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 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 : Sun May  5 07:23:28 EDT 2024

% Result   : Theorem 1.59s 1.05s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  306 (  31 unt;   0 def)
%            Number of atoms       : 1295 (  95 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives : 1599 ( 610   ~; 750   |; 173   &)
%                                         (  26 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  22 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   5 con; 0-3 aty)
%            Number of variables   :  267 ( 227   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7721,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3421,f3426,f3622,f3806,f3827,f3856,f4009,f4276,f4297,f4312,f4319,f4363,f5792,f5809,f5833,f5895,f6412,f6470,f6496,f7667,f7708,f7719]) ).

fof(f7719,plain,
    ( ~ spl37_3
    | spl37_216
    | ~ spl37_218 ),
    inference(avatar_contradiction_clause,[],[f7715]) ).

fof(f7715,plain,
    ( $false
    | ~ spl37_3
    | spl37_216
    | ~ spl37_218 ),
    inference(unit_resulting_resolution,[],[f3425,f7281,f7713,f3237]) ).

fof(f3237,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f3005]) ).

fof(f3005,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(flattening,[],[f3004]) ).

fof(f3004,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/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t1_xboole_1) ).

fof(f7713,plain,
    ( ~ r1_tarski(sK3,k3_filter_2(k1_lattice2(sK1),sK4))
    | spl37_216
    | ~ spl37_218 ),
    inference(forward_demodulation,[],[f6411,f6469]) ).

fof(f6469,plain,
    ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
    | ~ spl37_218 ),
    inference(avatar_component_clause,[],[f6467]) ).

fof(f6467,plain,
    ( spl37_218
  <=> k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_218])]) ).

fof(f6411,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | spl37_216 ),
    inference(avatar_component_clause,[],[f6409]) ).

fof(f6409,plain,
    ( spl37_216
  <=> r1_tarski(sK3,k19_filter_2(sK1,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_216])]) ).

fof(f7281,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7280,f3212]) ).

fof(f3212,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f3119]) ).

fof(f3119,plain,
    ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
      | ( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4))
        & r1_tarski(sK3,sK4) ) )
    & m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
    & ~ v1_xboole_0(sK4)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    & ~ v1_xboole_0(sK3)
    & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
    & ~ v1_xboole_0(sK2)
    & l3_lattices(sK1)
    & v10_lattices(sK1)
    & ~ v3_struct_0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f2984,f3118,f3117,f3116,f3115]) ).

fof(f3115,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(sK1,k19_filter_2(sK1,X1)),k19_filter_2(sK1,X1))
                    | ( ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(sK1)
      & v10_lattices(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f3116,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,X1)),k19_filter_2(sK1,X1))
                  | ( ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3))
                    & r1_tarski(X2,X3) ) )
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
                & ~ v1_xboole_0(X3) )
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
            & ~ v1_xboole_0(X2) )
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
        & ~ v1_xboole_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
                | ( ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3))
                  & r1_tarski(X2,X3) ) )
              & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
              & ~ v1_xboole_0(X3) )
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
          & ~ v1_xboole_0(X2) )
      & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
      & ~ v1_xboole_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f3117,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
              | ( ~ r1_tarski(k19_filter_2(sK1,X2),k19_filter_2(sK1,X3))
                & r1_tarski(X2,X3) ) )
            & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
            & ~ v1_xboole_0(X3) )
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
        & ~ v1_xboole_0(X2) )
   => ( ? [X3] :
          ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
            | ( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,X3))
              & r1_tarski(sK3,X3) ) )
          & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
          & ~ v1_xboole_0(X3) )
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
      & ~ v1_xboole_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f3118,plain,
    ( ? [X3] :
        ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
          | ( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,X3))
            & r1_tarski(sK3,X3) ) )
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK1)))
        & ~ v1_xboole_0(X3) )
   => ( ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
        | ( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4))
          & r1_tarski(sK3,sK4) ) )
      & m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
      & ~ v1_xboole_0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f2984,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,[],[f2983]) ).

fof(f2983,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/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t39_filter_2) ).

fof(f7280,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7279,f3213]) ).

fof(f3213,plain,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7279,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7278,f3214]) ).

fof(f3214,plain,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7278,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7277,f3219]) ).

fof(f3219,plain,
    ~ v1_xboole_0(sK4),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7277,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | v1_xboole_0(sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7276,f3220]) ).

fof(f3220,plain,
    m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7276,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7257,f7275]) ).

fof(f7275,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7274,f3212]) ).

fof(f7274,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7273,f3213]) ).

fof(f7273,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7272,f3214]) ).

fof(f7272,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7271,f3219]) ).

fof(f7271,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | v1_xboole_0(sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7256,f3220]) ).

fof(f7256,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(superposition,[],[f3304,f6469]) ).

fof(f3304,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,[],[f3038]) ).

fof(f3038,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,[],[f3037]) ).

fof(f3037,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/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',dt_k19_filter_2) ).

fof(f7257,plain,
    ( r1_tarski(sK4,k3_filter_2(k1_lattice2(sK1),sK4))
    | ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_218 ),
    inference(superposition,[],[f3401,f6469]) ).

fof(f3401,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,[],[f3299]) ).

fof(f3299,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,[],[f3166]) ).

fof(f3166,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ( ~ r1_tarski(X2,sK21(X0,X1,X2))
                    & r1_tarski(X1,sK21(X0,X1,X2))
                    & m2_filter_2(sK21(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,[sK21])],[f3164,f3165]) ).

fof(f3165,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ r1_tarski(X2,X3)
          & r1_tarski(X1,X3)
          & m2_filter_2(X3,X0) )
     => ( ~ r1_tarski(X2,sK21(X0,X1,X2))
        & r1_tarski(X1,sK21(X0,X1,X2))
        & m2_filter_2(sK21(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f3164,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,[],[f3163]) ).

fof(f3163,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,[],[f3162]) ).

fof(f3162,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,[],[f3036]) ).

fof(f3036,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,[],[f3035]) ).

fof(f3035,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/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',d11_filter_2) ).

fof(f3425,plain,
    ( r1_tarski(sK3,sK4)
    | ~ spl37_3 ),
    inference(avatar_component_clause,[],[f3423]) ).

fof(f3423,plain,
    ( spl37_3
  <=> r1_tarski(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_3])]) ).

fof(f7708,plain,
    ( spl37_215
    | ~ spl37_218 ),
    inference(avatar_contradiction_clause,[],[f7707]) ).

fof(f7707,plain,
    ( $false
    | spl37_215
    | ~ spl37_218 ),
    inference(subsumption_resolution,[],[f7706,f7275]) ).

fof(f7706,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK4),sK1)
    | spl37_215
    | ~ spl37_218 ),
    inference(forward_demodulation,[],[f6407,f6469]) ).

fof(f6407,plain,
    ( ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | spl37_215 ),
    inference(avatar_component_clause,[],[f6405]) ).

fof(f6405,plain,
    ( spl37_215
  <=> m2_filter_2(k19_filter_2(sK1,sK4),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_215])]) ).

fof(f7667,plain,
    ( spl37_199
    | ~ spl37_219 ),
    inference(avatar_contradiction_clause,[],[f7666]) ).

fof(f7666,plain,
    ( $false
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7665,f3212]) ).

