TSTP Solution File: SWB030+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB030+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 : n018.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 19:13:35 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  126 (  70 unt;  14 typ;   0 def)
%            Number of atoms       :  714 ( 167 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 1517 ( 301   ~; 226   |;  32   &; 948   @)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :  281 (   0   ^ 279   !;   2   ?; 281   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_dat_str_true,type,
    dat_str_true: $i ).

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

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

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

thf(tp_literal_typed,type,
    literal_typed: $i > $i > $i ).

thf(tp_sK1_BNODE_x,type,
    sK1_BNODE_x: $i ).

thf(tp_uri_ex_c,type,
    uri_ex_c: $i ).

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

thf(tp_uri_owl_Restriction,type,
    uri_owl_Restriction: $i ).

thf(tp_uri_owl_complementOf,type,
    uri_owl_complementOf: $i ).

thf(tp_uri_owl_hasSelf,type,
    uri_owl_hasSelf: $i ).

thf(tp_uri_owl_onProperty,type,
    uri_owl_onProperty: $i ).

thf(tp_uri_rdf_type,type,
    uri_rdf_type: $i ).

thf(tp_uri_xsd_boolean,type,
    uri_xsd_boolean: $i ).

thf(1,axiom,
    ? [BNODE_x: $i] :
      ( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
      & ( iext @ uri_owl_complementOf @ uri_ex_c @ BNODE_x )
      & ( iext @ uri_rdf_type @ BNODE_x @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ BNODE_x @ uri_rdf_type )
      & ( iext @ uri_owl_hasSelf @ BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

thf(2,axiom,
    ! [Z: $i,C: $i] :
      ( ( iext @ uri_owl_complementOf @ Z @ C )
     => ( ( ic @ Z )
        & ( ic @ C )
        & ! [X: $i] :
            ( ( icext @ Z @ X )
          <=> ~ ( icext @ C @ X ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

thf(3,axiom,
    ! [Z: $i,P: $i,V: $i] :
      ( ( ( iext @ uri_owl_hasSelf @ Z @ V )
        & ( iext @ uri_owl_onProperty @ Z @ P ) )
     => ! [X: $i] :
          ( ( icext @ Z @ X )
        <=> ( iext @ P @ X @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).

thf(4,axiom,
    ! [X: $i,C: $i] :
      ( ( iext @ uri_rdf_type @ X @ C )
    <=> ( icext @ C @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

thf(5,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(6,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[5]) ).

