TSTP Solution File: SWB062+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB062+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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  : 300s
% DateTime : Thu Aug 31 20:09:36 EDT 2023

% Result   : Theorem 210.41s 28.84s
% Output   : CNFRefutation 210.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  102 (  36 unt;   0 def)
%            Number of atoms       :  465 (  42 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  526 ( 163   ~; 168   |; 170   &)
%                                         (  16 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  22 con; 0-2 aty)
%            Number of variables   :  217 (   4 sgn; 126   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f295,axiom,
    ! [X10,X11,X20] :
      ( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
        & iext(uri_rdf_first,X11,X20) )
     => ( iext(uri_owl_oneOf,X10,X11)
      <=> ( ! [X3] :
              ( icext(X10,X3)
            <=> X3 = X20 )
          & ic(X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f342,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_range,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X6) )
        & ip(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).

fof(f345,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_differentFrom,X3,X6)
    <=> X3 != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f353,axiom,
    ! [X32,X33] :
      ( iext(uri_owl_propertyDisjointWith,X32,X33)
    <=> ( ! [X3,X6] :
            ~ ( iext(X33,X3,X6)
              & iext(X32,X3,X6) )
        & ip(X33)
        & ip(X32) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f559,conjecture,
    iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_disprop_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ? [X36,X37,X41,X42] :
      ( iext(uri_owl_oneOf,uri_ex_x2,X36)
      & iext(uri_rdf_rest,X37,uri_rdf_nil)
      & iext(uri_rdf_first,X37,uri_ex_s1)
      & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
      & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
      & iext(uri_rdf_rest,X42,uri_rdf_nil)
      & iext(uri_rdf_first,X42,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_y2,X42)
      & iext(uri_owl_oneOf,uri_ex_x1,X37)
      & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
      & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
      & iext(uri_rdf_rest,X36,uri_rdf_nil)
      & iext(uri_rdf_first,X36,uri_ex_s2)
      & iext(uri_rdf_rest,X41,uri_rdf_nil)
      & iext(uri_rdf_first,X41,uri_ex_o1)
      & iext(uri_owl_oneOf,uri_ex_y1,X41)
      & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
      & iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_disprop_ext) ).

fof(f706,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) ) ),
    inference(rectify,[],[f295]) ).

fof(f753,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f342]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    inference(rectify,[],[f345]) ).

fof(f764,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ~ ( iext(X1,X2,X3)
              & iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f353]) ).

fof(f920,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(flattening,[],[f560]) ).

fof(f921,plain,
    ? [X0,X1,X2,X3] :
      ( iext(uri_owl_oneOf,uri_ex_x2,X0)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_s1)
      & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
      & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_y2,X3)
      & iext(uri_owl_oneOf,uri_ex_x1,X1)
      & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
      & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_s2)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X2,uri_ex_o1)
      & iext(uri_owl_oneOf,uri_ex_y1,X2)
      & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
      & iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1) ),
    inference(rectify,[],[f561]) ).

fof(f922,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1046,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f706]) ).

fof(f1047,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1046]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f753]) ).

fof(f1149,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f764]) ).

fof(f1498,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(nnf_transformation,[],[f1047]) ).

fof(f1499,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1498]) ).

fof(f1500,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(rectify,[],[f1499]) ).

fof(f1501,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK62(X0,X2) != X2
          | ~ icext(X0,sK62(X0,X2)) )
        & ( sK62(X0,X2) = X2
          | icext(X0,sK62(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1502,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK62(X0,X2) != X2
              | ~ icext(X0,sK62(X0,X2)) )
            & ( sK62(X0,X2) = X2
              | icext(X0,sK62(X0,X2)) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1500,f1501]) ).

fof(f1715,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f1139]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f1715]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f1716]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X1,X3)
          & iext(X0,X2,X3) )
     => ( ~ icext(X1,sK166(X0,X1))
        & iext(X0,sK165(X0,X1),sK166(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1719,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ( ~ icext(X1,sK166(X0,X1))
          & iext(X0,sK165(X0,X1),sK166(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK165,sK166])],[f1717,f1718]) ).

