TSTP Solution File: LAT310+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT310+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:32:32 EDT 2023

% Result   : Theorem 151.49s 22.46s
% Output   : Refutation 151.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  127 (  19 unt;   0 def)
%            Number of atoms       :  620 (  19 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  800 ( 307   ~; 323   |; 135   &)
%                                         (   9 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  133 (; 105   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f415787,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17565,f17569,f31312,f387210,f387435,f415756]) ).

fof(f415756,plain,
    ( spl1263_1
    | ~ spl1263_3 ),
    inference(avatar_contradiction_clause,[],[f415755]) ).

fof(f415755,plain,
    ( $false
    | spl1263_1
    | ~ spl1263_3 ),
    inference(subsumption_resolution,[],[f415665,f387861]) ).

fof(f387861,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387860,f8821]) ).

fof(f8821,plain,
    ~ v3_struct_0(sK124),
    inference(cnf_transformation,[],[f6445]) ).

fof(f6445,plain,
    ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
      | ( ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,sK127))
        & r1_tarski(sK126,sK127) ) )
    & m1_subset_1(sK127,k1_zfmisc_1(u1_struct_0(sK124)))
    & ~ v1_xboole_0(sK127)
    & m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124)))
    & ~ v1_xboole_0(sK126)
    & m1_subset_1(sK125,k1_zfmisc_1(u1_struct_0(sK124)))
    & ~ v1_xboole_0(sK125)
    & l3_lattices(sK124)
    & v10_lattices(sK124)
    & ~ v3_struct_0(sK124) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK124,sK125,sK126,sK127])],[f3060,f6444,f6443,f6442,f6441]) ).

fof(f6441,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                        & r1_tarski(X2,X3) ) )
                    & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,X1)),k19_filter_2(sK124,X1))
                    | ( ~ r1_tarski(k19_filter_2(sK124,X2),k19_filter_2(sK124,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK124)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK124)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(sK124)
      & v10_lattices(sK124)
      & ~ v3_struct_0(sK124) ) ),
    introduced(choice_axiom,[]) ).

fof(f6442,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,X1)),k19_filter_2(sK124,X1))
                  | ( ~ r1_tarski(k19_filter_2(sK124,X2),k19_filter_2(sK124,X3))
                    & r1_tarski(X2,X3) ) )
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
                & ~ v1_xboole_0(X3) )
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK124)))
            & ~ v1_xboole_0(X2) )
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK124)))
        & ~ v1_xboole_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
                | ( ~ r1_tarski(k19_filter_2(sK124,X2),k19_filter_2(sK124,X3))
                  & r1_tarski(X2,X3) ) )
              & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
              & ~ v1_xboole_0(X3) )
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK124)))
          & ~ v1_xboole_0(X2) )
      & m1_subset_1(sK125,k1_zfmisc_1(u1_struct_0(sK124)))
      & ~ v1_xboole_0(sK125) ) ),
    introduced(choice_axiom,[]) ).

fof(f6443,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
              | ( ~ r1_tarski(k19_filter_2(sK124,X2),k19_filter_2(sK124,X3))
                & r1_tarski(X2,X3) ) )
            & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
            & ~ v1_xboole_0(X3) )
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK124)))
        & ~ v1_xboole_0(X2) )
   => ( ? [X3] :
          ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
            | ( ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,X3))
              & r1_tarski(sK126,X3) ) )
          & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
          & ~ v1_xboole_0(X3) )
      & m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124)))
      & ~ v1_xboole_0(sK126) ) ),
    introduced(choice_axiom,[]) ).

fof(f6444,plain,
    ( ? [X3] :
        ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
          | ( ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,X3))
            & r1_tarski(sK126,X3) ) )
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK124)))
        & ~ v1_xboole_0(X3) )
   => ( ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
        | ( ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,sK127))
          & r1_tarski(sK126,sK127) ) )
      & m1_subset_1(sK127,k1_zfmisc_1(u1_struct_0(sK124)))
      & ~ v1_xboole_0(sK127) ) ),
    introduced(choice_axiom,[]) ).

fof(f3060,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f3059]) ).

fof(f3059,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2969]) ).

