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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB041+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 01:00:17 PM UTC 2026

% Result   : Theorem 11.18s 2.70s
% Output   : Refutation 13.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  180 (  31 unt;  18 def)
%            Number of atoms       :  812 (   0 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives : 1114 ( 482   ~; 518   |;  86   &)
%                                         (  26 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  21 usr;  19 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :  256 (   0 sgn 243   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f202,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
     => ( ic(X0)
        & ic(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_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/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

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/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f559,conjecture,
    ? [X0,X1] :
      ( iext(uri_rdf_first,X0,uri_ex_x)
      & iext(uri_rdf_rest,X0,X1)
      & iext(uri_rdf_first,X1,uri_ex_y)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_owl_unionOf,uri_ex_c,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_bool_union_ext) ).

fof(f560,negated_conjecture,
    ~ ? [X0,X1] :
        ( iext(uri_rdf_first,X0,uri_ex_x)
        & iext(uri_rdf_rest,X0,X1)
        & iext(uri_rdf_first,X1,uri_ex_y)
        & iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_owl_unionOf,uri_ex_c,X0) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2] :
      ( iext(uri_owl_unionOf,X2,X1)
      & iext(uri_rdf_first,X1,uri_ex_x)
      & iext(uri_rdf_rest,X1,X0)
      & iext(uri_rdf_first,X0,uri_ex_y)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_owl_equivalentClass,uri_ex_c,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_bool_union_ext) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,X0,uri_ex_x)
      | ~ iext(uri_rdf_rest,X0,X1)
      | ~ iext(uri_rdf_first,X1,uri_ex_y)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_owl_unionOf,uri_ex_c,X0) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f571,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(f572,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,[],[f571]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1) )
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(ennf_transformation,[],[f202]) ).

fof(f593,plain,
    ( iext(uri_owl_unionOf,sK2,sK1)
    & iext(uri_rdf_first,sK1,uri_ex_x)
    & iext(uri_rdf_rest,sK1,sK0)
    & iext(uri_rdf_first,sK0,uri_ex_y)
    & iext(uri_rdf_rest,sK0,uri_rdf_nil)
    & iext(uri_owl_equivalentClass,uri_ex_c,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f561]) ).

fof(f598,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,[],[f572]) ).

fof(f599,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,[],[f598]) ).

fof(f600,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,[],[f599]) ).

fof(f601,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ( ( ( ~ icext(X2,sK4(X0,X2,X4))
                & ~ icext(X4,sK4(X0,X2,X4)) )
              | ~ icext(X0,sK4(X0,X2,X4)) )
            & ( icext(X2,sK4(X0,X2,X4))
              | icext(X4,sK4(X0,X2,X4))
              | icext(X0,sK4(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,[sK4]),skolemize(X5,sK4(X0,X2,X4))],[f600]) ).

fof(f610,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(f611,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,[],[f610]) ).

fof(f612,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,[],[f611]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ( ~ icext(X1,sK7(X0,X1))
            | ~ icext(X0,sK7(X0,X1)) )
          & ( icext(X1,sK7(X0,X1))
            | icext(X0,sK7(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f612]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_unionOf,uri_ex_c,X0)
      | ~ iext(uri_rdf_rest,X0,X1)
      | ~ iext(uri_rdf_first,X1,uri_ex_y)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,uri_ex_x) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f628,plain,
    iext(uri_owl_equivalentClass,uri_ex_c,sK2),
    inference(cnf_transformation,[],[f593]) ).

fof(f629,plain,
    iext(uri_rdf_rest,sK0,uri_rdf_nil),
    inference(cnf_transformation,[],[f593]) ).

fof(f630,plain,
    iext(uri_rdf_first,sK0,uri_ex_y),
    inference(cnf_transformation,[],[f593]) ).

fof(f631,plain,
    iext(uri_rdf_rest,sK1,sK0),
    inference(cnf_transformation,[],[f593]) ).

fof(f632,plain,
    iext(uri_rdf_first,sK1,uri_ex_x),
    inference(cnf_transformation,[],[f593]) ).

fof(f633,plain,
    iext(uri_owl_unionOf,sK2,sK1),
    inference(cnf_transformation,[],[f593]) ).

fof(f649,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ icext(X0,X6)
      | icext(X4,X6)
      | 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)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f650,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,[],[f601]) ).

fof(f651,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,[],[f601]) ).

fof(f652,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ic(X4) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f653,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ic(X2) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f655,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ic(X2)
      | ~ ic(X0)
      | iext(uri_owl_unionOf,X0,X1)
      | ~ ic(X4)
      | icext(X2,sK4(X0,X2,X4))
      | icext(X4,sK4(X0,X2,X4))
      | icext(X0,sK4(X0,X2,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(cnf_transformation,[],[f601]) ).