thf(7,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ? [BNODE_x: $i] :
          ( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
          & ( iext @ uri_owl_complementOf @ uri_ex_c @ BNODE_x )
          & ( iext @ uri_rdf_type @ BNODE_x @ uri_owl_Restriction )
          & ( iext @ uri_owl_onProperty @ BNODE_x @ uri_rdf_type )
          & ( iext @ uri_owl_hasSelf @ BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(9,plain,
    ( ( ! [Z: $i,C: $i] :
          ( ( iext @ uri_owl_complementOf @ Z @ C )
         => ( ( ic @ Z )
            & ( ic @ C )
            & ! [X: $i] :
                ( ( icext @ Z @ X )
              <=> ~ ( icext @ C @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(10,plain,
    ( ( ! [Z: $i,P: $i,V: $i] :
          ( ( ( iext @ uri_owl_hasSelf @ Z @ V )
            & ( iext @ uri_owl_onProperty @ Z @ P ) )
         => ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( iext @ P @ X @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(11,plain,
    ( ( ! [X: $i,C: $i] :
          ( ( iext @ uri_rdf_type @ X @ C )
        <=> ( icext @ C @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(12,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(13,plain,
    ( ( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
      & ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x )
      & ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type )
      & ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(14,plain,
    ( ( ! [Z: $i,C: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ! [X: $i] :
                ( ~ ( icext @ Z @ X )
                | ~ ( icext @ C @ X ) )
            & ! [X: $i] :
                ( ( icext @ C @ X )
                | ( icext @ Z @ X ) ) ) )
      & ! [Z: $i] :
          ( ! [C: $i] :
              ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ic @ Z ) )
      & ! [Z: $i,C: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ic @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(15,plain,
    ( ( ! [Z: $i,P: $i] :
          ( ! [V: $i] :
              ~ ( iext @ uri_owl_hasSelf @ Z @ V )
          | ~ ( iext @ uri_owl_onProperty @ Z @ P )
          | ( ! [X: $i] :
                ( ~ ( icext @ Z @ X )
                | ( iext @ P @ X @ X ) )
            & ! [X: $i] :
                ( ~ ( iext @ P @ X @ X )
                | ( icext @ Z @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(16,plain,
    ( ( ! [X: $i,C: $i] :
          ( ~ ( icext @ C @ X )
          | ( iext @ uri_rdf_type @ X @ C ) )
      & ! [X: $i,C: $i] :
          ( ~ ( iext @ uri_rdf_type @ X @ C )
          | ( icext @ C @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(17,plain,
    ( ( ! [X: $i,C: $i] :
          ( ~ ( icext @ C @ X )
          | ( iext @ uri_rdf_type @ X @ C ) )
      & ! [X: $i,C: $i] :
          ( ~ ( iext @ uri_rdf_type @ X @ C )
          | ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(18,plain,
    ( ( ! [Z: $i,P: $i] :
          ( ! [V: $i] :
              ~ ( iext @ uri_owl_hasSelf @ Z @ V )
          | ~ ( iext @ uri_owl_onProperty @ Z @ P )
          | ( ! [X: $i] :
                ( ~ ( icext @ Z @ X )
                | ( iext @ P @ X @ X ) )
            & ! [X: $i] :
                ( ~ ( iext @ P @ X @ X )
                | ( icext @ Z @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(19,plain,
    ( ( ! [Z: $i,C: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ! [X: $i] :
                ( ~ ( icext @ Z @ X )
                | ~ ( icext @ C @ X ) )
            & ! [X: $i] :
                ( ( icext @ C @ X )
                | ( icext @ Z @ X ) ) ) )
      & ! [Z: $i] :
          ( ! [C: $i] :
              ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ic @ Z ) )
      & ! [Z: $i,C: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ Z @ C )
          | ( ic @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(20,plain,
    ( ( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
      & ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x )
      & ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type )
      & ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(21,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(22,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                            | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
                      | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
                | ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) )
          | ~ ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(23,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( icext @ SX1 @ SX0 )
                | ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
                | ( icext @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(24,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                | ~ ( ~ ! [SX2: $i] :
                          ( ~ ( icext @ SX0 @ SX2 )
                          | ~ ( icext @ SX1 @ SX2 ) )
                    | ~ ! [SX2: $i] :
                          ( ( icext @ SX1 @ SX2 )
                          | ( icext @ SX0 @ SX2 ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                      | ( ic @ SX0 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                      | ( ic @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(25,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i] :
              ~ ( iext @ uri_owl_hasSelf @ SX0 @ SX2 )
          | ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( icext @ SX0 @ SX2 )
                    | ( iext @ SX1 @ SX2 @ SX2 ) )
              | ~ ! [SX2: $i] :
                    ( ~ ( iext @ SX1 @ SX2 @ SX2 )
                    | ( icext @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(26,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(27,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
                  | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) )
      | ~ ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(28,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(29,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) )
                | ~ ! [SX2: $i] :
                      ( ( icext @ SX1 @ SX2 )
                      | ( icext @ SX0 @ SX2 ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(30,plain,
    ! [SV1: $i] :
      ( ( ! [SY10: $i] :
            ( ! [SY11: $i] :
                ~ ( iext @ uri_owl_hasSelf @ SV1 @ SY11 )
            | ~ ( iext @ uri_owl_onProperty @ SV1 @ SY10 )
            | ~ ( ~ ! [SY12: $i] :
                      ( ~ ( icext @ SV1 @ SY12 )
                      | ( iext @ SY10 @ SY12 @ SY12 ) )
                | ~ ! [SY13: $i] :
                      ( ~ ( iext @ SY10 @ SY13 @ SY13 )
                      | ( icext @ SV1 @ SY13 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(31,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
                  | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ~ ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(33,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(34,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(35,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( icext @ SX0 @ SX2 )
                      | ~ ( icext @ SX1 @ SX2 ) )
                | ~ ! [SX2: $i] :
                      ( ( icext @ SX1 @ SX2 )
                      | ( icext @ SX0 @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(36,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                  | ( ic @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                  | ( ic @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(37,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ! [SY11: $i] :
            ~ ( iext @ uri_owl_hasSelf @ SV1 @ SY11 )
        | ~ ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        | ~ ( ~ ! [SY15: $i] :
                  ( ~ ( icext @ SV1 @ SY15 )
                  | ( iext @ SV2 @ SY15 @ SY15 ) )
            | ~ ! [SY16: $i] :
                  ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                  | ( icext @ SV1 @ SY16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(38,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                      | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
                | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
          | ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(39,plain,
    ( ( iext @ uri_owl_hasSelf @ sK1_BNODE_x @ ( literal_typed @ dat_str_true @ uri_xsd_boolean ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(40,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(41,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(42,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( icext @ SX0 @ SX2 )
                    | ~ ( icext @ SX1 @ SX2 ) )
              | ~ ! [SX2: $i] :
                    ( ( icext @ SX1 @ SX2 )
                    | ( icext @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(43,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                | ( ic @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
                | ( ic @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(44,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ( ! [SY11: $i] :
              ~ ( iext @ uri_owl_hasSelf @ SV1 @ SY11 )
          | ~ ( iext @ uri_owl_onProperty @ SV1 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY15: $i] :
                    ( ~ ( icext @ SV1 @ SY15 )
                    | ( iext @ SV2 @ SY15 @ SY15 ) )
              | ~ ! [SY16: $i] :
                    ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                    | ( icext @ SV1 @ SY16 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(45,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
            | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
      | ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(46,plain,
    ! [SV3: $i] :
      ( ( ! [SY17: $i] :
            ( ~ ( icext @ SY17 @ SV3 )
            | ( iext @ uri_rdf_type @ SV3 @ SY17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV4: $i] :
      ( ( ! [SY18: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV4 @ SY18 )
            | ( icext @ SY18 @ SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(48,plain,
    ! [SV5: $i] :
      ( ( ! [SY19: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SV5 @ SY19 )
            | ~ ( ~ ! [SY20: $i] :
                      ( ~ ( icext @ SV5 @ SY20 )
                      | ~ ( icext @ SY19 @ SY20 ) )
                | ~ ! [SY21: $i] :
                      ( ( icext @ SY19 @ SY21 )
                      | ( icext @ SV5 @ SY21 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(49,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(50,plain,
    ! [SV2: $i,SV1: $i] :
      ( ( ( ! [SY11: $i] :
              ~ ( iext @ uri_owl_hasSelf @ SV1 @ SY11 ) )
        = $true )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV1 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY15: $i] :
                    ( ~ ( icext @ SV1 @ SY15 )
                    | ( iext @ SV2 @ SY15 @ SY15 ) )
              | ~ ! [SY16: $i] :
                    ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                    | ( icext @ SV1 @ SY16 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(51,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
            | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(52,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV3: $i,SV6: $i] :
      ( ( ~ ( icext @ SV6 @ SV3 )
        | ( iext @ uri_rdf_type @ SV3 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(54,plain,
    ! [SV7: $i,SV4: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV4 @ SV7 )
        | ( icext @ SV7 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(55,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ~ ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        | ~ ( ~ ! [SY22: $i] :
                  ( ~ ( icext @ SV5 @ SY22 )
                  | ~ ( icext @ SV8 @ SY22 ) )
            | ~ ! [SY23: $i] :
                  ( ( icext @ SV8 @ SY23 )
                  | ( icext @ SV5 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(56,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ( ic @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(57,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
            | ( ic @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(58,plain,
    ! [SV2: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( iext @ uri_owl_hasSelf @ SV1 @ SV9 ) )
        = $true )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV1 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY15: $i] :
                    ( ~ ( icext @ SV1 @ SY15 )
                    | ( iext @ SV2 @ SY15 @ SY15 ) )
              | ~ ! [SY16: $i] :
                    ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                    | ( icext @ SV1 @ SY16 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(59,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
                | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
          | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[51]) ).