fof(f2969,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X1) )
           => ! [X2] :
                ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X2) )
               => ! [X3] :
                    ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                      & ~ v1_xboole_0(X3) )
                   => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      & ( r1_tarski(X2,X3)
                       => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f2968]) ).

fof(f2968,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
             => ! [X3] :
                  ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                 => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    & ( r1_tarski(X2,X3)
                     => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',t39_filter_2) ).

fof(f387860,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387859,f8822]) ).

fof(f8822,plain,
    v10_lattices(sK124),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387859,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387858,f8823]) ).

fof(f8823,plain,
    l3_lattices(sK124),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387858,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387857,f8826]) ).

fof(f8826,plain,
    ~ v1_xboole_0(sK126),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387857,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | v1_xboole_0(sK126)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387856,f8827]) ).

fof(f8827,plain,
    m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124))),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387856,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(sK126)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387855,f28808]) ).

fof(f28808,plain,
    m2_filter_2(k19_filter_2(sK124,sK126),sK124),
    inference(subsumption_resolution,[],[f28807,f8821]) ).

fof(f28807,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f28806,f8822]) ).

fof(f28806,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f28805,f8823]) ).

fof(f28805,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f27745,f8826]) ).

fof(f27745,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | v1_xboole_0(sK126)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(resolution,[],[f8827,f12082]) ).

fof(f12082,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f4860]) ).

fof(f4860,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f4859]) ).

fof(f4859,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2908]) ).

fof(f2908,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & ~ v1_xboole_0(X1)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(k19_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',dt_k19_filter_2) ).

fof(f387855,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | ~ m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(sK126)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(subsumption_resolution,[],[f387813,f30612]) ).

fof(f30612,plain,
    m2_filter_2(k19_filter_2(sK124,sK127),sK124),
    inference(subsumption_resolution,[],[f30611,f8821]) ).

fof(f30611,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f30610,f8822]) ).

fof(f30610,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f30609,f8823]) ).

fof(f30609,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f29549,f8828]) ).

fof(f8828,plain,
    ~ v1_xboole_0(sK127),
    inference(cnf_transformation,[],[f6445]) ).

fof(f29549,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | v1_xboole_0(sK127)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(resolution,[],[f8829,f12082]) ).

fof(f8829,plain,
    m1_subset_1(sK127,k1_zfmisc_1(u1_struct_0(sK124))),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387813,plain,
    ( ~ r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | ~ m2_filter_2(k19_filter_2(sK124,sK126),sK124)
    | ~ m1_subset_1(sK126,k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(sK126)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_1 ),
    inference(resolution,[],[f17561,f14438]) ).

fof(f14438,plain,
    ! [X0,X1,X4] :
      ( r1_tarski(k19_filter_2(X0,X1),X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f11019]) ).

fof(f11019,plain,
    ! [X2,X0,X1,X4] :
      ( r1_tarski(X2,X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f7463]) ).

fof(f7463,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ( ~ r1_tarski(X2,sK525(X0,X1,X2))
                    & r1_tarski(X1,sK525(X0,X1,X2))
                    & m2_filter_2(sK525(X0,X1,X2),X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK525])],[f7461,f7462]) ).

fof(f7462,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ r1_tarski(X2,X3)
          & r1_tarski(X1,X3)
          & m2_filter_2(X3,X0) )
     => ( ~ r1_tarski(X2,sK525(X0,X1,X2))
        & r1_tarski(X1,sK525(X0,X1,X2))
        & m2_filter_2(sK525(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f7461,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f7460]) ).

fof(f7460,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f7459]) ).

fof(f7459,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f4179]) ).

fof(f4179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f4178]) ).

fof(f4178,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2964]) ).

fof(f2964,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( m2_filter_2(X2,X0)
             => ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( m2_filter_2(X3,X0)
                     => ( r1_tarski(X1,X3)
                       => r1_tarski(X2,X3) ) )
                  & r1_tarski(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',d11_filter_2) ).

fof(f17561,plain,
    ( ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,sK127))
    | spl1263_1 ),
    inference(avatar_component_clause,[],[f17560]) ).

fof(f17560,plain,
    ( spl1263_1
  <=> r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,sK127)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1263_1])]) ).

