TSTP Solution File: SWB004+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB004+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 : n023.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 19:13:08 EDT 2022

% Result   : Theorem 0.60s 0.83s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  997 ( 569 unt;  14 typ;   0 def)
%            Number of atoms       : 6821 (1658 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 12937 (2747   ~;2398   |; 104   &;7668   @)
%                                         (  16 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   : 2275 (   0   ^2275   !;   0   ?;2275   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_ic,type,
    ic: $i > $o ).

thf(tp_icext,type,
    icext: $i > $i > $o ).

thf(tp_idc,type,
    idc: $i > $o ).

thf(tp_iext,type,
    iext: $i > $i > $i > $o ).

thf(tp_ir,type,
    ir: $i > $o ).

thf(tp_sK1_X,type,
    sK1_X: $i > $i > $i ).

thf(tp_sK2_X,type,
    sK2_X: $i > $i > $i ).

thf(tp_uri_owl_Class,type,
    uri_owl_Class: $i ).

thf(tp_uri_owl_Thing,type,
    uri_owl_Thing: $i ).

thf(tp_uri_owl_equivalentClass,type,
    uri_owl_equivalentClass: $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_Datatype,type,
    uri_rdfs_Datatype: $i ).

thf(tp_uri_rdfs_subClassOf,type,
    uri_rdfs_subClassOf: $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,
    ! [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(3,axiom,
    ! [X: $i] :
      ( ( icext @ uri_owl_Thing @ X )
    <=> ( ir @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

thf(4,axiom,
    ic @ uri_owl_Thing,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( icext @ uri_rdfs_Datatype @ X )
    <=> ( idc @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

thf(6,axiom,
    ic @ uri_rdfs_Datatype,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( icext @ uri_rdfs_Class @ X )
    <=> ( ic @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

thf(8,axiom,
    ic @ uri_rdfs_Class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( icext @ uri_owl_Class @ X )
    <=> ( ic @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

thf(10,axiom,
    ic @ uri_owl_Class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).

thf(11,axiom,
    ! [X: $i] :
      ( ( idc @ X )
     => ( ic @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

thf(12,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(13,axiom,
    ! [X: $i] : ( ir @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

thf(14,conjecture,
    ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
    & ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
    & ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
    & ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
    & ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

thf(15,negated_conjecture,
    ( ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
      & ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
      & ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
      & ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
      & ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[14]) ).

thf(16,plain,
    ( ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
      & ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
      & ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
      & ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
      & ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) )
    = $false ),
    inference(unfold_def,[status(thm)],[15]) ).

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)],[1]) ).

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)],[2]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_owl_Thing @ X )
        <=> ( ir @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(20,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(21,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_rdfs_Datatype @ X )
        <=> ( idc @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(22,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_rdfs_Class @ X )
        <=> ( ic @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(24,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(25,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_owl_Class @ X )
        <=> ( ic @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(26,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ( idc @ X )
         => ( ic @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(28,plain,
    ( ( ! [X: $i,C: $i] :
          ( ( iext @ uri_rdf_type @ X @ C )
        <=> ( icext @ C @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(29,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(30,plain,
    ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[16]) ).

thf(31,plain,
    ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[16]) ).

thf(32,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[16]) ).

thf(33,plain,
    ( ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[16]) ).

thf(34,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[16]) ).

thf(35,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[30]) ).

thf(36,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[31]) ).

thf(37,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[32]) ).

thf(38,plain,
    ( ( ~ ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[33]) ).

thf(39,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[34]) ).

thf(40,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)],[17]) ).

thf(41,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[18]) ).

thf(42,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(43,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(44,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(45,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(47,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)],[28]) ).

thf(48,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(49,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)],[47]) ).

thf(50,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(51,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(52,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(53,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(54,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(55,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(56,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(57,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(58,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(59,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[41]) ).

thf(60,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)],[40]) ).

thf(61,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(62,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_rdfs_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(63,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Thing @ SX0 )
                | ( ir @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ir @ SX0 )
                | ( icext @ uri_owl_Thing @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(64,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
                | ( idc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( idc @ SX0 )
                | ( icext @ uri_rdfs_Datatype @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(65,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                    | ~ ~ ( icext @ SX1 @ ( sK2_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)],[59]) ).

thf(66,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)],[60]) ).

thf(67,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_owl_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(68,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)],[49]) ).

thf(69,plain,
    ! [SV1: $i] :
      ( ( ir @ SV1 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(70,plain,
    ! [SV2: $i] :
      ( ( ~ ( idc @ SV2 )
        | ( ic @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(71,plain,
    ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Thing )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(72,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(73,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(74,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(75,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_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)],[65]) ).

thf(76,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)],[66]) ).

thf(77,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(78,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)],[68]) ).

thf(79,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( idc @ SV2 ) )
        = $true )
      | ( ( ic @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(80,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(81,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(82,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(83,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(84,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(85,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(86,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[75]) ).

thf(87,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)],[75]) ).

thf(88,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)],[76]) ).

thf(89,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)],[76]) ).

thf(90,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[77]) ).

thf(91,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[77]) ).

thf(92,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(93,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(94,plain,
    ! [SV2: $i] :
      ( ( ( idc @ SV2 )
        = $false )
      | ( ( ic @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(95,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[80]) ).

thf(96,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(97,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Thing @ SX0 )
          | ( ir @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(98,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ir @ SX0 )
          | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(99,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
          | ( idc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(100,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( idc @ SX0 )
          | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(101,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
              | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[86]) ).

thf(102,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)],[87]) ).

thf(103,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)],[88]) ).

thf(104,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)],[89]) ).

thf(105,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(106,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[91]) ).

thf(107,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[92]) ).

thf(108,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[93]) ).

thf(109,plain,
    ! [SV3: $i] :
      ( ( ~ ( ic @ SV3 )
        | ( icext @ uri_rdfs_Class @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(110,plain,
    ! [SV4: $i] :
      ( ( ~ ( icext @ uri_rdfs_Class @ SV4 )
        | ( ic @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(111,plain,
    ! [SV5: $i] :
      ( ( ~ ( icext @ uri_owl_Thing @ SV5 )
        | ( ir @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(112,plain,
    ! [SV6: $i] :
      ( ( ~ ( ir @ SV6 )
        | ( icext @ uri_owl_Thing @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(113,plain,
    ! [SV7: $i] :
      ( ( ~ ( icext @ uri_rdfs_Datatype @ SV7 )
        | ( idc @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(114,plain,
    ! [SV8: $i] :
      ( ( ~ ( idc @ SV8 )
        | ( icext @ uri_rdfs_Datatype @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(115,plain,
    ! [SV9: $i] :
      ( ( ! [SY14: $i] :
            ( ~ ( ~ ( icext @ SV9 @ ( sK2_X @ SY14 @ SV9 ) )
                | ~ ~ ( icext @ SY14 @ ( sK2_X @ SY14 @ SV9 ) ) )
            | ~ ( ic @ SV9 )
            | ~ ( ic @ SY14 )
            | ( iext @ uri_rdfs_subClassOf @ SV9 @ SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(116,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)],[102]) ).

thf(117,plain,
    ! [SV10: $i] :
      ( ( ! [SY15: $i] :
            ( ~ ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SY15 @ SV10 ) )
                    | ~ ( icext @ SY15 @ ( sK1_X @ SY15 @ SV10 ) ) )
                | ~ ( ( icext @ SV10 @ ( sK1_X @ SY15 @ SV10 ) )
                    | ( icext @ SY15 @ ( sK1_X @ SY15 @ SV10 ) ) ) )
            | ~ ( ic @ SV10 )
            | ~ ( ic @ SY15 )
            | ( iext @ uri_owl_equivalentClass @ SV10 @ SY15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(118,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)],[104]) ).

thf(119,plain,
    ! [SV11: $i] :
      ( ( ~ ( ic @ SV11 )
        | ( icext @ uri_owl_Class @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[105]) ).

thf(120,plain,
    ! [SV12: $i] :
      ( ( ~ ( icext @ uri_owl_Class @ SV12 )
        | ( ic @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(121,plain,
    ! [SV13: $i] :
      ( ( ! [SY16: $i] :
            ( ~ ( icext @ SY16 @ SV13 )
            | ( iext @ uri_rdf_type @ SV13 @ SY16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(122,plain,
    ! [SV14: $i] :
      ( ( ! [SY17: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV14 @ SY17 )
            | ( icext @ SY17 @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(123,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ic @ SV3 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Class @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[109]) ).

thf(124,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Class @ SV4 ) )
        = $true )
      | ( ( ic @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[110]) ).

thf(125,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( icext @ uri_owl_Thing @ SV5 ) )
        = $true )
      | ( ( ir @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[111]) ).

thf(126,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ir @ SV6 ) )
        = $true )
      | ( ( icext @ uri_owl_Thing @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[112]) ).

thf(127,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV7 ) )
        = $true )
      | ( ( idc @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[113]) ).

thf(128,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( idc @ SV8 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Datatype @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(129,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ~ ( ~ ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
            | ~ ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) )
        | ~ ( ic @ SV9 )
        | ~ ( ic @ SV15 )
        | ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(130,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)],[116]) ).

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_or_neg,[status(thm)],[116]) ).

thf(132,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ~ ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
            | ~ ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) )
        | ~ ( ic @ SV10 )
        | ~ ( ic @ SV16 )
        | ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(133,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)],[118]) ).

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_or_neg,[status(thm)],[118]) ).

thf(135,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( ic @ SV11 ) )
        = $true )
      | ( ( icext @ uri_owl_Class @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[119]) ).

thf(136,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( icext @ uri_owl_Class @ SV12 ) )
        = $true )
      | ( ( ic @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[120]) ).

thf(137,plain,
    ! [SV13: $i,SV17: $i] :
      ( ( ~ ( icext @ SV17 @ SV13 )
        | ( iext @ uri_rdf_type @ SV13 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(138,plain,
    ! [SV18: $i,SV14: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV14 @ SV18 )
        | ( icext @ SV18 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[122]) ).

thf(139,plain,
    ! [SV3: $i] :
      ( ( ( ic @ SV3 )
        = $false )
      | ( ( icext @ uri_rdfs_Class @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(140,plain,
    ! [SV4: $i] :
      ( ( ( icext @ uri_rdfs_Class @ SV4 )
        = $false )
      | ( ( ic @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(141,plain,
    ! [SV5: $i] :
      ( ( ( icext @ uri_owl_Thing @ SV5 )
        = $false )
      | ( ( ir @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[125]) ).

thf(142,plain,
    ! [SV6: $i] :
      ( ( ( ir @ SV6 )
        = $false )
      | ( ( icext @ uri_owl_Thing @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(143,plain,
    ! [SV7: $i] :
      ( ( ( icext @ uri_rdfs_Datatype @ SV7 )
        = $false )
      | ( ( idc @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(144,plain,
    ! [SV8: $i] :
      ( ( ( idc @ SV8 )
        = $false )
      | ( ( icext @ uri_rdfs_Datatype @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(145,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
              | ~ ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) )
          | ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[129]) ).

thf(146,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)],[130]) ).

thf(147,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)],[131]) ).

thf(148,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                  | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
              | ~ ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                  | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) )
          | ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(149,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)],[133]) ).

thf(150,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)],[134]) ).

thf(151,plain,
    ! [SV11: $i] :
      ( ( ( ic @ SV11 )
        = $false )
      | ( ( icext @ uri_owl_Class @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(152,plain,
    ! [SV12: $i] :
      ( ( ( icext @ uri_owl_Class @ SV12 )
        = $false )
      | ( ( ic @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(153,plain,
    ! [SV13: $i,SV17: $i] :
      ( ( ( ~ ( icext @ SV17 @ SV13 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV13 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[137]) ).

thf(154,plain,
    ! [SV18: $i,SV14: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV14 @ SV18 ) )
        = $true )
      | ( ( icext @ SV18 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[138]) ).

thf(155,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
              | ~ ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(156,plain,
    ! [SV19: $i] :
      ( ( ! [SY18: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV19 @ SY18 )
            | ! [SY19: $i] :
                ( ~ ( icext @ SV19 @ SY19 )
                | ( icext @ SY18 @ SY19 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(157,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)],[147]) ).

thf(158,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                  | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
              | ~ ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
                  | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(159,plain,
    ! [SV20: $i] :
      ( ( ! [SY20: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV20 @ SY20 )
            | ~ ( ~ ! [SY21: $i] :
                      ( ~ ( icext @ SV20 @ SY21 )
                      | ( icext @ SY20 @ SY21 ) )
                | ~ ! [SY22: $i] :
                      ( ~ ( icext @ SY20 @ SY22 )
                      | ( icext @ SV20 @ SY22 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(160,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)],[150]) ).

thf(161,plain,
    ! [SV13: $i,SV17: $i] :
      ( ( ( icext @ SV17 @ SV13 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV13 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(162,plain,
    ! [SV18: $i,SV14: $i] :
      ( ( ( iext @ uri_rdf_type @ SV14 @ SV18 )
        = $false )
      | ( ( icext @ SV18 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[154]) ).

thf(163,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
          | ~ ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(164,plain,
    ! [SV21: $i,SV19: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 )
        | ! [SY23: $i] :
            ( ~ ( icext @ SV19 @ SY23 )
            | ( icext @ SV21 @ SY23 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(165,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[157]) ).

thf(166,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[157]) ).

thf(167,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
              | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
          | ~ ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
              | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(168,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        | ~ ( ~ ! [SY24: $i] :
                  ( ~ ( icext @ SV20 @ SY24 )
                  | ( icext @ SV22 @ SY24 ) )
            | ~ ! [SY25: $i] :
                  ( ~ ( icext @ SV22 @ SY25 )
                  | ( icext @ SV20 @ SY25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(169,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(170,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(171,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(172,plain,
    ! [SV9: $i,SV15: $i] :
      ( ( ( ~ ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(173,plain,
    ! [SV21: $i,SV19: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 ) )
        = $true )
      | ( ( ! [SY23: $i] :
              ( ~ ( icext @ SV19 @ SY23 )
              | ( icext @ SV21 @ SY23 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(174,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[165]) ).