fof(f7665,plain,
    ( v3_struct_0(sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7664,f3213]) ).

fof(f7664,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7663,f3214]) ).

fof(f7663,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7662,f3217]) ).

fof(f3217,plain,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7662,plain,
    ( v1_xboole_0(sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7661,f3218]) ).

fof(f3218,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f3119]) ).

fof(f7661,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(subsumption_resolution,[],[f7646,f6533]) ).

fof(f6533,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK3),sK1)
    | spl37_199
    | ~ spl37_219 ),
    inference(forward_demodulation,[],[f6148,f6495]) ).

fof(f6495,plain,
    ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
    | ~ spl37_219 ),
    inference(avatar_component_clause,[],[f6493]) ).

fof(f6493,plain,
    ( spl37_219
  <=> k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_219])]) ).

fof(f6148,plain,
    ( ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | spl37_199 ),
    inference(avatar_component_clause,[],[f6146]) ).

fof(f6146,plain,
    ( spl37_199
  <=> m2_filter_2(k19_filter_2(sK1,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_199])]) ).

fof(f7646,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK3),sK1)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_219 ),
    inference(superposition,[],[f3304,f6495]) ).

fof(f6496,plain,
    ( spl37_77
    | spl37_219 ),
    inference(avatar_split_clause,[],[f6491,f6493,f4384]) ).

fof(f4384,plain,
    ( spl37_77
  <=> ! [X0] :
        ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
        | v1_xboole_0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_77])]) ).

fof(f6491,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0) ),
    inference(subsumption_resolution,[],[f6490,f3212]) ).

fof(f6490,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6489,f3213]) ).

fof(f6489,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6488,f3214]) ).

fof(f6488,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6487,f3217]) ).

fof(f6487,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | v1_xboole_0(sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4428,f3703]) ).

fof(f3703,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))),
    inference(subsumption_resolution,[],[f3702,f3212]) ).

fof(f3702,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3701,f3213]) ).

fof(f3701,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3700,f3214]) ).

fof(f3700,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3698,f3218]) ).

fof(f3698,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[],[f3383,f3493]) ).

fof(f3493,plain,
    sK3 = k7_filter_2(sK1,sK3),
    inference(subsumption_resolution,[],[f3492,f3212]) ).

fof(f3492,plain,
    ( sK3 = k7_filter_2(sK1,sK3)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3491,f3213]) ).

fof(f3491,plain,
    ( sK3 = k7_filter_2(sK1,sK3)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3482,f3214]) ).

fof(f3482,plain,
    ( sK3 = k7_filter_2(sK1,sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f3218,f3381]) ).

fof(f3381,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | k7_filter_2(X0,X1) = X1
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3093]) ).

fof(f3093,plain,
    ! [X0] :
      ( ! [X1] :
          ( k7_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3092]) ).

fof(f3092,plain,
    ! [X0] :
      ( ! [X1] :
          ( k7_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2942]) ).

fof(f2942,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => k7_filter_2(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',d6_filter_2) ).

fof(f3383,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3097]) ).

fof(f3097,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3096]) ).

fof(f3096,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2888]) ).

fof(f2888,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',dt_k7_filter_2) ).

fof(f4428,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
      | v1_xboole_0(sK3)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(superposition,[],[f3296,f4216]) ).

fof(f4216,plain,
    sK3 = k8_filter_2(sK1,sK3),
    inference(subsumption_resolution,[],[f4215,f3212]) ).

fof(f4215,plain,
    ( sK3 = k8_filter_2(sK1,sK3)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4214,f3213]) ).

fof(f4214,plain,
    ( sK3 = k8_filter_2(sK1,sK3)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4201,f3214]) ).

fof(f4201,plain,
    ( sK3 = k8_filter_2(sK1,sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f3703,f3385]) ).

fof(f3385,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
      | k8_filter_2(X0,X1) = X1
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3101]) ).

fof(f3101,plain,
    ! [X0] :
      ( ! [X1] :
          ( k8_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3100]) ).

fof(f3100,plain,
    ! [X0] :
      ( ! [X1] :
          ( k8_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2943]) ).

fof(f2943,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
         => k8_filter_2(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',d7_filter_2) ).

fof(f3296,plain,
    ! [X2,X0,X1] :
      ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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(cnf_transformation,[],[f3032]) ).

fof(f3032,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f3031]) ).

fof(f3031,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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,[],[f2966]) ).

fof(f2966,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] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
                & ~ v1_xboole_0(X2) )
             => ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t37_filter_2) ).

fof(f6470,plain,
    ( spl37_77
    | spl37_218 ),
    inference(avatar_split_clause,[],[f6465,f6467,f4384]) ).

fof(f6465,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0) ),
    inference(subsumption_resolution,[],[f6464,f3212]) ).

fof(f6464,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6463,f3213]) ).

fof(f6463,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6462,f3214]) ).

fof(f6462,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f6461,f3219]) ).

fof(f6461,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | v1_xboole_0(sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4468,f3718]) ).

fof(f3718,plain,
    m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))),
    inference(subsumption_resolution,[],[f3717,f3212]) ).

fof(f3717,plain,
    ( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3716,f3213]) ).

fof(f3716,plain,
    ( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3715,f3214]) ).

fof(f3715,plain,
    ( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3713,f3220]) ).

fof(f3713,plain,
    ( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK1)))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[],[f3383,f3540]) ).

fof(f3540,plain,
    sK4 = k7_filter_2(sK1,sK4),
    inference(subsumption_resolution,[],[f3539,f3212]) ).

fof(f3539,plain,
    ( sK4 = k7_filter_2(sK1,sK4)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3538,f3213]) ).

fof(f3538,plain,
    ( sK4 = k7_filter_2(sK1,sK4)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3529,f3214]) ).

fof(f3529,plain,
    ( sK4 = k7_filter_2(sK1,sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f3220,f3381]) ).

fof(f4468,plain,
    ! [X0] :
      ( k19_filter_2(sK1,sK4) = k3_filter_2(k1_lattice2(sK1),sK4)
      | ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
      | v1_xboole_0(sK4)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
      | v1_xboole_0(X0)
      | ~ l3_lattices(sK1)
      | ~ v10_lattices(sK1)
      | v3_struct_0(sK1) ),
    inference(superposition,[],[f3296,f4241]) ).

fof(f4241,plain,
    sK4 = k8_filter_2(sK1,sK4),
    inference(subsumption_resolution,[],[f4240,f3212]) ).

fof(f4240,plain,
    ( sK4 = k8_filter_2(sK1,sK4)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4239,f3213]) ).

fof(f4239,plain,
    ( sK4 = k8_filter_2(sK1,sK4)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4226,f3214]) ).

fof(f4226,plain,
    ( sK4 = k8_filter_2(sK1,sK4)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f3718,f3385]) ).

fof(f6412,plain,
    ( ~ spl37_199
    | ~ spl37_215
    | ~ spl37_216
    | spl37_1 ),
    inference(avatar_split_clause,[],[f6403,f3414,f6409,f6405,f6146]) ).

fof(f3414,plain,
    ( spl37_1
  <=> r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_1])]) ).

fof(f6403,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f6402,f3212]) ).

