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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:00:40 PM UTC 2026

% Result   : Theorem 0.98s 0.66s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  175 (  41 unt;  13 def)
%            Number of atoms       :  684 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  878 ( 369   ~; 412   |;  61   &)
%                                         (  31 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;  14 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  20 con; 0-2 aty)
%            Number of variables   :  292 (   0 sgn 285   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
     => ( ic(X0)
        & ic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ~ ( icext(X0,X2)
              & icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f7,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( iext(uri_owl_unionOf,uri_ex_c,X2)
      & iext(uri_rdf_first,X2,uri_ex_c1)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_ex_c2)
      & iext(uri_rdf_rest,X3,X4)
      & iext(uri_rdf_first,X4,uri_ex_c3)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
      & iext(uri_rdfs_subClassOf,uri_ex_d,X0)
      & iext(uri_owl_intersectionOf,X0,X5)
      & iext(uri_rdf_first,X5,uri_ex_c)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,X1)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_owl_complementOf,X1,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).

fof(f10,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(flattening,[],[f8]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1) )
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ~ icext(X0,X2)
            | ~ icext(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_disjointWith,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X1,X2)
      | ~ icext(X0,X2) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X4,X5)
      | ~ icext(X0,X5)
      | ~ iext(uri_owl_intersectionOf,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X2,X5)
      | ~ icext(X0,X5)
      | ~ iext(uri_owl_intersectionOf,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ic(X2)
      | ~ iext(uri_owl_intersectionOf,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | icext(X6,X7)
      | icext(X4,X7)
      | icext(X2,X7)
      | ~ icext(X0,X7)
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ic(X6)
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( icext(X0,sK2(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK2(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X0,X2)
      | icext(X1,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f56,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(cnf_transformation,[],[f10]) ).

fof(f57,plain,
    iext(uri_owl_complementOf,sK5,uri_ex_c2),
    inference(cnf_transformation,[],[f9]) ).

fof(f58,plain,
    iext(uri_rdf_rest,sK10,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f59,plain,
    iext(uri_rdf_first,sK10,sK5),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    iext(uri_rdf_rest,sK9,sK10),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    iext(uri_rdf_first,sK9,uri_ex_c),
    inference(cnf_transformation,[],[f9]) ).

fof(f62,plain,
    iext(uri_owl_intersectionOf,sK4,sK9),
    inference(cnf_transformation,[],[f9]) ).

fof(f63,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,sK4),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
    inference(cnf_transformation,[],[f9]) ).

fof(f65,plain,
    iext(uri_rdf_rest,sK8,uri_rdf_nil),
    inference(cnf_transformation,[],[f9]) ).

fof(f66,plain,
    iext(uri_rdf_first,sK8,uri_ex_c3),
    inference(cnf_transformation,[],[f9]) ).

fof(f67,plain,
    iext(uri_rdf_rest,sK7,sK8),
    inference(cnf_transformation,[],[f9]) ).

fof(f68,plain,
    iext(uri_rdf_first,sK7,uri_ex_c2),
    inference(cnf_transformation,[],[f9]) ).

fof(f69,plain,
    iext(uri_rdf_rest,sK6,sK7),
    inference(cnf_transformation,[],[f9]) ).

fof(f70,plain,
    iext(uri_rdf_first,sK6,uri_ex_c1),
    inference(cnf_transformation,[],[f9]) ).

fof(f71,plain,
    iext(uri_owl_unionOf,uri_ex_c,sK6),
    inference(cnf_transformation,[],[f9]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_disjointWith,X0,X1)
      | ~ ic(X0) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | icext(X1,X2)
      | icext(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ic(X2)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_owl_intersectionOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_intersectionOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ icext(X2,X5)
      | icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_intersectionOf,X0,X1)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ icext(X4,X5)
      | icext(X0,X5)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ ic(X6)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ icext(X6,X7)
      | ~ icext(X4,X7)
      | ~ icext(X2,X7)
      | icext(X0,X7)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X1,X2)
      | icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( icext(X1,sK2(X0,X1))
      | ic(X1)
      | ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK2(X0,X1))
      | ic(X1)
      | ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_disjointWith,X0,X1)
      | icext(X0,X2)
      | icext(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f109,plain,
    ~ ic(uri_ex_d),
    inference(resolution,[],[f72,f64]) ).

