TSTP Solution File: SWB045+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB045+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 : n010.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 : Tue Apr 30 15:42:12 EDT 2024

% Result   : Theorem 49.32s 7.47s
% Output   : Refutation 49.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   99 (  30 unt;   0 def)
%            Number of atoms       :  357 (  45 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  389 ( 131   ~; 120   |;  99   &)
%                                         (  28 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :  209 ( 183   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f466119,plain,
    $false,
    inference(subsumption_resolution,[],[f466118,f3757]) ).

fof(f3757,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/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f466118,plain,
    ~ iext(uri_owl_sameAs,uri_ex_y,uri_ex_y),
    inference(forward_demodulation,[],[f466082,f466071]) ).

fof(f466071,plain,
    uri_ex_y = sK188(uri_ex_p),
    inference(unit_resulting_resolution,[],[f98977,f466065,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(f466065,plain,
    sP61(uri_ex_y,sK373),
    inference(unit_resulting_resolution,[],[f466060,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(f466060,plain,
    sP62(sK373,uri_ex_y),
    inference(unit_resulting_resolution,[],[f3755,f466054,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(f466054,plain,
    ! [X0] : sP63(uri_ex_y,X0,sK374),
    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/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f3754,plain,
    iext(uri_rdf_rest,sK374,uri_rdf_nil),
    inference(cnf_transformation,[],[f2289]) ).

fof(f2289,plain,
    ( iext(uri_owl_oneOf,sK373,sK374)
    & iext(uri_rdf_rest,sK374,uri_rdf_nil)
    & iext(uri_rdf_first,sK374,uri_ex_y)
    & iext(uri_ex_p,uri_ex_x,uri_ex_y)
    & iext(uri_rdfs_range,uri_ex_p,sK373) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374])],[f921,f2288]) ).

fof(f2288,plain,
    ( ? [X0,X1] :
        ( iext(uri_owl_oneOf,X0,X1)
        & iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,uri_ex_y)
        & iext(uri_ex_p,uri_ex_x,uri_ex_y)
        & iext(uri_rdfs_range,uri_ex_p,X0) )
   => ( iext(uri_owl_oneOf,sK373,sK374)
      & iext(uri_rdf_rest,sK374,uri_rdf_nil)
      & iext(uri_rdf_first,sK374,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,sK373) ) ),
    introduced(choice_axiom,[]) ).

fof(f921,plain,
    ? [X0,X1] :
      ( iext(uri_owl_oneOf,X0,X1)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,X0) ),
    inference(rectify,[],[f561]) ).

fof(f561,axiom,
    ? [X41,X36] :
      ( iext(uri_owl_oneOf,X41,X36)
      & iext(uri_rdf_rest,X36,uri_rdf_nil)
      & iext(uri_rdf_first,X36,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_rdfs_range,uri_ex_p,X41) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_functional_ext) ).

fof(f3753,plain,
    iext(uri_rdf_first,sK374,uri_ex_y),
    inference(cnf_transformation,[],[f2289]) ).

fof(f3755,plain,
    iext(uri_owl_oneOf,sK373,sK374),
    inference(cnf_transformation,[],[f2289]) ).

fof(f98977,plain,
    icext(sK373,sK188(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f49878,f26143,f3794]) ).

fof(f3794,plain,
    ! [X0,X1,X5] :
      ( ~ sP40(X0,X1)
      | icext(X0,X5)
      | sP386(X5,X1) ),
    inference(cnf_transformation,[],[f3794_D]) ).

fof(f3794_D,plain,
    ! [X1,X5] :
      ( ! [X0] :
          ( ~ sP40(X0,X1)
          | icext(X0,X5) )
    <=> ~ sP386(X5,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP386])]) ).

fof(f26143,plain,
    sP40(sK373,uri_ex_p),
    inference(unit_resulting_resolution,[],[f3751,f3067]) ).

fof(f3067,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | sP40(X1,X0) ),
    inference(cnf_transformation,[],[f1836]) ).

fof(f1836,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ sP40(X1,X0) )
      & ( sP40(X1,X0)
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f1398]) ).

fof(f1398,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> sP40(X1,X0) ),
    inference(definition_folding,[],[f1170,f1397]) ).

fof(f1397,plain,
    ! [X1,X0] :
      ( sP40(X1,X0)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f1170,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,[],[f835]) ).

fof(f835,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(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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).

