TSTP Solution File: SWB008+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 19:13:11 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  123 (  69 unt;  15 typ;   0 def)
%            Number of atoms       :  661 ( 217 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 1307 ( 271   ~; 200   |;  25   &; 803   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;  10 con; 0-3 aty)
%            Number of variables   :  207 (   0   ^ 207   !;   0   ?; 207   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_dat_str_xyz,type,
    dat_str_xyz: $i ).

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

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

thf(tp_ip,type,
    ip: $i > $o ).

thf(tp_literal_plain,type,
    literal_plain: $i > $i ).

thf(tp_sK1_X1,type,
    sK1_X1: $i > $i ).

thf(tp_sK2_SY8,type,
    sK2_SY8: $i > $i ).

thf(tp_sK3_SY10,type,
    sK3_SY10: $i > $i ).

thf(tp_uri_ex_bob,type,
    uri_ex_bob: $i ).

thf(tp_uri_ex_robert,type,
    uri_ex_robert: $i ).

thf(tp_uri_foaf_mbox_sha1sum,type,
    uri_foaf_mbox_sha1sum: $i ).

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

thf(tp_uri_owl_InverseFunctionalProperty,type,
    uri_owl_InverseFunctionalProperty: $i ).

thf(tp_uri_owl_sameAs,type,
    uri_owl_sameAs: $i ).

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

thf(1,axiom,
    ( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
    & ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
    & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
    & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

thf(2,axiom,
    ! [P: $i] :
      ( ( icext @ uri_owl_InverseFunctionalProperty @ P )
    <=> ( ( ip @ P )
        & ! [X1: $i,X2: $i,Y: $i] :
            ( ( ( iext @ P @ X1 @ Y )
              & ( iext @ P @ X2 @ Y ) )
           => ( X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_sameAs @ X @ Y )
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

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

thf(5,conjecture,
    iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

thf(6,negated_conjecture,
    ( ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert )
    = $false ),
    inference(negate_conjecture,[status(cth)],[5]) ).

thf(7,plain,
    ( ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert )
    = $false ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
      & ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
      & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
      & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(9,plain,
    ( ( ! [P: $i] :
          ( ( icext @ uri_owl_InverseFunctionalProperty @ P )
        <=> ( ( ip @ P )
            & ! [X1: $i,X2: $i,Y: $i] :
                ( ( ( iext @ P @ X1 @ Y )
                  & ( iext @ P @ X2 @ Y ) )
               => ( X1 = X2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(10,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( iext @ uri_owl_sameAs @ X @ Y )
        <=> ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