fof(f656,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ic(X2)
      | ~ ic(X0)
      | iext(uri_owl_unionOf,X0,X1)
      | ~ ic(X4)
      | ~ icext(X4,sK4(X0,X2,X4))
      | ~ icext(X0,sK4(X0,X2,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(cnf_transformation,[],[f601]) ).

fof(f657,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ic(X2)
      | ~ ic(X0)
      | iext(uri_owl_unionOf,X0,X1)
      | ~ ic(X4)
      | ~ icext(X2,sK4(X0,X2,X4))
      | ~ icext(X0,sK4(X0,X2,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(cnf_transformation,[],[f601]) ).

fof(f670,plain,
    ! [X3,X0,X1] :
      ( ~ icext(X0,X3)
      | icext(X1,X3)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f671,plain,
    ! [X3,X0,X1] :
      ( ~ icext(X1,X3)
      | icext(X0,X3)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f678,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f722,plain,
    ic(uri_ex_c),
    inference(resolution,[],[f678,f628]) ).

fof(f781,definition,
    ( spl13_2
  <=> ic(uri_ex_y) ),
    introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ ic(uri_ex_y)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f785,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,sK0)
      | ~ iext(uri_owl_unionOf,X2,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK0,X0)
      | icext(X2,X1) ),
    inference(resolution,[],[f650,f629]) ).

fof(f786,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,sK1)
      | ~ iext(uri_rdf_first,sK1,X1)
      | ~ icext(X2,X3)
      | ~ iext(uri_rdf_first,sK0,X2)
      | icext(X0,X3) ),
    inference(resolution,[],[f785,f631]) ).

fof(f788,definition,
    ( spl13_3
  <=> ! [X1] : ~ iext(uri_rdf_first,sK1,X1) ),
    introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).

fof(f789,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK1,X1)
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,definition,
    ( spl13_4
  <=> ! [X2,X0,X3] :
        ( ~ iext(uri_owl_unionOf,X0,sK1)
        | icext(X0,X3)
        | ~ icext(X2,X3)
        | ~ iext(uri_rdf_first,sK0,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).

fof(f792,plain,
    ( ! [X2,X3,X0] :
        ( ~ iext(uri_owl_unionOf,X0,sK1)
        | icext(X0,X3)
        | ~ icext(X2,X3)
        | ~ iext(uri_rdf_first,sK0,X2) )
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f793,plain,
    ( spl13_3
    | spl13_4 ),
    inference(avatar_split_clause,[],[f786,f791,f788]) ).

fof(f794,plain,
    ( $false
    | ~ spl13_3 ),
    inference(unit_resulting_resolution,[],[f789,f632]) ).

fof(f797,plain,
    ~ spl13_3,
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f798,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK0,X1)
        | ~ icext(X1,X0)
        | icext(sK2,X0) )
    | ~ spl13_4 ),
    inference(resolution,[],[f792,f633]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_y,X0)
        | icext(sK2,X0) )
    | ~ spl13_4 ),
    inference(resolution,[],[f798,f630]) ).

fof(f800,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,sK0)
      | ~ iext(uri_rdf_first,sK0,X4)
      | icext(X2,X1) ),
    inference(resolution,[],[f651,f629]) ).

fof(f802,definition,
    ( spl13_5
  <=> ! [X4] : ~ iext(uri_rdf_first,sK0,X4) ),
    introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).

fof(f803,plain,
    ( ! [X4] : ~ iext(uri_rdf_first,sK0,X4)
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,definition,
    ( spl13_6
  <=> ! [X0,X3,X2,X1] :
        ( ~ icext(X0,X1)
        | icext(X2,X1)
        | ~ iext(uri_rdf_rest,X3,sK0)
        | ~ iext(uri_owl_unionOf,X2,X3)
        | ~ iext(uri_rdf_first,X3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).

fof(f806,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,X3,sK0)
        | icext(X2,X1)
        | ~ icext(X0,X1)
        | ~ iext(uri_owl_unionOf,X2,X3)
        | ~ iext(uri_rdf_first,X3,X0) )
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f807,plain,
    ( spl13_5
    | spl13_6 ),
    inference(avatar_split_clause,[],[f800,f805,f802]) ).

fof(f808,plain,
    ( $false
    | ~ spl13_5 ),
    inference(unit_resulting_resolution,[],[f803,f630]) ).

fof(f811,plain,
    ~ spl13_5,
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f812,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_owl_unionOf,X0,sK1)
        | ~ icext(X2,X1)
        | icext(X0,X1)
        | ~ iext(uri_rdf_first,sK1,X2) )
    | ~ spl13_6 ),
    inference(resolution,[],[f806,f631]) ).