fof(f415665,plain,
    ( r1_tarski(sK126,k19_filter_2(sK124,sK127))
    | ~ spl1263_3 ),
    inference(resolution,[],[f387718,f30691]) ).

fof(f30691,plain,
    r1_tarski(sK127,k19_filter_2(sK124,sK127)),
    inference(subsumption_resolution,[],[f30690,f8821]) ).

fof(f30690,plain,
    ( r1_tarski(sK127,k19_filter_2(sK124,sK127))
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f30689,f8822]) ).

fof(f30689,plain,
    ( r1_tarski(sK127,k19_filter_2(sK124,sK127))
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f30688,f8823]) ).

fof(f30688,plain,
    ( r1_tarski(sK127,k19_filter_2(sK124,sK127))
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f30687,f8828]) ).

fof(f30687,plain,
    ( r1_tarski(sK127,k19_filter_2(sK124,sK127))
    | v1_xboole_0(sK127)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f29575,f30612]) ).

fof(f29575,plain,
    ( r1_tarski(sK127,k19_filter_2(sK124,sK127))
    | ~ m2_filter_2(k19_filter_2(sK124,sK127),sK124)
    | v1_xboole_0(sK127)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(resolution,[],[f8829,f14439]) ).

fof(f14439,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,k19_filter_2(X0,X1))
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f11018]) ).

fof(f11018,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X1,X2)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f7463]) ).

fof(f387718,plain,
    ( ! [X76] :
        ( ~ r1_tarski(sK127,X76)
        | r1_tarski(sK126,X76) )
    | ~ spl1263_3 ),
    inference(resolution,[],[f17568,f13094]) ).

fof(f13094,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f5730]) ).

fof(f5730,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(flattening,[],[f5729]) ).

fof(f5729,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X0,X1) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',t1_xboole_1) ).

fof(f17568,plain,
    ( r1_tarski(sK126,sK127)
    | ~ spl1263_3 ),
    inference(avatar_component_clause,[],[f17567]) ).

fof(f17567,plain,
    ( spl1263_3
  <=> r1_tarski(sK126,sK127) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1263_3])]) ).

fof(f387435,plain,
    ~ spl1263_806,
    inference(avatar_contradiction_clause,[],[f387434]) ).

fof(f387434,plain,
    ( $false
    | ~ spl1263_806 ),
    inference(subsumption_resolution,[],[f205332,f31308]) ).

fof(f31308,plain,
    ( v1_xboole_0(k19_filter_2(sK124,sK125))
    | ~ spl1263_806 ),
    inference(avatar_component_clause,[],[f31307]) ).

fof(f31307,plain,
    ( spl1263_806
  <=> v1_xboole_0(k19_filter_2(sK124,sK125)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1263_806])]) ).

fof(f205332,plain,
    ~ v1_xboole_0(k19_filter_2(sK124,sK125)),
    inference(resolution,[],[f26315,f19122]) ).

fof(f19122,plain,
    ! [X225] :
      ( ~ m2_filter_2(X225,sK124)
      | ~ v1_xboole_0(X225) ),
    inference(subsumption_resolution,[],[f19121,f8822]) ).

fof(f19121,plain,
    ! [X225] :
      ( ~ v1_xboole_0(X225)
      | ~ m2_filter_2(X225,sK124)
      | ~ v10_lattices(sK124) ),
    inference(subsumption_resolution,[],[f17805,f8823]) ).

fof(f17805,plain,
    ! [X225] :
      ( ~ v1_xboole_0(X225)
      | ~ m2_filter_2(X225,sK124)
      | ~ l3_lattices(sK124)
      | ~ v10_lattices(sK124) ),
    inference(resolution,[],[f8821,f10810]) ).

fof(f10810,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f4011]) ).

fof(f4011,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f4010]) ).

fof(f4010,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2873]) ).

fof(f2873,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',dt_m2_filter_2) ).

fof(f26315,plain,
    m2_filter_2(k19_filter_2(sK124,sK125),sK124),
    inference(subsumption_resolution,[],[f26314,f8821]) ).

fof(f26314,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f26313,f8822]) ).

fof(f26313,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f26312,f8823]) ).

fof(f26312,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f25276,f8824]) ).

fof(f8824,plain,
    ~ v1_xboole_0(sK125),
    inference(cnf_transformation,[],[f6445]) ).

