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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB021+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 01:00:08 PM UTC 2026

% Result   : Theorem 4.90s 1.67s
% Output   : Refutation 6.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  263 (  57 unt;  19 def)
%            Number of atoms       : 1262 ( 167 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives : 1717 ( 718   ~; 773   |; 182   &)
%                                         (  39 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  20 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  23 con; 0-4 aty)
%            Number of variables   :  468 (   0 sgn 447   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f241,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_oneOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).

fof(f270,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_unionOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).

fof(f289,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_unionOf,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_unionof_class_002) ).

fof(f296,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_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_002) ).

fof(f297,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_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = X6 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_003) ).

fof(f351,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f559,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( iext(uri_owl_oneOf,uri_ex_c1,X0)
      & iext(uri_rdf_first,X0,uri_ex_w1)
      & iext(uri_rdf_rest,X0,X1)
      & iext(uri_rdf_first,X1,uri_ex_w2)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c2,X2)
      & iext(uri_rdf_first,X2,uri_ex_w2)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_ex_w3)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c3,X4)
      & iext(uri_rdf_first,X4,uri_ex_w1)
      & iext(uri_rdf_rest,X4,X5)
      & iext(uri_rdf_first,X5,uri_ex_w2)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,uri_ex_w3)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_owl_unionOf,uri_ex_c4,X7)
      & iext(uri_rdf_first,X7,uri_ex_c1)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_first,X8,uri_ex_c2)
      & iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).

fof(f562,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(flattening,[],[f560]) ).

fof(f570,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = 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) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f571,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( X7 = X2
                | X7 = X4
                | X7 = 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) ),
    inference(flattening,[],[f570]) ).

fof(f572,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = 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) ),
    inference(ennf_transformation,[],[f296]) ).

fof(f573,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( X5 = X2
                | X5 = 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) ),
    inference(flattening,[],[f572]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & icext(uri_rdf_List,X1) )
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(ennf_transformation,[],[f241]) ).

fof(f585,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,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,[],[f289]) ).

fof(f586,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_unionOf,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,[],[f585]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & icext(uri_rdf_List,X1) )
      | ~ iext(uri_owl_unionOf,X0,X1) ),
    inference(ennf_transformation,[],[f270]) ).

fof(f606,plain,
    ( iext(uri_owl_oneOf,uri_ex_c1,sK0)
    & iext(uri_rdf_first,sK0,uri_ex_w1)
    & iext(uri_rdf_rest,sK0,sK1)
    & iext(uri_rdf_first,sK1,uri_ex_w2)
    & iext(uri_rdf_rest,sK1,uri_rdf_nil)
    & iext(uri_owl_oneOf,uri_ex_c2,sK2)
    & iext(uri_rdf_first,sK2,uri_ex_w2)
    & iext(uri_rdf_rest,sK2,sK3)
    & iext(uri_rdf_first,sK3,uri_ex_w3)
    & iext(uri_rdf_rest,sK3,uri_rdf_nil)
    & iext(uri_owl_oneOf,uri_ex_c3,sK4)
    & iext(uri_rdf_first,sK4,uri_ex_w1)
    & iext(uri_rdf_rest,sK4,sK5)
    & iext(uri_rdf_first,sK5,uri_ex_w2)
    & iext(uri_rdf_rest,sK5,sK6)
    & iext(uri_rdf_first,sK6,uri_ex_w3)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_owl_unionOf,uri_ex_c4,sK7)
    & iext(uri_rdf_first,sK7,uri_ex_c1)
    & iext(uri_rdf_rest,sK7,sK8)
    & iext(uri_rdf_first,sK8,uri_ex_c2)
    & iext(uri_rdf_rest,sK8,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f561]) ).

fof(f607,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f351]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f607]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f608]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ( ~ icext(X1,sK9(X0,X1))
            | ~ icext(X0,sK9(X0,X1)) )
          & ( icext(X1,sK9(X0,X1))
            | icext(X0,sK9(X0,X1)) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f609]) ).

fof(f611,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X7] :
              ( ( ( X2 != X7
                  & X4 != X7
                  & X6 != X7 )
                | ~ icext(X0,X7) )
              & ( X7 = X2
                | X7 = X4
                | X7 = X6
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ( X2 != X7
                    & X4 != X7
                    & X6 != X7 ) )
                & ( X7 = X2
                  | X7 = X4
                  | X7 = X6
                  | ~ icext(X0,X7) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(nnf_transformation,[],[f571]) ).

fof(f612,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X7] :
              ( ( ( X2 != X7
                  & X4 != X7
                  & X6 != X7 )
                | ~ icext(X0,X7) )
              & ( X7 = X2
                | X7 = X4
                | X7 = X6
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ( X2 != X7
                    & X4 != X7
                    & X6 != X7 ) )
                & ( X7 = X2
                  | X7 = X4
                  | X7 = X6
                  | ~ icext(X0,X7) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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,[],[f611]) ).

fof(f613,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X7] :
              ( ( ( X2 != X7
                  & X4 != X7
                  & X6 != X7 )
                | ~ icext(X0,X7) )
              & ( X7 = X2
                | X7 = X4
                | X7 = X6
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ( X2 != X8
                    & X4 != X8
                    & X6 != X8 ) )
                & ( X2 = X8
                  | X4 = X8
                  | X6 = X8
                  | ~ icext(X0,X8) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(rectify,[],[f612]) ).

fof(f614,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( ( sK10(X0,X2,X4,X6) != X2
                & sK10(X0,X2,X4,X6) != X4
                & sK10(X0,X2,X4,X6) != X6 )
              | ~ icext(X0,sK10(X0,X2,X4,X6)) )
            & ( sK10(X0,X2,X4,X6) = X2
              | sK10(X0,X2,X4,X6) = X4
              | sK10(X0,X2,X4,X6) = X6
              | icext(X0,sK10(X0,X2,X4,X6)) ) ) )
        & ( ( ic(X0)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ( X2 != X8
                    & X4 != X8
                    & X6 != X8 ) )
                & ( X2 = X8
                  | X4 = X8
                  | X6 = X8
                  | ~ icext(X0,X8) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X7,sK10(X0,X2,X4,X6))],[f613]) ).

fof(f615,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( X2 != X5
                    & X4 != X5 ) )
                & ( X5 = X2
                  | X5 = X4
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(nnf_transformation,[],[f573]) ).

fof(f616,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( X2 != X5
                    & X4 != X5 ) )
                & ( X5 = X2
                  | X5 = X4
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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,[],[f615]) ).