fof(f813,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK1,X0)
        | icext(sK2,X1)
        | ~ icext(X0,X1) )
    | ~ spl13_6 ),
    inference(resolution,[],[f812,f633]) ).

fof(f814,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_x,X0)
        | icext(sK2,X0) )
    | ~ spl13_6 ),
    inference(resolution,[],[f813,f632]) ).

fof(f826,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,sK0)
      | ~ iext(uri_rdf_first,sK0,X3)
      | ic(X2) ),
    inference(resolution,[],[f653,f629]) ).

fof(f828,definition,
    ( spl13_7
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_owl_unionOf,X0,X1)
        | ic(X2)
        | ~ iext(uri_rdf_rest,X1,sK0)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).

fof(f829,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK0)
        | ic(X2)
        | ~ iext(uri_owl_unionOf,X0,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f830,plain,
    ( spl13_5
    | spl13_7 ),
    inference(avatar_split_clause,[],[f826,f828,f802]) ).

fof(f831,plain,
    ( ! [X0,X1] :
        ( ic(X0)
        | ~ iext(uri_owl_unionOf,X1,sK1)
        | ~ iext(uri_rdf_first,sK1,X0) )
    | ~ spl13_7 ),
    inference(resolution,[],[f829,f631]) ).

fof(f833,definition,
    ( spl13_8
  <=> ! [X1] : ~ iext(uri_owl_unionOf,X1,sK1) ),
    introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).

fof(f834,plain,
    ( ! [X1] : ~ iext(uri_owl_unionOf,X1,sK1)
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,definition,
    ( spl13_9
  <=> ! [X0] :
        ( ic(X0)
        | ~ iext(uri_rdf_first,sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).

fof(f837,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK1,X0)
        | ic(X0) )
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( spl13_8
    | spl13_9
    | ~ spl13_7 ),
    inference(avatar_split_clause,[],[f831,f828,f836,f833]) ).

fof(f839,plain,
    ( $false
    | ~ spl13_8 ),
    inference(unit_resulting_resolution,[],[f834,f633]) ).

fof(f842,plain,
    ~ spl13_8,
    inference(avatar_contradiction_clause,[],[f839]) ).

fof(f843,plain,
    ( ic(uri_ex_x)
    | ~ spl13_9 ),
    inference(resolution,[],[f837,f632]) ).

fof(f844,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
        | iext(uri_owl_unionOf,X0,X1)
        | ~ ic(X2)
        | icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
        | icext(X2,sK4(X0,uri_ex_x,X2))
        | icext(X0,sK4(X0,uri_ex_x,X2))
        | ~ iext(uri_rdf_first,X1,uri_ex_x)
        | ~ iext(uri_rdf_rest,X1,X3)
        | ~ iext(uri_rdf_first,X3,X2)
        | ~ ic(X0) )
    | ~ spl13_9 ),
    inference(resolution,[],[f843,f655]) ).

fof(f845,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ icext(X2,sK4(X0,uri_ex_x,X2))
        | iext(uri_owl_unionOf,X0,X1)
        | ~ ic(X2)
        | ~ ic(X0)
        | ~ icext(X0,sK4(X0,uri_ex_x,X2))
        | ~ iext(uri_rdf_first,X1,uri_ex_x)
        | ~ iext(uri_rdf_rest,X1,X3)
        | ~ iext(uri_rdf_first,X3,X2)
        | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
    | ~ spl13_9 ),
    inference(resolution,[],[f843,f656]) ).

fof(f846,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
        | iext(uri_owl_unionOf,X0,X1)
        | ~ ic(X2)
        | ~ ic(X0)
        | ~ icext(X0,sK4(X0,uri_ex_x,X2))
        | ~ iext(uri_rdf_first,X1,uri_ex_x)
        | ~ iext(uri_rdf_rest,X1,X3)
        | ~ iext(uri_rdf_first,X3,X2)
        | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
    | ~ spl13_9 ),
    inference(resolution,[],[f843,f657]) ).

fof(f850,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK0)
        | ~ ic(X2)
        | icext(uri_ex_x,sK4(X0,uri_ex_x,X2))
        | icext(X2,sK4(X0,uri_ex_x,X2))
        | icext(X0,sK4(X0,uri_ex_x,X2))
        | ~ iext(uri_rdf_first,X1,uri_ex_x)
        | iext(uri_owl_unionOf,X0,X1)
        | ~ iext(uri_rdf_first,sK0,X2)
        | ~ ic(X0) )
    | ~ spl13_9 ),
    inference(resolution,[],[f844,f629]) ).

