TSTP Solution File: SWB047+1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWB047+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n004.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 : Mon Jun 24 16:12:24 EDT 2024

% Result   : Theorem 0.23s 0.49s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   74 (  10 unt;   0 def)
%            Number of atoms       :  332 (  42 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  405 ( 147   ~; 154   |;  80   &)
%                                         (  17 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  168 ( 136   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f972,f1012,f1056,f1102]) ).

fof(f1102,plain,
    ( ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f1100,f963]) ).

fof(f963,plain,
    ( ip(uri_ex_p2)
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f962,plain,
    ( spl8_6
  <=> ip(uri_ex_p2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

fof(f1100,plain,
    ( ~ ip(uri_ex_p2)
    | ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f1099,f967]) ).

fof(f967,plain,
    ( ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
    | spl8_7 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f966,plain,
    ( spl8_7
  <=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f1099,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
    | ~ ip(uri_ex_p2)
    | ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(trivial_inequality_removal,[],[f1098]) ).

fof(f1098,plain,
    ( sK0(uri_ex_p2) != sK0(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
    | ~ ip(uri_ex_p2)
    | ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(superposition,[],[f604,f1078]) ).

fof(f1078,plain,
    ( sK0(uri_ex_p2) = sK1(uri_ex_p2)
    | ~ spl8_6
    | spl8_7
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f1077,f963]) ).

fof(f1077,plain,
    ( sK0(uri_ex_p2) = sK1(uri_ex_p2)
    | ~ ip(uri_ex_p2)
    | spl8_7
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f1074,f967]) ).

fof(f1074,plain,
    ( sK0(uri_ex_p2) = sK1(uri_ex_p2)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
    | ~ ip(uri_ex_p2)
    | ~ spl8_8 ),
    inference(resolution,[],[f971,f603]) ).

fof(f603,plain,
    ! [X0] :
      ( iext(X0,sK1(X0),sK2(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f584,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ( sK0(X0) != sK1(X0)
          & iext(X0,sK1(X0),sK2(X0))
          & iext(X0,sK0(X0),sK2(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,[sK0,sK1,sK2])],[f582,f583]) ).

fof(f583,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK0(X0) != sK1(X0)
        & iext(X0,sK1(X0),sK2(X0))
        & iext(X0,sK0(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f582,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,[],[f581]) ).

fof(f581,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,[],[f580]) ).

fof(f580,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,[],[f573]) ).

fof(f573,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f572]) ).

fof(f572,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,[],[f564]) ).

fof(f564,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f971,plain,
    ( ! [X0] :
        ( ~ iext(uri_ex_p2,X0,sK2(uri_ex_p2))
        | sK0(uri_ex_p2) = X0 )
    | ~ spl8_8 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl8_8
  <=> ! [X0] :
        ( sK0(uri_ex_p2) = X0
        | ~ iext(uri_ex_p2,X0,sK2(uri_ex_p2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

fof(f604,plain,
    ! [X0] :
      ( sK0(X0) != sK1(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f1056,plain,
    ~ spl8_7,
    inference(avatar_contradiction_clause,[],[f1055]) ).

fof(f1055,plain,
    ( $false
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f1054,f595]) ).

fof(f595,plain,
    ~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1054,plain,
    ( iext(uri_rdf_type,uri_ex_p2,uri_owl_InverseFunctionalProperty)
    | ~ spl8_7 ),
    inference(resolution,[],[f968,f599]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f579]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f563,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',unknown) ).

fof(f968,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
    | ~ spl8_7 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1012,plain,
    spl8_6,
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | spl8_6 ),
    inference(resolution,[],[f984,f596]) ).

fof(f596,plain,
    iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty)
    & iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f984,plain,
    ( ! [X0] : ~ iext(uri_owl_inverseOf,uri_ex_p2,X0)
    | spl8_6 ),
    inference(resolution,[],[f964,f612]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( ip(X0)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[],[f594]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
            | ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
          & ( iext(X1,sK7(X0,X1),sK6(X0,X1))
            | iext(X0,sK6(X0,X1),sK7(X0,X1)) ) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f592,f593]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ( ~ iext(X1,X3,X2)
            | ~ iext(X0,X2,X3) )
          & ( iext(X1,X3,X2)
            | iext(X0,X2,X3) ) )
     => ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
          | ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
        & ( iext(X1,sK7(X0,X1),sK6(X0,X1))
          | iext(X0,sK6(X0,X1),sK7(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( ( iext(X0,X4,X5)
                | ~ iext(X1,X5,X4) )
              & ( iext(X1,X5,X4)
                | ~ iext(X0,X4,X5) ) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(rectify,[],[f591]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) )
              & ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(flattening,[],[f590]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_inverseOf,X0,X1)
        | ? [X2,X3] :
            ( ( ~ iext(X1,X3,X2)
              | ~ iext(X0,X2,X3) )
            & ( iext(X1,X3,X2)
              | iext(X0,X2,X3) ) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ( iext(X0,X2,X3)
                | ~ iext(X1,X3,X2) )
              & ( iext(X1,X3,X2)
                | ~ iext(X0,X2,X3) ) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_owl_inverseOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f568]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( iext(uri_owl_inverseOf,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
          <=> iext(X1,X3,X2) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f391]) ).

