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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB020+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 : n006.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 8.35s 2.13s
% Output   : Refutation 9.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  154 (  37 unt;  10 def)
%            Number of atoms       :  819 (   0 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives : 1094 ( 429   ~; 440   |; 190   &)
%                                         (  28 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  11 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-4 aty)
%            Number of variables   :  297 (   0 sgn 278   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
     => ( ic(X0)
        & ic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).

fof(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f282,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).

fof(f290,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).

fof(f343,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f350,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ~ ( icext(X0,X2)
              & icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).

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

fof(f561,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( iext(uri_owl_unionOf,uri_ex_c,X2)
      & iext(uri_rdf_first,X2,uri_ex_c1)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_ex_c2)
      & iext(uri_rdf_rest,X3,X4)
      & iext(uri_rdf_first,X4,uri_ex_c3)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
      & iext(uri_rdfs_subClassOf,uri_ex_d,X0)
      & iext(uri_owl_intersectionOf,X0,X5)
      & iext(uri_rdf_first,X5,uri_ex_c)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,X1)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_owl_complementOf,X1,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(flattening,[],[f560]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( iext(uri_owl_disjointWith,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ~ icext(X0,X2)
            | ~ icext(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f350]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1) )
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(ennf_transformation,[],[f198]) ).

fof(f581,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f582,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ! [X5] :
              ( icext(X0,X5)
            <=> ( icext(X2,X5)
                & icext(X4,X5) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f581]) ).

fof(f592,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f290]) ).

fof(f593,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_unionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7) ) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f592]) ).

fof(f615,plain,
    ( iext(uri_owl_unionOf,uri_ex_c,sK2)
    & iext(uri_rdf_first,sK2,uri_ex_c1)
    & iext(uri_rdf_rest,sK2,sK3)
    & iext(uri_rdf_first,sK3,uri_ex_c2)
    & iext(uri_rdf_rest,sK3,sK4)
    & iext(uri_rdf_first,sK4,uri_ex_c3)
    & iext(uri_rdf_rest,sK4,uri_rdf_nil)
    & iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_d,sK0)
    & iext(uri_owl_intersectionOf,sK0,sK5)
    & iext(uri_rdf_first,sK5,uri_ex_c)
    & iext(uri_rdf_rest,sK5,sK6)
    & iext(uri_rdf_first,sK6,sK1)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_owl_complementOf,sK1,uri_ex_c2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f561]) ).

fof(f616,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f617,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f616]) ).

fof(f618,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f617]) ).

fof(f619,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ~ icext(X1,sK7(X0,X1))
          & icext(X0,sK7(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f618]) ).

fof(f620,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f569]) ).

fof(f621,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f571]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(flattening,[],[f621]) ).

fof(f623,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( icext(X0,X2)
            & icext(X1,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(rectify,[],[f622]) ).

fof(f624,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_disjointWith,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( icext(X0,sK8(X0,X1))
          & icext(X1,sK8(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ~ icext(X0,X3)
              | ~ icext(X1,X3) ) )
        | ~ iext(uri_owl_disjointWith,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f623]) ).

fof(f629,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_intersectionOf,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_intersectionOf,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,[],[f582]) ).

fof(f630,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_intersectionOf,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_intersectionOf,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,[],[f629]) ).

fof(f631,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_intersectionOf,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_intersectionOf,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,[],[f630]) ).

fof(f632,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ( ( ~ icext(X2,sK10(X0,X2,X4))
              | ~ icext(X4,sK10(X0,X2,X4))
              | ~ icext(X0,sK10(X0,X2,X4)) )
            & ( ( icext(X2,sK10(X0,X2,X4))
                & icext(X4,sK10(X0,X2,X4)) )
              | icext(X0,sK10(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_intersectionOf,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,[sK10]),skolemize(X5,sK10(X0,X2,X4))],[f631]) ).

fof(f641,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ( ~ icext(X2,X7)
                  & ~ icext(X4,X7)
                  & ~ icext(X6,X7) )
                | ~ icext(X0,X7) )
              & ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7)
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ( ~ icext(X2,X7)
                    & ~ icext(X4,X7)
                    & ~ icext(X6,X7) ) )
                & ( icext(X2,X7)
                  | icext(X4,X7)
                  | icext(X6,X7)
                  | ~ icext(X0,X7) ) ) )
          | ~ 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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f593]) ).

