%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:48 AM UTC 2026
% Result : Theorem 158.39s 26.67s
% Output : CNFRefutation 158.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of formulae : 341 ( 96 unt; 0 typ; 0 def)
% Number of atoms : 3237 ( 874 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 6860 (1709 ~;1203 |; 51 &;3855 @)
% ( 24 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 13 con; 0-4 aty)
% Number of variables : 1014 ( 0 ^;1008 !; 6 ?;1014 :)
% Comments :
%------------------------------------------------------------------------------
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_ip,type,
ip: $i > $o ).
thf(tp_sK10_SY65,type,
sK10_SY65: $i > $i > $i ).
thf(tp_sK11_SY88,type,
sK11_SY88: $i > $i > $i ).
thf(tp_sK12_SY77,type,
sK12_SY77: $i > $i > $i > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i > $i ).
thf(tp_sK3_SY43,type,
sK3_SY43: $i > $i ).
thf(tp_sK4_SY80,type,
sK4_SY80: $i > $i ).
thf(tp_sK5_SY84,type,
sK5_SY84: $i > $i ).
thf(tp_sK6_SY86,type,
sK6_SY86: $i > $i ).
thf(tp_sK7_SY87,type,
sK7_SY87: $i > $i ).
thf(tp_sK8_SY60,type,
sK8_SY60: $i > $i > $i ).
thf(tp_sK9_SY63,type,
sK9_SY63: $i > $i > $i ).
thf(tp_uri_ex_InversesOfFunctionalProperties,type,
uri_ex_InversesOfFunctionalProperties: $i ).
thf(tp_uri_owl_FunctionalProperty,type,
uri_owl_FunctionalProperty: $i ).
thf(tp_uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(tp_uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
thf(tp_uri_owl_equivalentClass,type,
uri_owl_equivalentClass: $i ).
thf(tp_uri_owl_inverseOf,type,
uri_owl_inverseOf: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_owl_someValuesFrom,type,
uri_owl_someValuesFrom: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
thf(1,axiom,
? [BNODE_z: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_owl_inverseOf )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_owl_FunctionalProperty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
thf(2,axiom,
! [P1: $i,P2: $i] :
( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
<=> ( iext @ P2 @ Y @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(3,axiom,
! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(4,axiom,
! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(5,axiom,
! [C1: $i,C2: $i] :
( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
=> ( icext @ C2 @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(6,axiom,
! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(7,axiom,
! [P: $i] :
( ( icext @ uri_owl_FunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P @ X @ Y1 )
& ( iext @ P @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_equivalentClass @ X @ Y )
=> ( ( ic @ X )
& ( ic @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_inverseOf @ X @ Y )
=> ( ( ip @ X )
& ( ip @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
thf(10,axiom,
ic @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
thf(11,conjecture,
iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
thf(12,negated_conjecture,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_owl_inverseOf )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [P1: $i,P2: $i] :
( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
<=> ( iext @ P2 @ Y @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [C1: $i,C2: $i] :
( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
=> ( icext @ C2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_FunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P @ X @ Y1 )
& ( iext @ P @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_equivalentClass @ X @ Y )
=> ( ( ic @ X )
& ( ic @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_inverseOf @ X @ Y )
=> ( ( ip @ X )
& ( ip @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ic @ uri_owl_InverseFunctionalProperty )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ic @ uri_owl_InverseFunctionalProperty )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_inverseOf @ X @ Y )
=> ( ( ip @ X )
& ( ip @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_equivalentClass @ X @ Y )
=> ( ( ic @ X )
& ( ic @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(28,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_FunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( iext @ P @ X @ Y1 )
& ( iext @ P @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(29,plain,
( ( ! [P: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ P )
<=> ( ( ip @ P )
& ! [X1: $i,X2: $i,Y: $i] :
( ( ( iext @ P @ X1 @ Y )
& ( iext @ P @ X2 @ Y ) )
=> ( X1 = X2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(30,plain,
( ( ! [C1: $i,C2: $i] :
( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
=> ( icext @ C2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(31,plain,
( ( ! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ( ic @ C1 )
& ( ic @ C2 )
& ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(32,plain,
( ( ! [Z: $i,P: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
& ( iext @ uri_owl_onProperty @ Z @ P ) )
=> ! [X: $i] :
( ( icext @ Z @ X )
<=> ? [Y: $i] :
( ( iext @ P @ X @ Y )
& ( icext @ C @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(33,plain,
( ( ! [P1: $i,P2: $i] :
( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
<=> ( iext @ P2 @ Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(34,plain,
( ( ? [BNODE_z: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ BNODE_z )
& ( iext @ uri_rdf_type @ BNODE_z @ uri_owl_Restriction )
& ( iext @ uri_owl_onProperty @ BNODE_z @ uri_owl_inverseOf )
& ( iext @ uri_owl_someValuesFrom @ BNODE_z @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(35,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(36,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
| ~ ( ~ ( ip @ SX0 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( iext @ SX0 @ SX1 @ SX3 )
| ~ ( iext @ SX0 @ SX2 @ SX3 ) )
| ( SX1 = SX2 ) ) )
| ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(37,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(38,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_inverseOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ( ip @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX3 @ SX2 ) )
| ~ ( ~ ( iext @ SX1 @ SX3 @ SX2 )