fof(f6402,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | v3_struct_0(sK1)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f6401,f3213]) ).

fof(f6401,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f6400,f3214]) ).

fof(f6400,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f6399,f3217]) ).

fof(f6399,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f4721,f3218]) ).

fof(f4721,plain,
    ( ~ r1_tarski(sK3,k19_filter_2(sK1,sK4))
    | ~ m2_filter_2(k19_filter_2(sK1,sK4),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK3),sK1)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_1 ),
    inference(resolution,[],[f3416,f3400]) ).

fof(f3400,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,[],[f3300]) ).

fof(f3300,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,[],[f3166]) ).

fof(f3416,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4))
    | spl37_1 ),
    inference(avatar_component_clause,[],[f3414]) ).

fof(f5895,plain,
    ~ spl37_77,
    inference(avatar_contradiction_clause,[],[f5894]) ).

fof(f5894,plain,
    ( $false
    | ~ spl37_77 ),
    inference(subsumption_resolution,[],[f5868,f3219]) ).

fof(f5868,plain,
    ( v1_xboole_0(sK4)
    | ~ spl37_77 ),
    inference(resolution,[],[f4385,f3220]) ).

fof(f4385,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
        | v1_xboole_0(X0) )
    | ~ spl37_77 ),
    inference(avatar_component_clause,[],[f4384]) ).

fof(f5833,plain,
    ( spl37_43
    | ~ spl37_44
    | spl37_46 ),
    inference(avatar_contradiction_clause,[],[f5830]) ).

fof(f5830,plain,
    ( $false
    | spl37_43
    | ~ spl37_44
    | spl37_46 ),
    inference(unit_resulting_resolution,[],[f3212,f3213,f3214,f3851,f3837,f3833,f3304]) ).

fof(f3833,plain,
    ( ~ v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | spl37_43 ),
    inference(avatar_component_clause,[],[f3832]) ).

fof(f3832,plain,
    ( spl37_43
  <=> v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_43])]) ).

fof(f3837,plain,
    ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | ~ spl37_44 ),
    inference(avatar_component_clause,[],[f3836]) ).

fof(f3836,plain,
    ( spl37_44
  <=> m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_44])]) ).

fof(f3851,plain,
    ( ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | spl37_46 ),
    inference(avatar_component_clause,[],[f3849]) ).

fof(f3849,plain,
    ( spl37_46
  <=> m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_46])]) ).

fof(f5809,plain,
    ( ~ spl37_43
    | spl37_172 ),
    inference(avatar_contradiction_clause,[],[f5803]) ).

fof(f5803,plain,
    ( $false
    | ~ spl37_43
    | spl37_172 ),
    inference(unit_resulting_resolution,[],[f3336,f3834,f5740,f3259]) ).

fof(f3259,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ v1_xboole_0(X1)
      | ~ v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f3012]) ).

fof(f3012,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | X0 = X1
      | ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ~ ( v1_xboole_0(X1)
        & X0 != X1
        & v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t8_boole) ).

fof(f5740,plain,
    ( k1_xboole_0 != k3_filter_2(k1_lattice2(sK1),sK2)
    | spl37_172 ),
    inference(avatar_component_clause,[],[f5739]) ).

fof(f5739,plain,
    ( spl37_172
  <=> k1_xboole_0 = k3_filter_2(k1_lattice2(sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_172])]) ).

fof(f3834,plain,
    ( v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | ~ spl37_43 ),
    inference(avatar_component_clause,[],[f3832]) ).

fof(f3336,plain,
    v1_xboole_0(k1_xboole_0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',fc1_xboole_0) ).

fof(f5792,plain,
    ( ~ spl37_47
    | ~ spl37_172 ),
    inference(avatar_contradiction_clause,[],[f5789]) ).

fof(f5789,plain,
    ( $false
    | ~ spl37_47
    | ~ spl37_172 ),
    inference(unit_resulting_resolution,[],[f3212,f3213,f3214,f3403,f5776,f3339]) ).

fof(f3339,plain,
    ! [X0,X1] :
      ( r2_hidden(sK27(X0,X1),X1)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3182]) ).

fof(f3182,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r2_hidden(sK27(X0,X1),X1)
            & m1_subset_1(sK27(X0,X1),u1_struct_0(X0)) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f3064,f3181]) ).

fof(f3181,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( r2_hidden(X2,X1)
          & m1_subset_1(X2,u1_struct_0(X0)) )
     => ( r2_hidden(sK27(X0,X1),X1)
        & m1_subset_1(sK27(X0,X1),u1_struct_0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3064,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( r2_hidden(X2,X1)
              & m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3063]) ).

fof(f3063,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( r2_hidden(X2,X1)
              & m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2948]) ).

fof(f2948,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ? [X2] :
              ( r2_hidden(X2,X1)
              & m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t24_filter_2) ).

fof(f5776,plain,
    ( m2_filter_2(k1_xboole_0,sK1)
    | ~ spl37_47
    | ~ spl37_172 ),
    inference(superposition,[],[f3854,f5741]) ).

fof(f5741,plain,
    ( k1_xboole_0 = k3_filter_2(k1_lattice2(sK1),sK2)
    | ~ spl37_172 ),
    inference(avatar_component_clause,[],[f5739]) ).

fof(f3854,plain,
    ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ spl37_47 ),
    inference(avatar_component_clause,[],[f3853]) ).

fof(f3853,plain,
    ( spl37_47
  <=> m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_47])]) ).

fof(f3403,plain,
    ! [X2] : ~ r2_hidden(X2,k1_xboole_0),
    inference(equality_resolution,[],[f3334]) ).

fof(f3334,plain,
    ! [X2,X0] :
      ( ~ r2_hidden(X2,X0)
      | k1_xboole_0 != X0 ),
    inference(cnf_transformation,[],[f3180]) ).

fof(f3180,plain,
    ! [X0] :
      ( ( k1_xboole_0 = X0
        | r2_hidden(sK26(X0),X0) )
      & ( ! [X2] : ~ r2_hidden(X2,X0)
        | k1_xboole_0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f3178,f3179]) ).

fof(f3179,plain,
    ! [X0] :
      ( ? [X1] : r2_hidden(X1,X0)
     => r2_hidden(sK26(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f3178,plain,
    ! [X0] :
      ( ( k1_xboole_0 = X0
        | ? [X1] : r2_hidden(X1,X0) )
      & ( ! [X2] : ~ r2_hidden(X2,X0)
        | k1_xboole_0 != X0 ) ),
    inference(rectify,[],[f3177]) ).

fof(f3177,plain,
    ! [X0] :
      ( ( k1_xboole_0 = X0
        | ? [X1] : r2_hidden(X1,X0) )
      & ( ! [X1] : ~ r2_hidden(X1,X0)
        | k1_xboole_0 != X0 ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( k1_xboole_0 = X0
    <=> ! [X1] : ~ r2_hidden(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',d1_xboole_0) ).

fof(f4363,plain,
    ( spl37_22
    | spl37_44
    | ~ spl37_19 ),
    inference(avatar_split_clause,[],[f4360,f3589,f3836,f3605]) ).

fof(f3605,plain,
    ( spl37_22
  <=> ! [X0] :
        ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_22])]) ).

fof(f3589,plain,
    ( spl37_19
  <=> m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_19])]) ).