fof(f617,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X5] :
              ( ( ( X2 != X5
                  & X4 != X5 )
                | ~ icext(X0,X5) )
              & ( X5 = X2
                | X5 = X4
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( X2 != X6
                    & X4 != X6 ) )
                & ( X2 = X6
                  | X4 = X6
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(rectify,[],[f616]) ).

fof(f618,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( ( sK11(X0,X2,X4) != X2
                & sK11(X0,X2,X4) != X4 )
              | ~ icext(X0,sK11(X0,X2,X4)) )
            & ( sK11(X0,X2,X4) = X2
              | sK11(X0,X2,X4) = X4
              | icext(X0,sK11(X0,X2,X4)) ) ) )
        & ( ( ic(X0)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( X2 != X6
                    & X4 != X6 ) )
                & ( X2 = X6
                  | X4 = X6
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X5,sK11(X0,X2,X4))],[f617]) ).

fof(f631,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ? [X5] :
              ( ( ( ~ icext(X2,X5)
                  & ~ icext(X4,X5) )
                | ~ icext(X0,X5) )
              & ( icext(X2,X5)
                | icext(X4,X5)
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( ~ icext(X2,X5)
                    & ~ icext(X4,X5) ) )
                & ( icext(X2,X5)
                  | icext(X4,X5)
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_unionOf,X0,X1) ) )
      | ~ 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(nnf_transformation,[],[f586]) ).

fof(f632,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ? [X5] :
              ( ( ( ~ icext(X2,X5)
                  & ~ icext(X4,X5) )
                | ~ icext(X0,X5) )
              & ( icext(X2,X5)
                | icext(X4,X5)
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ! [X5] :
                ( ( icext(X0,X5)
                  | ( ~ icext(X2,X5)
                    & ~ icext(X4,X5) ) )
                & ( icext(X2,X5)
                  | icext(X4,X5)
                  | ~ icext(X0,X5) ) ) )
          | ~ iext(uri_owl_unionOf,X0,X1) ) )
      | ~ 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,[],[f631]) ).

fof(f633,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ? [X5] :
              ( ( ( ~ icext(X2,X5)
                  & ~ icext(X4,X5) )
                | ~ icext(X0,X5) )
              & ( icext(X2,X5)
                | icext(X4,X5)
                | icext(X0,X5) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( ~ icext(X2,X6)
                    & ~ icext(X4,X6) ) )
                & ( icext(X2,X6)
                  | icext(X4,X6)
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_unionOf,X0,X1) ) )
      | ~ 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(rectify,[],[f632]) ).

fof(f634,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ( ( ( ~ icext(X2,sK15(X0,X2,X4))
                & ~ icext(X4,sK15(X0,X2,X4)) )
              | ~ icext(X0,sK15(X0,X2,X4)) )
            & ( icext(X2,sK15(X0,X2,X4))
              | icext(X4,sK15(X0,X2,X4))
              | icext(X0,sK15(X0,X2,X4)) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ! [X6] :
                ( ( icext(X0,X6)
                  | ( ~ icext(X2,X6)
                    & ~ icext(X4,X6) ) )
                & ( icext(X2,X6)
                  | icext(X4,X6)
                  | ~ icext(X0,X6) ) ) )
          | ~ iext(uri_owl_unionOf,X0,X1) ) )
      | ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X5,sK15(X0,X2,X4))],[f633]) ).

fof(f656,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(cnf_transformation,[],[f562]) ).

fof(f657,plain,
    iext(uri_rdf_rest,sK8,uri_rdf_nil),
    inference(cnf_transformation,[],[f606]) ).

fof(f658,plain,
    iext(uri_rdf_first,sK8,uri_ex_c2),
    inference(cnf_transformation,[],[f606]) ).

fof(f659,plain,
    iext(uri_rdf_rest,sK7,sK8),
    inference(cnf_transformation,[],[f606]) ).

fof(f660,plain,
    iext(uri_rdf_first,sK7,uri_ex_c1),
    inference(cnf_transformation,[],[f606]) ).

fof(f661,plain,
    iext(uri_owl_unionOf,uri_ex_c4,sK7),
    inference(cnf_transformation,[],[f606]) ).

fof(f662,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f606]) ).

fof(f663,plain,
    iext(uri_rdf_first,sK6,uri_ex_w3),
    inference(cnf_transformation,[],[f606]) ).

fof(f664,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f606]) ).

fof(f665,plain,
    iext(uri_rdf_first,sK5,uri_ex_w2),
    inference(cnf_transformation,[],[f606]) ).

fof(f666,plain,
    iext(uri_rdf_rest,sK4,sK5),
    inference(cnf_transformation,[],[f606]) ).

fof(f667,plain,
    iext(uri_rdf_first,sK4,uri_ex_w1),
    inference(cnf_transformation,[],[f606]) ).

fof(f668,plain,
    iext(uri_owl_oneOf,uri_ex_c3,sK4),
    inference(cnf_transformation,[],[f606]) ).

fof(f669,plain,
    iext(uri_rdf_rest,sK3,uri_rdf_nil),
    inference(cnf_transformation,[],[f606]) ).

fof(f670,plain,
    iext(uri_rdf_first,sK3,uri_ex_w3),
    inference(cnf_transformation,[],[f606]) ).

fof(f671,plain,
    iext(uri_rdf_rest,sK2,sK3),
    inference(cnf_transformation,[],[f606]) ).

fof(f672,plain,
    iext(uri_rdf_first,sK2,uri_ex_w2),
    inference(cnf_transformation,[],[f606]) ).

fof(f673,plain,
    iext(uri_owl_oneOf,uri_ex_c2,sK2),
    inference(cnf_transformation,[],[f606]) ).

fof(f674,plain,
    iext(uri_rdf_rest,sK1,uri_rdf_nil),
    inference(cnf_transformation,[],[f606]) ).

fof(f675,plain,
    iext(uri_rdf_first,sK1,uri_ex_w2),
    inference(cnf_transformation,[],[f606]) ).

fof(f676,plain,
    iext(uri_rdf_rest,sK0,sK1),
    inference(cnf_transformation,[],[f606]) ).

fof(f677,plain,
    iext(uri_rdf_first,sK0,uri_ex_w1),
    inference(cnf_transformation,[],[f606]) ).

fof(f678,plain,
    iext(uri_owl_oneOf,uri_ex_c1,sK0),
    inference(cnf_transformation,[],[f606]) ).