fof(f642,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ( ~ icext(X2,X7)
                  & ~ icext(X4,X7)
                  & ~ icext(X6,X7) )
                | ~ icext(X0,X7) )
              & ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7)
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ( ~ icext(X2,X7)
                    & ~ icext(X4,X7)
                    & ~ icext(X6,X7) ) )
                & ( icext(X2,X7)
                  | icext(X4,X7)
                  | icext(X6,X7)
                  | ~ icext(X0,X7) ) ) )
          | ~ 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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f641]) ).

fof(f643,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ( ~ icext(X2,X7)
                  & ~ icext(X4,X7)
                  & ~ icext(X6,X7) )
                | ~ icext(X0,X7) )
              & ( icext(X2,X7)
                | icext(X4,X7)
                | icext(X6,X7)
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ( ~ icext(X2,X8)
                    & ~ icext(X4,X8)
                    & ~ icext(X6,X8) ) )
                & ( icext(X2,X8)
                  | icext(X4,X8)
                  | icext(X6,X8)
                  | ~ icext(X0,X8) ) ) )
          | ~ 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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(rectify,[],[f642]) ).

fof(f644,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_unionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ( ( ( ~ icext(X2,sK13(X0,X2,X4,X6))
                & ~ icext(X4,sK13(X0,X2,X4,X6))
                & ~ icext(X6,sK13(X0,X2,X4,X6)) )
              | ~ icext(X0,sK13(X0,X2,X4,X6)) )
            & ( icext(X2,sK13(X0,X2,X4,X6))
              | icext(X4,sK13(X0,X2,X4,X6))
              | icext(X6,sK13(X0,X2,X4,X6))
              | icext(X0,sK13(X0,X2,X4,X6)) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ( ~ icext(X2,X8)
                    & ~ icext(X4,X8)
                    & ~ icext(X6,X8) ) )
                & ( icext(X2,X8)
                  | icext(X4,X8)
                  | icext(X6,X8)
                  | ~ icext(X0,X8) ) ) )
          | ~ 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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X7,sK13(X0,X2,X4,X6))],[f643]) ).

fof(f670,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
    inference(cnf_transformation,[],[f562]) ).

fof(f671,plain,
    iext(uri_owl_complementOf,sK1,uri_ex_c2),
    inference(cnf_transformation,[],[f615]) ).

fof(f672,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f615]) ).

fof(f673,plain,
    iext(uri_rdf_first,sK6,sK1),
    inference(cnf_transformation,[],[f615]) ).

fof(f674,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f615]) ).

fof(f675,plain,
    iext(uri_rdf_first,sK5,uri_ex_c),
    inference(cnf_transformation,[],[f615]) ).

fof(f676,plain,
    iext(uri_owl_intersectionOf,sK0,sK5),
    inference(cnf_transformation,[],[f615]) ).

fof(f677,plain,
    iext(uri_rdfs_subClassOf,uri_ex_d,sK0),
    inference(cnf_transformation,[],[f615]) ).

fof(f678,plain,
    iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
    inference(cnf_transformation,[],[f615]) ).

fof(f679,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(cnf_transformation,[],[f615]) ).

fof(f680,plain,
    iext(uri_rdf_first,sK4,uri_ex_c3),
    inference(cnf_transformation,[],[f615]) ).

fof(f681,plain,
    iext(uri_rdf_rest,sK3,sK4),
    inference(cnf_transformation,[],[f615]) ).

fof(f682,plain,
    iext(uri_rdf_first,sK3,uri_ex_c2),
    inference(cnf_transformation,[],[f615]) ).

fof(f683,plain,
    iext(uri_rdf_rest,sK2,sK3),
    inference(cnf_transformation,[],[f615]) ).

fof(f684,plain,
    iext(uri_rdf_first,sK2,uri_ex_c1),
    inference(cnf_transformation,[],[f615]) ).

fof(f685,plain,
    iext(uri_owl_unionOf,uri_ex_c,sK2),
    inference(cnf_transformation,[],[f615]) ).

fof(f689,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f690,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X1,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f693,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X0,X2)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f697,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X0,X2)
      | ~ icext(X1,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f620]) ).

fof(f704,plain,
    ! [X3,X0,X1] :
      ( ~ icext(X1,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[],[f624]) ).

