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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 : Sun May  5 09:46:57 EDT 2024

% Result   : Theorem 51.11s 7.74s
% Output   : Refutation 51.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   96 (  29 unt;   0 def)
%            Number of atoms       :  367 (  45 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  401 ( 130   ~; 119   |; 114   &)
%                                         (  28 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :  208 ( 176   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f465892,plain,
    $false,
    inference(subsumption_resolution,[],[f465891,f3760]) ).

fof(f3760,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f3002]) ).

fof(f3002,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1782]) ).

fof(f1782,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f826]) ).

fof(f826,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f354]) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_sameAs,X3,X6)
    <=> X3 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f465891,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
    inference(forward_demodulation,[],[f465849,f465603]) ).

fof(f465603,plain,
    uri_ex_w = sK187(uri_ex_p),
    inference(unit_resulting_resolution,[],[f98772,f465598,f3160]) ).

fof(f3160,plain,
    ! [X3,X0,X1] :
      ( ~ sP61(X0,X1)
      | ~ icext(X1,X3)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f1911]) ).

fof(f1911,plain,
    ! [X0,X1] :
      ( ( sP61(X0,X1)
        | ( ( sK259(X0,X1) != X0
            | ~ icext(X1,sK259(X0,X1)) )
          & ( sK259(X0,X1) = X0
            | icext(X1,sK259(X0,X1)) ) ) )
      & ( ! [X3] :
            ( ( icext(X1,X3)
              | X0 != X3 )
            & ( X0 = X3
              | ~ icext(X1,X3) ) )
        | ~ sP61(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK259])],[f1909,f1910]) ).

fof(f1910,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( X0 != X2
            | ~ icext(X1,X2) )
          & ( X0 = X2
            | icext(X1,X2) ) )
     => ( ( sK259(X0,X1) != X0
          | ~ icext(X1,sK259(X0,X1)) )
        & ( sK259(X0,X1) = X0
          | icext(X1,sK259(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1909,plain,
    ! [X0,X1] :
      ( ( sP61(X0,X1)
        | ? [X2] :
            ( ( X0 != X2
              | ~ icext(X1,X2) )
            & ( X0 = X2
              | icext(X1,X2) ) ) )
      & ( ! [X3] :
            ( ( icext(X1,X3)
              | X0 != X3 )
            & ( X0 = X3
              | ~ icext(X1,X3) ) )
        | ~ sP61(X0,X1) ) ),
    inference(rectify,[],[f1908]) ).

fof(f1908,plain,
    ! [X2,X0] :
      ( ( sP61(X2,X0)
        | ? [X3] :
            ( ( X2 != X3
              | ~ icext(X0,X3) )
            & ( X2 = X3
              | icext(X0,X3) ) ) )
      & ( ! [X3] :
            ( ( icext(X0,X3)
              | X2 != X3 )
            & ( X2 = X3
              | ~ icext(X0,X3) ) )
        | ~ sP61(X2,X0) ) ),
    inference(nnf_transformation,[],[f1428]) ).

fof(f1428,plain,
    ! [X2,X0] :
      ( sP61(X2,X0)
    <=> ! [X3] :
          ( icext(X0,X3)
        <=> X2 = X3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).

fof(f465598,plain,
    sP61(uri_ex_w,sK373),
    inference(unit_resulting_resolution,[],[f465593,f3158]) ).

fof(f3158,plain,
    ! [X0,X1] :
      ( ~ sP62(X0,X1)
      | sP61(X1,X0) ),
    inference(cnf_transformation,[],[f1907]) ).

fof(f1907,plain,
    ! [X0,X1] :
      ( ( sP62(X0,X1)
        | ~ sP61(X1,X0)
        | ~ ic(X0) )
      & ( ( sP61(X1,X0)
          & ic(X0) )
        | ~ sP62(X0,X1) ) ),
    inference(rectify,[],[f1906]) ).

fof(f1906,plain,
    ! [X0,X2] :
      ( ( sP62(X0,X2)
        | ~ sP61(X2,X0)
        | ~ ic(X0) )
      & ( ( sP61(X2,X0)
          & ic(X0) )
        | ~ sP62(X0,X2) ) ),
    inference(flattening,[],[f1905]) ).