fof(f1730,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f756]) ).

fof(f1775,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f1149]) ).

fof(f1776,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f1775]) ).

fof(f1777,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(rectify,[],[f1776]) ).

fof(f1778,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X1,X2,X3)
          & iext(X0,X2,X3) )
     => ( iext(X1,sK178(X0,X1),sK179(X0,X1))
        & iext(X0,sK178(X0,X1),sK179(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ( iext(X1,sK178(X0,X1),sK179(X0,X1))
          & iext(X0,sK178(X0,X1),sK179(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X1,X4,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK178,sK179])],[f1777,f1778]) ).

fof(f1920,plain,
    ( ? [X0,X1,X2,X3] :
        ( iext(uri_owl_oneOf,uri_ex_x2,X0)
        & iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,uri_ex_s1)
        & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
        & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
        & iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_first,X3,uri_ex_o2)
        & iext(uri_owl_oneOf,uri_ex_y2,X3)
        & iext(uri_owl_oneOf,uri_ex_x1,X1)
        & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
        & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
        & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
        & iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdf_first,X0,uri_ex_s2)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_first,X2,uri_ex_o1)
        & iext(uri_owl_oneOf,uri_ex_y1,X2)
        & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
        & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
        & iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1) )
   => ( iext(uri_owl_oneOf,uri_ex_x2,sK251)
      & iext(uri_rdf_rest,sK252,uri_rdf_nil)
      & iext(uri_rdf_first,sK252,uri_ex_s1)
      & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
      & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
      & iext(uri_rdf_rest,sK254,uri_rdf_nil)
      & iext(uri_rdf_first,sK254,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_y2,sK254)
      & iext(uri_owl_oneOf,uri_ex_x1,sK252)
      & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
      & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
      & iext(uri_rdf_rest,sK251,uri_rdf_nil)
      & iext(uri_rdf_first,sK251,uri_ex_s2)
      & iext(uri_rdf_rest,sK253,uri_rdf_nil)
      & iext(uri_rdf_first,sK253,uri_ex_o1)
      & iext(uri_owl_oneOf,uri_ex_y1,sK253)
      & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
      & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
      & iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1) ) ),
    introduced(choice_axiom,[]) ).

fof(f1921,plain,
    ( iext(uri_owl_oneOf,uri_ex_x2,sK251)
    & iext(uri_rdf_rest,sK252,uri_rdf_nil)
    & iext(uri_rdf_first,sK252,uri_ex_s1)
    & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
    & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
    & iext(uri_rdf_rest,sK254,uri_rdf_nil)
    & iext(uri_rdf_first,sK254,uri_ex_o2)
    & iext(uri_owl_oneOf,uri_ex_y2,sK254)
    & iext(uri_owl_oneOf,uri_ex_x1,sK252)
    & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
    & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
    & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
    & iext(uri_rdf_rest,sK251,uri_rdf_nil)
    & iext(uri_rdf_first,sK251,uri_ex_s2)
    & iext(uri_rdf_rest,sK253,uri_rdf_nil)
    & iext(uri_rdf_first,sK253,uri_ex_o1)
    & iext(uri_owl_oneOf,uri_ex_y1,sK253)
    & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
    & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
    & iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254])],[f921,f1920]) ).

fof(f1922,plain,
    ! [X2,X0,X1] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(cnf_transformation,[],[f922]) ).

fof(f2379,plain,
    ! [X2,X0,X1,X4] :
      ( X2 = X4
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f1502]) ).

fof(f2767,plain,
    ! [X0,X1] :
      ( ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f1719]) ).

fof(f2769,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X1,X5)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f1719]) ).

fof(f2782,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[],[f1730]) ).

fof(f2856,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
      | iext(X0,sK178(X0,X1),sK179(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1779]) ).

