TSTP Solution File: SWB026+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:36:36 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   81 (  15 unt;   0 def)
%            Number of atoms       :  333 (  48 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  381 ( 129   ~; 128   |;  97   &)
%                                         (  18 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :  153 ( 121   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f316,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f123,f131,f315]) ).

fof(f315,plain,
    ( ~ spl8_8
    | ~ spl8_9
    | ~ spl8_10 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl8_8
    | ~ spl8_9
    | ~ spl8_10 ),
    inference(subsumption_resolution,[],[f309,f299]) ).

fof(f299,plain,
    ( uri_ex_w = sK1(uri_ex_p)
    | ~ spl8_10 ),
    inference(resolution,[],[f277,f122]) ).

fof(f122,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl8_10
  <=> icext(sK4,sK1(uri_ex_p)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ icext(sK4,X0)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f274,f54]) ).

fof(f54,plain,
    iext(uri_rdf_first,sK6,uri_ex_w),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( iext(uri_owl_oneOf,sK5,sK3)
    & iext(uri_rdf_first,sK6,uri_ex_w)
    & iext(uri_rdf_rest,sK3,uri_rdf_nil)
    & iext(uri_rdfs_domain,uri_ex_p,sK4)
    & iext(uri_owl_oneOf,sK4,sK6)
    & iext(uri_rdf_first,sK3,uri_ex_u)
    & iext(uri_rdfs_range,uri_ex_p,sK5)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f30,f31]) ).

fof(f31,plain,
    ( ? [X0,X1,X2,X3] :
        ( iext(uri_owl_oneOf,X2,X0)
        & iext(uri_rdf_first,X3,uri_ex_w)
        & iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdfs_domain,uri_ex_p,X1)
        & iext(uri_owl_oneOf,X1,X3)
        & iext(uri_rdf_first,X0,uri_ex_u)
        & iext(uri_rdfs_range,uri_ex_p,X2)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
   => ( iext(uri_owl_oneOf,sK5,sK3)
      & iext(uri_rdf_first,sK6,uri_ex_w)
      & iext(uri_rdf_rest,sK3,uri_rdf_nil)
      & iext(uri_rdfs_domain,uri_ex_p,sK4)
      & iext(uri_owl_oneOf,sK4,sK6)
      & iext(uri_rdf_first,sK3,uri_ex_u)
      & iext(uri_rdfs_range,uri_ex_p,sK5)
      & iext(uri_rdf_rest,sK6,uri_rdf_nil) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ? [X0,X1,X2,X3] :
      ( iext(uri_owl_oneOf,X2,X0)
      & iext(uri_rdf_first,X3,uri_ex_w)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdfs_domain,uri_ex_p,X1)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdf_first,X0,uri_ex_u)
      & iext(uri_rdfs_range,uri_ex_p,X2)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ? [X0,X2,X1,X3] :
      ( iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_first,X3,uri_ex_w)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdfs_domain,uri_ex_p,X2)
      & iext(uri_owl_oneOf,X2,X3)
      & iext(uri_rdf_first,X0,uri_ex_u)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ? [X12,X10,X9,X11] :
      ( iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_rdf_first,X11,uri_ex_w)
      & iext(uri_rdfs_domain,uri_ex_p,X9)
      & iext(uri_rdfs_range,uri_ex_p,X10)
      & iext(uri_rdf_rest,X11,uri_rdf_nil)
      & iext(uri_owl_oneOf,X9,X11)
      & iext(uri_owl_oneOf,X10,X12)
      & iext(uri_rdf_first,X12,uri_ex_u) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | ~ icext(sK4,X1)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f269,f48]) ).

fof(f48,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f32]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ icext(sK4,X1)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK6,X0) ),
    inference(resolution,[],[f61,f51]) ).