fof(f4360,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | ~ spl37_19 ),
    inference(forward_demodulation,[],[f4359,f3438]) ).

fof(f3438,plain,
    sK2 = k7_filter_2(sK1,sK2),
    inference(subsumption_resolution,[],[f3437,f3212]) ).

fof(f3437,plain,
    ( sK2 = k7_filter_2(sK1,sK2)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3436,f3213]) ).

fof(f3436,plain,
    ( sK2 = k7_filter_2(sK1,sK2)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3427,f3214]) ).

fof(f3427,plain,
    ( sK2 = k7_filter_2(sK1,sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(resolution,[],[f3216,f3381]) ).

fof(f3216,plain,
    m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f3119]) ).

fof(f4359,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | ~ spl37_19 ),
    inference(subsumption_resolution,[],[f4358,f3212]) ).

fof(f4358,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v3_struct_0(sK1) )
    | ~ spl37_19 ),
    inference(subsumption_resolution,[],[f4357,f3213]) ).

fof(f4357,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_19 ),
    inference(subsumption_resolution,[],[f4356,f3214]) ).

fof(f4356,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_19 ),
    inference(subsumption_resolution,[],[f4355,f3215]) ).

fof(f3215,plain,
    ~ v1_xboole_0(sK2),
    inference(cnf_transformation,[],[f3119]) ).

fof(f4355,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_19 ),
    inference(subsumption_resolution,[],[f4351,f3216]) ).

fof(f4351,plain,
    ( ! [X0] :
        ( m1_subset_1(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK1)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_19 ),
    inference(superposition,[],[f3590,f3293]) ).

fof(f3293,plain,
    ! [X2,X0,X1] :
      ( k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(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(cnf_transformation,[],[f3032]) ).

fof(f3590,plain,
    ( m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | ~ spl37_19 ),
    inference(avatar_component_clause,[],[f3589]) ).

fof(f4319,plain,
    spl37_73,
    inference(avatar_contradiction_clause,[],[f4318]) ).

fof(f4318,plain,
    ( $false
    | spl37_73 ),
    inference(subsumption_resolution,[],[f4317,f3212]) ).

fof(f4317,plain,
    ( v3_struct_0(sK1)
    | spl37_73 ),
    inference(subsumption_resolution,[],[f4316,f3213]) ).

fof(f4316,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_73 ),
    inference(subsumption_resolution,[],[f4314,f3214]) ).

fof(f4314,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_73 ),
    inference(resolution,[],[f4275,f3337]) ).

fof(f3337,plain,
    ! [X0] :
      ( m2_filter_2(u1_struct_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3062]) ).

fof(f3062,plain,
    ! [X0] :
      ( m2_filter_2(u1_struct_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3061]) ).

fof(f3061,plain,
    ! [X0] :
      ( m2_filter_2(u1_struct_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2952]) ).

fof(f2952,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(u1_struct_0(X0),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t28_filter_2) ).

fof(f4275,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | spl37_73 ),
    inference(avatar_component_clause,[],[f4273]) ).

fof(f4273,plain,
    ( spl37_73
  <=> m2_filter_2(u1_struct_0(sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_73])]) ).

fof(f4312,plain,
    ( spl37_22
    | spl37_47
    | ~ spl37_21 ),
    inference(avatar_split_clause,[],[f4311,f3597,f3853,f3605]) ).

fof(f3597,plain,
    ( spl37_21
  <=> m2_filter_2(k19_filter_2(sK1,sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_21])]) ).

fof(f4311,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | ~ spl37_21 ),
    inference(forward_demodulation,[],[f4310,f3438]) ).

fof(f4310,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | ~ spl37_21 ),
    inference(subsumption_resolution,[],[f4309,f3212]) ).

fof(f4309,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v3_struct_0(sK1) )
    | ~ spl37_21 ),
    inference(subsumption_resolution,[],[f4308,f3213]) ).

fof(f4308,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_21 ),
    inference(subsumption_resolution,[],[f4307,f3214]) ).

fof(f4307,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_21 ),
    inference(subsumption_resolution,[],[f4306,f3215]) ).

fof(f4306,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_21 ),
    inference(subsumption_resolution,[],[f4305,f3216]) ).

fof(f4305,plain,
    ( ! [X0] :
        ( m2_filter_2(k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)),sK1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | ~ spl37_21 ),
    inference(superposition,[],[f3598,f3293]) ).

fof(f3598,plain,
    ( m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | ~ spl37_21 ),
    inference(avatar_component_clause,[],[f3597]) ).

fof(f4297,plain,
    spl37_21,
    inference(avatar_contradiction_clause,[],[f4296]) ).

fof(f4296,plain,
    ( $false
    | spl37_21 ),
    inference(subsumption_resolution,[],[f4295,f3212]) ).

fof(f4295,plain,
    ( v3_struct_0(sK1)
    | spl37_21 ),
    inference(subsumption_resolution,[],[f4294,f3213]) ).

fof(f4294,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_21 ),
    inference(subsumption_resolution,[],[f4293,f3214]) ).

fof(f4293,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_21 ),
    inference(subsumption_resolution,[],[f4292,f3215]) ).

fof(f4292,plain,
    ( v1_xboole_0(sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_21 ),
    inference(subsumption_resolution,[],[f4289,f3216]) ).

fof(f4289,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_21 ),
    inference(resolution,[],[f3599,f3304]) ).

fof(f3599,plain,
    ( ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | spl37_21 ),
    inference(avatar_component_clause,[],[f3597]) ).

fof(f4276,plain,
    ( ~ spl37_21
    | ~ spl37_73
    | spl37_19 ),
    inference(avatar_split_clause,[],[f4271,f3589,f4273,f3597]) ).

fof(f4271,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4270,f3212]) ).

fof(f4270,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4269,f3213]) ).

fof(f4269,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4268,f3214]) ).

fof(f4268,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4267,f3215]) ).

fof(f4267,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4266,f3216]) ).

fof(f4266,plain,
    ( ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(subsumption_resolution,[],[f4263,f3432]) ).

fof(f3432,plain,
    r1_tarski(sK2,u1_struct_0(sK1)),
    inference(resolution,[],[f3216,f3266]) ).

fof(f3266,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
      | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f3139]) ).

fof(f3139,plain,
    ! [X0,X1] :
      ( ( m1_subset_1(X0,k1_zfmisc_1(X1))
        | ~ r1_tarski(X0,X1) )
      & ( r1_tarski(X0,X1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
    inference(nnf_transformation,[],[f583]) ).

fof(f583,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
    <=> r1_tarski(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t3_subset) ).

fof(f4263,plain,
    ( ~ r1_tarski(sK2,u1_struct_0(sK1))
    | ~ m2_filter_2(u1_struct_0(sK1),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,sK2),sK1)
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_19 ),
    inference(resolution,[],[f3739,f3400]) ).

fof(f3739,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,sK2),u1_struct_0(sK1))
    | spl37_19 ),
    inference(resolution,[],[f3591,f3267]) ).

fof(f3267,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f3139]) ).

fof(f3591,plain,
    ( ~ m1_subset_1(k19_filter_2(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | spl37_19 ),
    inference(avatar_component_clause,[],[f3589]) ).