fof(f114,plain,
    ! [X0] :
      ( icext(sK5,X0)
      | icext(uri_ex_c2,X0) ),
    inference(resolution,[],[f76,f57]) ).

fof(f115,plain,
    ! [X0] :
      ( icext(uri_ex_c1,X0)
      | icext(uri_ex_d,X0) ),
    inference(resolution,[],[f106,f64]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK9,X0)
      | ~ iext(uri_rdf_first,sK9,X2)
      | ~ icext(X2,X3)
      | icext(sK4,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f85,f62]) ).

fof(f140,definition,
    ( spl11_1
  <=> ! [X2,X3] :
        ( ~ iext(uri_rdf_first,sK9,X2)
        | icext(sK4,X3)
        | ~ icext(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

fof(f141,plain,
    ( ! [X2,X3] :
        ( ~ iext(uri_rdf_first,sK9,X2)
        | icext(sK4,X3)
        | ~ icext(X2,X3) )
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f143,definition,
    ( spl11_2
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK9,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

fof(f144,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1) )
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f145,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f138,f143,f140]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,sK9,X0)
      | ~ iext(uri_rdf_first,sK9,X2)
      | ~ icext(X1,X3)
      | icext(sK4,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f86,f62]) ).

fof(f148,definition,
    ( spl11_3
  <=> ! [X2] : ~ iext(uri_rdf_first,sK9,X2) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

fof(f149,plain,
    ( ! [X2] : ~ iext(uri_rdf_first,sK9,X2)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f151,definition,
    ( spl11_4
  <=> ! [X0,X1,X3] :
        ( ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(sK4,X3)
        | ~ icext(X1,X3)
        | ~ iext(uri_rdf_rest,sK9,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).

fof(f152,plain,
    ( ! [X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | icext(sK4,X3)
        | ~ icext(X1,X3)
        | ~ iext(uri_rdf_first,X0,X1) )
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f153,plain,
    ( spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f146,f151,f148]) ).

fof(f155,plain,
    ( $false
    | ~ spl11_3 ),
    inference(backward_subsumption_resolution,[],[f61,f149]) ).

fof(f156,plain,
    ~ spl11_3,
    inference(avatar_contradiction_clause,[],[f155]) ).

fof(f169,definition,
    ( spl11_7
  <=> ic(uri_ex_c) ),
    introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).

fof(f170,plain,
    ( ~ ic(uri_ex_c)
    | spl11_7 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f171,plain,
    ( ic(uri_ex_c)
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f178,definition,
    ( spl11_9
  <=> ! [X4] : ~ iext(uri_rdf_first,sK6,X4) ),
    introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).

fof(f179,plain,
    ( ! [X4] : ~ iext(uri_rdf_first,sK6,X4)
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f184,plain,
    ( $false
    | ~ spl11_9 ),
    inference(backward_subsumption_resolution,[],[f70,f179]) ).

fof(f185,plain,
    ~ spl11_9,
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,sK6,X2)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,sK6,X4)
      | ~ icext(X1,X5)
      | ~ icext(X3,X5)
      | ~ icext(X4,X5)
      | icext(uri_ex_c,X5)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f98,f71]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK10,uri_rdf_nil)
        | ~ iext(uri_rdf_first,sK10,X0) )
    | ~ spl11_2 ),
    inference(resolution,[],[f144,f60]) ).

fof(f209,plain,
    ( ! [X0] : ~ iext(uri_rdf_first,sK10,X0)
    | ~ spl11_2 ),
    inference(forward_subsumption_resolution,[],[f208,f58]) ).

fof(f215,definition,
    ( spl11_12
  <=> ! [X2] : ~ iext(uri_rdf_first,sK7,X2) ),
    introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).

