TSTP Solution File: SWB032+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 19:13:39 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  306 ( 161 unt;  14 typ;   0 def)
%            Number of atoms       : 1973 ( 485 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 3702 ( 783   ~; 656   |;  39   &;2208   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :  688 (   0   ^ 688   !;   0   ?; 688   :)

% 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_sK1_X,type,
    sK1_X: $i > $i > $i ).

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

thf(tp_uri_owl_disjointWith,type,
    uri_owl_disjointWith: $i ).

thf(tp_uri_owl_rational,type,
    uri_owl_rational: $i ).

thf(tp_uri_owl_real,type,
    uri_owl_real: $i ).

thf(tp_uri_rdf_PlainLiteral,type,
    uri_rdf_PlainLiteral: $i ).

thf(tp_uri_rdfs_subClassOf,type,
    uri_rdfs_subClassOf: $i ).

thf(tp_uri_xsd_decimal,type,
    uri_xsd_decimal: $i ).

thf(tp_uri_xsd_integer,type,
    uri_xsd_integer: $i ).

thf(tp_uri_xsd_string,type,
    uri_xsd_string: $i ).

thf(1,axiom,
    ! [C1: $i,C2: $i] :
      ( ( iext @ uri_owl_disjointWith @ C1 @ C2 )
    <=> ( ( ic @ C1 )
        & ( ic @ C2 )
        & ! [X: $i] :
            ~ ( ( icext @ C1 @ X )
              & ( icext @ C2 @ X ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

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] :
      ( ( idc @ X )
     => ( ic @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

thf(4,axiom,
    ! [X: $i] :
      ( ( icext @ uri_xsd_integer @ X )
     => ( icext @ uri_xsd_decimal @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( icext @ uri_xsd_decimal @ X )
     => ( icext @ uri_owl_rational @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( icext @ uri_owl_rational @ X )
     => ( icext @ uri_owl_real @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( icext @ uri_xsd_string @ X )
     => ( icext @ uri_rdf_PlainLiteral @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).

thf(8,axiom,
    ! [X: $i] :
      ~ ( ( icext @ uri_rdf_PlainLiteral @ X )
        & ( icext @ uri_owl_real @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

thf(9,axiom,
    idc @ uri_xsd_integer,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).

thf(10,axiom,
    idc @ uri_xsd_decimal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).

thf(11,axiom,
    idc @ uri_xsd_string,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).

thf(12,conjecture,
    ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
    & ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).

thf(13,negated_conjecture,
    ( ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
      & ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[12]) ).

thf(14,plain,
    ( ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
      & ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) )
    = $false ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(15,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( iext @ uri_owl_disjointWith @ C1 @ C2 )
        <=> ( ( ic @ C1 )
            & ( ic @ C2 )
            & ! [X: $i] :
                ~ ( ( icext @ C1 @ X )
                  & ( icext @ C2 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(16,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
        <=> ( ( ic @ C1 )
            & ( ic @ C2 )
            & ! [X: $i] :
                ( ( icext @ C1 @ X )
               => ( icext @ C2 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(17,plain,
    ( ( ! [X: $i] :
          ( ( idc @ X )
         => ( ic @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(18,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_xsd_integer @ X )
         => ( icext @ uri_xsd_decimal @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_xsd_decimal @ X )
         => ( icext @ uri_owl_rational @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(20,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_owl_rational @ X )
         => ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(21,plain,
    ( ( ! [X: $i] :
          ( ( icext @ uri_xsd_string @ X )
         => ( icext @ uri_rdf_PlainLiteral @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(22,plain,
    ( ( ! [X: $i] :
          ~ ( ( icext @ uri_rdf_PlainLiteral @ X )
            & ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(23,plain,
    ( ( idc @ uri_xsd_integer )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(24,plain,
    ( ( idc @ uri_xsd_decimal )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(25,plain,
    ( ( idc @ uri_xsd_string )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(26,plain,
    ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[14]) ).

thf(27,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[14]) ).

thf(28,plain,
    ( ( ~ ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[26]) ).

thf(29,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[27]) ).

thf(30,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
            & ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) )
          | ~ ( ic @ C1 )
          | ~ ( ic @ C2 )
          | ( iext @ uri_owl_disjointWith @ C1 @ C2 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ! [X: $i] :
              ( ~ ( icext @ C1 @ X )
              | ~ ( icext @ C2 @ X ) ) )
      & ! [C1: $i] :
          ( ! [C2: $i] :
              ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C1 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(31,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)],[16]) ).