fof(f683,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,X1)
      | icext(X1,sK9(X0,X1))
      | icext(X0,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f684,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK9(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f691,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | X4 = X8
      | X6 = X8
      | ~ icext(X0,X8)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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)
      | X2 = X8 ),
    inference(cnf_transformation,[],[f614]) ).

fof(f692,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( icext(X0,X8)
      | X6 != X8
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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(cnf_transformation,[],[f614]) ).

fof(f693,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( icext(X0,X8)
      | X4 != X8
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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(cnf_transformation,[],[f614]) ).

fof(f694,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( icext(X0,X8)
      | X2 != X8
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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(cnf_transformation,[],[f614]) ).

fof(f700,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | X4 = X6
      | ~ icext(X0,X6)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X2 = X6 ),
    inference(cnf_transformation,[],[f618]) ).

fof(f701,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( icext(X0,X6)
      | X4 != X6
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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(cnf_transformation,[],[f618]) ).

fof(f702,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( icext(X0,X6)
      | X2 != X6
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ 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(cnf_transformation,[],[f618]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f733,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | icext(X4,X6)
      | ~ icext(X0,X6)
      | ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | icext(X2,X6) ),
    inference(cnf_transformation,[],[f634]) ).

fof(f734,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ icext(X4,X6)
      | ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | icext(X0,X6) ),
    inference(cnf_transformation,[],[f634]) ).

fof(f735,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ icext(X2,X6)
      | ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | icext(X0,X6) ),
    inference(cnf_transformation,[],[f634]) ).

fof(f753,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f589]) ).

fof(f796,plain,
    ! [X3,X0,X1,X8,X6,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | icext(X0,X8)
      | ~ iext(uri_rdf_first,X1,X8)
      | ~ 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(equality_resolution,[],[f694]) ).

fof(f797,plain,
    ! [X2,X3,X0,X1,X8,X6,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | icext(X0,X8)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X8)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(equality_resolution,[],[f693]) ).

fof(f798,plain,
    ! [X2,X3,X0,X1,X8,X4,X5] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | icext(X0,X8)
      | ~ 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,X8)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(equality_resolution,[],[f692]) ).

fof(f799,plain,
    ! [X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X6)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | icext(X0,X6) ),
    inference(equality_resolution,[],[f702]) ).

fof(f800,plain,
    ! [X2,X3,X0,X1,X6] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X6)
      | icext(X0,X6) ),
    inference(equality_resolution,[],[f701]) ).

fof(f802,plain,
    ic(uri_ex_c4),
    inference(resolution,[],[f753,f661]) ).

fof(f803,plain,
    ic(uri_ex_c3),
    inference(resolution,[],[f717,f668]) ).

fof(f804,plain,
    ! [X0] :
      ( ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,uri_ex_c4)
      | icext(uri_ex_c4,sK9(X0,uri_ex_c4))
      | icext(X0,sK9(X0,uri_ex_c4)) ),
    inference(resolution,[],[f683,f802]) ).

fof(f843,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | icext(uri_ex_c4,sK9(uri_ex_c3,uri_ex_c4))
    | icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4)) ),
    inference(resolution,[],[f804,f803]) ).

fof(f845,plain,
    ( icext(uri_ex_c4,sK9(uri_ex_c3,uri_ex_c4))
    | icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4)) ),
    inference(forward_subsumption_resolution,[],[f843,f656]) ).

fof(f854,definition,
    ( spl23_8
  <=> icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4)) ),
    introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).

fof(f855,plain,
    ( icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_8 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,definition,
    ( spl23_9
  <=> icext(uri_ex_c4,sK9(uri_ex_c3,uri_ex_c4)) ),
    introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).

fof(f858,plain,
    ( icext(uri_ex_c4,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_9 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f859,plain,
    ( spl23_8
    | spl23_9 ),
    inference(avatar_split_clause,[],[f845,f857,f854]) ).

fof(f876,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK1)
      | ~ icext(X2,X1)
      | ~ iext(uri_owl_oneOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK1,X0)
      | X1 = X4 ),
    inference(resolution,[],[f674,f700]) ).

fof(f883,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,sK1)
      | ~ iext(uri_rdf_first,sK1,X3)
      | icext(X0,X2) ),
    inference(resolution,[],[f674,f799]) ).

fof(f888,definition,
    ( spl23_10
  <=> ! [X3] : ~ iext(uri_rdf_first,sK1,X3) ),
    introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).

fof(f889,plain,
    ( ! [X3] : ~ iext(uri_rdf_first,sK1,X3)
    | ~ spl23_10 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,definition,
    ( spl23_11
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_owl_oneOf,X0,X1)
        | icext(X0,X2)
        | ~ iext(uri_rdf_rest,X1,sK1)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl23_11])],[avatar_definition]) ).

fof(f892,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK1)
        | icext(X0,X2)
        | ~ iext(uri_owl_oneOf,X0,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl23_11 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( spl23_10
    | spl23_11 ),
    inference(avatar_split_clause,[],[f883,f891,f888]) ).

fof(f898,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK0)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK0,X2)
      | X1 = X3
      | ~ iext(uri_rdf_first,sK1,X3)
      | X1 = X2 ),
    inference(resolution,[],[f876,f676]) ).

fof(f906,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK8)
      | ~ icext(X2,X1)
      | ~ iext(uri_owl_unionOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | icext(X0,X1)
      | ~ iext(uri_rdf_first,sK8,X0)
      | icext(X4,X1) ),
    inference(resolution,[],[f657,f733]) ).

fof(f907,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK8)
      | ~ iext(uri_owl_unionOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK8,X0)
      | icext(X2,X1) ),
    inference(resolution,[],[f657,f734]) ).

fof(f908,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ icext(X0,X1)
      | ~ iext(uri_owl_unionOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X0)
      | ~ iext(uri_rdf_rest,X3,sK8)
      | ~ iext(uri_rdf_first,sK8,X4)
      | icext(X2,X1) ),
    inference(resolution,[],[f657,f735]) ).

fof(f916,definition,
    ( spl23_13
  <=> ! [X3] : ~ iext(uri_rdf_first,sK8,X3) ),
    introduced(definition,[new_symbols(definition,[spl23_13])],[avatar_definition]) ).

fof(f917,plain,
    ( ! [X3] : ~ iext(uri_rdf_first,sK8,X3)
    | ~ spl23_13 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f923,definition,
    ( spl23_15
  <=> ! [X0,X3,X2,X1] :
        ( ~ icext(X0,X1)
        | icext(X2,X1)
        | ~ iext(uri_rdf_rest,X3,sK8)
        | ~ iext(uri_owl_unionOf,X2,X3)
        | ~ iext(uri_rdf_first,X3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl23_15])],[avatar_definition]) ).