fof(f216,plain,
    ( ! [X2] : ~ iext(uri_rdf_first,sK7,X2)
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f221,plain,
    ( $false
    | ~ spl11_2 ),
    inference(backward_subsumption_resolution,[],[f59,f209]) ).

fof(f222,plain,
    ~ spl11_2,
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f223,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c,X0)
        | icext(sK4,X0) )
    | ~ spl11_1 ),
    inference(resolution,[],[f141,f61]) ).

fof(f224,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK10,uri_rdf_nil)
        | icext(sK4,X0)
        | ~ icext(X1,X0)
        | ~ iext(uri_rdf_first,sK10,X1) )
    | ~ spl11_4 ),
    inference(resolution,[],[f152,f60]) ).

fof(f225,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK10,X1)
        | ~ icext(X1,X0)
        | icext(sK4,X0) )
    | ~ spl11_4 ),
    inference(forward_subsumption_resolution,[],[f224,f58]) ).

fof(f243,plain,
    ( $false
    | ~ spl11_12 ),
    inference(backward_subsumption_resolution,[],[f68,f216]) ).

fof(f244,plain,
    ~ spl11_12,
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f251,plain,
    ( ! [X0] :
        ( icext(sK4,sK2(X0,uri_ex_c))
        | ic(uri_ex_c)
        | ic(X0)
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c) )
    | ~ spl11_1 ),
    inference(resolution,[],[f223,f102]) ).

fof(f253,definition,
    ( spl11_16
  <=> ! [X0] :
        ( icext(sK4,sK2(X0,uri_ex_c))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c)
        | ic(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] :
        ( icext(sK4,sK2(X0,uri_ex_c))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c)
        | ic(X0) )
    | ~ spl11_16 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( spl11_7
    | spl11_16
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f251,f140,f253,f169]) ).

fof(f261,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_first,X2,uri_ex_c)
        | ~ iext(uri_rdf_rest,X2,X0)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_owl_intersectionOf,X3,X2) )
    | ~ spl11_7 ),
    inference(resolution,[],[f171,f79]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ icext(sK5,X0)
        | icext(sK4,X0) )
    | ~ spl11_4 ),
    inference(resolution,[],[f225,f59]) ).

fof(f277,plain,
    ( ! [X0] :
        ( icext(sK4,X0)
        | icext(uri_ex_c2,X0) )
    | ~ spl11_4 ),
    inference(resolution,[],[f271,f114]) ).

fof(f281,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdfs_subClassOf,X1,sK4)
        | icext(X1,X0)
        | icext(uri_ex_c2,X0) )
    | ~ spl11_4 ),
    inference(resolution,[],[f277,f101]) ).

fof(f291,plain,
    ( ! [X0] :
        ( icext(uri_ex_c2,X0)
        | icext(uri_ex_d,X0) )
    | ~ spl11_4 ),
    inference(resolution,[],[f281,f63]) ).

fof(f355,definition,
    ( spl11_17
  <=> ic(uri_ex_c3) ),
    introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).

fof(f356,plain,
    ( ~ ic(uri_ex_c3)
    | spl11_17 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( ic(uri_ex_c3)
    | ~ spl11_17 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f387,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ iext(uri_rdf_first,X0,uri_ex_c3)
        | ~ iext(uri_rdf_rest,X1,X0)
        | ~ iext(uri_rdf_first,X1,X2)
        | ~ iext(uri_rdf_rest,X3,X1)
        | ~ iext(uri_rdf_first,X3,X4)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_owl_unionOf,X5,X3) )
    | ~ spl11_17 ),
    inference(resolution,[],[f357,f90]) ).