fof(f2857,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
      | iext(X1,sK178(X0,X1),sK179(X0,X1))
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1779]) ).

fof(f3211,plain,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(cnf_transformation,[],[f920]) ).

fof(f3213,plain,
    iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3214,plain,
    iext(uri_ex_p2,uri_ex_s2,uri_ex_o2),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3215,plain,
    iext(uri_owl_oneOf,uri_ex_y1,sK253),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3216,plain,
    iext(uri_rdf_first,sK253,uri_ex_o1),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3217,plain,
    iext(uri_rdf_rest,sK253,uri_rdf_nil),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3221,plain,
    iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3222,plain,
    iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3224,plain,
    iext(uri_owl_oneOf,uri_ex_y2,sK254),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3225,plain,
    iext(uri_rdf_first,sK254,uri_ex_o2),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3226,plain,
    iext(uri_rdf_rest,sK254,uri_rdf_nil),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3227,plain,
    iext(uri_ex_p1,uri_ex_s1,uri_ex_o1),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3238,plain,
    ! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
    inference(equality_resolution,[],[f2782]) ).

cnf(c_49,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(cnf_transformation,[],[f1922]) ).

cnf(c_508,plain,
    ( ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_owl_oneOf,X2,X0)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ icext(X2,X3)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f2379]) ).

cnf(c_896,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(uri_rdfs_range,X0,X3)
    | icext(X3,X2) ),
    inference(cnf_transformation,[],[f2769]) ).

cnf(c_898,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ip(X0) ),
    inference(cnf_transformation,[],[f2767]) ).

cnf(c_910,plain,
    ~ iext(uri_owl_differentFrom,X0,X0),
    inference(cnf_transformation,[],[f3238]) ).

cnf(c_976,plain,
    ( ~ ip(X0)
    | ~ ip(X1)
    | iext(X0,sK178(X1,X0),sK179(X1,X0))
    | iext(uri_owl_propertyDisjointWith,X1,X0) ),
    inference(cnf_transformation,[],[f2857]) ).

cnf(c_977,plain,
    ( ~ ip(X0)
    | ~ ip(X1)
    | iext(X1,sK178(X1,X0),sK179(X1,X0))
    | iext(uri_owl_propertyDisjointWith,X1,X0) ),
    inference(cnf_transformation,[],[f2856]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1331,plain,
    iext(uri_ex_p1,uri_ex_s1,uri_ex_o1),
    inference(cnf_transformation,[],[f3227]) ).

cnf(c_1332,plain,
    iext(uri_rdf_rest,sK254,uri_rdf_nil),
    inference(cnf_transformation,[],[f3226]) ).

cnf(c_1333,plain,
    iext(uri_rdf_first,sK254,uri_ex_o2),
    inference(cnf_transformation,[],[f3225]) ).

cnf(c_1334,plain,
    iext(uri_owl_oneOf,uri_ex_y2,sK254),
    inference(cnf_transformation,[],[f3224]) ).

cnf(c_1336,plain,
    iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2),
    inference(cnf_transformation,[],[f3222]) ).

cnf(c_1337,plain,
    iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2),
    inference(cnf_transformation,[],[f3221]) ).

cnf(c_1341,plain,
    iext(uri_rdf_rest,sK253,uri_rdf_nil),
    inference(cnf_transformation,[],[f3217]) ).

cnf(c_1342,plain,
    iext(uri_rdf_first,sK253,uri_ex_o1),
    inference(cnf_transformation,[],[f3216]) ).

cnf(c_1343,plain,
    iext(uri_owl_oneOf,uri_ex_y1,sK253),
    inference(cnf_transformation,[],[f3215]) ).

cnf(c_1344,plain,
    iext(uri_ex_p2,uri_ex_s2,uri_ex_o2),
    inference(cnf_transformation,[],[f3214]) ).

cnf(c_1345,plain,
    iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1),
    inference(cnf_transformation,[],[f3213]) ).

