TSTP Solution File: SWB017+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB017+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 : n029.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 19:13:18 EDT 2022

% Result   : Theorem 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  103 (  60 unt;  11 typ;   0 def)
%            Number of atoms       :  576 ( 159 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 1258 ( 242   ~; 184   |;  22   &; 806   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :  230 (   0   ^ 230   !;   0   ?; 230   :)

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

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

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

thf(tp_sK2_SY6,type,
    sK2_SY6: $i > $i > $i ).

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

thf(tp_uri_ex_notInstanceOf,type,
    uri_ex_notInstanceOf: $i ).

thf(tp_uri_ex_u,type,
    uri_ex_u: $i ).

thf(tp_uri_ex_w,type,
    uri_ex_w: $i ).

thf(tp_uri_owl_differentFrom,type,
    uri_owl_differentFrom: $i ).

thf(tp_uri_owl_propertyDisjointWith,type,
    uri_owl_propertyDisjointWith: $i ).

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

thf(1,axiom,
    ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
    & ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
    & ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

thf(2,axiom,
    ! [P1: $i,P2: $i] :
      ( ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
    <=> ( ( ip @ P1 )
        & ( ip @ P2 )
        & ! [X: $i,Y: $i] :
            ~ ( ( iext @ P1 @ X @ Y )
              & ( iext @ P2 @ X @ Y ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_differentFrom @ X @ Y )
    <=> ( X != Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

thf(4,conjecture,
    iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

thf(5,negated_conjecture,
    ( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
    = $false ),
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,plain,
    ( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
    = $false ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
      & ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
      & ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(8,plain,
    ( ( ! [P1: $i,P2: $i] :
          ( ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
        <=> ( ( ip @ P1 )
            & ( ip @ P2 )
            & ! [X: $i,Y: $i] :
                ~ ( ( iext @ P1 @ X @ Y )
                  & ( iext @ P2 @ X @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(9,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( iext @ uri_owl_differentFrom @ X @ Y )
        <=> ( X != Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(10,plain,
    ( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( ( ! [P1: $i,P2: $i] :
          ( ( ( iext @ P1 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) )
            & ( iext @ P2 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) ) )
          | ~ ( ip @ P1 )
          | ~ ( ip @ P2 )
          | ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 ) )
      & ! [P1: $i,P2: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ! [X: $i,Y: $i] :
              ( ~ ( iext @ P1 @ X @ Y )
              | ~ ( iext @ P2 @ X @ Y ) ) )
      & ! [P1: $i] :
          ( ! [P2: $i] :
              ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ( ip @ P1 ) )
      & ! [P1: $i,P2: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ( ip @ P2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(12,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( iext @ uri_owl_differentFrom @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( iext @ uri_owl_differentFrom @ X @ Y )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(13,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( iext @ uri_owl_differentFrom @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( iext @ uri_owl_differentFrom @ X @ Y )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(14,plain,
    ( ( ! [P1: $i,P2: $i] :
          ( ( ( iext @ P1 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) )
            & ( iext @ P2 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) ) )
          | ~ ( ip @ P1 )
          | ~ ( ip @ P2 )
          | ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 ) )
      & ! [P1: $i,P2: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ! [X: $i,Y: $i] :
              ( ~ ( iext @ P1 @ X @ Y )
              | ~ ( iext @ P2 @ X @ Y ) ) )
      & ! [P1: $i] :
          ( ! [P2: $i] :
              ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ( ip @ P1 ) )
      & ! [P1: $i,P2: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
          | ( ip @ P2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(15,plain,
    ( ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
      & ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
      & ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(16,plain,
    ( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(17,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
                    | ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
                | ~ ( ip @ SX0 )
                | ~ ( ip @ SX1 )
                | ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                      | ! [SX2: $i,SX3: $i] :
                          ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                          | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
                | ~ ~ ( ~ ! [SX0: $i] :
                            ( ! [SX1: $i] :
                                ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                            | ( ip @ SX0 ) )
                      | ~ ! [SX0: $i,SX1: $i] :
                            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                            | ( ip @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(18,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(19,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
                | ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
          | ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(20,plain,
    ( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[16]) ).

thf(21,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
                | ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
            | ~ ( ip @ SX0 )
            | ~ ( ip @ SX1 )
            | ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                      | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                        | ( ip @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                        | ( ip @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(22,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[18]) ).

thf(23,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
            | ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
      | ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
                | ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
            | ~ ( ip @ SX0 )
            | ~ ( ip @ SX1 )
            | ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(25,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                      | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX0: $i] :
                        ( ! [SX1: $i] :
                            ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                        | ( ip @ SX0 ) )
                  | ~ ! [SX0: $i,SX1: $i] :
                        ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                        | ( ip @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(26,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[22]) ).