thf(32,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(33,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_integer @ X )
          | ( icext @ uri_xsd_decimal @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(34,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_decimal @ X )
          | ( icext @ uri_owl_rational @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_rational @ X )
          | ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(36,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_string @ X )
          | ( icext @ uri_rdf_PlainLiteral @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(37,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdf_PlainLiteral @ X )
          | ~ ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(38,plain,
    ( ( idc @ uri_xsd_string )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(39,plain,
    ( ( idc @ uri_xsd_decimal )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(40,plain,
    ( ( idc @ uri_xsd_integer )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(41,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdf_PlainLiteral @ X )
          | ~ ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(42,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_string @ X )
          | ( icext @ uri_rdf_PlainLiteral @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(43,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_rational @ X )
          | ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(44,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_decimal @ X )
          | ( icext @ uri_owl_rational @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(45,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_integer @ X )
          | ( icext @ uri_xsd_decimal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(47,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)],[31]) ).

thf(48,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
            & ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) )
          | ~ ( ic @ C1 )
          | ~ ( ic @ C2 )
          | ( iext @ uri_owl_disjointWith @ C1 @ C2 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ! [X: $i] :
              ( ~ ( icext @ C1 @ X )
              | ~ ( icext @ C2 @ X ) ) )
      & ! [C1: $i] :
          ( ! [C2: $i] :
              ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C1 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(49,plain,
    ( ( ~ ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(50,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)],[47]) ).

thf(51,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                    | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
                | ~ ( ic @ SX0 )
                | ~ ( ic @ SX1 )
                | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ~ ( icext @ SX0 @ SX2 )
                          | ~ ( icext @ SX1 @ SX2 ) ) )
                | ~ ~ ( ~ ! [SX0: $i] :
                            ( ! [SX1: $i] :
                                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                            | ( ic @ SX0 ) )
                      | ~ ! [SX0: $i,SX1: $i] :
                            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                            | ( ic @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(52,plain,
    ! [SV1: $i] :
      ( ( ~ ( icext @ uri_rdf_PlainLiteral @ SV1 )
        | ~ ( icext @ uri_owl_real @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(53,plain,
    ! [SV2: $i] :
      ( ( ~ ( icext @ uri_xsd_string @ SV2 )
        | ( icext @ uri_rdf_PlainLiteral @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(54,plain,
    ! [SV3: $i] :
      ( ( ~ ( icext @ uri_owl_rational @ SV3 )
        | ( icext @ uri_owl_real @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(55,plain,
    ! [SV4: $i] :
      ( ( ~ ( icext @ uri_xsd_decimal @ SV4 )
        | ( icext @ uri_owl_rational @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(56,plain,
    ! [SV5: $i] :
      ( ( ~ ( icext @ uri_xsd_integer @ SV5 )
        | ( icext @ uri_xsd_decimal @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(57,plain,
    ! [SV6: $i] :
      ( ( ~ ( idc @ SV6 )
        | ( ic @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(58,plain,
    ( ( iext @ uri_owl_disjointWith @ uri_xsd_decimal @ uri_xsd_string )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(59,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)],[50]) ).

thf(60,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(61,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( icext @ uri_rdf_PlainLiteral @ SV1 ) )
        = $true )
      | ( ( ~ ( icext @ uri_owl_real @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(62,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( icext @ uri_xsd_string @ SV2 ) )
        = $true )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(63,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( icext @ uri_owl_rational @ SV3 ) )
        = $true )
      | ( ( icext @ uri_owl_real @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(64,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( icext @ uri_xsd_decimal @ SV4 ) )
        = $true )
      | ( ( icext @ uri_owl_rational @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(65,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( icext @ uri_xsd_integer @ SV5 ) )
        = $true )
      | ( ( icext @ uri_xsd_decimal @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(66,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( idc @ SV6 ) )
        = $true )
      | ( ( ic @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(67,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)],[59]) ).

thf(68,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)],[59]) ).

thf(69,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[60]) ).

thf(70,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[60]) ).

thf(71,plain,
    ! [SV1: $i] :
      ( ( ( icext @ uri_rdf_PlainLiteral @ SV1 )
        = $false )
      | ( ( ~ ( icext @ uri_owl_real @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(72,plain,
    ! [SV2: $i] :
      ( ( ( icext @ uri_xsd_string @ SV2 )
        = $false )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(73,plain,
    ! [SV3: $i] :
      ( ( ( icext @ uri_owl_rational @ SV3 )
        = $false )
      | ( ( icext @ uri_owl_real @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(74,plain,
    ! [SV4: $i] :
      ( ( ( icext @ uri_xsd_decimal @ SV4 )
        = $false )
      | ( ( icext @ uri_owl_rational @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(75,plain,
    ! [SV5: $i] :
      ( ( ( icext @ uri_xsd_integer @ SV5 )
        = $false )
      | ( ( icext @ uri_xsd_decimal @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(76,plain,
    ! [SV6: $i] :
      ( ( ( idc @ SV6 )
        = $false )
      | ( ( ic @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(77,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)],[67]) ).