fof(f711,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_disjointWith,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f727,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ icext(X0,X6)
      | icext(X4,X6)
      | ~ iext(uri_owl_intersectionOf,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,[],[f632]) ).

fof(f728,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ icext(X0,X6)
      | icext(X2,X6)
      | ~ iext(uri_owl_intersectionOf,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,[],[f632]) ).

fof(f753,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | icext(X4,X8)
      | icext(X6,X8)
      | ~ icext(X0,X8)
      | icext(X2,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,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f644]) ).

fof(f757,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ic(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(cnf_transformation,[],[f644]) ).

fof(f834,plain,
    ic(uri_ex_d),
    inference(resolution,[],[f711,f678]) ).

fof(f941,definition,
    ( spl22_11
  <=> ! [X1] : ~ iext(uri_rdf_first,sK5,X1) ),
    introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).

fof(f942,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK5,X1)
    | ~ spl22_11 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f947,plain,
    ( $false
    | ~ spl22_11 ),
    inference(unit_resulting_resolution,[],[f942,f675]) ).

fof(f950,plain,
    ~ spl22_11,
    inference(avatar_contradiction_clause,[],[f947]) ).

fof(f956,definition,
    ( spl22_13
  <=> ! [X2,X1] :
        ( ~ iext(uri_rdf_rest,sK5,X1)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).

fof(f957,plain,
    ( ! [X2,X1] :
        ( ~ iext(uri_rdf_rest,sK5,X1)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl22_13 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f962,plain,
    ( $false
    | ~ spl22_13 ),
    inference(unit_resulting_resolution,[],[f957,f673,f672,f674]) ).

fof(f964,plain,
    ~ spl22_13,
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f1046,definition,
    ( spl22_23
  <=> ! [X1] : ~ iext(uri_rdf_first,sK2,X1) ),
    introduced(definition,[new_symbols(definition,[spl22_23])],[avatar_definition]) ).

fof(f1047,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK2,X1)
    | ~ spl22_23 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1052,plain,
    ( $false
    | ~ spl22_23 ),
    inference(unit_resulting_resolution,[],[f1047,f684]) ).

fof(f1055,plain,
    ~ spl22_23,
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1095,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,sK2,X4)
      | icext(X2,X1)
      | ~ icext(uri_ex_c,X1)
      | icext(X3,X1)
      | ~ iext(uri_rdf_first,sK2,X3)
      | icext(X0,X1)
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X4,X5)
      | ~ iext(uri_rdf_first,X5,X2)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(resolution,[],[f753,f685]) ).

fof(f1096,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,sK3,X4)
      | ~ icext(uri_ex_c,X1)
      | icext(X2,X1)
      | ~ iext(uri_rdf_first,sK2,X2)
      | icext(X3,X1)
      | ~ iext(uri_rdf_first,sK3,X3)
      | icext(X0,X1)
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    inference(resolution,[],[f1095,f683]) ).

fof(f1097,plain,
    ! [X2,X3,X0,X1] :
      ( ~ icext(uri_ex_c,X0)
      | icext(X1,X0)
      | ~ iext(uri_rdf_first,sK2,X1)
      | icext(X2,X0)
      | ~ iext(uri_rdf_first,sK3,X2)
      | icext(X3,X0)
      | ~ iext(uri_rdf_first,sK4,X3)
      | ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
    inference(resolution,[],[f1096,f681]) ).

fof(f1098,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK4,X3)
      | icext(X1,X0)
      | ~ iext(uri_rdf_first,sK2,X1)
      | icext(X2,X0)
      | ~ iext(uri_rdf_first,sK3,X2)
      | icext(X3,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(forward_subsumption_resolution,[],[f1097,f679]) ).

fof(f1099,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK3,X2)
      | ~ iext(uri_rdf_first,sK2,X0)
      | icext(X2,X1)
      | icext(X0,X1)
      | icext(uri_ex_c3,X1)
      | ~ icext(uri_ex_c,X1) ),
    inference(resolution,[],[f1098,f680]) ).

fof(f1100,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK2,X0)
      | icext(uri_ex_c2,X1)
      | icext(X0,X1)
      | icext(uri_ex_c3,X1)
      | ~ icext(uri_ex_c,X1) ),
    inference(resolution,[],[f1099,f682]) ).