fof(f851,plain,
    ( ! [X0,X1] :
        ( ~ ic(X0)
        | icext(uri_ex_x,sK4(X1,uri_ex_x,X0))
        | icext(X0,sK4(X1,uri_ex_x,X0))
        | icext(X1,sK4(X1,uri_ex_x,X0))
        | ~ iext(uri_rdf_first,sK1,uri_ex_x)
        | iext(uri_owl_unionOf,X1,sK1)
        | ~ iext(uri_rdf_first,sK0,X0)
        | ~ ic(X1) )
    | ~ spl13_9 ),
    inference(resolution,[],[f850,f631]) ).

fof(f852,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK0,X0)
        | icext(uri_ex_x,sK4(X1,uri_ex_x,X0))
        | icext(X0,sK4(X1,uri_ex_x,X0))
        | icext(X1,sK4(X1,uri_ex_x,X0))
        | iext(uri_owl_unionOf,X1,sK1)
        | ~ ic(X0)
        | ~ ic(X1) )
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f851,f632]) ).

fof(f853,plain,
    ( ! [X0] :
        ( icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
        | icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y))
        | icext(X0,sK4(X0,uri_ex_x,uri_ex_y))
        | iext(uri_owl_unionOf,X0,sK1)
        | ~ ic(uri_ex_y)
        | ~ ic(X0) )
    | ~ spl13_9 ),
    inference(resolution,[],[f852,f630]) ).

fof(f856,plain,
    ( $false
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f652,f782,f630,f633,f632,f631,f629]) ).

fof(f857,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,sK0)
      | ~ iext(uri_rdf_first,sK0,X3)
      | ic(X3) ),
    inference(resolution,[],[f652,f629]) ).

fof(f858,plain,
    spl13_2,
    inference(avatar_contradiction_clause,[],[f856]) ).

fof(f860,definition,
    ( spl13_10
  <=> ! [X3] :
        ( ~ iext(uri_rdf_first,sK0,X3)
        | ic(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).

fof(f861,plain,
    ( ! [X3] :
        ( ~ iext(uri_rdf_first,sK0,X3)
        | ic(X3) )
    | ~ spl13_10 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,definition,
    ( spl13_11
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_owl_unionOf,X0,X1)
        | ~ iext(uri_rdf_rest,X1,sK0)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).

fof(f864,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,sK0)
        | ~ iext(uri_owl_unionOf,X0,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl13_11 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f865,plain,
    ( spl13_10
    | spl13_11 ),
    inference(avatar_split_clause,[],[f857,f863,f860]) ).

fof(f867,definition,
    ( spl13_12
  <=> ! [X0] :
        ( icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
        | ~ ic(X0)
        | iext(uri_owl_unionOf,X0,sK1)
        | icext(X0,sK4(X0,uri_ex_x,uri_ex_y))
        | icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y)) ) ),
    introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).

fof(f868,plain,
    ( ! [X0] :
        ( ~ ic(X0)
        | icext(uri_ex_x,sK4(X0,uri_ex_x,uri_ex_y))
        | iext(uri_owl_unionOf,X0,sK1)
        | icext(X0,sK4(X0,uri_ex_x,uri_ex_y))
        | icext(uri_ex_y,sK4(X0,uri_ex_x,uri_ex_y)) )
    | ~ spl13_12 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( ~ spl13_2
    | spl13_12
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f853,f836,f867,f781]) ).

fof(f870,plain,
    ( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | iext(uri_owl_unionOf,uri_ex_c,sK1)
    | icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_12 ),
    inference(resolution,[],[f868,f722]) ).

fof(f885,definition,
    ( spl13_16
  <=> icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
    introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).

fof(f886,plain,
    ( icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_16 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f888,definition,
    ( spl13_17
  <=> icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
    introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).

fof(f889,plain,
    ( icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_17 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,definition,
    ( spl13_18
  <=> iext(uri_owl_unionOf,uri_ex_c,sK1) ),
    introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).

fof(f892,plain,
    ( iext(uri_owl_unionOf,uri_ex_c,sK1)
    | ~ spl13_18 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,definition,
    ( spl13_19
  <=> icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) ),
    introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).

fof(f895,plain,
    ( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_19 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f896,plain,
    ( spl13_16
    | spl13_17
    | spl13_18
    | spl13_19
    | ~ spl13_12 ),
    inference(avatar_split_clause,[],[f870,f867,f894,f891,f888,f885]) ).

fof(f897,plain,
    ( icext(sK2,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_4
    | ~ spl13_16 ),
    inference(resolution,[],[f886,f799]) ).

fof(f898,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ ic(uri_ex_y)
        | ~ ic(uri_ex_c)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_16 ),
    inference(resolution,[],[f886,f845]) ).

fof(f904,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ ic(uri_ex_y)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_16 ),
    inference(forward_subsumption_resolution,[],[f898,f722]) ).