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

thf(79,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
              | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[69]) ).

thf(80,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ~ ( icext @ SX0 @ SX2 )
                    | ~ ( icext @ SX1 @ SX2 ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ( ic @ SX0 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ( ic @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[70]) ).

thf(81,plain,
    ! [SV1: $i] :
      ( ( ( icext @ uri_owl_real @ SV1 )
        = $false )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(82,plain,
    ! [SV7: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ( ~ ( icext @ SV7 @ ( sK2_X @ SY12 @ SV7 ) )
                | ~ ~ ( icext @ SY12 @ ( sK2_X @ SY12 @ SV7 ) ) )
            | ~ ( ic @ SV7 )
            | ~ ( ic @ SY12 )
            | ( iext @ uri_rdfs_subClassOf @ SV7 @ SY12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(83,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)],[78]) ).

thf(84,plain,
    ! [SV8: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ( ~ ( icext @ SV8 @ ( sK1_X @ SY13 @ SV8 ) )
                | ~ ( icext @ SY13 @ ( sK1_X @ SY13 @ SV8 ) ) )
            | ~ ( ic @ SV8 )
            | ~ ( ic @ SY13 )
            | ( iext @ uri_owl_disjointWith @ SV8 @ SY13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(85,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ~ ( icext @ SX0 @ SX2 )
                | ~ ( icext @ SX1 @ SX2 ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(86,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ~ ( ~ ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
            | ~ ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) )
        | ~ ( ic @ SV7 )
        | ~ ( ic @ SV9 )
        | ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(87,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)],[83]) ).

thf(88,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)],[83]) ).

thf(89,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ~ ( ~ ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
            | ~ ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) ) )
        | ~ ( ic @ SV8 )
        | ~ ( ic @ SV10 )
        | ( iext @ uri_owl_disjointWith @ SV8 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(90,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ~ ( icext @ SX0 @ SX2 )
                | ~ ( icext @ SX1 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[85]) ).

thf(91,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[85]) ).

thf(92,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
              | ~ ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) )
          | ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(93,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)],[87]) ).

thf(94,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)],[88]) ).

thf(95,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
              | ~ ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) ) )
          | ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(96,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ~ ( icext @ SX0 @ SX2 )
              | ~ ( icext @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(97,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ( ic @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ( ic @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[91]) ).

thf(98,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
              | ~ ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(99,plain,
    ! [SV11: $i] :
      ( ( ! [SY14: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV11 @ SY14 )
            | ! [SY15: $i] :
                ( ~ ( icext @ SV11 @ SY15 )
                | ( icext @ SY14 @ SY15 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(100,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)],[94]) ).

thf(101,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
              | ~ ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(102,plain,
    ! [SV12: $i] :
      ( ( ! [SY16: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SV12 @ SY16 )
            | ! [SY17: $i] :
                ( ~ ( icext @ SV12 @ SY17 )
                | ~ ( icext @ SY16 @ SY17 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(103,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(104,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
          | ~ ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(105,plain,
    ! [SV13: $i,SV11: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 )
        | ! [SY18: $i] :
            ( ~ ( icext @ SV11 @ SY18 )
            | ( icext @ SV13 @ SY18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(106,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[100]) ).

thf(107,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[100]) ).

thf(108,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
          | ~ ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(109,plain,
    ! [SV14: $i,SV12: $i] :
      ( ( ~ ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        | ! [SY19: $i] :
            ( ~ ( icext @ SV12 @ SY19 )
            | ~ ( icext @ SV14 @ SY19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(110,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(111,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(112,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(113,plain,
    ! [SV7: $i,SV9: $i] :
      ( ( ( ~ ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(114,plain,
    ! [SV13: $i,SV11: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 ) )
        = $true )
      | ( ( ! [SY18: $i] :
              ( ~ ( icext @ SV11 @ SY18 )
              | ( icext @ SV13 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(115,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[106]) ).

thf(116,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[107]) ).

thf(117,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(118,plain,
    ! [SV8: $i,SV10: $i] :
      ( ( ( ~ ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(119,plain,
    ! [SV14: $i,SV12: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV12 @ SV14 ) )
        = $true )
      | ( ( ! [SY19: $i] :
              ( ~ ( icext @ SV12 @ SY19 )
              | ~ ( icext @ SV14 @ SY19 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[109]) ).

thf(120,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[110]) ).

thf(121,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[111]) ).

thf(122,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
        = $true )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[112]) ).

thf(123,plain,
    ! [SV7: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(124,plain,
    ! [SV13: $i,SV11: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 )
        = $false )
      | ( ( ! [SY18: $i] :
              ( ~ ( icext @ SV11 @ SY18 )
              | ( icext @ SV13 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[114]) ).

thf(125,plain,
    ! [SV15: $i] :
      ( ( ! [SY20: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV15 @ SY20 )
        | ( ic @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(126,plain,
    ! [SV16: $i] :
      ( ( ! [SY21: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV16 @ SY21 )
            | ( ic @ SY21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(127,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(128,plain,
    ! [SV8: $i,SV10: $i] :
      ( ( ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( ~ ( ic @ SV8 )
          | ~ ( ic @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[118]) ).

