↑ Up

LEO-II---2.3.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:50:40 AM UTC 2026

% Result   : Theorem 3.78s 0.98s
% Output   : CNFRefutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   77
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  558 ( 224 unt;   0 typ;   0 def)
%            Number of atoms       : 12827 (3085 equ;   0 cnn)
%            Maximal formula atoms :   15 (  22 avg)
%            Number of connectives : 34021 (9400   ~;5968   |; 103   &;18522   @)
%                                         (  16 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  31 usr;  27 con; 0-7 aty)
%            Number of variables   : 2714 (   0   ^;2698   !;  16   ?;2714   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_dat_str_alice,type,
    dat_str_alice: $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_plain,type,
    literal_plain: $i > $i ).

thf(tp_sK10_SY128,type,
    sK10_SY128: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK1_SX0,type,
    sK1_SX0: $i ).

thf(tp_sK2_SY48,type,
    sK2_SY48: $i ).

thf(tp_sK3_SY68,type,
    sK3_SY68: $i ).

thf(tp_sK4_SY75,type,
    sK4_SY75: $i ).

thf(tp_sK5_SY74,type,
    sK5_SY74: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK6_SX0,type,
    sK6_SX0: $i ).

thf(tp_sK7_SY100,type,
    sK7_SY100: $i ).

thf(tp_sK8_SY122,type,
    sK8_SY122: $i ).

thf(tp_sK9_SY129,type,
    sK9_SY129: $i ).

thf(tp_uri_ex_PersonAttribute,type,
    uri_ex_PersonAttribute: $i ).

thf(tp_uri_ex_alice,type,
    uri_ex_alice: $i ).

thf(tp_uri_ex_name,type,
    uri_ex_name: $i ).

thf(tp_uri_foaf_Person,type,
    uri_foaf_Person: $i ).

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

thf(tp_uri_owl_DatatypeProperty,type,
    uri_owl_DatatypeProperty: $i ).

thf(tp_uri_owl_FunctionalProperty,type,
    uri_owl_FunctionalProperty: $i ).

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

thf(tp_uri_owl_hasValue,type,
    uri_owl_hasValue: $i ).

thf(tp_uri_owl_intersectionOf,type,
    uri_owl_intersectionOf: $i ).

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

thf(tp_uri_rdf_first,type,
    uri_rdf_first: $i ).

thf(tp_uri_rdf_nil,type,
    uri_rdf_nil: $i ).

thf(tp_uri_rdf_rest,type,
    uri_rdf_rest: $i ).

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

thf(tp_uri_rdfs_domain,type,
    uri_rdfs_domain: $i ).

thf(1,axiom,
    ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
      ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
      & ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
      & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
      & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
      & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
      & ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
      & ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
      & ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
      & ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
      & ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
      & ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
      & ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).

thf(2,axiom,
    ! [Z: $i,P: $i,A: $i] :
      ( ( ( iext @ uri_owl_hasValue @ Z @ A )
        & ( iext @ uri_owl_onProperty @ Z @ P ) )
     => ! [X: $i] :
          ( ( icext @ Z @ X )
        <=> ( iext @ P @ X @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).

thf(3,axiom,
    ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ C1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ C2 )
        & ( iext @ uri_rdf_rest @ S2 @ S3 )
        & ( iext @ uri_rdf_first @ S3 @ C3 )
        & ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
      <=> ( ( ic @ Z )
          & ( ic @ C1 )
          & ( ic @ C2 )
          & ( ic @ C3 )
          & ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( ( icext @ C1 @ X )
                & ( icext @ C2 @ X )
                & ( icext @ C3 @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).

thf(4,axiom,
    ! [P: $i,C: $i,X: $i,Y: $i] :
      ( ( ( iext @ uri_rdfs_domain @ P @ C )
        & ( iext @ P @ X @ Y ) )
     => ( icext @ C @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

thf(5,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(6,conjecture,
    ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
    & ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).

thf(7,negated_conjecture,
    ( ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
      & ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[6]) ).

thf(8,plain,
    ( ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
      & ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
    = $false ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
          ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
          & ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
          & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
          & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
          & ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
          & ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
          & ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
          & ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
          & ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
          & ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
          & ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(10,plain,
    ( ( ! [Z: $i,P: $i,A: $i] :
          ( ( ( iext @ uri_owl_hasValue @ Z @ A )
            & ( iext @ uri_owl_onProperty @ Z @ P ) )
         => ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( iext @ P @ X @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(11,plain,
    ( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
          ( ( ( iext @ uri_rdf_first @ S1 @ C1 )
            & ( iext @ uri_rdf_rest @ S1 @ S2 )
            & ( iext @ uri_rdf_first @ S2 @ C2 )
            & ( iext @ uri_rdf_rest @ S2 @ S3 )
            & ( iext @ uri_rdf_first @ S3 @ C3 )
            & ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
         => ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
          <=> ( ( ic @ Z )
              & ( ic @ C1 )
              & ( ic @ C2 )
              & ( ic @ C3 )
              & ! [X: $i] :
                  ( ( icext @ Z @ X )
                <=> ( ( icext @ C1 @ X )
                    & ( icext @ C2 @ X )
                    & ( icext @ C3 @ X ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(12,plain,
    ( ( ! [P: $i,C: $i,X: $i,Y: $i] :
          ( ( ( iext @ uri_rdfs_domain @ P @ C )
            & ( iext @ P @ X @ Y ) )
         => ( icext @ C @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(13,plain,
    ( ( ! [X: $i,C: $i] :
          ( ( iext @ uri_rdf_type @ X @ C )
        <=> ( icext @ C @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(14,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[8]) ).

thf(15,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[8]) ).

thf(16,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[15]) ).

thf(18,plain,
    ( ( ! [X: $i,C: $i] :
          ( ( iext @ uri_rdf_type @ X @ C )
        <=> ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(19,plain,
    ( ( ! [P: $i,C: $i,X: $i,Y: $i] :
          ( ( ( iext @ uri_rdfs_domain @ P @ C )
            & ( iext @ P @ X @ Y ) )
         => ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(20,plain,
    ( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
          ( ( ( iext @ uri_rdf_first @ S1 @ C1 )
            & ( iext @ uri_rdf_rest @ S1 @ S2 )
            & ( iext @ uri_rdf_first @ S2 @ C2 )
            & ( iext @ uri_rdf_rest @ S2 @ S3 )
            & ( iext @ uri_rdf_first @ S3 @ C3 )
            & ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
         => ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
          <=> ( ( ic @ Z )
              & ( ic @ C1 )
              & ( ic @ C2 )
              & ( ic @ C3 )
              & ! [X: $i] :
                  ( ( icext @ Z @ X )
                <=> ( ( icext @ C1 @ X )
                    & ( icext @ C2 @ X )
                    & ( icext @ C3 @ X ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(21,plain,
    ( ( ! [Z: $i,P: $i,A: $i] :
          ( ( ( iext @ uri_owl_hasValue @ Z @ A )
            & ( iext @ uri_owl_onProperty @ Z @ P ) )
         => ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( iext @ P @ X @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(22,plain,
    ( ( ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
          ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
          & ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
          & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
          & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
          & ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
          & ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
          & ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
          & ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
          & ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
          & ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
          & ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(23,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(24,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
                                        | ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
                                  | ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
                            | ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 ) )
                      | ~ ( iext @ uri_rdf_first @ SX5 @ SX6 ) )
                | ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
          | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
                                        | ~ ( ic @ SX2 ) )
                                  | ~ ( ic @ SX4 ) )
                            | ~ ( ic @ SX6 ) )
                      | ~ ! [SX7: $i] :
                            ~ ( ~ ( ~ ( icext @ SX0 @ SX7 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                            | ~ ( icext @ SX4 @ SX7 ) )
                                      | ~ ( icext @ SX6 @ SX7 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                              | ~ ( icext @ SX4 @ SX7 ) )
                                        | ~ ( icext @ SX6 @ SX7 ) )
                                  | ( icext @ SX0 @ SX7 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
                                          | ~ ( ic @ SX2 ) )
                                    | ~ ( ic @ SX4 ) )
                              | ~ ( ic @ SX6 ) )
                        | ~ ! [SX7: $i] :
                              ~ ( ~ ( ~ ( icext @ SX0 @ SX7 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                              | ~ ( icext @ SX4 @ SX7 ) )
                                        | ~ ( icext @ SX6 @ SX7 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                                | ~ ( icext @ SX4 @ SX7 ) )
                                          | ~ ( icext @ SX6 @ SX7 ) )
                                    | ( icext @ SX0 @ SX7 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(25,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SX0 @ SX2 )
                | ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 ) )
          | ! [SX3: $i] :
              ~ ( ~ ( ~ ( icext @ SX0 @ SX3 )
                    | ( iext @ SX1 @ SX3 @ SX2 ) )
                | ~ ( ~ ( iext @ SX1 @ SX3 @ SX2 )
                    | ( icext @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(26,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SX0 @ SX1 )
                | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
          | ( icext @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(27,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
                | ( icext @ SX1 @ SX0 ) )
            | ~ ( ~ ( icext @ SX1 @ SX0 )
                | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(28,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ! [SX2: $i] :
                        ~ ~ ! [SX3: $i] :
                              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ SX0 ) )
                                                                                              | ~ ( iext @ uri_rdf_first @ SX0 @ uri_owl_DatatypeProperty ) )
                                                                                        | ~ ( iext @ uri_rdf_rest @ SX0 @ SX1 ) )
                                                                                  | ~ ( iext @ uri_rdf_first @ SX1 @ uri_owl_FunctionalProperty ) )
                                                                            | ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
                                                                | ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
                                                          | ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_Restriction ) )
                                                    | ~ ( iext @ uri_owl_onProperty @ SX3 @ uri_rdfs_domain ) )
                                              | ~ ( iext @ uri_owl_hasValue @ SX3 @ uri_foaf_Person ) )
                                        | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                                  | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(29,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_owl_FunctionalProperty )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(30,plain,
    ! [SV1: $i] :
      ( ( ! [SY22: $i,SY23: $i,SY24: $i,SY25: $i,SY26: $i,SY27: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY22 @ SY23 )
                                          | ~ ( iext @ uri_rdf_rest @ SY22 @ SY24 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY24 @ SY25 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY24 @ SY26 ) )
                        | ~ ( iext @ uri_rdf_first @ SY26 @ SY27 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY26 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SY22 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SY23 ) )
                                    | ~ ( ic @ SY25 ) )
                              | ~ ( ic @ SY27 ) )
                        | ~ ! [SY28: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY28 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SY23 @ SY28 )
                                              | ~ ( icext @ SY25 @ SY28 ) )
                                        | ~ ( icext @ SY27 @ SY28 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY23 @ SY28 )
                                                | ~ ( icext @ SY25 @ SY28 ) )
                                          | ~ ( icext @ SY27 @ SY28 ) )
                                    | ( icext @ SV1 @ SY28 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SY23 ) )
                                      | ~ ( ic @ SY25 ) )
                                | ~ ( ic @ SY27 ) )
                          | ~ ! [SY29: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY29 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SY23 @ SY29 )
                                                | ~ ( icext @ SY25 @ SY29 ) )
                                          | ~ ( icext @ SY27 @ SY29 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY23 @ SY29 )
                                                  | ~ ( icext @ SY25 @ SY29 ) )
                                            | ~ ( icext @ SY27 @ SY29 ) )
                                      | ( icext @ SV1 @ SY29 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SY22 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(31,plain,
    ! [SV2: $i] :
      ( ( ! [SY30: $i,SY31: $i] :
            ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SY31 )
                  | ~ ( iext @ uri_owl_onProperty @ SV2 @ SY30 ) )
            | ! [SY32: $i] :
                ~ ( ~ ( ~ ( icext @ SV2 @ SY32 )
                      | ( iext @ SY30 @ SY32 @ SY31 ) )
                  | ~ ( ~ ( iext @ SY30 @ SY32 @ SY31 )
                      | ( icext @ SV2 @ SY32 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(32,plain,
    ! [SV3: $i] :
      ( ( ! [SY33: $i,SY34: $i,SY35: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SY33 )
                  | ~ ( iext @ SV3 @ SY34 @ SY35 ) )
            | ( icext @ SY33 @ SY34 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(33,plain,
    ! [SV4: $i] :
      ( ( ! [SY36: $i] :
            ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV4 @ SY36 )
                  | ( icext @ SY36 @ SV4 ) )
              | ~ ( ~ ( icext @ SY36 @ SV4 )
                  | ( iext @ uri_rdf_type @ SV4 @ SY36 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(34,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ~ ! [SX2: $i] :
                      ~ ~ ! [SX3: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ SX0 ) )
                                                                                            | ~ ( iext @ uri_rdf_first @ SX0 @ uri_owl_DatatypeProperty ) )
                                                                                      | ~ ( iext @ uri_rdf_rest @ SX0 @ SX1 ) )
                                                                                | ~ ( iext @ uri_rdf_first @ SX1 @ uri_owl_FunctionalProperty ) )
                                                                          | ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
                                                                    | ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
                                                              | ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
                                                        | ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_Restriction ) )
                                                  | ~ ( iext @ uri_owl_onProperty @ SX3 @ uri_rdfs_domain ) )
                                            | ~ ( iext @ uri_owl_hasValue @ SX3 @ uri_foaf_Person ) )
                                      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                                | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[28]) ).