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

thf(28,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
            | ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[23]) ).

thf(29,plain,
    ( ( ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[23]) ).

thf(30,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
              | ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
          | ~ ( ip @ SX0 )
          | ~ ( ip @ SX1 )
          | ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[24]) ).

thf(31,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                | ! [SX2: $i,SX3: $i] :
                    ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                    | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
          | ~ ~ ( ~ ! [SX0: $i] :
                      ( ! [SX1: $i] :
                          ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                      | ( ip @ SX0 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                      | ( ip @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[25]) ).

thf(32,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[26]) ).

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

thf(34,plain,
    ( ( ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
          | ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(35,plain,
    ( ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(36,plain,
    ! [SV1: $i] :
      ( ( ! [SY7: $i] :
            ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SY7 @ SV1 ) @ ( sK2_SY6 @ SY7 @ SV1 ) )
                | ~ ( iext @ SY7 @ ( sK1_X @ SY7 @ SV1 ) @ ( sK2_SY6 @ SY7 @ SV1 ) ) )
            | ~ ( ip @ SV1 )
            | ~ ( ip @ SY7 )
            | ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SY7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(37,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
      | ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ( ip @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ( ip @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(38,plain,
    ! [SV2: $i] :
      ( ( ! [SY8: $i] :
            ( ( SV2 = SY8 )
            | ( iext @ uri_owl_differentFrom @ SV2 @ SY8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(39,plain,
    ! [SV3: $i] :
      ( ( ! [SY9: $i] :
            ( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SY9 )
            | ( SV3 != SY9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[33]) ).

thf(40,plain,
    ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
      | ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(41,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
            | ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
        | ~ ( ip @ SV1 )
        | ~ ( ip @ SV4 )
        | ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(42,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( iext @ SX0 @ SX2 @ SX3 )
                | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(43,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ! [SX1: $i] :
                      ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ( ip @ SX0 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                  | ( ip @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(44,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        | ( iext @ uri_owl_differentFrom @ SV2 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(45,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
        | ( SV3 != SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(46,plain,
    ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[40]) ).

thf(47,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[40]) ).

thf(48,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
              | ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
          | ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[41]) ).

thf(49,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
          | ! [SX2: $i,SX3: $i] :
              ( ~ ( iext @ SX0 @ SX2 @ SX3 )
              | ~ ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[42]) ).

thf(50,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                | ( ip @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
                | ( ip @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[43]) ).

thf(51,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        = $true )
      | ( ( iext @ uri_owl_differentFrom @ SV2 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[44]) ).

thf(52,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SV6 ) )
        = $true )
      | ( ( ( SV3 != SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(53,plain,
    ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(54,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[47]) ).

thf(55,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
              | ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(56,plain,
    ! [SV7: $i] :
      ( ( ! [SY10: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SY10 )
            | ! [SY11: $i,SY12: $i] :
                ( ~ ( iext @ SV7 @ SY11 @ SY12 )
                | ~ ( iext @ SY10 @ SY11 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(57,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ( ip @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ( ip @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
        = $false )
      | ( ( ( SV3 != SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(59,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
          | ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(60,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        | ! [SY13: $i,SY14: $i] :
            ( ~ ( iext @ SV7 @ SY13 @ SY14 )
            | ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(61,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ( ip @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[57]) ).

thf(62,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
            | ( ip @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[57]) ).

thf(63,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ( SV3 = SV6 )
        = $false )
      | ( ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(64,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(65,plain,
    ! [SV1: $i,SV4: $i] :
      ( ( ( ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 ) )
        = $true )
      | ( ( ! [SY13: $i,SY14: $i] :
              ( ~ ( iext @ SV7 @ SY13 @ SY14 )
              | ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(67,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
          | ( ip @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(68,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
          | ( ip @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[64]) ).