thf(129,plain,
    ! [SV14: $i,SV12: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        = $false )
      | ( ( ! [SY19: $i] :
              ( ~ ( icext @ SV12 @ SY19 )
              | ~ ( icext @ SV14 @ SY19 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(130,plain,
    ! [SV17: $i] :
      ( ( ! [SY22: $i] :
            ~ ( iext @ uri_owl_disjointWith @ SV17 @ SY22 )
        | ( ic @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(131,plain,
    ! [SV18: $i] :
      ( ( ! [SY23: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SV18 @ SY23 )
            | ( ic @ SY23 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(132,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( ic @ SV7 ) )
        = $true )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(133,plain,
    ! [SV7: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) )
        = $false )
      | ( ( ~ ( ic @ SV7 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(134,plain,
    ! [SV13: $i,SV19: $i,SV11: $i] :
      ( ( ( ~ ( icext @ SV11 @ SV19 )
          | ( icext @ SV13 @ SV19 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[124]) ).

thf(135,plain,
    ! [SV15: $i] :
      ( ( ( ! [SY20: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV15 @ SY20 ) )
        = $true )
      | ( ( ic @ SV15 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[125]) ).

thf(136,plain,
    ! [SV20: $i,SV16: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV16 @ SV20 )
        | ( ic @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[126]) ).

thf(137,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( ic @ SV8 ) )
        = $true )
      | ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[127]) ).

thf(138,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ~ ( ic @ SV8 ) )
        = $true )
      | ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(139,plain,
    ! [SV14: $i,SV21: $i,SV12: $i] :
      ( ( ( ~ ( icext @ SV12 @ SV21 )
          | ~ ( icext @ SV14 @ SV21 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[129]) ).

thf(140,plain,
    ! [SV17: $i] :
      ( ( ( ! [SY22: $i] :
              ~ ( iext @ uri_owl_disjointWith @ SV17 @ SY22 ) )
        = $true )
      | ( ( ic @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[130]) ).

thf(141,plain,
    ! [SV22: $i,SV18: $i] :
      ( ( ~ ( iext @ uri_owl_disjointWith @ SV18 @ SV22 )
        | ( ic @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[131]) ).

thf(142,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ic @ SV7 )
        = $false )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(143,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ~ ( ic @ SV7 ) )
        = $true )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(144,plain,
    ! [SV13: $i,SV19: $i,SV11: $i] :
      ( ( ( ~ ( icext @ SV11 @ SV19 ) )
        = $true )
      | ( ( icext @ SV13 @ SV19 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[134]) ).

thf(145,plain,
    ! [SV23: $i,SV15: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV15 @ SV23 ) )
        = $true )
      | ( ( ic @ SV15 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[135]) ).

thf(146,plain,
    ! [SV20: $i,SV16: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV16 @ SV20 ) )
        = $true )
      | ( ( ic @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[136]) ).

thf(147,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ic @ SV8 )
        = $false )
      | ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(148,plain,
    ! [SV10: $i,SV8: $i] :
      ( ( ( ic @ SV8 )
        = $false )
      | ( ( ~ ( ic @ SV10 ) )
        = $true )
      | ( ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(149,plain,
    ! [SV14: $i,SV21: $i,SV12: $i] :
      ( ( ( ~ ( icext @ SV12 @ SV21 ) )
        = $true )
      | ( ( ~ ( icext @ SV14 @ SV21 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[139]) ).

thf(150,plain,
    ! [SV24: $i,SV17: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV17 @ SV24 ) )
        = $true )
      | ( ( ic @ SV17 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(151,plain,
    ! [SV22: $i,SV18: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV18 @ SV22 ) )
        = $true )
      | ( ( ic @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[141]) ).

thf(152,plain,
    ! [SV7: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV7 )
        = $false )
      | ( ( icext @ SV7 @ ( sK2_X @ SV9 @ SV7 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(153,plain,
    ! [SV9: $i,SV7: $i] :
      ( ( ( ic @ SV7 )
        = $false )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(154,plain,
    ! [SV13: $i,SV19: $i,SV11: $i] :
      ( ( ( icext @ SV11 @ SV19 )
        = $false )
      | ( ( icext @ SV13 @ SV19 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV11 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(155,plain,
    ! [SV23: $i,SV15: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV15 @ SV23 )
        = $false )
      | ( ( ic @ SV15 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[145]) ).