fof(f924,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,X3,sK8)
        | icext(X2,X1)
        | ~ icext(X0,X1)
        | ~ iext(uri_owl_unionOf,X2,X3)
        | ~ iext(uri_rdf_first,X3,X0) )
    | ~ spl23_15 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f925,plain,
    ( spl23_13
    | spl23_15 ),
    inference(avatar_split_clause,[],[f908,f923,f916]) ).

fof(f928,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,sK7)
      | ~ iext(uri_rdf_first,sK7,X1)
      | ~ icext(X2,X3)
      | ~ iext(uri_rdf_first,sK8,X2)
      | icext(X0,X3) ),
    inference(resolution,[],[f907,f659]) ).

fof(f929,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,sK7)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK7,X2)
      | icext(X3,X1)
      | ~ iext(uri_rdf_first,sK8,X3)
      | icext(X2,X1) ),
    inference(resolution,[],[f906,f659]) ).

fof(f931,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X6,sK6)
      | X1 = X2
      | ~ icext(X3,X1)
      | ~ iext(uri_owl_oneOf,X3,X4)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X4,X6)
      | ~ iext(uri_rdf_first,X6,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK6,X2)
      | X1 = X5 ),
    inference(resolution,[],[f662,f691]) ).

fof(f955,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,X3,sK5)
      | ~ icext(X2,X0)
      | ~ iext(uri_owl_oneOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK5,X5)
      | X0 = X5
      | ~ iext(uri_rdf_first,sK6,X1)
      | X0 = X4 ),
    inference(resolution,[],[f931,f664]) ).

fof(f960,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK3)
      | ~ icext(X2,X1)
      | ~ iext(uri_owl_oneOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK3,X0)
      | X1 = X4 ),
    inference(resolution,[],[f669,f700]) ).

fof(f967,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,sK3)
      | ~ iext(uri_rdf_first,sK3,X3)
      | icext(X0,X2) ),
    inference(resolution,[],[f669,f799]) ).

fof(f968,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,X1,sK3)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,sK3,X3)
      | icext(X0,X3) ),
    inference(resolution,[],[f669,f800]) ).

fof(f972,definition,
    ( spl23_19
  <=> ! [X3] : ~ iext(uri_rdf_first,sK3,X3) ),
    introduced(definition,[new_symbols(definition,[spl23_19])],[avatar_definition]) ).

fof(f973,plain,
    ( ! [X3] : ~ iext(uri_rdf_first,sK3,X3)
    | ~ spl23_19 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,definition,
    ( spl23_20
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_owl_oneOf,X0,X1)
        | icext(X0,X2)
        | ~ iext(uri_rdf_rest,X1,sK3)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).

fof(f976,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK3)
        | icext(X0,X2)
        | ~ iext(uri_owl_oneOf,X0,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl23_20 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f977,plain,
    ( spl23_19
    | spl23_20 ),
    inference(avatar_split_clause,[],[f967,f975,f972]) ).

fof(f982,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK2)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK2,X2)
      | X1 = X3
      | ~ iext(uri_rdf_first,sK3,X3)
      | X1 = X2 ),
    inference(resolution,[],[f960,f671]) ).

fof(f986,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK2,X0)
      | ~ iext(uri_owl_oneOf,X1,sK2)
      | ~ iext(uri_rdf_first,sK3,X2)
      | icext(X1,X2) ),
    inference(resolution,[],[f968,f671]) ).

fof(f987,plain,
    ( $false
    | ~ spl23_10 ),
    inference(unit_resulting_resolution,[],[f889,f675]) ).

fof(f990,plain,
    ~ spl23_10,
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f1002,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_owl_oneOf,X0,sK0)
        | icext(X0,X1)
        | ~ iext(uri_rdf_first,sK0,X1) )
    | ~ spl23_11 ),
    inference(resolution,[],[f892,f676]) ).

fof(f1003,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK1,X2)
      | ~ iext(uri_rdf_first,sK0,X1)
      | X0 = X2
      | ~ icext(uri_ex_c1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f898,f678]) ).

fof(f1005,plain,
    ( $false
    | ~ spl23_19 ),
    inference(unit_resulting_resolution,[],[f973,f670]) ).

fof(f1008,plain,
    ~ spl23_19,
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1010,definition,
    ( spl23_25
  <=> ! [X1] : ~ iext(uri_rdf_first,sK2,X1) ),
    introduced(definition,[new_symbols(definition,[spl23_25])],[avatar_definition]) ).

fof(f1011,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK2,X1)
    | ~ spl23_25 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1017,definition,
    ( spl23_27
  <=> ! [X2,X1] :
        ( ~ iext(uri_owl_oneOf,X1,sK2)
        | icext(X1,X2)
        | ~ iext(uri_rdf_first,sK3,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).

fof(f1018,plain,
    ( ! [X2,X1] :
        ( ~ iext(uri_owl_oneOf,X1,sK2)
        | icext(X1,X2)
        | ~ iext(uri_rdf_first,sK3,X2) )
    | ~ spl23_27 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1019,plain,
    ( spl23_27
    | spl23_25 ),
    inference(avatar_split_clause,[],[f986,f1010,f1017]) ).

fof(f1020,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_owl_oneOf,X0,sK2)
        | icext(X0,X1)
        | ~ iext(uri_rdf_first,sK2,X1) )
    | ~ spl23_20 ),
    inference(resolution,[],[f976,f671]) ).

fof(f1021,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK3,X2)
      | ~ iext(uri_rdf_first,sK2,X1)
      | X0 = X2
      | ~ icext(uri_ex_c2,X0)
      | X0 = X1 ),
    inference(resolution,[],[f982,f673]) ).

fof(f1038,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X0,sK4)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK4,X2)
      | X1 = X3
      | ~ iext(uri_rdf_first,sK5,X4)
      | X1 = X4
      | ~ iext(uri_rdf_first,sK6,X3)
      | X1 = X2 ),
    inference(resolution,[],[f955,f666]) ).

fof(f1041,plain,
    ( $false
    | ~ spl23_13 ),
    inference(unit_resulting_resolution,[],[f917,f658]) ).

fof(f1044,plain,
    ~ spl23_13,
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1046,definition,
    ( spl23_31
  <=> ! [X1] : ~ iext(uri_rdf_first,sK7,X1) ),
    introduced(definition,[new_symbols(definition,[spl23_31])],[avatar_definition]) ).