thf(35,plain,
    ! [SV1: $i,SV5: $i] :
      ( ( ! [SY37: $i,SY38: $i,SY39: $i,SY40: $i,SY41: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SY37 )
                                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SY38 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY38 @ SY39 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY38 @ SY40 ) )
                        | ~ ( iext @ uri_rdf_first @ SY40 @ SY41 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY40 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SY37 ) )
                                    | ~ ( ic @ SY39 ) )
                              | ~ ( ic @ SY41 ) )
                        | ~ ! [SY28: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY28 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SY37 @ SY28 )
                                              | ~ ( icext @ SY39 @ SY28 ) )
                                        | ~ ( icext @ SY41 @ SY28 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY37 @ SY28 )
                                                | ~ ( icext @ SY39 @ SY28 ) )
                                          | ~ ( icext @ SY41 @ SY28 ) )
                                    | ( icext @ SV1 @ SY28 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SY37 ) )
                                      | ~ ( ic @ SY39 ) )
                                | ~ ( ic @ SY41 ) )
                          | ~ ! [SY29: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY29 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SY37 @ SY29 )
                                                | ~ ( icext @ SY39 @ SY29 ) )
                                          | ~ ( icext @ SY41 @ SY29 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY37 @ SY29 )
                                                  | ~ ( icext @ SY39 @ SY29 ) )
                                            | ~ ( icext @ SY41 @ SY29 ) )
                                      | ( icext @ SV1 @ SY29 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(36,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ! [SY44: $i] :
            ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SY44 )
                  | ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) )
            | ! [SY45: $i] :
                ~ ( ~ ( ~ ( icext @ SV2 @ SY45 )
                      | ( iext @ SV6 @ SY45 @ SY44 ) )
                  | ~ ( ~ ( iext @ SV6 @ SY45 @ SY44 )
                      | ( icext @ SV2 @ SY45 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(37,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ! [SY46: $i,SY47: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
                  | ~ ( iext @ SV3 @ SY46 @ SY47 ) )
            | ( icext @ SV7 @ SY46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(38,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV4 @ SV8 )
                | ( icext @ SV8 @ SV4 ) )
            | ~ ( ~ ( icext @ SV8 @ SV4 )
                | ( iext @ uri_rdf_type @ SV4 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[33]) ).

thf(39,plain,
    ( ( ~ ~ ! [SY48: $i] :
              ~ ~ ! [SY49: $i] :
                    ~ ~ ! [SY50: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                    | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ SY48 ) )
                                                                              | ~ ( iext @ uri_rdf_first @ SY48 @ uri_owl_FunctionalProperty ) )
                                                                        | ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ SY49 @ SY50 ) )
                                                            | ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil ) )
                                                      | ~ ( iext @ uri_rdf_type @ SY50 @ uri_owl_Restriction ) )
                                                | ~ ( iext @ uri_owl_onProperty @ SY50 @ uri_rdfs_domain ) )
                                          | ~ ( iext @ uri_owl_hasValue @ SY50 @ uri_foaf_Person ) )
                                    | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                              | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[34]) ).

thf(40,plain,
    ! [SV1: $i,SV9: $i,SV5: $i] :
      ( ( ! [SY51: $i,SY52: $i,SY53: $i,SY54: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SY51 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY51 @ SY52 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY51 @ SY53 ) )
                        | ~ ( iext @ uri_rdf_first @ SY53 @ SY54 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY53 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SY52 ) )
                              | ~ ( ic @ SY54 ) )
                        | ~ ! [SY55: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY55 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY55 )
                                              | ~ ( icext @ SY52 @ SY55 ) )
                                        | ~ ( icext @ SY54 @ SY55 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY55 )
                                                | ~ ( icext @ SY52 @ SY55 ) )
                                          | ~ ( icext @ SY54 @ SY55 ) )
                                    | ( icext @ SV1 @ SY55 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SV9 ) )
                                      | ~ ( ic @ SY52 ) )
                                | ~ ( ic @ SY54 ) )
                          | ~ ! [SY56: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY56 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY56 )
                                                | ~ ( icext @ SY52 @ SY56 ) )
                                          | ~ ( icext @ SY54 @ SY56 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY56 )
                                                  | ~ ( icext @ SY52 @ SY56 ) )
                                            | ~ ( icext @ SY54 @ SY56 ) )
                                      | ( icext @ SV1 @ SY56 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(41,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
              | ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) )
        | ! [SY57: $i] :
            ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                  | ( iext @ SV6 @ SY57 @ SV10 ) )
              | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                  | ( icext @ SV2 @ SY57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(42,plain,
    ! [SV11: $i,SV7: $i,SV3: $i] :
      ( ( ! [SY58: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
                  | ~ ( iext @ SV3 @ SV11 @ SY58 ) )
            | ( icext @ SV7 @ SV11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ( ~ ( iext @ uri_rdf_type @ SV4 @ SV8 )
            | ( icext @ SV8 @ SV4 ) )
        | ~ ( ~ ( icext @ SV8 @ SV4 )
            | ( iext @ uri_rdf_type @ SV4 @ SV8 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(44,plain,
    ( ( ~ ! [SY48: $i] :
            ~ ~ ! [SY49: $i] :
                  ~ ~ ! [SY50: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                        | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                  | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ SY48 ) )
                                                                            | ~ ( iext @ uri_rdf_first @ SY48 @ uri_owl_FunctionalProperty ) )
                                                                      | ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
                                                                | ~ ( iext @ uri_rdf_first @ SY49 @ SY50 ) )
                                                          | ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil ) )
                                                    | ~ ( iext @ uri_rdf_type @ SY50 @ uri_owl_Restriction ) )
                                              | ~ ( iext @ uri_owl_onProperty @ SY50 @ uri_rdfs_domain ) )
                                        | ~ ( iext @ uri_owl_hasValue @ SY50 @ uri_foaf_Person ) )
                                  | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                            | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(45,plain,
    ! [SV1: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ! [SY59: $i,SY60: $i,SY61: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV12 @ SY59 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV12 @ SY60 ) )
                        | ~ ( iext @ uri_rdf_first @ SY60 @ SY61 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY60 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SY59 ) )
                              | ~ ( ic @ SY61 ) )
                        | ~ ! [SY55: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY55 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY55 )
                                              | ~ ( icext @ SY59 @ SY55 ) )
                                        | ~ ( icext @ SY61 @ SY55 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY55 )
                                                | ~ ( icext @ SY59 @ SY55 ) )
                                          | ~ ( icext @ SY61 @ SY55 ) )
                                    | ( icext @ SV1 @ SY55 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SV9 ) )
                                      | ~ ( ic @ SY59 ) )
                                | ~ ( ic @ SY61 ) )
                          | ~ ! [SY56: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY56 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY56 )
                                                | ~ ( icext @ SY59 @ SY56 ) )
                                          | ~ ( icext @ SY61 @ SY56 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY56 )
                                                  | ~ ( icext @ SY59 @ SY56 ) )
                                            | ~ ( icext @ SY61 @ SY56 ) )
                                      | ( icext @ SV1 @ SY56 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(46,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
                | ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
              | ~ ( iext @ SV3 @ SV11 @ SV13 ) )
        | ( icext @ SV7 @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ( ~ ( iext @ uri_rdf_type @ SV4 @ SV8 )
            | ( icext @ SV8 @ SV4 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ~ ( ~ ( icext @ SV8 @ SV4 )
            | ( iext @ uri_rdf_type @ SV4 @ SV8 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(50,plain,
    ( ( ! [SY48: $i] :
          ~ ~ ! [SY49: $i] :
                ~ ~ ! [SY50: $i] :
                      ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ SY48 ) )
                                                                          | ~ ( iext @ uri_rdf_first @ SY48 @ uri_owl_FunctionalProperty ) )
                                                                    | ~ ( iext @ uri_rdf_rest @ SY48 @ SY49 ) )
                                                              | ~ ( iext @ uri_rdf_first @ SY49 @ SY50 ) )
                                                        | ~ ( iext @ uri_rdf_rest @ SY49 @ uri_rdf_nil ) )
                                                  | ~ ( iext @ uri_rdf_type @ SY50 @ uri_owl_Restriction ) )
                                            | ~ ( iext @ uri_owl_onProperty @ SY50 @ uri_rdfs_domain ) )
                                      | ~ ( iext @ uri_owl_hasValue @ SY50 @ uri_foaf_Person ) )
                                | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                          | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV1: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ! [SY64: $i,SY65: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV12 @ SY64 ) )
                        | ~ ( iext @ uri_rdf_first @ SY64 @ SY65 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY64 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SY65 ) )
                        | ~ ! [SY66: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY66 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY66 )
                                              | ~ ( icext @ SV14 @ SY66 ) )
                                        | ~ ( icext @ SY65 @ SY66 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY66 )
                                                | ~ ( icext @ SV14 @ SY66 ) )
                                          | ~ ( icext @ SY65 @ SY66 ) )
                                    | ( icext @ SV1 @ SY66 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SV9 ) )
                                      | ~ ( ic @ SV14 ) )
                                | ~ ( ic @ SY65 ) )
                          | ~ ! [SY67: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY67 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY67 )
                                                | ~ ( icext @ SV14 @ SY67 ) )
                                          | ~ ( icext @ SY65 @ SY67 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY67 )
                                                  | ~ ( icext @ SV14 @ SY67 ) )
                                            | ~ ( icext @ SY65 @ SY67 ) )
                                      | ( icext @ SV1 @ SY67 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
              | ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) ) )
        = $false )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
                | ~ ( iext @ SV3 @ SV11 @ SV13 ) ) )
        = $true )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(54,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV4 @ SV8 )
        | ( icext @ SV8 @ SV4 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(55,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ~ ( icext @ SV8 @ SV4 )
        | ( iext @ uri_rdf_type @ SV4 @ SV8 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(56,plain,
    ( ( ~ ~ ! [SY68: $i] :
              ~ ~ ! [SY69: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                    | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                              | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                                        | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                                  | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ SY68 ) )
                                                            | ~ ( iext @ uri_rdf_first @ SY68 @ SY69 ) )
                                                      | ~ ( iext @ uri_rdf_rest @ SY68 @ uri_rdf_nil ) )
                                                | ~ ( iext @ uri_rdf_type @ SY69 @ uri_owl_Restriction ) )
                                          | ~ ( iext @ uri_owl_onProperty @ SY69 @ uri_rdfs_domain ) )
                                    | ~ ( iext @ uri_owl_hasValue @ SY69 @ uri_foaf_Person ) )
                              | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                        | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[50]) ).

thf(57,plain,
    ! [SV1: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ! [SY70: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                        | ~ ( iext @ uri_rdf_first @ SV15 @ SY70 ) )
                  | ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SY70 ) )
                        | ~ ! [SY66: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY66 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY66 )
                                              | ~ ( icext @ SV14 @ SY66 ) )
                                        | ~ ( icext @ SY70 @ SY66 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY66 )
                                                | ~ ( icext @ SV14 @ SY66 ) )
                                          | ~ ( icext @ SY70 @ SY66 ) )
                                    | ( icext @ SV1 @ SY66 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                            | ~ ( ic @ SV9 ) )
                                      | ~ ( ic @ SV14 ) )
                                | ~ ( ic @ SY70 ) )
                          | ~ ! [SY67: $i] :
                                ~ ( ~ ( ~ ( icext @ SV1 @ SY67 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY67 )
                                                | ~ ( icext @ SV14 @ SY67 ) )
                                          | ~ ( icext @ SY70 @ SY67 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY67 )
                                                  | ~ ( icext @ SV14 @ SY67 ) )
                                            | ~ ( icext @ SY70 @ SY67 ) )
                                      | ( icext @ SV1 @ SY67 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(58,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
          | ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(59,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
              | ~ ( iext @ SV3 @ SV11 @ SV13 ) ) )
        = $false )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(60,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV4 @ SV8 ) )
        = $true )
      | ( ( icext @ SV8 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(61,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ( ~ ( icext @ SV8 @ SV4 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(62,plain,
    ( ( ~ ! [SY68: $i] :
            ~ ~ ! [SY69: $i] :
                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                                | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ SY68 ) )
                                                          | ~ ( iext @ uri_rdf_first @ SY68 @ SY69 ) )
                                                    | ~ ( iext @ uri_rdf_rest @ SY68 @ uri_rdf_nil ) )
                                              | ~ ( iext @ uri_rdf_type @ SY69 @ uri_owl_Restriction ) )
                                        | ~ ( iext @ uri_owl_onProperty @ SY69 @ uri_rdfs_domain ) )
                                  | ~ ( iext @ uri_owl_hasValue @ SY69 @ uri_foaf_Person ) )
                            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                      | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(63,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                      | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                          | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                    | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
              | ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                      | ~ ( ic @ SV9 ) )
                                | ~ ( ic @ SV14 ) )
                          | ~ ( ic @ SV16 ) )
                    | ~ ! [SY73: $i] :
                          ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                          | ~ ( icext @ SV14 @ SY73 ) )
                                    | ~ ( icext @ SV16 @ SY73 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) )
                                | ( icext @ SV1 @ SY73 ) ) ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY74: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                            | ~ ( icext @ SV14 @ SY74 ) )
                                      | ~ ( icext @ SV16 @ SY74 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) )
                                  | ( icext @ SV1 @ SY74 ) ) ) )
                | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( iext @ uri_owl_hasValue @ SV2 @ SV10 ) )
        = $true )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
          | ~ ( iext @ SV3 @ SV11 @ SV13 ) )
        = $true )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( iext @ uri_rdf_type @ SV4 @ SV8 )
        = $false )
      | ( ( icext @ SV8 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ( icext @ SV8 @ SV4 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(68,plain,
    ( ( ! [SY68: $i] :
          ~ ~ ! [SY69: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                                | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                          | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                                    | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                              | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ SY68 ) )
                                                        | ~ ( iext @ uri_rdf_first @ SY68 @ SY69 ) )
                                                  | ~ ( iext @ uri_rdf_rest @ SY68 @ uri_rdf_nil ) )
                                            | ~ ( iext @ uri_rdf_type @ SY69 @ uri_owl_Restriction ) )
                                      | ~ ( iext @ uri_owl_onProperty @ SY69 @ uri_rdfs_domain ) )
                                | ~ ( iext @ uri_owl_hasValue @ SY69 @ uri_foaf_Person ) )
                          | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                    | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                        | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                  | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                            | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                      | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
                | ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(70,plain,
    ! [SV6: $i,SV10: $i,SV2: $i] :
      ( ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV2 @ SV6 ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(71,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_domain @ SV3 @ SV7 ) )
        = $true )
      | ( ( ~ ( iext @ SV3 @ SV11 @ SV13 ) )
        = $true )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(72,plain,
    ( ( ~ ~ ! [SY75: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                              | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                        | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ SY75 ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                                          | ~ ( iext @ uri_rdf_type @ SY75 @ uri_owl_Restriction ) )
                                    | ~ ( iext @ uri_owl_onProperty @ SY75 @ uri_rdfs_domain ) )
                              | ~ ( iext @ uri_owl_hasValue @ SY75 @ uri_foaf_Person ) )
                        | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                  | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[68]) ).