thf(156,plain,
    ! [SV20: $i,SV16: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV16 @ SV20 )
        = $false )
      | ( ( ic @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(157,plain,
    ! [SV8: $i,SV10: $i] :
      ( ( ( ic @ SV10 )
        = $false )
      | ( ( ic @ SV8 )
        = $false )
      | ( ( icext @ SV8 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(158,plain,
    ! [SV8: $i,SV10: $i] :
      ( ( ( ic @ SV10 )
        = $false )
      | ( ( ic @ SV8 )
        = $false )
      | ( ( icext @ SV10 @ ( sK1_X @ SV10 @ SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV8 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(159,plain,
    ! [SV14: $i,SV21: $i,SV12: $i] :
      ( ( ( icext @ SV12 @ SV21 )
        = $false )
      | ( ( ~ ( icext @ SV14 @ SV21 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(160,plain,
    ! [SV24: $i,SV17: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV17 @ SV24 )
        = $false )
      | ( ( ic @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(161,plain,
    ! [SV22: $i,SV18: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV18 @ SV22 )
        = $false )
      | ( ( ic @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(162,plain,
    ! [SV7: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV7 )
        = $false )
      | ( ( icext @ SV9 @ ( sK2_X @ SV9 @ SV7 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(163,plain,
    ! [SV12: $i,SV21: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ SV21 )
        = $false )
      | ( ( icext @ SV12 @ SV21 )
        = $false )
      | ( ( iext @ uri_owl_disjointWith @ SV12 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(164,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[38,163,162,161,160,158,157,156,155,154,152,81,76,75,74,73,72,58,40,39]) ).

thf(165,plain,
    ( ( idc @ uri_xsd_string )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(166,plain,
    ( ( idc @ uri_xsd_decimal )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(167,plain,
    ( ( idc @ uri_xsd_integer )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(168,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_rdf_PlainLiteral @ X )
          | ~ ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(169,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_string @ X )
          | ( icext @ uri_rdf_PlainLiteral @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(170,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_owl_rational @ X )
          | ( icext @ uri_owl_real @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(171,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_decimal @ X )
          | ( icext @ uri_owl_rational @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(172,plain,
    ( ( ! [X: $i] :
          ( ~ ( icext @ uri_xsd_integer @ X )
          | ( icext @ uri_xsd_decimal @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(173,plain,
    ( ( ! [X: $i] :
          ( ~ ( idc @ X )
          | ( ic @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(174,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)],[31]) ).

thf(175,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ( ( icext @ C1 @ ( sK1_X @ C2 @ C1 ) )
            & ( icext @ C2 @ ( sK1_X @ C2 @ C1 ) ) )
          | ~ ( ic @ C1 )
          | ~ ( ic @ C2 )
          | ( iext @ uri_owl_disjointWith @ C1 @ C2 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ! [X: $i] :
              ( ~ ( icext @ C1 @ X )
              | ~ ( icext @ C2 @ X ) ) )
      & ! [C1: $i] :
          ( ! [C2: $i] :
              ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C1 ) )
      & ! [C1: $i,C2: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ C1 @ C2 )
          | ( ic @ C2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(176,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(177,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)],[174]) ).

thf(178,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                    | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
                | ~ ( ic @ SX0 )
                | ~ ( ic @ SX1 )
                | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ~ ( icext @ SX0 @ SX2 )
                          | ~ ( icext @ SX1 @ SX2 ) ) )
                | ~ ~ ( ~ ! [SX0: $i] :
                            ( ! [SX1: $i] :
                                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                            | ( ic @ SX0 ) )
                      | ~ ! [SX0: $i,SX1: $i] :
                            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                            | ( ic @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(179,plain,
    ! [SV25: $i] :
      ( ( ~ ( icext @ uri_rdf_PlainLiteral @ SV25 )
        | ~ ( icext @ uri_owl_real @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(180,plain,
    ! [SV26: $i] :
      ( ( ~ ( icext @ uri_xsd_string @ SV26 )
        | ( icext @ uri_rdf_PlainLiteral @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(181,plain,
    ! [SV27: $i] :
      ( ( ~ ( icext @ uri_owl_rational @ SV27 )
        | ( icext @ uri_owl_real @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(182,plain,
    ! [SV28: $i] :
      ( ( ~ ( icext @ uri_xsd_decimal @ SV28 )
        | ( icext @ uri_owl_rational @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(183,plain,
    ! [SV29: $i] :
      ( ( ~ ( icext @ uri_xsd_integer @ SV29 )
        | ( icext @ uri_xsd_decimal @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(184,plain,
    ! [SV30: $i] :
      ( ( ~ ( idc @ SV30 )
        | ( ic @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(185,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_xsd_integer @ uri_xsd_decimal )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[176]) ).

thf(186,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)],[177]) ).

thf(187,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(188,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( icext @ uri_rdf_PlainLiteral @ SV25 ) )
        = $true )
      | ( ( ~ ( icext @ uri_owl_real @ SV25 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[179]) ).

thf(189,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( icext @ uri_xsd_string @ SV26 ) )
        = $true )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[180]) ).

thf(190,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( icext @ uri_owl_rational @ SV27 ) )
        = $true )
      | ( ( icext @ uri_owl_real @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(191,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( icext @ uri_xsd_decimal @ SV28 ) )
        = $true )
      | ( ( icext @ uri_owl_rational @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[182]) ).