| ( iext @ SX0 @ SX2 @ SX3 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( icext @ uri_owl_FunctionalProperty @ SX0 )
| ~ ( ~ ( ip @ SX0 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SX0 )
| ~ ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( iext @ SX0 @ SX1 @ SX2 )
| ~ ( iext @ SX0 @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) )
| ( icext @ uri_owl_FunctionalProperty @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(40,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ SX0 )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ uri_owl_inverseOf ) )
| ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
| ~ ( ic @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(44,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ SX2 )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( icext @ SX0 @ SX3 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SX1 @ SX3 @ SX4 )
| ~ ( icext @ SX2 @ SX4 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SX1 @ SX3 @ SX4 )
| ~ ( icext @ SX2 @ SX4 ) )
| ( icext @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(45,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_InversesOfFunctionalProperties @ uri_owl_InverseFunctionalProperty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
| ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(47,plain,
! [SV2: $i] :
( ( ! [SY34: $i] :
( ~ ( iext @ uri_owl_inverseOf @ SV2 @ SY34 )
| ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(48,plain,
! [SV3: $i] :
( ( ! [SY35: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SY35 )
| ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SY35 ) )
| ~ ! [SY36: $i,SY37: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY36 @ SY37 )
| ( iext @ SY35 @ SY37 @ SY36 ) )
| ~ ( ~ ( iext @ SY35 @ SY37 @ SY36 )
| ( iext @ SV3 @ SY36 @ SY37 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SY35 ) )
| ~ ! [SY38: $i,SY39: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY38 @ SY39 )
| ( iext @ SY35 @ SY39 @ SY38 ) )
| ~ ( ~ ( iext @ SY35 @ SY39 @ SY38 )
| ( iext @ SV3 @ SY38 @ SY39 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SV3 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(49,plain,
! [SV4: $i] :
( ( ~ ( ~ ( ~ ( icext @ uri_owl_FunctionalProperty @ SV4 )
| ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
| ( icext @ uri_owl_FunctionalProperty @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(50,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ SX0 )
| ~ ( iext @ uri_rdf_type @ SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ SX0 @ uri_owl_inverseOf ) )
| ~ ( iext @ uri_owl_someValuesFrom @ SX0 @ uri_owl_FunctionalProperty ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(51,plain,
! [SV5: $i] :
( ( ! [SY46: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SY46 )
| ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SY46 ) )
| ~ ! [SY47: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY47 )
| ( icext @ SY46 @ SY47 ) )
| ~ ( ~ ( icext @ SY46 @ SY47 )
| ( icext @ SV5 @ SY47 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SY46 ) )
| ~ ! [SY48: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY48 )
| ( icext @ SY46 @ SY48 ) )
| ~ ( ~ ( icext @ SY46 @ SY48 )
| ( icext @ SV5 @ SY48 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV6: $i] :
( ( ! [SY49: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV6 @ SY49 )
| ~ ( ~ ( ic @ SV6 )
| ~ ( ic @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV7: $i] :
( ( ! [SY50: $i] :
~ ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SY50 )
| ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SY50 ) )
| ~ ! [SY51: $i] :
( ~ ( icext @ SV7 @ SY51 )
| ( icext @ SY50 @ SY51 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SY50 ) )
| ~ ! [SY52: $i] :
( ~ ( icext @ SV7 @ SY52 )
| ( icext @ SY50 @ SY52 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV8: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SY54 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SY53 ) )
| ! [SY55: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY55 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SY53 @ SY55 @ SX4 )
| ~ ( icext @ SY54 @ SX4 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( iext @ SY53 @ SY55 @ SX4 )
| ~ ( icext @ SY54 @ SX4 ) )
| ( icext @ SV8 @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV1: $i] :
( ( ~ ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
| ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV9: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
| ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
| ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SV3 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(58,plain,
! [SV4: $i] :
( ( ~ ( ~ ( icext @ uri_owl_FunctionalProperty @ SV4 )
| ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
| ~ ( ~ ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
| ( icext @ uri_owl_FunctionalProperty @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(59,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_owl_FunctionalProperty ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(60,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
| ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(61,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
| ~ ( ~ ( ic @ SV6 )
| ~ ( ic @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(62,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
| ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV14: $i,SV8: $i] :
( ( ! [SY66: $i] :
( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SY66 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) )
| ! [SY67: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY67 )
| ~ ! [SY68: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY67 @ SY68 )
| ~ ( icext @ SY66 @ SY68 ) ) )
| ~ ( ~ ~ ! [SY69: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY67 @ SY69 )
| ~ ( icext @ SY66 @ SY69 ) )
| ( icext @ SV8 @ SY67 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV1: $i] :
( ( ~ ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
| ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(66,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
| ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SV3 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV4: $i] :