thf(73,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                      | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                                | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                          | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                    | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
              | ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(74,plain,
    ! [SV10: $i,SV6: $i,SV2: $i] :
      ( ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( ! [SY57: $i] :
              ~ ( ~ ( ~ ( icext @ SV2 @ SY57 )
                    | ( iext @ SV6 @ SY57 @ SV10 ) )
                | ~ ( ~ ( iext @ SV6 @ SY57 @ SV10 )
                    | ( icext @ SV2 @ SY57 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(75,plain,
    ! [SV13: $i,SV11: $i,SV7: $i,SV3: $i] :
      ( ( ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
        = $false )
      | ( ( ~ ( iext @ SV3 @ SV11 @ SV13 ) )
        = $true )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(76,plain,
    ( ( ~ ! [SY75: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                      | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                                | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                          | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ SY75 ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                                        | ~ ( iext @ uri_rdf_type @ SY75 @ uri_owl_Restriction ) )
                                  | ~ ( iext @ uri_owl_onProperty @ SY75 @ uri_rdfs_domain ) )
                            | ~ ( iext @ uri_owl_hasValue @ SY75 @ uri_foaf_Person ) )
                      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(77,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                  | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                            | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                      | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
          | ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[73]) ).

thf(78,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV2 @ SV17 )
                  | ( iext @ SV6 @ SV17 @ SV10 ) )
              | ~ ( ~ ( iext @ SV6 @ SV17 @ SV10 )
                  | ( icext @ SV2 @ SV17 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[74]) ).

thf(79,plain,
    ! [SV7: $i,SV13: $i,SV11: $i,SV3: $i] :
      ( ( ( iext @ SV3 @ SV11 @ SV13 )
        = $false )
      | ( ( iext @ uri_rdfs_domain @ SV3 @ SV7 )
        = $false )
      | ( ( icext @ SV7 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(80,plain,
    ( ( ! [SY75: $i] :
          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                    | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                              | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                        | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                                  | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ SY75 ) )
                                            | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                                      | ~ ( iext @ uri_rdf_type @ SY75 @ uri_owl_Restriction ) )
                                | ~ ( iext @ uri_owl_onProperty @ SY75 @ uri_rdfs_domain ) )
                          | ~ ( iext @ uri_owl_hasValue @ SY75 @ uri_foaf_Person ) )
                    | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
              | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(81,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                  | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                            | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                      | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
                | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(82,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( icext @ SV2 @ SV17 )
              | ( iext @ SV6 @ SV17 @ SV10 ) )
          | ~ ( ~ ( iext @ SV6 @ SV17 @ SV10 )
              | ( icext @ SV2 @ SV17 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(83,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                        | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                  | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                                    | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                              | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
                        | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
            | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[80]) ).

thf(84,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                                | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                          | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                    | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
              | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[81]) ).

thf(85,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( icext @ SV2 @ SV17 )
              | ( iext @ SV6 @ SV17 @ SV10 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV2: $i,SV10: $i,SV17: $i,SV6: $i] :
      ( ( ( ~ ( ~ ( iext @ SV6 @ SV17 @ SV10 )
              | ( icext @ SV2 @ SV17 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(87,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                                | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                          | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                    | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                                  | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                            | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
                      | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
                | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
          | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(88,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                            | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                      | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
          | ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(89,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( icext @ SV2 @ SV17 )
          | ( iext @ SV6 @ SV17 @ SV10 ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(90,plain,
    ! [SV2: $i,SV10: $i,SV17: $i,SV6: $i] :
      ( ( ( ~ ( iext @ SV6 @ SV17 @ SV10 )
          | ( icext @ SV2 @ SV17 ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[86]) ).

thf(91,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                              | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                        | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
                  | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
      | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(92,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                            | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                      | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
                | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(93,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( icext @ SV2 @ SV17 ) )
        = $true )
      | ( ( iext @ SV6 @ SV17 @ SV10 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(94,plain,
    ! [SV2: $i,SV10: $i,SV17: $i,SV6: $i] :
      ( ( ( ~ ( iext @ SV6 @ SV17 @ SV10 ) )
        = $true )
      | ( ( icext @ SV2 @ SV17 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(95,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                              | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                        | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
                  | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(96,plain,
    ( ( ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(97,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                          | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                    | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
              | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(98,plain,
    ! [SV10: $i,SV6: $i,SV17: $i,SV2: $i] :
      ( ( ( icext @ SV2 @ SV17 )
        = $false )
      | ( ( iext @ SV6 @ SV17 @ SV10 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(99,plain,
    ! [SV2: $i,SV10: $i,SV17: $i,SV6: $i] :
      ( ( ( iext @ SV6 @ SV17 @ SV10 )
        = $false )
      | ( ( icext @ SV2 @ SV17 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV2 @ SV10 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(100,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                                | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                          | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                            | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                      | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
                | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
          | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(101,plain,
    ( ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[96]) ).

thf(102,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                      | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
          | ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[97]) ).

thf(103,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                              | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                        | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                  | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
            | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(104,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                      | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
                | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[102]) ).

thf(105,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                              | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                        | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                  | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
            | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(106,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[103]) ).

thf(107,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                    | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
              | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(108,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                    | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                            | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                      | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
                | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
          | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[105]) ).

thf(109,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[106]) ).

thf(110,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
          | ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[107]) ).

thf(111,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                              | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                        | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                  | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
      | ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(112,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
                | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[110]) ).

thf(113,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                              | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                        | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                  | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(114,plain,
    ( ( ~ ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(115,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
              | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(116,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                            | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                      | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
                | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
          | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(117,plain,
    ( ( iext @ uri_owl_hasValue @ sK4_SY75 @ uri_foaf_Person )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(118,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 )
          | ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[115]) ).

thf(119,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                        | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                  | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
            | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
      | ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[116]) ).

thf(120,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV9 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(121,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                        | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                  | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
            | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[119]) ).

thf(122,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[119]) ).

thf(123,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV12: $i,SV9: $i,SV5: $i] :
      ( ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ SV12 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(124,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                            | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                      | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
                | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
          | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[121]) ).

thf(125,plain,
    ( ( iext @ uri_owl_onProperty @ sK4_SY75 @ uri_rdfs_domain )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(126,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV14: $i,SV9: $i,SV12: $i,SV5: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(127,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                              | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                  | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
            | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
      | ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(128,plain,
    ! [SV1: $i,SV16: $i,SV15: $i,SV9: $i,SV5: $i,SV14: $i,SV12: $i] :
      ( ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV12 @ SV15 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(129,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                              | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                  | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
            | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[127]) ).

thf(130,plain,
    ( ( ~ ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[127]) ).

thf(131,plain,
    ! [SV1: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV15: $i,SV12: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV15 @ SV16 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(132,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                            | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                      | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
                | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
          | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(133,plain,
    ( ( iext @ uri_rdf_type @ sK4_SY75 @ uri_owl_Restriction )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(134,plain,
    ! [SV1: $i,SV9: $i,SV5: $i,SV14: $i,SV12: $i,SV16: $i,SV15: $i] :
      ( ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(135,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                        | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
            | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
      | ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(136,plain,
    ! [SV1: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV12: $i,SV15: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                        | ~ ( ic @ SV9 ) )
                                  | ~ ( ic @ SV14 ) )
                            | ~ ( ic @ SV16 ) )
                      | ~ ! [SY73: $i] :
                            ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                            | ~ ( icext @ SV14 @ SY73 ) )
                                      | ~ ( icext @ SV16 @ SY73 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                              | ~ ( icext @ SV14 @ SY73 ) )
                                        | ~ ( icext @ SV16 @ SY73 ) )
                                  | ( icext @ SV1 @ SY73 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                          | ~ ( ic @ SV9 ) )
                                    | ~ ( ic @ SV14 ) )
                              | ~ ( ic @ SV16 ) )
                        | ~ ! [SY74: $i] :
                              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                              | ~ ( icext @ SV14 @ SY74 ) )
                                        | ~ ( icext @ SV16 @ SY74 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                                | ~ ( icext @ SV14 @ SY74 ) )
                                          | ~ ( icext @ SV16 @ SY74 ) )
                                    | ( icext @ SV1 @ SY74 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(137,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                        | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
            | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(138,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(139,plain,
    ! [SV12: $i,SV15: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                    | ~ ( ic @ SV9 ) )
                              | ~ ( ic @ SV14 ) )
                        | ~ ( ic @ SV16 ) )
                  | ~ ! [SY73: $i] :
                        ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                        | ~ ( icext @ SV14 @ SY73 ) )
                                  | ~ ( icext @ SV16 @ SY73 ) ) )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                          | ~ ( icext @ SV14 @ SY73 ) )
                                    | ~ ( icext @ SV16 @ SY73 ) )
                              | ( icext @ SV1 @ SY73 ) ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                      | ~ ( ic @ SV9 ) )
                                | ~ ( ic @ SV14 ) )
                          | ~ ( ic @ SV16 ) )
                    | ~ ! [SY74: $i] :
                          ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                          | ~ ( icext @ SV14 @ SY74 ) )
                                    | ~ ( icext @ SV16 @ SY74 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                            | ~ ( icext @ SV14 @ SY74 ) )
                                      | ~ ( icext @ SV16 @ SY74 ) )
                                | ( icext @ SV1 @ SY74 ) ) ) )
              | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(140,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                      | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
                | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
          | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(141,plain,
    ( ( iext @ uri_rdf_rest @ sK3_SY68 @ uri_rdf_nil )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[138]) ).

thf(142,plain,
    ! [SV12: $i,SV15: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                    | ~ ( ic @ SV9 ) )
                              | ~ ( ic @ SV14 ) )
                        | ~ ( ic @ SV16 ) )
                  | ~ ! [SY73: $i] :
                        ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                        | ~ ( icext @ SV14 @ SY73 ) )
                                  | ~ ( icext @ SV16 @ SY73 ) ) )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                          | ~ ( icext @ SV14 @ SY73 ) )
                                    | ~ ( icext @ SV16 @ SY73 ) )
                              | ( icext @ SV1 @ SY73 ) ) ) ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[139]) ).

thf(143,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                      | ~ ( ic @ SV9 ) )
                                | ~ ( ic @ SV14 ) )
                          | ~ ( ic @ SV16 ) )
                    | ~ ! [SY74: $i] :
                          ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                          | ~ ( icext @ SV14 @ SY74 ) )
                                    | ~ ( icext @ SV16 @ SY74 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                            | ~ ( icext @ SV14 @ SY74 ) )
                                      | ~ ( icext @ SV16 @ SY74 ) )
                                | ( icext @ SV1 @ SY74 ) ) ) )
              | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[139]) ).

thf(144,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                              | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                  | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
      | ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[140]) ).

thf(145,plain,
    ! [SV12: $i,SV15: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                | ~ ( ic @ SV9 ) )
                          | ~ ( ic @ SV14 ) )
                    | ~ ( ic @ SV16 ) )
              | ~ ! [SY73: $i] :
                    ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                    | ~ ( icext @ SV14 @ SY73 ) )
                              | ~ ( icext @ SV16 @ SY73 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                      | ~ ( icext @ SV14 @ SY73 ) )
                                | ~ ( icext @ SV16 @ SY73 ) )
                          | ( icext @ SV1 @ SY73 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(146,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                  | ~ ( ic @ SV9 ) )
                            | ~ ( ic @ SV14 ) )
                      | ~ ( ic @ SV16 ) )
                | ~ ! [SY74: $i] :
                      ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                            | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                      | ~ ( icext @ SV14 @ SY74 ) )
                                | ~ ( icext @ SV16 @ SY74 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                        | ~ ( icext @ SV14 @ SY74 ) )
                                  | ~ ( icext @ SV16 @ SY74 ) )
                            | ( icext @ SV1 @ SY74 ) ) ) )
          | ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(147,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                              | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                  | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(148,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(149,plain,
    ! [SV12: $i,SV15: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                | ~ ( ic @ SV9 ) )
                          | ~ ( ic @ SV14 ) )
                    | ~ ( ic @ SV16 ) )
              | ~ ! [SY73: $i] :
                    ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                    | ~ ( icext @ SV14 @ SY73 ) )
                              | ~ ( icext @ SV16 @ SY73 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                      | ~ ( icext @ SV14 @ SY73 ) )
                                | ~ ( icext @ SV16 @ SY73 ) )
                          | ( icext @ SV1 @ SY73 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(150,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                  | ~ ( ic @ SV9 ) )
                            | ~ ( ic @ SV14 ) )
                      | ~ ( ic @ SV16 ) )
                | ~ ! [SY74: $i] :
                      ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                            | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                      | ~ ( icext @ SV14 @ SY74 ) )
                                | ~ ( icext @ SV16 @ SY74 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                        | ~ ( icext @ SV14 @ SY74 ) )
                                  | ~ ( icext @ SV16 @ SY74 ) )
                            | ( icext @ SV1 @ SY74 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[146]) ).

thf(151,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                      | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
                | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
          | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(152,plain,
    ( ( iext @ uri_rdf_first @ sK3_SY68 @ sK4_SY75 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(153,plain,
    ! [SV12: $i,SV15: $i,SV16: $i,SV14: $i,SV9: $i,SV5: $i,SV1: $i] :
      ( ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                | ~ ( ic @ SV9 ) )
                          | ~ ( ic @ SV14 ) )
                    | ~ ( ic @ SV16 ) )
              | ~ ! [SY73: $i] :
                    ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                    | ~ ( icext @ SV14 @ SY73 ) )
                              | ~ ( icext @ SV16 @ SY73 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                      | ~ ( icext @ SV14 @ SY73 ) )
                                | ~ ( icext @ SV16 @ SY73 ) )
                          | ( icext @ SV1 @ SY73 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(154,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                                | ~ ( ic @ SV9 ) )
                          | ~ ( ic @ SV14 ) )
                    | ~ ( ic @ SV16 ) )
              | ~ ! [SY74: $i] :
                    ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                    | ~ ( icext @ SV14 @ SY74 ) )
                              | ~ ( icext @ SV16 @ SY74 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                      | ~ ( icext @ SV14 @ SY74 ) )
                                | ~ ( icext @ SV16 @ SY74 ) )
                          | ( icext @ SV1 @ SY74 ) ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(155,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                        | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
            | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
      | ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(156,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                            | ~ ( ic @ SV9 ) )
                      | ~ ( ic @ SV14 ) )
                | ~ ( ic @ SV16 ) )
          | ~ ! [SY73: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                | ~ ( icext @ SV14 @ SY73 ) )
                          | ~ ( icext @ SV16 @ SY73 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                  | ~ ( icext @ SV14 @ SY73 ) )
                            | ~ ( icext @ SV16 @ SY73 ) )
                      | ( icext @ SV1 @ SY73 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(157,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                            | ~ ( ic @ SV9 ) )
                      | ~ ( ic @ SV14 ) )
                | ~ ( ic @ SV16 ) )
          | ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(158,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                        | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
            | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[155]) ).