fof(f1101,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c,X0)
      | icext(uri_ex_c1,X0)
      | icext(uri_ex_c3,X0)
      | icext(uri_ex_c2,X0) ),
    inference(resolution,[],[f1100,f684]) ).

fof(f1186,definition,
    ( spl22_41
  <=> ! [X2] : ~ iext(uri_rdf_first,sK3,X2) ),
    introduced(definition,[new_symbols(definition,[spl22_41])],[avatar_definition]) ).

fof(f1187,plain,
    ( ! [X2] : ~ iext(uri_rdf_first,sK3,X2)
    | ~ spl22_41 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f1217,plain,
    ( $false
    | ~ spl22_41 ),
    inference(unit_resulting_resolution,[],[f1187,f682]) ).

fof(f1220,plain,
    ~ spl22_41,
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1261,plain,
    ! [X0] :
      ( ~ icext(uri_ex_d,X0)
      | icext(sK0,X0) ),
    inference(resolution,[],[f693,f677]) ).

fof(f1502,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ic(X0)
      | ~ iext(uri_rdf_first,sK2,X1)
      | ~ iext(uri_rdf_rest,sK2,X2)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    inference(resolution,[],[f757,f685]) ).

fof(f1505,definition,
    ( spl22_67
  <=> ! [X4,X0,X3,X2] :
        ( ic(X0)
        | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,X2,X4)
        | ~ iext(uri_rdf_rest,sK2,X2)
        | ~ iext(uri_rdf_first,X4,X0)
        | ~ iext(uri_rdf_first,X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl22_67])],[avatar_definition]) ).

fof(f1506,plain,
    ( ! [X2,X3,X0,X4] :
        ( ~ iext(uri_rdf_rest,sK2,X2)
        | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,X2,X4)
        | ic(X0)
        | ~ iext(uri_rdf_first,X4,X0)
        | ~ iext(uri_rdf_first,X2,X3) )
    | ~ spl22_67 ),
    inference(avatar_component_clause,[],[f1505]) ).

fof(f1507,plain,
    ( spl22_23
    | spl22_67 ),
    inference(avatar_split_clause,[],[f1502,f1505,f1046]) ).

fof(f1508,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK3,X0)
        | ic(X1)
        | ~ iext(uri_rdf_first,X0,X1)
        | ~ iext(uri_rdf_first,sK3,X2) )
    | ~ spl22_67 ),
    inference(resolution,[],[f1506,f683]) ).

fof(f1510,definition,
    ( spl22_68
  <=> ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X0,X1)
        | ic(X1)
        | ~ iext(uri_rdf_rest,sK3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl22_68])],[avatar_definition]) ).

fof(f1511,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_rest,sK3,X0)
        | ~ iext(uri_rdf_first,X0,X1)
        | ic(X1)
        | ~ iext(uri_rdf_rest,X0,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1512,plain,
    ( spl22_41
    | spl22_68
    | ~ spl22_67 ),
    inference(avatar_split_clause,[],[f1508,f1505,f1510,f1186]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK4,X0)
        | ic(X0)
        | ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1511,f681]) ).

fof(f1514,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK4,X0)
        | ic(X0) )
    | ~ spl22_68 ),
    inference(forward_subsumption_resolution,[],[f1513,f679]) ).

fof(f1515,plain,
    ( ic(uri_ex_c3)
    | ~ spl22_68 ),
    inference(resolution,[],[f1514,f680]) ).

fof(f1520,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_c3,sK7(X0,uri_ex_c3))
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | ~ ic(X0) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1515,f690]) ).

fof(f1521,plain,
    ( ! [X0] :
        ( ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,uri_ex_c3)
        | icext(X0,sK7(X0,uri_ex_c3)) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1515,f689]) ).

fof(f1562,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
    | icext(uri_ex_d,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_68 ),
    inference(resolution,[],[f1521,f834]) ).

fof(f1611,plain,
    ( icext(uri_ex_d,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_68 ),
    inference(forward_subsumption_resolution,[],[f1562,f670]) ).

fof(f1612,plain,
    ( icext(sK0,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_68 ),
    inference(resolution,[],[f1611,f1261]) ).

fof(f1631,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_owl_intersectionOf,sK0,X1)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,X1,X2)
        | ~ iext(uri_rdf_rest,X1,X3)
        | ~ iext(uri_rdf_first,X3,X0)
        | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1612,f727]) ).