thf(175,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[166]) ).

thf(176,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
              | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(177,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
              | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(178,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY24: $i] :
                    ( ~ ( icext @ SV20 @ SY24 )
                    | ( icext @ SV22 @ SY24 ) )
              | ~ ! [SY25: $i] :
                    ( ~ ( icext @ SV22 @ SY25 )
                    | ( icext @ SV20 @ SY25 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(179,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[169]) ).

thf(180,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[170]) ).

thf(181,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[171]) ).

thf(182,plain,
    ! [SV9: $i,SV15: $i] :
      ( ( ( ~ ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(183,plain,
    ! [SV21: $i,SV19: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 )
        = $false )
      | ( ( ! [SY23: $i] :
              ( ~ ( icext @ SV19 @ SY23 )
              | ( icext @ SV21 @ SY23 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(184,plain,
    ! [SV23: $i] :
      ( ( ! [SY26: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV23 @ SY26 )
        | ( ic @ SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(185,plain,
    ! [SV24: $i] :
      ( ( ! [SY27: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV24 @ SY27 )
            | ( ic @ SY27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(186,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
          | ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[176]) ).

thf(187,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
          | ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[177]) ).

thf(188,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false )
      | ( ( ~ ( ~ ! [SY24: $i] :
                    ( ~ ( icext @ SV20 @ SY24 )
                    | ( icext @ SV22 @ SY24 ) )
              | ~ ! [SY25: $i] :
                    ( ~ ( icext @ SV22 @ SY25 )
                    | ( icext @ SV20 @ SY25 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(189,plain,
    ! [SV25: $i] :
      ( ( ! [SY28: $i] :
            ~ ( iext @ uri_owl_equivalentClass @ SV25 @ SY28 )
        | ( ic @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(190,plain,
    ! [SV26: $i] :
      ( ( ! [SY29: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV26 @ SY29 )
            | ( ic @ SY29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(191,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV15 ) )
        = $true )
      | ( ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(192,plain,
    ! [SV9: $i,SV15: $i] :
      ( ( ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) )
        = $false )
      | ( ( ~ ( ic @ SV9 )
          | ~ ( ic @ SV15 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(193,plain,
    ! [SV21: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ SV27 )
          | ( icext @ SV21 @ SV27 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(194,plain,
    ! [SV23: $i] :
      ( ( ( ! [SY26: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV23 @ SY26 ) )
        = $true )
      | ( ( ic @ SV23 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(195,plain,
    ! [SV28: $i,SV24: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV24 @ SV28 )
        | ( ic @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(196,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(197,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[187]) ).

thf(198,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ( ~ ! [SY24: $i] :
                ( ~ ( icext @ SV20 @ SY24 )
                | ( icext @ SV22 @ SY24 ) )
          | ~ ! [SY25: $i] :
                ( ~ ( icext @ SV22 @ SY25 )
                | ( icext @ SV20 @ SY25 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(199,plain,
    ! [SV25: $i] :
      ( ( ( ! [SY28: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SV25 @ SY28 ) )
        = $true )
      | ( ( ic @ SV25 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(200,plain,
    ! [SV29: $i,SV26: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV26 @ SV29 )
        | ( ic @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(201,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $false )
      | ( ( ~ ( ic @ SV15 ) )
        = $true )
      | ( ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(202,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV15 ) )
        = $true )
      | ( ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(203,plain,
    ! [SV21: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ SV27 ) )
        = $true )
      | ( ( icext @ SV21 @ SV27 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(204,plain,
    ! [SV30: $i,SV23: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV23 @ SV30 ) )
        = $true )
      | ( ( ic @ SV23 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[194]) ).

thf(205,plain,
    ! [SV28: $i,SV24: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV24 @ SV28 ) )
        = $true )
      | ( ( ic @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(206,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( ~ ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(207,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(208,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ( ~ ! [SY24: $i] :
                ( ~ ( icext @ SV20 @ SY24 )
                | ( icext @ SV22 @ SY24 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(209,plain,
    ! [SV20: $i,SV22: $i] :
      ( ( ( ~ ! [SY25: $i] :
                ( ~ ( icext @ SV22 @ SY25 )
                | ( icext @ SV20 @ SY25 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(210,plain,
    ! [SV31: $i,SV25: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV25 @ SV31 ) )
        = $true )
      | ( ( ic @ SV25 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[199]) ).

thf(211,plain,
    ! [SV29: $i,SV26: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV26 @ SV29 ) )
        = $true )
      | ( ( ic @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[200]) ).

thf(212,plain,
    ! [SV9: $i,SV15: $i] :
      ( ( ( ic @ SV15 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( icext @ SV9 @ ( sK2_X @ SV15 @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(213,plain,
    ! [SV15: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $false )
      | ( ( ~ ( ic @ SV15 ) )
        = $true )
      | ( ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(214,plain,
    ! [SV21: $i,SV27: $i,SV19: $i] :
      ( ( ( icext @ SV19 @ SV27 )
        = $false )
      | ( ( icext @ SV21 @ SV27 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV19 @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(215,plain,
    ! [SV30: $i,SV23: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV23 @ SV30 )
        = $false )
      | ( ( ic @ SV23 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(216,plain,
    ! [SV28: $i,SV24: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV24 @ SV28 )
        = $false )
      | ( ( ic @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(217,plain,
    ! [SV10: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( ~ ( ic @ SV10 )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(218,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ic @ SV10 )
        = $false )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(219,plain,
    ! [SV22: $i,SV20: $i] :
      ( ( ( ! [SY24: $i] :
              ( ~ ( icext @ SV20 @ SY24 )
              | ( icext @ SV22 @ SY24 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[208]) ).

thf(220,plain,
    ! [SV20: $i,SV22: $i] :
      ( ( ( ! [SY25: $i] :
              ( ~ ( icext @ SV22 @ SY25 )
              | ( icext @ SV20 @ SY25 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[209]) ).

thf(221,plain,
    ! [SV31: $i,SV25: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV25 @ SV31 )
        = $false )
      | ( ( ic @ SV25 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(222,plain,
    ! [SV29: $i,SV26: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV26 @ SV29 )
        = $false )
      | ( ( ic @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(223,plain,
    ! [SV9: $i,SV15: $i] :
      ( ( ( ic @ SV15 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( icext @ SV15 @ ( sK2_X @ SV15 @ SV9 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(224,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[217]) ).

thf(225,plain,
    ! [SV10: $i,SV16: $i] :
      ( ( ( ic @ SV16 )
        = $false )
      | ( ( ic @ SV10 )
        = $false )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(226,plain,
    ! [SV22: $i,SV32: $i,SV20: $i] :
      ( ( ( ~ ( icext @ SV20 @ SV32 )
          | ( icext @ SV22 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(227,plain,
    ! [SV20: $i,SV33: $i,SV22: $i] :
      ( ( ( ~ ( icext @ SV22 @ SV33 )
          | ( icext @ SV20 @ SV33 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(228,plain,
    ! [SV16: $i,SV10: $i] :
      ( ( ( ic @ SV10 )
        = $false )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(229,plain,
    ! [SV22: $i,SV32: $i,SV20: $i] :
      ( ( ( ~ ( icext @ SV20 @ SV32 ) )
        = $true )
      | ( ( icext @ SV22 @ SV32 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[226]) ).

thf(230,plain,
    ! [SV20: $i,SV33: $i,SV22: $i] :
      ( ( ( ~ ( icext @ SV22 @ SV33 ) )
        = $true )
      | ( ( icext @ SV20 @ SV33 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(231,plain,
    ! [SV10: $i,SV16: $i] :
      ( ( ( ic @ SV16 )
        = $false )
      | ( ( ic @ SV10 )
        = $false )
      | ( ( icext @ SV10 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK1_X @ SV16 @ SV10 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV10 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(232,plain,
    ! [SV22: $i,SV32: $i,SV20: $i] :
      ( ( ( icext @ SV20 @ SV32 )
        = $false )
      | ( ( icext @ SV22 @ SV32 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(233,plain,
    ! [SV20: $i,SV33: $i,SV22: $i] :
      ( ( ( icext @ SV22 @ SV33 )
        = $false )
      | ( ( icext @ SV20 @ SV33 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV20 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(234,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[51,233,232,231,225,223,222,221,216,215,214,212,162,161,152,151,144,143,142,141,140,139,94,71,69,57,55,53]) ).

thf(235,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(236,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)],[47]) ).

thf(237,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(238,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(239,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(240,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(241,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(242,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(243,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(244,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(245,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(246,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[41]) ).

thf(247,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)],[40]) ).

thf(248,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(249,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Thing @ SX0 )
                | ( ir @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ir @ SX0 )
                | ( icext @ uri_owl_Thing @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(250,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)],[236]) ).

thf(251,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_rdfs_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(252,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
                | ( idc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( idc @ SX0 )
                | ( icext @ uri_rdfs_Datatype @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(253,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)],[247]) ).

thf(254,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                    | ~ ~ ( icext @ SX1 @ ( sK2_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)],[246]) ).

thf(255,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_owl_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(256,plain,
    ! [SV34: $i] :
      ( ( ir @ SV34 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(257,plain,
    ! [SV35: $i] :
      ( ( ~ ( idc @ SV35 )
        | ( ic @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(258,plain,
    ( ( iext @ uri_rdf_type @ uri_owl_Class @ uri_owl_Class )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(259,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(260,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)],[250]) ).

thf(261,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(262,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(263,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)],[253]) ).

thf(264,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_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)],[254]) ).

thf(265,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(266,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( idc @ SV35 ) )
        = $true )
      | ( ( ic @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[257]) ).

thf(267,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(268,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(269,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(270,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(271,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(272,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(273,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(274,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[262]) ).

thf(275,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)],[263]) ).

thf(276,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)],[263]) ).

thf(277,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[264]) ).

thf(278,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)],[264]) ).

thf(279,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[265]) ).

thf(280,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[265]) ).

thf(281,plain,
    ! [SV35: $i] :
      ( ( ( idc @ SV35 )
        = $false )
      | ( ( ic @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(282,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Thing @ SX0 )
          | ( ir @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(283,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ir @ SX0 )
          | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(284,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[269]) ).

thf(285,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(286,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(287,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(288,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
          | ( idc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(289,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( idc @ SX0 )
          | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(290,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)],[275]) ).

thf(291,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)],[276]) ).

thf(292,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
              | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[277]) ).

thf(293,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)],[278]) ).

thf(294,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[279]) ).

thf(295,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(296,plain,
    ! [SV36: $i] :
      ( ( ~ ( icext @ uri_owl_Thing @ SV36 )
        | ( ir @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(297,plain,
    ! [SV37: $i] :
      ( ( ~ ( ir @ SV37 )
        | ( icext @ uri_owl_Thing @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(298,plain,
    ! [SV38: $i] :
      ( ( ! [SY30: $i] :
            ( ~ ( icext @ SY30 @ SV38 )
            | ( iext @ uri_rdf_type @ SV38 @ SY30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(299,plain,
    ! [SV39: $i] :
      ( ( ! [SY31: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV39 @ SY31 )
            | ( icext @ SY31 @ SV39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(300,plain,
    ! [SV40: $i] :
      ( ( ~ ( ic @ SV40 )
        | ( icext @ uri_rdfs_Class @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(301,plain,
    ! [SV41: $i] :
      ( ( ~ ( icext @ uri_rdfs_Class @ SV41 )
        | ( ic @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(302,plain,
    ! [SV42: $i] :
      ( ( ~ ( icext @ uri_rdfs_Datatype @ SV42 )
        | ( idc @ SV42 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(303,plain,
    ! [SV43: $i] :
      ( ( ~ ( idc @ SV43 )
        | ( icext @ uri_rdfs_Datatype @ SV43 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(304,plain,
    ! [SV44: $i] :
      ( ( ! [SY32: $i] :
            ( ~ ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SY32 @ SV44 ) )
                    | ~ ( icext @ SY32 @ ( sK1_X @ SY32 @ SV44 ) ) )
                | ~ ( ( icext @ SV44 @ ( sK1_X @ SY32 @ SV44 ) )
                    | ( icext @ SY32 @ ( sK1_X @ SY32 @ SV44 ) ) ) )
            | ~ ( ic @ SV44 )
            | ~ ( ic @ SY32 )
            | ( iext @ uri_owl_equivalentClass @ SV44 @ SY32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(305,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)],[291]) ).

thf(306,plain,
    ! [SV45: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( ~ ( icext @ SV45 @ ( sK2_X @ SY33 @ SV45 ) )
                | ~ ~ ( icext @ SY33 @ ( sK2_X @ SY33 @ SV45 ) ) )
            | ~ ( ic @ SV45 )
            | ~ ( ic @ SY33 )
            | ( iext @ uri_rdfs_subClassOf @ SV45 @ SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(307,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)],[293]) ).

thf(308,plain,
    ! [SV46: $i] :
      ( ( ~ ( ic @ SV46 )
        | ( icext @ uri_owl_Class @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(309,plain,
    ! [SV47: $i] :
      ( ( ~ ( icext @ uri_owl_Class @ SV47 )
        | ( ic @ SV47 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(310,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( icext @ uri_owl_Thing @ SV36 ) )
        = $true )
      | ( ( ir @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(311,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( ir @ SV37 ) )
        = $true )
      | ( ( icext @ uri_owl_Thing @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(312,plain,
    ! [SV38: $i,SV48: $i] :
      ( ( ~ ( icext @ SV48 @ SV38 )
        | ( iext @ uri_rdf_type @ SV38 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(313,plain,
    ! [SV49: $i,SV39: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV39 @ SV49 )
        | ( icext @ SV49 @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(314,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ic @ SV40 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Class @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[300]) ).