( ( ~ ( ~ ( icext @ uri_owl_FunctionalProperty @ SV4 )
| ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(69,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
| ( icext @ uri_owl_FunctionalProperty @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(70,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_owl_FunctionalProperty ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(71,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
| ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( ic @ SV6 )
| ~ ( ic @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
| ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) )
| ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV1: $i] :
( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
| ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
| ( icext @ uri_owl_InverseFunctionalProperty @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(77,plain,
! [SV9: $i,SV2: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false )
| ( ( ~ ( ~ ( ip @ SV2 )
| ~ ( ip @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
| ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(79,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SV3 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(80,plain,
! [SV4: $i] :
( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV4 )
| ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(81,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
| ( icext @ uri_owl_FunctionalProperty @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(82,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) )
| ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
| ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(84,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV12: $i,SV6: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false )
| ( ( ~ ( ~ ( ic @ SV6 )
| ~ ( ic @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
| ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(87,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(88,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) ) )
= $true )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 )
| ~ ( ip @ SV9 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
| ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
| ( iext @ uri_owl_inverseOf @ SV3 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(94,plain,
! [SV4: $i] :
( ( ( ~ ( icext @ uri_owl_FunctionalProperty @ SV4 ) )
= $true )
| ( ( ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(97,plain,
( ( ~ ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_owl_FunctionalProperty ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(98,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
| ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(99,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(100,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ic @ SV6 )
| ~ ( ic @ SV12 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
| ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(102,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(103,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) ) )
= $false )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV1: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false )
| ( ( ~ ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( ip @ SV2 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(107,plain,
! [SV2: $i,SV9: $i] :
( ( ( ~ ( ip @ SV9 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(108,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_inverseOf @ SV3 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(109,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(110,plain,
! [SV4: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false )
| ( ( ~ ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(111,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(112,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(113,plain,
( ( iext @ uri_owl_someValuesFrom @ sK1_SX0 @ uri_owl_FunctionalProperty )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(114,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(115,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(116,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( ic @ SV6 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(117,plain,
! [SV6: $i,SV12: $i] :
( ( ( ~ ( ic @ SV12 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(118,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(120,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
| ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) )
= $true )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV1: $i] :
( ( ( ~ ( ip @ SV1 )
| ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(123,plain,
! [SV9: $i,SV2: $i] :
( ( ( ip @ SV2 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(124,plain,
! [SV2: $i,SV9: $i] :
( ( ( ip @ SV9 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(125,plain,
! [SV10: $i,SV3: $i] :
( ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(127,plain,
! [SV4: $i] :
( ( ( ~ ( ip @ SV4 )
| ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(128,plain,
! [SV4: $i] :
( ( ( ~ ( ip @ SV4 )
| ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(129,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
| ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(130,plain,
! [SV11: $i,SV5: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV12: $i,SV6: $i] :
( ( ( ic @ SV6 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(133,plain,
! [SV6: $i,SV12: $i] :
( ( ( ic @ SV12 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(134,plain,
! [SV13: $i,SV7: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) )
= $true )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(137,plain,
! [SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(138,plain,
! [SV1: $i] :
( ( ( ~ ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(139,plain,
! [SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(140,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
| ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(142,plain,
! [SV4: $i] :