fof(f1047,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK7,X1)
    | ~ spl23_31 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,definition,
    ( spl23_32
  <=> ! [X2,X0,X3] :
        ( ~ iext(uri_owl_unionOf,X0,sK7)
        | icext(X0,X3)
        | ~ icext(X2,X3)
        | ~ iext(uri_rdf_first,sK8,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl23_32])],[avatar_definition]) ).

fof(f1050,plain,
    ( ! [X2,X3,X0] :
        ( ~ iext(uri_owl_unionOf,X0,sK7)
        | icext(X0,X3)
        | ~ icext(X2,X3)
        | ~ iext(uri_rdf_first,sK8,X2) )
    | ~ spl23_32 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1051,plain,
    ( spl23_31
    | spl23_32 ),
    inference(avatar_split_clause,[],[f928,f1049,f1046]) ).

fof(f1057,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_owl_unionOf,X0,sK7)
        | ~ icext(X2,X1)
        | icext(X0,X1)
        | ~ iext(uri_rdf_first,sK7,X2) )
    | ~ spl23_15 ),
    inference(resolution,[],[f924,f659]) ).

fof(f1058,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X2)
      | ~ iext(uri_rdf_first,sK7,X1)
      | icext(X2,X0)
      | ~ icext(uri_ex_c4,X0)
      | icext(X1,X0) ),
    inference(resolution,[],[f929,f661]) ).

fof(f1159,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK0,X0)
      | uri_ex_w2 = X1
      | ~ icext(uri_ex_c1,X1)
      | X0 = X1 ),
    inference(resolution,[],[f1003,f675]) ).

fof(f1160,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c1,X0)
      | uri_ex_w2 = X0
      | uri_ex_w1 = X0 ),
    inference(resolution,[],[f1159,f677]) ).

fof(f1191,definition,
    ( spl23_63
  <=> icext(uri_ex_c3,uri_ex_w2) ),
    introduced(definition,[new_symbols(definition,[spl23_63])],[avatar_definition]) ).

fof(f1192,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | spl23_63 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1195,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK0,X0)
        | icext(uri_ex_c1,X0) )
    | ~ spl23_11 ),
    inference(resolution,[],[f1002,f678]) ).

fof(f1196,plain,
    ( icext(uri_ex_c1,uri_ex_w1)
    | ~ spl23_11 ),
    inference(resolution,[],[f1195,f677]) ).

fof(f1209,plain,
    ( $false
    | ~ spl23_25 ),
    inference(unit_resulting_resolution,[],[f1011,f672]) ).

fof(f1212,plain,
    ~ spl23_25,
    inference(avatar_contradiction_clause,[],[f1209]) ).

fof(f1213,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK2,X0)
      | uri_ex_w3 = X1
      | ~ icext(uri_ex_c2,X1)
      | X0 = X1 ),
    inference(resolution,[],[f1021,f670]) ).

fof(f1214,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c2,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f1213,f672]) ).

fof(f1250,definition,
    ( spl23_71
  <=> icext(uri_ex_c3,uri_ex_w3) ),
    introduced(definition,[new_symbols(definition,[spl23_71])],[avatar_definition]) ).

fof(f1251,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w3)
    | spl23_71 ),
    inference(avatar_component_clause,[],[f1250]) ).

fof(f1253,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK3,X0)
        | icext(uri_ex_c2,X0) )
    | ~ spl23_27 ),
    inference(resolution,[],[f1018,f673]) ).

fof(f1254,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK2,X0)
        | icext(uri_ex_c2,X0) )
    | ~ spl23_20 ),
    inference(resolution,[],[f1020,f673]) ).

fof(f1255,plain,
    ( icext(uri_ex_c2,uri_ex_w2)
    | ~ spl23_20 ),
    inference(resolution,[],[f1254,f672]) ).

fof(f1265,plain,
    ( icext(uri_ex_c2,uri_ex_w3)
    | ~ spl23_27 ),
    inference(resolution,[],[f1253,f670]) ).

fof(f1267,plain,
    ( $false
    | ~ spl23_31 ),
    inference(unit_resulting_resolution,[],[f1047,f660]) ).

fof(f1270,plain,
    ~ spl23_31,
    inference(avatar_contradiction_clause,[],[f1267]) ).

fof(f1286,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | icext(uri_ex_c2,X1)
      | ~ icext(uri_ex_c4,X1)
      | icext(X0,X1) ),
    inference(resolution,[],[f1058,f658]) ).

fof(f1287,plain,
    ! [X0] :
      ( icext(uri_ex_c2,X0)
      | ~ icext(uri_ex_c4,X0)
      | icext(uri_ex_c1,X0) ),
    inference(resolution,[],[f1286,f660]) ).

fof(f1288,plain,
    ! [X0] :
      ( icext(uri_ex_c1,X0)
      | ~ icext(uri_ex_c4,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f1287,f1214]) ).

fof(f1293,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c4,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0
      | uri_ex_w2 = X0
      | uri_ex_w1 = X0 ),
    inference(resolution,[],[f1288,f1160]) ).

fof(f1297,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c4,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0
      | uri_ex_w1 = X0 ),
    inference(duplicate_literal_removal,[],[f1293]) ).

fof(f1377,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK7,X0)
        | icext(uri_ex_c4,X1)
        | ~ icext(X0,X1) )
    | ~ spl23_15 ),
    inference(resolution,[],[f1057,f661]) ).

fof(f1378,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c1,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl23_15 ),
    inference(resolution,[],[f1377,f660]) ).

fof(f1380,plain,
    ( icext(uri_ex_c4,uri_ex_w1)
    | ~ spl23_11
    | ~ spl23_15 ),
    inference(resolution,[],[f1378,f1196]) ).

fof(f1384,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK8,X1)
        | ~ icext(X1,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl23_32 ),
    inference(resolution,[],[f1050,f661]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c2,X0)
        | icext(uri_ex_c4,X0) )
    | ~ spl23_32 ),
    inference(resolution,[],[f1384,f658]) ).

fof(f1388,plain,
    ( icext(uri_ex_c4,uri_ex_w2)
    | ~ spl23_20
    | ~ spl23_32 ),
    inference(resolution,[],[f1385,f1255]) ).

fof(f1497,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X2)
      | ~ iext(uri_rdf_first,sK4,X1)
      | X0 = X2
      | ~ iext(uri_rdf_first,sK5,X3)
      | X0 = X3
      | ~ icext(uri_ex_c3,X0)
      | X0 = X1 ),
    inference(resolution,[],[f1038,f668]) ).