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

thf(12,plain,
    ( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(13,plain,
    ( ( ! [P: $i] :
          ( ( ( iext @ P @ ( sK1_X1 @ P ) @ ( sK3_SY10 @ P ) )
            & ( iext @ P @ ( sK2_SY8 @ P ) @ ( sK3_SY10 @ P ) )
            & ( ( sK1_X1 @ P )
             != ( sK2_SY8 @ P ) ) )
          | ~ ( ip @ P )
          | ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
      & ! [P: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
          | ! [X1: $i,X2: $i] :
              ( ! [Y: $i] :
                  ( ~ ( iext @ P @ X1 @ Y )
                  | ~ ( iext @ P @ X2 @ Y ) )
              | ( X1 = X2 ) ) )
      & ! [P: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
          | ( ip @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(14,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( iext @ uri_owl_sameAs @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( iext @ uri_owl_sameAs @ X @ Y )
          | ( X = Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(15,plain,
    ( ( ! [X: $i,C: $i] :
          ( ~ ( icext @ C @ X )
          | ( iext @ uri_rdf_type @ X @ C ) )
      & ! [X: $i,C: $i] :
          ( ~ ( iext @ uri_rdf_type @ X @ C )
          | ( icext @ C @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(16,plain,
    ( ( ! [X: $i,C: $i] :
          ( ~ ( icext @ C @ X )
          | ( iext @ uri_rdf_type @ X @ C ) )
      & ! [X: $i,C: $i] :
          ( ~ ( iext @ uri_rdf_type @ X @ C )
          | ( icext @ C @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(17,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( iext @ uri_owl_sameAs @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( iext @ uri_owl_sameAs @ X @ Y )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(18,plain,
    ( ( ! [P: $i] :
          ( ( ( iext @ P @ ( sK1_X1 @ P ) @ ( sK3_SY10 @ P ) )
            & ( iext @ P @ ( sK2_SY8 @ P ) @ ( sK3_SY10 @ P ) )
            & ( ( sK1_X1 @ P )
             != ( sK2_SY8 @ P ) ) )
          | ~ ( ip @ P )
          | ( icext @ uri_owl_InverseFunctionalProperty @ P ) )
      & ! [P: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
          | ! [X1: $i,X2: $i] :
              ( ! [Y: $i] :
                  ( ~ ( iext @ P @ X1 @ Y )
                  | ~ ( iext @ P @ X2 @ Y ) )
              | ( X1 = X2 ) ) )
      & ! [P: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ P )
          | ( ip @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(19,plain,
    ( ( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
      & ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
      & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
      & ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(20,plain,
    ( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(21,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( icext @ SX1 @ SX0 )
                | ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
                | ( icext @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(22,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(23,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
                      | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
                | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) )
          | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK1_X1 @ SX0 ) @ ( sK3_SY10 @ SX0 ) )
                          | ~ ( iext @ SX0 @ ( sK2_SY8 @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) )
                    | ~ ( ( ( sK1_X1 @ SX0 )
                         != ( sK2_SY8 @ SX0 ) ) ) )
                | ~ ( ip @ SX0 )
                | ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                      | ! [SX1: $i,SX2: $i] :
                          ( ! [SX3: $i] :
                              ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                              | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                          | ( SX1 = SX2 ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                      | ( ip @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(25,plain,
    ( ( iext @ uri_owl_sameAs @ uri_ex_bob @ uri_ex_robert )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[20]) ).

thf(26,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(27,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(28,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
                  | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
            | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) )
      | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(29,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK1_X1 @ SX0 ) @ ( sK3_SY10 @ SX0 ) )
                      | ~ ( iext @ SX0 @ ( sK2_SY8 @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) )
                | ~ ( ( ( sK1_X1 @ SX0 )
                     != ( sK2_SY8 @ SX0 ) ) ) )
            | ~ ( ip @ SX0 )
            | ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                  | ! [SX1: $i,SX2: $i] :
                      ( ! [SX3: $i] :
                          ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                          | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                      | ( SX1 = SX2 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                  | ( ip @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(30,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( icext @ SX1 @ SX0 )
            | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(31,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
            | ( icext @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(32,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(33,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(34,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
                  | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
            | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(35,plain,
    ( ( ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[28]) ).

thf(36,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK1_X1 @ SX0 ) @ ( sK3_SY10 @ SX0 ) )
                      | ~ ( iext @ SX0 @ ( sK2_SY8 @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) )
                | ~ ( ( ( sK1_X1 @ SX0 )
                     != ( sK2_SY8 @ SX0 ) ) ) )
            | ~ ( ip @ SX0 )
            | ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(37,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                  | ! [SX1: $i,SX2: $i] :
                      ( ! [SX3: $i] :
                          ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                          | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                      | ( SX1 = SX2 ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                  | ( ip @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(38,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( icext @ SX1 @ SX0 )
          | ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(39,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
          | ( icext @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[31]) ).

thf(40,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[32]) ).