fof(f1905,plain,
    ! [X0,X2] :
      ( ( sP62(X0,X2)
        | ~ sP61(X2,X0)
        | ~ ic(X0) )
      & ( ( sP61(X2,X0)
          & ic(X0) )
        | ~ sP62(X0,X2) ) ),
    inference(nnf_transformation,[],[f1429]) ).

fof(f1429,plain,
    ! [X0,X2] :
      ( sP62(X0,X2)
    <=> ( sP61(X2,X0)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).

fof(f465593,plain,
    sP62(sK373,uri_ex_w),
    inference(unit_resulting_resolution,[],[f3752,f465580,f3155]) ).

fof(f3155,plain,
    ! [X2,X0,X1] :
      ( ~ sP63(X0,X1,X2)
      | ~ iext(uri_owl_oneOf,X1,X2)
      | sP62(X1,X0) ),
    inference(cnf_transformation,[],[f1904]) ).

fof(f1904,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X1,X2)
          | ~ sP62(X1,X0) )
        & ( sP62(X1,X0)
          | ~ iext(uri_owl_oneOf,X1,X2) ) )
      | ~ sP63(X0,X1,X2) ),
    inference(rectify,[],[f1903]) ).

fof(f1903,plain,
    ! [X2,X0,X1] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ sP62(X0,X2) )
        & ( sP62(X0,X2)
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ sP63(X2,X0,X1) ),
    inference(nnf_transformation,[],[f1430]) ).

fof(f1430,plain,
    ! [X2,X0,X1] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> sP62(X0,X2) )
      | ~ sP63(X2,X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).

fof(f465580,plain,
    ! [X0] : sP63(uri_ex_w,X0,sK375),
    inference(unit_resulting_resolution,[],[f3753,f3754,f3164]) ).

fof(f3164,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | sP63(X2,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f1431]) ).

fof(f1431,plain,
    ! [X0,X1,X2] :
      ( sP63(X2,X0,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(definition_folding,[],[f1205,f1430,f1429,f1428]) ).

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/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f3754,plain,
    iext(uri_rdf_rest,sK375,uri_rdf_nil),
    inference(cnf_transformation,[],[f2289]) ).

fof(f2289,plain,
    ( iext(uri_rdf_rest,sK376,uri_rdf_nil)
    & iext(uri_rdf_first,sK376,uri_ex_u)
    & iext(uri_owl_oneOf,sK374,sK376)
    & iext(uri_rdfs_range,uri_ex_p,sK374)
    & iext(uri_rdf_rest,sK375,uri_rdf_nil)
    & iext(uri_rdf_first,sK375,uri_ex_w)
    & iext(uri_owl_oneOf,sK373,sK375)
    & iext(uri_rdfs_domain,uri_ex_p,sK373) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374,sK375,sK376])],[f921,f2288]) ).

fof(f2288,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,sK376,uri_rdf_nil)
      & iext(uri_rdf_first,sK376,uri_ex_u)
      & iext(uri_owl_oneOf,sK374,sK376)
      & iext(uri_rdfs_range,uri_ex_p,sK374)
      & iext(uri_rdf_rest,sK375,uri_rdf_nil)
      & iext(uri_rdf_first,sK375,uri_ex_w)
      & iext(uri_owl_oneOf,sK373,sK375)
      & iext(uri_rdfs_domain,uri_ex_p,sK373) ) ),
    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/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f3753,plain,
    iext(uri_rdf_first,sK375,uri_ex_w),
    inference(cnf_transformation,[],[f2289]) ).

fof(f3752,plain,
    iext(uri_owl_oneOf,sK373,sK375),
    inference(cnf_transformation,[],[f2289]) ).

fof(f98772,plain,
    icext(sK373,sK187(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f49777,f25303,f3795]) ).

fof(f3795,plain,
    ! [X0,X1,X4] :
      ( ~ sP39(X0,X1)
      | icext(X0,X4)
      | sP387(X4,X1) ),
    inference(cnf_transformation,[],[f3795_D]) ).