fof(f51,plain,
    iext(uri_owl_oneOf,sK4,sK6),
    inference(cnf_transformation,[],[f32]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X1,X2)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | X0 = X3
      | ~ iext(uri_rdf_first,X2,X0)
      | ~ icext(X1,X3) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ( ( ( ic(X1)
            & ! [X3] :
                ( ( X0 = X3
                  | ~ icext(X1,X3) )
                & ( icext(X1,X3)
                  | X0 != X3 ) ) )
          | ~ iext(uri_owl_oneOf,X1,X2) )
        & ( iext(uri_owl_oneOf,X1,X2)
          | ~ ic(X1)
          | ( ( ~ icext(X1,sK7(X0,X1))
              | sK7(X0,X1) != X0 )
            & ( icext(X1,sK7(X0,X1))
              | sK7(X0,X1) = X0 ) ) ) )
      | ~ iext(uri_rdf_first,X2,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f36,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ( ~ icext(X1,X4)
            | X0 != X4 )
          & ( icext(X1,X4)
            | X0 = X4 ) )
     => ( ( ~ icext(X1,sK7(X0,X1))
          | sK7(X0,X1) != X0 )
        & ( icext(X1,sK7(X0,X1))
          | sK7(X0,X1) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ( ( ( ic(X1)
            & ! [X3] :
                ( ( X0 = X3
                  | ~ icext(X1,X3) )
                & ( icext(X1,X3)
                  | X0 != X3 ) ) )
          | ~ iext(uri_owl_oneOf,X1,X2) )
        & ( iext(uri_owl_oneOf,X1,X2)
          | ~ ic(X1)
          | ? [X4] :
              ( ( ~ icext(X1,X4)
                | X0 != X4 )
              & ( icext(X1,X4)
                | X0 = X4 ) ) ) )
      | ~ iext(uri_rdf_first,X2,X0) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X0,X2,X1] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ( ( ( ic(X2)
            & ! [X3] :
                ( ( X0 = X3
                  | ~ icext(X2,X3) )
                & ( icext(X2,X3)
                  | X0 != X3 ) ) )
          | ~ iext(uri_owl_oneOf,X2,X1) )
        & ( iext(uri_owl_oneOf,X2,X1)
          | ~ ic(X2)
          | ? [X3] :
              ( ( ~ icext(X2,X3)
                | X0 != X3 )
              & ( icext(X2,X3)
                | X0 = X3 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0,X2,X1] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ( ( ( ic(X2)
            & ! [X3] :
                ( ( X0 = X3
                  | ~ icext(X2,X3) )
                & ( icext(X2,X3)
                  | X0 != X3 ) ) )
          | ~ iext(uri_owl_oneOf,X2,X1) )
        & ( iext(uri_owl_oneOf,X2,X1)
          | ~ ic(X2)
          | ? [X3] :
              ( ( ~ icext(X2,X3)
                | X0 != X3 )
              & ( icext(X2,X3)
                | X0 = X3 ) ) ) )
      | ~ iext(uri_rdf_first,X1,X0) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X2,X1] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ( ( ic(X2)
          & ! [X3] :
              ( X0 = X3
            <=> icext(X2,X3) ) )
      <=> iext(uri_owl_oneOf,X2,X1) )
      | ~ iext(uri_rdf_first,X1,X0) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0,X2] :
      ( ( ( ic(X2)
          & ! [X3] :
              ( X0 = X3
            <=> icext(X2,X3) ) )
      <=> iext(uri_owl_oneOf,X2,X1) )
      | ~ iext(uri_rdf_first,X1,X0)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X1,X0,X2] :
      ( ( iext(uri_rdf_first,X1,X0)
        & iext(uri_rdf_rest,X1,uri_rdf_nil) )
     => ( ( ic(X2)
          & ! [X3] :
              ( X0 = X3
            <=> icext(X2,X3) ) )
      <=> iext(uri_owl_oneOf,X2,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X6,X5,X4] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X6) )
     => ( ( ! [X1] :
              ( icext(X4,X1)
            <=> X1 = X6 )
          & ic(X4) )
      <=> iext(uri_owl_oneOf,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f309,plain,
    ( uri_ex_w != sK1(uri_ex_p)
    | ~ spl8_8
    | ~ spl8_9 ),
    inference(subsumption_resolution,[],[f308,f115]) ).

fof(f115,plain,
    ( ip(uri_ex_p)
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl8_9
  <=> ip(uri_ex_p) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

fof(f308,plain,
    ( ~ ip(uri_ex_p)
    | uri_ex_w != sK1(uri_ex_p)
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f305,f67]) ).

fof(f67,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(resolution,[],[f40,f56]) ).

fof(f56,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,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/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f40,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) )
      & ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X1,X0] :
      ( 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/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f305,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | uri_ex_w != sK1(uri_ex_p)
    | ~ ip(uri_ex_p)
    | ~ spl8_8 ),
    inference(superposition,[],[f45,f298]) ).

fof(f298,plain,
    ( uri_ex_w = sK2(uri_ex_p)
    | ~ spl8_8 ),
    inference(resolution,[],[f277,f112]) ).

fof(f112,plain,
    ( icext(sK4,sK2(uri_ex_p))
    | ~ spl8_8 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl8_8
  <=> icext(sK4,sK2(uri_ex_p)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

fof(f45,plain,
    ! [X0] :
      ( sK1(X0) != sK2(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK1(X0) != sK2(X0)
          & iext(X0,sK1(X0),sK0(X0))
          & iext(X0,sK2(X0),sK0(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X5,X4)
              | ~ iext(X0,X6,X4) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & iext(X0,X2,X1)
          & iext(X0,X3,X1) )
     => ( sK1(X0) != sK2(X0)
        & iext(X0,sK1(X0),sK0(X0))
        & iext(X0,sK2(X0),sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X2,X1)
            & iext(X0,X3,X1) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X5 = X6
              | ~ iext(X0,X5,X4)
              | ~ iext(X0,X6,X4) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X2,X1)
            & iext(X0,X3,X1) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X2,X1)
              | ~ iext(X0,X3,X1) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & iext(X0,X2,X1)
            & iext(X0,X3,X1) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X2 = X3
              | ~ iext(X0,X2,X1)
              | ~ iext(X0,X3,X1) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f17]) ).