thf(60,plain,
    ( ( iext @ uri_owl_onProperty @ sK1_BNODE_x @ uri_rdf_type )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(61,plain,
    ! [SV3: $i,SV6: $i] :
      ( ( ( ~ ( icext @ SV6 @ SV3 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(62,plain,
    ! [SV7: $i,SV4: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV4 @ SV7 ) )
        = $true )
      | ( ( icext @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(63,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( ~ ( iext @ uri_owl_complementOf @ SV5 @ SV8 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY22: $i] :
                    ( ~ ( icext @ SV5 @ SY22 )
                    | ~ ( icext @ SV8 @ SY22 ) )
              | ~ ! [SY23: $i] :
                    ( ( icext @ SV8 @ SY23 )
                    | ( icext @ SV5 @ SY23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(64,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
          | ( ic @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(65,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_complementOf @ SX0 @ SX1 )
          | ( ic @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(66,plain,
    ! [SV2: $i,SV9: $i,SV1: $i] :
      ( ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV1 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY15: $i] :
                    ( ~ ( icext @ SV1 @ SY15 )
                    | ( iext @ SV2 @ SY15 @ SY15 ) )
              | ~ ! [SY16: $i] :
                    ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                    | ( icext @ SV1 @ SY16 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(67,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
            | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
      | ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(68,plain,
    ! [SV3: $i,SV6: $i] :
      ( ( ( icext @ SV6 @ SV3 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV3 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(69,plain,
    ! [SV7: $i,SV4: $i] :
      ( ( ( iext @ uri_rdf_type @ SV4 @ SV7 )
        = $false )
      | ( ( icext @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(70,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false )
      | ( ( ~ ( ~ ! [SY22: $i] :
                    ( ~ ( icext @ SV5 @ SY22 )
                    | ~ ( icext @ SV8 @ SY22 ) )
              | ~ ! [SY23: $i] :
                    ( ( icext @ SV8 @ SY23 )
                    | ( icext @ SV5 @ SY23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(71,plain,
    ! [SV10: $i] :
      ( ( ! [SY24: $i] :
            ~ ( iext @ uri_owl_complementOf @ SV10 @ SY24 )
        | ( ic @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(72,plain,
    ! [SV11: $i] :
      ( ( ! [SY25: $i] :
            ( ~ ( iext @ uri_owl_complementOf @ SV11 @ SY25 )
            | ( ic @ SY25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(73,plain,
    ! [SV9: $i,SV2: $i,SV1: $i] :
      ( ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( ~ ( ~ ! [SY15: $i] :
                    ( ~ ( icext @ SV1 @ SY15 )
                    | ( iext @ SV2 @ SY15 @ SY15 ) )
              | ~ ! [SY16: $i] :
                    ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                    | ( icext @ SV1 @ SY16 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(74,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
            | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(75,plain,
    ( ( ~ ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(76,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( ~ ! [SY22: $i] :
                ( ~ ( icext @ SV5 @ SY22 )
                | ~ ( icext @ SV8 @ SY22 ) )
          | ~ ! [SY23: $i] :
                ( ( icext @ SV8 @ SY23 )
                | ( icext @ SV5 @ SY23 ) ) )
        = $false )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(77,plain,
    ! [SV10: $i] :
      ( ( ( ! [SY24: $i] :
              ~ ( iext @ uri_owl_complementOf @ SV10 @ SY24 ) )
        = $true )
      | ( ( ic @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[71]) ).