thf(315,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Class @ SV41 ) )
        = $true )
      | ( ( ic @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[301]) ).

thf(316,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV42 ) )
        = $true )
      | ( ( idc @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(317,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( idc @ SV43 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Datatype @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(318,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ~ ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
            | ~ ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) )
        | ~ ( ic @ SV44 )
        | ~ ( ic @ SV50 )
        | ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(319,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)],[305]) ).

thf(320,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)],[305]) ).

thf(321,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ~ ( ~ ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
            | ~ ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) )
        | ~ ( ic @ SV45 )
        | ~ ( ic @ SV51 )
        | ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(322,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)],[307]) ).

thf(323,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)],[307]) ).

thf(324,plain,
    ! [SV46: $i] :
      ( ( ( ~ ( ic @ SV46 ) )
        = $true )
      | ( ( icext @ uri_owl_Class @ SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(325,plain,
    ! [SV47: $i] :
      ( ( ( ~ ( icext @ uri_owl_Class @ SV47 ) )
        = $true )
      | ( ( ic @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[309]) ).

thf(326,plain,
    ! [SV36: $i] :
      ( ( ( icext @ uri_owl_Thing @ SV36 )
        = $false )
      | ( ( ir @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(327,plain,
    ! [SV37: $i] :
      ( ( ( ir @ SV37 )
        = $false )
      | ( ( icext @ uri_owl_Thing @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(328,plain,
    ! [SV38: $i,SV48: $i] :
      ( ( ( ~ ( icext @ SV48 @ SV38 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV38 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(329,plain,
    ! [SV49: $i,SV39: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV39 @ SV49 ) )
        = $true )
      | ( ( icext @ SV49 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[313]) ).

thf(330,plain,
    ! [SV40: $i] :
      ( ( ( ic @ SV40 )
        = $false )
      | ( ( icext @ uri_rdfs_Class @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(331,plain,
    ! [SV41: $i] :
      ( ( ( icext @ uri_rdfs_Class @ SV41 )
        = $false )
      | ( ( ic @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(332,plain,
    ! [SV42: $i] :
      ( ( ( icext @ uri_rdfs_Datatype @ SV42 )
        = $false )
      | ( ( idc @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(333,plain,
    ! [SV43: $i] :
      ( ( ( idc @ SV43 )
        = $false )
      | ( ( icext @ uri_rdfs_Datatype @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[317]) ).

thf(334,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                  | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
              | ~ ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                  | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) )
          | ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(335,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)],[319]) ).

thf(336,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)],[320]) ).

thf(337,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
              | ~ ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) )
          | ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(338,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)],[322]) ).

thf(339,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)],[323]) ).

thf(340,plain,
    ! [SV46: $i] :
      ( ( ( ic @ SV46 )
        = $false )
      | ( ( icext @ uri_owl_Class @ SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[324]) ).

thf(341,plain,
    ! [SV47: $i] :
      ( ( ( icext @ uri_owl_Class @ SV47 )
        = $false )
      | ( ( ic @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(342,plain,
    ! [SV38: $i,SV48: $i] :
      ( ( ( icext @ SV48 @ SV38 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV38 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(343,plain,
    ! [SV49: $i,SV39: $i] :
      ( ( ( iext @ uri_rdf_type @ SV39 @ SV49 )
        = $false )
      | ( ( icext @ SV49 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(344,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                  | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
              | ~ ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
                  | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(345,plain,
    ! [SV52: $i] :
      ( ( ! [SY34: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV52 @ SY34 )
            | ~ ( ~ ! [SY35: $i] :
                      ( ~ ( icext @ SV52 @ SY35 )
                      | ( icext @ SY34 @ SY35 ) )
                | ~ ! [SY36: $i] :
                      ( ~ ( icext @ SY34 @ SY36 )
                      | ( icext @ SV52 @ SY36 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(346,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)],[336]) ).

thf(347,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
              | ~ ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(348,plain,
    ! [SV53: $i] :
      ( ( ! [SY37: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV53 @ SY37 )
            | ! [SY38: $i] :
                ( ~ ( icext @ SV53 @ SY38 )
                | ( icext @ SY37 @ SY38 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(349,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)],[339]) ).

thf(350,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
              | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
          | ~ ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
              | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(351,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        | ~ ( ~ ! [SY39: $i] :
                  ( ~ ( icext @ SV52 @ SY39 )
                  | ( icext @ SV54 @ SY39 ) )
            | ~ ! [SY40: $i] :
                  ( ~ ( icext @ SV54 @ SY40 )
                  | ( icext @ SV52 @ SY40 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(352,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[346]) ).

thf(353,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[346]) ).

thf(354,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
          | ~ ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(355,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 )
        | ! [SY41: $i] :
            ( ~ ( icext @ SV53 @ SY41 )
            | ( icext @ SV55 @ SY41 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(356,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[349]) ).

thf(357,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[349]) ).

thf(358,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
              | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(359,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
              | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(360,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY39: $i] :
                    ( ~ ( icext @ SV52 @ SY39 )
                    | ( icext @ SV54 @ SY39 ) )
              | ~ ! [SY40: $i] :
                    ( ~ ( icext @ SV54 @ SY40 )
                    | ( icext @ SV52 @ SY40 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[351]) ).

thf(361,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[352]) ).

thf(362,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[353]) ).

thf(363,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(364,plain,
    ! [SV45: $i,SV51: $i] :
      ( ( ( ~ ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(365,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 ) )
        = $true )
      | ( ( ! [SY41: $i] :
              ( ~ ( icext @ SV53 @ SY41 )
              | ( icext @ SV55 @ SY41 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[355]) ).

thf(366,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(367,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[357]) ).

thf(368,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
          | ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(369,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
          | ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(370,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false )
      | ( ( ~ ( ~ ! [SY39: $i] :
                    ( ~ ( icext @ SV52 @ SY39 )
                    | ( icext @ SV54 @ SY39 ) )
              | ~ ! [SY40: $i] :
                    ( ~ ( icext @ SV54 @ SY40 )
                    | ( icext @ SV52 @ SY40 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(371,plain,
    ! [SV56: $i] :
      ( ( ! [SY42: $i] :
            ~ ( iext @ uri_owl_equivalentClass @ SV56 @ SY42 )
        | ( ic @ SV56 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(372,plain,
    ! [SV57: $i] :
      ( ( ! [SY43: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV57 @ SY43 )
            | ( ic @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(373,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
        = $true )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(374,plain,
    ! [SV45: $i,SV51: $i] :
      ( ( ( ~ ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(375,plain,
    ! [SV55: $i,SV53: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 )
        = $false )
      | ( ( ! [SY41: $i] :
              ( ~ ( icext @ SV53 @ SY41 )
              | ( icext @ SV55 @ SY41 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(376,plain,
    ! [SV58: $i] :
      ( ( ! [SY44: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV58 @ SY44 )
        | ( ic @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(377,plain,
    ! [SV59: $i] :
      ( ( ! [SY45: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV59 @ SY45 )
            | ( ic @ SY45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(378,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(379,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(380,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ( ~ ! [SY39: $i] :
                ( ~ ( icext @ SV52 @ SY39 )
                | ( icext @ SV54 @ SY39 ) )
          | ~ ! [SY40: $i] :
                ( ~ ( icext @ SV54 @ SY40 )
                | ( icext @ SV52 @ SY40 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(381,plain,
    ! [SV56: $i] :
      ( ( ( ! [SY42: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SV56 @ SY42 ) )
        = $true )
      | ( ( ic @ SV56 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[371]) ).

thf(382,plain,
    ! [SV60: $i,SV57: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV57 @ SV60 )
        | ( ic @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(383,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( ic @ SV45 ) )
        = $true )
      | ( ( ~ ( ic @ SV51 ) )
        = $true )
      | ( ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(384,plain,
    ! [SV45: $i,SV51: $i] :
      ( ( ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) )
        = $false )
      | ( ( ~ ( ic @ SV45 )
          | ~ ( ic @ SV51 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(385,plain,
    ! [SV55: $i,SV61: $i,SV53: $i] :
      ( ( ( ~ ( icext @ SV53 @ SV61 )
          | ( icext @ SV55 @ SV61 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(386,plain,
    ! [SV58: $i] :
      ( ( ( ! [SY44: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV58 @ SY44 ) )
        = $true )
      | ( ( ic @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(387,plain,
    ! [SV62: $i,SV59: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV59 @ SV62 )
        | ( ic @ SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(388,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( ~ ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(389,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ic @ SV44 ) )
        = $true )
      | ( ( ~ ( ic @ SV50 ) )
        = $true )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(390,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ( ~ ! [SY39: $i] :
                ( ~ ( icext @ SV52 @ SY39 )
                | ( icext @ SV54 @ SY39 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[380]) ).

thf(391,plain,
    ! [SV52: $i,SV54: $i] :
      ( ( ( ~ ! [SY40: $i] :
                ( ~ ( icext @ SV54 @ SY40 )
                | ( icext @ SV52 @ SY40 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[380]) ).

thf(392,plain,
    ! [SV63: $i,SV56: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV56 @ SV63 ) )
        = $true )
      | ( ( ic @ SV56 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(393,plain,
    ! [SV60: $i,SV57: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV57 @ SV60 ) )
        = $true )
      | ( ( ic @ SV60 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(394,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ic @ SV45 )
        = $false )
      | ( ( ~ ( ic @ SV51 ) )
        = $true )
      | ( ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(395,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ~ ( ic @ SV45 ) )
        = $true )
      | ( ( ~ ( ic @ SV51 ) )
        = $true )
      | ( ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(396,plain,
    ! [SV55: $i,SV61: $i,SV53: $i] :
      ( ( ( ~ ( icext @ SV53 @ SV61 ) )
        = $true )
      | ( ( icext @ SV55 @ SV61 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(397,plain,
    ! [SV64: $i,SV58: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV58 @ SV64 ) )
        = $true )
      | ( ( ic @ SV58 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(398,plain,
    ! [SV62: $i,SV59: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV59 @ SV62 ) )
        = $true )
      | ( ( ic @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(399,plain,
    ! [SV44: $i,SV50: $i] :
      ( ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( ~ ( ic @ SV44 )
          | ~ ( ic @ SV50 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(400,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ic @ SV44 )
        = $false )
      | ( ( ~ ( ic @ SV50 ) )
        = $true )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(401,plain,
    ! [SV54: $i,SV52: $i] :
      ( ( ( ! [SY39: $i] :
              ( ~ ( icext @ SV52 @ SY39 )
              | ( icext @ SV54 @ SY39 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[390]) ).

thf(402,plain,
    ! [SV52: $i,SV54: $i] :
      ( ( ( ! [SY40: $i] :
              ( ~ ( icext @ SV54 @ SY40 )
              | ( icext @ SV52 @ SY40 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[391]) ).

thf(403,plain,
    ! [SV63: $i,SV56: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV56 @ SV63 )
        = $false )
      | ( ( ic @ SV56 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(404,plain,
    ! [SV60: $i,SV57: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV57 @ SV60 )
        = $false )
      | ( ( ic @ SV60 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(405,plain,
    ! [SV45: $i,SV51: $i] :
      ( ( ( ic @ SV51 )
        = $false )
      | ( ( ic @ SV45 )
        = $false )
      | ( ( icext @ SV45 @ ( sK2_X @ SV51 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(406,plain,
    ! [SV51: $i,SV45: $i] :
      ( ( ( ic @ SV45 )
        = $false )
      | ( ( ~ ( ic @ SV51 ) )
        = $true )
      | ( ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(407,plain,
    ! [SV55: $i,SV61: $i,SV53: $i] :
      ( ( ( icext @ SV53 @ SV61 )
        = $false )
      | ( ( icext @ SV55 @ SV61 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV53 @ SV55 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(408,plain,
    ! [SV64: $i,SV58: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV58 @ SV64 )
        = $false )
      | ( ( ic @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(409,plain,
    ! [SV62: $i,SV59: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV59 @ SV62 )
        = $false )
      | ( ( ic @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(410,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ~ ( ic @ SV44 ) )
        = $true )
      | ( ( ~ ( ic @ SV50 ) )
        = $true )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(411,plain,
    ! [SV44: $i,SV50: $i] :
      ( ( ( ic @ SV50 )
        = $false )
      | ( ( ic @ SV44 )
        = $false )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(412,plain,
    ! [SV54: $i,SV65: $i,SV52: $i] :
      ( ( ( ~ ( icext @ SV52 @ SV65 )
          | ( icext @ SV54 @ SV65 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(413,plain,
    ! [SV52: $i,SV66: $i,SV54: $i] :
      ( ( ( ~ ( icext @ SV54 @ SV66 )
          | ( icext @ SV52 @ SV66 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(414,plain,
    ! [SV45: $i,SV51: $i] :
      ( ( ( ic @ SV51 )
        = $false )
      | ( ( ic @ SV45 )
        = $false )
      | ( ( icext @ SV51 @ ( sK2_X @ SV51 @ SV45 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV51 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(415,plain,
    ! [SV50: $i,SV44: $i] :
      ( ( ( ic @ SV44 )
        = $false )
      | ( ( ~ ( ic @ SV50 ) )
        = $true )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(416,plain,
    ! [SV54: $i,SV65: $i,SV52: $i] :
      ( ( ( ~ ( icext @ SV52 @ SV65 ) )
        = $true )
      | ( ( icext @ SV54 @ SV65 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[412]) ).