fof(f391,axiom,
    ! [X32,X33] :
      ( iext(uri_owl_inverseOf,X32,X33)
    <=> ( ! [X3,X6] :
            ( iext(X32,X3,X6)
          <=> iext(X33,X6,X3) )
        & ip(X33)
        & ip(X32) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f964,plain,
    ( ~ ip(uri_ex_p2)
    | spl8_6 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f972,plain,
    ( ~ spl8_6
    | spl8_7
    | spl8_8 ),
    inference(avatar_split_clause,[],[f949,f970,f966,f962]) ).

fof(f949,plain,
    ! [X0] :
      ( sK0(uri_ex_p2) = X0
      | ~ iext(uri_ex_p2,X0,sK2(uri_ex_p2))
      | icext(uri_owl_InverseFunctionalProperty,uri_ex_p2)
      | ~ ip(uri_ex_p2) ),
    inference(resolution,[],[f934,f602]) ).

fof(f602,plain,
    ! [X0] :
      ( iext(X0,sK0(X0),sK2(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f934,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_ex_p2,X1,X2)
      | X0 = X1
      | ~ iext(uri_ex_p2,X0,X2) ),
    inference(resolution,[],[f760,f596]) ).

fof(f760,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X3,uri_ex_p1)
      | X0 = X2
      | ~ iext(X3,X2,X1)
      | ~ iext(uri_ex_p2,X0,X1) ),
    inference(resolution,[],[f722,f614]) ).

fof(f614,plain,
    ! [X0,X1,X4,X5] :
      ( iext(X1,X5,X4)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[],[f594]) ).

fof(f722,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_ex_p1,X2,X0)
      | ~ iext(uri_ex_p2,X1,X2)
      | X0 = X1 ),
    inference(resolution,[],[f667,f596]) ).

fof(f667,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X3,uri_ex_p1)
      | X1 = X2
      | ~ iext(X3,X2,X0)
      | ~ iext(uri_ex_p1,X0,X1) ),
    inference(resolution,[],[f647,f614]) ).

fof(f647,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_ex_p1,X0,X1)
      | ~ iext(uri_ex_p1,X0,X2)
      | X1 = X2 ),
    inference(resolution,[],[f607,f621]) ).

fof(f621,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_p1),
    inference(resolution,[],[f598,f597]) ).

fof(f597,plain,
    iext(uri_rdf_type,uri_ex_p1,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f579]) ).

fof(f607,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X4,X6)
      | ~ iext(X0,X4,X5)
      | X5 = X6 ),
    inference(cnf_transformation,[],[f589]) ).

fof(f589,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ( sK4(X0) != sK5(X0)
          & iext(X0,sK3(X0),sK5(X0))
          & iext(X0,sK3(X0),sK4(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f587,f588]) ).

fof(f588,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & iext(X0,X1,X3)
          & iext(X0,X1,X2) )
     => ( sK4(X0) != sK5(X0)
        & iext(X0,sK3(X0),sK5(X0))
        & iext(X0,sK3(X0),sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f587,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(rectify,[],[f586]) ).

fof(f586,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(flattening,[],[f585]) ).

fof(f585,plain,
    ! [X0] :
      ( ( icext(uri_owl_FunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X1,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f576]) ).

fof(f576,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X2 = X3
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    inference(flattening,[],[f575]) ).

fof(f575,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,[],[f566]) ).

fof(f566,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',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWB047+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.36  % Computer : n004.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   : Tue Jun 18 17:36:09 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4077)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4080)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4081)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4075)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4076)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4079)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.23/0.46  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4078)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.23/0.46  % (4080)Refutation not found, incomplete strategy% (4080)------------------------------
% 0.23/0.46  % (4080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46  % (4080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46  % (4080)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46  
% 0.23/0.46  % (4080)Memory used [KB]: 1466
% 0.23/0.46  % (4080)Time elapsed: 0.006 s
% 0.23/0.46  % (4080)Instructions burned: 6 (million)
% 0.23/0.46  % (4080)------------------------------
% 0.23/0.46  % (4080)------------------------------
% 0.23/0.49  % (4079)First to succeed.
% 0.23/0.49  % (4079)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4074"
% 0.23/0.49  % (4081)Refutation not found, incomplete strategy% (4081)------------------------------
% 0.23/0.49  % (4081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (4081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (4081)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49  
% 0.23/0.49  % (4081)Memory used [KB]: 1662
% 0.23/0.49  % (4081)Time elapsed: 0.040 s
% 0.23/0.49  % (4074)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4079)Refutation found. Thanks to Tanya!
% 0.23/0.49  % SZS status Theorem for theBenchmark
% 0.23/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.49  % (4079)------------------------------
% 0.23/0.49  % (4079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (4079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (4079)Termination reason: Refutation
% 0.23/0.49  
% 0.23/0.49  % (4079)Memory used [KB]: 1809
% 0.23/0.49  % (4079)Time elapsed: 0.038 s
% 0.23/0.49  % (4079)Instructions burned: 66 (million)
% 0.23/0.49  % (4079)------------------------------
% 0.23/0.49  % (4079)------------------------------
% 0.23/0.49  % (4074)Success in time 0.101 s
%------------------------------------------------------------------------------