fof(f25276,plain,
    ( m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | v1_xboole_0(sK125)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(resolution,[],[f8825,f12082]) ).

fof(f8825,plain,
    m1_subset_1(sK125,k1_zfmisc_1(u1_struct_0(sK124))),
    inference(cnf_transformation,[],[f6445]) ).

fof(f387210,plain,
    spl1263_807,
    inference(avatar_contradiction_clause,[],[f387209]) ).

fof(f387209,plain,
    ( $false
    | spl1263_807 ),
    inference(subsumption_resolution,[],[f387208,f8821]) ).

fof(f387208,plain,
    ( v3_struct_0(sK124)
    | spl1263_807 ),
    inference(subsumption_resolution,[],[f387207,f8822]) ).

fof(f387207,plain,
    ( ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_807 ),
    inference(subsumption_resolution,[],[f387206,f8823]) ).

fof(f387206,plain,
    ( ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_807 ),
    inference(subsumption_resolution,[],[f387192,f205368]) ).

fof(f205368,plain,
    m2_lattice4(k19_filter_2(sK124,sK125),sK124),
    inference(subsumption_resolution,[],[f205367,f8821]) ).

fof(f205367,plain,
    ( m2_lattice4(k19_filter_2(sK124,sK125),sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f205366,f8822]) ).

fof(f205366,plain,
    ( m2_lattice4(k19_filter_2(sK124,sK125),sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(subsumption_resolution,[],[f205335,f8823]) ).

fof(f205335,plain,
    ( m2_lattice4(k19_filter_2(sK124,sK125),sK124)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124) ),
    inference(resolution,[],[f26315,f10811]) ).

fof(f10811,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f4011]) ).

fof(f387192,plain,
    ( ~ m2_lattice4(k19_filter_2(sK124,sK125),sK124)
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_807 ),
    inference(resolution,[],[f31311,f10823]) ).

fof(f10823,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f4021]) ).

fof(f4021,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f4020]) ).

fof(f4020,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2857]) ).

fof(f2857,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',dt_m2_lattice4) ).

fof(f31311,plain,
    ( ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | spl1263_807 ),
    inference(avatar_component_clause,[],[f31310]) ).

fof(f31310,plain,
    ( spl1263_807
  <=> m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1263_807])]) ).

fof(f31312,plain,
    ( spl1263_806
    | ~ spl1263_807
    | spl1263_2 ),
    inference(avatar_split_clause,[],[f31305,f17563,f31310,f31307]) ).

fof(f17563,plain,
    ( spl1263_2
  <=> r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1263_2])]) ).

fof(f31305,plain,
    ( ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31304,f19632]) ).

fof(f19632,plain,
    ! [X555] :
      ( m2_filter_2(k19_filter_2(sK124,X555),sK124)
      | ~ m1_subset_1(X555,k1_zfmisc_1(u1_struct_0(sK124)))
      | v1_xboole_0(X555) ),
    inference(subsumption_resolution,[],[f19631,f8822]) ).

fof(f19631,plain,
    ! [X555] :
      ( m2_filter_2(k19_filter_2(sK124,X555),sK124)
      | ~ m1_subset_1(X555,k1_zfmisc_1(u1_struct_0(sK124)))
      | v1_xboole_0(X555)
      | ~ v10_lattices(sK124) ),
    inference(subsumption_resolution,[],[f17986,f8823]) ).

fof(f17986,plain,
    ! [X555] :
      ( m2_filter_2(k19_filter_2(sK124,X555),sK124)
      | ~ m1_subset_1(X555,k1_zfmisc_1(u1_struct_0(sK124)))
      | v1_xboole_0(X555)
      | ~ l3_lattices(sK124)
      | ~ v10_lattices(sK124) ),
    inference(resolution,[],[f8821,f12082]) ).

fof(f31304,plain,
    ( ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31303,f8821]) ).

fof(f31303,plain,
    ( ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | v3_struct_0(sK124)
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31302,f8822]) ).

fof(f31302,plain,
    ( ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31301,f8823]) ).

fof(f31301,plain,
    ( ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31300,f26315]) ).

fof(f31300,plain,
    ( ~ m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_2 ),
    inference(subsumption_resolution,[],[f31258,f14566]) ).