fof(f3795_D,plain,
    ! [X1,X4] :
      ( ! [X0] :
          ( ~ sP39(X0,X1)
          | icext(X0,X4) )
    <=> ~ sP387(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP387])]) ).

fof(f25303,plain,
    sP39(sK373,uri_ex_p),
    inference(unit_resulting_resolution,[],[f3751,f3060]) ).

fof(f3060,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | sP39(X1,X0) ),
    inference(cnf_transformation,[],[f1830]) ).

fof(f1830,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ~ sP39(X1,X0) )
      & ( sP39(X1,X0)
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f1396]) ).

fof(f1396,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> sP39(X1,X0) ),
    inference(definition_folding,[],[f1169,f1395]) ).

fof(f1395,plain,
    ! [X1,X0] :
      ( sP39(X1,X0)
    <=> ( ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) )
        & ic(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

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/benchmark/theBenchmark.p',owl_rdfsext_domain) ).

fof(f3751,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK373),
    inference(cnf_transformation,[],[f2289]) ).

fof(f49777,plain,
    ~ sP387(sK187(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f48627,f3796]) ).

fof(f3796,plain,
    ! [X1,X4,X5] :
      ( ~ iext(X1,X4,X5)
      | ~ sP387(X4,X1) ),
    inference(general_splitting,[],[f3057,f3795_D]) ).

fof(f3057,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X0,X4)
      | ~ iext(X1,X4,X5)
      | ~ sP39(X0,X1) ),
    inference(cnf_transformation,[],[f1829]) ).

fof(f1829,plain,
    ! [X0,X1] :
      ( ( sP39(X0,X1)
        | ( ~ icext(X0,sK243(X0,X1))
          & iext(X1,sK243(X0,X1),sK244(X0,X1)) )
        | ~ ic(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X4)
              | ~ iext(X1,X4,X5) )
          & ic(X0)
          & ip(X1) )
        | ~ sP39(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK243,sK244])],[f1827,f1828]) ).

fof(f1828,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X0,X2)
          & iext(X1,X2,X3) )
     => ( ~ icext(X0,sK243(X0,X1))
        & iext(X1,sK243(X0,X1),sK244(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1827,plain,
    ! [X0,X1] :
      ( ( sP39(X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X0,X2)
            & iext(X1,X2,X3) )
        | ~ ic(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X4)
              | ~ iext(X1,X4,X5) )
          & ic(X0)
          & ip(X1) )
        | ~ sP39(X0,X1) ) ),
    inference(rectify,[],[f1826]) ).

fof(f1826,plain,
    ! [X1,X0] :
      ( ( sP39(X1,X0)
        | ? [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) )
        | ~ sP39(X1,X0) ) ),
    inference(flattening,[],[f1825]) ).

fof(f1825,plain,
    ! [X1,X0] :
      ( ( sP39(X1,X0)
        | ? [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) )
        | ~ sP39(X1,X0) ) ),
    inference(nnf_transformation,[],[f1395]) ).

fof(f48627,plain,
    iext(uri_ex_p,sK187(uri_ex_p),sK188(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28647,f2663]) ).

fof(f2663,plain,
    ! [X0] :
      ( iext(X0,sK187(X0),sK188(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

fof(f1641,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( sK186(X0) != sK187(X0)
          & iext(X0,sK187(X0),sK188(X0))
          & iext(X0,sK186(X0),sK188(X0)) ) )
      & ( ! [X4,X5,X6] :
            ( X4 = X5
            | ~ iext(X0,X5,X6)
            | ~ iext(X0,X4,X6) )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK186,sK187,sK188])],[f1639,f1640]) ).

fof(f1640,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK186(X0) != sK187(X0)
        & iext(X0,sK187(X0),sK188(X0))
        & iext(X0,sK186(X0),sK188(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1639,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) )
      & ( ! [X4,X5,X6] :
            ( X4 = X5
            | ~ iext(X0,X5,X6)
            | ~ iext(X0,X4,X6) )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f1638]) ).

fof(f1638,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) )
      & ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f1338]) ).