thf(78,plain,
    ! [SV12: $i,SV11: $i] :
      ( ( ~ ( iext @ uri_owl_complementOf @ SV11 @ SV12 )
        | ( ic @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[72]) ).

thf(79,plain,
    ! [SV9: $i,SV2: $i,SV1: $i] :
      ( ( ( ~ ! [SY15: $i] :
                ( ~ ( icext @ SV1 @ SY15 )
                | ( iext @ SV2 @ SY15 @ SY15 ) )
          | ~ ! [SY16: $i] :
                ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                | ( icext @ SV1 @ SY16 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(80,plain,
    ( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
          | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[74]) ).

thf(81,plain,
    ( ( iext @ uri_rdf_type @ sK1_BNODE_x @ uri_owl_Restriction )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[75]) ).

thf(82,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( ~ ! [SY22: $i] :
                ( ~ ( icext @ SV5 @ SY22 )
                | ~ ( icext @ SV8 @ SY22 ) ) )
        = $false )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(83,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ! [SY23: $i] :
                ( ( icext @ SV8 @ SY23 )
                | ( icext @ SV5 @ SY23 ) ) )
        = $false )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(84,plain,
    ! [SV13: $i,SV10: $i] :
      ( ( ( ~ ( iext @ uri_owl_complementOf @ SV10 @ SV13 ) )
        = $true )
      | ( ( ic @ SV10 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(85,plain,
    ! [SV12: $i,SV11: $i] :
      ( ( ( ~ ( iext @ uri_owl_complementOf @ SV11 @ SV12 ) )
        = $true )
      | ( ( ic @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(86,plain,
    ! [SV9: $i,SV2: $i,SV1: $i] :
      ( ( ( ~ ! [SY15: $i] :
                ( ~ ( icext @ SV1 @ SY15 )
                | ( iext @ SV2 @ SY15 @ SY15 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[79]) ).

thf(87,plain,
    ! [SV9: $i,SV1: $i,SV2: $i] :
      ( ( ( ~ ! [SY16: $i] :
                ( ~ ( iext @ SV2 @ SY16 @ SY16 )
                | ( icext @ SV1 @ SY16 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[79]) ).