fof(f905,plain,
    ( ! [X0,X1] :
        ( ~ ic(uri_ex_y)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_16 ),
    inference(forward_subsumption_resolution,[],[f904,f627]) ).

fof(f907,definition,
    ( spl13_20
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).

fof(f908,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X0,X1) )
    | ~ spl13_20 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f909,plain,
    ( ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | spl13_17 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f910,plain,
    ( spl13_20
    | ~ spl13_17
    | ~ spl13_2
    | ~ spl13_9
    | ~ spl13_16 ),
    inference(avatar_split_clause,[],[f905,f885,f836,f781,f888,f907]) ).

fof(f934,plain,
    ( $false
    | ~ spl13_4
    | ~ spl13_16
    | spl13_17 ),
    inference(unit_resulting_resolution,[],[f671,f628,f897,f909]) ).

fof(f935,plain,
    ( ~ spl13_4
    | ~ spl13_16
    | spl13_17 ),
    inference(avatar_contradiction_clause,[],[f934]) ).

fof(f939,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_equivalentClass,uri_ex_c,X0)
        | icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
    | ~ spl13_17 ),
    inference(resolution,[],[f889,f670]) ).

fof(f994,plain,
    ( $false
    | ~ spl13_11 ),
    inference(unit_resulting_resolution,[],[f864,f632,f633,f631]) ).

fof(f996,plain,
    ~ spl13_11,
    inference(avatar_contradiction_clause,[],[f994]) ).

fof(f998,plain,
    ( ic(uri_ex_y)
    | ~ spl13_10 ),
    inference(resolution,[],[f861,f630]) ).

fof(f1127,plain,
    ( icext(sK2,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_17 ),
    inference(resolution,[],[f939,f628]) ).

fof(f1130,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_owl_unionOf,sK2,X2)
        | icext(X1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X2,X1)
        | ~ iext(uri_rdf_rest,X2,X3)
        | ~ iext(uri_rdf_first,X3,X0)
        | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
    | ~ spl13_17 ),
    inference(resolution,[],[f1127,f649]) ).

fof(f1243,plain,
    ( ! [X2,X0,X1] :
        ( icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | icext(X1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,sK1,X0)
        | ~ iext(uri_rdf_rest,sK1,X2)
        | ~ iext(uri_rdf_first,X2,X1)
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil) )
    | ~ spl13_17 ),
    inference(resolution,[],[f1130,f633]) ).

fof(f1245,definition,
    ( spl13_54
  <=> ! [X2,X1] :
        ( icext(X1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK1,X2)
        | ~ iext(uri_rdf_first,X2,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl13_54])],[avatar_definition]) ).

fof(f1246,plain,
    ( ! [X2,X1] :
        ( ~ iext(uri_rdf_rest,sK1,X2)
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
        | icext(X1,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X2,X1) )
    | ~ spl13_54 ),
    inference(avatar_component_clause,[],[f1245]) ).

fof(f1248,definition,
    ( spl13_55
  <=> ! [X0] :
        ( icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl13_55])],[avatar_definition]) ).

fof(f1249,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK1,X0)
        | icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
    | ~ spl13_55 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f1250,plain,
    ( spl13_54
    | spl13_55
    | ~ spl13_17 ),
    inference(avatar_split_clause,[],[f1243,f888,f1248,f1245]) ).

fof(f1251,plain,
    ( icext(uri_ex_x,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_55 ),
    inference(resolution,[],[f1249,f632]) ).

fof(f1252,plain,
    ( spl13_19
    | ~ spl13_55 ),
    inference(avatar_split_clause,[],[f1251,f1248,f894]) ).

fof(f1253,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK0,uri_rdf_nil)
        | icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,sK0,X0) )
    | ~ spl13_54 ),
    inference(resolution,[],[f1246,f631]) ).

fof(f1254,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK0,X0)
        | icext(X0,sK4(uri_ex_c,uri_ex_x,uri_ex_y)) )
    | ~ spl13_54 ),
    inference(forward_subsumption_resolution,[],[f1253,f629]) ).

fof(f1255,plain,
    ( icext(uri_ex_y,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_54 ),
    inference(resolution,[],[f1254,f630]) ).

fof(f1256,plain,
    ( spl13_16
    | ~ spl13_54 ),
    inference(avatar_split_clause,[],[f1255,f1245,f885]) ).

fof(f1257,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ ic(uri_ex_y)
        | ~ ic(uri_ex_c)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_19 ),
    inference(resolution,[],[f895,f846]) ).

fof(f1258,plain,
    ( icext(sK2,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
    | ~ spl13_6
    | ~ spl13_19 ),
    inference(resolution,[],[f895,f814]) ).

fof(f1264,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ ic(uri_ex_c)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_10
    | ~ spl13_19 ),
    inference(forward_subsumption_resolution,[],[f1257,f998]) ).