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

fof(f16,plain,
    ! [X0] :
      ( ( ! [X1,X3,X2] :
            ( X2 = X3
            | ~ iext(X0,X2,X1)
            | ~ iext(X0,X3,X1) )
        & ip(X0) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ( ! [X1,X3,X2] :
            ( ( iext(X0,X2,X1)
              & iext(X0,X3,X1) )
           => X2 = X3 )
        & ip(X0) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( ! [X3,X7,X8] :
            ( ( iext(X0,X8,X3)
              & iext(X0,X7,X3) )
           => X7 = X8 )
        & ip(X0) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f131,plain,
    spl8_9,
    inference(avatar_split_clause,[],[f128,f114]) ).

fof(f128,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f124,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_Property,X0)
      | ip(X0) ),
    inference(resolution,[],[f40,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,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/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f124,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference(resolution,[],[f87,f52]) ).

fof(f52,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK4),
    inference(cnf_transformation,[],[f32]) ).

fof(f87,plain,
    ! [X2,X3] :
      ( ~ iext(uri_rdfs_domain,X2,X3)
      | icext(uri_rdf_Property,X2) ),
    inference(resolution,[],[f57,f63]) ).

fof(f63,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/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X2,X1)
      | icext(X1,X3)
      | ~ iext(X2,X3,X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X2,X3,X0)
      | ~ iext(uri_rdfs_domain,X2,X1)
      | icext(X1,X3) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X2,X1,X0,X3] :
      ( ~ iext(X0,X3,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X3) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X3,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X3,X2) )
     => icext(X1,X3) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X3,X1] :
      ( ( iext(uri_rdfs_domain,X0,X2)
        & iext(X0,X1,X3) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f123,plain,
    ( spl8_10
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f118,f114,f120]) ).

fof(f118,plain,
    ( ~ ip(uri_ex_p)
    | icext(sK4,sK1(uri_ex_p)) ),
    inference(subsumption_resolution,[],[f107,f67]) ).

fof(f107,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f86,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( iext(X0,sK1(X0),sK0(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | icext(sK4,X0) ),
    inference(resolution,[],[f57,f52]) ).

fof(f117,plain,
    ( spl8_8
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f108,f114,f110]) ).

fof(f108,plain,
    ( ~ ip(uri_ex_p)
    | icext(sK4,sK2(uri_ex_p)) ),
    inference(subsumption_resolution,[],[f106,f67]) ).

fof(f106,plain,
    ( icext(sK4,sK2(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f86,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( iext(X0,sK2(X0),sK0(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 17:38:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (29389)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (29406)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50  % (29398)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (29382)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (29389)Refutation not found, incomplete strategy% (29389)------------------------------
% 0.19/0.51  % (29389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29389)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29389)Memory used [KB]: 6012
% 0.19/0.51  % (29389)Time elapsed: 0.108 s
% 0.19/0.51  % (29389)Instructions burned: 3 (million)
% 0.19/0.51  % (29389)------------------------------
% 0.19/0.51  % (29389)------------------------------
% 0.19/0.51  % (29386)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (29384)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (29384)Refutation not found, incomplete strategy% (29384)------------------------------
% 0.19/0.51  % (29384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29384)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29384)Memory used [KB]: 5884
% 0.19/0.51  % (29384)Time elapsed: 0.107 s
% 0.19/0.51  % (29384)Instructions burned: 1 (million)
% 0.19/0.51  % (29384)------------------------------
% 0.19/0.51  % (29384)------------------------------
% 0.19/0.51  % (29409)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (29397)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (29406)Refutation not found, incomplete strategy% (29406)------------------------------
% 0.19/0.51  % (29406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29406)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29406)Memory used [KB]: 1407
% 0.19/0.51  % (29406)Time elapsed: 0.104 s
% 0.19/0.51  % (29406)Instructions burned: 3 (million)
% 0.19/0.51  % (29406)------------------------------
% 0.19/0.51  % (29406)------------------------------
% 0.19/0.51  % (29397)Instruction limit reached!
% 0.19/0.51  % (29397)------------------------------
% 0.19/0.51  % (29397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29397)Termination reason: Unknown
% 0.19/0.51  % (29397)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (29397)Memory used [KB]: 5884
% 0.19/0.51  % (29397)Time elapsed: 0.068 s
% 0.19/0.51  % (29397)Instructions burned: 3 (million)
% 0.19/0.51  % (29397)------------------------------
% 0.19/0.51  % (29397)------------------------------
% 0.19/0.51  % (29382)First to succeed.
% 0.19/0.52  % (29398)Also succeeded, but the first one will report.
% 0.19/0.52  % (29382)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (29382)------------------------------
% 0.19/0.52  % (29382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29382)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (29382)Memory used [KB]: 6140
% 0.19/0.52  % (29382)Time elapsed: 0.105 s
% 0.19/0.52  % (29382)Instructions burned: 7 (million)
% 0.19/0.52  % (29382)------------------------------
% 0.19/0.52  % (29382)------------------------------
% 0.19/0.52  % (29381)Success in time 0.167 s
%------------------------------------------------------------------------------