ ( icext @ SV47 @ SV63 )
| ~ ( icext @ SV56 @ SV63 ) )
= $true )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(587,plain,
! [SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(588,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV37: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(589,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV64: $i,SV60: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV60 @ SV64 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(590,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV65: $i,SV61: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV61 @ SV65 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(591,plain,
! [SV43: $i,SV44: $i,SV62: $i,SV59: $i,SV47: $i,SV40: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true )
| ( ( ic @ SV47 )
= $true )
| ( ( iext @ uri_rdf_first @ SV59 @ SV62 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(592,plain,
( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(593,plain,
( ( ~ ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(594,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i] :
( ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( ~ ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(595,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(596,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i] :
( ( ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
| ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(597,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(598,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV63: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ SV63 )
| ~ ( icext @ SV47 @ SV63 ) )
= $true )
| ( ( ~ ( icext @ SV56 @ SV63 ) )
= $true )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(599,plain,
! [SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(600,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV37: $i] :
( ( ( ! [SY265: $i] :
( ~ ( icext @ SV37 @ SY265 )
| ( icext @ SV56 @ SY265 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(601,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV64: $i,SV60: $i] :
( ( ( iext @ uri_rdf_first @ SV60 @ SV64 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(602,plain,
! [SV37: $i,SV43: $i,SV40: $i,SV47: $i,SV44: $i,SV65: $i,SV61: $i] :
( ( ( iext @ uri_rdf_first @ SV61 @ SV65 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(603,plain,
! [SV43: $i,SV44: $i,SV62: $i,SV59: $i,SV47: $i,SV40: $i,SV37: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( ic @ SV47 )
= $true )
| ( ( iext @ uri_rdf_first @ SV59 @ SV62 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV59 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV59 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(604,plain,
( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(605,plain,
( ( iext @ uri_rdf_first @ sK1_BNODE_l1 @ uri_owl_DatatypeProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(606,plain,
! [SV40: $i,SV43: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV37: $i] :
( ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(607,plain,
! [SV37: $i,SV40: $i,SV44: $i,SV47: $i,SV51: $i,SV52: $i,SV43: $i] :
( ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(608,plain,
! [SV37: $i,SV40: $i,SV43: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i] :
( ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 )
| ~ ( ic @ SV52 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(609,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(610,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV63: $i,SV43: $i] :
( ( ( ~ ( icext @ SV43 @ SV63 ) )
= $true )
| ( ( ~ ( icext @ SV47 @ SV63 ) )
= $true )
| ( ( ~ ( icext @ SV56 @ SV63 ) )
= $true )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(611,plain,
! [SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) )
| ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(612,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV66: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV66 )
| ( icext @ SV56 @ SV66 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(613,plain,
! [SV37: $i,SV64: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV60: $i] :
( ( ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV60 @ SV64 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(614,plain,
! [SV37: $i,SV65: $i,SV47: $i,SV43: $i,SV40: $i,SV44: $i,SV61: $i] :
( ( ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV61 @ SV65 )
= $false )
| ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
| ( ic @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(615,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
| ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(616,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(617,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(618,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 )
| ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(619,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(620,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV47: $i,SV63: $i,SV43: $i] :
( ( ( icext @ SV43 @ SV63 )
= $false )
| ( ( ~ ( icext @ SV47 @ SV63 ) )
= $true )
| ( ( ~ ( icext @ SV56 @ SV63 ) )
= $true )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(621,plain,
! [SV47: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV43: $i,SV37: $i] :
( ( ( ~ ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(622,plain,
! [SV43: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV37: $i] :
( ( ( ~ ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(623,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV66: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV66 ) )
= $true )
| ( ( icext @ SV56 @ SV66 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(624,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV64: $i,SV60: $i,SV40: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true )
| ( ( ic @ SV37 )
= $true )
| ( ( iext @ uri_rdf_first @ SV60 @ SV64 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(625,plain,
! [SV47: $i,SV44: $i,SV65: $i,SV61: $i,SV43: $i,SV40: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 ) )
= $true )
| ( ( ic @ SV43 )
= $true )
| ( ( iext @ uri_rdf_first @ SV61 @ SV65 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(626,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(627,plain,
( ( ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(628,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(629,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(630,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 )
| ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(631,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV37: $i,SV43: $i] :
( ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(632,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV56: $i,SV43: $i,SV63: $i,SV47: $i] :
( ( ( icext @ SV47 @ SV63 )
= $false )
| ( ( icext @ SV43 @ SV63 )
= $false )
| ( ( ~ ( icext @ SV56 @ SV63 ) )
= $true )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(633,plain,
! [SV47: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV43: $i,SV37: $i] :
( ( ( ! [SY210: $i] :
( ~ ( icext @ SV37 @ SY210 )
| ( icext @ SV43 @ SY210 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(634,plain,
! [SV43: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV37: $i] :
( ( ( ! [SY246: $i] :
( ~ ( icext @ SV37 @ SY246 )