fof(f1498,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK5,X2)
      | uri_ex_w3 = X1
      | ~ iext(uri_rdf_first,sK4,X0)
      | X1 = X2
      | ~ icext(uri_ex_c3,X1)
      | X0 = X1 ),
    inference(resolution,[],[f1497,f663]) ).

fof(f1499,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK4,X1)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0
      | ~ icext(uri_ex_c3,X0)
      | X0 = X1 ),
    inference(resolution,[],[f1498,f665]) ).

fof(f1500,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c3,X0)
      | uri_ex_w2 = X0
      | uri_ex_w3 = X0
      | uri_ex_w1 = X0 ),
    inference(resolution,[],[f1499,f667]) ).

fof(f1501,plain,
    ( uri_ex_w2 = sK9(uri_ex_c3,uri_ex_c4)
    | uri_ex_w3 = sK9(uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK9(uri_ex_c3,uri_ex_c4)
    | ~ spl23_8 ),
    inference(resolution,[],[f1500,f855]) ).

fof(f1525,definition,
    ( spl23_108
  <=> uri_ex_w1 = sK9(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl23_108])],[avatar_definition]) ).

fof(f1526,plain,
    ( uri_ex_w1 = sK9(uri_ex_c3,uri_ex_c4)
    | ~ spl23_108 ),
    inference(avatar_component_clause,[],[f1525]) ).

fof(f1528,definition,
    ( spl23_109
  <=> uri_ex_w3 = sK9(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl23_109])],[avatar_definition]) ).

fof(f1529,plain,
    ( uri_ex_w3 = sK9(uri_ex_c3,uri_ex_c4)
    | ~ spl23_109 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1531,definition,
    ( spl23_110
  <=> uri_ex_w2 = sK9(uri_ex_c3,uri_ex_c4) ),
    introduced(definition,[new_symbols(definition,[spl23_110])],[avatar_definition]) ).

fof(f1532,plain,
    ( uri_ex_w2 = sK9(uri_ex_c3,uri_ex_c4)
    | ~ spl23_110 ),
    inference(avatar_component_clause,[],[f1531]) ).

fof(f1533,plain,
    ( spl23_108
    | spl23_109
    | spl23_110
    | ~ spl23_8 ),
    inference(avatar_split_clause,[],[f1501,f854,f1531,f1528,f1525]) ).

fof(f1534,plain,
    ( icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_8
    | ~ spl23_109 ),
    inference(superposition,[],[f855,f1529]) ).

fof(f1538,plain,
    ( icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_8
    | ~ spl23_110 ),
    inference(superposition,[],[f855,f1532]) ).

fof(f1542,plain,
    ( uri_ex_w3 = sK9(uri_ex_c3,uri_ex_c4)
    | uri_ex_w2 = sK9(uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK9(uri_ex_c3,uri_ex_c4)
    | ~ spl23_9 ),
    inference(resolution,[],[f858,f1297]) ).

fof(f1543,plain,
    ( ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_9 ),
    inference(resolution,[],[f858,f684]) ).

fof(f1544,plain,
    ( ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_9 ),
    inference(forward_subsumption_resolution,[],[f1543,f803]) ).

fof(f1545,plain,
    ( spl23_108
    | spl23_110
    | spl23_109
    | ~ spl23_9 ),
    inference(avatar_split_clause,[],[f1542,f857,f1528,f1531,f1525]) ).

fof(f1546,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_9 ),
    inference(forward_subsumption_resolution,[],[f1544,f802]) ).

fof(f1547,plain,
    ( ~ icext(uri_ex_c3,sK9(uri_ex_c3,uri_ex_c4))
    | ~ spl23_9 ),
    inference(forward_subsumption_resolution,[],[f1546,f656]) ).

fof(f1549,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w2)
    | ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_110 ),
    inference(superposition,[],[f684,f1532]) ).

fof(f1550,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_9
    | ~ spl23_110 ),
    inference(superposition,[],[f1547,f1532]) ).

fof(f1606,plain,
    ! [X2,X3,X0,X1,X4] :
      ( icext(uri_ex_c3,X0)
      | ~ iext(uri_rdf_first,sK4,X0)
      | ~ iext(uri_rdf_rest,sK4,X1)
      | ~ 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(resolution,[],[f796,f668]) ).

fof(f1610,definition,
    ( spl23_116
  <=> ! [X4,X3,X2,X1] :
        ( ~ iext(uri_rdf_rest,sK4,X1)
        | ~ 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) ) ),
    introduced(definition,[new_symbols(definition,[spl23_116])],[avatar_definition]) ).

fof(f1611,plain,
    ( ! [X2,X3,X1,X4] :
        ( ~ iext(uri_rdf_rest,sK4,X1)
        | ~ 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) )
    | ~ spl23_116 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1613,definition,
    ( spl23_117
  <=> ! [X0] :
        ( icext(uri_ex_c3,X0)
        | ~ iext(uri_rdf_first,sK4,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl23_117])],[avatar_definition]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK4,X0)
        | icext(uri_ex_c3,X0) )
    | ~ spl23_117 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f1615,plain,
    ( spl23_116
    | spl23_117 ),
    inference(avatar_split_clause,[],[f1606,f1613,f1610]) ).

fof(f1616,plain,
    ( $false
    | ~ spl23_116 ),
    inference(unit_resulting_resolution,[],[f1611,f665,f663,f664,f662,f666]) ).

fof(f1618,plain,
    ~ spl23_116,
    inference(avatar_contradiction_clause,[],[f1616]) ).

fof(f1623,plain,
    ( icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_117 ),
    inference(resolution,[],[f1614,f667]) ).

fof(f1625,plain,
    ( $false
    | spl23_63 ),
    inference(unit_resulting_resolution,[],[f797,f1192,f668,f663,f665,f667,f666,f664,f662]) ).

fof(f1629,plain,
    spl23_63,
    inference(avatar_contradiction_clause,[],[f1625]) ).

fof(f1646,plain,
    ( ~ spl23_63
    | ~ spl23_9
    | ~ spl23_110 ),
    inference(avatar_split_clause,[],[f1550,f1531,f857,f1191]) ).

fof(f1658,plain,
    ( ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(forward_subsumption_resolution,[],[f1549,f1388]) ).

fof(f1659,plain,
    ( ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(forward_subsumption_resolution,[],[f1658,f803]) ).

fof(f1660,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(forward_subsumption_resolution,[],[f1659,f802]) ).