thf(41,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(42,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
                | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
          | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(43,plain,
    ( ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_robert @ ( literal_plain @ dat_str_xyz ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(44,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ~ ( ~ ( iext @ SX0 @ ( sK1_X1 @ SX0 ) @ ( sK3_SY10 @ SX0 ) )
                    | ~ ( iext @ SX0 @ ( sK2_SY8 @ SX0 ) @ ( sK3_SY10 @ SX0 ) ) )
              | ~ ( ( ( sK1_X1 @ SX0 )
                   != ( sK2_SY8 @ SX0 ) ) ) )
          | ~ ( ip @ SX0 )
          | ( icext @ uri_owl_InverseFunctionalProperty @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(45,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                | ! [SX1: $i,SX2: $i] :
                    ( ! [SX3: $i] :
                        ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                        | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                    | ( SX1 = SX2 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
                | ( ip @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[37]) ).

thf(46,plain,
    ! [SV1: $i] :
      ( ( ! [SY11: $i] :
            ( ~ ( icext @ SY11 @ SV1 )
            | ( iext @ uri_rdf_type @ SV1 @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(47,plain,
    ! [SV2: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ( iext @ uri_rdf_type @ SV2 @ SY12 )
            | ( icext @ SY12 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(48,plain,
    ! [SV3: $i] :
      ( ( ! [SY13: $i] :
            ( ( SV3 != SY13 )
            | ( iext @ uri_owl_sameAs @ SV3 @ SY13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(49,plain,
    ! [SV4: $i] :
      ( ( ! [SY14: $i] :
            ( ~ ( iext @ uri_owl_sameAs @ SV4 @ SY14 )
            | ( SV4 = SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(50,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
            | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
      | ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(51,plain,
    ! [SV5: $i] :
      ( ( ~ ( ~ ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
                  | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
            | ~ ( ( ( sK1_X1 @ SV5 )
                 != ( sK2_SY8 @ SV5 ) ) ) )
        | ~ ( ip @ SV5 )
        | ( icext @ uri_owl_InverseFunctionalProperty @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(52,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
            | ! [SX1: $i,SX2: $i] :
                ( ! [SX3: $i] :
                    ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                    | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                | ( SX1 = SX2 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
            | ( ip @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV1: $i,SV6: $i] :
      ( ( ~ ( icext @ SV6 @ SV1 )
        | ( iext @ uri_rdf_type @ SV1 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(54,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( ~ ( iext @ uri_rdf_type @ SV2 @ SV7 )
        | ( icext @ SV7 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(55,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( SV3 != SV8 )
        | ( iext @ uri_owl_sameAs @ SV3 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(56,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ~ ( iext @ uri_owl_sameAs @ SV4 @ SV9 )
        | ( SV4 = SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(57,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
            | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(58,plain,
    ( ( ~ ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[50]) ).

