TSTP Solution File: SWB016+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:13:18 EDT 2022
% Result : Theorem 0.49s 0.71s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 26
% Syntax : Number of formulae : 261 ( 137 unt; 15 typ; 0 def)
% Number of atoms : 1785 ( 418 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 3769 ( 724 ~; 635 |; 48 &;2342 @)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 708 ( 0 ^ 708 !; 0 ?; 708 :)
% 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_sK1_X,type,
sK1_X: $i > $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i ).
thf(tp_sK3_SY19,type,
sK3_SY19: $i > $i > $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $i > $i ).
thf(tp_uri_owl_equivalentClass,type,
uri_owl_equivalentClass: $i ).
thf(tp_uri_rdf_Property,type,
uri_rdf_Property: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdfs_Class,type,
uri_rdfs_Class: $i ).
thf(tp_uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
thf(tp_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
thf(tp_uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
thf(1,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(2,axiom,
! [P1: $i,P2: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
=> ( iext @ P2 @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(3,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(4,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(5,axiom,
ip @ uri_owl_equivalentClass,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
thf(6,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(7,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(8,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(9,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(10,axiom,
! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(11,conjecture,
iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
thf(12,negated_conjecture,
( ( iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,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)],[1]) ).
thf(15,plain,
( ( ! [P1: $i,P2: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
( ( iext @ P1 @ X @ Y )
=> ( iext @ P2 @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,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)],[3]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_equivalentClass @ X @ Y )
=> ( ( ic @ X )
& ( ic @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ip @ uri_owl_equivalentClass )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf ) )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( ~ ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
| ~ ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) )
& ( ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
| ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_equivalentClass @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ C1 @ X ) ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(26,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( iext @ P1 @ ( sK2_X @ P2 @ P1 ) @ ( sK3_SY19 @ P2 @ P1 ) )
& ~ ( iext @ P2 @ ( sK2_X @ P2 @ P1 ) @ ( sK3_SY19 @ P2 @ P1 ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ( iext @ P2 @ X @ Y ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(27,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( icext @ C1 @ ( sK4_X @ C2 @ C1 ) )
& ~ ( icext @ C2 @ ( sK4_X @ C2 @ C1 ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_rdfs_subClassOf @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(28,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_equivalentClass @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ X @ Y )
| ( ic @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(29,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(30,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(31,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(32,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(33,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(34,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(35,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(36,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(37,plain,
( ( ip @ uri_owl_equivalentClass )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(38,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( iext @ uri_owl_equivalentClass @ X @ Y )
| ( ic @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ X @ Y )
| ( ic @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(39,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( icext @ C1 @ ( sK4_X @ C2 @ C1 ) )
& ~ ( icext @ C2 @ ( sK4_X @ C2 @ C1 ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_rdfs_subClassOf @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(40,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( iext @ P1 @ ( sK2_X @ P2 @ P1 ) @ ( sK3_SY19 @ P2 @ P1 ) )
& ~ ( iext @ P2 @ ( sK2_X @ P2 @ P1 ) @ ( sK3_SY19 @ P2 @ P1 ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ( iext @ P2 @ X @ Y ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(41,plain,
( ( ! [C1: $i,C2: $i] :
( ( ( ~ ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
| ~ ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) )
& ( ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
| ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) ) )
| ~ ( ic @ C1 )
| ~ ( ic @ C2 )
| ( iext @ uri_owl_equivalentClass @ C1 @ C2 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ! [X: $i] :