thf(159,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[155]) ).

thf(160,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                            | ~ ( ic @ SV9 ) )
                      | ~ ( ic @ SV14 ) )
                | ~ ( ic @ SV16 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[156]) ).

thf(161,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ! [SY73: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                | ~ ( icext @ SV14 @ SY73 ) )
                          | ~ ( icext @ SV16 @ SY73 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                  | ~ ( icext @ SV14 @ SY73 ) )
                            | ~ ( icext @ SV16 @ SY73 ) )
                      | ( icext @ SV1 @ SY73 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[156]) ).

thf(162,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                            | ~ ( ic @ SV9 ) )
                      | ~ ( ic @ SV14 ) )
                | ~ ( ic @ SV16 ) ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[157]) ).

thf(163,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
                | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
          | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[158]) ).

thf(164,plain,
    ( ( iext @ uri_rdf_rest @ sK2_SY48 @ sK3_SY68 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[159]) ).

thf(165,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                          | ~ ( ic @ SV9 ) )
                    | ~ ( ic @ SV14 ) )
              | ~ ( ic @ SV16 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[160]) ).

thf(166,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ! [SY73: $i] :
              ~ ( ~ ( ~ ( icext @ SV1 @ SY73 )
                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                              | ~ ( icext @ SV14 @ SY73 ) )
                        | ~ ( icext @ SV16 @ SY73 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY73 )
                                | ~ ( icext @ SV14 @ SY73 ) )
                          | ~ ( icext @ SV16 @ SY73 ) )
                    | ( icext @ SV1 @ SY73 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[161]) ).

thf(167,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                          | ~ ( ic @ SV9 ) )
                    | ~ ( ic @ SV14 ) )
              | ~ ( ic @ SV16 ) ) )
        = $false )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(168,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
      | ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[163]) ).

thf(169,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                      | ~ ( ic @ SV9 ) )
                | ~ ( ic @ SV14 ) )
          | ~ ( ic @ SV16 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(170,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV1 @ SV18 )
                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                            | ~ ( icext @ SV14 @ SV18 ) )
                      | ~ ( icext @ SV16 @ SV18 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                              | ~ ( icext @ SV14 @ SV18 ) )
                        | ~ ( icext @ SV16 @ SV18 ) )
                  | ( icext @ SV1 @ SV18 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(171,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                      | ~ ( ic @ SV9 ) )
                | ~ ( ic @ SV14 ) )
          | ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[167]) ).

thf(172,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                  | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[168]) ).

thf(173,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[168]) ).

thf(174,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                      | ~ ( ic @ SV9 ) )
                | ~ ( ic @ SV14 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(175,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i] :
      ( ( ( ~ ( ic @ SV16 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(176,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( icext @ SV1 @ SV18 )
              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                        | ~ ( icext @ SV14 @ SV18 ) )
                  | ~ ( icext @ SV16 @ SV18 ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                          | ~ ( icext @ SV14 @ SV18 ) )
                    | ~ ( icext @ SV16 @ SV18 ) )
              | ( icext @ SV1 @ SV18 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(177,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV1 )
                      | ~ ( ic @ SV9 ) )
                | ~ ( ic @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(178,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
                | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
          | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(179,plain,
    ( ( iext @ uri_rdf_first @ sK2_SY48 @ uri_owl_FunctionalProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[173]) ).

thf(180,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ic @ SV1 )
                    | ~ ( ic @ SV9 ) )
              | ~ ( ic @ SV14 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[174]) ).

thf(181,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i] :
      ( ( ( ic @ SV16 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[175]) ).

thf(182,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( icext @ SV1 @ SV18 )
              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                        | ~ ( icext @ SV14 @ SV18 ) )
                  | ~ ( icext @ SV16 @ SV18 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(183,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                          | ~ ( icext @ SV14 @ SV18 ) )
                    | ~ ( icext @ SV16 @ SV18 ) )
              | ( icext @ SV1 @ SV18 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(184,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ic @ SV1 )
                    | ~ ( ic @ SV9 ) )
              | ~ ( ic @ SV14 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(185,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
      | ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(186,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV1 )
                | ~ ( ic @ SV9 ) )
          | ~ ( ic @ SV14 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(187,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ SV18 )
          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                    | ~ ( icext @ SV14 @ SV18 ) )
              | ~ ( icext @ SV16 @ SV18 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[182]) ).

thf(188,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                      | ~ ( icext @ SV14 @ SV18 ) )
                | ~ ( icext @ SV16 @ SV18 ) )
          | ( icext @ SV1 @ SV18 ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[183]) ).

thf(189,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV1 )
                | ~ ( ic @ SV9 ) )
          | ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(190,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
            | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(191,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(192,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV1 )
                | ~ ( ic @ SV9 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(193,plain,
    ! [SV9: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i] :
      ( ( ( ~ ( ic @ SV14 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(194,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ SV18 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                    | ~ ( icext @ SV14 @ SV18 ) )
              | ~ ( icext @ SV16 @ SV18 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[187]) ).

thf(195,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                      | ~ ( icext @ SV14 @ SV18 ) )
                | ~ ( icext @ SV16 @ SV18 ) ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(196,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV1 )
                | ~ ( ic @ SV9 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(197,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
          | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[190]) ).

thf(198,plain,
    ( ( iext @ uri_rdf_rest @ sK1_SX0 @ sK2_SY48 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[191]) ).

thf(199,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( ic @ SV1 )
              | ~ ( ic @ SV9 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[192]) ).

thf(200,plain,
    ! [SV9: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i] :
      ( ( ( ic @ SV14 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[193]) ).

thf(201,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV18: $i,SV1: $i] :
      ( ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                    | ~ ( icext @ SV14 @ SV18 ) )
              | ~ ( icext @ SV16 @ SV18 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(202,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                    | ~ ( icext @ SV14 @ SV18 ) )
              | ~ ( icext @ SV16 @ SV18 ) ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(203,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( ic @ SV1 )
              | ~ ( ic @ SV9 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(204,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
      | ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(205,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ic @ SV1 )
          | ~ ( ic @ SV9 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(206,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                | ~ ( icext @ SV14 @ SV18 ) )
          | ~ ( icext @ SV16 @ SV18 ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(207,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                | ~ ( icext @ SV14 @ SV18 ) )
          | ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(208,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ic @ SV1 )
          | ~ ( ic @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[203]) ).

thf(209,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[204]) ).

thf(210,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[204]) ).

thf(211,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( ic @ SV1 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(212,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV9: $i] :
      ( ( ( ~ ( ic @ SV9 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(213,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                | ~ ( icext @ SV14 @ SV18 ) ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[206]) ).

thf(214,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV16: $i] :
      ( ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[206]) ).

thf(215,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ SV18 )
                | ~ ( icext @ SV14 @ SV18 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(216,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ~ ( ic @ SV1 ) )
        = $true )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(217,plain,
    ( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[209]) ).

thf(218,plain,
    ( ( iext @ uri_rdf_first @ sK1_SX0 @ uri_owl_DatatypeProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[210]) ).

thf(219,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i] :
      ( ( ( ic @ SV1 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[211]) ).

thf(220,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(221,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ SV18 )
              | ~ ( icext @ SV14 @ SV18 ) ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(222,plain,
    ! [SV9: $i,SV14: $i,SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ SV18 )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[214]) ).

thf(223,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ SV18 )
              | ~ ( icext @ SV14 @ SV18 ) ) )
        = $false )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(224,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ic @ SV1 )
        = $false )
      | ( ( ~ ( ic @ SV9 ) )
        = $true )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(225,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(226,plain,
    ! [SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ SV18 )
          | ~ ( icext @ SV14 @ SV18 ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(227,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ SV18 )
          | ~ ( icext @ SV14 @ SV18 ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(228,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV1: $i,SV9: $i] :
      ( ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ~ ( ic @ SV14 ) )
        = $true )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(229,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(230,plain,
    ( ( ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(231,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ SV18 ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(232,plain,
    ! [SV9: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV14: $i] :
      ( ( ( ~ ( icext @ SV14 @ SV18 ) )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(233,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ SV18 ) )
        = $true )
      | ( ( ~ ( icext @ SV14 @ SV18 ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(234,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV9: $i,SV1: $i,SV14: $i] :
      ( ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ~ ( ic @ SV16 ) )
        = $true )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(235,plain,
    ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[229]) ).

thf(236,plain,
    ( ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK1_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[230]) ).

thf(237,plain,
    ! [SV14: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ SV18 )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(238,plain,
    ! [SV9: $i,SV12: $i,SV16: $i,SV15: $i,SV5: $i,SV1: $i,SV18: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ SV18 )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(239,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV14: $i,SV18: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ SV18 )
        = $false )
      | ( ( ~ ( icext @ SV14 @ SV18 ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(240,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV14: $i,SV1: $i,SV9: $i,SV16: $i] :
      ( ( ( ic @ SV16 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ~ ! [SY74: $i] :
                ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                  | ~ ( icext @ SV14 @ SY74 ) )
                            | ~ ( icext @ SV16 @ SY74 ) )
                      | ( icext @ SV1 @ SY74 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(241,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV16: $i,SV9: $i,SV18: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ SV18 )
        = $false )
      | ( ( icext @ SV9 @ SV18 )
        = $false )
      | ( ( ~ ( icext @ SV16 @ SV18 ) )
        = $true )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(242,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV16: $i,SV14: $i,SV9: $i,SV1: $i] :
      ( ( ( ! [SY74: $i] :
              ~ ( ~ ( ~ ( icext @ SV1 @ SY74 )
                    | ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                              | ~ ( icext @ SV14 @ SY74 ) )
                        | ~ ( icext @ SV16 @ SY74 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ SY74 )
                                | ~ ( icext @ SV14 @ SY74 ) )
                          | ~ ( icext @ SV16 @ SY74 ) )
                    | ( icext @ SV1 @ SY74 ) ) ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(243,plain,
    ! [SV12: $i,SV15: $i,SV5: $i,SV1: $i,SV14: $i,SV9: $i,SV18: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ SV18 )
        = $false )
      | ( ( icext @ SV9 @ SV18 )
        = $false )
      | ( ( icext @ SV14 @ SV18 )
        = $false )
      | ( ( icext @ SV1 @ SV18 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(244,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                  | ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                            | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                      | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                              | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                        | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                  | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[242]) ).

thf(245,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                        | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                  | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(246,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
              | ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                        | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                  | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[245]) ).

thf(247,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
          | ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                    | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(248,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( ~ ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(249,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                    | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(250,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(251,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
          | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[249]) ).

thf(252,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                      | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
          | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(253,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[251]) ).

thf(254,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                      | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(255,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(256,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
              | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(257,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                    | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(258,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[256]) ).

thf(259,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
          | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(260,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[258]) ).

thf(261,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(262,plain,
    ! [SV1: $i,SV9: $i,SV14: $i,SV5: $i,SV15: $i,SV12: $i,SV16: $i] :
      ( ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(263,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(264,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
              | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[261]) ).

thf(265,plain,
    ! [SV1: $i,SV9: $i,SV14: $i,SV5: $i,SV15: $i,SV12: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[262]) ).

thf(266,plain,
    ! [SV1: $i,SV9: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(267,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(268,plain,
    ! [SV1: $i,SV9: $i,SV14: $i,SV5: $i,SV15: $i,SV12: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                    | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(269,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(270,plain,
    ! [SV1: $i,SV9: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV14: $i] :
      ( ( ( ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(271,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                      | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
          | ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[268]) ).

thf(272,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[269]) ).

thf(273,plain,
    ! [SV1: $i,SV9: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(274,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                      | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
                | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(275,plain,
    ! [SV9: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV1: $i] :
      ( ( ( icext @ SV1 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(276,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                    | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
              | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(277,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
          | ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[276]) ).

thf(278,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
                | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(279,plain,
    ! [SV1: $i,SV9: $i,SV14: $i,SV5: $i,SV15: $i,SV12: $i,SV16: $i] :
      ( ( ( ~ ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(280,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
              | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) ) )
        = $true )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[278]) ).

thf(281,plain,
    ! [SV1: $i,SV9: $i,SV14: $i,SV5: $i,SV15: $i,SV12: $i,SV16: $i] :
      ( ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[279]) ).

thf(282,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
          | ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(283,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( ~ ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[282]) ).

thf(284,plain,
    ! [SV1: $i,SV9: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV14: $i] :
      ( ( ( ~ ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) ) )
        = $false )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[282]) ).

thf(285,plain,
    ! [SV1: $i,SV14: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV9: $i] :
      ( ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(286,plain,
    ! [SV1: $i,SV9: $i,SV16: $i,SV5: $i,SV15: $i,SV12: $i,SV14: $i] :
      ( ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $true )
      | ( ( icext @ SV14 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV9 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( icext @ SV16 @ ( sK5_SY74 @ SV12 @ SV15 @ SV5 @ SV16 @ SV14 @ SV9 @ SV1 ) )
        = $false )
      | ( ( ic @ SV14 )
        = $false )
      | ( ( ic @ SV1 )
        = $false )
      | ( ( ic @ SV9 )
        = $false )
      | ( ( ic @ SV16 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV1 @ SV5 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV15 @ SV16 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV12 @ SV14 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV5 @ SV9 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV5 @ SV12 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV12 @ SV15 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV15 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(287,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[29,286,285,281,275,273,272,265,255,243,238,237,236,235,222,220,219,218,200,198,181,179,164,152,141,133,125,117,109,101,99,98,79,67,66]) ).