fof(f401,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,sK7,X0)
      | ~ iext(uri_rdf_first,sK7,X1)
      | ~ iext(uri_rdf_first,X0,X2)
      | ~ iext(uri_rdf_first,sK6,X3)
      | ~ icext(X2,X4)
      | ~ icext(X1,X4)
      | ~ icext(X3,X4)
      | icext(uri_ex_c,X4)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
    inference(resolution,[],[f197,f69]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,sK8,X1)
      | ~ iext(uri_rdf_first,sK6,X2)
      | ~ icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ icext(X2,X3)
      | icext(uri_ex_c,X3)
      | ~ iext(uri_rdf_rest,sK8,uri_rdf_nil) ),
    inference(resolution,[],[f401,f67]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X1)
      | ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_first,sK6,X2)
      | ~ icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ icext(X2,X3)
      | icext(uri_ex_c,X3) ),
    inference(forward_subsumption_resolution,[],[f411,f65]) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,sK9,X0)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_owl_intersectionOf,X2,sK9) )
    | ~ spl11_7 ),
    inference(resolution,[],[f261,f61]) ).

fof(f464,definition,
    ( spl11_21
  <=> ! [X2] : ~ iext(uri_owl_intersectionOf,X2,sK9) ),
    introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).

fof(f465,plain,
    ( ! [X2] : ~ iext(uri_owl_intersectionOf,X2,sK9)
    | ~ spl11_21 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f466,plain,
    ( spl11_21
    | spl11_2
    | ~ spl11_7 ),
    inference(avatar_split_clause,[],[f462,f169,f143,f464]) ).

fof(f479,plain,
    ! [X2,X0,X1] :
      ( ~ icext(uri_ex_c3,X2)
      | ~ iext(uri_rdf_first,sK6,X1)
      | ~ iext(uri_rdf_first,sK7,X0)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2)
      | icext(uri_ex_c,X2) ),
    inference(resolution,[],[f412,f66]) ).

fof(f480,plain,
    ( $false
    | ~ spl11_21 ),
    inference(backward_subsumption_resolution,[],[f62,f465]) ).

fof(f486,plain,
    ~ spl11_21,
    inference(avatar_contradiction_clause,[],[f480]) ).

fof(f523,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdfs_subClassOf,X1,sK4)
        | ic(X0)
        | icext(X1,sK2(X0,uri_ex_c))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c) )
    | ~ spl11_16 ),
    inference(resolution,[],[f254,f101]) ).

fof(f561,plain,
    ( ! [X0] :
        ( icext(uri_ex_d,sK2(X0,uri_ex_c))
        | ic(X0)
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c) )
    | ~ spl11_16 ),
    inference(resolution,[],[f523,f63]) ).

fof(f565,plain,
    ( ic(uri_ex_d)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
    | ic(uri_ex_c)
    | ic(uri_ex_d)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
    | ~ spl11_16 ),
    inference(resolution,[],[f561,f103]) ).

fof(f568,plain,
    ( ic(uri_ex_d)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
    | ic(uri_ex_c)
    | ~ spl11_16 ),
    inference(duplicate_literal_removal,[],[f565]) ).

fof(f569,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
    | ic(uri_ex_c)
    | ~ spl11_16 ),
    inference(forward_subsumption_resolution,[],[f568,f109]) ).

fof(f570,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
    | spl11_7
    | ~ spl11_16 ),
    inference(forward_subsumption_resolution,[],[f569,f170]) ).

fof(f585,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | ~ iext(uri_rdf_first,sK7,X1)
      | ~ icext(X1,sK2(X2,uri_ex_c3))
      | ~ icext(X0,sK2(X2,uri_ex_c3))
      | icext(uri_ex_c,sK2(X2,uri_ex_c3))
      | ic(uri_ex_c3)
      | ic(X2)
      | iext(uri_rdfs_subClassOf,X2,uri_ex_c3) ),
    inference(resolution,[],[f479,f102]) ).

fof(f645,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ iext(uri_rdf_rest,X0,sK8)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X2,X0)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
        | ~ iext(uri_owl_unionOf,X4,X2) )
    | ~ spl11_17 ),
    inference(resolution,[],[f387,f66]) ).

fof(f646,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ iext(uri_rdf_rest,X0,sK8)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_rest,X2,X0)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_owl_unionOf,X4,X2) )
    | ~ spl11_17 ),
    inference(forward_subsumption_resolution,[],[f645,f65]) ).