fof(f1338,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ! [X1,X2,X3] :
          ( X1 = X2
          | ~ iext(X0,X2,X3)
          | ~ iext(X0,X1,X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f28647,plain,
    ~ sP4(uri_ex_p),
    inference(unit_resulting_resolution,[],[f25440,f27738,f2667]) ).

fof(f2667,plain,
    ! [X0] :
      ( ~ sP4(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1643]) ).

fof(f1643,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ sP4(X0)
        | ~ ip(X0) )
      & ( ( sP4(X0)
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1642]) ).

fof(f1642,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ sP4(X0)
        | ~ ip(X0) )
      & ( ( sP4(X0)
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f1339]) ).

fof(f1339,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( sP4(X0)
        & ip(X0) ) ),
    inference(definition_folding,[],[f1022,f1338]) ).

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/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f27738,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(unit_resulting_resolution,[],[f2290,f3070]) ).

fof(f3070,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1837]) ).

fof(f1837,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/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2290,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/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f25440,plain,
    ip(uri_ex_p),
    inference(unit_resulting_resolution,[],[f25303,f3055]) ).

fof(f3055,plain,
    ! [X0,X1] :
      ( ~ sP39(X0,X1)
      | ip(X1) ),
    inference(cnf_transformation,[],[f1829]) ).

fof(f465849,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,sK187(uri_ex_p)),
    inference(superposition,[],[f34870,f465602]) ).

fof(f465602,plain,
    uri_ex_w = sK186(uri_ex_p),
    inference(unit_resulting_resolution,[],[f98771,f465598,f3160]) ).

fof(f98771,plain,
    icext(sK373,sK186(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f49758,f25303,f3795]) ).

fof(f49758,plain,
    ~ sP387(sK186(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f48451,f3796]) ).

fof(f48451,plain,
    iext(uri_ex_p,sK186(uri_ex_p),sK188(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28647,f2662]) ).

fof(f2662,plain,
    ! [X0] :
      ( iext(X0,sK186(X0),sK188(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

fof(f34870,plain,
    ~ iext(uri_owl_sameAs,sK186(uri_ex_p),sK187(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28662,f3001]) ).

fof(f3001,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1782]) ).

fof(f28662,plain,
    sK186(uri_ex_p) != sK187(uri_ex_p),
    inference(unit_resulting_resolution,[],[f28647,f2664]) ).

fof(f2664,plain,
    ! [X0] :
      ( sK186(X0) != sK187(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWB026+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 18:38:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7509)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40  % (7512)WARNING: value z3 for option sas not known
% 0.14/0.40  % (7511)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (7510)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40  % (7513)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40  % (7512)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40  % (7514)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40  % (7515)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40  % (7516)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.58  TRYING [1]
% 1.67/0.60  TRYING [2]
% 3.46/0.90  TRYING [3]
% 5.11/1.15  TRYING [1]
% 5.99/1.24  TRYING [2]
% 8.82/1.67  TRYING [1]
% 9.29/1.71  TRYING [2]
% 10.20/1.82  TRYING [4]
% 11.29/2.02  TRYING [3]
% 14.97/2.58  TRYING [3]
% 17.80/2.95  TRYING [4]
% 30.42/4.77  TRYING [5]
% 44.27/6.70  TRYING [5]
% 51.11/7.73  % (7516)First to succeed.
% 51.11/7.73  % (7516)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7509"
% 51.11/7.74  % (7516)Refutation found. Thanks to Tanya!
% 51.11/7.74  % SZS status Theorem for theBenchmark
% 51.11/7.74  % SZS output start Proof for theBenchmark
% See solution above
% 51.11/7.74  % (7516)------------------------------
% 51.11/7.74  % (7516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 51.11/7.74  % (7516)Termination reason: Refutation
% 51.11/7.74  
% 51.11/7.74  % (7516)Memory used [KB]: 71071
% 51.11/7.74  % (7516)Time elapsed: 7.329 s
% 51.11/7.74  % (7516)Instructions burned: 16481 (million)
% 51.11/7.74  % (7509)Success in time 7.337 s
%------------------------------------------------------------------------------