fof(f1265,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ icext(uri_ex_c,sK4(uri_ex_c,uri_ex_x,uri_ex_y))
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_10
    | ~ spl13_19 ),
    inference(forward_subsumption_resolution,[],[f1264,f722]) ).

fof(f1266,plain,
    ( ! [X0,X1] :
        ( iext(uri_owl_unionOf,uri_ex_c,X0)
        | ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_10
    | ~ spl13_17
    | ~ spl13_19 ),
    inference(forward_subsumption_resolution,[],[f1265,f889]) ).

fof(f1267,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,X0,uri_ex_x)
        | ~ iext(uri_rdf_rest,X0,X1)
        | ~ iext(uri_rdf_first,X1,uri_ex_y)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl13_9
    | ~ spl13_10
    | ~ spl13_17
    | ~ spl13_19 ),
    inference(forward_subsumption_resolution,[],[f1266,f627]) ).

fof(f1268,plain,
    ( spl13_20
    | ~ spl13_9
    | ~ spl13_10
    | ~ spl13_17
    | ~ spl13_19 ),
    inference(avatar_split_clause,[],[f1267,f894,f888,f860,f836,f907]) ).

fof(f1270,plain,
    ( $false
    | ~ spl13_20 ),
    inference(unit_resulting_resolution,[],[f908,f631,f632,f630,f629]) ).

fof(f1272,plain,
    ~ spl13_20,
    inference(avatar_contradiction_clause,[],[f1270]) ).

fof(f1274,plain,
    ( $false
    | ~ spl13_18 ),
    inference(unit_resulting_resolution,[],[f627,f631,f629,f630,f632,f892]) ).

fof(f1281,plain,
    ~ spl13_18,
    inference(avatar_contradiction_clause,[],[f1274]) ).

fof(f1283,plain,
    ( $false
    | ~ spl13_6
    | spl13_17
    | ~ spl13_19 ),
    inference(unit_resulting_resolution,[],[f671,f628,f909,f1258]) ).

fof(f1289,plain,
    ( ~ spl13_6
    | spl13_17
    | ~ spl13_19 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

cnf(s2,plain,
    ( spl13_3
    | spl13_4 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s4,plain,
    ~ spl13_3,
    inference(sat_conversion,[],[f797]) ).

cnf(s5,plain,
    ( spl13_5
    | spl13_6 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s7,plain,
    ~ spl13_5,
    inference(sat_conversion,[],[f811]) ).

cnf(s8,plain,
    ( spl13_5
    | spl13_7 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s9,plain,
    ( ~ spl13_7
    | spl13_8
    | spl13_9 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s11,plain,
    ~ spl13_8,
    inference(sat_conversion,[],[f842]) ).

cnf(s12,plain,
    spl13_2,
    inference(sat_conversion,[],[f858]) ).

cnf(s13,plain,
    ( spl13_10
    | spl13_11 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s14,plain,
    ( ~ spl13_2
    | ~ spl13_9
    | spl13_12 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s16,plain,
    ( ~ spl13_12
    | spl13_16
    | spl13_17
    | spl13_18
    | spl13_19 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s17,plain,
    ( ~ spl13_2
    | ~ spl13_9
    | ~ spl13_16
    | ~ spl13_17
    | spl13_20 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s19,plain,
    ( ~ spl13_4
    | ~ spl13_16
    | spl13_17 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s23,plain,
    ~ spl13_11,
    inference(sat_conversion,[],[f996]) ).

cnf(s46,plain,
    ( ~ spl13_17
    | spl13_54
    | spl13_55 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s47,plain,
    ( spl13_19
    | ~ spl13_55 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s48,plain,
    ( spl13_16
    | ~ spl13_54 ),
    inference(sat_conversion,[],[f1256]) ).

cnf(s49,plain,
    ( ~ spl13_9
    | ~ spl13_10
    | ~ spl13_17
    | ~ spl13_19
    | spl13_20 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s50,plain,
    ~ spl13_20,
    inference(sat_conversion,[],[f1272]) ).

cnf(s51,plain,
    ~ spl13_18,
    inference(sat_conversion,[],[f1281]) ).

cnf(s52,plain,
    ( ~ spl13_6
    | spl13_17
    | ~ spl13_19 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s53,plain,
    ( ~ spl13_9
    | ~ spl13_10
    | ~ spl13_17
    | ~ spl13_19 ),
    inference(rat,[],[s49,s50]) ).

cnf(s54,plain,
    ( ~ spl13_2
    | ~ spl13_9
    | ~ spl13_16
    | ~ spl13_17 ),
    inference(rat,[],[s17,s50]) ).

