TSTP Solution File: SWB026+2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB026+2 : 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 : n022.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 20:13:45 EDT 2023

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   73 (  18 unt;   0 def)
%            Number of atoms       :  300 (  55 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  332 ( 105   ~; 114   |;  89   &)
%                                         (  15 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :  144 (; 116   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(trivial_inequality_removal,[],[f170]) ).

fof(f170,plain,
    uri_ex_w != uri_ex_w,
    inference(backward_demodulation,[],[f154,f160]) ).

fof(f160,plain,
    uri_ex_w = sK0(uri_ex_p),
    inference(resolution,[],[f159,f36]) ).

fof(f36,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f159,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
    | uri_ex_w = sK0(uri_ex_p) ),
    inference(resolution,[],[f156,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',rdfs_cext_def) ).

fof(f156,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | uri_ex_w = sK0(uri_ex_p) ),
    inference(resolution,[],[f135,f55]) ).

fof(f55,plain,
    iext(uri_rdf_first,sK6,uri_ex_w),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( iext(uri_rdf_rest,sK7,uri_rdf_nil)
    & iext(uri_rdf_first,sK7,uri_ex_u)
    & iext(uri_owl_oneOf,sK5,sK7)
    & iext(uri_rdfs_range,uri_ex_p,sK5)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_rdf_first,sK6,uri_ex_w)
    & iext(uri_owl_oneOf,sK4,sK6)
    & iext(uri_rdfs_domain,uri_ex_p,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f15,f34]) ).

fof(f34,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,sK7,uri_rdf_nil)
      & iext(uri_rdf_first,sK7,uri_ex_u)
      & iext(uri_owl_oneOf,sK5,sK7)
      & iext(uri_rdfs_range,uri_ex_p,sK5)
      & iext(uri_rdf_rest,sK6,uri_rdf_nil)
      & iext(uri_rdf_first,sK6,uri_ex_w)
      & iext(uri_owl_oneOf,sK4,sK6)
      & iext(uri_rdfs_domain,uri_ex_p,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,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,[],[f9]) ).

fof(f9,axiom,
    ? [X9,X10,X11,X12] :
      ( iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_rdf_first,X12,uri_ex_u)
      & iext(uri_owl_oneOf,X10,X12)
      & iext(uri_rdfs_range,uri_ex_p,X10)
      & iext(uri_rdf_rest,X11,uri_rdf_nil)
      & iext(uri_rdf_first,X11,uri_ex_w)
      & iext(uri_owl_oneOf,X9,X11)
      & iext(uri_rdfs_domain,uri_ex_p,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f135,plain,
    ! [X1] :
      ( ~ iext(uri_rdf_first,sK6,X1)
      | sK0(uri_ex_p) = X1
      | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f133,f100]) ).

fof(f100,plain,
    ( icext(sK4,sK0(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f77,f64]) ).

fof(f64,plain,
    ! [X2,X3] :
      ( ~ iext(uri_ex_p,X2,X3)
      | icext(sK4,X2) ),
    inference(resolution,[],[f52,f53]) ).

fof(f53,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK4),
    inference(cnf_transformation,[],[f35]) ).

fof(f52,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3] :
      ( ( iext(X0,X2,X3)
        & iext(uri_rdfs_domain,X0,X1) )
     => icext(X1,X2) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X1,X3] :
      ( ( iext(X0,X1,X3)
        & iext(uri_rdfs_domain,X0,X2) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',rdfs_domain_main) ).

fof(f77,plain,
    ( iext(uri_ex_p,sK0(uri_ex_p),sK2(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f74,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ ip(X0)
      | iext(X0,sK0(X0),sK2(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,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])],[f24,f25]) ).

fof(f25,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(f24,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,[],[f23]) ).

fof(f23,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,[],[f22]) ).

fof(f22,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,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,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,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X7,X8,X3] :
            ( ( iext(X0,X8,X3)
              & iext(X0,X7,X3) )
           => X7 = X8 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',owl_char_inversefunctional) ).