( ( ( ~ ( ip @ SV4 ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( ~ ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(144,plain,
! [SV4: $i] :
( ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(145,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(146,plain,
( ( ~ ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(147,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
| ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(149,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(150,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
| ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(151,plain,
! [SV14: $i,SV15: $i,SV8: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( ~ ( iext @ uri_owl_onProperty @ SV8 @ SV14 ) )
= $true )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(152,plain,
! [SV1: $i] :
( ( ( ip @ SV1 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(153,plain,
! [SV1: $i] :
( ( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY28 @ SY30 )
| ~ ( iext @ SV1 @ SY29 @ SY30 ) )
| ( SY28 = SY29 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(154,plain,
! [SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(156,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(157,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(159,plain,
! [SV4: $i] :
( ( ( ! [SY40: $i,SY41: $i,SY42: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY40 @ SY41 )
| ~ ( iext @ SV4 @ SY40 @ SY42 ) )
| ( SY41 = SY42 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(160,plain,
! [SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(161,plain,
( ( ~ ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(162,plain,
( ( iext @ uri_owl_onProperty @ sK1_SX0 @ uri_owl_inverseOf )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(163,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(164,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(165,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) ) )
= $true )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(166,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(167,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(168,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) ) )
= $true )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(169,plain,
! [SV15: $i,SV14: $i,SV8: $i] :
( ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( ! [SY70: $i] :
~ ( ~ ( ~ ( icext @ SV8 @ SY70 )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY71 )
| ~ ( icext @ SV15 @ SY71 ) ) )
| ~ ( ~ ~ ! [SY72: $i] :
~ ~ ( ~ ( iext @ SV14 @ SY70 @ SY72 )
| ~ ( icext @ SV15 @ SY72 ) )
| ( icext @ SV8 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(170,plain,
! [SV16: $i,SV1: $i] :
( ( ( ! [SY73: $i,SY74: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SV16 @ SY74 )
| ~ ( iext @ SV1 @ SY73 @ SY74 ) )
| ( SV16 = SY73 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(171,plain,
! [SV1: $i] :
( ( ( ! [SY31: $i,SY32: $i,SY33: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SY31 @ SY33 )
| ~ ( iext @ SV1 @ SY32 @ SY33 ) )
| ( SY31 = SY32 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(172,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(173,plain,
! [SV10: $i,SV3: $i] :
( ( ( ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY58 @ SY59 )
| ( iext @ SV10 @ SY59 @ SY58 ) )
| ~ ( ~ ( iext @ SV10 @ SY59 @ SY58 )
| ( iext @ SV3 @ SY58 @ SY59 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(174,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(175,plain,
! [SV17: $i,SV4: $i] :
( ( ( ! [SY75: $i,SY76: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SV17 @ SY75 )
| ~ ( iext @ SV4 @ SV17 @ SY76 ) )
| ( SY75 = SY76 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV4: $i] :
( ( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SY43 @ SY44 )
| ~ ( iext @ SV4 @ SY43 @ SY45 ) )
| ( SY44 = SY45 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(177,plain,
( ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
| ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(179,plain,
! [SV11: $i,SV5: $i] :
( ( ( ! [SY62: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY62 )
| ( icext @ SV11 @ SY62 ) )
| ~ ( ~ ( icext @ SV11 @ SY62 )
| ( icext @ SV5 @ SY62 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(180,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) ) )
= $false )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(182,plain,
! [SV13: $i,SV7: $i] :
( ( ( ! [SY64: $i] :
( ~ ( icext @ SV7 @ SY64 )
| ( icext @ SV13 @ SY64 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(183,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(184,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV8 @ SV18 )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
| ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) )
| ( icext @ SV8 @ SV18 ) ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(185,plain,
! [SV19: $i,SV16: $i,SV1: $i] :
( ( ( ! [SY79: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ SV16 @ SY79 )
| ~ ( iext @ SV1 @ SV19 @ SY79 ) )
| ( SV16 = SV19 ) ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(186,plain,
! [SV1: $i] :
( ( ( ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ SY81 )
| ~ ( iext @ SV1 @ SY80 @ SY81 ) )
| ( ( sK2_SY31 @ SV1 )
= SY80 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(187,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(188,plain,
! [SV10: $i,SV20: $i,SV3: $i] :
( ( ( ! [SY82: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SV20 @ SY82 )
| ( iext @ SV10 @ SY82 @ SV20 ) )
| ~ ( ~ ( iext @ SV10 @ SY82 @ SV20 )
| ( iext @ SV3 @ SV20 @ SY82 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(189,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 )
| ~ ( ip @ SV10 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(190,plain,
! [SV21: $i,SV17: $i,SV4: $i] :
( ( ( ! [SY83: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ SV17 @ SV21 )
| ~ ( iext @ SV4 @ SV17 @ SY83 ) )
| ( SV21 = SY83 ) ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(191,plain,
! [SV4: $i] :
( ( ( ! [SY84: $i,SY85: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ SY84 )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ SY85 ) )
| ( SY84 = SY85 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(192,plain,