thf(70,plain,
    ! [SV1: $i,SV4: $i] :
      ( ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( ~ ( ip @ SV1 )
          | ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[65]) ).

thf(71,plain,
    ! [SV8: $i,SV7: $i] :
      ( ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false )
      | ( ( ! [SY13: $i,SY14: $i] :
              ( ~ ( iext @ SV7 @ SY13 @ SY14 )
              | ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(72,plain,
    ! [SV9: $i] :
      ( ( ! [SY15: $i] :
            ~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SY15 )
        | ( ip @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(73,plain,
    ! [SV10: $i] :
      ( ( ! [SY16: $i] :
            ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SY16 )
            | ( ip @ SY16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(74,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( ip @ SV1 ) )
        = $true )
      | ( ( ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(75,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ~ ( ip @ SV1 ) )
        = $true )
      | ( ( ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(76,plain,
    ! [SV8: $i,SV11: $i,SV7: $i] :
      ( ( ( ! [SY17: $i] :
              ( ~ ( iext @ SV7 @ SV11 @ SY17 )
              | ~ ( iext @ SV8 @ SV11 @ SY17 ) ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(77,plain,
    ! [SV9: $i] :
      ( ( ( ! [SY15: $i] :
              ~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SY15 ) )
        = $true )
      | ( ( ip @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(78,plain,
    ! [SV12: $i,SV10: $i] :
      ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 )
        | ( ip @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[73]) ).

thf(79,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ip @ SV1 )
        = $false )
      | ( ( ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(80,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ( ip @ SV1 )
        = $false )
      | ( ( ~ ( ip @ SV4 ) )
        = $true )
      | ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(81,plain,
    ! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
      ( ( ( ~ ( iext @ SV7 @ SV11 @ SV13 )
          | ~ ( iext @ SV8 @ SV11 @ SV13 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(82,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SV14 ) )
        = $true )
      | ( ( ip @ SV9 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(83,plain,
    ! [SV12: $i,SV10: $i] :
      ( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 ) )
        = $true )
      | ( ( ip @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(84,plain,
    ! [SV1: $i,SV4: $i] :
      ( ( ( ip @ SV4 )
        = $false )
      | ( ( ip @ SV1 )
        = $false )
      | ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(85,plain,
    ! [SV1: $i,SV4: $i] :
      ( ( ( ip @ SV4 )
        = $false )
      | ( ( ip @ SV1 )
        = $false )
      | ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(86,plain,
    ! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
      ( ( ( ~ ( iext @ SV7 @ SV11 @ SV13 ) )
        = $true )
      | ( ( ~ ( iext @ SV8 @ SV11 @ SV13 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(87,plain,
    ! [SV14: $i,SV9: $i] :
      ( ( ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SV14 )
        = $false )
      | ( ( ip @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(88,plain,
    ! [SV12: $i,SV10: $i] :
      ( ( ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 )
        = $false )
      | ( ( ip @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(89,plain,
    ! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
      ( ( ( iext @ SV7 @ SV11 @ SV13 )
        = $false )
      | ( ( ~ ( iext @ SV8 @ SV11 @ SV13 ) )
        = $true )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(90,plain,
    ! [SV7: $i,SV13: $i,SV11: $i,SV8: $i] :
      ( ( ( iext @ SV8 @ SV11 @ SV13 )
        = $false )
      | ( ( iext @ SV7 @ SV11 @ SV13 )
        = $false )
      | ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(91,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[20,90,88,87,85,84,63,54,53,51,35]) ).

thf(92,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  1 11:30:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 3
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.41  
% 0.19/0.41  ********************************
% 0.19/0.41  *   All subproblems solved!    *
% 0.19/0.41  ********************************
% 0.19/0.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41  
% 0.19/0.41  %**** Beginning of derivation protocol ****
% 0.19/0.41  % SZS output start CNFRefutation
% See solution above
% 0.19/0.41  
% 0.19/0.41  %**** End of derivation protocol ****
% 0.19/0.41  %**** no. of clauses in derivation: 92 ****
% 0.19/0.41  %**** clause counter: 91 ****
% 0.19/0.41  
% 0.19/0.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------