thf(417,plain,
    ! [SV52: $i,SV66: $i,SV54: $i] :
      ( ( ( ~ ( icext @ SV54 @ SV66 ) )
        = $true )
      | ( ( icext @ SV52 @ SV66 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(418,plain,
    ! [SV44: $i,SV50: $i] :
      ( ( ( ic @ SV50 )
        = $false )
      | ( ( ic @ SV44 )
        = $false )
      | ( ( icext @ SV44 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( icext @ SV50 @ ( sK1_X @ SV50 @ SV44 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV44 @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(419,plain,
    ! [SV54: $i,SV65: $i,SV52: $i] :
      ( ( ( icext @ SV52 @ SV65 )
        = $false )
      | ( ( icext @ SV54 @ SV65 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(420,plain,
    ! [SV52: $i,SV66: $i,SV54: $i] :
      ( ( ( icext @ SV54 @ SV66 )
        = $false )
      | ( ( icext @ SV52 @ SV66 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV52 @ SV54 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(421,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[238,420,419,418,414,411,409,408,407,405,404,403,343,342,341,340,333,332,331,330,327,326,281,258,256,244,242,240]) ).

thf(422,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(423,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)],[47]) ).

thf(424,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(425,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(426,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(427,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(428,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(429,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(430,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(431,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(432,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(433,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[41]) ).

thf(434,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)],[40]) ).

thf(435,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(436,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)],[423]) ).

thf(437,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_owl_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[426]) ).

thf(438,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_rdfs_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[428]) ).

thf(439,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Thing @ SX0 )
                | ( ir @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ir @ SX0 )
                | ( icext @ uri_owl_Thing @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[432]) ).

thf(440,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)],[434]) ).

thf(441,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
                | ( idc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( idc @ SX0 )
                | ( icext @ uri_rdfs_Datatype @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[430]) ).

thf(442,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                    | ~ ~ ( icext @ SX1 @ ( sK2_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)],[433]) ).

thf(443,plain,
    ! [SV67: $i] :
      ( ( ir @ SV67 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(444,plain,
    ! [SV68: $i] :
      ( ( ~ ( idc @ SV68 )
        | ( ic @ SV68 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(445,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_owl_Class @ uri_owl_Thing )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(446,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)],[436]) ).

thf(447,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(448,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(449,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(450,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)],[440]) ).

thf(451,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(452,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_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)],[442]) ).

thf(453,plain,
    ! [SV68: $i] :
      ( ( ( ~ ( idc @ SV68 ) )
        = $true )
      | ( ( ic @ SV68 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[444]) ).

thf(454,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(455,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(456,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(457,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(458,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[448]) ).

thf(459,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[448]) ).

thf(460,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(461,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(462,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)],[450]) ).

thf(463,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)],[450]) ).

thf(464,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[451]) ).

thf(465,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[451]) ).

thf(466,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[452]) ).

thf(467,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)],[452]) ).

thf(468,plain,
    ! [SV68: $i] :
      ( ( ( idc @ SV68 )
        = $false )
      | ( ( ic @ SV68 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(469,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[454]) ).

thf(470,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[455]) ).

thf(471,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(472,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[457]) ).

thf(473,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[458]) ).

thf(474,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(475,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Thing @ SX0 )
          | ( ir @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(476,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ir @ SX0 )
          | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(477,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)],[462]) ).

thf(478,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)],[463]) ).

thf(479,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
          | ( idc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[464]) ).

thf(480,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( idc @ SX0 )
          | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[465]) ).

thf(481,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
              | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[466]) ).

thf(482,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)],[467]) ).

thf(483,plain,
    ! [SV69: $i] :
      ( ( ! [SY46: $i] :
            ( ~ ( icext @ SY46 @ SV69 )
            | ( iext @ uri_rdf_type @ SV69 @ SY46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(484,plain,
    ! [SV70: $i] :
      ( ( ! [SY47: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV70 @ SY47 )
            | ( icext @ SY47 @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(485,plain,
    ! [SV71: $i] :
      ( ( ~ ( ic @ SV71 )
        | ( icext @ uri_owl_Class @ SV71 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(486,plain,
    ! [SV72: $i] :
      ( ( ~ ( icext @ uri_owl_Class @ SV72 )
        | ( ic @ SV72 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(487,plain,
    ! [SV73: $i] :
      ( ( ~ ( ic @ SV73 )
        | ( icext @ uri_rdfs_Class @ SV73 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[473]) ).

thf(488,plain,
    ! [SV74: $i] :
      ( ( ~ ( icext @ uri_rdfs_Class @ SV74 )
        | ( ic @ SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(489,plain,
    ! [SV75: $i] :
      ( ( ~ ( icext @ uri_owl_Thing @ SV75 )
        | ( ir @ SV75 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(490,plain,
    ! [SV76: $i] :
      ( ( ~ ( ir @ SV76 )
        | ( icext @ uri_owl_Thing @ SV76 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(491,plain,
    ! [SV77: $i] :
      ( ( ! [SY48: $i] :
            ( ~ ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SY48 @ SV77 ) )
                    | ~ ( icext @ SY48 @ ( sK1_X @ SY48 @ SV77 ) ) )
                | ~ ( ( icext @ SV77 @ ( sK1_X @ SY48 @ SV77 ) )
                    | ( icext @ SY48 @ ( sK1_X @ SY48 @ SV77 ) ) ) )
            | ~ ( ic @ SV77 )
            | ~ ( ic @ SY48 )
            | ( iext @ uri_owl_equivalentClass @ SV77 @ SY48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(492,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)],[478]) ).

thf(493,plain,
    ! [SV78: $i] :
      ( ( ~ ( icext @ uri_rdfs_Datatype @ SV78 )
        | ( idc @ SV78 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(494,plain,
    ! [SV79: $i] :
      ( ( ~ ( idc @ SV79 )
        | ( icext @ uri_rdfs_Datatype @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[480]) ).

thf(495,plain,
    ! [SV80: $i] :
      ( ( ! [SY49: $i] :
            ( ~ ( ~ ( icext @ SV80 @ ( sK2_X @ SY49 @ SV80 ) )
                | ~ ~ ( icext @ SY49 @ ( sK2_X @ SY49 @ SV80 ) ) )
            | ~ ( ic @ SV80 )
            | ~ ( ic @ SY49 )
            | ( iext @ uri_rdfs_subClassOf @ SV80 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(496,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)],[482]) ).

thf(497,plain,
    ! [SV69: $i,SV81: $i] :
      ( ( ~ ( icext @ SV81 @ SV69 )
        | ( iext @ uri_rdf_type @ SV69 @ SV81 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(498,plain,
    ! [SV82: $i,SV70: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV70 @ SV82 )
        | ( icext @ SV82 @ SV70 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(499,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( ic @ SV71 ) )
        = $true )
      | ( ( icext @ uri_owl_Class @ SV71 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(500,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( icext @ uri_owl_Class @ SV72 ) )
        = $true )
      | ( ( ic @ SV72 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(501,plain,
    ! [SV73: $i] :
      ( ( ( ~ ( ic @ SV73 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Class @ SV73 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[487]) ).

thf(502,plain,
    ! [SV74: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Class @ SV74 ) )
        = $true )
      | ( ( ic @ SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(503,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( icext @ uri_owl_Thing @ SV75 ) )
        = $true )
      | ( ( ir @ SV75 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[489]) ).

thf(504,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( ir @ SV76 ) )
        = $true )
      | ( ( icext @ uri_owl_Thing @ SV76 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(505,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ~ ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
            | ~ ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) )
        | ~ ( ic @ SV77 )
        | ~ ( ic @ SV83 )
        | ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(506,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)],[492]) ).

thf(507,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)],[492]) ).

thf(508,plain,
    ! [SV78: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV78 ) )
        = $true )
      | ( ( idc @ SV78 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(509,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( idc @ SV79 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Datatype @ SV79 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(510,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ~ ( ~ ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
            | ~ ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) )
        | ~ ( ic @ SV80 )
        | ~ ( ic @ SV84 )
        | ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(511,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)],[496]) ).

thf(512,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)],[496]) ).

thf(513,plain,
    ! [SV69: $i,SV81: $i] :
      ( ( ( ~ ( icext @ SV81 @ SV69 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV69 @ SV81 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[497]) ).

thf(514,plain,
    ! [SV82: $i,SV70: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV70 @ SV82 ) )
        = $true )
      | ( ( icext @ SV82 @ SV70 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[498]) ).

thf(515,plain,
    ! [SV71: $i] :
      ( ( ( ic @ SV71 )
        = $false )
      | ( ( icext @ uri_owl_Class @ SV71 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[499]) ).

thf(516,plain,
    ! [SV72: $i] :
      ( ( ( icext @ uri_owl_Class @ SV72 )
        = $false )
      | ( ( ic @ SV72 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(517,plain,
    ! [SV73: $i] :
      ( ( ( ic @ SV73 )
        = $false )
      | ( ( icext @ uri_rdfs_Class @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(518,plain,
    ! [SV74: $i] :
      ( ( ( icext @ uri_rdfs_Class @ SV74 )
        = $false )
      | ( ( ic @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(519,plain,
    ! [SV75: $i] :
      ( ( ( icext @ uri_owl_Thing @ SV75 )
        = $false )
      | ( ( ir @ SV75 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(520,plain,
    ! [SV76: $i] :
      ( ( ( ir @ SV76 )
        = $false )
      | ( ( icext @ uri_owl_Thing @ SV76 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(521,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                  | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
              | ~ ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                  | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) )
          | ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[505]) ).

thf(522,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)],[506]) ).

thf(523,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)],[507]) ).

thf(524,plain,
    ! [SV78: $i] :
      ( ( ( icext @ uri_rdfs_Datatype @ SV78 )
        = $false )
      | ( ( idc @ SV78 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(525,plain,
    ! [SV79: $i] :
      ( ( ( idc @ SV79 )
        = $false )
      | ( ( icext @ uri_rdfs_Datatype @ SV79 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(526,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( ~ ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
              | ~ ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) )
          | ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(527,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)],[511]) ).

thf(528,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)],[512]) ).

thf(529,plain,
    ! [SV69: $i,SV81: $i] :
      ( ( ( icext @ SV81 @ SV69 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV69 @ SV81 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(530,plain,
    ! [SV82: $i,SV70: $i] :
      ( ( ( iext @ uri_rdf_type @ SV70 @ SV82 )
        = $false )
      | ( ( icext @ SV82 @ SV70 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(531,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                  | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
              | ~ ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
                  | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[521]) ).

thf(532,plain,
    ! [SV85: $i] :
      ( ( ! [SY50: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV85 @ SY50 )
            | ~ ( ~ ! [SY51: $i] :
                      ( ~ ( icext @ SV85 @ SY51 )
                      | ( icext @ SY50 @ SY51 ) )
                | ~ ! [SY52: $i] :
                      ( ~ ( icext @ SY50 @ SY52 )
                      | ( icext @ SV85 @ SY52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[522]) ).

thf(533,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)],[523]) ).

thf(534,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( ~ ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
              | ~ ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[526]) ).

thf(535,plain,
    ! [SV86: $i] :
      ( ( ! [SY53: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV86 @ SY53 )
            | ! [SY54: $i] :
                ( ~ ( icext @ SV86 @ SY54 )
                | ( icext @ SY53 @ SY54 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(536,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)],[528]) ).

thf(537,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
              | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
          | ~ ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
              | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(538,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        | ~ ( ~ ! [SY55: $i] :
                  ( ~ ( icext @ SV85 @ SY55 )
                  | ( icext @ SV87 @ SY55 ) )
            | ~ ! [SY56: $i] :
                  ( ~ ( icext @ SV87 @ SY56 )
                  | ( icext @ SV85 @ SY56 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(539,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(540,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(541,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
          | ~ ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(542,plain,
    ! [SV88: $i,SV86: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 )
        | ! [SY57: $i] :
            ( ~ ( icext @ SV86 @ SY57 )
            | ( icext @ SV88 @ SY57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(543,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(544,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(545,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
              | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(546,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
              | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(547,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY55: $i] :
                    ( ~ ( icext @ SV85 @ SY55 )
                    | ( icext @ SV87 @ SY55 ) )
              | ~ ! [SY56: $i] :
                    ( ~ ( icext @ SV87 @ SY56 )
                    | ( icext @ SV85 @ SY56 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[538]) ).

thf(548,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[539]) ).

thf(549,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(550,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(551,plain,
    ! [SV80: $i,SV84: $i] :
      ( ( ( ~ ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(552,plain,
    ! [SV88: $i,SV86: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ( ~ ( icext @ SV86 @ SY57 )
              | ( icext @ SV88 @ SY57 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(553,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(554,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(555,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
          | ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[545]) ).

thf(556,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
          | ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[546]) ).

thf(557,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false )
      | ( ( ~ ( ~ ! [SY55: $i] :
                    ( ~ ( icext @ SV85 @ SY55 )
                    | ( icext @ SV87 @ SY55 ) )
              | ~ ! [SY56: $i] :
                    ( ~ ( icext @ SV87 @ SY56 )
                    | ( icext @ SV85 @ SY56 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(558,plain,
    ! [SV89: $i] :
      ( ( ! [SY58: $i] :
            ~ ( iext @ uri_owl_equivalentClass @ SV89 @ SY58 )
        | ( ic @ SV89 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(559,plain,
    ! [SV90: $i] :
      ( ( ! [SY59: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV90 @ SY59 )
            | ( ic @ SY59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(560,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
        = $true )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(561,plain,
    ! [SV80: $i,SV84: $i] :
      ( ( ( ~ ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[551]) ).

thf(562,plain,
    ! [SV88: $i,SV86: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 )
        = $false )
      | ( ( ! [SY57: $i] :
              ( ~ ( icext @ SV86 @ SY57 )
              | ( icext @ SV88 @ SY57 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(563,plain,
    ! [SV91: $i] :
      ( ( ! [SY60: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV91 @ SY60 )
        | ( ic @ SV91 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(564,plain,
    ! [SV92: $i] :
      ( ( ! [SY61: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV92 @ SY61 )
            | ( ic @ SY61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(565,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[555]) ).