thf(288,plain,
    ( ( ! [X: $i,C: $i] :
          ( ( iext @ uri_rdf_type @ X @ C )
        <=> ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(289,plain,
    ( ( ! [P: $i,C: $i,X: $i,Y: $i] :
          ( ( ( iext @ uri_rdfs_domain @ P @ C )
            & ( iext @ P @ X @ Y ) )
         => ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(290,plain,
    ( ( ! [Z: $i,S1: $i,C1: $i,S2: $i,C2: $i,S3: $i,C3: $i] :
          ( ( ( iext @ uri_rdf_first @ S1 @ C1 )
            & ( iext @ uri_rdf_rest @ S1 @ S2 )
            & ( iext @ uri_rdf_first @ S2 @ C2 )
            & ( iext @ uri_rdf_rest @ S2 @ S3 )
            & ( iext @ uri_rdf_first @ S3 @ C3 )
            & ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
         => ( ( iext @ uri_owl_intersectionOf @ Z @ S1 )
          <=> ( ( ic @ Z )
              & ( ic @ C1 )
              & ( ic @ C2 )
              & ( ic @ C3 )
              & ! [X: $i] :
                  ( ( icext @ Z @ X )
                <=> ( ( icext @ C1 @ X )
                    & ( icext @ C2 @ X )
                    & ( icext @ C3 @ X ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(291,plain,
    ( ( ! [Z: $i,P: $i,A: $i] :
          ( ( ( iext @ uri_owl_hasValue @ Z @ A )
            & ( iext @ uri_owl_onProperty @ Z @ P ) )
         => ! [X: $i] :
              ( ( icext @ Z @ X )
            <=> ( iext @ P @ X @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(292,plain,
    ( ( ? [BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i,BNODE_r: $i] :
          ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
          & ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ BNODE_l1 )
          & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_owl_DatatypeProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
          & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_owl_FunctionalProperty )
          & ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
          & ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_r )
          & ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
          & ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
          & ( iext @ uri_owl_onProperty @ BNODE_r @ uri_rdfs_domain )
          & ( iext @ uri_owl_hasValue @ BNODE_r @ uri_foaf_Person )
          & ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
          & ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(293,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(294,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
                                        | ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
                                  | ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
                            | ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 ) )
                      | ~ ( iext @ uri_rdf_first @ SX5 @ SX6 ) )
                | ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
          | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
                                        | ~ ( ic @ SX2 ) )
                                  | ~ ( ic @ SX4 ) )
                            | ~ ( ic @ SX6 ) )
                      | ~ ! [SX7: $i] :
                            ~ ( ~ ( ~ ( icext @ SX0 @ SX7 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                            | ~ ( icext @ SX4 @ SX7 ) )
                                      | ~ ( icext @ SX6 @ SX7 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                              | ~ ( icext @ SX4 @ SX7 ) )
                                        | ~ ( icext @ SX6 @ SX7 ) )
                                  | ( icext @ SX0 @ SX7 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SX0 )
                                          | ~ ( ic @ SX2 ) )
                                    | ~ ( ic @ SX4 ) )
                              | ~ ( ic @ SX6 ) )
                        | ~ ! [SX7: $i] :
                              ~ ( ~ ( ~ ( icext @ SX0 @ SX7 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                              | ~ ( icext @ SX4 @ SX7 ) )
                                        | ~ ( icext @ SX6 @ SX7 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SX2 @ SX7 )
                                                | ~ ( icext @ SX4 @ SX7 ) )
                                          | ~ ( icext @ SX6 @ SX7 ) )
                                    | ( icext @ SX0 @ SX7 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(295,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
                | ( icext @ SX1 @ SX0 ) )
            | ~ ( ~ ( icext @ SX1 @ SX0 )
                | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(296,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SX0 @ SX2 )
                | ~ ( iext @ uri_owl_onProperty @ SX0 @ SX1 ) )
          | ! [SX3: $i] :
              ~ ( ~ ( ~ ( icext @ SX0 @ SX3 )
                    | ( iext @ SX1 @ SX3 @ SX2 ) )
                | ~ ( ~ ( iext @ SX1 @ SX3 @ SX2 )
                    | ( icext @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(297,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ! [SX2: $i] :
                        ~ ~ ! [SX3: $i] :
                              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ SX0 ) )
                                                                                              | ~ ( iext @ uri_rdf_first @ SX0 @ uri_owl_DatatypeProperty ) )
                                                                                        | ~ ( iext @ uri_rdf_rest @ SX0 @ SX1 ) )
                                                                                  | ~ ( iext @ uri_rdf_first @ SX1 @ uri_owl_FunctionalProperty ) )
                                                                            | ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
                                                                | ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
                                                          | ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_Restriction ) )
                                                    | ~ ( iext @ uri_owl_onProperty @ SX3 @ uri_rdfs_domain ) )
                                              | ~ ( iext @ uri_owl_hasValue @ SX3 @ uri_foaf_Person ) )
                                        | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                                  | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(298,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SX0 @ SX1 )
                | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
          | ( icext @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(299,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_alice @ uri_foaf_Person )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(300,plain,
    ! [SV19: $i] :
      ( ( ! [SY76: $i,SY77: $i,SY78: $i,SY79: $i,SY80: $i,SY81: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY76 @ SY77 )
                                          | ~ ( iext @ uri_rdf_rest @ SY76 @ SY78 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY78 @ SY79 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY78 @ SY80 ) )
                        | ~ ( iext @ uri_rdf_first @ SY80 @ SY81 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY80 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SY76 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SY77 ) )
                                    | ~ ( ic @ SY79 ) )
                              | ~ ( ic @ SY81 ) )
                        | ~ ! [SY82: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY82 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SY77 @ SY82 )
                                              | ~ ( icext @ SY79 @ SY82 ) )
                                        | ~ ( icext @ SY81 @ SY82 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY77 @ SY82 )
                                                | ~ ( icext @ SY79 @ SY82 ) )
                                          | ~ ( icext @ SY81 @ SY82 ) )
                                    | ( icext @ SV19 @ SY82 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SY77 ) )
                                      | ~ ( ic @ SY79 ) )
                                | ~ ( ic @ SY81 ) )
                          | ~ ! [SY83: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY83 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SY77 @ SY83 )
                                                | ~ ( icext @ SY79 @ SY83 ) )
                                          | ~ ( icext @ SY81 @ SY83 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY77 @ SY83 )
                                                  | ~ ( icext @ SY79 @ SY83 ) )
                                            | ~ ( icext @ SY81 @ SY83 ) )
                                      | ( icext @ SV19 @ SY83 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SY76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(301,plain,
    ! [SV20: $i] :
      ( ( ! [SY84: $i] :
            ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV20 @ SY84 )
                  | ( icext @ SY84 @ SV20 ) )
              | ~ ( ~ ( icext @ SY84 @ SV20 )
                  | ( iext @ uri_rdf_type @ SV20 @ SY84 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(302,plain,
    ! [SV21: $i] :
      ( ( ! [SY85: $i,SY86: $i] :
            ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SY86 )
                  | ~ ( iext @ uri_owl_onProperty @ SV21 @ SY85 ) )
            | ! [SY87: $i] :
                ~ ( ~ ( ~ ( icext @ SV21 @ SY87 )
                      | ( iext @ SY85 @ SY87 @ SY86 ) )
                  | ~ ( ~ ( iext @ SY85 @ SY87 @ SY86 )
                      | ( icext @ SV21 @ SY87 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(303,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ! [SX1: $i] :
                ~ ~ ! [SX2: $i] :
                      ~ ~ ! [SX3: $i] :
                            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ SX0 ) )
                                                                                            | ~ ( iext @ uri_rdf_first @ SX0 @ uri_owl_DatatypeProperty ) )
                                                                                      | ~ ( iext @ uri_rdf_rest @ SX0 @ SX1 ) )
                                                                                | ~ ( iext @ uri_rdf_first @ SX1 @ uri_owl_FunctionalProperty ) )
                                                                          | ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
                                                                    | ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
                                                              | ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
                                                        | ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_Restriction ) )
                                                  | ~ ( iext @ uri_owl_onProperty @ SX3 @ uri_rdfs_domain ) )
                                            | ~ ( iext @ uri_owl_hasValue @ SX3 @ uri_foaf_Person ) )
                                      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                                | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[297]) ).

thf(304,plain,
    ! [SV22: $i] :
      ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SY88 )
                  | ~ ( iext @ SV22 @ SY89 @ SY90 ) )
            | ( icext @ SY88 @ SY89 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(305,plain,
    ! [SV19: $i,SV23: $i] :
      ( ( ! [SY91: $i,SY92: $i,SY93: $i,SY94: $i,SY95: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SY91 )
                                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SY92 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY92 @ SY93 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY92 @ SY94 ) )
                        | ~ ( iext @ uri_rdf_first @ SY94 @ SY95 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY94 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SY91 ) )
                                    | ~ ( ic @ SY93 ) )
                              | ~ ( ic @ SY95 ) )
                        | ~ ! [SY82: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY82 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SY91 @ SY82 )
                                              | ~ ( icext @ SY93 @ SY82 ) )
                                        | ~ ( icext @ SY95 @ SY82 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY91 @ SY82 )
                                                | ~ ( icext @ SY93 @ SY82 ) )
                                          | ~ ( icext @ SY95 @ SY82 ) )
                                    | ( icext @ SV19 @ SY82 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SY91 ) )
                                      | ~ ( ic @ SY93 ) )
                                | ~ ( ic @ SY95 ) )
                          | ~ ! [SY83: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY83 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SY91 @ SY83 )
                                                | ~ ( icext @ SY93 @ SY83 ) )
                                          | ~ ( icext @ SY95 @ SY83 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SY91 @ SY83 )
                                                  | ~ ( icext @ SY93 @ SY83 ) )
                                            | ~ ( icext @ SY95 @ SY83 ) )
                                      | ( icext @ SV19 @ SY83 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(306,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV20 @ SV24 )
                | ( icext @ SV24 @ SV20 ) )
            | ~ ( ~ ( icext @ SV24 @ SV20 )
                | ( iext @ uri_rdf_type @ SV20 @ SV24 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(307,plain,
    ! [SV25: $i,SV21: $i] :
      ( ( ! [SY98: $i] :
            ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SY98 )
                  | ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) )
            | ! [SY99: $i] :
                ~ ( ~ ( ~ ( icext @ SV21 @ SY99 )
                      | ( iext @ SV25 @ SY99 @ SY98 ) )
                  | ~ ( ~ ( iext @ SV25 @ SY99 @ SY98 )
                      | ( icext @ SV21 @ SY99 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(308,plain,
    ( ( ~ ~ ! [SY100: $i] :
              ~ ~ ! [SY101: $i] :
                    ~ ~ ! [SY102: $i] :
                          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                    | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ SY100 ) )
                                                                              | ~ ( iext @ uri_rdf_first @ SY100 @ uri_owl_FunctionalProperty ) )
                                                                        | ~ ( iext @ uri_rdf_rest @ SY100 @ SY101 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ SY101 @ SY102 ) )
                                                            | ~ ( iext @ uri_rdf_rest @ SY101 @ uri_rdf_nil ) )
                                                      | ~ ( iext @ uri_rdf_type @ SY102 @ uri_owl_Restriction ) )
                                                | ~ ( iext @ uri_owl_onProperty @ SY102 @ uri_rdfs_domain ) )
                                          | ~ ( iext @ uri_owl_hasValue @ SY102 @ uri_foaf_Person ) )
                                    | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                              | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[303]) ).

thf(309,plain,
    ! [SV26: $i,SV22: $i] :
      ( ( ! [SY103: $i,SY104: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
                  | ~ ( iext @ SV22 @ SY103 @ SY104 ) )
            | ( icext @ SV26 @ SY103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(310,plain,
    ! [SV19: $i,SV27: $i,SV23: $i] :
      ( ( ! [SY105: $i,SY106: $i,SY107: $i,SY108: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SY105 ) )
                                    | ~ ( iext @ uri_rdf_first @ SY105 @ SY106 ) )
                              | ~ ( iext @ uri_rdf_rest @ SY105 @ SY107 ) )
                        | ~ ( iext @ uri_rdf_first @ SY107 @ SY108 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY107 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SY106 ) )
                              | ~ ( ic @ SY108 ) )
                        | ~ ! [SY109: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY109 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY109 )
                                              | ~ ( icext @ SY106 @ SY109 ) )
                                        | ~ ( icext @ SY108 @ SY109 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY109 )
                                                | ~ ( icext @ SY106 @ SY109 ) )
                                          | ~ ( icext @ SY108 @ SY109 ) )
                                    | ( icext @ SV19 @ SY109 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SV27 ) )
                                      | ~ ( ic @ SY106 ) )
                                | ~ ( ic @ SY108 ) )
                          | ~ ! [SY110: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY110 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY110 )
                                                | ~ ( icext @ SY106 @ SY110 ) )
                                          | ~ ( icext @ SY108 @ SY110 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY110 )
                                                  | ~ ( icext @ SY106 @ SY110 ) )
                                            | ~ ( icext @ SY108 @ SY110 ) )
                                      | ( icext @ SV19 @ SY110 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(311,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ~ ( ~ ( iext @ uri_rdf_type @ SV20 @ SV24 )
            | ( icext @ SV24 @ SV20 ) )
        | ~ ( ~ ( icext @ SV24 @ SV20 )
            | ( iext @ uri_rdf_type @ SV20 @ SV24 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(312,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
              | ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) )
        | ! [SY111: $i] :
            ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                  | ( iext @ SV25 @ SY111 @ SV28 ) )
              | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                  | ( icext @ SV21 @ SY111 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(313,plain,
    ( ( ~ ! [SY100: $i] :
            ~ ~ ! [SY101: $i] :
                  ~ ~ ! [SY102: $i] :
                        ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                        | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                  | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ SY100 ) )
                                                                            | ~ ( iext @ uri_rdf_first @ SY100 @ uri_owl_FunctionalProperty ) )
                                                                      | ~ ( iext @ uri_rdf_rest @ SY100 @ SY101 ) )
                                                                | ~ ( iext @ uri_rdf_first @ SY101 @ SY102 ) )
                                                          | ~ ( iext @ uri_rdf_rest @ SY101 @ uri_rdf_nil ) )
                                                    | ~ ( iext @ uri_rdf_type @ SY102 @ uri_owl_Restriction ) )
                                              | ~ ( iext @ uri_owl_onProperty @ SY102 @ uri_rdfs_domain ) )
                                        | ~ ( iext @ uri_owl_hasValue @ SY102 @ uri_foaf_Person ) )
                                  | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                            | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[308]) ).