fof(f4009,plain,
    ~ spl37_42,
    inference(avatar_contradiction_clause,[],[f3983]) ).

fof(f3983,plain,
    ( $false
    | ~ spl37_42 ),
    inference(unit_resulting_resolution,[],[f3263,f3217,f3826,f3254]) ).

fof(f3254,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f3010]) ).

fof(f3010,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f3009]) ).

fof(f3009,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f582]) ).

fof(f582,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t2_subset) ).

fof(f3826,plain,
    ( ! [X0] : ~ r2_hidden(X0,sK3)
    | ~ spl37_42 ),
    inference(avatar_component_clause,[],[f3825]) ).

fof(f3825,plain,
    ( spl37_42
  <=> ! [X0] : ~ r2_hidden(X0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_42])]) ).

fof(f3263,plain,
    ! [X0] : m1_subset_1(sK11(X0),X0),
    inference(cnf_transformation,[],[f3138]) ).

fof(f3138,plain,
    ! [X0] : m1_subset_1(sK11(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f553,f3137]) ).

fof(f3137,plain,
    ! [X0] :
      ( ? [X1] : m1_subset_1(X1,X0)
     => m1_subset_1(sK11(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f553,axiom,
    ! [X0] :
    ? [X1] : m1_subset_1(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',existence_m1_subset_1) ).

fof(f3856,plain,
    ( spl37_43
    | ~ spl37_44
    | ~ spl37_46
    | ~ spl37_47
    | spl37_24 ),
    inference(avatar_split_clause,[],[f3847,f3619,f3853,f3849,f3836,f3832]) ).

fof(f3619,plain,
    ( spl37_24
  <=> r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),k3_filter_2(k1_lattice2(sK1),sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_24])]) ).

fof(f3847,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | ~ m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | spl37_24 ),
    inference(subsumption_resolution,[],[f3846,f3212]) ).

fof(f3846,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | ~ m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | v3_struct_0(sK1)
    | spl37_24 ),
    inference(subsumption_resolution,[],[f3845,f3213]) ).

fof(f3845,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | ~ m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_24 ),
    inference(subsumption_resolution,[],[f3844,f3214]) ).

fof(f3844,plain,
    ( ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | ~ m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_24 ),
    inference(subsumption_resolution,[],[f3791,f3241]) ).

fof(f3241,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f2970]) ).

fof(f2970,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',reflexivity_r1_tarski) ).

fof(f3791,plain,
    ( ~ r1_tarski(k3_filter_2(k1_lattice2(sK1),sK2),k3_filter_2(k1_lattice2(sK1),sK2))
    | ~ m2_filter_2(k3_filter_2(k1_lattice2(sK1),sK2),sK1)
    | ~ m2_filter_2(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),sK1)
    | ~ m1_subset_1(k3_filter_2(k1_lattice2(sK1),sK2),k1_zfmisc_1(u1_struct_0(sK1)))
    | v1_xboole_0(k3_filter_2(k1_lattice2(sK1),sK2))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | spl37_24 ),
    inference(resolution,[],[f3621,f3400]) ).

fof(f3621,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),k3_filter_2(k1_lattice2(sK1),sK2))
    | spl37_24 ),
    inference(avatar_component_clause,[],[f3619]) ).

fof(f3827,plain,
    ( spl37_42
    | ~ spl37_9 ),
    inference(avatar_split_clause,[],[f3489,f3478,f3825]) ).

fof(f3478,plain,
    ( spl37_9
  <=> v1_xboole_0(u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_9])]) ).

fof(f3489,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(sK1))
      | ~ r2_hidden(X0,sK3) ),
    inference(resolution,[],[f3218,f3264]) ).

fof(f3264,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ v1_xboole_0(X2)
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f3014]) ).

fof(f3014,plain,
    ! [X0,X1,X2] :
      ( ~ v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f585]) ).

fof(f585,axiom,
    ! [X0,X1,X2] :
      ~ ( v1_xboole_0(X2)
        & m1_subset_1(X1,k1_zfmisc_1(X2))
        & r2_hidden(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t5_subset) ).

fof(f3806,plain,
    ( spl37_9
    | ~ spl37_22 ),
    inference(avatar_split_clause,[],[f3805,f3605,f3478]) ).

fof(f3805,plain,
    ( v1_xboole_0(u1_struct_0(sK1))
    | ~ spl37_22 ),
    inference(subsumption_resolution,[],[f3804,f3212]) ).

fof(f3804,plain,
    ( v1_xboole_0(u1_struct_0(sK1))
    | v3_struct_0(sK1)
    | ~ spl37_22 ),
    inference(subsumption_resolution,[],[f3798,f3214]) ).

fof(f3798,plain,
    ( v1_xboole_0(u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl37_22 ),
    inference(superposition,[],[f3784,f3391]) ).

fof(f3391,plain,
    ! [X0] :
      ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3112]) ).

fof(f3112,plain,
    ! [X0] :
      ( ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3111]) ).

fof(f3111,plain,
    ! [X0] :
      ( ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2597]) ).

fof(f2597,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',t18_lattice2) ).

fof(f3784,plain,
    ( v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
    | ~ spl37_22 ),
    inference(subsumption_resolution,[],[f3761,f3284]) ).

fof(f3284,plain,
    ! [X0] :
      ( ~ v1_xboole_0(sK18(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f3155]) ).

fof(f3155,plain,
    ! [X0] :
      ( ( ~ v1_xboole_0(sK18(X0))
        & m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f3027,f3154]) ).

fof(f3154,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ v1_xboole_0(X1)
          & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => ( ~ v1_xboole_0(sK18(X0))
        & m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3027,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ v1_xboole_0(X1)
          & m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f474]) ).

fof(f474,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ? [X1] :
          ( ~ v1_xboole_0(X1)
          & m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452',rc1_subset_1) ).

fof(f3761,plain,
    ( v1_xboole_0(sK18(u1_struct_0(k1_lattice2(sK1))))
    | v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
    | ~ spl37_22 ),
    inference(resolution,[],[f3606,f3283]) ).

fof(f3283,plain,
    ! [X0] :
      ( m1_subset_1(sK18(X0),k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f3155]) ).

fof(f3606,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | ~ spl37_22 ),
    inference(avatar_component_clause,[],[f3605]) ).

fof(f3622,plain,
    ( spl37_22
    | ~ spl37_24
    | spl37_2 ),
    inference(avatar_split_clause,[],[f3617,f3418,f3619,f3605]) ).

fof(f3418,plain,
    ( spl37_2
  <=> r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_2])]) ).

fof(f3617,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),sK2)),k3_filter_2(k1_lattice2(sK1),sK2))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | spl37_2 ),
    inference(forward_demodulation,[],[f3616,f3438]) ).

fof(f3616,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0) )
    | spl37_2 ),
    inference(subsumption_resolution,[],[f3615,f3212]) ).

fof(f3615,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v3_struct_0(sK1) )
    | spl37_2 ),
    inference(subsumption_resolution,[],[f3614,f3213]) ).

fof(f3614,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | spl37_2 ),
    inference(subsumption_resolution,[],[f3613,f3214]) ).

fof(f3613,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | spl37_2 ),
    inference(subsumption_resolution,[],[f3612,f3215]) ).