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

fof(f49878,plain,
    ~ sP386(sK188(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f48727,f3795]) ).

fof(f3795,plain,
    ! [X1,X4,X5] :
      ( ~ iext(X1,X4,X5)
      | ~ sP386(X5,X1) ),
    inference(general_splitting,[],[f3064,f3794_D]) ).

fof(f3064,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X0,X5)
      | ~ iext(X1,X4,X5)
      | ~ sP40(X0,X1) ),
    inference(cnf_transformation,[],[f1835]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ( ~ icext(X0,sK246(X0,X1))
          & iext(X1,sK245(X0,X1),sK246(X0,X1)) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK245,sK246])],[f1833,f1834]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X0,X3)
          & iext(X1,X2,X3) )
     => ( ~ icext(X0,sK246(X0,X1))
        & iext(X1,sK245(X0,X1),sK246(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1833,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X0,X3)
            & iext(X1,X2,X3) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(rectify,[],[f1832]) ).

fof(f1832,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [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) )
        | ~ sP40(X1,X0) ) ),
    inference(flattening,[],[f1831]) ).

fof(f1831,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [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) )
        | ~ sP40(X1,X0) ) ),
    inference(nnf_transformation,[],[f1397]) ).

fof(f48727,plain,
    iext(uri_ex_p,sK186(uri_ex_p),sK188(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28465,f2663]) ).

fof(f2663,plain,
    ! [X0] :
      ( iext(X0,sK186(X0),sK188(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

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

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

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

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

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

fof(f28465,plain,
    ~ sP4(uri_ex_p),
    inference(unit_resulting_resolution,[],[f14285,f27562,f2667]) ).

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

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

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

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

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

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

fof(f684,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X1,X2) )
           => X2 = X3 )
        & ip(X0) ) ),
    inference(rectify,[],[f393]) ).

fof(f393,axiom,
    ! [X1] :
      ( icext(uri_owl_FunctionalProperty,X1)
    <=> ( ! [X3,X26,X27] :
            ( ( iext(X1,X3,X27)
              & iext(X1,X3,X26) )
           => X26 = X27 )
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).

fof(f27562,plain,
    ~ icext(uri_owl_FunctionalProperty,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/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2290,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f562]) ).

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

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

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_functional_ext) ).

fof(f14285,plain,
    ip(uri_ex_p),
    inference(unit_resulting_resolution,[],[f3752,f3071]) ).

fof(f3071,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f1171]) ).

fof(f1171,plain,
    ! [X0,X1,X2] :
      ( ip(X1)
      | ~ iext(X1,X0,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f3752,plain,
    iext(uri_ex_p,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[],[f2289]) ).

fof(f466082,plain,
    ~ iext(uri_owl_sameAs,uri_ex_y,sK188(uri_ex_p)),
    inference(superposition,[],[f34740,f466070]) ).

fof(f466070,plain,
    uri_ex_y = sK187(uri_ex_p),
    inference(unit_resulting_resolution,[],[f98976,f466065,f3160]) ).

fof(f98976,plain,
    icext(sK373,sK187(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f49859,f26143,f3794]) ).

fof(f49859,plain,
    ~ sP386(sK187(uri_ex_p),uri_ex_p),
    inference(unit_resulting_resolution,[],[f48551,f3795]) ).

fof(f48551,plain,
    iext(uri_ex_p,sK186(uri_ex_p),sK187(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28465,f2662]) ).

fof(f2662,plain,
    ! [X0] :
      ( iext(X0,sK186(X0),sK187(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

fof(f34740,plain,
    ~ iext(uri_owl_sameAs,sK187(uri_ex_p),sK188(uri_ex_p)),
    inference(unit_resulting_resolution,[],[f28475,f3001]) ).

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

fof(f28475,plain,
    sK187(uri_ex_p) != sK188(uri_ex_p),
    inference(unit_resulting_resolution,[],[f28465,f2664]) ).

fof(f2664,plain,
    ! [X0] :
      ( sK187(X0) != sK188(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1641]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem    : SWB045+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n010.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Apr 30 02:09:35 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.36  % (25945)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.39  % (25948)WARNING: value z3 for option sas not known
% 0.19/0.39  % (25950)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)
% 0.19/0.39  % (25949)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.39  % (25947)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.39  % (25952)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)
% 0.19/0.39  % (25948)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)
% 0.19/0.39  % (25951)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)
% 0.19/0.39  % (25946)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.37/0.57  TRYING [1]
% 1.51/0.59  TRYING [2]
% 3.32/0.84  TRYING [3]
% 4.97/1.11  TRYING [1]
% 5.80/1.21  TRYING [2]
% 8.30/1.61  TRYING [1]
% 8.84/1.64  TRYING [2]
% 9.21/1.75  TRYING [4]
% 10.82/1.93  TRYING [3]
% 15.07/2.57  TRYING [3]
% 17.24/2.84  TRYING [4]
% 30.63/4.77  TRYING [5]
% 44.53/6.75  TRYING [5]
% 49.32/7.45  % (25952)First to succeed.
% 49.32/7.47  % (25952)Refutation found. Thanks to Tanya!
% 49.32/7.47  % SZS status Theorem for theBenchmark
% 49.32/7.47  % SZS output start Proof for theBenchmark
% See solution above
% 49.32/7.47  % (25952)------------------------------
% 49.32/7.47  % (25952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 49.32/7.47  % (25952)Termination reason: Refutation
% 49.32/7.47  
% 49.32/7.47  % (25952)Memory used [KB]: 70845
% 49.32/7.47  % (25952)Time elapsed: 7.060 s
% 49.32/7.47  % (25952)Instructions burned: 16546 (million)
% 49.32/7.47  % (25952)------------------------------
% 49.32/7.47  % (25952)------------------------------
% 49.32/7.47  % (25945)Success in time 7.081 s
%------------------------------------------------------------------------------