thf(88,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
      | ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(89,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( ! [SY22: $i] :
              ( ~ ( icext @ SV5 @ SY22 )
              | ~ ( icext @ SV8 @ SY22 ) ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(90,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ! [SY23: $i] :
              ( ( icext @ SV8 @ SY23 )
              | ( icext @ SV5 @ SY23 ) ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(91,plain,
    ! [SV13: $i,SV10: $i] :
      ( ( ( iext @ uri_owl_complementOf @ SV10 @ SV13 )
        = $false )
      | ( ( ic @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(92,plain,
    ! [SV12: $i,SV11: $i] :
      ( ( ( iext @ uri_owl_complementOf @ SV11 @ SV12 )
        = $false )
      | ( ( ic @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(93,plain,
    ! [SV9: $i,SV2: $i,SV1: $i] :
      ( ( ( ! [SY15: $i] :
              ( ~ ( icext @ SV1 @ SY15 )
              | ( iext @ SV2 @ SY15 @ SY15 ) ) )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[86]) ).

thf(94,plain,
    ! [SV9: $i,SV1: $i,SV2: $i] :
      ( ( ( ! [SY16: $i] :
              ( ~ ( iext @ SV2 @ SY16 @ SY16 )
              | ( icext @ SV1 @ SY16 ) ) )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[87]) ).

thf(95,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[88]) ).

thf(96,plain,
    ( ( ~ ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[88]) ).

thf(97,plain,
    ! [SV8: $i,SV14: $i,SV5: $i] :
      ( ( ( ~ ( icext @ SV5 @ SV14 )
          | ~ ( icext @ SV8 @ SV14 ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(98,plain,
    ! [SV5: $i,SV15: $i,SV8: $i] :
      ( ( ( ( icext @ SV8 @ SV15 )
          | ( icext @ SV5 @ SV15 ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(99,plain,
    ! [SV9: $i,SV2: $i,SV16: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ SV16 )
          | ( iext @ SV2 @ SV16 @ SV16 ) )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(100,plain,
    ! [SV9: $i,SV1: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( iext @ SV2 @ SV17 @ SV17 )
          | ( icext @ SV1 @ SV17 ) )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(101,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_c @ uri_owl_Class )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(102,plain,
    ( ( iext @ uri_owl_complementOf @ uri_ex_c @ sK1_BNODE_x )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[96]) ).

thf(103,plain,
    ! [SV8: $i,SV14: $i,SV5: $i] :
      ( ( ( ~ ( icext @ SV5 @ SV14 ) )
        = $true )
      | ( ( ~ ( icext @ SV8 @ SV14 ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[97]) ).

thf(104,plain,
    ! [SV5: $i,SV15: $i,SV8: $i] :
      ( ( ( icext @ SV8 @ SV15 )
        = $true )
      | ( ( icext @ SV5 @ SV15 )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(105,plain,
    ! [SV9: $i,SV2: $i,SV16: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ SV16 ) )
        = $true )
      | ( ( iext @ SV2 @ SV16 @ SV16 )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(106,plain,
    ! [SV9: $i,SV1: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( iext @ SV2 @ SV17 @ SV17 ) )
        = $true )
      | ( ( icext @ SV1 @ SV17 )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(107,plain,
    ! [SV8: $i,SV14: $i,SV5: $i] :
      ( ( ( icext @ SV5 @ SV14 )
        = $false )
      | ( ( ~ ( icext @ SV8 @ SV14 ) )
        = $true )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(108,plain,
    ! [SV9: $i,SV2: $i,SV16: $i,SV1: $i] :
      ( ( ( icext @ SV1 @ SV16 )
        = $false )
      | ( ( iext @ SV2 @ SV16 @ SV16 )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(109,plain,
    ! [SV9: $i,SV1: $i,SV17: $i,SV2: $i] :
      ( ( ( iext @ SV2 @ SV17 @ SV17 )
        = $false )
      | ( ( icext @ SV1 @ SV17 )
        = $true )
      | ( ( iext @ uri_owl_hasSelf @ SV1 @ SV9 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV1 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(110,plain,
    ! [SV5: $i,SV14: $i,SV8: $i] :
      ( ( ( icext @ SV8 @ SV14 )
        = $false )
      | ( ( icext @ SV5 @ SV14 )
        = $false )
      | ( ( iext @ uri_owl_complementOf @ SV5 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(111,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[26,110,109,108,104,102,101,92,91,81,69,68,60,39]) ).

thf(112,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 04:45:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 4
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.19/0.41  
% 0.19/0.41  ********************************
% 0.19/0.41  *   All subproblems solved!    *
% 0.19/0.41  ********************************
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42  
% 0.19/0.42  %**** Beginning of derivation protocol ****
% 0.19/0.42  % SZS output start CNFRefutation
% See solution above
% 0.19/0.42  
% 0.19/0.42  %**** End of derivation protocol ****
% 0.19/0.42  %**** no. of clauses in derivation: 112 ****
% 0.19/0.42  %**** clause counter: 111 ****
% 0.19/0.42  
% 0.19/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:111,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------