fof(f3612,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | spl37_2 ),
    inference(subsumption_resolution,[],[f3579,f3216]) ).

fof(f3579,plain,
    ( ! [X0] :
        ( ~ r1_tarski(k19_filter_2(sK1,k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2))),k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK2)))
        | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
        | v1_xboole_0(X0)
        | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
        | v1_xboole_0(sK2)
        | ~ l3_lattices(sK1)
        | ~ v10_lattices(sK1)
        | v3_struct_0(sK1) )
    | spl37_2 ),
    inference(superposition,[],[f3420,f3293]) ).

fof(f3420,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
    | spl37_2 ),
    inference(avatar_component_clause,[],[f3418]) ).

fof(f3426,plain,
    ( spl37_3
    | ~ spl37_2 ),
    inference(avatar_split_clause,[],[f3221,f3418,f3423]) ).

fof(f3221,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
    | r1_tarski(sK3,sK4) ),
    inference(cnf_transformation,[],[f3119]) ).

fof(f3421,plain,
    ( ~ spl37_1
    | ~ spl37_2 ),
    inference(avatar_split_clause,[],[f3222,f3418,f3414]) ).

fof(f3222,plain,
    ( ~ r1_tarski(k19_filter_2(sK1,k19_filter_2(sK1,sK2)),k19_filter_2(sK1,sK2))
    | ~ r1_tarski(k19_filter_2(sK1,sK3),k19_filter_2(sK1,sK4)) ),
    inference(cnf_transformation,[],[f3119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LAT310+2 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 12:20:49 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jLcBo3g3Tp/Vampire---4.8_8452
% 0.60/0.83  % (8561)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.83  % (8564)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.83  % (8563)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.83  % (8562)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83  % (8566)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.83  % (8565)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.83  % (8567)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.83  % (8560)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.85  % (8564)Instruction limit reached!
% 0.60/0.85  % (8564)------------------------------
% 0.60/0.85  % (8564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (8564)Termination reason: Unknown
% 0.60/0.85  % (8564)Termination phase: Unused predicate definition removal
% 0.60/0.85  
% 0.60/0.85  % (8564)Memory used [KB]: 4405
% 0.60/0.85  % (8564)Time elapsed: 0.018 s
% 0.60/0.85  % (8564)Instructions burned: 34 (million)
% 0.60/0.85  % (8564)------------------------------
% 0.60/0.85  % (8564)------------------------------
% 0.60/0.85  % (8561)Instruction limit reached!
% 0.60/0.85  % (8561)------------------------------
% 0.60/0.85  % (8561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (8561)Termination reason: Unknown
% 0.60/0.85  % (8561)Termination phase: Preprocessing 2
% 0.60/0.85  
% 0.60/0.85  % (8561)Memory used [KB]: 5270
% 0.60/0.85  % (8561)Time elapsed: 0.019 s
% 0.60/0.85  % (8561)Instructions burned: 53 (million)
% 0.60/0.85  % (8561)------------------------------
% 0.60/0.85  % (8561)------------------------------
% 0.60/0.85  % (8563)Instruction limit reached!
% 0.60/0.85  % (8563)------------------------------
% 0.60/0.85  % (8563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (8563)Termination reason: Unknown
% 0.60/0.85  % (8563)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (8563)Memory used [KB]: 4579
% 0.60/0.85  % (8563)Time elapsed: 0.021 s
% 0.60/0.85  % (8563)Instructions burned: 34 (million)
% 0.60/0.85  % (8563)------------------------------
% 0.60/0.85  % (8563)------------------------------
% 0.60/0.85  % (8570)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.85  % (8569)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.85  % (8565)Instruction limit reached!
% 0.60/0.85  % (8565)------------------------------
% 0.60/0.85  % (8565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (8565)Termination reason: Unknown
% 0.60/0.85  % (8565)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (8565)Memory used [KB]: 4925
% 0.60/0.85  % (8565)Time elapsed: 0.026 s
% 0.60/0.85  % (8565)Instructions burned: 46 (million)
% 0.60/0.85  % (8565)------------------------------
% 0.60/0.85  % (8565)------------------------------
% 0.60/0.86  % (8572)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.86  % (8567)Instruction limit reached!
% 0.60/0.86  % (8567)------------------------------
% 0.60/0.86  % (8567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.86  % (8571)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.86  % (8567)Termination reason: Unknown
% 0.60/0.86  % (8567)Termination phase: Saturation
% 0.60/0.86  
% 0.60/0.86  % (8567)Memory used [KB]: 4730
% 0.60/0.86  % (8567)Time elapsed: 0.031 s
% 0.60/0.86  % (8567)Instructions burned: 58 (million)
% 0.60/0.86  % (8567)------------------------------
% 0.60/0.86  % (8567)------------------------------
% 0.60/0.86  % (8560)Instruction limit reached!
% 0.60/0.86  % (8560)------------------------------
% 0.60/0.86  % (8560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.86  % (8560)Termination reason: Unknown
% 0.60/0.86  % (8560)Termination phase: Saturation
% 0.60/0.86  
% 0.60/0.86  % (8560)Memory used [KB]: 4613
% 0.60/0.86  % (8560)Time elapsed: 0.032 s
% 0.60/0.86  % (8560)Instructions burned: 35 (million)
% 0.60/0.86  % (8560)------------------------------
% 0.60/0.86  % (8560)------------------------------
% 0.79/0.87  % (8573)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.79/0.87  % (8570)Instruction limit reached!
% 0.79/0.87  % (8570)------------------------------
% 0.79/0.87  % (8570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.87  % (8570)Termination reason: Unknown
% 0.79/0.87  % (8570)Termination phase: Preprocessing 2
% 0.79/0.87  
% 0.79/0.87  % (8570)Memory used [KB]: 4965
% 0.79/0.87  % (8570)Time elapsed: 0.018 s
% 0.79/0.87  % (8570)Instructions burned: 52 (million)
% 0.79/0.87  % (8570)------------------------------
% 0.79/0.87  % (8570)------------------------------
% 0.79/0.87  % (8562)Instruction limit reached!
% 0.79/0.87  % (8562)------------------------------
% 0.79/0.87  % (8562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.87  % (8562)Termination reason: Unknown
% 0.79/0.87  % (8562)Termination phase: Saturation
% 0.79/0.87  
% 0.79/0.87  % (8562)Memory used [KB]: 5576
% 0.79/0.87  % (8562)Time elapsed: 0.040 s
% 0.79/0.87  % (8562)Instructions burned: 79 (million)
% 0.79/0.87  % (8562)------------------------------
% 0.79/0.87  % (8562)------------------------------
% 0.79/0.87  % (8574)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.79/0.87  % (8575)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.79/0.87  % (8566)Instruction limit reached!