thf(59,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
                    | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
              | ~ ( ( ( sK1_X1 @ SV5 )
                   != ( sK2_SY8 @ SV5 ) ) ) )
          | ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(60,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
            | ! [SX1: $i,SX2: $i] :
                ( ! [SX3: $i] :
                    ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                    | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
                | ( SX1 = SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(61,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
            | ( ip @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(62,plain,
    ! [SV1: $i,SV6: $i] :
      ( ( ( ~ ( icext @ SV6 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_rdf_type @ SV1 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(63,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( ( ~ ( iext @ uri_rdf_type @ SV2 @ SV7 ) )
        = $true )
      | ( ( icext @ SV7 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(64,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( ( SV3 != SV8 ) )
        = $true )
      | ( ( iext @ uri_owl_sameAs @ SV3 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(65,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( ~ ( iext @ uri_owl_sameAs @ SV4 @ SV9 ) )
        = $true )
      | ( ( SV4 = SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(66,plain,
    ( ( ~ ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
          | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(67,plain,
    ( ( iext @ uri_foaf_mbox_sha1sum @ uri_ex_bob @ ( literal_plain @ dat_str_xyz ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(68,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
                    | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
              | ~ ( ( ( sK1_X1 @ SV5 )
                   != ( sK2_SY8 @ SV5 ) ) ) ) )
        = $true )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(69,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
          | ! [SX1: $i,SX2: $i] :
              ( ! [SX3: $i] :
                  ( ~ ( iext @ SX0 @ SX1 @ SX3 )
                  | ~ ( iext @ SX0 @ SX2 @ SX3 ) )
              | ( SX1 = SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(70,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SX0 )
          | ( ip @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(71,plain,
    ! [SV1: $i,SV6: $i] :
      ( ( ( icext @ SV6 @ SV1 )
        = $false )
      | ( ( iext @ uri_rdf_type @ SV1 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(72,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( ( iext @ uri_rdf_type @ SV2 @ SV7 )
        = $false )
      | ( ( icext @ SV7 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(73,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( SV3 = SV8 )
        = $false )
      | ( ( iext @ uri_owl_sameAs @ SV3 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(74,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( iext @ uri_owl_sameAs @ SV4 @ SV9 )
        = $false )
      | ( ( SV4 = SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(75,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
      | ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(76,plain,
    ! [SV5: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
                | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
          | ~ ( ( ( sK1_X1 @ SV5 )
               != ( sK2_SY8 @ SV5 ) ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(77,plain,
    ! [SV10: $i] :
      ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        | ! [SY15: $i,SY16: $i] :
            ( ! [SY17: $i] :
                ( ~ ( iext @ SV10 @ SY15 @ SY17 )
                | ~ ( iext @ SV10 @ SY16 @ SY17 ) )
            | ( SY15 = SY16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(78,plain,
    ! [SV11: $i] :
      ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV11 )
        | ( ip @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(79,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[75]) ).

thf(80,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[75]) ).

thf(81,plain,
    ! [SV5: $i] :
      ( ( ( ~ ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
                | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(82,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( ( ( sK1_X1 @ SV5 )
               != ( sK2_SY8 @ SV5 ) ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(83,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV10 ) )
        = $true )
      | ( ( ! [SY15: $i,SY16: $i] :
              ( ! [SY17: $i] :
                  ( ~ ( iext @ SV10 @ SY15 @ SY17 )
                  | ~ ( iext @ SV10 @ SY16 @ SY17 ) )
              | ( SY15 = SY16 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(84,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( icext @ uri_owl_InverseFunctionalProperty @ SV11 ) )
        = $true )
      | ( ( ip @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(85,plain,
    ( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_DatatypeProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[79]) ).

thf(86,plain,
    ( ( iext @ uri_rdf_type @ uri_foaf_mbox_sha1sum @ uri_owl_InverseFunctionalProperty )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[80]) ).

thf(87,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
              | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) ) )
        = $true )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(88,plain,
    ! [SV5: $i] :
      ( ( ( ( ( sK1_X1 @ SV5 )
           != ( sK2_SY8 @ SV5 ) ) )
        = $true )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(89,plain,
    ! [SV10: $i] :
      ( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false )
      | ( ( ! [SY15: $i,SY16: $i] :
              ( ! [SY17: $i] :
                  ( ~ ( iext @ SV10 @ SY15 @ SY17 )
                  | ~ ( iext @ SV10 @ SY16 @ SY17 ) )
              | ( SY15 = SY16 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(90,plain,
    ! [SV11: $i] :
      ( ( ( icext @ uri_owl_InverseFunctionalProperty @ SV11 )
        = $false )
      | ( ( ip @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(91,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
          | ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(92,plain,
    ! [SV5: $i] :
      ( ( ( ( sK1_X1 @ SV5 )
          = ( sK2_SY8 @ SV5 ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(93,plain,
    ! [SV12: $i,SV10: $i] :
      ( ( ( ! [SY18: $i] :
              ( ! [SY19: $i] :
                  ( ~ ( iext @ SV10 @ SV12 @ SY19 )
                  | ~ ( iext @ SV10 @ SY18 @ SY19 ) )
              | ( SV12 = SY18 ) ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(94,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(95,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(96,plain,
    ! [SV5: $i] :
      ( ( ( ip @ SV5 )
        = $false )
      | ( ( ( sK1_X1 @ SV5 )
          = ( sK2_SY8 @ SV5 ) )
        = $false )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(97,plain,
    ! [SV13: $i,SV12: $i,SV10: $i] :
      ( ( ( ! [SY20: $i] :
              ( ~ ( iext @ SV10 @ SV12 @ SY20 )
              | ~ ( iext @ SV10 @ SV13 @ SY20 ) )
          | ( SV12 = SV13 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(98,plain,
    ! [SV5: $i] :
      ( ( ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
        = $true )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(99,plain,
    ! [SV5: $i] :
      ( ( ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
        = $true )
      | ( ( ~ ( ip @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(100,plain,
    ! [SV13: $i,SV12: $i,SV10: $i] :
      ( ( ( ! [SY20: $i] :
              ( ~ ( iext @ SV10 @ SV12 @ SY20 )
              | ~ ( iext @ SV10 @ SV13 @ SY20 ) ) )
        = $true )
      | ( ( SV12 = SV13 )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[97]) ).