fof(f1661,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(forward_subsumption_resolution,[],[f1660,f656]) ).

fof(f1662,plain,
    ( $false
    | ~ spl23_8
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(forward_subsumption_resolution,[],[f1661,f1538]) ).

fof(f1663,plain,
    ( ~ spl23_8
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(avatar_contradiction_clause,[],[f1662]) ).

fof(f1665,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w1)
    | ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_108 ),
    inference(superposition,[],[f684,f1526]) ).

fof(f1666,plain,
    ( ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108 ),
    inference(forward_subsumption_resolution,[],[f1665,f1380]) ).

fof(f1667,plain,
    ( ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108 ),
    inference(forward_subsumption_resolution,[],[f1666,f803]) ).

fof(f1668,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108 ),
    inference(forward_subsumption_resolution,[],[f1667,f802]) ).

fof(f1669,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108 ),
    inference(forward_subsumption_resolution,[],[f1668,f656]) ).

fof(f1670,plain,
    ( $false
    | ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108
    | ~ spl23_117 ),
    inference(forward_subsumption_resolution,[],[f1669,f1623]) ).

fof(f1671,plain,
    ( ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108
    | ~ spl23_117 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1672,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ ic(uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_109 ),
    inference(superposition,[],[f684,f1529]) ).

fof(f1673,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_9
    | ~ spl23_109 ),
    inference(superposition,[],[f1547,f1529]) ).

fof(f1709,plain,
    ( $false
    | spl23_71 ),
    inference(unit_resulting_resolution,[],[f798,f1251,f668,f663,f665,f667,f666,f664,f662]) ).

fof(f1713,plain,
    spl23_71,
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1728,plain,
    ( ~ spl23_71
    | ~ spl23_9
    | ~ spl23_109 ),
    inference(avatar_split_clause,[],[f1673,f1528,f857,f1250]) ).

fof(f1756,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_109 ),
    inference(forward_subsumption_resolution,[],[f1672,f803]) ).

fof(f1759,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_109 ),
    inference(forward_subsumption_resolution,[],[f1756,f802]) ).

fof(f1760,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | ~ spl23_109 ),
    inference(forward_subsumption_resolution,[],[f1759,f656]) ).

fof(f1761,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ spl23_8
    | ~ spl23_109 ),
    inference(forward_subsumption_resolution,[],[f1760,f1534]) ).

fof(f1785,plain,
    ( icext(uri_ex_c4,uri_ex_w3)
    | ~ spl23_27
    | ~ spl23_32 ),
    inference(resolution,[],[f1265,f1385]) ).

fof(f1792,plain,
    ( $false
    | ~ spl23_8
    | ~ spl23_27
    | ~ spl23_32
    | ~ spl23_109 ),
    inference(forward_subsumption_resolution,[],[f1785,f1761]) ).

fof(f1793,plain,
    ( ~ spl23_8
    | ~ spl23_27
    | ~ spl23_32
    | ~ spl23_109 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

cnf(s4,plain,
    ( spl23_8
    | spl23_9 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s6,plain,
    ( spl23_10
    | spl23_11 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s9,plain,
    ( spl23_13
    | spl23_15 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s12,plain,
    ( spl23_19
    | spl23_20 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s15,plain,
    ~ spl23_10,
    inference(sat_conversion,[],[f990]) ).

cnf(s19,plain,
    ~ spl23_19,
    inference(sat_conversion,[],[f1008]) ).

cnf(s21,plain,
    ( spl23_25
    | spl23_27 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s27,plain,
    ~ spl23_13,
    inference(sat_conversion,[],[f1044]) ).

cnf(s28,plain,
    ( spl23_31
    | spl23_32 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s48,plain,
    ~ spl23_25,
    inference(sat_conversion,[],[f1212]) ).

cnf(s56,plain,
    ~ spl23_31,
    inference(sat_conversion,[],[f1270]) ).

cnf(s86,plain,
    ( ~ spl23_8
    | spl23_108
    | spl23_109
    | spl23_110 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s89,plain,
    ( ~ spl23_9
    | spl23_108
    | spl23_109
    | spl23_110 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s98,plain,
    ( spl23_116
    | spl23_117 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s99,plain,
    ~ spl23_116,
    inference(sat_conversion,[],[f1618]) ).

cnf(s101,plain,
    spl23_63,
    inference(sat_conversion,[],[f1629]) ).

cnf(s105,plain,
    ( ~ spl23_9
    | ~ spl23_63
    | ~ spl23_110 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s109,plain,
    ( ~ spl23_8
    | ~ spl23_20
    | ~ spl23_32
    | ~ spl23_110 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s110,plain,
    ( ~ spl23_11
    | ~ spl23_15
    | ~ spl23_108
    | ~ spl23_117 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s116,plain,
    spl23_71,
    inference(sat_conversion,[],[f1713]) ).

cnf(s120,plain,
    ( ~ spl23_9
    | ~ spl23_71
    | ~ spl23_109 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s136,plain,
    ( ~ spl23_8
    | ~ spl23_27
    | ~ spl23_32
    | ~ spl23_109 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s142,plain,
    spl23_117,
    inference(rat,[],[s98,s99]) ).

cnf(s155,plain,
    spl23_32,
    inference(rat,[],[s28,s56]) ).

cnf(s159,plain,
    spl23_27,
    inference(rat,[],[s21,s48]) ).

cnf(s165,plain,
    spl23_20,
    inference(rat,[],[s12,s19]) ).

cnf(s168,plain,
    spl23_15,
    inference(rat,[],[s9,s27]) ).

cnf(s171,plain,
    spl23_11,
    inference(rat,[],[s6,s15]) ).

cnf(s172,plain,
    ~ spl23_108,
    inference(rat,[],[s110,s142,s168,s171]) ).

cnf(s173,plain,
    ~ spl23_9,
    inference(rat,[],[s89,s105,s120,s172,s101,s116]) ).

cnf(s174,plain,
    spl23_8,
    inference(rat,[],[s4,s173]) ).

cnf(s175,plain,
    ~ spl23_109,
    inference(rat,[],[s136,s159,s155,s174]) ).

cnf(s176,plain,
    ~ spl23_110,
    inference(rat,[],[s109,s165,s155,s174]) ).

cnf(s177,plain,
    $false,
    inference(rat,[],[s86,s176,s172,s175,s174]) ).