fof(f705,definition,
    ( spl11_47
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_first,sK6,X0)
        | iext(uri_rdfs_subClassOf,X2,uri_ex_c3)
        | ic(X2)
        | icext(uri_ex_c,sK2(X2,uri_ex_c3))
        | ~ icext(X0,sK2(X2,uri_ex_c3))
        | ~ icext(X1,sK2(X2,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK7,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl11_47])],[avatar_definition]) ).

fof(f706,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_first,sK7,X1)
        | iext(uri_rdfs_subClassOf,X2,uri_ex_c3)
        | ic(X2)
        | icext(uri_ex_c,sK2(X2,uri_ex_c3))
        | ~ icext(X0,sK2(X2,uri_ex_c3))
        | ~ icext(X1,sK2(X2,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK6,X0) )
    | ~ spl11_47 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl11_17
    | spl11_47 ),
    inference(avatar_split_clause,[],[f585,f705,f355]) ).

fof(f866,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_first,sK7,X0)
        | ~ iext(uri_rdf_rest,X1,sK7)
        | ~ iext(uri_rdf_first,X1,X2)
        | ~ iext(uri_owl_unionOf,X3,X1) )
    | ~ spl11_17 ),
    inference(resolution,[],[f646,f67]) ).

fof(f868,definition,
    ( spl11_57
  <=> ! [X2,X1,X3] :
        ( ~ iext(uri_rdf_rest,X1,sK7)
        | ~ iext(uri_owl_unionOf,X3,X1)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl11_57])],[avatar_definition]) ).

fof(f869,plain,
    ( ! [X2,X3,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK7)
        | ~ iext(uri_owl_unionOf,X3,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl11_57 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f870,plain,
    ( spl11_57
    | spl11_12
    | ~ spl11_17 ),
    inference(avatar_split_clause,[],[f866,f355,f215,f868]) ).

fof(f973,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_owl_unionOf,X0,sK6)
        | ~ iext(uri_rdf_first,sK6,X1) )
    | ~ spl11_57 ),
    inference(resolution,[],[f869,f69]) ).

fof(f975,definition,
    ( spl11_67
  <=> ! [X0] : ~ iext(uri_owl_unionOf,X0,sK6) ),
    introduced(definition,[new_symbols(definition,[spl11_67])],[avatar_definition]) ).

fof(f976,plain,
    ( ! [X0] : ~ iext(uri_owl_unionOf,X0,sK6)
    | ~ spl11_67 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f977,plain,
    ( spl11_9
    | spl11_67
    | ~ spl11_57 ),
    inference(avatar_split_clause,[],[f973,f868,f975,f178]) ).

fof(f979,plain,
    ( $false
    | ~ spl11_67 ),
    inference(backward_subsumption_resolution,[],[f71,f976]) ).

fof(f984,plain,
    ~ spl11_67,
    inference(avatar_contradiction_clause,[],[f979]) ).

fof(f1153,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK6,X1)
        | ic(X0)
        | icext(uri_ex_c,sK2(X0,uri_ex_c3))
        | ~ icext(X1,sK2(X0,uri_ex_c3))
        | ~ icext(uri_ex_c2,sK2(X0,uri_ex_c3))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3) )
    | ~ spl11_47 ),
    inference(resolution,[],[f706,f68]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c1,sK2(X0,uri_ex_c3))
        | icext(uri_ex_c,sK2(X0,uri_ex_c3))
        | ic(X0)
        | ~ icext(uri_ex_c2,sK2(X0,uri_ex_c3))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3) )
    | ~ spl11_47 ),
    inference(resolution,[],[f1153,f70]) ).