cnf(s55,plain,
    ( ~ spl13_12
    | spl13_16
    | spl13_17
    | spl13_19 ),
    inference(rat,[],[s16,s51]) ).

cnf(s56,plain,
    spl13_10,
    inference(rat,[],[s13,s23]) ).

cnf(s57,plain,
    ( ~ spl13_7
    | spl13_9 ),
    inference(rat,[],[s9,s11]) ).

cnf(s60,plain,
    spl13_7,
    inference(rat,[],[s8,s7]) ).

cnf(s61,plain,
    spl13_9,
    inference(rat,[],[s57,s60]) ).

cnf(s62,plain,
    spl13_12,
    inference(rat,[],[s14,s12,s61]) ).

cnf(s63,plain,
    spl13_6,
    inference(rat,[],[s5,s7]) ).

cnf(s66,plain,
    spl13_4,
    inference(rat,[],[s2,s4]) ).

cnf(s68,plain,
    ( spl13_17
    | spl13_16 ),
    inference(rat,[],[s55,s52,s62,s63]) ).

cnf(s69,plain,
    spl13_16,
    inference(rat,[],[s47,s46,s53,s68,s48,s56,s61]) ).

cnf(s70,plain,
    spl13_17,
    inference(rat,[],[s19,s66,s69]) ).

cnf(s71,plain,
    $false,
    inference(rat,[],[s54,s61,s12,s70,s69]) ).