fof(f1794,plain,
    $false,
    inference(avatar_sat_refutation,[],[s177]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB021+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 07:07:46 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.90/1.67  % (2444170)Detected formulas, will run a generic FOF schedule.
% 4.90/1.67  % (2444176)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1303653499:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.90/1.67  % (2444177)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2159651284:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.90/1.67  % (2444178)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2168754461:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.90/1.67  % (2444175)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1819053203:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.90/1.67  % (2444180)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=65410912:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.90/1.67  % (2444178)Refutation not found, incomplete strategy
% 4.90/1.67  % (2444178)------------------------------
% 4.90/1.67  % (2444178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444178)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444178)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.67  % (2444178)Time elapsed: 0.002 s
% 4.90/1.67  % (2444178)Peak memory usage: 88 MB
% 4.90/1.67  % (2444178)Instructions burned: 2 (million)
% 4.90/1.67  % (2444179)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1020742503:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.90/1.67  % (2444181)dis-21_1_sil=8000:lcm=predicate:random_seed=2217976252:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.90/1.67  % (2444179)Refutation not found, incomplete strategy
% 4.90/1.67  % (2444179)------------------------------
% 4.90/1.67  % (2444179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444179)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444179)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.67  % (2444179)Time elapsed: 0.002 s
% 4.90/1.67  % (2444179)Peak memory usage: 88 MB
% 4.90/1.67  % (2444179)Instructions burned: 2 (million)
% 4.90/1.67  % (2444181)Instruction limit reached! 
% 4.90/1.67  % (2444181)------------------------------
% 4.90/1.67  % (2444181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444181)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444181)Termination reason: Instruction limit
% 4.90/1.67  % (2444181)Termination phase: Saturation
% 4.90/1.67  % (2444181)Time elapsed: 0.067 s
% 4.90/1.67  % (2444181)Peak memory usage: 91 MB
% 4.90/1.67  % (2444181)Instructions burned: 129 (million)
% 4.90/1.67  % (2444180)Instruction limit reached! 
% 4.90/1.67  % (2444180)------------------------------
% 4.90/1.67  % (2444180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444180)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444180)Termination reason: Instruction limit
% 4.90/1.67  % (2444180)Termination phase: Saturation
% 4.90/1.67  % (2444180)Time elapsed: 0.079 s
% 4.90/1.67  % (2444180)Peak memory usage: 90 MB
% 4.90/1.67  % (2444180)Instructions burned: 140 (million)
% 4.90/1.67  % (2444189)lrs+10_1_sil=8000:sp=occurrence:random_seed=65490798:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.90/1.67  % (2444190)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3065218439:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.90/1.67  % (2444190)Refutation not found, incomplete strategy
% 4.90/1.67  % (2444190)------------------------------
% 4.90/1.67  % (2444190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444190)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444190)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.67  % (2444190)Time elapsed: 0.004 s
% 4.90/1.67  % (2444190)Peak memory usage: 88 MB
% 4.90/1.67  % (2444190)Instructions burned: 6 (million)
% 4.90/1.67  % (2444178)------------------------------
% 4.90/1.67  % (2444178)------------------------------
% 4.90/1.67  % (2444179)------------------------------
% 4.90/1.67  % (2444179)------------------------------
% 4.90/1.67  % (2444189)Instruction limit reached! 
% 4.90/1.67  % (2444189)------------------------------
% 4.90/1.67  % (2444189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444189)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444189)Termination reason: Instruction limit
% 4.90/1.67  % (2444189)Termination phase: Saturation
% 4.90/1.67  % (2444189)Time elapsed: 0.162 s
% 4.90/1.67  % (2444189)Peak memory usage: 91 MB
% 4.90/1.67  % (2444189)Instructions burned: 287 (million)
% 4.90/1.67  % (2444193)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1431812874:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.90/1.67  % (2444193)Refutation not found, incomplete strategy
% 4.90/1.67  % (2444193)------------------------------
% 4.90/1.67  % (2444193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444193)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444193)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.67  % (2444193)Time elapsed: 0.003 s
% 4.90/1.67  % (2444193)Peak memory usage: 89 MB
% 4.90/1.67  % (2444193)Instructions burned: 3 (million)
% 4.90/1.67  % (2444194)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2241367083:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.90/1.67  % (2444190)------------------------------
% 4.90/1.67  % (2444190)------------------------------
% 4.90/1.67  % (2444176)First to succeed.
% 4.90/1.67  % (2444176)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2444170"
% 4.90/1.67  % (2444196)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1379665416:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.90/1.67  % (2444196)Refutation not found, incomplete strategy
% 4.90/1.67  % (2444196)------------------------------
% 4.90/1.67  % (2444196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444196)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444196)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.67  % (2444196)Time elapsed: 0.006 s
% 4.90/1.67  % (2444196)Peak memory usage: 89 MB
% 4.90/1.67  % (2444196)Instructions burned: 8 (million)
% 4.90/1.67  % (2444194)Instruction limit reached! 
% 4.90/1.67  % (2444194)------------------------------
% 4.90/1.67  % (2444194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67  % (2444194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67  % (2444194)CaDiCaL version: 2.1.3
% 4.90/1.67  % (2444194)Termination reason: Instruction limit
% 4.90/1.67  % (2444194)Termination phase: Saturation
% 4.90/1.67  % (2444194)Time elapsed: 0.119 s
% 4.90/1.67  % (2444194)Peak memory usage: 90 MB
% 4.90/1.67  % (2444194)Instructions burned: 248 (million)
% 4.90/1.67  % (2444198)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=887497859:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.90/1.67  % (2444193)------------------------------
% 4.90/1.67  % (2444193)------------------------------
% 4.90/1.67  % (2444176)Refutation found. Thanks to Tanya!
% 4.90/1.67  % SZS status Theorem for theBenchmark
% 4.90/1.67  % SZS output start Proof for theBenchmark
% See solution above
% 6.31/1.87  % (2444176)------------------------------
% 6.31/1.87  % (2444176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.87  % (2444176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.87  % (2444176)CaDiCaL version: 2.1.3
% 6.31/1.87  % (2444176)Termination reason: Refutation
% 6.31/1.87  % (2444176)Time elapsed: 0.537 s
% 6.31/1.87  % (2444176)Peak memory usage: 132 MB
% 6.31/1.87  % (2444176)Instructions burned: 1167 (million)
% 6.31/1.87  % (2444176)------------------------------
% 6.31/1.87  % (2444176)------------------------------
% 6.31/1.87  % (2444170)Success in time 0.823 s
% 6.31/1.87  % Vampire exiting
%------------------------------------------------------------------------------