fof(f1560,plain,
    ( ! [X0] :
        ( icext(uri_ex_c,sK2(X0,uri_ex_c3))
        | ic(X0)
        | ~ icext(uri_ex_c2,sK2(X0,uri_ex_c3))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | icext(uri_ex_d,sK2(X0,uri_ex_c3)) )
    | ~ spl11_47 ),
    inference(resolution,[],[f1370,f115]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( icext(uri_ex_c,sK2(X0,uri_ex_c3))
        | ic(X0)
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | icext(uri_ex_d,sK2(X0,uri_ex_c3)) )
    | ~ spl11_4
    | ~ spl11_47 ),
    inference(forward_subsumption_resolution,[],[f1560,f291]) ).

fof(f1764,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdfs_subClassOf,X1,uri_ex_c)
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | icext(uri_ex_d,sK2(X0,uri_ex_c3))
        | icext(X1,sK2(X0,uri_ex_c3))
        | ic(X0) )
    | ~ spl11_4
    | ~ spl11_47 ),
    inference(resolution,[],[f1561,f101]) ).

fof(f2059,plain,
    ( ! [X0] :
        ( iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | icext(uri_ex_d,sK2(X0,uri_ex_c3))
        | icext(uri_ex_d,sK2(X0,uri_ex_c3))
        | ic(X0) )
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(resolution,[],[f1764,f570]) ).

fof(f2065,plain,
    ( ! [X0] :
        ( icext(uri_ex_d,sK2(X0,uri_ex_c3))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | ic(X0) )
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(duplicate_literal_removal,[],[f2059]) ).

fof(f2192,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
    | ic(uri_ex_d)
    | ic(uri_ex_c3)
    | ic(uri_ex_d)
    | iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(resolution,[],[f2065,f103]) ).

fof(f2195,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
    | ic(uri_ex_d)
    | ic(uri_ex_c3)
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(duplicate_literal_removal,[],[f2192]) ).

fof(f2196,plain,
    ( ic(uri_ex_d)
    | ic(uri_ex_c3)
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(forward_subsumption_resolution,[],[f2195,f56]) ).

fof(f2197,plain,
    ( ic(uri_ex_c3)
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | ~ spl11_47 ),
    inference(forward_subsumption_resolution,[],[f2196,f109]) ).

fof(f2198,plain,
    ( $false
    | ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | spl11_17
    | ~ spl11_47 ),
    inference(forward_subsumption_resolution,[],[f2197,f356]) ).

fof(f2199,plain,
    ( ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | spl11_17
    | ~ spl11_47 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

cnf(s1,plain,
    ( spl11_1
    | spl11_2 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s2,plain,
    ( spl11_3
    | spl11_4 ),
    inference(sat_conversion,[],[f153]) ).

cnf(s3,plain,
    ~ spl11_3,
    inference(sat_conversion,[],[f156]) ).

cnf(s7,plain,
    ~ spl11_9,
    inference(sat_conversion,[],[f185]) ).

cnf(s10,plain,
    ~ spl11_2,
    inference(sat_conversion,[],[f222]) ).

cnf(s12,plain,
    ~ spl11_12,
    inference(sat_conversion,[],[f244]) ).

cnf(s14,plain,
    ( ~ spl11_1
    | spl11_7
    | spl11_16 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s19,plain,
    ( spl11_2
    | ~ spl11_7
    | spl11_21 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s21,plain,
    ~ spl11_21,
    inference(sat_conversion,[],[f486]) ).

cnf(s47,plain,
    ( spl11_17
    | spl11_47 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s60,plain,
    ( spl11_12
    | ~ spl11_17
    | spl11_57 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s70,plain,
    ( spl11_9
    | ~ spl11_57
    | spl11_67 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s71,plain,
    ~ spl11_67,
    inference(sat_conversion,[],[f984]) ).

cnf(s171,plain,
    ( ~ spl11_4
    | spl11_7
    | ~ spl11_16
    | spl11_17
    | ~ spl11_47 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s172,plain,
    ( spl11_9
    | ~ spl11_57 ),
    inference(rat,[],[s70,s71]) ).

cnf(s173,plain,
    ( spl11_2
    | ~ spl11_7 ),
    inference(rat,[],[s19,s21]) ).