cnf(c_100757,plain,
    ip(uri_ex_p1),
    inference(superposition,[status(thm)],[c_1331,c_49]) ).

cnf(c_100762,plain,
    ip(uri_ex_p2),
    inference(superposition,[status(thm)],[c_1344,c_49]) ).

cnf(c_100985,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | ~ ip(X2)
    | icext(X1,sK179(X2,X0))
    | iext(uri_owl_propertyDisjointWith,X2,X0) ),
    inference(superposition,[status(thm)],[c_976,c_896]) ).

cnf(c_101001,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | ~ ip(X2)
    | icext(X1,sK179(X0,X2))
    | iext(uri_owl_propertyDisjointWith,X0,X2) ),
    inference(superposition,[status(thm)],[c_977,c_896]) ).

cnf(c_101089,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X2)
    | icext(X1,sK179(X2,X0))
    | iext(uri_owl_propertyDisjointWith,X2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_100985,c_898,c_100985]) ).

cnf(c_101116,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X2)
    | icext(X1,sK179(X0,X2))
    | iext(uri_owl_propertyDisjointWith,X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_101001,c_898,c_101001]) ).

cnf(c_102927,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | ~ ip(X2)
    | icext(X1,sK179(X2,X0))
    | iext(uri_owl_propertyDisjointWith,X2,X0) ),
    inference(superposition,[status(thm)],[c_976,c_896]) ).

cnf(c_102950,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X0)
    | ~ ip(X2)
    | icext(X1,sK179(X0,X2))
    | iext(uri_owl_propertyDisjointWith,X0,X2) ),
    inference(superposition,[status(thm)],[c_977,c_896]) ).

cnf(c_102987,plain,
    ( ~ iext(uri_rdf_first,sK254,X0)
    | ~ iext(uri_owl_oneOf,X1,sK254)
    | ~ icext(X1,X2)
    | X0 = X2 ),
    inference(superposition,[status(thm)],[c_1332,c_508]) ).

cnf(c_102989,plain,
    ( ~ iext(uri_rdf_first,sK253,X0)
    | ~ iext(uri_owl_oneOf,X1,sK253)
    | ~ icext(X1,X2)
    | X0 = X2 ),
    inference(superposition,[status(thm)],[c_1341,c_508]) ).

cnf(c_104217,plain,
    ( ~ iext(uri_owl_oneOf,X0,sK254)
    | ~ icext(X0,X1)
    | X1 = uri_ex_o2 ),
    inference(superposition,[status(thm)],[c_1333,c_102987]) ).

cnf(c_104219,plain,
    ( ~ icext(uri_ex_y2,X0)
    | X0 = uri_ex_o2 ),
    inference(superposition,[status(thm)],[c_1334,c_104217]) ).

cnf(c_104360,plain,
    ( ~ iext(uri_owl_oneOf,X0,sK253)
    | ~ icext(X0,X1)
    | X1 = uri_ex_o1 ),
    inference(superposition,[status(thm)],[c_1342,c_102989]) ).

cnf(c_104362,plain,
    ( ~ icext(uri_ex_y1,X0)
    | X0 = uri_ex_o1 ),
    inference(superposition,[status(thm)],[c_1343,c_104360]) ).

cnf(c_104489,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X2)
    | icext(X1,sK179(X2,X0))
    | iext(uri_owl_propertyDisjointWith,X2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_102927,c_101089]) ).

cnf(c_104501,plain,
    ( ~ iext(uri_rdfs_range,X0,uri_ex_y2)
    | ~ ip(X1)
    | sK179(X1,X0) = uri_ex_o2
    | iext(uri_owl_propertyDisjointWith,X1,X0) ),
    inference(superposition,[status(thm)],[c_104489,c_104219]) ).

cnf(c_104675,plain,
    ( ~ iext(uri_rdfs_range,X0,X1)
    | ~ ip(X2)
    | icext(X1,sK179(X0,X2))
    | iext(uri_owl_propertyDisjointWith,X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_102950,c_101116]) ).