thf(192,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( icext @ uri_xsd_integer @ SV29 ) )
        = $true )
      | ( ( icext @ uri_xsd_decimal @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(193,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( idc @ SV30 ) )
        = $true )
      | ( ( ic @ SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(194,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)],[186]) ).

thf(195,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)],[186]) ).

thf(196,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
                | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
            | ~ ( ic @ SX0 )
            | ~ ( ic @ SX1 )
            | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(197,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                        | ( ic @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(198,plain,
    ! [SV25: $i] :
      ( ( ( icext @ uri_rdf_PlainLiteral @ SV25 )
        = $false )
      | ( ( ~ ( icext @ uri_owl_real @ SV25 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(199,plain,
    ! [SV26: $i] :
      ( ( ( icext @ uri_xsd_string @ SV26 )
        = $false )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(200,plain,
    ! [SV27: $i] :
      ( ( ( icext @ uri_owl_rational @ SV27 )
        = $false )
      | ( ( icext @ uri_owl_real @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(201,plain,
    ! [SV28: $i] :
      ( ( ( icext @ uri_xsd_decimal @ SV28 )
        = $false )
      | ( ( icext @ uri_owl_rational @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(202,plain,
    ! [SV29: $i] :
      ( ( ( icext @ uri_xsd_integer @ SV29 )
        = $false )
      | ( ( icext @ uri_xsd_decimal @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(203,plain,
    ! [SV30: $i] :
      ( ( ( idc @ SV30 )
        = $false )
      | ( ( ic @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(204,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)],[194]) ).

thf(205,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)],[195]) ).

thf(206,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( icext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) )
              | ~ ( icext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) ) )
          | ~ ( ic @ SX0 )
          | ~ ( ic @ SX1 )
          | ( iext @ uri_owl_disjointWith @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[196]) ).

thf(207,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ~ ( icext @ SX0 @ SX2 )
                    | ~ ( icext @ SX1 @ SX2 ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ( ic @ SX0 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                      | ( ic @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[197]) ).

thf(208,plain,
    ! [SV25: $i] :
      ( ( ( icext @ uri_owl_real @ SV25 )
        = $false )
      | ( ( icext @ uri_rdf_PlainLiteral @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(209,plain,
    ! [SV31: $i] :
      ( ( ! [SY24: $i] :
            ( ~ ( ~ ( icext @ SV31 @ ( sK2_X @ SY24 @ SV31 ) )
                | ~ ~ ( icext @ SY24 @ ( sK2_X @ SY24 @ SV31 ) ) )
            | ~ ( ic @ SV31 )
            | ~ ( ic @ SY24 )
            | ( iext @ uri_rdfs_subClassOf @ SV31 @ SY24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[204]) ).

thf(210,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)],[205]) ).

thf(211,plain,
    ! [SV32: $i] :
      ( ( ! [SY25: $i] :
            ( ~ ( ~ ( icext @ SV32 @ ( sK1_X @ SY25 @ SV32 ) )
                | ~ ( icext @ SY25 @ ( sK1_X @ SY25 @ SV32 ) ) )
            | ~ ( ic @ SV32 )
            | ~ ( ic @ SY25 )
            | ( iext @ uri_owl_disjointWith @ SV32 @ SY25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(212,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ~ ( icext @ SX0 @ SX2 )
                | ~ ( icext @ SX1 @ SX2 ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(213,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ~ ( ~ ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
            | ~ ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) )
        | ~ ( ic @ SV31 )
        | ~ ( ic @ SV33 )
        | ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(214,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)],[210]) ).

thf(215,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)],[210]) ).

thf(216,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ~ ( ~ ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
            | ~ ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) ) )
        | ~ ( ic @ SV32 )
        | ~ ( ic @ SV34 )
        | ( iext @ uri_owl_disjointWith @ SV32 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(217,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ~ ( icext @ SX0 @ SX2 )
                | ~ ( icext @ SX1 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[212]) ).

thf(218,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[212]) ).

thf(219,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( ~ ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
              | ~ ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) )
          | ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[213]) ).

thf(220,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)],[214]) ).

thf(221,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)],[215]) ).

thf(222,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
              | ~ ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) ) )
          | ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[216]) ).

thf(223,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ~ ( icext @ SX0 @ SX2 )
              | ~ ( icext @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[217]) ).

thf(224,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ( ic @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
                | ( ic @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[218]) ).

thf(225,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( ~ ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
              | ~ ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[219]) ).

thf(226,plain,
    ! [SV35: $i] :
      ( ( ! [SY26: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV35 @ SY26 )
            | ! [SY27: $i] :
                ( ~ ( icext @ SV35 @ SY27 )
                | ( icext @ SY26 @ SY27 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(227,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)],[221]) ).

thf(228,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
              | ~ ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) ) ) )
        = $true )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[222]) ).