( ~ ( icext @ C1 @ X )
| ( icext @ C2 @ X ) )
& ! [X: $i] :
( ~ ( icext @ C2 @ X )
| ( icext @ C1 @ X ) ) ) )
& ! [C1: $i] :
( ! [C2: $i] :
~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C1 ) )
& ! [C1: $i,C2: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
| ( ic @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(42,plain,
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(43,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( icext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ~ ~ ( icext @ SX1 @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(45,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(46,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) )
| ~ ~ ( iext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(48,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(49,plain,
! [SV1: $i] :
( ( ! [SY20: $i,SY21: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SY20 )
| ! [SY22: $i] :
~ ( iext @ SV1 @ SY21 @ SY22 )
| ( icext @ SY20 @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(50,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_owl_equivalentClass @ uri_rdfs_subClassOf )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( icext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ~ ~ ( icext @ SX1 @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(52,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) )
| ~ ~ ( iext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY23: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
| ! [SY22: $i] :
~ ( iext @ SV1 @ SY23 @ SY22 )
| ( icext @ SV2 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( icext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ~ ~ ( icext @ SX1 @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(66,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) )
| ~ ~ ( iext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(67,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(68,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(69,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(70,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
| ! [SY25: $i] :
~ ( iext @ SV1 @ SV3 @ SY25 )
| ( icext @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( icext @ SX0 @ ( sK4_X @ SX1 @ SX0 ) )
| ~ ~ ( icext @ SX1 @ ( sK4_X @ SX1 @ SX0 ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(72,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
| ~ ( ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
| ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) ) )
| ~ ( ic @ SX0 )
| ~ ( ic @ SX1 )
| ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(74,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(77,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) )
| ~ ~ ( iext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) @ ( sK3_SY19 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(80,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(81,plain,
( ( ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(83,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
| ! [SY25: $i] :
~ ( iext @ SV1 @ SV3 @ SY25 ) )
= $true )
| ( ( icext @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV4: $i] :
( ( ! [SY26: $i] :
( ~ ( ~ ( icext @ SV4 @ ( sK4_X @ SY26 @ SV4 ) )
| ~ ~ ( icext @ SY26 @ ( sK4_X @ SY26 @ SV4 ) ) )
| ~ ( ic @ SV4 )
| ~ ( ic @ SY26 )
| ( iext @ uri_rdfs_subClassOf @ SV4 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(85,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV5: $i] :
( ( ! [SY27: $i] :
( ~ ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SY27 @ SV5 ) )
| ~ ( icext @ SY27 @ ( sK1_X @ SY27 @ SV5 ) ) )
| ~ ( ( icext @ SV5 @ ( sK1_X @ SY27 @ SV5 ) )
| ( icext @ SY27 @ ( sK1_X @ SY27 @ SV5 ) ) ) )
| ~ ( ic @ SV5 )
| ~ ( ic @ SY27 )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV6: $i] :
( ( ! [SY28: $i] :
( ~ ( icext @ SY28 @ SV6 )
| ( iext @ uri_rdf_type @ SV6 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV7: $i] :
( ( ! [SY29: $i] :
( ~ ( iext @ uri_rdf_type @ SV7 @ SY29 )
| ( icext @ SY29 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV8: $i] :
( ( ! [SY30: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV8 @ SY30 )
| ( ic @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV9: $i] :
( ( ! [SY31: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV9 @ SY31 )
| ( ic @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV10: $i] :
( ( ! [SY32: $i] :
( ~ ( ~ ( iext @ SV10 @ ( sK2_X @ SY32 @ SV10 ) @ ( sK3_SY19 @ SY32 @ SV10 ) )
| ~ ~ ( iext @ SY32 @ ( sK2_X @ SY32 @ SV10 ) @ ( sK3_SY19 @ SY32 @ SV10 ) ) )
| ~ ( ip @ SV10 )
| ~ ( ip @ SY32 )
| ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV11: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV11 @ uri_rdf_Property )
| ( ip @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV12: $i] :
( ( ~ ( ip @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ uri_rdf_Property ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV1 @ SV2 ) )
= $true )
| ( ( ! [SY25: $i] :
~ ( iext @ SV1 @ SV3 @ SY25 ) )
= $true )
| ( ( icext @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV13: $i,SV4: $i] :
( ( ~ ( ~ ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
| ~ ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV13 )
| ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(98,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(99,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(100,plain,