thf(566,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[556]) ).

thf(567,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ( ~ ! [SY55: $i] :
                ( ~ ( icext @ SV85 @ SY55 )
                | ( icext @ SV87 @ SY55 ) )
          | ~ ! [SY56: $i] :
                ( ~ ( icext @ SV87 @ SY56 )
                | ( icext @ SV85 @ SY56 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(568,plain,
    ! [SV89: $i] :
      ( ( ( ! [SY58: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SV89 @ SY58 ) )
        = $true )
      | ( ( ic @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[558]) ).

thf(569,plain,
    ! [SV93: $i,SV90: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV90 @ SV93 )
        | ( ic @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(570,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( ic @ SV80 ) )
        = $true )
      | ( ( ~ ( ic @ SV84 ) )
        = $true )
      | ( ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(571,plain,
    ! [SV80: $i,SV84: $i] :
      ( ( ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) )
        = $false )
      | ( ( ~ ( ic @ SV80 )
          | ~ ( ic @ SV84 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(572,plain,
    ! [SV88: $i,SV94: $i,SV86: $i] :
      ( ( ( ~ ( icext @ SV86 @ SV94 )
          | ( icext @ SV88 @ SV94 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(573,plain,
    ! [SV91: $i] :
      ( ( ( ! [SY60: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV91 @ SY60 ) )
        = $true )
      | ( ( ic @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[563]) ).

thf(574,plain,
    ! [SV95: $i,SV92: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV92 @ SV95 )
        | ( ic @ SV95 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(575,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( ~ ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(576,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ic @ SV77 ) )
        = $true )
      | ( ( ~ ( ic @ SV83 ) )
        = $true )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(577,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ( ~ ! [SY55: $i] :
                ( ~ ( icext @ SV85 @ SY55 )
                | ( icext @ SV87 @ SY55 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(578,plain,
    ! [SV85: $i,SV87: $i] :
      ( ( ( ~ ! [SY56: $i] :
                ( ~ ( icext @ SV87 @ SY56 )
                | ( icext @ SV85 @ SY56 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(579,plain,
    ! [SV96: $i,SV89: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV89 @ SV96 ) )
        = $true )
      | ( ( ic @ SV89 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(580,plain,
    ! [SV93: $i,SV90: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV90 @ SV93 ) )
        = $true )
      | ( ( ic @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[569]) ).

thf(581,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ic @ SV80 )
        = $false )
      | ( ( ~ ( ic @ SV84 ) )
        = $true )
      | ( ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(582,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ~ ( ic @ SV80 ) )
        = $true )
      | ( ( ~ ( ic @ SV84 ) )
        = $true )
      | ( ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(583,plain,
    ! [SV88: $i,SV94: $i,SV86: $i] :
      ( ( ( ~ ( icext @ SV86 @ SV94 ) )
        = $true )
      | ( ( icext @ SV88 @ SV94 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[572]) ).

thf(584,plain,
    ! [SV97: $i,SV91: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV91 @ SV97 ) )
        = $true )
      | ( ( ic @ SV91 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(585,plain,
    ! [SV95: $i,SV92: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV92 @ SV95 ) )
        = $true )
      | ( ( ic @ SV95 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(586,plain,
    ! [SV77: $i,SV83: $i] :
      ( ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( ~ ( ic @ SV77 )
          | ~ ( ic @ SV83 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(587,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ic @ SV77 )
        = $false )
      | ( ( ~ ( ic @ SV83 ) )
        = $true )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[576]) ).

thf(588,plain,
    ! [SV87: $i,SV85: $i] :
      ( ( ( ! [SY55: $i] :
              ( ~ ( icext @ SV85 @ SY55 )
              | ( icext @ SV87 @ SY55 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[577]) ).

thf(589,plain,
    ! [SV85: $i,SV87: $i] :
      ( ( ( ! [SY56: $i] :
              ( ~ ( icext @ SV87 @ SY56 )
              | ( icext @ SV85 @ SY56 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(590,plain,
    ! [SV96: $i,SV89: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV89 @ SV96 )
        = $false )
      | ( ( ic @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(591,plain,
    ! [SV93: $i,SV90: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV90 @ SV93 )
        = $false )
      | ( ( ic @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(592,plain,
    ! [SV80: $i,SV84: $i] :
      ( ( ( ic @ SV84 )
        = $false )
      | ( ( ic @ SV80 )
        = $false )
      | ( ( icext @ SV80 @ ( sK2_X @ SV84 @ SV80 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(593,plain,
    ! [SV84: $i,SV80: $i] :
      ( ( ( ic @ SV80 )
        = $false )
      | ( ( ~ ( ic @ SV84 ) )
        = $true )
      | ( ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(594,plain,
    ! [SV88: $i,SV94: $i,SV86: $i] :
      ( ( ( icext @ SV86 @ SV94 )
        = $false )
      | ( ( icext @ SV88 @ SV94 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV86 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(595,plain,
    ! [SV97: $i,SV91: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV91 @ SV97 )
        = $false )
      | ( ( ic @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(596,plain,
    ! [SV95: $i,SV92: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV92 @ SV95 )
        = $false )
      | ( ( ic @ SV95 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(597,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ~ ( ic @ SV77 ) )
        = $true )
      | ( ( ~ ( ic @ SV83 ) )
        = $true )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[586]) ).

thf(598,plain,
    ! [SV77: $i,SV83: $i] :
      ( ( ( ic @ SV83 )
        = $false )
      | ( ( ic @ SV77 )
        = $false )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(599,plain,
    ! [SV87: $i,SV98: $i,SV85: $i] :
      ( ( ( ~ ( icext @ SV85 @ SV98 )
          | ( icext @ SV87 @ SV98 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(600,plain,
    ! [SV85: $i,SV99: $i,SV87: $i] :
      ( ( ( ~ ( icext @ SV87 @ SV99 )
          | ( icext @ SV85 @ SV99 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[589]) ).

thf(601,plain,
    ! [SV80: $i,SV84: $i] :
      ( ( ( ic @ SV84 )
        = $false )
      | ( ( ic @ SV80 )
        = $false )
      | ( ( icext @ SV84 @ ( sK2_X @ SV84 @ SV80 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV80 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(602,plain,
    ! [SV83: $i,SV77: $i] :
      ( ( ( ic @ SV77 )
        = $false )
      | ( ( ~ ( ic @ SV83 ) )
        = $true )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(603,plain,
    ! [SV87: $i,SV98: $i,SV85: $i] :
      ( ( ( ~ ( icext @ SV85 @ SV98 ) )
        = $true )
      | ( ( icext @ SV87 @ SV98 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[599]) ).

thf(604,plain,
    ! [SV85: $i,SV99: $i,SV87: $i] :
      ( ( ( ~ ( icext @ SV87 @ SV99 ) )
        = $true )
      | ( ( icext @ SV85 @ SV99 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[600]) ).

thf(605,plain,
    ! [SV77: $i,SV83: $i] :
      ( ( ( ic @ SV83 )
        = $false )
      | ( ( ic @ SV77 )
        = $false )
      | ( ( icext @ SV77 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( icext @ SV83 @ ( sK1_X @ SV83 @ SV77 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV77 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(606,plain,
    ! [SV87: $i,SV98: $i,SV85: $i] :
      ( ( ( icext @ SV85 @ SV98 )
        = $false )
      | ( ( icext @ SV87 @ SV98 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(607,plain,
    ! [SV85: $i,SV99: $i,SV87: $i] :
      ( ( ( icext @ SV87 @ SV99 )
        = $false )
      | ( ( icext @ SV85 @ SV99 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV85 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(608,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[425,607,606,605,601,598,596,595,594,592,591,590,530,529,525,524,520,519,518,517,516,515,468,445,443,431,429,427]) ).

thf(609,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(610,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)],[47]) ).

thf(611,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(612,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(613,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(614,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(615,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(616,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(617,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(618,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(619,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(620,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[41]) ).

thf(621,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)],[40]) ).

thf(622,plain,
    ( ( ~ ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(623,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                    | ~ ~ ( icext @ SX1 @ ( sK2_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)],[620]) ).

thf(624,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)],[621]) ).

thf(625,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_rdfs_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[615]) ).

thf(626,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_owl_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[613]) ).

thf(627,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)],[610]) ).

thf(628,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
                | ( idc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( idc @ SX0 )
                | ( icext @ uri_rdfs_Datatype @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[617]) ).

thf(629,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Thing @ SX0 )
                | ( ir @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ir @ SX0 )
                | ( icext @ uri_owl_Thing @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[619]) ).

thf(630,plain,
    ! [SV100: $i] :
      ( ( ir @ SV100 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[609]) ).

thf(631,plain,
    ! [SV101: $i] :
      ( ( ~ ( idc @ SV101 )
        | ( ic @ SV101 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(632,plain,
    ( ( iext @ uri_owl_equivalentClass @ uri_owl_Class @ uri_rdfs_Class )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(633,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_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)],[623]) ).

thf(634,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)],[624]) ).

thf(635,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(636,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(637,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)],[627]) ).

thf(638,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(639,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(640,plain,
    ! [SV101: $i] :
      ( ( ( ~ ( idc @ SV101 ) )
        = $true )
      | ( ( ic @ SV101 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[631]) ).

thf(641,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(642,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)],[633]) ).

thf(643,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)],[634]) ).

thf(644,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)],[634]) ).

thf(645,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(646,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[635]) ).

thf(647,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[636]) ).

thf(648,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[636]) ).

thf(649,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[637]) ).

thf(650,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[637]) ).

thf(651,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(652,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[638]) ).

thf(653,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[639]) ).

thf(654,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[639]) ).

thf(655,plain,
    ! [SV101: $i] :
      ( ( ( idc @ SV101 )
        = $false )
      | ( ( ic @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(656,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
              | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[641]) ).

thf(657,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)],[642]) ).

thf(658,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)],[643]) ).

thf(659,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)],[644]) ).

thf(660,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[645]) ).

thf(661,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[646]) ).

thf(662,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[647]) ).

thf(663,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[648]) ).

thf(664,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[649]) ).

thf(665,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[650]) ).

thf(666,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
          | ( idc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[651]) ).

thf(667,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( idc @ SX0 )
          | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[652]) ).

thf(668,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Thing @ SX0 )
          | ( ir @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(669,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ir @ SX0 )
          | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[654]) ).

thf(670,plain,
    ! [SV102: $i] :
      ( ( ! [SY62: $i] :
            ( ~ ( ~ ( icext @ SV102 @ ( sK2_X @ SY62 @ SV102 ) )
                | ~ ~ ( icext @ SY62 @ ( sK2_X @ SY62 @ SV102 ) ) )
            | ~ ( ic @ SV102 )
            | ~ ( ic @ SY62 )
            | ( iext @ uri_rdfs_subClassOf @ SV102 @ SY62 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[656]) ).

thf(671,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)],[657]) ).

thf(672,plain,
    ! [SV103: $i] :
      ( ( ! [SY63: $i] :
            ( ~ ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SY63 @ SV103 ) )
                    | ~ ( icext @ SY63 @ ( sK1_X @ SY63 @ SV103 ) ) )
                | ~ ( ( icext @ SV103 @ ( sK1_X @ SY63 @ SV103 ) )
                    | ( icext @ SY63 @ ( sK1_X @ SY63 @ SV103 ) ) ) )
            | ~ ( ic @ SV103 )
            | ~ ( ic @ SY63 )
            | ( iext @ uri_owl_equivalentClass @ SV103 @ SY63 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[658]) ).

thf(673,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)],[659]) ).

thf(674,plain,
    ! [SV104: $i] :
      ( ( ~ ( ic @ SV104 )
        | ( icext @ uri_rdfs_Class @ SV104 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[660]) ).

thf(675,plain,
    ! [SV105: $i] :
      ( ( ~ ( icext @ uri_rdfs_Class @ SV105 )
        | ( ic @ SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[661]) ).

thf(676,plain,
    ! [SV106: $i] :
      ( ( ~ ( ic @ SV106 )
        | ( icext @ uri_owl_Class @ SV106 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(677,plain,
    ! [SV107: $i] :
      ( ( ~ ( icext @ uri_owl_Class @ SV107 )
        | ( ic @ SV107 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[663]) ).

thf(678,plain,
    ! [SV108: $i] :
      ( ( ! [SY64: $i] :
            ( ~ ( icext @ SY64 @ SV108 )
            | ( iext @ uri_rdf_type @ SV108 @ SY64 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[664]) ).

thf(679,plain,
    ! [SV109: $i] :
      ( ( ! [SY65: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV109 @ SY65 )
            | ( icext @ SY65 @ SV109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[665]) ).

thf(680,plain,
    ! [SV110: $i] :
      ( ( ~ ( icext @ uri_rdfs_Datatype @ SV110 )
        | ( idc @ SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(681,plain,
    ! [SV111: $i] :
      ( ( ~ ( idc @ SV111 )
        | ( icext @ uri_rdfs_Datatype @ SV111 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[667]) ).

thf(682,plain,
    ! [SV112: $i] :
      ( ( ~ ( icext @ uri_owl_Thing @ SV112 )
        | ( ir @ SV112 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[668]) ).

thf(683,plain,
    ! [SV113: $i] :
      ( ( ~ ( ir @ SV113 )
        | ( icext @ uri_owl_Thing @ SV113 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[669]) ).

thf(684,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ~ ( ~ ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
            | ~ ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) )
        | ~ ( ic @ SV102 )
        | ~ ( ic @ SV114 )
        | ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[670]) ).

thf(685,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)],[671]) ).

thf(686,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)],[671]) ).