thf(314,plain,
    ! [SV29: $i,SV26: $i,SV22: $i] :
      ( ( ! [SY112: $i] :
            ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
                  | ~ ( iext @ SV22 @ SV29 @ SY112 ) )
            | ( icext @ SV26 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(315,plain,
    ! [SV19: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ! [SY113: $i,SY114: $i,SY115: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV30 @ SY113 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV30 @ SY114 ) )
                        | ~ ( iext @ uri_rdf_first @ SY114 @ SY115 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY114 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SY113 ) )
                              | ~ ( ic @ SY115 ) )
                        | ~ ! [SY109: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY109 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY109 )
                                              | ~ ( icext @ SY113 @ SY109 ) )
                                        | ~ ( icext @ SY115 @ SY109 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY109 )
                                                | ~ ( icext @ SY113 @ SY109 ) )
                                          | ~ ( icext @ SY115 @ SY109 ) )
                                    | ( icext @ SV19 @ SY109 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SV27 ) )
                                      | ~ ( ic @ SY113 ) )
                                | ~ ( ic @ SY115 ) )
                          | ~ ! [SY110: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY110 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY110 )
                                                | ~ ( icext @ SY113 @ SY110 ) )
                                          | ~ ( icext @ SY115 @ SY110 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY110 )
                                                  | ~ ( icext @ SY113 @ SY110 ) )
                                            | ~ ( icext @ SY115 @ SY110 ) )
                                      | ( icext @ SV19 @ SY110 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(316,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ~ ( ~ ( iext @ uri_rdf_type @ SV20 @ SV24 )
            | ( icext @ SV24 @ SV20 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(317,plain,
    ! [SV20: $i,SV24: $i] :
      ( ( ~ ( ~ ( icext @ SV24 @ SV20 )
            | ( iext @ uri_rdf_type @ SV20 @ SV24 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(318,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
                | ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) ) )
        = $true )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(319,plain,
    ( ( ! [SY100: $i] :
          ~ ~ ! [SY101: $i] :
                ~ ~ ! [SY102: $i] :
                      ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                                | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ SY100 ) )
                                                                          | ~ ( iext @ uri_rdf_first @ SY100 @ uri_owl_FunctionalProperty ) )
                                                                    | ~ ( iext @ uri_rdf_rest @ SY100 @ SY101 ) )
                                                              | ~ ( iext @ uri_rdf_first @ SY101 @ SY102 ) )
                                                        | ~ ( iext @ uri_rdf_rest @ SY101 @ uri_rdf_nil ) )
                                                  | ~ ( iext @ uri_rdf_type @ SY102 @ uri_owl_Restriction ) )
                                            | ~ ( iext @ uri_owl_onProperty @ SY102 @ uri_rdfs_domain ) )
                                      | ~ ( iext @ uri_owl_hasValue @ SY102 @ uri_foaf_Person ) )
                                | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                          | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(320,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
              | ~ ( iext @ SV22 @ SV29 @ SV31 ) )
        | ( icext @ SV26 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(321,plain,
    ! [SV19: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ! [SY118: $i,SY119: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV30 @ SY118 ) )
                        | ~ ( iext @ uri_rdf_first @ SY118 @ SY119 ) )
                  | ~ ( iext @ uri_rdf_rest @ SY118 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SY119 ) )
                        | ~ ! [SY120: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY120 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY120 )
                                              | ~ ( icext @ SV32 @ SY120 ) )
                                        | ~ ( icext @ SY119 @ SY120 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY120 )
                                                | ~ ( icext @ SV32 @ SY120 ) )
                                          | ~ ( icext @ SY119 @ SY120 ) )
                                    | ( icext @ SV19 @ SY120 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SV27 ) )
                                      | ~ ( ic @ SV32 ) )
                                | ~ ( ic @ SY119 ) )
                          | ~ ! [SY121: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY121 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY121 )
                                                | ~ ( icext @ SV32 @ SY121 ) )
                                          | ~ ( icext @ SY119 @ SY121 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY121 )
                                                  | ~ ( icext @ SV32 @ SY121 ) )
                                            | ~ ( icext @ SY119 @ SY121 ) )
                                      | ( icext @ SV19 @ SY121 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(322,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV20 @ SV24 )
        | ( icext @ SV24 @ SV20 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[316]) ).

thf(323,plain,
    ! [SV20: $i,SV24: $i] :
      ( ( ~ ( icext @ SV24 @ SV20 )
        | ( iext @ uri_rdf_type @ SV20 @ SV24 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[317]) ).

thf(324,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
              | ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) ) )
        = $false )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[318]) ).

thf(325,plain,
    ( ( ~ ~ ! [SY122: $i] :
              ~ ~ ! [SY123: $i] :
                    ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                    | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                              | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                                        | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                                  | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ SY122 ) )
                                                            | ~ ( iext @ uri_rdf_first @ SY122 @ SY123 ) )
                                                      | ~ ( iext @ uri_rdf_rest @ SY122 @ uri_rdf_nil ) )
                                                | ~ ( iext @ uri_rdf_type @ SY123 @ uri_owl_Restriction ) )
                                          | ~ ( iext @ uri_owl_onProperty @ SY123 @ uri_rdfs_domain ) )
                                    | ~ ( iext @ uri_owl_hasValue @ SY123 @ uri_foaf_Person ) )
                              | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                        | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[319]) ).

thf(326,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
                | ~ ( iext @ SV22 @ SV29 @ SV31 ) ) )
        = $true )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(327,plain,
    ! [SV19: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ! [SY124: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                    | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                              | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                        | ~ ( iext @ uri_rdf_first @ SV33 @ SY124 ) )
                  | ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
            | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SY124 ) )
                        | ~ ! [SY120: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY120 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY120 )
                                              | ~ ( icext @ SV32 @ SY120 ) )
                                        | ~ ( icext @ SY124 @ SY120 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY120 )
                                                | ~ ( icext @ SV32 @ SY120 ) )
                                          | ~ ( icext @ SY124 @ SY120 ) )
                                    | ( icext @ SV19 @ SY120 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                            | ~ ( ic @ SV27 ) )
                                      | ~ ( ic @ SV32 ) )
                                | ~ ( ic @ SY124 ) )
                          | ~ ! [SY121: $i] :
                                ~ ( ~ ( ~ ( icext @ SV19 @ SY121 )
                                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY121 )
                                                | ~ ( icext @ SV32 @ SY121 ) )
                                          | ~ ( icext @ SY124 @ SY121 ) ) )
                                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY121 )
                                                  | ~ ( icext @ SV32 @ SY121 ) )
                                            | ~ ( icext @ SY124 @ SY121 ) )
                                      | ( icext @ SV19 @ SY121 ) ) ) )
                    | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(328,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV20 @ SV24 ) )
        = $true )
      | ( ( icext @ SV24 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(329,plain,
    ! [SV20: $i,SV24: $i] :
      ( ( ( ~ ( icext @ SV24 @ SV20 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV20 @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(330,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
          | ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) )
        = $true )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(331,plain,
    ( ( ~ ! [SY122: $i] :
            ~ ~ ! [SY123: $i] :
                  ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                                | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ SY122 ) )
                                                          | ~ ( iext @ uri_rdf_first @ SY122 @ SY123 ) )
                                                    | ~ ( iext @ uri_rdf_rest @ SY122 @ uri_rdf_nil ) )
                                              | ~ ( iext @ uri_rdf_type @ SY123 @ uri_owl_Restriction ) )
                                        | ~ ( iext @ uri_owl_onProperty @ SY123 @ uri_rdfs_domain ) )
                                  | ~ ( iext @ uri_owl_hasValue @ SY123 @ uri_foaf_Person ) )
                            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                      | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(332,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
              | ~ ( iext @ SV22 @ SV29 @ SV31 ) ) )
        = $false )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(333,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                      | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                          | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                    | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
              | ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        | ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                      | ~ ( ic @ SV27 ) )
                                | ~ ( ic @ SV32 ) )
                          | ~ ( ic @ SV34 ) )
                    | ~ ! [SY127: $i] :
                          ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                          | ~ ( icext @ SV32 @ SY127 ) )
                                    | ~ ( icext @ SV34 @ SY127 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) )
                                | ( icext @ SV19 @ SY127 ) ) ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY128: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                            | ~ ( icext @ SV32 @ SY128 ) )
                                      | ~ ( icext @ SV34 @ SY128 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) )
                                  | ( icext @ SV19 @ SY128 ) ) ) )
                | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(334,plain,
    ! [SV24: $i,SV20: $i] :
      ( ( ( iext @ uri_rdf_type @ SV20 @ SV24 )
        = $false )
      | ( ( icext @ SV24 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(335,plain,
    ! [SV20: $i,SV24: $i] :
      ( ( ( icext @ SV24 @ SV20 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV20 @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(336,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ( ~ ( iext @ uri_owl_hasValue @ SV21 @ SV28 ) )
        = $true )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) )
        = $true )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[330]) ).

thf(337,plain,
    ( ( ! [SY122: $i] :
          ~ ~ ! [SY123: $i] :
                ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                                | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                          | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                                    | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                              | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ SY122 ) )
                                                        | ~ ( iext @ uri_rdf_first @ SY122 @ SY123 ) )
                                                  | ~ ( iext @ uri_rdf_rest @ SY122 @ uri_rdf_nil ) )
                                            | ~ ( iext @ uri_rdf_type @ SY123 @ uri_owl_Restriction ) )
                                      | ~ ( iext @ uri_owl_onProperty @ SY123 @ uri_rdfs_domain ) )
                                | ~ ( iext @ uri_owl_hasValue @ SY123 @ uri_foaf_Person ) )
                          | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                    | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(338,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
          | ~ ( iext @ SV22 @ SV29 @ SV31 ) )
        = $true )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(339,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                        | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                  | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                            | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                      | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
                | ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(340,plain,
    ! [SV25: $i,SV28: $i,SV21: $i] :
      ( ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( ~ ( iext @ uri_owl_onProperty @ SV21 @ SV25 ) )
        = $true )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(341,plain,
    ( ( ~ ~ ! [SY129: $i] :
              ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                              | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                        | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ SY129 ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                                          | ~ ( iext @ uri_rdf_type @ SY129 @ uri_owl_Restriction ) )
                                    | ~ ( iext @ uri_owl_onProperty @ SY129 @ uri_rdfs_domain ) )
                              | ~ ( iext @ uri_owl_hasValue @ SY129 @ uri_foaf_Person ) )
                        | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                  | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[337]) ).

thf(342,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ( ~ ( iext @ uri_rdfs_domain @ SV22 @ SV26 ) )
        = $true )
      | ( ( ~ ( iext @ SV22 @ SV29 @ SV31 ) )
        = $true )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[338]) ).

thf(343,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                      | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                                | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                          | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                    | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
              | ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(344,plain,
    ! [SV28: $i,SV25: $i,SV21: $i] :
      ( ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( ! [SY111: $i] :
              ~ ( ~ ( ~ ( icext @ SV21 @ SY111 )
                    | ( iext @ SV25 @ SY111 @ SV28 ) )
                | ~ ( ~ ( iext @ SV25 @ SY111 @ SV28 )
                    | ( icext @ SV21 @ SY111 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(345,plain,
    ( ( ~ ! [SY129: $i] :
            ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                      | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                                | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                          | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ SY129 ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                                        | ~ ( iext @ uri_rdf_type @ SY129 @ uri_owl_Restriction ) )
                                  | ~ ( iext @ uri_owl_onProperty @ SY129 @ uri_rdfs_domain ) )
                            | ~ ( iext @ uri_owl_hasValue @ SY129 @ uri_foaf_Person ) )
                      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
                | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[341]) ).

thf(346,plain,
    ! [SV31: $i,SV29: $i,SV26: $i,SV22: $i] :
      ( ( ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
        = $false )
      | ( ( ~ ( iext @ SV22 @ SV29 @ SV31 ) )
        = $true )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(347,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                  | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                            | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                      | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
          | ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(348,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV21 @ SV35 )
                  | ( iext @ SV25 @ SV35 @ SV28 ) )
              | ~ ( ~ ( iext @ SV25 @ SV35 @ SV28 )
                  | ( icext @ SV21 @ SV35 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(349,plain,
    ( ( ! [SY129: $i] :
          ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                    | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                              | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                        | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                                  | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ SY129 ) )
                                            | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                                      | ~ ( iext @ uri_rdf_type @ SY129 @ uri_owl_Restriction ) )
                                | ~ ( iext @ uri_owl_onProperty @ SY129 @ uri_rdfs_domain ) )
                          | ~ ( iext @ uri_owl_hasValue @ SY129 @ uri_foaf_Person ) )
                    | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
              | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(350,plain,
    ! [SV26: $i,SV31: $i,SV29: $i,SV22: $i] :
      ( ( ( iext @ SV22 @ SV29 @ SV31 )
        = $false )
      | ( ( iext @ uri_rdfs_domain @ SV22 @ SV26 )
        = $false )
      | ( ( icext @ SV26 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(351,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                  | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                            | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                      | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
                | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[347]) ).

thf(352,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( icext @ SV21 @ SV35 )
              | ( iext @ SV25 @ SV35 @ SV28 ) )
          | ~ ( ~ ( iext @ SV25 @ SV35 @ SV28 )
              | ( icext @ SV21 @ SV35 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(353,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                        | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                  | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                                    | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                              | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
                        | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
            | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[349]) ).

thf(354,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                                | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                          | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                    | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
              | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(355,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( icext @ SV21 @ SV35 )
              | ( iext @ SV25 @ SV35 @ SV28 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(356,plain,
    ! [SV21: $i,SV28: $i,SV35: $i,SV25: $i] :
      ( ( ( ~ ( ~ ( iext @ SV25 @ SV35 @ SV28 )
              | ( icext @ SV21 @ SV35 ) ) )
        = $false )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(357,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                                | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                          | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                    | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                                  | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                            | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
                      | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
                | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
          | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[353]) ).