! [SV14: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
| ~ ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) )
| ~ ( ic @ SV5 )
| ~ ( ic @ SV14 )
| ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(101,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(102,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(103,plain,
! [SV6: $i,SV15: $i] :
( ( ~ ( icext @ SV15 @ SV6 )
| ( iext @ uri_rdf_type @ SV6 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV16: $i,SV7: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV7 @ SV16 )
| ( icext @ SV16 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV8: $i] :
( ( ( ! [SY30: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV8 @ SY30 ) )
= $true )
| ( ( ic @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV9 @ SV17 )
| ( ic @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV18: $i,SV10: $i] :
( ( ~ ( ~ ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
| ~ ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
| ~ ( ip @ SV10 )
| ~ ( ip @ SV18 )
| ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(109,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(110,plain,
! [SV11: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV11 @ uri_rdf_Property ) )
= $true )
| ( ( ip @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(111,plain,
! [SV12: $i] :
( ( ( ~ ( ip @ SV12 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV12 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(112,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
= $false )
| ( ( ! [SY25: $i] :
~ ( iext @ SV1 @ SV3 @ SY25 ) )
= $true )
| ( ( icext @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(113,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( ~ ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
| ~ ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) )
| ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(114,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(115,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(116,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
| ~ ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) )
| ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( icext @ SX1 @ SX2 )
| ( icext @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(118,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(119,plain,
! [SV6: $i,SV15: $i] :
( ( ( ~ ( icext @ SV15 @ SV6 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(120,plain,
! [SV16: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV7 @ SV16 ) )
= $true )
| ( ( icext @ SV16 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(121,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV8 @ SV19 ) )
= $true )
| ( ( ic @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(122,plain,
! [SV17: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV9 @ SV17 ) )
= $true )
| ( ( ic @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
| ~ ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
| ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(125,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(126,plain,
! [SV11: $i] :
( ( ( iext @ uri_rdf_type @ SV11 @ uri_rdf_Property )
= $false )
| ( ( ip @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(127,plain,
! [SV12: $i] :
( ( ( ip @ SV12 )
= $false )
| ( ( iext @ uri_rdf_type @ SV12 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(128,plain,
! [SV2: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ SV3 @ SV20 ) )
= $true )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
= $false )
| ( ( icext @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(129,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( ~ ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
| ~ ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV21: $i] :
( ( ! [SY33: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV21 @ SY33 )
| ! [SY34: $i] :
( ~ ( icext @ SV21 @ SY34 )
| ( icext @ SY33 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(131,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
| ~ ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(133,plain,
! [SV22: $i] :
( ( ! [SY35: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV22 @ SY35 )
| ~ ( ~ ! [SY36: $i] :
( ~ ( icext @ SV22 @ SY36 )
| ( icext @ SY35 @ SY36 ) )
| ~ ! [SY37: $i] :
( ~ ( icext @ SY35 @ SY37 )
| ( icext @ SV22 @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(134,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV6: $i,SV15: $i] :
( ( ( icext @ SV15 @ SV6 )
= $false )
| ( ( iext @ uri_rdf_type @ SV6 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV16: $i,SV7: $i] :
( ( ( iext @ uri_rdf_type @ SV7 @ SV16 )
= $false )
| ( ( icext @ SV16 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(137,plain,
! [SV19: $i,SV8: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV8 @ SV19 )
= $false )
| ( ( ic @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(138,plain,
! [SV17: $i,SV9: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV9 @ SV17 )
= $false )
| ( ( ic @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(139,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
| ~ ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(140,plain,
! [SV23: $i] :
( ( ! [SY38: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SY38 )
| ! [SY39: $i,SY40: $i] :
( ~ ( iext @ SV23 @ SY39 @ SY40 )