thf(229,plain,
    ! [SV36: $i] :
      ( ( ! [SY28: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SV36 @ SY28 )
            | ! [SY29: $i] :
                ( ~ ( icext @ SV36 @ SY29 )
                | ~ ( icext @ SY28 @ SY29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(230,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(231,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
          | ~ ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(232,plain,
    ! [SV37: $i,SV35: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 )
        | ! [SY30: $i] :
            ( ~ ( icext @ SV35 @ SY30 )
            | ( icext @ SV37 @ SY30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(233,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(234,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(235,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
          | ~ ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(236,plain,
    ! [SV38: $i,SV36: $i] :
      ( ( ~ ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        | ! [SY31: $i] :
            ( ~ ( icext @ SV36 @ SY31 )
            | ~ ( icext @ SV38 @ SY31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(237,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(238,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(239,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(240,plain,
    ! [SV31: $i,SV33: $i] :
      ( ( ( ~ ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(241,plain,
    ! [SV37: $i,SV35: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 ) )
        = $true )
      | ( ( ! [SY30: $i] :
              ( ~ ( icext @ SV35 @ SY30 )
              | ( icext @ SV37 @ SY30 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(242,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(243,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(244,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(245,plain,
    ! [SV32: $i,SV34: $i] :
      ( ( ( ~ ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(246,plain,
    ! [SV38: $i,SV36: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV36 @ SV38 ) )
        = $true )
      | ( ( ! [SY31: $i] :
              ( ~ ( icext @ SV36 @ SY31 )
              | ~ ( icext @ SV38 @ SY31 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[236]) ).

thf(247,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[237]) ).

thf(248,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_disjointWith @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[238]) ).

thf(249,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
        = $true )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(250,plain,
    ! [SV31: $i,SV33: $i] :
      ( ( ( ~ ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[240]) ).

thf(251,plain,
    ! [SV37: $i,SV35: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 )
        = $false )
      | ( ( ! [SY30: $i] :
              ( ~ ( icext @ SV35 @ SY30 )
              | ( icext @ SV37 @ SY30 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(252,plain,
    ! [SV39: $i] :
      ( ( ! [SY32: $i] :
            ~ ( iext @ uri_rdfs_subClassOf @ SV39 @ SY32 )
        | ( ic @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(253,plain,
    ! [SV40: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( iext @ uri_rdfs_subClassOf @ SV40 @ SY33 )
            | ( ic @ SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(254,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(255,plain,
    ! [SV32: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV32 )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(256,plain,
    ! [SV38: $i,SV36: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        = $false )
      | ( ( ! [SY31: $i] :
              ( ~ ( icext @ SV36 @ SY31 )
              | ~ ( icext @ SV38 @ SY31 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(257,plain,
    ! [SV41: $i] :
      ( ( ! [SY34: $i] :
            ~ ( iext @ uri_owl_disjointWith @ SV41 @ SY34 )
        | ( ic @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(258,plain,
    ! [SV42: $i] :
      ( ( ! [SY35: $i] :
            ( ~ ( iext @ uri_owl_disjointWith @ SV42 @ SY35 )
            | ( ic @ SY35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(259,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( ic @ SV31 ) )
        = $true )
      | ( ( ~ ( ic @ SV33 ) )
        = $true )
      | ( ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[249]) ).

thf(260,plain,
    ! [SV31: $i,SV33: $i] :
      ( ( ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) )
        = $false )
      | ( ( ~ ( ic @ SV31 )
          | ~ ( ic @ SV33 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(261,plain,
    ! [SV37: $i,SV43: $i,SV35: $i] :
      ( ( ( ~ ( icext @ SV35 @ SV43 )
          | ( icext @ SV37 @ SV43 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(262,plain,
    ! [SV39: $i] :
      ( ( ( ! [SY32: $i] :
              ~ ( iext @ uri_rdfs_subClassOf @ SV39 @ SY32 ) )
        = $true )
      | ( ( ic @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[252]) ).

thf(263,plain,
    ! [SV44: $i,SV40: $i] :
      ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV40 @ SV44 )
        | ( ic @ SV44 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(264,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[254]) ).

thf(265,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[255]) ).

thf(266,plain,
    ! [SV38: $i,SV45: $i,SV36: $i] :
      ( ( ( ~ ( icext @ SV36 @ SV45 )
          | ~ ( icext @ SV38 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(267,plain,
    ! [SV41: $i] :
      ( ( ( ! [SY34: $i] :
              ~ ( iext @ uri_owl_disjointWith @ SV41 @ SY34 ) )
        = $true )
      | ( ( ic @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[257]) ).

thf(268,plain,
    ! [SV46: $i,SV42: $i] :
      ( ( ~ ( iext @ uri_owl_disjointWith @ SV42 @ SV46 )
        | ( ic @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(269,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ic @ SV31 )
        = $false )
      | ( ( ~ ( ic @ SV33 ) )
        = $true )
      | ( ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(270,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ~ ( ic @ SV31 ) )
        = $true )
      | ( ( ~ ( ic @ SV33 ) )
        = $true )
      | ( ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[260]) ).