fof(f1632,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_owl_intersectionOf,sK0,X1)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,X1,X0)
        | ~ iext(uri_rdf_rest,X1,X2)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1612,f728]) ).

fof(f1675,definition,
    ( spl22_86
  <=> icext(uri_ex_c3,sK7(uri_ex_d,uri_ex_c3)) ),
    introduced(definition,[new_symbols(definition,[spl22_86])],[avatar_definition]) ).

fof(f1676,plain,
    ( icext(uri_ex_c3,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_86 ),
    inference(avatar_component_clause,[],[f1675]) ).

fof(f1678,definition,
    ( spl22_87
  <=> icext(uri_ex_c1,sK7(uri_ex_d,uri_ex_c3)) ),
    introduced(definition,[new_symbols(definition,[spl22_87])],[avatar_definition]) ).

fof(f1679,plain,
    ( icext(uri_ex_c1,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_87 ),
    inference(avatar_component_clause,[],[f1678]) ).

fof(f1721,plain,
    ( ! [X2,X0,X1] :
        ( icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK5,X1)
        | ~ iext(uri_rdf_rest,sK5,X2)
        | ~ iext(uri_rdf_first,X2,X0)
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1631,f676]) ).

fof(f1723,definition,
    ( spl22_88
  <=> ! [X2,X0] :
        ( icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
        | ~ iext(uri_rdf_rest,sK5,X2)
        | ~ iext(uri_rdf_first,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl22_88])],[avatar_definition]) ).

fof(f1724,plain,
    ( ! [X2,X0] :
        ( ~ iext(uri_rdf_rest,sK5,X2)
        | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,X2,X0) )
    | ~ spl22_88 ),
    inference(avatar_component_clause,[],[f1723]) ).

fof(f1725,plain,
    ( spl22_11
    | spl22_88
    | ~ spl22_68 ),
    inference(avatar_split_clause,[],[f1721,f1510,f1723,f941]) ).

fof(f1726,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK6,X0) )
    | ~ spl22_88 ),
    inference(resolution,[],[f1724,f674]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK6,X0)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3)) )
    | ~ spl22_88 ),
    inference(forward_subsumption_resolution,[],[f1726,f672]) ).

fof(f1728,plain,
    ( icext(sK1,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_88 ),
    inference(resolution,[],[f1727,f673]) ).

fof(f1729,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_complementOf,sK1,X0)
        | ~ icext(X0,sK7(uri_ex_d,uri_ex_c3)) )
    | ~ spl22_88 ),
    inference(resolution,[],[f1728,f697]) ).

fof(f1754,plain,
    ( ~ icext(uri_ex_c2,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_88 ),
    inference(resolution,[],[f1729,f671]) ).

fof(f1755,plain,
    ( ! [X2,X0,X1] :
        ( icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK5,X0)
        | ~ iext(uri_rdf_rest,sK5,X1)
        | ~ iext(uri_rdf_first,X1,X2)
        | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
    | ~ spl22_68 ),
    inference(resolution,[],[f1632,f676]) ).

fof(f1757,definition,
    ( spl22_90
  <=> ! [X0] :
        ( icext(X0,sK7(uri_ex_d,uri_ex_c3))
        | ~ iext(uri_rdf_first,sK5,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl22_90])],[avatar_definition]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_first,sK5,X0)
        | icext(X0,sK7(uri_ex_d,uri_ex_c3)) )
    | ~ spl22_90 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f1759,plain,
    ( spl22_13
    | spl22_90
    | ~ spl22_68 ),
    inference(avatar_split_clause,[],[f1755,f1510,f1757,f956]) ).

fof(f1760,plain,
    ( icext(uri_ex_c,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_90 ),
    inference(resolution,[],[f1758,f675]) ).

fof(f1763,plain,
    ( icext(uri_ex_c1,sK7(uri_ex_d,uri_ex_c3))
    | icext(uri_ex_c3,sK7(uri_ex_d,uri_ex_c3))
    | icext(uri_ex_c2,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_90 ),
    inference(resolution,[],[f1760,f1101]) ).