cnf(c_105058,plain,
    ( ~ ip(X0)
    | sK179(X0,uri_ex_p2) = uri_ex_o2
    | iext(uri_owl_propertyDisjointWith,X0,uri_ex_p2) ),
    inference(superposition,[status(thm)],[c_1337,c_104501]) ).

cnf(c_105069,plain,
    ( ~ ip(uri_ex_p1)
    | sK179(uri_ex_p1,uri_ex_p2) = uri_ex_o2 ),
    inference(superposition,[status(thm)],[c_105058,c_1326]) ).

cnf(c_105144,plain,
    sK179(uri_ex_p1,uri_ex_p2) = uri_ex_o2,
    inference(global_subsumption_just,[status(thm)],[c_105069,c_100757,c_105069]) ).

cnf(c_105149,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p1,X0)
    | ~ ip(uri_ex_p2)
    | iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2)
    | icext(X0,uri_ex_o2) ),
    inference(superposition,[status(thm)],[c_105144,c_104675]) ).

cnf(c_105161,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p1,X0)
    | icext(X0,uri_ex_o2) ),
    inference(global_subsumption_just,[status(thm)],[c_105149,c_1326,c_100762,c_105149]) ).

cnf(c_105164,plain,
    icext(uri_ex_y1,uri_ex_o2),
    inference(superposition,[status(thm)],[c_1345,c_105161]) ).

cnf(c_105184,plain,
    uri_ex_o1 = uri_ex_o2,
    inference(superposition,[status(thm)],[c_105164,c_104362]) ).

cnf(c_105380,plain,
    iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o1),
    inference(superposition,[status(thm)],[c_105184,c_1336]) ).

cnf(c_105548,plain,
    $false,
    inference(superposition,[status(thm)],[c_105380,c_910]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB062+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 07:44:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  Running first-order theorem proving
% 0.19/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 210.41/28.84  % SZS status Started for theBenchmark.p
% 210.41/28.84  % SZS status Theorem for theBenchmark.p
% 210.41/28.84  
% 210.41/28.84  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 210.41/28.84  
% 210.41/28.84  ------  iProver source info
% 210.41/28.84  
% 210.41/28.84  git: date: 2023-05-31 18:12:56 +0000
% 210.41/28.84  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 210.41/28.84  git: non_committed_changes: false
% 210.41/28.84  git: last_make_outside_of_git: false
% 210.41/28.84  
% 210.41/28.84  ------ Parsing...
% 210.41/28.84  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 210.41/28.84  
% 210.41/28.84  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 210.41/28.84  
% 210.41/28.84  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 210.41/28.84  
% 210.41/28.84  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 210.41/28.84  ------ Proving...
% 210.41/28.84  ------ Problem Properties 
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  clauses                                 1189
% 210.41/28.84  conjectures                             1
% 210.41/28.84  EPR                                     729
% 210.41/28.84  Horn                                    920
% 210.41/28.84  unary                                   245
% 210.41/28.84  binary                                  455
% 210.41/28.84  lits                                    3750
% 210.41/28.84  lits eq                                 197
% 210.41/28.84  fd_pure                                 0
% 210.41/28.84  fd_pseudo                               0
% 210.41/28.84  fd_cond                                 0
% 210.41/28.84  fd_pseudo_cond                          66
% 210.41/28.84  AC symbols                              0
% 210.41/28.84  
% 210.41/28.84  ------ Input Options Time Limit: Unbounded
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ 
% 210.41/28.84  Current options:
% 210.41/28.84  ------ 
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  ------ Proving...
% 210.41/28.84  
% 210.41/28.84  
% 210.41/28.84  % SZS status Theorem for theBenchmark.p
% 210.41/28.84  
% 210.41/28.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 210.41/28.84  
% 210.41/28.85  
%------------------------------------------------------------------------------