| ( icext @ SV47 @ SY246 ) ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(635,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV55: $i,SV40: $i,SV56: $i,SV66: $i,SV37: $i] :
( ( ( icext @ SV37 @ SV66 )
= $false )
| ( ( icext @ SV56 @ SV66 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(636,plain,
! [SV43: $i,SV47: $i,SV44: $i,SV64: $i,SV60: $i,SV40: $i,SV37: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( ic @ SV37 )
= $true )
| ( ( iext @ uri_rdf_first @ SV60 @ SV64 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV60 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV60 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(637,plain,
! [SV47: $i,SV44: $i,SV65: $i,SV61: $i,SV43: $i,SV40: $i,SV37: $i] :
( ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( ic @ SV43 )
= $true )
| ( ( iext @ uri_rdf_first @ SV61 @ SV65 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV61 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV61 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(638,plain,
( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(639,plain,
( ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_BNODE_l1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(640,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(641,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(642,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ~ ( ic @ SV37 ) )
= $true )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(643,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV43: $i,SV37: $i,SV47: $i] :
( ( ( ic @ SV47 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(644,plain,
! [SV44: $i,SV55: $i,SV40: $i,SV37: $i,SV47: $i,SV43: $i,SV63: $i,SV56: $i] :
( ( ( icext @ SV56 @ SV63 )
= $false )
| ( ( icext @ SV43 @ SV63 )
= $false )
| ( ( icext @ SV47 @ SV63 )
= $false )
| ( ( icext @ SV37 @ SV63 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(645,plain,
! [SV47: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV43: $i,SV67: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV67 )
| ( icext @ SV43 @ SV67 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(646,plain,
! [SV43: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV68: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV68 )
| ( icext @ SV47 @ SV68 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(647,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(648,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(649,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV43: $i,SV37: $i] :
( ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV43 ) )
= $true )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(650,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV47: $i,SV37: $i,SV43: $i,SV52: $i] :
( ( ( ic @ SV52 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV47 )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(651,plain,
! [SV47: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV43: $i,SV67: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV67 ) )
= $true )
| ( ( icext @ SV43 @ SV67 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(652,plain,
! [SV43: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV68: $i,SV37: $i] :
( ( ( ~ ( icext @ SV37 @ SV68 ) )
= $true )
| ( ( icext @ SV47 @ SV68 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(653,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV37: $i,SV43: $i] :
( ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(654,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV37: $i,SV43: $i] :
( ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(655,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV47: $i,SV37: $i,SV43: $i] :
( ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ~ ( ic @ SV47 ) )
= $true )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(656,plain,
! [SV47: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV43: $i,SV67: $i,SV37: $i] :
( ( ( icext @ SV37 @ SV67 )
= $false )
| ( ( icext @ SV43 @ SV67 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(657,plain,
! [SV43: $i,SV44: $i,SV56: $i,SV55: $i,SV40: $i,SV47: $i,SV68: $i,SV37: $i] :
( ( ( icext @ SV37 @ SV68 )
= $false )
| ( ( icext @ SV47 @ SV68 )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_first @ SV55 @ SV56 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV55 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV55 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(658,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV43: $i,SV37: $i,SV47: $i] :
( ( ( ic @ SV47 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(659,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV43: $i,SV37: $i,SV47: $i] :
( ( ( ic @ SV47 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(660,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV52: $i,SV43: $i,SV37: $i,SV47: $i] :
( ( ( ic @ SV47 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ~ ( ic @ SV52 ) )
= $true )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(661,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV47: $i,SV37: $i,SV43: $i,SV52: $i] :
( ( ( ic @ SV52 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV47 )
= $false )
| ( ( icext @ SV52 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $false )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(662,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV47: $i,SV37: $i,SV43: $i,SV52: $i] :
( ( ( ic @ SV52 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV47 )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV43 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(663,plain,
! [SV40: $i,SV44: $i,SV51: $i,SV47: $i,SV37: $i,SV43: $i,SV52: $i] :
( ( ( ic @ SV52 )
= $false )
| ( ( ic @ SV43 )
= $false )
| ( ( ic @ SV37 )
= $false )
| ( ( ic @ SV47 )
= $false )
| ( ( icext @ SV37 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( icext @ SV47 @ ( sK5_X @ SV52 @ SV51 @ SV47 @ SV44 @ SV43 @ SV40 @ SV37 ) )
= $true )
| ( ( iext @ uri_owl_intersectionOf @ SV37 @ SV40 )
= $true )
| ( ( iext @ uri_rdf_first @ SV51 @ SV52 )
= $false )
| ( ( iext @ uri_rdf_first @ SV44 @ SV47 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV44 @ SV51 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV51 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(664,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[355,663,662,661,657,656,650,644,639,638,637,636,635,605,603,572,570,542,517,494,471,451,434,433,432,412,401,400,399,391,371]) ).
thf(665,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[664,343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 1 05:53:26 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.39
% 0.14/0.39 No.of.Axioms: 5
% 0.14/0.39
% 0.14/0.39 Length.of.Defs: 0
% 0.14/0.39
% 0.14/0.39 Contains.Choice.Funs: false
% 0.22/0.41 (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................
% 1.40/1.66
% 1.40/1.66 ********************************
% 1.40/1.66 * All subproblems solved! *
% 1.40/1.66 ********************************
% 1.40/1.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:664,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.66/1.88
% 1.66/1.88 %**** Beginning of derivation protocol ****
% 1.66/1.88 % SZS output start CNFRefutation
% See solution above
% 1.66/1.89
% 1.66/1.89 %**** End of derivation protocol ****
% 1.66/1.89 %**** no. of clauses in derivation: 665 ****
% 1.66/1.89 %**** clause counter: 664 ****
% 1.66/1.89
% 1.66/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:664,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------