% 0.79/0.87  % (8566)------------------------------
% 0.79/0.87  % (8566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.87  % (8566)Termination reason: Unknown
% 0.79/0.87  % (8566)Termination phase: Property scanning
% 0.79/0.87  
% 0.79/0.87  % (8566)Memory used [KB]: 6085
% 0.79/0.87  % (8566)Time elapsed: 0.046 s
% 0.79/0.87  % (8566)Instructions burned: 83 (million)
% 0.79/0.87  % (8566)------------------------------
% 0.79/0.87  % (8566)------------------------------
% 0.79/0.88  % (8569)Instruction limit reached!
% 0.79/0.88  % (8569)------------------------------
% 0.79/0.88  % (8569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.88  % (8569)Termination reason: Unknown
% 0.79/0.88  % (8569)Termination phase: Saturation
% 0.79/0.88  
% 0.79/0.88  % (8569)Memory used [KB]: 5301
% 0.79/0.88  % (8569)Time elapsed: 0.028 s
% 0.79/0.88  % (8569)Instructions burned: 56 (million)
% 0.79/0.88  % (8569)------------------------------
% 0.79/0.88  % (8569)------------------------------
% 0.79/0.88  % (8577)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.79/0.88  % (8576)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.94/0.89  % (8578)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.94/0.89  % (8572)Instruction limit reached!
% 0.94/0.89  % (8572)------------------------------
% 0.94/0.89  % (8572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.89  % (8572)Termination reason: Unknown
% 0.94/0.89  % (8572)Termination phase: Preprocessing 3
% 0.94/0.89  
% 0.94/0.89  % (8572)Memory used [KB]: 5625
% 0.94/0.89  % (8572)Time elapsed: 0.033 s
% 0.94/0.89  % (8572)Instructions burned: 52 (million)
% 0.94/0.89  % (8572)------------------------------
% 0.94/0.89  % (8572)------------------------------
% 0.94/0.89  % (8574)Instruction limit reached!
% 0.94/0.89  % (8574)------------------------------
% 0.94/0.89  % (8574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.89  % (8574)Termination reason: Unknown
% 0.94/0.89  % (8574)Termination phase: Preprocessing 3
% 0.94/0.89  
% 0.94/0.89  % (8574)Memory used [KB]: 6208
% 0.94/0.89  % (8574)Time elapsed: 0.025 s
% 0.94/0.89  % (8574)Instructions burned: 42 (million)
% 0.94/0.89  % (8574)------------------------------
% 0.94/0.89  % (8574)------------------------------
% 0.94/0.90  % (8579)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.94/0.90  % (8580)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 1.00/0.92  % (8580)Instruction limit reached!
% 1.00/0.92  % (8580)------------------------------
% 1.00/0.92  % (8580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.92  % (8580)Termination reason: Unknown
% 1.00/0.92  % (8580)Termination phase: SInE selection
% 1.00/0.92  
% 1.00/0.92  % (8580)Memory used [KB]: 4299
% 1.00/0.92  % (8580)Time elapsed: 0.022 s
% 1.00/0.92  % (8580)Instructions burned: 32 (million)
% 1.00/0.92  % (8580)------------------------------
% 1.00/0.92  % (8580)------------------------------
% 1.00/0.93  % (8581)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.03/0.93  % (8579)Instruction limit reached!
% 1.03/0.93  % (8579)------------------------------
% 1.03/0.93  % (8579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.93  % (8579)Termination reason: Unknown
% 1.03/0.93  % (8579)Termination phase: NewCNF
% 1.03/0.93  
% 1.03/0.93  % (8579)Memory used [KB]: 7254
% 1.03/0.93  % (8579)Time elapsed: 0.036 s
% 1.03/0.93  % (8579)Instructions burned: 62 (million)
% 1.03/0.93  % (8579)------------------------------
% 1.03/0.93  % (8579)------------------------------
% 1.03/0.94  % (8578)Instruction limit reached!
% 1.03/0.94  % (8578)------------------------------
% 1.03/0.94  % (8578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.94  % (8578)Termination reason: Unknown
% 1.03/0.94  % (8578)Termination phase: NewCNF
% 1.03/0.94  
% 1.03/0.94  % (8578)Memory used [KB]: 8583
% 1.03/0.94  % (8578)Time elapsed: 0.052 s
% 1.03/0.94  % (8578)Instructions burned: 94 (million)
% 1.03/0.94  % (8578)------------------------------
% 1.03/0.94  % (8578)------------------------------
% 1.03/0.94  % (8576)Instruction limit reached!
% 1.03/0.94  % (8576)------------------------------
% 1.03/0.94  % (8576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.94  % (8576)Termination reason: Unknown
% 1.03/0.94  % (8576)Termination phase: Saturation
% 1.03/0.94  
% 1.03/0.94  % (8576)Memory used [KB]: 5690
% 1.03/0.94  % (8576)Time elapsed: 0.057 s
% 1.03/0.94  % (8576)Instructions burned: 119 (million)
% 1.03/0.94  % (8576)------------------------------
% 1.03/0.94  % (8576)------------------------------
% 1.03/0.94  % (8582)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.03/0.94  % (8584)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.03/0.94  % (8583)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.03/0.95  % (8577)Instruction limit reached!
% 1.03/0.95  % (8577)------------------------------
% 1.03/0.95  % (8577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.95  % (8577)Termination reason: Unknown
% 1.03/0.95  % (8577)Termination phase: Property scanning
% 1.03/0.95  
% 1.03/0.95  % (8577)Memory used [KB]: 9117
% 1.03/0.95  % (8577)Time elapsed: 0.073 s
% 1.03/0.95  % (8577)Instructions burned: 144 (million)
% 1.03/0.95  % (8577)------------------------------
% 1.03/0.95  % (8577)------------------------------
% 1.03/0.96  % (8582)Instruction limit reached!
% 1.03/0.96  % (8582)------------------------------
% 1.03/0.96  % (8582)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.96  % (8582)Termination reason: Unknown
% 1.03/0.96  % (8582)Termination phase: NewCNF
% 1.03/0.96  
% 1.03/0.96  % (8582)Memory used [KB]: 5405
% 1.03/0.96  % (8582)Time elapsed: 0.022 s
% 1.03/0.96  % (8582)Instructions burned: 57 (million)
% 1.03/0.96  % (8582)------------------------------
% 1.03/0.96  % (8582)------------------------------
% 1.03/0.96  % (8585)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2993ds/102Mi)
% 1.03/0.96  % (8575)Instruction limit reached!
% 1.03/0.96  % (8575)------------------------------
% 1.03/0.96  % (8575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.96  % (8575)Termination reason: Unknown
% 1.03/0.96  % (8575)Termination phase: Saturation
% 1.03/0.96  
% 1.03/0.96  % (8575)Memory used [KB]: 6803
% 1.03/0.96  % (8575)Time elapsed: 0.091 s
% 1.03/0.96  % (8575)Instructions burned: 244 (million)
% 1.03/0.96  % (8575)------------------------------
% 1.03/0.96  % (8575)------------------------------
% 1.03/0.96  % (8586)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2993ds/35Mi)
% 1.03/0.96  % (8584)Instruction limit reached!
% 1.03/0.96  % (8584)------------------------------
% 1.03/0.96  % (8584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.96  % (8584)Termination reason: Unknown