fof(f74,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f68,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',rdf_type_ip) ).

fof(f68,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(resolution,[],[f66,f46]) ).

fof(f66,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference(resolution,[],[f63,f53]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(uri_rdf_Property,X0) ),
    inference(resolution,[],[f52,f37]) ).

fof(f37,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',rdfs_domain_domain) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ icext(sK4,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK6,X1) ),
    inference(resolution,[],[f127,f54]) ).

fof(f54,plain,
    iext(uri_owl_oneOf,sK4,sK6),
    inference(cnf_transformation,[],[f35]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK6)
      | ~ icext(X0,X1)
      | X1 = X2
      | ~ iext(uri_rdf_first,sK6,X2) ),
    inference(resolution,[],[f48,f56]) ).

fof(f56,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f35]) ).

fof(f48,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | X2 = X4
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK3(X0,X2) != X2
              | ~ icext(X0,sK3(X0,X2)) )
            & ( sK3(X0,X2) = X2
              | icext(X0,sK3(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,[sK3])],[f31,f32]) ).

fof(f32,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK3(X0,X2) != X2
          | ~ icext(X0,sK3(X0,X2)) )
        & ( sK3(X0,X2) = X2
          | icext(X0,sK3(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,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,[],[f30]) ).

fof(f30,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,[],[f29]) ).

fof(f29,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,[],[f19]) ).

fof(f19,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,[],[f18]) ).

fof(f18,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,[],[f13]) ).

fof(f13,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,[],[f5]) ).

fof(f5,axiom,
    ! [X4,X5,X6] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X6) )
     => ( iext(uri_owl_oneOf,X4,X5)
      <=> ( ! [X1] :
              ( icext(X4,X1)
            <=> X1 = X6 )
          & ic(X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160',owl_enum_class_001) ).

fof(f154,plain,
    uri_ex_w != sK0(uri_ex_p),
    inference(resolution,[],[f153,f36]) ).

fof(f153,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
    | uri_ex_w != sK0(uri_ex_p) ),
    inference(resolution,[],[f152,f74]) ).

fof(f152,plain,
    ( ~ ip(uri_ex_p)
    | uri_ex_w != sK0(uri_ex_p)
    | iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
    inference(resolution,[],[f148,f46]) ).

fof(f148,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | uri_ex_w != sK0(uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(superposition,[],[f42,f142]) ).

fof(f142,plain,
    uri_ex_w = sK1(uri_ex_p),
    inference(resolution,[],[f141,f36]) ).

fof(f141,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
    | uri_ex_w = sK1(uri_ex_p) ),
    inference(resolution,[],[f138,f46]) ).

fof(f138,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | uri_ex_w = sK1(uri_ex_p) ),
    inference(resolution,[],[f134,f55]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | sK1(uri_ex_p) = X0
      | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f133,f97]) ).

fof(f97,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f76,f64]) ).

fof(f76,plain,
    ( iext(uri_ex_p,sK1(uri_ex_p),sK2(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f74,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ ip(X0)
      | iext(X0,sK1(X0),sK2(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    ! [X0] :
      ( sK0(X0) != sK1(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 06:37:40 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.rHeyQmqxhs/Vampire---4.8_25160
% 0.14/0.36  % (25448)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (25453)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.42  % (25454)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42  % (25452)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42  % (25456)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42  % (25458)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42  % (25455)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42  % (25457)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.43  % (25455)First to succeed.
% 0.21/0.43  % (25455)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (25455)------------------------------
% 0.21/0.43  % (25455)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (25455)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (25455)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (25455)Memory used [KB]: 1023
% 0.21/0.43  % (25455)Time elapsed: 0.008 s
% 0.21/0.43  % (25455)------------------------------
% 0.21/0.43  % (25455)------------------------------
% 0.21/0.43  % (25448)Success in time 0.068 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------