fof(f1776,plain,
    ( icext(uri_ex_c1,sK7(uri_ex_d,uri_ex_c3))
    | icext(uri_ex_c3,sK7(uri_ex_d,uri_ex_c3))
    | ~ spl22_88
    | ~ spl22_90 ),
    inference(forward_subsumption_resolution,[],[f1763,f1754]) ).

fof(f1777,plain,
    ( spl22_86
    | spl22_87
    | ~ spl22_88
    | ~ spl22_90 ),
    inference(avatar_split_clause,[],[f1776,f1757,f1723,f1678,f1675]) ).

fof(f1780,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
    | ~ ic(uri_ex_d)
    | ~ spl22_68
    | ~ spl22_86 ),
    inference(resolution,[],[f1676,f1520]) ).

fof(f1796,plain,
    ( ~ ic(uri_ex_d)
    | ~ spl22_68
    | ~ spl22_86 ),
    inference(forward_subsumption_resolution,[],[f1780,f670]) ).

fof(f1797,plain,
    ( $false
    | ~ spl22_68
    | ~ spl22_86 ),
    inference(forward_subsumption_resolution,[],[f1796,f834]) ).

fof(f1798,plain,
    ( ~ spl22_68
    | ~ spl22_86 ),
    inference(avatar_contradiction_clause,[],[f1797]) ).

fof(f1799,plain,
    ( $false
    | ~ spl22_68
    | ~ spl22_87 ),
    inference(unit_resulting_resolution,[],[f704,f678,f1611,f1679]) ).

fof(f1813,plain,
    ( ~ spl22_68
    | ~ spl22_87 ),
    inference(avatar_contradiction_clause,[],[f1799]) ).

cnf(s8,plain,
    ~ spl22_11,
    inference(sat_conversion,[],[f950]) ).

cnf(s10,plain,
    ~ spl22_13,
    inference(sat_conversion,[],[f964]) ).

cnf(s18,plain,
    ~ spl22_23,
    inference(sat_conversion,[],[f1055]) ).

cnf(s35,plain,
    ~ spl22_41,
    inference(sat_conversion,[],[f1220]) ).

cnf(s54,plain,
    ( spl22_23
    | spl22_67 ),
    inference(sat_conversion,[],[f1507]) ).

cnf(s55,plain,
    ( spl22_41
    | ~ spl22_67
    | spl22_68 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s66,plain,
    ( spl22_11
    | ~ spl22_68
    | spl22_88 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s68,plain,
    ( spl22_13
    | ~ spl22_68
    | spl22_90 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s70,plain,
    ( spl22_86
    | spl22_87
    | ~ spl22_88
    | ~ spl22_90 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s73,plain,
    ( ~ spl22_68
    | ~ spl22_86 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s74,plain,
    ( ~ spl22_68
    | ~ spl22_87 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s81,plain,
    spl22_67,
    inference(rat,[],[s54,s18]) ).

cnf(s84,plain,
    spl22_68,
    inference(rat,[],[s55,s35,s81]) ).

cnf(s87,plain,
    ~ spl22_87,
    inference(rat,[],[s74,s84]) ).

cnf(s88,plain,
    ~ spl22_86,
    inference(rat,[],[s73,s84]) ).

cnf(s91,plain,
    spl22_90,
    inference(rat,[],[s68,s84,s10]) ).

cnf(s93,plain,
    ~ spl22_88,
    inference(rat,[],[s70,s88,s87,s91]) ).

cnf(s95,plain,
    spl22_11,
    inference(rat,[],[s66,s84,s93]) ).

cnf(s97,plain,
    $false,
    inference(rat,[],[s8,s95]) ).

