TSTP Solution File: SWB026+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n020.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 20:13:44 EDT 2023

% Result   : Theorem 11.42s 2.41s
% Output   : Refutation 11.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   68 (  22 unt;   0 def)
%            Number of atoms       :  322 (  45 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  378 ( 124   ~; 115   |; 110   &)
%                                         (  19 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  15 con; 0-2 aty)
%            Number of variables   :  172 (; 136   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216367,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3054,f29181,f3056,f216333,f3202]) ).

fof(f3202,plain,
    ! [X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ sP275(X4,X1) ),
    inference(general_splitting,[],[f2570,f3201_D]) ).

fof(f3201,plain,
    ! [X2,X1,X4] :
      ( ~ iext(uri_rdf_first,X1,X2)
      | X2 = X4
      | sP275(X4,X1) ),
    inference(cnf_transformation,[],[f3201_D]) ).

fof(f3201_D,plain,
    ! [X1,X4] :
      ( ! [X2] :
          ( ~ iext(uri_rdf_first,X1,X2)
          | X2 = X4 )
    <=> ~ sP275(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP275])]) ).

fof(f2570,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,[],[f1592]) ).

fof(f1592,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK95(X0,X2) != X2
              | ~ icext(X0,sK95(X0,X2)) )
            & ( sK95(X0,X2) = X2
              | icext(X0,sK95(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,[sK95])],[f1590,f1591]) ).

fof(f1591,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK95(X0,X2) != X2
          | ~ icext(X0,sK95(X0,X2)) )
        & ( sK95(X0,X2) = X2
          | icext(X0,sK95(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1590,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,[],[f1589]) ).

fof(f1589,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,[],[f1588]) ).

fof(f1588,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,[],[f1205]) ).

fof(f1205,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,[],[f1204]) ).

fof(f1204,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,[],[f853]) ).

fof(f853,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(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/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',owl_enum_class_001) ).

fof(f216333,plain,
    sP275(sK23(uri_ex_p),sK211),
    inference(unit_resulting_resolution,[],[f3055,f216056,f3201]) ).

fof(f216056,plain,
    uri_ex_w != sK23(uri_ex_p),
    inference(backward_demodulation,[],[f14840,f216054]) ).

fof(f216054,plain,
    uri_ex_w = sK22(uri_ex_p),
    inference(unit_resulting_resolution,[],[f3055,f216031,f3201]) ).

fof(f216031,plain,
    ~ sP275(sK22(uri_ex_p),sK211),
    inference(unit_resulting_resolution,[],[f28731,f3054,f3056,f3202]) ).

fof(f28731,plain,
    icext(sK209,sK22(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f3053,f28727,f3145]) ).

fof(f3145,plain,
    ! [X0,X1,X4] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X4)
      | sP247(X4,X0) ),
    inference(cnf_transformation,[],[f3145_D]) ).

fof(f3145_D,plain,
    ! [X0,X4] :
      ( ! [X1] :
          ( ~ iext(uri_rdfs_domain,X0,X1)
          | icext(X1,X4) )
    <=> ~ sP247(X4,X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP247])]) ).

fof(f28727,plain,
    ~ sP247(sK22(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f28550,f3146]) ).

fof(f3146,plain,
    ! [X0,X4,X5] :
      ( ~ iext(X0,X4,X5)
      | ~ sP247(X4,X0) ),
    inference(general_splitting,[],[f2506,f3145_D]) ).

fof(f2506,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X1,X4)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[],[f1542]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ( ~ icext(X1,sK79(X0,X1))
          & iext(X0,sK79(X0,X1),sK80(X0,X1)) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X4)
              | ~ iext(X0,X4,X5) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f1540,f1541]) ).

fof(f1541,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X1,X2)
          & iext(X0,X2,X3) )
     => ( ~ icext(X1,sK79(X0,X1))
        & iext(X0,sK79(X0,X1),sK80(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1540,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X4)
              | ~ iext(X0,X4,X5) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(rectify,[],[f1539]) ).

fof(f1539,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(flattening,[],[f1538]) ).

fof(f1538,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f1169]) ).

fof(f1169,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) )
        & ic(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f834]) ).

fof(f834,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f341]) ).

fof(f341,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_domain,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X3) )
        & ic(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',owl_rdfsext_domain) ).

fof(f28550,plain,
    iext(uri_ex_p,sK22(uri_ex_p),sK24(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f6257,f9403,f2169]) ).

fof(f2169,plain,
    ! [X0] :
      ( iext(X0,sK22(X0),sK24(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f1399,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ( sK22(X0) != sK23(X0)
          & iext(X0,sK23(X0),sK24(X0))
          & iext(X0,sK22(X0),sK24(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f1397,f1398]) ).

fof(f1398,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK22(X0) != sK23(X0)
        & iext(X0,sK23(X0),sK24(X0))
        & iext(X0,sK22(X0),sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1397,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f1396]) ).

fof(f1396,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1395]) ).

fof(f1395,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f1022]) ).

fof(f1022,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f1021]) ).

fof(f1021,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f684]) ).

fof(f684,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f394]) ).

fof(f394,axiom,
    ! [X1] :
      ( icext(uri_owl_InverseFunctionalProperty,X1)
    <=> ( ! [X36,X37,X6] :
            ( ( iext(X1,X37,X6)
              & iext(X1,X36,X6) )
           => X36 = X37 )
        & ip(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',owl_char_inversefunctional) ).

fof(f9403,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(unit_resulting_resolution,[],[f1804,f2515]) ).

fof(f2515,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1548]) ).

fof(f1548,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f836]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',rdfs_cext_def) ).