| ( iext @ SY38 @ SY39 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(141,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(142,plain,
! [SV2: $i,SV20: $i,SV3: $i,SV1: $i] :
( ( ( iext @ SV1 @ SV3 @ SV20 )
= $false )
| ( ( iext @ uri_rdfs_domain @ SV1 @ SV2 )
= $false )
| ( ( icext @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(143,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
| ~ ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) )
= $false )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(144,plain,
! [SV24: $i,SV21: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 )
| ! [SY41: $i] :
( ~ ( icext @ SV21 @ SY41 )
| ( icext @ SV24 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(146,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
| ~ ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV25: $i,SV22: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) )
| ~ ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(149,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(151,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
| ~ ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
= $false )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(152,plain,
! [SV26: $i,SV23: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
| ! [SY44: $i,SY45: $i] :
( ~ ( iext @ SV23 @ SY44 @ SY45 )
| ( iext @ SV26 @ SY44 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(153,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(154,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(155,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) ) )
= $false )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(156,plain,
! [SV4: $i,SV13: $i] :
( ( ( ~ ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) )
= $false )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( icext @ SV21 @ SY41 )
| ( icext @ SV24 @ SY41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(158,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(159,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(160,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(161,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(162,plain,
! [SV25: $i,SV22: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) )
| ~ ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(163,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(164,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(165,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
= $false )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(166,plain,
! [SV10: $i,SV18: $i] :
( ( ( ~ ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
= $false )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(167,plain,
! [SV26: $i,SV23: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 ) )
= $true )
| ( ( ! [SY44: $i,SY45: $i] :
( ~ ( iext @ SV23 @ SY44 @ SY45 )
| ( iext @ SV26 @ SY44 @ SY45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(169,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(170,plain,
! [SV13: $i,SV4: $i] :
( ( ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(171,plain,
! [SV4: $i,SV13: $i] :
( ( ( ~ ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) ) )
= $true )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(172,plain,
! [SV24: $i,SV21: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( icext @ SV21 @ SY41 )
| ( icext @ SV24 @ SY41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(173,plain,
! [SV27: $i] :
( ( ! [SY46: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SV27 @ SY46 )
| ( ic @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(174,plain,
! [SV28: $i] :
( ( ! [SY47: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV28 @ SY47 )
| ( ic @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(175,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(176,plain,
! [SV14: $i,SV5: $i] :
( ( ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
| ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(177,plain,
! [SV25: $i,SV22: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false )
| ( ( ~ ( ~ ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) )
| ~ ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV29: $i] :
( ( ! [SY48: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV29 @ SY48 )
| ( ic @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(179,plain,
! [SV30: $i] :
( ( ! [SY49: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ SV30 @ SY49 )
| ( ic @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(180,plain,
! [SV18: $i,SV10: $i] :
( ( ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $true )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(181,plain,
! [SV10: $i,SV18: $i] :
( ( ( ~ ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) ) )
= $true )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(182,plain,
! [SV26: $i,SV23: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
= $false )
| ( ( ! [SY44: $i,SY45: $i] :
( ~ ( iext @ SV23 @ SY44 @ SY45 )
| ( iext @ SV26 @ SY44 @ SY45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(183,plain,
! [SV31: $i] :
( ( ! [SY50: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SV31 @ SY50 )
| ( ip @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(184,plain,
! [SV32: $i] :
( ( ! [SY51: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV32 @ SY51 )
| ( ip @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(185,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(186,plain,