thf(358,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                            | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                      | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
          | ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[354]) ).

thf(359,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( ~ ( icext @ SV21 @ SV35 )
          | ( iext @ SV25 @ SV35 @ SV28 ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(360,plain,
    ! [SV21: $i,SV28: $i,SV35: $i,SV25: $i] :
      ( ( ( ~ ( iext @ SV25 @ SV35 @ SV28 )
          | ( icext @ SV21 @ SV35 ) )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(361,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                              | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                        | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
                  | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
      | ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(362,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                            | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                      | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
                | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[358]) ).

thf(363,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( ~ ( icext @ SV21 @ SV35 ) )
        = $true )
      | ( ( iext @ SV25 @ SV35 @ SV28 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[359]) ).

thf(364,plain,
    ! [SV21: $i,SV28: $i,SV35: $i,SV25: $i] :
      ( ( ( ~ ( iext @ SV25 @ SV35 @ SV28 ) )
        = $true )
      | ( ( icext @ SV21 @ SV35 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[360]) ).

thf(365,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                              | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                        | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
                  | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
            | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[361]) ).

thf(366,plain,
    ( ( ~ ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[361]) ).

thf(367,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                          | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                    | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
              | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(368,plain,
    ! [SV28: $i,SV25: $i,SV35: $i,SV21: $i] :
      ( ( ( icext @ SV21 @ SV35 )
        = $false )
      | ( ( iext @ SV25 @ SV35 @ SV28 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(369,plain,
    ! [SV21: $i,SV28: $i,SV35: $i,SV25: $i] :
      ( ( ( iext @ SV25 @ SV35 @ SV28 )
        = $false )
      | ( ( icext @ SV21 @ SV35 )
        = $true )
      | ( ( iext @ uri_owl_hasValue @ SV21 @ SV28 )
        = $false )
      | ( ( iext @ uri_owl_onProperty @ SV21 @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[364]) ).

thf(370,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                                | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                          | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                            | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                      | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
                | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
          | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(371,plain,
    ( ( iext @ uri_ex_name @ uri_ex_alice @ ( literal_plain @ dat_str_alice ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[366]) ).

thf(372,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                      | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
          | ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(373,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                              | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                        | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                  | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
            | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
      | ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(374,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                      | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
                | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(375,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                      | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                              | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                        | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                  | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
            | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[373]) ).

thf(376,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[373]) ).

thf(377,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                    | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
              | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(378,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                    | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                            | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                      | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
                | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
          | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[375]) ).

thf(379,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_name @ uri_ex_PersonAttribute )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[376]) ).

thf(380,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
          | ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[377]) ).

thf(381,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                              | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                        | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                  | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
      | ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(382,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
                | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(383,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                                | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                              | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                        | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                  | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[381]) ).

thf(384,plain,
    ( ( ~ ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[381]) ).

thf(385,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
              | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) ) )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(386,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                    | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                              | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                            | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                      | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
                | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
          | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[383]) ).

thf(387,plain,
    ( ( iext @ uri_owl_hasValue @ sK9_SY129 @ uri_foaf_Person )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[384]) ).

thf(388,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 )
          | ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(389,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                        | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                  | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
            | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
      | ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(390,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( ~ ( iext @ uri_rdf_first @ SV23 @ SV27 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(391,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                                | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                          | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                        | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                  | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
            | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(392,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(393,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV30: $i,SV27: $i,SV23: $i] :
      ( ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV23 @ SV30 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(394,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                              | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                        | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                            | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                      | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
                | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
          | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[391]) ).

thf(395,plain,
    ( ( iext @ uri_owl_onProperty @ sK9_SY129 @ uri_rdfs_domain )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[392]) ).

thf(396,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV32: $i,SV27: $i,SV30: $i,SV23: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV30 @ SV32 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(397,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                              | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                  | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
            | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
      | ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(398,plain,
    ! [SV19: $i,SV34: $i,SV33: $i,SV27: $i,SV23: $i,SV32: $i,SV30: $i] :
      ( ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV30 @ SV33 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(399,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                    | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                              | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                  | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
            | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[397]) ).

thf(400,plain,
    ( ( ~ ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[397]) ).

thf(401,plain,
    ! [SV19: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV33: $i,SV30: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_first @ SV33 @ SV34 ) )
        = $true )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(402,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                        | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                                  | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                            | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                      | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
                | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
          | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[399]) ).

thf(403,plain,
    ( ( iext @ uri_rdf_type @ sK9_SY129 @ uri_owl_Restriction )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(404,plain,
    ! [SV19: $i,SV27: $i,SV23: $i,SV32: $i,SV30: $i,SV34: $i,SV33: $i] :
      ( ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( ~ ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(405,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                        | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
            | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
      | ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(406,plain,
    ! [SV19: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV30: $i,SV33: $i] :
      ( ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                        | ~ ( ic @ SV27 ) )
                                  | ~ ( ic @ SV32 ) )
                            | ~ ( ic @ SV34 ) )
                      | ~ ! [SY127: $i] :
                            ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                            | ~ ( icext @ SV32 @ SY127 ) )
                                      | ~ ( icext @ SV34 @ SY127 ) ) )
                              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                              | ~ ( icext @ SV32 @ SY127 ) )
                                        | ~ ( icext @ SV34 @ SY127 ) )
                                  | ( icext @ SV19 @ SY127 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                          | ~ ( ic @ SV27 ) )
                                    | ~ ( ic @ SV32 ) )
                              | ~ ( ic @ SV34 ) )
                        | ~ ! [SY128: $i] :
                              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                              | ~ ( icext @ SV32 @ SY128 ) )
                                        | ~ ( icext @ SV34 @ SY128 ) ) )
                                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                                | ~ ( icext @ SV32 @ SY128 ) )
                                          | ~ ( icext @ SV34 @ SY128 ) )
                                    | ( icext @ SV19 @ SY128 ) ) ) )
                  | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(407,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                    | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                              | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                        | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
            | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(408,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(409,plain,
    ! [SV30: $i,SV33: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                    | ~ ( ic @ SV27 ) )
                              | ~ ( ic @ SV32 ) )
                        | ~ ( ic @ SV34 ) )
                  | ~ ! [SY127: $i] :
                        ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                        | ~ ( icext @ SV32 @ SY127 ) )
                                  | ~ ( icext @ SV34 @ SY127 ) ) )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                          | ~ ( icext @ SV32 @ SY127 ) )
                                    | ~ ( icext @ SV34 @ SY127 ) )
                              | ( icext @ SV19 @ SY127 ) ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                      | ~ ( ic @ SV27 ) )
                                | ~ ( ic @ SV32 ) )
                          | ~ ( ic @ SV34 ) )
                    | ~ ! [SY128: $i] :
                          ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                          | ~ ( icext @ SV32 @ SY128 ) )
                                    | ~ ( icext @ SV34 @ SY128 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                            | ~ ( icext @ SV32 @ SY128 ) )
                                      | ~ ( icext @ SV34 @ SY128 ) )
                                | ( icext @ SV19 @ SY128 ) ) ) )
              | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(410,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                      | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
                | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
          | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[407]) ).

thf(411,plain,
    ( ( iext @ uri_rdf_rest @ sK8_SY122 @ uri_rdf_nil )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[408]) ).

thf(412,plain,
    ! [SV30: $i,SV33: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                    | ~ ( ic @ SV27 ) )
                              | ~ ( ic @ SV32 ) )
                        | ~ ( ic @ SV34 ) )
                  | ~ ! [SY127: $i] :
                        ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                        | ~ ( icext @ SV32 @ SY127 ) )
                                  | ~ ( icext @ SV34 @ SY127 ) ) )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                          | ~ ( icext @ SV32 @ SY127 ) )
                                    | ~ ( icext @ SV34 @ SY127 ) )
                              | ( icext @ SV19 @ SY127 ) ) ) ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(413,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                      | ~ ( ic @ SV27 ) )
                                | ~ ( ic @ SV32 ) )
                          | ~ ( ic @ SV34 ) )
                    | ~ ! [SY128: $i] :
                          ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                                | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                          | ~ ( icext @ SV32 @ SY128 ) )
                                    | ~ ( icext @ SV34 @ SY128 ) ) )
                            | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                            | ~ ( icext @ SV32 @ SY128 ) )
                                      | ~ ( icext @ SV34 @ SY128 ) )
                                | ( icext @ SV19 @ SY128 ) ) ) )
              | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) ) )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(414,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                              | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                  | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
      | ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(415,plain,
    ! [SV30: $i,SV33: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV19: $i] :
      ( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                | ~ ( ic @ SV27 ) )
                          | ~ ( ic @ SV32 ) )
                    | ~ ( ic @ SV34 ) )
              | ~ ! [SY127: $i] :
                    ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                    | ~ ( icext @ SV32 @ SY127 ) )
                              | ~ ( icext @ SV34 @ SY127 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                      | ~ ( icext @ SV32 @ SY127 ) )
                                | ~ ( icext @ SV34 @ SY127 ) )
                          | ( icext @ SV19 @ SY127 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[412]) ).

thf(416,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                  | ~ ( ic @ SV27 ) )
                            | ~ ( ic @ SV32 ) )
                      | ~ ( ic @ SV34 ) )
                | ~ ! [SY128: $i] :
                      ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                            | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                      | ~ ( icext @ SV32 @ SY128 ) )
                                | ~ ( icext @ SV34 @ SY128 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                        | ~ ( icext @ SV32 @ SY128 ) )
                                  | ~ ( icext @ SV34 @ SY128 ) )
                            | ( icext @ SV19 @ SY128 ) ) ) )
          | ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[413]) ).

thf(417,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                    | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                              | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                        | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                  | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[414]) ).

thf(418,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[414]) ).

thf(419,plain,
    ! [SV30: $i,SV33: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV19: $i] :
      ( ( ( ~ ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                | ~ ( ic @ SV27 ) )
                          | ~ ( ic @ SV32 ) )
                    | ~ ( ic @ SV34 ) )
              | ~ ! [SY127: $i] :
                    ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                    | ~ ( icext @ SV32 @ SY127 ) )
                              | ~ ( icext @ SV34 @ SY127 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                      | ~ ( icext @ SV32 @ SY127 ) )
                                | ~ ( icext @ SV34 @ SY127 ) )
                          | ( icext @ SV19 @ SY127 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[415]) ).

thf(420,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                  | ~ ( ic @ SV27 ) )
                            | ~ ( ic @ SV32 ) )
                      | ~ ( ic @ SV34 ) )
                | ~ ! [SY128: $i] :
                      ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                            | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                      | ~ ( icext @ SV32 @ SY128 ) )
                                | ~ ( icext @ SV34 @ SY128 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                        | ~ ( icext @ SV32 @ SY128 ) )
                                  | ~ ( icext @ SV34 @ SY128 ) )
                            | ( icext @ SV19 @ SY128 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(421,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                      | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
                | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
          | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[417]) ).

thf(422,plain,
    ( ( iext @ uri_rdf_first @ sK8_SY122 @ sK9_SY129 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[418]) ).

thf(423,plain,
    ! [SV30: $i,SV33: $i,SV34: $i,SV32: $i,SV27: $i,SV23: $i,SV19: $i] :
      ( ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                | ~ ( ic @ SV27 ) )
                          | ~ ( ic @ SV32 ) )
                    | ~ ( ic @ SV34 ) )
              | ~ ! [SY127: $i] :
                    ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                    | ~ ( icext @ SV32 @ SY127 ) )
                              | ~ ( icext @ SV34 @ SY127 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                      | ~ ( icext @ SV32 @ SY127 ) )
                                | ~ ( icext @ SV34 @ SY127 ) )
                          | ( icext @ SV19 @ SY127 ) ) ) ) )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(424,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                                | ~ ( ic @ SV27 ) )
                          | ~ ( ic @ SV32 ) )
                    | ~ ( ic @ SV34 ) )
              | ~ ! [SY128: $i] :
                    ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                    | ~ ( icext @ SV32 @ SY128 ) )
                              | ~ ( icext @ SV34 @ SY128 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                      | ~ ( icext @ SV32 @ SY128 ) )
                                | ~ ( icext @ SV34 @ SY128 ) )
                          | ( icext @ SV19 @ SY128 ) ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(425,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                        | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
            | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
      | ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(426,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                            | ~ ( ic @ SV27 ) )
                      | ~ ( ic @ SV32 ) )
                | ~ ( ic @ SV34 ) )
          | ~ ! [SY127: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                | ~ ( icext @ SV32 @ SY127 ) )
                          | ~ ( icext @ SV34 @ SY127 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                  | ~ ( icext @ SV32 @ SY127 ) )
                            | ~ ( icext @ SV34 @ SY127 ) )
                      | ( icext @ SV19 @ SY127 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(427,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                            | ~ ( ic @ SV27 ) )
                      | ~ ( ic @ SV32 ) )
                | ~ ( ic @ SV34 ) )
          | ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[424]) ).

thf(428,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                              | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                        | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                  | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
            | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(429,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(430,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                            | ~ ( ic @ SV27 ) )
                      | ~ ( ic @ SV32 ) )
                | ~ ( ic @ SV34 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(431,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ! [SY127: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                | ~ ( icext @ SV32 @ SY127 ) )
                          | ~ ( icext @ SV34 @ SY127 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                  | ~ ( icext @ SV32 @ SY127 ) )
                            | ~ ( icext @ SV34 @ SY127 ) )
                      | ( icext @ SV19 @ SY127 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(432,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                            | ~ ( ic @ SV27 ) )
                      | ~ ( ic @ SV32 ) )
                | ~ ( ic @ SV34 ) ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(433,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
                | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
          | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[428]) ).

thf(434,plain,
    ( ( iext @ uri_rdf_rest @ sK7_SY100 @ sK8_SY122 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(435,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                          | ~ ( ic @ SV27 ) )
                    | ~ ( ic @ SV32 ) )
              | ~ ( ic @ SV34 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[430]) ).

thf(436,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ! [SY127: $i] :
              ~ ( ~ ( ~ ( icext @ SV19 @ SY127 )
                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                              | ~ ( icext @ SV32 @ SY127 ) )
                        | ~ ( icext @ SV34 @ SY127 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY127 )
                                | ~ ( icext @ SV32 @ SY127 ) )
                          | ~ ( icext @ SV34 @ SY127 ) )
                    | ( icext @ SV19 @ SY127 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[431]) ).