thf(687,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ~ ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
            | ~ ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) )
        | ~ ( ic @ SV103 )
        | ~ ( ic @ SV115 )
        | ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[672]) ).

thf(688,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)],[673]) ).

thf(689,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)],[673]) ).

thf(690,plain,
    ! [SV104: $i] :
      ( ( ( ~ ( ic @ SV104 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Class @ SV104 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(691,plain,
    ! [SV105: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Class @ SV105 ) )
        = $true )
      | ( ( ic @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(692,plain,
    ! [SV106: $i] :
      ( ( ( ~ ( ic @ SV106 ) )
        = $true )
      | ( ( icext @ uri_owl_Class @ SV106 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(693,plain,
    ! [SV107: $i] :
      ( ( ( ~ ( icext @ uri_owl_Class @ SV107 ) )
        = $true )
      | ( ( ic @ SV107 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[677]) ).

thf(694,plain,
    ! [SV108: $i,SV116: $i] :
      ( ( ~ ( icext @ SV116 @ SV108 )
        | ( iext @ uri_rdf_type @ SV108 @ SV116 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(695,plain,
    ! [SV117: $i,SV109: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV109 @ SV117 )
        | ( icext @ SV117 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[679]) ).

thf(696,plain,
    ! [SV110: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV110 ) )
        = $true )
      | ( ( idc @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(697,plain,
    ! [SV111: $i] :
      ( ( ( ~ ( idc @ SV111 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Datatype @ SV111 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[681]) ).

thf(698,plain,
    ! [SV112: $i] :
      ( ( ( ~ ( icext @ uri_owl_Thing @ SV112 ) )
        = $true )
      | ( ( ir @ SV112 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(699,plain,
    ! [SV113: $i] :
      ( ( ( ~ ( ir @ SV113 ) )
        = $true )
      | ( ( icext @ uri_owl_Thing @ SV113 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(700,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
              | ~ ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) )
          | ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(701,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)],[685]) ).

thf(702,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)],[686]) ).

thf(703,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                  | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
              | ~ ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                  | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) )
          | ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(704,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)],[688]) ).

thf(705,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)],[689]) ).

thf(706,plain,
    ! [SV104: $i] :
      ( ( ( ic @ SV104 )
        = $false )
      | ( ( icext @ uri_rdfs_Class @ SV104 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[690]) ).

thf(707,plain,
    ! [SV105: $i] :
      ( ( ( icext @ uri_rdfs_Class @ SV105 )
        = $false )
      | ( ( ic @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[691]) ).

thf(708,plain,
    ! [SV106: $i] :
      ( ( ( ic @ SV106 )
        = $false )
      | ( ( icext @ uri_owl_Class @ SV106 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(709,plain,
    ! [SV107: $i] :
      ( ( ( icext @ uri_owl_Class @ SV107 )
        = $false )
      | ( ( ic @ SV107 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[693]) ).

thf(710,plain,
    ! [SV108: $i,SV116: $i] :
      ( ( ( ~ ( icext @ SV116 @ SV108 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV108 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[694]) ).

thf(711,plain,
    ! [SV117: $i,SV109: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV109 @ SV117 ) )
        = $true )
      | ( ( icext @ SV117 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[695]) ).

thf(712,plain,
    ! [SV110: $i] :
      ( ( ( icext @ uri_rdfs_Datatype @ SV110 )
        = $false )
      | ( ( idc @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(713,plain,
    ! [SV111: $i] :
      ( ( ( idc @ SV111 )
        = $false )
      | ( ( icext @ uri_rdfs_Datatype @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(714,plain,
    ! [SV112: $i] :
      ( ( ( icext @ uri_owl_Thing @ SV112 )
        = $false )
      | ( ( ir @ SV112 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(715,plain,
    ! [SV113: $i] :
      ( ( ( ir @ SV113 )
        = $false )
      | ( ( icext @ uri_owl_Thing @ SV113 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(716,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
              | ~ ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(717,plain,
    ! [SV118: $i] :
      ( ( ! [SY66: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV118 @ SY66 )
            | ! [SY67: $i] :
                ( ~ ( icext @ SV118 @ SY67 )
                | ( icext @ SY66 @ SY67 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[701]) ).

thf(718,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)],[702]) ).

thf(719,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                  | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
              | ~ ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
                  | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[703]) ).

thf(720,plain,
    ! [SV119: $i] :
      ( ( ! [SY68: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV119 @ SY68 )
            | ~ ( ~ ! [SY69: $i] :
                      ( ~ ( icext @ SV119 @ SY69 )
                      | ( icext @ SY68 @ SY69 ) )
                | ~ ! [SY70: $i] :
                      ( ~ ( icext @ SY68 @ SY70 )
                      | ( icext @ SV119 @ SY70 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(721,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)],[705]) ).

thf(722,plain,
    ! [SV108: $i,SV116: $i] :
      ( ( ( icext @ SV116 @ SV108 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV108 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[710]) ).

thf(723,plain,
    ! [SV117: $i,SV109: $i] :
      ( ( ( iext @ uri_rdf_type @ SV109 @ SV117 )
        = $false )
      | ( ( icext @ SV117 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(724,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
          | ~ ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(725,plain,
    ! [SV120: $i,SV118: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 )
        | ! [SY71: $i] :
            ( ~ ( icext @ SV118 @ SY71 )
            | ( icext @ SV120 @ SY71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[717]) ).

thf(726,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[718]) ).

thf(727,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[718]) ).

thf(728,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
              | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
          | ~ ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
              | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(729,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        | ~ ( ~ ! [SY72: $i] :
                  ( ~ ( icext @ SV119 @ SY72 )
                  | ( icext @ SV121 @ SY72 ) )
            | ~ ! [SY73: $i] :
                  ( ~ ( icext @ SV121 @ SY73 )
                  | ( icext @ SV119 @ SY73 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[720]) ).

thf(730,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[721]) ).

thf(731,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[721]) ).

thf(732,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(733,plain,
    ! [SV102: $i,SV114: $i] :
      ( ( ( ~ ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(734,plain,
    ! [SV120: $i,SV118: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 ) )
        = $true )
      | ( ( ! [SY71: $i] :
              ( ~ ( icext @ SV118 @ SY71 )
              | ( icext @ SV120 @ SY71 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[725]) ).

thf(735,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[726]) ).

thf(736,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(737,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
              | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[728]) ).

thf(738,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
              | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[728]) ).

thf(739,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY72: $i] :
                    ( ~ ( icext @ SV119 @ SY72 )
                    | ( icext @ SV121 @ SY72 ) )
              | ~ ! [SY73: $i] :
                    ( ~ ( icext @ SV121 @ SY73 )
                    | ( icext @ SV119 @ SY73 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[729]) ).

thf(740,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(741,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(742,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
        = $true )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(743,plain,
    ! [SV102: $i,SV114: $i] :
      ( ( ( ~ ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(744,plain,
    ! [SV120: $i,SV118: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 )
        = $false )
      | ( ( ! [SY71: $i] :
              ( ~ ( icext @ SV118 @ SY71 )
              | ( icext @ SV120 @ SY71 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(745,plain,
    ! [SV122: $i] :
      ( ( ! [SY74: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV122 @ SY74 )
        | ( ic @ SV122 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[735]) ).

thf(746,plain,
    ! [SV123: $i] :
      ( ( ! [SY75: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV123 @ SY75 )
            | ( ic @ SY75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[736]) ).

thf(747,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
          | ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(748,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
          | ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(749,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false )
      | ( ( ~ ( ~ ! [SY72: $i] :
                    ( ~ ( icext @ SV119 @ SY72 )
                    | ( icext @ SV121 @ SY72 ) )
              | ~ ! [SY73: $i] :
                    ( ~ ( icext @ SV121 @ SY73 )
                    | ( icext @ SV119 @ SY73 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(750,plain,
    ! [SV124: $i] :
      ( ( ! [SY76: $i] :
            ~ ( iext @ uri_owl_equivalentClass @ SV124 @ SY76 )
        | ( ic @ SV124 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[740]) ).

thf(751,plain,
    ! [SV125: $i] :
      ( ( ! [SY77: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV125 @ SY77 )
            | ( ic @ SY77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[741]) ).

thf(752,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( ic @ SV102 ) )
        = $true )
      | ( ( ~ ( ic @ SV114 ) )
        = $true )
      | ( ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[742]) ).

thf(753,plain,
    ! [SV102: $i,SV114: $i] :
      ( ( ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) )
        = $false )
      | ( ( ~ ( ic @ SV102 )
          | ~ ( ic @ SV114 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(754,plain,
    ! [SV120: $i,SV126: $i,SV118: $i] :
      ( ( ( ~ ( icext @ SV118 @ SV126 )
          | ( icext @ SV120 @ SV126 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[744]) ).

thf(755,plain,
    ! [SV122: $i] :
      ( ( ( ! [SY74: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV122 @ SY74 ) )
        = $true )
      | ( ( ic @ SV122 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[745]) ).

thf(756,plain,
    ! [SV127: $i,SV123: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV123 @ SV127 )
        | ( ic @ SV127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[746]) ).

thf(757,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[747]) ).

thf(758,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[748]) ).

thf(759,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ( ~ ! [SY72: $i] :
                ( ~ ( icext @ SV119 @ SY72 )
                | ( icext @ SV121 @ SY72 ) )
          | ~ ! [SY73: $i] :
                ( ~ ( icext @ SV121 @ SY73 )
                | ( icext @ SV119 @ SY73 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(760,plain,
    ! [SV124: $i] :
      ( ( ( ! [SY76: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SV124 @ SY76 ) )
        = $true )
      | ( ( ic @ SV124 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[750]) ).

thf(761,plain,
    ! [SV128: $i,SV125: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV125 @ SV128 )
        | ( ic @ SV128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[751]) ).

thf(762,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ic @ SV102 )
        = $false )
      | ( ( ~ ( ic @ SV114 ) )
        = $true )
      | ( ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(763,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ~ ( ic @ SV102 ) )
        = $true )
      | ( ( ~ ( ic @ SV114 ) )
        = $true )
      | ( ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(764,plain,
    ! [SV120: $i,SV126: $i,SV118: $i] :
      ( ( ( ~ ( icext @ SV118 @ SV126 ) )
        = $true )
      | ( ( icext @ SV120 @ SV126 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[754]) ).

thf(765,plain,
    ! [SV129: $i,SV122: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV122 @ SV129 ) )
        = $true )
      | ( ( ic @ SV122 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[755]) ).

thf(766,plain,
    ! [SV127: $i,SV123: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV123 @ SV127 ) )
        = $true )
      | ( ( ic @ SV127 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[756]) ).

thf(767,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( ~ ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[757]) ).

thf(768,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ic @ SV103 ) )
        = $true )
      | ( ( ~ ( ic @ SV115 ) )
        = $true )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(769,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ( ~ ! [SY72: $i] :
                ( ~ ( icext @ SV119 @ SY72 )
                | ( icext @ SV121 @ SY72 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[759]) ).

thf(770,plain,
    ! [SV119: $i,SV121: $i] :
      ( ( ( ~ ! [SY73: $i] :
                ( ~ ( icext @ SV121 @ SY73 )
                | ( icext @ SV119 @ SY73 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[759]) ).

thf(771,plain,
    ! [SV130: $i,SV124: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV124 @ SV130 ) )
        = $true )
      | ( ( ic @ SV124 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(772,plain,
    ! [SV128: $i,SV125: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV125 @ SV128 ) )
        = $true )
      | ( ( ic @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(773,plain,
    ! [SV102: $i,SV114: $i] :
      ( ( ( ic @ SV114 )
        = $false )
      | ( ( ic @ SV102 )
        = $false )
      | ( ( icext @ SV102 @ ( sK2_X @ SV114 @ SV102 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(774,plain,
    ! [SV114: $i,SV102: $i] :
      ( ( ( ic @ SV102 )
        = $false )
      | ( ( ~ ( ic @ SV114 ) )
        = $true )
      | ( ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(775,plain,
    ! [SV120: $i,SV126: $i,SV118: $i] :
      ( ( ( icext @ SV118 @ SV126 )
        = $false )
      | ( ( icext @ SV120 @ SV126 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV118 @ SV120 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(776,plain,
    ! [SV129: $i,SV122: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV122 @ SV129 )
        = $false )
      | ( ( ic @ SV122 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(777,plain,
    ! [SV127: $i,SV123: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV123 @ SV127 )
        = $false )
      | ( ( ic @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(778,plain,
    ! [SV103: $i,SV115: $i] :
      ( ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( ~ ( ic @ SV103 )
          | ~ ( ic @ SV115 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(779,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ic @ SV103 )
        = $false )
      | ( ( ~ ( ic @ SV115 ) )
        = $true )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(780,plain,
    ! [SV121: $i,SV119: $i] :
      ( ( ( ! [SY72: $i] :
              ( ~ ( icext @ SV119 @ SY72 )
              | ( icext @ SV121 @ SY72 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[769]) ).

thf(781,plain,
    ! [SV119: $i,SV121: $i] :
      ( ( ( ! [SY73: $i] :
              ( ~ ( icext @ SV121 @ SY73 )
              | ( icext @ SV119 @ SY73 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(782,plain,
    ! [SV130: $i,SV124: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV124 @ SV130 )
        = $false )
      | ( ( ic @ SV124 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(783,plain,
    ! [SV128: $i,SV125: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV125 @ SV128 )
        = $false )
      | ( ( ic @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(784,plain,
    ! [SV102: $i,SV114: $i] :
      ( ( ( ic @ SV114 )
        = $false )
      | ( ( ic @ SV102 )
        = $false )
      | ( ( icext @ SV114 @ ( sK2_X @ SV114 @ SV102 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV102 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(785,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ~ ( ic @ SV103 ) )
        = $true )
      | ( ( ~ ( ic @ SV115 ) )
        = $true )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(786,plain,
    ! [SV103: $i,SV115: $i] :
      ( ( ( ic @ SV115 )
        = $false )
      | ( ( ic @ SV103 )
        = $false )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(787,plain,
    ! [SV121: $i,SV131: $i,SV119: $i] :
      ( ( ( ~ ( icext @ SV119 @ SV131 )
          | ( icext @ SV121 @ SV131 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[780]) ).