thf(101,plain,
    ! [SV5: $i] :
      ( ( ( ip @ SV5 )
        = $false )
      | ( ( iext @ SV5 @ ( sK1_X1 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(102,plain,
    ! [SV5: $i] :
      ( ( ( ip @ SV5 )
        = $false )
      | ( ( iext @ SV5 @ ( sK2_SY8 @ SV5 ) @ ( sK3_SY10 @ SV5 ) )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[99]) ).

thf(103,plain,
    ! [SV13: $i,SV14: $i,SV12: $i,SV10: $i] :
      ( ( ( ~ ( iext @ SV10 @ SV12 @ SV14 )
          | ~ ( iext @ SV10 @ SV13 @ SV14 ) )
        = $true )
      | ( ( SV12 = SV13 )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(104,plain,
    ! [SV13: $i,SV14: $i,SV12: $i,SV10: $i] :
      ( ( ( ~ ( iext @ SV10 @ SV12 @ SV14 ) )
        = $true )
      | ( ( ~ ( iext @ SV10 @ SV13 @ SV14 ) )
        = $true )
      | ( ( SV12 = SV13 )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[103]) ).

thf(105,plain,
    ! [SV13: $i,SV14: $i,SV12: $i,SV10: $i] :
      ( ( ( iext @ SV10 @ SV12 @ SV14 )
        = $false )
      | ( ( ~ ( iext @ SV10 @ SV13 @ SV14 ) )
        = $true )
      | ( ( SV12 = SV13 )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(106,plain,
    ! [SV12: $i,SV14: $i,SV13: $i,SV10: $i] :
      ( ( ( iext @ SV10 @ SV13 @ SV14 )
        = $false )
      | ( ( iext @ SV10 @ SV12 @ SV14 )
        = $false )
      | ( ( SV12 = SV13 )
        = $true )
      | ( ( icext @ uri_owl_InverseFunctionalProperty @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(107,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[25,106,102,101,96,90,86,85,74,73,72,71,67,43]) ).

thf(108,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 02:37:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 4
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.20/0.42  
% 0.20/0.42  ********************************
% 0.20/0.42  *   All subproblems solved!    *
% 0.20/0.42  ********************************
% 0.20/0.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:107,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.42  
% 0.20/0.42  %**** Beginning of derivation protocol ****
% 0.20/0.42  % SZS output start CNFRefutation
% See solution above
% 0.20/0.42  
% 0.20/0.42  %**** End of derivation protocol ****
% 0.20/0.42  %**** no. of clauses in derivation: 108 ****
% 0.20/0.42  %**** clause counter: 107 ****
% 0.20/0.42  
% 0.20/0.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:107,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------