( ( ~ ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(193,plain,
( ( ~ ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(194,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(195,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV5 @ SV22 )
| ( icext @ SV11 @ SV22 ) )
| ~ ( ~ ( icext @ SV11 @ SV22 )
| ( icext @ SV5 @ SV22 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(196,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV11 ) )
= $true )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(197,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(198,plain,
! [SV13: $i,SV23: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV23 )
| ( icext @ SV13 @ SV23 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(199,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ic @ SV7 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(200,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( ~ ( icext @ SV8 @ SV18 )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
| ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) )
| ( icext @ SV8 @ SV18 ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(201,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV1 @ SV16 @ SV24 )
| ~ ( iext @ SV1 @ SV19 @ SV24 ) )
| ( SV16 = SV19 ) )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV1: $i] :
( ( ( ! [SY86: $i] :
( ~ ~ ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ SY86 )
| ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ SY86 ) )
| ( ( sK2_SY31 @ SV1 )
= ( sK4_SY80 @ SV1 ) ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(203,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(204,plain,
! [SV3: $i,SV10: $i] :
( ( ( ~ ( ip @ SV10 ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(205,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV3 @ SV20 @ SV25 )
| ( iext @ SV10 @ SV25 @ SV20 ) )
| ~ ( ~ ( iext @ SV10 @ SV25 @ SV20 )
| ( iext @ SV3 @ SV20 @ SV25 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ip @ SV3 ) )
= $true )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ SV17 @ SV21 )
| ~ ( iext @ SV4 @ SV17 @ SV26 ) )
| ( SV21 = SV26 ) )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(208,plain,
! [SV4: $i] :
( ( ( ! [SY87: $i] :
( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ SY87 ) )
| ( ( sK5_SY84 @ SV4 )
= SY87 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[191]) ).
thf(209,plain,
( ( iext @ uri_owl_equivalentClass @ uri_ex_InversesOfFunctionalProperties @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(210,plain,
( ( iext @ uri_rdf_type @ sK1_SX0 @ uri_owl_Restriction )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(211,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(212,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( ic @ SV11 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(213,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ SV22 )
| ( icext @ SV11 @ SV22 ) )
| ~ ( ~ ( icext @ SV11 @ SV22 )
| ( icext @ SV5 @ SV22 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 ) )
= $true )
| ( ( ~ ( ic @ SV11 ) )
= $true )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ic @ SV7 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(216,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( ic @ SV13 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(217,plain,
! [SV13: $i,SV23: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ SV23 ) )
= $true )
| ( ( icext @ SV13 @ SV23 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(218,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( ic @ SV7 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(219,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( ~ ( icext @ SV8 @ SV18 )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(220,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) )
| ( icext @ SV8 @ SV18 ) ) )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(221,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV1 @ SV16 @ SV24 )
| ~ ( iext @ SV1 @ SV19 @ SV24 ) ) )
= $true )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(222,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
| ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) )
| ( ( sK2_SY31 @ SV1 )
= ( sK4_SY80 @ SV1 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(223,plain,
! [SV10: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(224,plain,
! [SV3: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(225,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ SV20 @ SV25 )
| ( iext @ SV10 @ SV25 @ SV20 ) )
| ~ ( ~ ( iext @ SV10 @ SV25 @ SV20 )
| ( iext @ SV3 @ SV20 @ SV25 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(226,plain,
! [SV10: $i,SV3: $i] :
( ( ( ip @ SV3 )
= $false )
| ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(227,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ SV17 @ SV21 )
| ~ ( iext @ SV4 @ SV17 @ SV26 ) ) )
= $true )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(228,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) ) )
| ( ( sK5_SY84 @ SV4 )
= ( sK7_SY87 @ SV4 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(229,plain,
! [SV11: $i,SV5: $i] :
( ( ( ic @ SV5 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(230,plain,
! [SV5: $i,SV11: $i] :
( ( ( ic @ SV11 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(231,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ SV22 )
| ( icext @ SV11 @ SV22 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(232,plain,
! [SV5: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( ~ ( icext @ SV11 @ SV22 )
| ( icext @ SV5 @ SV22 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(233,plain,
! [SV11: $i,SV5: $i] :
( ( ( ic @ SV5 )
= $false )
| ( ( ~ ( ic @ SV11 ) )
= $true )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(234,plain,
! [SV13: $i,SV7: $i] :
( ( ( ic @ SV7 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(235,plain,
! [SV7: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(236,plain,
! [SV13: $i,SV23: $i,SV7: $i] :
( ( ( icext @ SV7 @ SV23 )
= $false )
| ( ( icext @ SV13 @ SV23 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(237,plain,
! [SV13: $i,SV7: $i] :
( ( ( ic @ SV7 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(238,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( icext @ SV8 @ SV18 )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(239,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) )