fof(f1290,plain,
    $false,
    inference(avatar_sat_refutation,[],[s71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB041+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n016.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 28 07:15:18 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.18/2.70  % (3451048)Detected formulas, will run a generic FOF schedule.
% 11.18/2.70  % (3451094)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=753752008:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.18/2.70  % (3451101)dis-21_1_sil=8000:lcm=predicate:random_seed=1619159691: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)
% 11.18/2.70  % (3451101)Instruction limit reached! 
% 11.18/2.70  % (3451101)------------------------------
% 11.18/2.70  % (3451101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451101)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451101)Termination reason: Instruction limit
% 11.18/2.70  % (3451101)Termination phase: Saturation
% 11.18/2.70  % (3451101)Time elapsed: 0.076 s
% 11.18/2.70  % (3451101)Peak memory usage: 91 MB
% 11.18/2.70  % (3451101)Instructions burned: 129 (million)
% 11.18/2.70  % (3451098)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2008989871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.18/2.70  % (3451100)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3361780246:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.18/2.70  % (3451097)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=3845348194:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.18/2.70  % (3451096)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=1665585595:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.18/2.70  % (3451098)Refutation not found, incomplete strategy
% 11.18/2.70  % (3451098)------------------------------
% 11.18/2.70  % (3451098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451098)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451098)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.70  % (3451098)Time elapsed: 0.010 s
% 11.18/2.70  % (3451098)Peak memory usage: 88 MB
% 11.18/2.70  % (3451098)Instructions burned: 9 (million)
% 11.18/2.70  % (3451099)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4002638792:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.18/2.70  % (3451099)Instruction limit reached! 
% 11.18/2.70  % (3451099)------------------------------
% 11.18/2.70  % (3451099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451099)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451099)Termination reason: Instruction limit
% 11.18/2.70  % (3451099)Termination phase: Saturation
% 11.18/2.70  % (3451099)Time elapsed: 0.112 s
% 11.18/2.70  % (3451099)Peak memory usage: 89 MB
% 11.18/2.70  % (3451099)Instructions burned: 119 (million)
% 11.18/2.70  % (3451100)Instruction limit reached! 
% 11.18/2.70  % (3451100)------------------------------
% 11.18/2.70  % (3451100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451100)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451100)Termination reason: Instruction limit
% 11.18/2.70  % (3451100)Termination phase: Saturation
% 11.18/2.70  % (3451100)Time elapsed: 0.147 s
% 11.18/2.70  % (3451100)Peak memory usage: 91 MB
% 11.18/2.70  % (3451100)Instructions burned: 139 (million)
% 11.18/2.70  % (3451109)lrs+10_1_sil=8000:sp=occurrence:random_seed=4162838853:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.18/2.70  % (3451098)------------------------------
% 11.18/2.70  % (3451098)------------------------------
% 11.18/2.70  % (3451116)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1916487076:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.18/2.70  % (3451116)Refutation not found, incomplete strategy
% 11.18/2.70  % (3451116)------------------------------
% 11.18/2.70  % (3451116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451116)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451116)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.70  % (3451116)Time elapsed: 0.010 s
% 11.18/2.70  % (3451116)Peak memory usage: 89 MB
% 11.18/2.70  % (3451116)Instructions burned: 11 (million)
% 11.18/2.70  % (3451115)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2359486557:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.18/2.70  % (3451115)Refutation not found, incomplete strategy
% 11.18/2.70  % (3451115)------------------------------
% 11.18/2.70  % (3451115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451115)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451115)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.70  % (3451115)Time elapsed: 0.014 s
% 11.18/2.70  % (3451115)Peak memory usage: 89 MB
% 11.18/2.70  % (3451115)Instructions burned: 13 (million)
% 11.18/2.70  % (3451109)Instruction limit reached! 
% 11.18/2.70  % (3451109)------------------------------
% 11.18/2.70  % (3451109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451109)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451109)Termination reason: Instruction limit
% 11.18/2.70  % (3451109)Termination phase: Saturation
% 11.18/2.70  % (3451109)Time elapsed: 0.269 s
% 11.18/2.70  % (3451109)Peak memory usage: 92 MB
% 11.18/2.70  % (3451109)Instructions burned: 286 (million)
% 11.18/2.70  % (3451126)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=1034964520:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.18/2.70  % (3451116)------------------------------
% 11.18/2.70  % (3451116)------------------------------
% 11.18/2.70  % (3451128)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2015303951:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 11.18/2.70  % (3451128)Refutation not found, incomplete strategy
% 11.18/2.70  % (3451128)------------------------------
% 11.18/2.70  % (3451128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451128)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451128)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.70  % (3451128)Time elapsed: 0.013 s
% 11.18/2.70  % (3451128)Peak memory usage: 89 MB
% 11.18/2.70  % (3451115)------------------------------
% 11.18/2.70  % (3451115)------------------------------
% 11.18/2.70  % (3451128)Instructions burned: 12 (million)
% 11.18/2.70  % (3451126)Instruction limit reached! 
% 11.18/2.70  % (3451126)------------------------------
% 11.18/2.70  % (3451126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451126)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451126)Termination reason: Instruction limit
% 11.18/2.70  % (3451126)Termination phase: Saturation
% 11.18/2.70  % (3451126)Time elapsed: 0.221 s
% 11.18/2.70  % (3451126)Peak memory usage: 93 MB
% 11.18/2.70  % (3451126)Instructions burned: 248 (million)
% 11.18/2.70  % (3451132)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2264997859:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 11.18/2.70  % (3451135)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1779711073:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 11.18/2.70  % (3451096)First to succeed.
% 11.18/2.70  % (3451096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3451048"
% 11.18/2.70  % (3451137)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2447352075:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 11.18/2.70  % (3451128)------------------------------
% 11.18/2.70  % (3451128)------------------------------
% 11.18/2.70  % (3451135)Instruction limit reached! 
% 11.18/2.70  % (3451135)------------------------------
% 11.18/2.70  % (3451135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451135)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451135)Termination reason: Instruction limit
% 11.18/2.70  % (3451135)Termination phase: Saturation
% 11.18/2.70  % (3451135)Time elapsed: 0.117 s
% 11.18/2.70  % (3451135)Peak memory usage: 90 MB
% 11.18/2.70  % (3451135)Instructions burned: 114 (million)
% 11.18/2.70  % (3451137)Instruction limit reached! 
% 11.18/2.70  % (3451137)------------------------------
% 11.18/2.70  % (3451137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.70  % (3451137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.70  % (3451137)CaDiCaL version: 2.1.3
% 11.18/2.70  % (3451137)Termination reason: Instruction limit
% 11.18/2.70  % (3451137)Termination phase: Saturation
% 11.18/2.70  % (3451137)Time elapsed: 0.108 s
% 11.18/2.70  % (3451137)Peak memory usage: 90 MB
% 11.18/2.70  % (3451137)Instructions burned: 127 (million)
% 11.18/2.70  % (3451145)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1972281858:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 11.18/2.70  % (3451146)lrs+10_1_sil=8000:sp=occurrence:random_seed=378117477:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 11.18/2.70  % (3451096)Refutation found. Thanks to Tanya!
% 11.18/2.70  % SZS status Theorem for theBenchmark
% 11.18/2.70  % SZS output start Proof for theBenchmark
% See solution above
% 13.50/2.91  % (3451096)------------------------------
% 13.50/2.91  % (3451096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/2.91  % (3451096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/2.91  % (3451096)CaDiCaL version: 2.1.3
% 13.50/2.91  % (3451096)Termination reason: Refutation
% 13.50/2.91  % (3451096)Time elapsed: 1.183 s
% 13.50/2.91  % (3451096)Peak memory usage: 131 MB
% 13.50/2.91  % (3451096)Instructions burned: 1107 (million)
% 13.50/2.91  % (3451096)------------------------------
% 13.50/2.91  % (3451096)------------------------------
% 13.50/2.91  % (3451048)Success in time 1.83 s
% 13.50/2.91  % Vampire exiting
%------------------------------------------------------------------------------