thf(271,plain,
    ! [SV37: $i,SV43: $i,SV35: $i] :
      ( ( ( ~ ( icext @ SV35 @ SV43 ) )
        = $true )
      | ( ( icext @ SV37 @ SV43 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[261]) ).

thf(272,plain,
    ! [SV47: $i,SV39: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV39 @ SV47 ) )
        = $true )
      | ( ( ic @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(273,plain,
    ! [SV44: $i,SV40: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV40 @ SV44 ) )
        = $true )
      | ( ( ic @ SV44 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(274,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ic @ SV32 )
        = $false )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(275,plain,
    ! [SV34: $i,SV32: $i] :
      ( ( ( ic @ SV32 )
        = $false )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(276,plain,
    ! [SV38: $i,SV45: $i,SV36: $i] :
      ( ( ( ~ ( icext @ SV36 @ SV45 ) )
        = $true )
      | ( ( ~ ( icext @ SV38 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(277,plain,
    ! [SV48: $i,SV41: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV41 @ SV48 ) )
        = $true )
      | ( ( ic @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(278,plain,
    ! [SV46: $i,SV42: $i] :
      ( ( ( ~ ( iext @ uri_owl_disjointWith @ SV42 @ SV46 ) )
        = $true )
      | ( ( ic @ SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(279,plain,
    ! [SV31: $i,SV33: $i] :
      ( ( ( ic @ SV33 )
        = $false )
      | ( ( ic @ SV31 )
        = $false )
      | ( ( icext @ SV31 @ ( sK2_X @ SV33 @ SV31 ) )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(280,plain,
    ! [SV33: $i,SV31: $i] :
      ( ( ( ic @ SV31 )
        = $false )
      | ( ( ~ ( ic @ SV33 ) )
        = $true )
      | ( ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(281,plain,
    ! [SV37: $i,SV43: $i,SV35: $i] :
      ( ( ( icext @ SV35 @ SV43 )
        = $false )
      | ( ( icext @ SV37 @ SV43 )
        = $true )
      | ( ( iext @ uri_rdfs_subClassOf @ SV35 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[271]) ).

thf(282,plain,
    ! [SV47: $i,SV39: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV39 @ SV47 )
        = $false )
      | ( ( ic @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(283,plain,
    ! [SV44: $i,SV40: $i] :
      ( ( ( iext @ uri_rdfs_subClassOf @ SV40 @ SV44 )
        = $false )
      | ( ( ic @ SV44 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(284,plain,
    ! [SV32: $i,SV34: $i] :
      ( ( ( ic @ SV34 )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( icext @ SV32 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[274]) ).

thf(285,plain,
    ! [SV32: $i,SV34: $i] :
      ( ( ( ic @ SV34 )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( icext @ SV34 @ ( sK1_X @ SV34 @ SV32 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV32 @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(286,plain,
    ! [SV38: $i,SV45: $i,SV36: $i] :
      ( ( ( icext @ SV36 @ SV45 )
        = $false )
      | ( ( ~ ( icext @ SV38 @ SV45 ) )
        = $true )
      | ( ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[276]) ).

thf(287,plain,
    ! [SV48: $i,SV41: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV41 @ SV48 )
        = $false )
      | ( ( ic @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(288,plain,
    ! [SV46: $i,SV42: $i] :
      ( ( ( iext @ uri_owl_disjointWith @ SV42 @ SV46 )
        = $false )
      | ( ( ic @ SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[278]) ).

thf(289,plain,
    ! [SV31: $i,SV33: $i] :
      ( ( ( ic @ SV33 )
        = $false )
      | ( ( ic @ SV31 )
        = $false )
      | ( ( icext @ SV33 @ ( sK2_X @ SV33 @ SV31 ) )
        = $false )
      | ( ( iext @ uri_rdfs_subClassOf @ SV31 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(290,plain,
    ! [SV36: $i,SV45: $i,SV38: $i] :
      ( ( ( icext @ SV38 @ SV45 )
        = $false )
      | ( ( icext @ SV36 @ SV45 )
        = $false )
      | ( ( iext @ uri_owl_disjointWith @ SV36 @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[286]) ).

thf(291,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[165,290,289,288,287,285,284,283,282,281,279,208,203,202,201,200,199,185,167,166]) ).

thf(292,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[291,164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  1 06:13:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 11
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.19/0.50  
% 0.19/0.50  ********************************
% 0.19/0.50  *   All subproblems solved!    *
% 0.19/0.50  ********************************
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:291,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.53  
% 0.19/0.53  %**** Beginning of derivation protocol ****
% 0.19/0.53  % SZS output start CNFRefutation
% See solution above
% 0.36/0.53  
% 0.36/0.53  %**** End of derivation protocol ****
% 0.36/0.53  %**** no. of clauses in derivation: 292 ****
% 0.36/0.53  %**** clause counter: 291 ****
% 0.36/0.53  
% 0.36/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:291,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------