| ( icext @ SV8 @ SV18 ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(240,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( ~ ( iext @ SV1 @ SV16 @ SV24 )
| ~ ( iext @ SV1 @ SV19 @ SV24 ) ) )
= $false )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(241,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
| ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(242,plain,
! [SV1: $i] :
( ( ( ( sK2_SY31 @ SV1 )
= ( sK4_SY80 @ SV1 ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(243,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ SV20 @ SV25 )
| ( iext @ SV10 @ SV25 @ SV20 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(244,plain,
! [SV3: $i,SV20: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( ~ ( iext @ SV10 @ SV25 @ SV20 )
| ( iext @ SV3 @ SV20 @ SV25 ) ) )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(245,plain,
! [SV3: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ~ ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(246,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ SV17 @ SV21 )
| ~ ( iext @ SV4 @ SV17 @ SV26 ) ) )
= $false )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(247,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(248,plain,
! [SV4: $i] :
( ( ( ( sK5_SY84 @ SV4 )
= ( sK7_SY87 @ SV4 ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(249,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ SV22 )
| ( icext @ SV11 @ SV22 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(250,plain,
! [SV5: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ SV22 )
| ( icext @ SV5 @ SV22 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(251,plain,
! [SV5: $i,SV11: $i] :
( ( ( ic @ SV11 )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ~ ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(252,plain,
! [SV7: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ~ ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(253,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( icext @ SV8 @ SV18 ) )
= $true )
| ( ( ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(254,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(255,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV16 @ SV24 )
| ~ ( iext @ SV1 @ SV19 @ SV24 ) )
= $true )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(256,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
| ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) ) )
= $true )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(257,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV20 @ SV25 )
| ( iext @ SV10 @ SV25 @ SV20 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(258,plain,
! [SV3: $i,SV20: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ SV25 @ SV20 )
| ( iext @ SV3 @ SV20 @ SV25 ) )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(259,plain,
! [SV10: $i,SV3: $i] :
( ( ( ! [SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ SY60 @ SY61 )
| ( iext @ SV10 @ SY61 @ SY60 ) )
| ~ ( ~ ( iext @ SV10 @ SY61 @ SY60 )
| ( iext @ SV3 @ SY60 @ SY61 ) ) ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(260,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( iext @ SV4 @ SV17 @ SV21 )
| ~ ( iext @ SV4 @ SV17 @ SV26 ) )
= $true )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(261,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) ) ) )
= $true )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(262,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ SV22 ) )
= $true )
| ( ( icext @ SV11 @ SV22 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV5: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ SV22 ) )
= $true )
| ( ( icext @ SV5 @ SV22 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV11: $i,SV5: $i] :
( ( ( ! [SY63: $i] :
~ ( ~ ( ~ ( icext @ SV5 @ SY63 )
| ( icext @ SV11 @ SY63 ) )
| ~ ( ~ ( icext @ SV11 @ SY63 )
| ( icext @ SV5 @ SY63 ) ) ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(265,plain,
! [SV13: $i,SV7: $i] :
( ( ( ! [SY65: $i] :
( ~ ( icext @ SV7 @ SY65 )
| ( icext @ SV13 @ SY65 ) ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV15: $i,SV14: $i,SV18: $i,SV8: $i] :
( ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( ~ ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(267,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ~ ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(268,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV16 @ SV24 ) )
= $true )
| ( ( ~ ( iext @ SV1 @ SV19 @ SV24 ) )
= $true )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
| ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(270,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ SV20 @ SV25 ) )
= $true )
| ( ( iext @ SV10 @ SV25 @ SV20 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(271,plain,
! [SV3: $i,SV20: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ SV25 @ SV20 ) )
= $true )
| ( ( iext @ SV3 @ SV20 @ SV25 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV10: $i,SV3: $i] :
( ( ( ! [SY88: $i] :
~ ( ~ ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ SY88 )
| ( iext @ SV10 @ SY88 @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
| ~ ( ~ ( iext @ SV10 @ SY88 @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ SY88 ) ) ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[259]) ).
thf(273,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( iext @ SV4 @ SV17 @ SV21 ) )
= $true )
| ( ( ~ ( iext @ SV4 @ SV17 @ SV26 ) )
= $true )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(274,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
| ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV11: $i,SV22: $i,SV5: $i] :
( ( ( icext @ SV5 @ SV22 )
= $false )
| ( ( icext @ SV11 @ SV22 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV5: $i,SV22: $i,SV11: $i] :
( ( ( icext @ SV11 @ SV22 )
= $false )
| ( ( icext @ SV5 @ SV22 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
| ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[264]) ).
thf(278,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK10_SY65 @ SV13 @ SV7 ) )
| ( icext @ SV13 @ ( sK10_SY65 @ SV13 @ SV7 ) ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[265]) ).