% 1.03/0.96  % (8584)Termination phase: Naming
% 1.03/0.96  
% 1.03/0.96  % (8584)Memory used [KB]: 6328
% 1.03/0.96  % (8584)Time elapsed: 0.026 s
% 1.03/0.96  % (8584)Instructions burned: 47 (million)
% 1.03/0.96  % (8584)------------------------------
% 1.03/0.96  % (8584)------------------------------
% 1.03/0.97  % (8587)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2993ds/87Mi)
% 1.03/0.97  % (8588)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2993ds/109Mi)
% 1.03/0.97  % (8583)Instruction limit reached!
% 1.03/0.97  % (8583)------------------------------
% 1.03/0.97  % (8583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.97  % (8583)Termination reason: Unknown
% 1.03/0.97  % (8583)Termination phase: Saturation
% 1.03/0.97  
% 1.03/0.97  % (8583)Memory used [KB]: 4805
% 1.03/0.97  % (8583)Time elapsed: 0.030 s
% 1.03/0.97  % (8583)Instructions burned: 53 (million)
% 1.03/0.97  % (8583)------------------------------
% 1.03/0.97  % (8583)------------------------------
% 1.03/0.97  % (8586)Instruction limit reached!
% 1.03/0.97  % (8586)------------------------------
% 1.03/0.97  % (8586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.97  % (8586)Termination reason: Unknown
% 1.03/0.97  % (8586)Termination phase: SInE selection
% 1.03/0.97  
% 1.03/0.97  % (8586)Memory used [KB]: 4179
% 1.03/0.97  % (8586)Time elapsed: 0.014 s
% 1.03/0.97  % (8586)Instructions burned: 36 (million)
% 1.03/0.97  % (8586)------------------------------
% 1.03/0.97  % (8586)------------------------------
% 1.03/0.97  % (8589)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2993ds/161Mi)
% 1.03/0.98  % (8571)Instruction limit reached!
% 1.03/0.98  % (8571)------------------------------
% 1.03/0.98  % (8571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.98  % (8571)Termination reason: Unknown
% 1.03/0.98  % (8571)Termination phase: Saturation
% 1.03/0.98  
% 1.03/0.98  % (8571)Memory used [KB]: 6376
% 1.03/0.98  % (8571)Time elapsed: 0.143 s
% 1.03/0.98  % (8571)Instructions burned: 209 (million)
% 1.03/0.98  % (8571)------------------------------
% 1.03/0.98  % (8571)------------------------------
% 1.03/0.98  % (8591)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2993ds/69Mi)
% 1.03/0.98  % (8592)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2993ds/40Mi)
% 1.03/1.00  % (8591)Instruction limit reached!
% 1.03/1.00  % (8591)------------------------------
% 1.03/1.00  % (8591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/1.00  % (8591)Termination reason: Unknown
% 1.03/1.00  % (8591)Termination phase: NewCNF
% 1.03/1.00  
% 1.03/1.00  % (8591)Memory used [KB]: 7639
% 1.03/1.00  % (8591)Time elapsed: 0.025 s
% 1.03/1.00  % (8591)Instructions burned: 71 (million)
% 1.03/1.00  % (8591)------------------------------
% 1.03/1.00  % (8591)------------------------------
% 1.03/1.00  % (8593)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2993ds/360Mi)
% 1.03/1.01  % (8592)Instruction limit reached!
% 1.03/1.01  % (8592)------------------------------
% 1.03/1.01  % (8592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/1.01  % (8592)Termination reason: Unknown
% 1.03/1.01  % (8592)Termination phase: Preprocessing 2
% 1.03/1.01  
% 1.03/1.01  % (8592)Memory used [KB]: 5098
% 1.03/1.01  % (8592)Time elapsed: 0.026 s
% 1.03/1.01  % (8592)Instructions burned: 40 (million)
% 1.03/1.01  % (8592)------------------------------
% 1.03/1.01  % (8592)------------------------------
% 1.59/1.01  % (8587)Instruction limit reached!
% 1.59/1.01  % (8587)------------------------------
% 1.59/1.01  % (8587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/1.01  % (8594)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2993ds/161Mi)
% 1.59/1.01  % (8587)Termination reason: Unknown
% 1.59/1.01  % (8587)Termination phase: NewCNF
% 1.59/1.01  
% 1.59/1.01  % (8587)Memory used [KB]: 8435
% 1.59/1.01  % (8587)Time elapsed: 0.048 s
% 1.59/1.01  % (8587)Instructions burned: 88 (million)
% 1.59/1.01  % (8587)------------------------------
% 1.59/1.01  % (8587)------------------------------
% 1.59/1.02  % (8585)Instruction limit reached!
% 1.59/1.02  % (8585)------------------------------
% 1.59/1.02  % (8585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/1.02  % (8585)Termination reason: Unknown
% 1.59/1.02  % (8585)Termination phase: Saturation
% 1.59/1.02  
% 1.59/1.02  % (8585)Memory used [KB]: 5827
% 1.59/1.02  % (8585)Time elapsed: 0.059 s
% 1.59/1.02  % (8585)Instructions burned: 102 (million)
% 1.59/1.02  % (8585)------------------------------
% 1.59/1.02  % (8585)------------------------------
% 1.59/1.02  % (8595)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2993ds/80Mi)
% 1.59/1.02  % (8596)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.59/1.03  % (8588)Instruction limit reached!
% 1.59/1.03  % (8588)------------------------------
% 1.59/1.03  % (8588)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/1.03  % (8588)Termination reason: Unknown
% 1.59/1.03  % (8588)Termination phase: Preprocessing 3
% 1.59/1.03  
% 1.59/1.03  % (8588)Memory used [KB]: 7787
% 1.59/1.03  % (8588)Time elapsed: 0.060 s
% 1.59/1.03  % (8588)Instructions burned: 109 (million)
% 1.59/1.03  % (8588)------------------------------
% 1.59/1.03  % (8588)------------------------------
% 1.59/1.03  % (8597)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.59/1.04  % (8573)First to succeed.
% 1.59/1.04  % (8596)Instruction limit reached!
% 1.59/1.04  % (8596)------------------------------
% 1.59/1.04  % (8596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/1.04  % (8596)Termination reason: Unknown
% 1.59/1.04  % (8596)Termination phase: SInE selection
% 1.59/1.04  
% 1.59/1.04  % (8596)Memory used [KB]: 4244
% 1.59/1.04  % (8596)Time elapsed: 0.024 s
% 1.59/1.04  % (8596)Instructions burned: 37 (million)
% 1.59/1.04  % (8596)------------------------------
% 1.59/1.04  % (8596)------------------------------
% 1.59/1.05  % (8598)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2992ds/47Mi)
% 1.59/1.05  % (8573)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8559"
% 1.59/1.05  % (8573)Refutation found. Thanks to Tanya!
% 1.59/1.05  % SZS status Theorem for Vampire---4
% 1.59/1.05  % SZS output start Proof for Vampire---4
% See solution above
% 1.59/1.05  % (8573)------------------------------
% 1.59/1.05  % (8573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/1.05  % (8573)Termination reason: Refutation
% 1.59/1.05  
% 1.59/1.05  % (8573)Memory used [KB]: 6195
% 1.59/1.05  % (8573)Time elapsed: 0.206 s
% 1.59/1.05  % (8573)Instructions burned: 314 (million)
% 1.59/1.05  % (8559)Success in time 0.709 s
% 1.59/1.05  % Vampire---4.8 exiting
%------------------------------------------------------------------------------