thf(788,plain,
    ! [SV119: $i,SV132: $i,SV121: $i] :
      ( ( ( ~ ( icext @ SV121 @ SV132 )
          | ( icext @ SV119 @ SV132 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[781]) ).

thf(789,plain,
    ! [SV115: $i,SV103: $i] :
      ( ( ( ic @ SV103 )
        = $false )
      | ( ( ~ ( ic @ SV115 ) )
        = $true )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(790,plain,
    ! [SV121: $i,SV131: $i,SV119: $i] :
      ( ( ( ~ ( icext @ SV119 @ SV131 ) )
        = $true )
      | ( ( icext @ SV121 @ SV131 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(791,plain,
    ! [SV119: $i,SV132: $i,SV121: $i] :
      ( ( ( ~ ( icext @ SV121 @ SV132 ) )
        = $true )
      | ( ( icext @ SV119 @ SV132 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[788]) ).

thf(792,plain,
    ! [SV103: $i,SV115: $i] :
      ( ( ( ic @ SV115 )
        = $false )
      | ( ( ic @ SV103 )
        = $false )
      | ( ( icext @ SV103 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( icext @ SV115 @ ( sK1_X @ SV115 @ SV103 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV103 @ SV115 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[789]) ).

thf(793,plain,
    ! [SV121: $i,SV131: $i,SV119: $i] :
      ( ( ( icext @ SV119 @ SV131 )
        = $false )
      | ( ( icext @ SV121 @ SV131 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(794,plain,
    ! [SV119: $i,SV132: $i,SV121: $i] :
      ( ( ( icext @ SV121 @ SV132 )
        = $false )
      | ( ( icext @ SV119 @ SV132 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV119 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[791]) ).

thf(795,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[612,794,793,792,786,784,783,782,777,776,775,773,723,722,715,714,713,712,709,708,707,706,655,632,630,618,616,614]) ).

thf(796,plain,
    ( ( ! [X: $i] : ( ir @ X ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(797,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)],[47]) ).

thf(798,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(799,plain,
    ( ( ic @ uri_owl_Class )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(800,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_owl_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_owl_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(801,plain,
    ( ( ic @ uri_rdfs_Class )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(802,plain,
    ( ( ! [X: $i] :
          ( ~ ( ic @ X )
          | ( icext @ uri_rdfs_Class @ X ) )
      & ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(803,plain,
    ( ( ic @ uri_rdfs_Datatype )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(804,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ X )
          | ( idc @ X ) )
      & ! [X: $i] :
          ( ~ ( idc @ X )
          | ( icext @ uri_rdfs_Datatype @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(805,plain,
    ( ( ic @ uri_owl_Thing )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(806,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_Thing @ X )
          | ( ir @ X ) )
      & ! [X: $i] :
          ( ~ ( ir @ X )
          | ( icext @ uri_owl_Thing @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(807,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK2_X @ C2 @ C1 ) )
            & ~ ( icext @ C2 @ ( sK2_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)],[41]) ).

thf(808,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)],[40]) ).

thf(809,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(810,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_rdfs_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[802]) ).

thf(811,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)],[808]) ).

thf(812,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)],[797]) ).

thf(813,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Thing @ SX0 )
                | ( ir @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( ir @ SX0 )
                | ( icext @ uri_owl_Thing @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[806]) ).

thf(814,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ic @ SX0 )
                | ( icext @ uri_owl_Class @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_Class @ SX0 )
                | ( ic @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[800]) ).

thf(815,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                    | ~ ~ ( icext @ SX1 @ ( sK2_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)],[807]) ).

thf(816,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
                | ( idc @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( idc @ SX0 )
                | ( icext @ uri_rdfs_Datatype @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[804]) ).

thf(817,plain,
    ! [SV133: $i] :
      ( ( ir @ SV133 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(818,plain,
    ! [SV134: $i] :
      ( ( ~ ( idc @ SV134 )
        | ( ic @ SV134 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[798]) ).

thf(819,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_owl_Class )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[809]) ).

thf(820,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(821,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)],[811]) ).

thf(822,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)],[812]) ).

thf(823,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(824,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(825,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_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)],[815]) ).

thf(826,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(827,plain,
    ! [SV134: $i] :
      ( ( ( ~ ( idc @ SV134 ) )
        = $true )
      | ( ( ic @ SV134 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[818]) ).

thf(828,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(829,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(830,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)],[821]) ).

thf(831,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)],[821]) ).

thf(832,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(833,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(834,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Thing @ SX0 )
            | ( ir @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(835,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ir @ SX0 )
            | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(836,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ic @ SX0 )
            | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[824]) ).

thf(837,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_Class @ SX0 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[824]) ).

thf(838,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
                | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[825]) ).

thf(839,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)],[825]) ).

thf(840,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
            | ( idc @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[826]) ).

thf(841,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( idc @ SX0 )
            | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[826]) ).

thf(842,plain,
    ! [SV134: $i] :
      ( ( ( idc @ SV134 )
        = $false )
      | ( ( ic @ SV134 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(843,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_rdfs_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(844,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[829]) ).

thf(845,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)],[830]) ).

thf(846,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)],[831]) ).

thf(847,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[832]) ).

thf(848,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(849,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Thing @ SX0 )
          | ( ir @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(850,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ir @ SX0 )
          | ( icext @ uri_owl_Thing @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[835]) ).

thf(851,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ic @ SX0 )
          | ( icext @ uri_owl_Class @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[836]) ).

thf(852,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_Class @ SX0 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(853,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK2_X @ SX1 @ SX0 ) )
              | ~ ~ ( icext @ SX1 @ ( sK2_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(854,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)],[839]) ).

thf(855,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_rdfs_Datatype @ SX0 )
          | ( idc @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[840]) ).

thf(856,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( idc @ SX0 )
          | ( icext @ uri_rdfs_Datatype @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[841]) ).

thf(857,plain,
    ! [SV135: $i] :
      ( ( ~ ( ic @ SV135 )
        | ( icext @ uri_rdfs_Class @ SV135 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[843]) ).

thf(858,plain,
    ! [SV136: $i] :
      ( ( ~ ( icext @ uri_rdfs_Class @ SV136 )
        | ( ic @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(859,plain,
    ! [SV137: $i] :
      ( ( ! [SY78: $i] :
            ( ~ ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SY78 @ SV137 ) )
                    | ~ ( icext @ SY78 @ ( sK1_X @ SY78 @ SV137 ) ) )
                | ~ ( ( icext @ SV137 @ ( sK1_X @ SY78 @ SV137 ) )
                    | ( icext @ SY78 @ ( sK1_X @ SY78 @ SV137 ) ) ) )
            | ~ ( ic @ SV137 )
            | ~ ( ic @ SY78 )
            | ( iext @ uri_owl_equivalentClass @ SV137 @ SY78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[845]) ).

thf(860,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)],[846]) ).

thf(861,plain,
    ! [SV138: $i] :
      ( ( ! [SY79: $i] :
            ( ~ ( icext @ SY79 @ SV138 )
            | ( iext @ uri_rdf_type @ SV138 @ SY79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[847]) ).

thf(862,plain,
    ! [SV139: $i] :
      ( ( ! [SY80: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV139 @ SY80 )
            | ( icext @ SY80 @ SV139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[848]) ).

thf(863,plain,
    ! [SV140: $i] :
      ( ( ~ ( icext @ uri_owl_Thing @ SV140 )
        | ( ir @ SV140 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(864,plain,
    ! [SV141: $i] :
      ( ( ~ ( ir @ SV141 )
        | ( icext @ uri_owl_Thing @ SV141 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(865,plain,
    ! [SV142: $i] :
      ( ( ~ ( ic @ SV142 )
        | ( icext @ uri_owl_Class @ SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[851]) ).

thf(866,plain,
    ! [SV143: $i] :
      ( ( ~ ( icext @ uri_owl_Class @ SV143 )
        | ( ic @ SV143 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(867,plain,
    ! [SV144: $i] :
      ( ( ! [SY81: $i] :
            ( ~ ( ~ ( icext @ SV144 @ ( sK2_X @ SY81 @ SV144 ) )
                | ~ ~ ( icext @ SY81 @ ( sK2_X @ SY81 @ SV144 ) ) )
            | ~ ( ic @ SV144 )
            | ~ ( ic @ SY81 )
            | ( iext @ uri_rdfs_subClassOf @ SV144 @ SY81 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[853]) ).

thf(868,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)],[854]) ).

thf(869,plain,
    ! [SV145: $i] :
      ( ( ~ ( icext @ uri_rdfs_Datatype @ SV145 )
        | ( idc @ SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(870,plain,
    ! [SV146: $i] :
      ( ( ~ ( idc @ SV146 )
        | ( icext @ uri_rdfs_Datatype @ SV146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[856]) ).

thf(871,plain,
    ! [SV135: $i] :
      ( ( ( ~ ( ic @ SV135 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Class @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[857]) ).

thf(872,plain,
    ! [SV136: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Class @ SV136 ) )
        = $true )
      | ( ( ic @ SV136 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[858]) ).

thf(873,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ~ ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
            | ~ ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) )
        | ~ ( ic @ SV137 )
        | ~ ( ic @ SV147 )
        | ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[859]) ).

thf(874,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)],[860]) ).

thf(875,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)],[860]) ).

thf(876,plain,
    ! [SV138: $i,SV148: $i] :
      ( ( ~ ( icext @ SV148 @ SV138 )
        | ( iext @ uri_rdf_type @ SV138 @ SV148 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(877,plain,
    ! [SV149: $i,SV139: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV139 @ SV149 )
        | ( icext @ SV149 @ SV139 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(878,plain,
    ! [SV140: $i] :
      ( ( ( ~ ( icext @ uri_owl_Thing @ SV140 ) )
        = $true )
      | ( ( ir @ SV140 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[863]) ).

thf(879,plain,
    ! [SV141: $i] :
      ( ( ( ~ ( ir @ SV141 ) )
        = $true )
      | ( ( icext @ uri_owl_Thing @ SV141 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[864]) ).

thf(880,plain,
    ! [SV142: $i] :
      ( ( ( ~ ( ic @ SV142 ) )
        = $true )
      | ( ( icext @ uri_owl_Class @ SV142 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[865]) ).

thf(881,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( icext @ uri_owl_Class @ SV143 ) )
        = $true )
      | ( ( ic @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[866]) ).

thf(882,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ~ ( ~ ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
            | ~ ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) )
        | ~ ( ic @ SV144 )
        | ~ ( ic @ SV150 )
        | ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[867]) ).

thf(883,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)],[868]) ).

thf(884,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)],[868]) ).

thf(885,plain,
    ! [SV145: $i] :
      ( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV145 ) )
        = $true )
      | ( ( idc @ SV145 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[869]) ).

thf(886,plain,
    ! [SV146: $i] :
      ( ( ( ~ ( idc @ SV146 ) )
        = $true )
      | ( ( icext @ uri_rdfs_Datatype @ SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[870]) ).

thf(887,plain,
    ! [SV135: $i] :
      ( ( ( ic @ SV135 )
        = $false )
      | ( ( icext @ uri_rdfs_Class @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(888,plain,
    ! [SV136: $i] :
      ( ( ( icext @ uri_rdfs_Class @ SV136 )
        = $false )
      | ( ( ic @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(889,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                  | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
              | ~ ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                  | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) )
          | ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[873]) ).

thf(890,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)],[874]) ).

thf(891,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)],[875]) ).

thf(892,plain,
    ! [SV138: $i,SV148: $i] :
      ( ( ( ~ ( icext @ SV148 @ SV138 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV138 @ SV148 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[876]) ).

thf(893,plain,
    ! [SV149: $i,SV139: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV139 @ SV149 ) )
        = $true )
      | ( ( icext @ SV149 @ SV139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[877]) ).

thf(894,plain,
    ! [SV140: $i] :
      ( ( ( icext @ uri_owl_Thing @ SV140 )
        = $false )
      | ( ( ir @ SV140 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(895,plain,
    ! [SV141: $i] :
      ( ( ( ir @ SV141 )
        = $false )
      | ( ( icext @ uri_owl_Thing @ SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(896,plain,
    ! [SV142: $i] :
      ( ( ( ic @ SV142 )
        = $false )
      | ( ( icext @ uri_owl_Class @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(897,plain,
    ! [SV143: $i] :
      ( ( ( icext @ uri_owl_Class @ SV143 )
        = $false )
      | ( ( ic @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(898,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( ~ ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
              | ~ ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) )
          | ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[882]) ).

thf(899,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)],[883]) ).

thf(900,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)],[884]) ).

thf(901,plain,
    ! [SV145: $i] :
      ( ( ( icext @ uri_rdfs_Datatype @ SV145 )
        = $false )
      | ( ( idc @ SV145 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(902,plain,
    ! [SV146: $i] :
      ( ( ( idc @ SV146 )
        = $false )
      | ( ( icext @ uri_rdfs_Datatype @ SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(903,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                  | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
              | ~ ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
                  | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(904,plain,
    ! [SV151: $i] :
      ( ( ! [SY82: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV151 @ SY82 )
            | ~ ( ~ ! [SY83: $i] :
                      ( ~ ( icext @ SV151 @ SY83 )
                      | ( icext @ SY82 @ SY83 ) )
                | ~ ! [SY84: $i] :
                      ( ~ ( icext @ SY82 @ SY84 )
                      | ( icext @ SV151 @ SY84 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[890]) ).