thf(279,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ! [SY77: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY77 )
| ~ ( icext @ SV15 @ SY77 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV8: $i,SV15: $i,SV18: $i,SV14: $i] :
( ( ( ! [SY78: $i] :
~ ~ ( ~ ( iext @ SV14 @ SV18 @ SY78 )
| ~ ( icext @ SV15 @ SY78 ) ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(281,plain,
! [SV19: $i,SV24: $i,SV16: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV16 @ SV24 )
= $false )
| ( ( ~ ( iext @ SV1 @ SV19 @ SV24 ) )
= $true )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(282,plain,
! [SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(283,plain,
! [SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) ) )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(284,plain,
! [SV10: $i,SV25: $i,SV20: $i,SV3: $i] :
( ( ( iext @ SV3 @ SV20 @ SV25 )
= $false )
| ( ( iext @ SV10 @ SV25 @ SV20 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
! [SV3: $i,SV20: $i,SV25: $i,SV10: $i] :
( ( ( iext @ SV10 @ SV25 @ SV20 )
= $false )
| ( ( iext @ SV3 @ SV20 @ SV25 )
= $true )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(286,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
| ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
| ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[272]) ).
thf(287,plain,
! [SV26: $i,SV21: $i,SV17: $i,SV4: $i] :
( ( ( iext @ SV4 @ SV17 @ SV21 )
= $false )
| ( ( ~ ( iext @ SV4 @ SV17 @ SV26 ) )
= $true )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(288,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(289,plain,
! [SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) ) )
= $false )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(290,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
| ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(291,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( icext @ SV7 @ ( sK10_SY65 @ SV13 @ SV7 ) ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(292,plain,
! [SV7: $i,SV13: $i] :
( ( ( icext @ SV13 @ ( sK10_SY65 @ SV13 @ SV7 ) )
= $false )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(293,plain,
! [SV15: $i,SV8: $i,SV18: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV14 @ SV18 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) )
| ~ ( icext @ SV15 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[279]) ).
thf(294,plain,
! [SV8: $i,SV15: $i,SV27: $i,SV18: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( iext @ SV14 @ SV18 @ SV27 )
| ~ ( icext @ SV15 @ SV27 ) ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(295,plain,
! [SV16: $i,SV24: $i,SV19: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV19 @ SV24 )
= $false )
| ( ( iext @ SV1 @ SV16 @ SV24 )
= $false )
| ( ( SV16 = SV19 )
= $true )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(296,plain,
! [SV1: $i] :
( ( ( iext @ SV1 @ ( sK2_SY31 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
= $true )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(297,plain,
! [SV1: $i] :
( ( ( iext @ SV1 @ ( sK4_SY80 @ SV1 ) @ ( sK6_SY86 @ SV1 ) )
= $true )
| ( ( ip @ SV1 )
= $false )
| ( ( icext @ uri_owl_InverseFunctionalProperty @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(298,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
| ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
| ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(299,plain,
! [SV21: $i,SV26: $i,SV17: $i,SV4: $i] :
( ( ( iext @ SV4 @ SV17 @ SV26 )
= $false )
| ( ( iext @ SV4 @ SV17 @ SV21 )
= $false )
| ( ( SV21 = SV26 )
= $true )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(300,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK5_SY84 @ SV4 ) )
= $true )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(301,plain,
! [SV4: $i] :
( ( ( iext @ SV4 @ ( sK3_SY43 @ SV4 ) @ ( sK7_SY87 @ SV4 ) )
= $true )
| ( ( ip @ SV4 )
= $false )
| ( ( icext @ uri_owl_FunctionalProperty @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(302,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(303,plain,
! [SV13: $i,SV7: $i] :
( ( ( icext @ SV7 @ ( sK10_SY65 @ SV13 @ SV7 ) )
= $true )
| ( ( ic @ SV7 )
= $false )
| ( ( ic @ SV13 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(304,plain,
! [SV15: $i,SV8: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( ~ ( iext @ SV14 @ SV18 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) )
| ~ ( icext @ SV15 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) ) ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(305,plain,
! [SV8: $i,SV15: $i,SV27: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( ~ ( iext @ SV14 @ SV18 @ SV27 )
| ~ ( icext @ SV15 @ SV27 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(306,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
| ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(307,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV15: $i,SV8: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( iext @ SV14 @ SV18 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) )
| ~ ( icext @ SV15 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(309,plain,
! [SV8: $i,SV15: $i,SV27: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( iext @ SV14 @ SV18 @ SV27 )
| ~ ( icext @ SV15 @ SV27 ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(310,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
| ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(311,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(312,plain,