! [SV4: $i,SV13: $i] :
( ( ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) )
= $false )
| ( ( ~ ( ic @ SV4 )
| ~ ( ic @ SV13 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(187,plain,
! [SV24: $i,SV33: $i,SV21: $i] :
( ( ( ~ ( icext @ SV21 @ SV33 )
| ( icext @ SV24 @ SV33 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(188,plain,
! [SV27: $i] :
( ( ( ! [SY46: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SV27 @ SY46 ) )
= $true )
| ( ( ic @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(189,plain,
! [SV34: $i,SV28: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV28 @ SV34 )
| ( ic @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(190,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) ) )
= $true )
| ( ( ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(191,plain,
! [SV14: $i,SV5: $i] :
( ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(192,plain,
! [SV25: $i,SV22: $i] :
( ( ( ~ ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) )
| ~ ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(193,plain,
! [SV29: $i] :
( ( ( ! [SY48: $i] :
~ ( iext @ uri_owl_equivalentClass @ SV29 @ SY48 ) )
= $true )
| ( ( ic @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(194,plain,
! [SV35: $i,SV30: $i] :
( ( ~ ( iext @ uri_owl_equivalentClass @ SV30 @ SV35 )
| ( ic @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(196,plain,
! [SV10: $i,SV18: $i] :
( ( ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $false )
| ( ( ~ ( ip @ SV10 )
| ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(197,plain,
! [SV26: $i,SV36: $i,SV23: $i] :
( ( ( ! [SY52: $i] :
( ~ ( iext @ SV23 @ SV36 @ SY52 )
| ( iext @ SV26 @ SV36 @ SY52 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(198,plain,
! [SV31: $i] :
( ( ( ! [SY50: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SV31 @ SY50 ) )
= $true )
| ( ( ip @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV37: $i,SV32: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV32 @ SV37 )
| ( ip @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(200,plain,
! [SV13: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(201,plain,
! [SV13: $i,SV4: $i] :
( ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(202,plain,
! [SV24: $i,SV33: $i,SV21: $i] :
( ( ( ~ ( icext @ SV21 @ SV33 ) )
= $true )
| ( ( icext @ SV24 @ SV33 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(203,plain,
! [SV38: $i,SV27: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV27 @ SV38 ) )
= $true )
| ( ( ic @ SV27 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(204,plain,
! [SV34: $i,SV28: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV28 @ SV34 ) )
= $true )
| ( ( ic @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(205,plain,
! [SV14: $i,SV5: $i] :
( ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( ~ ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) ) )
= $true )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(206,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 ) )
= $true )
| ( ( ~ ( ic @ SV14 ) )
= $true )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(207,plain,
! [SV25: $i,SV22: $i] :
( ( ( ~ ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(208,plain,
! [SV22: $i,SV25: $i] :
( ( ( ~ ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(209,plain,
! [SV39: $i,SV29: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV29 @ SV39 ) )
= $true )
| ( ( ic @ SV29 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(210,plain,
! [SV35: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV30 @ SV35 ) )
= $true )
| ( ( ic @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(211,plain,
! [SV18: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $false )
| ( ( ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(212,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ip @ SV10 ) )
= $true )
| ( ( ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(213,plain,
! [SV26: $i,SV40: $i,SV36: $i,SV23: $i] :
( ( ( ~ ( iext @ SV23 @ SV36 @ SV40 )
| ( iext @ SV26 @ SV36 @ SV40 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(214,plain,
! [SV41: $i,SV31: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV31 @ SV41 ) )
= $true )
| ( ( ip @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(215,plain,
! [SV37: $i,SV32: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV32 @ SV37 ) )
= $true )
| ( ( ip @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(216,plain,
! [SV4: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV4 @ ( sK4_X @ SV13 @ SV4 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(217,plain,
! [SV13: $i,SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( ~ ( ic @ SV13 ) )
= $true )
| ( ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(218,plain,
! [SV24: $i,SV33: $i,SV21: $i] :
( ( ( icext @ SV21 @ SV33 )
= $false )
| ( ( icext @ SV24 @ SV33 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV21 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(219,plain,
! [SV38: $i,SV27: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV27 @ SV38 )
= $false )
| ( ( ic @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(220,plain,
! [SV34: $i,SV28: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV28 @ SV34 )
= $false )
| ( ( ic @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(221,plain,
! [SV5: $i,SV14: $i] :
( ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( ~ ( ic @ SV5 )