fof(f14566,plain,
    ! [X1] : r1_tarski(X1,X1),
    inference(equality_resolution,[],[f12392]) ).

fof(f12392,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f8172]) ).

fof(f8172,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X1,X0)
        | ~ r1_tarski(X0,X1) )
      & ( ( r1_tarski(X1,X0)
          & r1_tarski(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f8171]) ).

fof(f8171,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ r1_tarski(X1,X0)
        | ~ r1_tarski(X0,X1) )
      & ( ( r1_tarski(X1,X0)
          & r1_tarski(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( r1_tarski(X1,X0)
        & r1_tarski(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630',d10_xboole_0) ).

fof(f31258,plain,
    ( ~ r1_tarski(k19_filter_2(sK124,sK125),k19_filter_2(sK124,sK125))
    | ~ m2_filter_2(k19_filter_2(sK124,sK125),sK124)
    | ~ m2_filter_2(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),sK124)
    | ~ m1_subset_1(k19_filter_2(sK124,sK125),k1_zfmisc_1(u1_struct_0(sK124)))
    | v1_xboole_0(k19_filter_2(sK124,sK125))
    | ~ l3_lattices(sK124)
    | ~ v10_lattices(sK124)
    | v3_struct_0(sK124)
    | spl1263_2 ),
    inference(resolution,[],[f17564,f14438]) ).

fof(f17564,plain,
    ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
    | spl1263_2 ),
    inference(avatar_component_clause,[],[f17563]) ).

fof(f17569,plain,
    ( spl1263_3
    | ~ spl1263_2 ),
    inference(avatar_split_clause,[],[f8830,f17563,f17567]) ).

fof(f8830,plain,
    ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
    | r1_tarski(sK126,sK127) ),
    inference(cnf_transformation,[],[f6445]) ).

fof(f17565,plain,
    ( ~ spl1263_1
    | ~ spl1263_2 ),
    inference(avatar_split_clause,[],[f8831,f17563,f17560]) ).

fof(f8831,plain,
    ( ~ r1_tarski(k19_filter_2(sK124,k19_filter_2(sK124,sK125)),k19_filter_2(sK124,sK125))
    | ~ r1_tarski(k19_filter_2(sK124,sK126),k19_filter_2(sK124,sK127)) ),
    inference(cnf_transformation,[],[f6445]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.30  % Problem    : LAT310+2 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.31  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.31/0.52  % Computer : n004.cluster.edu
% 0.31/0.52  % Model    : x86_64 x86_64
% 0.31/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.31/0.52  % Memory   : 8042.1875MB
% 0.31/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.31/0.52  % CPULimit   : 300
% 0.31/0.52  % WCLimit    : 300
% 0.31/0.52  % DateTime   : Thu Aug 24 10:06:53 EDT 2023
% 0.31/0.52  % CPUTime    : 
% 0.31/0.52  This is a FOF_THM_RFO_SEQ problem
% 0.31/0.52  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4L3hSgeTGy/Vampire---4.8_28630
% 0.31/0.53  % (28738)Running in auto input_syntax mode. Trying TPTP
% 0.39/0.67  % (28745)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.39/0.69  % (28739)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.39/0.69  % (28742)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.39/0.69  % (28741)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.39/0.69  % (28743)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.39/0.69  % (28744)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.39/0.70  % (28740)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 151.49/22.41  % (28742)First to succeed.
% 151.49/22.46  % (28742)Refutation found. Thanks to Tanya!
% 151.49/22.46  % SZS status Theorem for Vampire---4
% 151.49/22.46  % SZS output start Proof for Vampire---4
% See solution above
% 151.49/22.46  % (28742)------------------------------
% 151.49/22.46  % (28742)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 151.49/22.46  % (28742)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 151.49/22.46  % (28742)Termination reason: Refutation
% 151.49/22.46  
% 151.49/22.46  % (28742)Memory used [KB]: 383533
% 151.49/22.46  % (28742)Time elapsed: 21.748 s
% 151.49/22.46  % (28742)------------------------------
% 151.49/22.46  % (28742)------------------------------
% 151.49/22.46  % (28738)Success in time 21.791 s
% 151.49/22.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------