thf(905,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)],[891]) ).

thf(906,plain,
    ! [SV138: $i,SV148: $i] :
      ( ( ( icext @ SV148 @ SV138 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV138 @ SV148 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(907,plain,
    ! [SV149: $i,SV139: $i] :
      ( ( ( iext @ uri_rdf_type @ SV139 @ SV149 )
        = $false )
      | ( ( icext @ SV149 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(908,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( ~ ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
              | ~ ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[898]) ).

thf(909,plain,
    ! [SV152: $i] :
      ( ( ! [SY85: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV152 @ SY85 )
            | ! [SY86: $i] :
                ( ~ ( icext @ SV152 @ SY86 )
                | ( icext @ SY85 @ SY86 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[899]) ).

thf(910,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)],[900]) ).

thf(911,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
              | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
          | ~ ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
              | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(912,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        | ~ ( ~ ! [SY87: $i] :
                  ( ~ ( icext @ SV151 @ SY87 )
                  | ( icext @ SV153 @ SY87 ) )
            | ~ ! [SY88: $i] :
                  ( ~ ( icext @ SV153 @ SY88 )
                  | ( icext @ SV151 @ SY88 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[904]) ).

thf(913,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[905]) ).

thf(914,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[905]) ).

thf(915,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
          | ~ ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(916,plain,
    ! [SV154: $i,SV152: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 )
        | ! [SY89: $i] :
            ( ~ ( icext @ SV152 @ SY89 )
            | ( icext @ SV154 @ SY89 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(917,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[910]) ).

thf(918,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[910]) ).

thf(919,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
              | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(920,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
              | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) ) )
        = $false )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(921,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY87: $i] :
                    ( ~ ( icext @ SV151 @ SY87 )
                    | ( icext @ SV153 @ SY87 ) )
              | ~ ! [SY88: $i] :
                    ( ~ ( icext @ SV153 @ SY88 )
                    | ( icext @ SV151 @ SY88 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[912]) ).

thf(922,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[913]) ).

thf(923,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_equivalentClass @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(924,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[915]) ).

thf(925,plain,
    ! [SV144: $i,SV150: $i] :
      ( ( ( ~ ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[915]) ).

thf(926,plain,
    ! [SV154: $i,SV152: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 ) )
        = $true )
      | ( ( ! [SY89: $i] :
              ( ~ ( icext @ SV152 @ SY89 )
              | ( icext @ SV154 @ SY89 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[916]) ).

thf(927,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[917]) ).

thf(928,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[918]) ).

thf(929,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
          | ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[919]) ).

thf(930,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
          | ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(931,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false )
      | ( ( ~ ( ~ ! [SY87: $i] :
                    ( ~ ( icext @ SV151 @ SY87 )
                    | ( icext @ SV153 @ SY87 ) )
              | ~ ! [SY88: $i] :
                    ( ~ ( icext @ SV153 @ SY88 )
                    | ( icext @ SV151 @ SY88 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[921]) ).

thf(932,plain,
    ! [SV155: $i] :
      ( ( ! [SY90: $i] :
            ~ ( iext @ uri_owl_equivalentClass @ SV155 @ SY90 )
        | ( ic @ SV155 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(933,plain,
    ! [SV156: $i] :
      ( ( ! [SY91: $i] :
            ( ~ ( iext @ uri_owl_equivalentClass @ SV156 @ SY91 )
            | ( ic @ SY91 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[923]) ).

thf(934,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
        = $true )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[924]) ).

thf(935,plain,
    ! [SV144: $i,SV150: $i] :
      ( ( ( ~ ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[925]) ).

thf(936,plain,
    ! [SV154: $i,SV152: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 )
        = $false )
      | ( ( ! [SY89: $i] :
              ( ~ ( icext @ SV152 @ SY89 )
              | ( icext @ SV154 @ SY89 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(937,plain,
    ! [SV157: $i] :
      ( ( ! [SY92: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV157 @ SY92 )
        | ( ic @ SV157 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[927]) ).

thf(938,plain,
    ! [SV158: $i] :
      ( ( ! [SY93: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV158 @ SY93 )
            | ( ic @ SY93 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(939,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[929]) ).

thf(940,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[930]) ).

thf(941,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ( ~ ! [SY87: $i] :
                ( ~ ( icext @ SV151 @ SY87 )
                | ( icext @ SV153 @ SY87 ) )
          | ~ ! [SY88: $i] :
                ( ~ ( icext @ SV153 @ SY88 )
                | ( icext @ SV151 @ SY88 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(942,plain,
    ! [SV155: $i] :
      ( ( ( ! [SY90: $i] :
              ~ ( iext @ uri_owl_equivalentClass @ SV155 @ SY90 ) )
        = $true )
      | ( ( ic @ SV155 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(943,plain,
    ! [SV159: $i,SV156: $i] :
      ( ( ~ ( iext @ uri_owl_equivalentClass @ SV156 @ SV159 )
        | ( ic @ SV159 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[933]) ).

thf(944,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( ic @ SV144 ) )
        = $true )
      | ( ( ~ ( ic @ SV150 ) )
        = $true )
      | ( ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(945,plain,
    ! [SV144: $i,SV150: $i] :
      ( ( ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) )
        = $false )
      | ( ( ~ ( ic @ SV144 )
          | ~ ( ic @ SV150 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(946,plain,
    ! [SV154: $i,SV160: $i,SV152: $i] :
      ( ( ( ~ ( icext @ SV152 @ SV160 )
          | ( icext @ SV154 @ SV160 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[936]) ).

thf(947,plain,
    ! [SV157: $i] :
      ( ( ( ! [SY92: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV157 @ SY92 ) )
        = $true )
      | ( ( ic @ SV157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[937]) ).

thf(948,plain,
    ! [SV161: $i,SV158: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV158 @ SV161 )
        | ( ic @ SV161 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(949,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( ~ ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(950,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ic @ SV137 ) )
        = $true )
      | ( ( ~ ( ic @ SV147 ) )
        = $true )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[940]) ).

thf(951,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ( ~ ! [SY87: $i] :
                ( ~ ( icext @ SV151 @ SY87 )
                | ( icext @ SV153 @ SY87 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[941]) ).

thf(952,plain,
    ! [SV151: $i,SV153: $i] :
      ( ( ( ~ ! [SY88: $i] :
                ( ~ ( icext @ SV153 @ SY88 )
                | ( icext @ SV151 @ SY88 ) ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[941]) ).

thf(953,plain,
    ! [SV162: $i,SV155: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV155 @ SV162 ) )
        = $true )
      | ( ( ic @ SV155 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(954,plain,
    ! [SV159: $i,SV156: $i] :
      ( ( ( ~ ( iext @ uri_owl_equivalentClass @ SV156 @ SV159 ) )
        = $true )
      | ( ( ic @ SV159 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[943]) ).

thf(955,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ic @ SV144 )
        = $false )
      | ( ( ~ ( ic @ SV150 ) )
        = $true )
      | ( ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[944]) ).

thf(956,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ~ ( ic @ SV144 ) )
        = $true )
      | ( ( ~ ( ic @ SV150 ) )
        = $true )
      | ( ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[945]) ).

thf(957,plain,
    ! [SV154: $i,SV160: $i,SV152: $i] :
      ( ( ( ~ ( icext @ SV152 @ SV160 ) )
        = $true )
      | ( ( icext @ SV154 @ SV160 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[946]) ).

thf(958,plain,
    ! [SV163: $i,SV157: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV157 @ SV163 ) )
        = $true )
      | ( ( ic @ SV157 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[947]) ).

thf(959,plain,
    ! [SV161: $i,SV158: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV158 @ SV161 ) )
        = $true )
      | ( ( ic @ SV161 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[948]) ).

thf(960,plain,
    ! [SV137: $i,SV147: $i] :
      ( ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( ~ ( ic @ SV137 )
          | ~ ( ic @ SV147 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(961,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ic @ SV137 )
        = $false )
      | ( ( ~ ( ic @ SV147 ) )
        = $true )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(962,plain,
    ! [SV153: $i,SV151: $i] :
      ( ( ( ! [SY87: $i] :
              ( ~ ( icext @ SV151 @ SY87 )
              | ( icext @ SV153 @ SY87 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[951]) ).

thf(963,plain,
    ! [SV151: $i,SV153: $i] :
      ( ( ( ! [SY88: $i] :
              ( ~ ( icext @ SV153 @ SY88 )
              | ( icext @ SV151 @ SY88 ) ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[952]) ).

thf(964,plain,
    ! [SV162: $i,SV155: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV155 @ SV162 )
        = $false )
      | ( ( ic @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(965,plain,
    ! [SV159: $i,SV156: $i] :
      ( ( ( iext @ uri_owl_equivalentClass @ SV156 @ SV159 )
        = $false )
      | ( ( ic @ SV159 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[954]) ).

thf(966,plain,
    ! [SV144: $i,SV150: $i] :
      ( ( ( ic @ SV150 )
        = $false )
      | ( ( ic @ SV144 )
        = $false )
      | ( ( icext @ SV144 @ ( sK2_X @ SV150 @ SV144 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[955]) ).

thf(967,plain,
    ! [SV150: $i,SV144: $i] :
      ( ( ( ic @ SV144 )
        = $false )
      | ( ( ~ ( ic @ SV150 ) )
        = $true )
      | ( ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[956]) ).

thf(968,plain,
    ! [SV154: $i,SV160: $i,SV152: $i] :
      ( ( ( icext @ SV152 @ SV160 )
        = $false )
      | ( ( icext @ SV154 @ SV160 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV152 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[957]) ).

thf(969,plain,
    ! [SV163: $i,SV157: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV157 @ SV163 )
        = $false )
      | ( ( ic @ SV157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(970,plain,
    ! [SV161: $i,SV158: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV158 @ SV161 )
        = $false )
      | ( ( ic @ SV161 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[959]) ).

thf(971,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ~ ( ic @ SV137 ) )
        = $true )
      | ( ( ~ ( ic @ SV147 ) )
        = $true )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[960]) ).

thf(972,plain,
    ! [SV137: $i,SV147: $i] :
      ( ( ( ic @ SV147 )
        = $false )
      | ( ( ic @ SV137 )
        = $false )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(973,plain,
    ! [SV153: $i,SV164: $i,SV151: $i] :
      ( ( ( ~ ( icext @ SV151 @ SV164 )
          | ( icext @ SV153 @ SV164 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(974,plain,
    ! [SV151: $i,SV165: $i,SV153: $i] :
      ( ( ( ~ ( icext @ SV153 @ SV165 )
          | ( icext @ SV151 @ SV165 ) )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[963]) ).

thf(975,plain,
    ! [SV144: $i,SV150: $i] :
      ( ( ( ic @ SV150 )
        = $false )
      | ( ( ic @ SV144 )
        = $false )
      | ( ( icext @ SV150 @ ( sK2_X @ SV150 @ SV144 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV144 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[967]) ).

thf(976,plain,
    ! [SV147: $i,SV137: $i] :
      ( ( ( ic @ SV137 )
        = $false )
      | ( ( ~ ( ic @ SV147 ) )
        = $true )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(977,plain,
    ! [SV153: $i,SV164: $i,SV151: $i] :
      ( ( ( ~ ( icext @ SV151 @ SV164 ) )
        = $true )
      | ( ( icext @ SV153 @ SV164 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[973]) ).

thf(978,plain,
    ! [SV151: $i,SV165: $i,SV153: $i] :
      ( ( ( ~ ( icext @ SV153 @ SV165 ) )
        = $true )
      | ( ( icext @ SV151 @ SV165 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[974]) ).

thf(979,plain,
    ! [SV137: $i,SV147: $i] :
      ( ( ( ic @ SV147 )
        = $false )
      | ( ( ic @ SV137 )
        = $false )
      | ( ( icext @ SV137 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( icext @ SV147 @ ( sK1_X @ SV147 @ SV137 ) )
        = $false )
      | ( ( iext @ uri_owl_equivalentClass @ SV137 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[976]) ).

thf(980,plain,
    ! [SV153: $i,SV164: $i,SV151: $i] :
      ( ( ( icext @ SV151 @ SV164 )
        = $false )
      | ( ( icext @ SV153 @ SV164 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[977]) ).

thf(981,plain,
    ! [SV151: $i,SV165: $i,SV153: $i] :
      ( ( ( icext @ SV153 @ SV165 )
        = $false )
      | ( ( icext @ SV151 @ SV165 )
        = $true )
      | ( ( iext @ uri_owl_equivalentClass @ SV151 @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[978]) ).

thf(982,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[799,981,980,979,975,972,970,969,968,966,965,964,907,906,902,901,897,896,895,894,888,887,842,819,817,805,803,801]) ).

thf(983,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[982,234,421,608,795]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 11:59:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  
% 0.13/0.36   No.of.Axioms: 13
% 0.13/0.36  
% 0.13/0.36   Length.of.Defs: 0
% 0.13/0.36  
% 0.13/0.36   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:13,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:15,loop_count:0,foatp_calls:0,translation:fof_full).....................................................
% 0.60/0.83  
% 0.60/0.83  ********************************
% 0.60/0.83  *   All subproblems solved!    *
% 0.60/0.83  ********************************
% 0.60/0.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:982,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.92/1.12  
% 0.92/1.12  %**** Beginning of derivation protocol ****
% 0.92/1.12  % SZS output start CNFRefutation
% See solution above
% 0.92/1.12  
% 0.92/1.12  %**** End of derivation protocol ****
% 0.92/1.12  %**** no. of clauses in derivation: 983 ****
% 0.92/1.12  %**** clause counter: 982 ****
% 0.92/1.12  
% 0.92/1.12  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:982,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------