thf(437,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                          | ~ ( ic @ SV27 ) )
                    | ~ ( ic @ SV32 ) )
              | ~ ( ic @ SV34 ) ) )
        = $false )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(438,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
      | ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(439,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                      | ~ ( ic @ SV27 ) )
                | ~ ( ic @ SV32 ) )
          | ~ ( ic @ SV34 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(440,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV19 @ SV36 )
                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                            | ~ ( icext @ SV32 @ SV36 ) )
                      | ~ ( icext @ SV34 @ SV36 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                              | ~ ( icext @ SV32 @ SV36 ) )
                        | ~ ( icext @ SV34 @ SV36 ) )
                  | ( icext @ SV19 @ SV36 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(441,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                      | ~ ( ic @ SV27 ) )
                | ~ ( ic @ SV32 ) )
          | ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(442,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                        | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                  | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
            | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(443,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(444,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                      | ~ ( ic @ SV27 ) )
                | ~ ( ic @ SV32 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(445,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i] :
      ( ( ( ~ ( ic @ SV34 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(446,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( icext @ SV19 @ SV36 )
              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                        | ~ ( icext @ SV32 @ SV36 ) )
                  | ~ ( icext @ SV34 @ SV36 ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                          | ~ ( icext @ SV32 @ SV36 ) )
                    | ~ ( icext @ SV34 @ SV36 ) )
              | ( icext @ SV19 @ SV36 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(447,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ic @ SV19 )
                      | ~ ( ic @ SV27 ) )
                | ~ ( ic @ SV32 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[441]) ).

thf(448,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
                | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
          | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[442]) ).

thf(449,plain,
    ( ( iext @ uri_rdf_first @ sK7_SY100 @ uri_owl_FunctionalProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[443]) ).

thf(450,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ic @ SV19 )
                    | ~ ( ic @ SV27 ) )
              | ~ ( ic @ SV32 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[444]) ).

thf(451,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i] :
      ( ( ( ic @ SV34 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[445]) ).

thf(452,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( icext @ SV19 @ SV36 )
              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                        | ~ ( icext @ SV32 @ SV36 ) )
                  | ~ ( icext @ SV34 @ SV36 ) ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(453,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                          | ~ ( icext @ SV32 @ SV36 ) )
                    | ~ ( icext @ SV34 @ SV36 ) )
              | ( icext @ SV19 @ SV36 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(454,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ic @ SV19 )
                    | ~ ( ic @ SV27 ) )
              | ~ ( ic @ SV32 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(455,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
      | ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(456,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV19 )
                | ~ ( ic @ SV27 ) )
          | ~ ( ic @ SV32 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(457,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ SV36 )
          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                    | ~ ( icext @ SV32 @ SV36 ) )
              | ~ ( icext @ SV34 @ SV36 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[452]) ).

thf(458,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                      | ~ ( icext @ SV32 @ SV36 ) )
                | ~ ( icext @ SV34 @ SV36 ) )
          | ( icext @ SV19 @ SV36 ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[453]) ).

thf(459,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV19 )
                | ~ ( ic @ SV27 ) )
          | ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[454]) ).

thf(460,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                  | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
            | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[455]) ).

thf(461,plain,
    ( ( ~ ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[455]) ).

thf(462,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV19 )
                | ~ ( ic @ SV27 ) ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(463,plain,
    ! [SV27: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i] :
      ( ( ( ~ ( ic @ SV32 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(464,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ SV36 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                    | ~ ( icext @ SV32 @ SV36 ) )
              | ~ ( icext @ SV34 @ SV36 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[457]) ).

thf(465,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                      | ~ ( icext @ SV32 @ SV36 ) )
                | ~ ( icext @ SV34 @ SV36 ) ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[458]) ).

thf(466,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( ic @ SV19 )
                | ~ ( ic @ SV27 ) ) )
        = $true )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[459]) ).

thf(467,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
                | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
          | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(468,plain,
    ( ( iext @ uri_rdf_rest @ sK6_SX0 @ sK7_SY100 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(469,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( ic @ SV19 )
              | ~ ( ic @ SV27 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(470,plain,
    ! [SV27: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i] :
      ( ( ( ic @ SV32 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[463]) ).

thf(471,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV36: $i,SV19: $i] :
      ( ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                    | ~ ( icext @ SV32 @ SV36 ) )
              | ~ ( icext @ SV34 @ SV36 ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(472,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                    | ~ ( icext @ SV32 @ SV36 ) )
              | ~ ( icext @ SV34 @ SV36 ) ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(473,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( ic @ SV19 )
              | ~ ( ic @ SV27 ) ) )
        = $false )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(474,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
      | ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(475,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ic @ SV19 )
          | ~ ( ic @ SV27 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(476,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                | ~ ( icext @ SV32 @ SV36 ) )
          | ~ ( icext @ SV34 @ SV36 ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[471]) ).

thf(477,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                | ~ ( icext @ SV32 @ SV36 ) )
          | ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[472]) ).

thf(478,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ic @ SV19 )
          | ~ ( ic @ SV27 ) )
        = $true )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[473]) ).

thf(479,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
            | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(480,plain,
    ( ( ~ ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(481,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i] :
      ( ( ( ~ ( ic @ SV19 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(482,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV27: $i] :
      ( ( ( ~ ( ic @ SV27 ) )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(483,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                | ~ ( icext @ SV32 @ SV36 ) ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[476]) ).

thf(484,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV34: $i] :
      ( ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[476]) ).

thf(485,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ SV36 )
                | ~ ( icext @ SV32 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[477]) ).

thf(486,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ~ ( ic @ SV19 ) )
        = $true )
      | ( ( ~ ( ic @ SV27 ) )
        = $true )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[478]) ).

thf(487,plain,
    ( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
          | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(488,plain,
    ( ( iext @ uri_rdf_first @ sK6_SX0 @ uri_owl_DatatypeProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(489,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i] :
      ( ( ( ic @ SV19 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(490,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV27: $i] :
      ( ( ( ic @ SV27 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(491,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( icext @ SV27 @ SV36 )
              | ~ ( icext @ SV32 @ SV36 ) ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(492,plain,
    ! [SV27: $i,SV32: $i,SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ SV36 )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(493,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( icext @ SV27 @ SV36 )
              | ~ ( icext @ SV32 @ SV36 ) ) )
        = $false )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(494,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ic @ SV19 )
        = $false )
      | ( ( ~ ( ic @ SV27 ) )
        = $true )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(495,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
      | ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(496,plain,
    ! [SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ SV36 )
          | ~ ( icext @ SV32 @ SV36 ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(497,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ SV36 )
          | ~ ( icext @ SV32 @ SV36 ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[493]) ).

thf(498,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV19: $i,SV27: $i] :
      ( ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ~ ( ic @ SV32 ) )
        = $true )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[494]) ).

thf(499,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[495]) ).

thf(500,plain,
    ( ( ~ ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[495]) ).

thf(501,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ SV36 ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[496]) ).

thf(502,plain,
    ! [SV27: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV32: $i] :
      ( ( ( ~ ( icext @ SV32 @ SV36 ) )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[496]) ).

thf(503,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ SV36 ) )
        = $true )
      | ( ( ~ ( icext @ SV32 @ SV36 ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[497]) ).

thf(504,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV27: $i,SV19: $i,SV32: $i] :
      ( ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ~ ( ic @ SV34 ) )
        = $true )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(505,plain,
    ( ( iext @ uri_rdf_type @ uri_foaf_Person @ uri_owl_Class )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(506,plain,
    ( ( iext @ uri_owl_intersectionOf @ uri_ex_PersonAttribute @ sK6_SX0 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[500]) ).

thf(507,plain,
    ! [SV32: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV27: $i] :
      ( ( ( icext @ SV27 @ SV36 )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[501]) ).

thf(508,plain,
    ! [SV27: $i,SV30: $i,SV34: $i,SV33: $i,SV23: $i,SV19: $i,SV36: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ SV36 )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(509,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV32: $i,SV36: $i,SV27: $i] :
      ( ( ( icext @ SV27 @ SV36 )
        = $false )
      | ( ( ~ ( icext @ SV32 @ SV36 ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(510,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV32: $i,SV19: $i,SV27: $i,SV34: $i] :
      ( ( ( ic @ SV34 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ~ ! [SY128: $i] :
                ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                      | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                  | ~ ( icext @ SV32 @ SY128 ) )
                            | ~ ( icext @ SV34 @ SY128 ) )
                      | ( icext @ SV19 @ SY128 ) ) ) )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(511,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV34: $i,SV27: $i,SV36: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ SV36 )
        = $false )
      | ( ( icext @ SV27 @ SV36 )
        = $false )
      | ( ( ~ ( icext @ SV34 @ SV36 ) )
        = $true )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(512,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV34: $i,SV32: $i,SV27: $i,SV19: $i] :
      ( ( ( ! [SY128: $i] :
              ~ ( ~ ( ~ ( icext @ SV19 @ SY128 )
                    | ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                              | ~ ( icext @ SV32 @ SY128 ) )
                        | ~ ( icext @ SV34 @ SY128 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ SY128 )
                                | ~ ( icext @ SV32 @ SY128 ) )
                          | ~ ( icext @ SV34 @ SY128 ) )
                    | ( icext @ SV19 @ SY128 ) ) ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[510]) ).

thf(513,plain,
    ! [SV30: $i,SV33: $i,SV23: $i,SV19: $i,SV32: $i,SV27: $i,SV36: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ SV36 )
        = $false )
      | ( ( icext @ SV27 @ SV36 )
        = $false )
      | ( ( icext @ SV32 @ SV36 )
        = $false )
      | ( ( icext @ SV19 @ SV36 )
        = $true )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(514,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( ~ ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                  | ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                            | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                      | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                              | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                        | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                  | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[512]) ).

thf(515,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                        | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                  | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[514]) ).

thf(516,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
              | ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                        | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                  | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[515]) ).

thf(517,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
          | ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                    | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[516]) ).

thf(518,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( ~ ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[517]) ).

thf(519,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                    | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[517]) ).

thf(520,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(521,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
          | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(522,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                      | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
          | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(523,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[521]) ).

thf(524,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                      | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[522]) ).

thf(525,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[522]) ).

thf(526,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
              | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(527,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                    | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(528,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(529,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
          | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(530,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[528]) ).

thf(531,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(532,plain,
    ! [SV19: $i,SV27: $i,SV32: $i,SV23: $i,SV33: $i,SV30: $i,SV34: $i] :
      ( ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(533,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(534,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
              | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[531]) ).

thf(535,plain,
    ! [SV19: $i,SV27: $i,SV32: $i,SV23: $i,SV33: $i,SV30: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(536,plain,
    ! [SV19: $i,SV27: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(537,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(538,plain,
    ! [SV19: $i,SV27: $i,SV32: $i,SV23: $i,SV33: $i,SV30: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                    | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(539,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(540,plain,
    ! [SV19: $i,SV27: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV32: $i] :
      ( ( ( ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(541,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                      | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
          | ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(542,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[539]) ).

thf(543,plain,
    ! [SV19: $i,SV27: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(544,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                      | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
                | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(545,plain,
    ! [SV27: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV19: $i] :
      ( ( ( icext @ SV19 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(546,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                    | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
              | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(547,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
          | ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(548,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
                | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[547]) ).

thf(549,plain,
    ! [SV19: $i,SV27: $i,SV32: $i,SV23: $i,SV33: $i,SV30: $i,SV34: $i] :
      ( ( ( ~ ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[547]) ).

thf(550,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
              | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(551,plain,
    ! [SV19: $i,SV27: $i,SV32: $i,SV23: $i,SV33: $i,SV30: $i,SV34: $i] :
      ( ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(552,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
          | ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(553,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( ~ ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(554,plain,
    ! [SV19: $i,SV27: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV32: $i] :
      ( ( ( ~ ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) ) )
        = $false )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(555,plain,
    ! [SV19: $i,SV32: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV27: $i] :
      ( ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[553]) ).

thf(556,plain,
    ! [SV19: $i,SV27: $i,SV34: $i,SV23: $i,SV33: $i,SV30: $i,SV32: $i] :
      ( ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $true )
      | ( ( icext @ SV32 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV27 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( icext @ SV34 @ ( sK10_SY128 @ SV30 @ SV33 @ SV23 @ SV34 @ SV32 @ SV27 @ SV19 ) )
        = $false )
      | ( ( ic @ SV32 )
        = $false )
      | ( ( ic @ SV19 )
        = $false )
      | ( ( ic @ SV27 )
        = $false )
      | ( ( ic @ SV34 )
        = $false )
      | ( ( iext @ uri_owl_intersectionOf @ SV19 @ SV23 )
        = $true )
      | ( ( iext @ uri_rdf_first @ SV33 @ SV34 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV30 @ SV32 )
        = $false )
      | ( ( iext @ uri_rdf_first @ SV23 @ SV27 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV23 @ SV30 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV30 @ SV33 )
        = $false )
      | ( ( iext @ uri_rdf_rest @ SV33 @ uri_rdf_nil )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(557,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[299,556,555,551,545,543,542,535,525,513,508,507,506,505,492,490,489,488,470,468,451,449,434,422,411,403,395,387,379,371,369,368,350,335,334]) ).

thf(558,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[557,287]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19  % Computer : n010.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Oct  6 15:52:10 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.78/0.98  
% 3.78/0.98   No.of.Axioms: 5
% 3.78/0.98  
% 3.78/0.98   Length.of.Defs: 0
% 3.78/0.98  
% 3.78/0.98   Contains.Choice.Funs: false
% 3.78/0.98  ..........................
% 3.78/0.98  
% 3.78/0.98  ********************************
% 3.78/0.98  *   All subproblems solved!    *
% 3.78/0.98  ********************************
% 3.78/0.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:557,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.78/0.98  
% 3.78/0.98  %**** Beginning of derivation protocol ****
% 3.78/0.98  % SZS output start CNFRefutation
% See solution above
% 3.78/0.98  
% 3.78/0.98  %**** End of derivation protocol ****
% 3.78/0.98  %**** no. of clauses in derivation: 558 ****
% 3.78/0.98  %**** clause counter: 557 ****
% 3.78/0.98  
% 3.78/0.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:557,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------