| ~ ( ic @ SV14 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(222,plain,
! [SV14: $i,SV5: $i] :
( ( ( ic @ SV5 )
= $false )
| ( ( ~ ( ic @ SV14 ) )
= $true )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(223,plain,
! [SV25: $i,SV22: $i] :
( ( ( ! [SY42: $i] :
( ~ ( icext @ SV22 @ SY42 )
| ( icext @ SV25 @ SY42 ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(224,plain,
! [SV22: $i,SV25: $i] :
( ( ( ! [SY43: $i] :
( ~ ( icext @ SV25 @ SY43 )
| ( icext @ SV22 @ SY43 ) ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(225,plain,
! [SV39: $i,SV29: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV29 @ SV39 )
= $false )
| ( ( ic @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(226,plain,
! [SV35: $i,SV30: $i] :
( ( ( iext @ uri_owl_equivalentClass @ SV30 @ SV35 )
= $false )
| ( ( ic @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(227,plain,
! [SV10: $i,SV18: $i] :
( ( ( ip @ SV18 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ SV10 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(228,plain,
! [SV18: $i,SV10: $i] :
( ( ( ip @ SV10 )
= $false )
| ( ( ~ ( ip @ SV18 ) )
= $true )
| ( ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(229,plain,
! [SV26: $i,SV40: $i,SV36: $i,SV23: $i] :
( ( ( ~ ( iext @ SV23 @ SV36 @ SV40 ) )
= $true )
| ( ( iext @ SV26 @ SV36 @ SV40 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(230,plain,
! [SV41: $i,SV31: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV31 @ SV41 )
= $false )
| ( ( ip @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(231,plain,
! [SV37: $i,SV32: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV32 @ SV37 )
= $false )
| ( ( ip @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(232,plain,
! [SV4: $i,SV13: $i] :
( ( ( ic @ SV13 )
= $false )
| ( ( ic @ SV4 )
= $false )
| ( ( icext @ SV13 @ ( sK4_X @ SV13 @ SV4 ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(233,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ic @ SV5 ) )
= $true )
| ( ( ~ ( ic @ SV14 ) )
= $true )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(234,plain,
! [SV5: $i,SV14: $i] :
( ( ( ic @ SV14 )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(235,plain,
! [SV25: $i,SV42: $i,SV22: $i] :
( ( ( ~ ( icext @ SV22 @ SV42 )
| ( icext @ SV25 @ SV42 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(236,plain,
! [SV22: $i,SV43: $i,SV25: $i] :
( ( ( ~ ( icext @ SV25 @ SV43 )
| ( icext @ SV22 @ SV43 ) )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV10: $i,SV18: $i] :
( ( ( ip @ SV18 )
= $false )
| ( ( ip @ SV10 )
= $false )
| ( ( iext @ SV18 @ ( sK2_X @ SV18 @ SV10 ) @ ( sK3_SY19 @ SV18 @ SV10 ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV10 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV26: $i,SV40: $i,SV36: $i,SV23: $i] :
( ( ( iext @ SV23 @ SV36 @ SV40 )
= $false )
| ( ( iext @ SV26 @ SV36 @ SV40 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV23 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV14: $i,SV5: $i] :
( ( ( ic @ SV5 )
= $false )
| ( ( ~ ( ic @ SV14 ) )
= $true )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(240,plain,
! [SV25: $i,SV42: $i,SV22: $i] :
( ( ( ~ ( icext @ SV22 @ SV42 ) )
= $true )
| ( ( icext @ SV25 @ SV42 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(241,plain,
! [SV22: $i,SV43: $i,SV25: $i] :
( ( ( ~ ( icext @ SV25 @ SV43 ) )
= $true )
| ( ( icext @ SV22 @ SV43 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(242,plain,
! [SV5: $i,SV14: $i] :
( ( ( ic @ SV14 )
= $false )
| ( ( ic @ SV5 )
= $false )
| ( ( icext @ SV5 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( icext @ SV14 @ ( sK1_X @ SV14 @ SV5 ) )
= $false )
| ( ( iext @ uri_owl_equivalentClass @ SV5 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(243,plain,
! [SV25: $i,SV42: $i,SV22: $i] :
( ( ( icext @ SV22 @ SV42 )
= $false )
| ( ( icext @ SV25 @ SV42 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(244,plain,
! [SV22: $i,SV43: $i,SV25: $i] :
( ( ( icext @ SV25 @ SV43 )
= $false )
| ( ( icext @ SV22 @ SV43 )
= $true )
| ( ( iext @ uri_owl_equivalentClass @ SV22 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(245,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[35,244,243,242,238,237,234,232,231,230,227,226,225,220,219,218,216,142,138,137,136,135,127,126,50,37,36]) ).
thf(246,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 03:28:00 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.37
% 0.21/0.37 No.of.Axioms: 10
% 0.21/0.37
% 0.21/0.37 Length.of.Defs: 0
% 0.21/0.37
% 0.21/0.37 Contains.Choice.Funs: false
% 0.21/0.37 (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.49/0.71
% 0.49/0.71 ********************************
% 0.49/0.71 * All subproblems solved! *
% 0.49/0.71 ********************************
% 0.49/0.71 % 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:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:245,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.55/0.73
% 0.55/0.73 %**** Beginning of derivation protocol ****
% 0.55/0.73 % SZS output start CNFRefutation
% See solution above
% 0.55/0.73
% 0.55/0.73 %**** End of derivation protocol ****
% 0.55/0.73 %**** no. of clauses in derivation: 246 ****
% 0.55/0.73 %**** clause counter: 245 ****
% 0.55/0.73
% 0.55/0.73 % 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:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:245,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------