! [SV5: $i,SV11: $i] :
( ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(313,plain,
! [SV15: $i,SV8: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( iext @ SV14 @ SV18 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(314,plain,
! [SV14: $i,SV18: $i,SV8: $i,SV15: $i] :
( ( ( ~ ( icext @ SV15 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) ) )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(315,plain,
! [SV8: $i,SV15: $i,SV27: $i,SV18: $i,SV14: $i] :
( ( ( ~ ( iext @ SV14 @ SV18 @ SV27 ) )
= $true )
| ( ( ~ ( icext @ SV15 @ SV27 ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(317,plain,
! [SV3: $i,SV10: $i] :
( ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $false )
| ( ( ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(318,plain,
! [SV11: $i,SV5: $i] :
( ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(319,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(320,plain,
! [SV15: $i,SV8: $i,SV18: $i,SV14: $i] :
( ( ( iext @ SV14 @ SV18 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(321,plain,
! [SV14: $i,SV18: $i,SV8: $i,SV15: $i] :
( ( ( icext @ SV15 @ ( sK12_SY77 @ SV8 @ SV15 @ SV18 @ SV14 ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $false )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(322,plain,
! [SV8: $i,SV15: $i,SV27: $i,SV18: $i,SV14: $i] :
( ( ( iext @ SV14 @ SV18 @ SV27 )
= $false )
| ( ( ~ ( icext @ SV15 @ SV27 ) )
= $true )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(323,plain,
! [SV10: $i,SV3: $i] :
( ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(324,plain,
! [SV3: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) )
= $false )
| ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
| ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(326,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(327,plain,
! [SV11: $i,SV5: $i] :
( ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(328,plain,
! [SV8: $i,SV18: $i,SV14: $i,SV27: $i,SV15: $i] :
( ( ( icext @ SV15 @ SV27 )
= $false )
| ( ( iext @ SV14 @ SV18 @ SV27 )
= $false )
| ( ( icext @ SV8 @ SV18 )
= $true )
| ( ( iext @ uri_owl_someValuesFrom @ SV8 @ SV15 )
= $false )
| ( ( iext @ uri_owl_onProperty @ SV8 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(329,plain,
! [SV3: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
| ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) ) )
= $false )
| ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(330,plain,
! [SV3: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
= $false )
| ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(331,plain,
! [SV10: $i,SV3: $i] :
( ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $false )
| ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(332,plain,
! [SV5: $i,SV11: $i] :
( ( ( ~ ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) ) )
= $false )
| ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(333,plain,
! [SV11: $i,SV5: $i] :
( ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(334,plain,
! [SV5: $i,SV11: $i] :
( ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(335,plain,
! [SV3: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) ) )
= $false )
| ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(336,plain,
! [SV10: $i,SV3: $i] :
( ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $false )
| ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(337,plain,
! [SV3: $i,SV10: $i] :
( ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $true )
| ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $false )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(338,plain,
! [SV5: $i,SV11: $i] :
( ( ( icext @ SV11 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( icext @ SV5 @ ( sK9_SY63 @ SV11 @ SV5 ) )
= $true )
| ( ( ic @ SV5 )
= $false )
| ( ( ic @ SV11 )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(339,plain,
! [SV3: $i,SV10: $i] :
( ( ( iext @ SV10 @ ( sK11_SY88 @ SV10 @ SV3 ) @ ( sK8_SY60 @ SV10 @ SV3 ) )
= $true )
| ( ( iext @ SV3 @ ( sK8_SY60 @ SV10 @ SV3 ) @ ( sK11_SY88 @ SV10 @ SV3 ) )
= $true )
| ( ( ip @ SV3 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ uri_owl_inverseOf @ SV3 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(340,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,339,338,337,336,334,333,331,328,327,321,320,303,301,300,299,297,296,295,292,285,284,276,275,248,242,236,235,234,230,229,224,223,210,209,162,158,152,133,132,124,123,113,45]) ).
thf(341,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 15:54:01 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.39/26.67
% 158.39/26.67 No.of.Axioms: 10
% 158.39/26.67
% 158.39/26.67 Length.of.Defs: 0
% 158.39/26.67
% 158.39/26.67 Contains.Choice.Funs: false
% 158.39/26.67 ..........
% 158.39/26.67
% 158.39/26.67 ********************************
% 158.39/26.67 * All subproblems solved! *
% 158.39/26.67 ********************************
% 158.39/26.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:340,loop_count:0,foatp_calls:1,translation:fof_full)
% 158.39/26.67
% 158.39/26.67 %**** Beginning of derivation protocol ****
% 158.39/26.67 % SZS output start CNFRefutation
% See solution above
% 158.39/26.68
% 158.39/26.68 %**** End of derivation protocol ****
% 158.39/26.68 %**** no. of clauses in derivation: 341 ****
% 158.39/26.68 %**** clause counter: 340 ****
% 158.39/26.68
% 158.39/26.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:340,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------