cnf(s175,plain,
    ~ spl11_7,
    inference(rat,[],[s173,s10]) ).

cnf(s178,plain,
    ~ spl11_57,
    inference(rat,[],[s172,s7]) ).

cnf(s180,plain,
    ~ spl11_17,
    inference(rat,[],[s60,s12,s178]) ).

cnf(s189,plain,
    spl11_47,
    inference(rat,[],[s47,s180]) ).

cnf(s199,plain,
    spl11_4,
    inference(rat,[],[s2,s3]) ).

cnf(s200,plain,
    ~ spl11_16,
    inference(rat,[],[s171,s189,s180,s175,s199]) ).

cnf(s203,plain,
    ~ spl11_1,
    inference(rat,[],[s14,s175,s200]) ).

cnf(s204,plain,
    $false,
    inference(rat,[],[s1,s10,s203]) ).

fof(f2200,plain,
    $false,
    inference(avatar_sat_refutation,[],[s204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41  % Computer : n026.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Mon Sep 28 07:06:56 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47  Running first-order model finding
% 0.14/0.47  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.98/0.66  % (3664512)Will run a generic schedule for satisfiability detection.
% 0.98/0.66  % (3664517)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1921310571_2999 on theBenchmark for (2999ds/0Mi)
% 0.98/0.66  % TRYING [1]
% 0.98/0.66  % TRYING [2]
% 0.98/0.66  % TRYING [3]
% 0.98/0.66  % (3664518)% WARNING: option uhcvi not known.
% 0.98/0.66  % (3664520)dis+10_1_sil=32000:sp=arity:random_seed=969678142:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.98/0.66  % (3664521)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4203407792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.98/0.66  % (3664519)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3021891397:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.98/0.66  % (3664518)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3976627352:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.98/0.66  % (3664523)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1578297262:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.98/0.66  % (3664522)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1317914146:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.98/0.66  % (3664521)Instruction limit reached! 
% 0.98/0.66  % (3664521)------------------------------
% 0.98/0.66  % (3664521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.66  % (3664521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.66  % (3664521)CaDiCaL version: 2.1.3
% 0.98/0.66  % (3664521)Termination reason: Instruction limit
% 0.98/0.66  % (3664521)Termination phase: Saturation
% 0.98/0.66  % (3664521)Time elapsed: 0.087 s
% 0.98/0.66  % (3664521)Peak memory usage: 11 MB
% 0.98/0.66  % (3664521)Instructions burned: 116 (million)
% 0.98/0.66  % (3664520)Instruction limit reached! 
% 0.98/0.66  % (3664520)------------------------------
% 0.98/0.66  % (3664520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.66  % (3664520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.66  % (3664520)CaDiCaL version: 2.1.3
% 0.98/0.66  % (3664520)Termination reason: Instruction limit
% 0.98/0.66  % (3664520)Termination phase: Saturation
% 0.98/0.66  % (3664520)Time elapsed: 0.098 s
% 0.98/0.66  % (3664520)Peak memory usage: 12 MB
% 0.98/0.66  % (3664520)Instructions burned: 103 (million)
% 0.98/0.66  % (3664518) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3664512-3664518"...
% 0.98/0.66  % TRYING [4]
% 0.98/0.66  % (3664518)...printing done.
% 0.98/0.66  % (3664518)Refutation found. Thanks to Tanya!
% 0.98/0.66  % SZS status Theorem for theBenchmark
% 0.98/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.66  % (3664518)------------------------------
% 0.98/0.66  % (3664518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.66  % (3664518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.66  % (3664518)CaDiCaL version: 2.1.3
% 0.98/0.66  % (3664518)Termination reason: Refutation
% 0.98/0.66  % (3664518)Time elapsed: 0.118 s
% 0.98/0.66  % (3664518)Peak memory usage: 13 MB
% 0.98/0.66  % (3664518)Instructions burned: 104 (million)
% 0.98/0.66  % (3664512)Success in time 0.176 s
% 0.98/0.66  % Vampire exiting
%------------------------------------------------------------------------------