fof(f1814,plain,
    $false,
    inference(avatar_sat_refutation,[],[s97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB020+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n006.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
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 07:03:55 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  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
% 8.35/2.13  % (3785232)Detected formulas, will run a generic FOF schedule.
% 8.35/2.13  % (3785240)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2853602200:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.35/2.13  % (3785240)Refutation not found, incomplete strategy
% 8.35/2.13  % (3785240)------------------------------
% 8.35/2.13  % (3785240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785240)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785240)Termination reason: Refutation not found, incomplete strategy
% 8.35/2.13  % (3785240)Time elapsed: 0.002 s
% 8.35/2.13  % (3785240)Peak memory usage: 88 MB
% 8.35/2.13  % (3785240)Instructions burned: 2 (million)
% 8.35/2.13  % (3785243)dis-21_1_sil=8000:lcm=predicate:random_seed=2829420275: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)
% 8.35/2.13  % (3785237)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=4074652048:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.35/2.13  % (3785238)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=2472709345:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.35/2.13  % (3785239)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=1778575908:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.35/2.13  % (3785242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3947641987:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.35/2.13  % (3785241)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2415572707:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.35/2.13  % (3785241)Instruction limit reached! 
% 8.35/2.13  % (3785241)------------------------------
% 8.35/2.13  % (3785241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785241)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785241)Termination reason: Instruction limit
% 8.35/2.13  % (3785241)Termination phase: Saturation
% 8.35/2.13  % (3785241)Time elapsed: 0.049 s
% 8.35/2.13  % (3785241)Peak memory usage: 87 MB
% 8.35/2.13  % (3785241)Instructions burned: 119 (million)
% 8.35/2.13  % (3785243)Instruction limit reached! 
% 8.35/2.13  % (3785243)------------------------------
% 8.35/2.13  % (3785243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785243)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785243)Termination reason: Instruction limit
% 8.35/2.13  % (3785243)Termination phase: Saturation
% 8.35/2.13  % (3785243)Time elapsed: 0.067 s
% 8.35/2.13  % (3785243)Peak memory usage: 92 MB
% 8.35/2.13  % (3785243)Instructions burned: 129 (million)
% 8.35/2.13  % (3785242)Instruction limit reached! 
% 8.35/2.13  % (3785242)------------------------------
% 8.35/2.13  % (3785242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785242)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785242)Termination reason: Instruction limit
% 8.35/2.13  % (3785242)Termination phase: Saturation
% 8.35/2.13  % (3785242)Time elapsed: 0.079 s
% 8.35/2.13  % (3785242)Peak memory usage: 90 MB
% 8.35/2.13  % (3785242)Instructions burned: 141 (million)
% 8.35/2.13  % (3785240)------------------------------
% 8.35/2.13  % (3785240)------------------------------
% 8.35/2.13  % (3785251)lrs+10_1_sil=8000:sp=occurrence:random_seed=3961378130:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.35/2.13  % (3785252)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3696480101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.35/2.13  % (3785252)Refutation not found, incomplete strategy
% 8.35/2.13  % (3785252)------------------------------
% 8.35/2.13  % (3785252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785252)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785252)Termination reason: Refutation not found, incomplete strategy
% 8.35/2.13  % (3785252)Time elapsed: 0.005 s
% 8.35/2.13  % (3785252)Peak memory usage: 88 MB
% 8.35/2.13  % (3785252)Instructions burned: 7 (million)
% 8.35/2.13  % (3785254)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=986737275:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.35/2.13  % (3785253)lrs+1011_1_sil=32000:sp=occurrence:random_seed=547127787:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.35/2.13  % (3785254)Instruction limit reached! 
% 8.35/2.13  % (3785254)------------------------------
% 8.35/2.13  % (3785254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785254)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785254)Termination reason: Instruction limit
% 8.35/2.13  % (3785254)Termination phase: Saturation
% 8.35/2.13  % (3785254)Time elapsed: 0.069 s
% 8.35/2.13  % (3785254)Peak memory usage: 91 MB
% 8.35/2.13  % (3785254)Instructions burned: 248 (million)
% 8.35/2.13  % (3785253)Instruction limit reached! 
% 8.35/2.13  % (3785253)------------------------------
% 8.35/2.13  % (3785253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785253)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785253)Termination reason: Instruction limit
% 8.35/2.13  % (3785253)Termination phase: Saturation
% 8.35/2.13  % (3785253)Time elapsed: 0.116 s