fof(f1804,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f6257,plain,
    ip(uri_ex_p),
    inference(unit_resulting_resolution,[],[f3053,f2504]) ).

fof(f2504,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1542]) ).

fof(f3053,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK209),
    inference(cnf_transformation,[],[f1803]) ).

fof(f1803,plain,
    ( iext(uri_rdf_rest,sK212,uri_rdf_nil)
    & iext(uri_rdf_first,sK212,uri_ex_u)
    & iext(uri_owl_oneOf,sK210,sK212)
    & iext(uri_rdfs_range,uri_ex_p,sK210)
    & iext(uri_rdf_rest,sK211,uri_rdf_nil)
    & iext(uri_rdf_first,sK211,uri_ex_w)
    & iext(uri_owl_oneOf,sK209,sK211)
    & iext(uri_rdfs_domain,uri_ex_p,sK209) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK209,sK210,sK211,sK212])],[f921,f1802]) ).

fof(f1802,plain,
    ( ? [X0,X1,X2,X3] :
        ( iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_first,X3,uri_ex_u)
        & iext(uri_owl_oneOf,X1,X3)
        & iext(uri_rdfs_range,uri_ex_p,X1)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_first,X2,uri_ex_w)
        & iext(uri_owl_oneOf,X0,X2)
        & iext(uri_rdfs_domain,uri_ex_p,X0) )
   => ( iext(uri_rdf_rest,sK212,uri_rdf_nil)
      & iext(uri_rdf_first,sK212,uri_ex_u)
      & iext(uri_owl_oneOf,sK210,sK212)
      & iext(uri_rdfs_range,uri_ex_p,sK210)
      & iext(uri_rdf_rest,sK211,uri_rdf_nil)
      & iext(uri_rdf_first,sK211,uri_ex_w)
      & iext(uri_owl_oneOf,sK209,sK211)
      & iext(uri_rdfs_domain,uri_ex_p,sK209) ) ),
    introduced(choice_axiom,[]) ).

fof(f921,plain,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_u)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X2,uri_ex_w)
      & iext(uri_owl_oneOf,X0,X2)
      & iext(uri_rdfs_domain,uri_ex_p,X0) ),
    inference(rectify,[],[f561]) ).

fof(f561,axiom,
    ? [X41,X42,X43,X44] :
      ( iext(uri_rdf_rest,X44,uri_rdf_nil)
      & iext(uri_rdf_first,X44,uri_ex_u)
      & iext(uri_owl_oneOf,X42,X44)
      & iext(uri_rdfs_range,uri_ex_p,X42)
      & iext(uri_rdf_rest,X43,uri_rdf_nil)
      & iext(uri_rdf_first,X43,uri_ex_w)
      & iext(uri_owl_oneOf,X41,X43)
      & iext(uri_rdfs_domain,uri_ex_p,X41) ),
    file('/export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f14840,plain,
    sK22(uri_ex_p) != sK23(uri_ex_p),
    inference(unit_resulting_resolution,[],[f6257,f9403,f2171]) ).

fof(f2171,plain,
    ! [X0] :
      ( sK22(X0) != sK23(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f3055,plain,
    iext(uri_rdf_first,sK211,uri_ex_w),
    inference(cnf_transformation,[],[f1803]) ).

fof(f3056,plain,
    iext(uri_rdf_rest,sK211,uri_rdf_nil),
    inference(cnf_transformation,[],[f1803]) ).

fof(f29181,plain,
    icext(sK209,sK23(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f3053,f29175,f3145]) ).

fof(f29175,plain,
    ~ sP247(sK23(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f28670,f3146]) ).

fof(f28670,plain,
    iext(uri_ex_p,sK23(uri_ex_p),sK24(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f6257,f9403,f2170]) ).

fof(f2170,plain,
    ! [X0] :
      ( iext(X0,sK23(X0),sK24(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f3054,plain,
    iext(uri_owl_oneOf,sK209,sK211),
    inference(cnf_transformation,[],[f1803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.20  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.41  % Computer : n020.cluster.edu
% 0.21/0.41  % Model    : x86_64 x86_64
% 0.21/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.41  % Memory   : 8042.1875MB
% 0.21/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.41  % CPULimit   : 300
% 0.21/0.41  % WCLimit    : 300
% 0.21/0.41  % DateTime   : Sun Aug 27 06:24:44 EDT 2023
% 0.21/0.41  % CPUTime    : 
% 0.21/0.41  This is a FOF_THM_RFO_SEQ problem
% 0.21/0.41  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Q0S5d4CSpq/Vampire---4.8_27791
% 0.21/0.42  % (28090)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.50  % (28099)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.27/0.50  % (28102)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.27/0.50  % (28100)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.27/0.50  % (28101)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.27/0.50  % (28098)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.27/0.51  % (28104)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.27/0.51  % (28103)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 11.42/2.40  % (28103)First to succeed.
% 11.42/2.41  % (28103)Refutation found. Thanks to Tanya!
% 11.42/2.41  % SZS status Theorem for Vampire---4
% 11.42/2.41  % SZS output start Proof for Vampire---4
% See solution above
% 11.42/2.41  % (28103)------------------------------
% 11.42/2.41  % (28103)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 11.42/2.41  % (28103)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 11.42/2.41  % (28103)Termination reason: Refutation
% 11.42/2.41  
% 11.42/2.41  % (28103)Memory used [KB]: 81747
% 11.42/2.41  % (28103)Time elapsed: 1.892 s
% 11.42/2.41  % (28103)------------------------------
% 11.42/2.41  % (28103)------------------------------
% 11.42/2.41  % (28090)Success in time 1.938 s
% 11.42/2.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------