% 8.35/2.13  % (3785253)Peak memory usage: 88 MB
% 8.35/2.13  % (3785253)Instructions burned: 326 (million)
% 8.35/2.13  % (3785251)Instruction limit reached! 
% 8.35/2.13  % (3785251)------------------------------
% 8.35/2.13  % (3785251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785251)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785251)Termination reason: Instruction limit
% 8.35/2.13  % (3785251)Termination phase: Saturation
% 8.35/2.13  % (3785251)Time elapsed: 0.176 s
% 8.35/2.13  % (3785251)Peak memory usage: 91 MB
% 8.35/2.13  % (3785251)Instructions burned: 285 (million)
% 8.35/2.13  % (3785259)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1996930396:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.35/2.13  % (3785252)------------------------------
% 8.35/2.13  % (3785252)------------------------------
% 8.35/2.13  % (3785259)Instruction limit reached! 
% 8.35/2.13  % (3785259)------------------------------
% 8.35/2.13  % (3785259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785259)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785259)Termination reason: Instruction limit
% 8.35/2.13  % (3785259)Termination phase: Saturation
% 8.35/2.13  % (3785259)Time elapsed: 0.070 s
% 8.35/2.13  % (3785259)Peak memory usage: 89 MB
% 8.35/2.13  % (3785259)Instructions burned: 297 (million)
% 8.35/2.13  % (3785260)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2116848198:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.35/2.13  % (3785261)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2029140473:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.35/2.13  % (3785261)Instruction limit reached! 
% 8.35/2.13  % (3785261)------------------------------
% 8.35/2.13  % (3785261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785261)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785261)Termination reason: Instruction limit
% 8.35/2.13  % (3785261)Termination phase: Saturation
% 8.35/2.13  % (3785261)Time elapsed: 0.066 s
% 8.35/2.13  % (3785261)Peak memory usage: 90 MB
% 8.35/2.13  % (3785261)Instructions burned: 113 (million)
% 8.35/2.13  % (3785263)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=205282708:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.35/2.13  % (3785264)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3330637090:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.35/2.13  % (3785263)Instruction limit reached! 
% 8.35/2.13  % (3785263)------------------------------
% 8.35/2.13  % (3785263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785263)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785263)Termination reason: Instruction limit
% 8.35/2.13  % (3785263)Termination phase: Saturation
% 8.35/2.13  % (3785263)Time elapsed: 0.065 s
% 8.35/2.13  % (3785263)Peak memory usage: 90 MB
% 8.35/2.13  % (3785263)Instructions burned: 129 (million)
% 8.35/2.13  % (3785264)Instruction limit reached! 
% 8.35/2.13  % (3785264)------------------------------
% 8.35/2.13  % (3785264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785264)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785264)Termination reason: Instruction limit
% 8.35/2.13  % (3785264)Termination phase: Saturation
% 8.35/2.13  % (3785264)Time elapsed: 0.052 s
% 8.35/2.13  % (3785264)Peak memory usage: 89 MB
% 8.35/2.13  % (3785264)Instructions burned: 115 (million)
% 8.35/2.13  % (3785267)lrs+10_1_sil=8000:sp=occurrence:random_seed=1935874070:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.35/2.13  % (3785238)First to succeed.
% 8.35/2.13  % (3785238)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3785232"
% 8.35/2.13  % (3785270)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2289574265:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.35/2.13  % (3785271)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=496320463:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.35/2.13  % (3785270)Instruction limit reached! 
% 8.35/2.13  % (3785270)------------------------------
% 8.35/2.13  % (3785270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.13  % (3785270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.13  % (3785270)CaDiCaL version: 2.1.3
% 8.35/2.13  % (3785270)Termination reason: Instruction limit
% 8.35/2.13  % (3785270)Termination phase: Saturation
% 8.35/2.13  % (3785270)Time elapsed: 0.159 s
% 8.35/2.13  % (3785270)Peak memory usage: 89 MB
% 8.35/2.13  % (3785270)Instructions burned: 439 (million)
% 8.35/2.13  % (3785238)Refutation found. Thanks to Tanya!
% 8.35/2.13  % SZS status Theorem for theBenchmark
% 8.35/2.13  % SZS output start Proof for theBenchmark
% See solution above
% 9.55/2.33  % (3785238)------------------------------
% 9.55/2.33  % (3785238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.55/2.33  % (3785238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.33  % (3785238)CaDiCaL version: 2.1.3
% 9.55/2.33  % (3785238)Termination reason: Refutation
% 9.55/2.33  % (3785238)Time elapsed: 0.828 s
% 9.55/2.33  % (3785238)Peak memory usage: 131 MB
% 9.55/2.33  % (3785238)Instructions burned: 1260 (million)
% 9.55/2.33  % (3785238)------------------------------
% 9.55/2.33  % (3785238)------------------------------
% 9.55/2.33  % (3785232)Success in time 1.273 s
% 9.55/2.33  % Vampire exiting
%------------------------------------------------------------------------------