TSTP Solution File: LAT337+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT337+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/sandbox/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 07:24:07 EDT 2024

% Result   : Theorem 0.77s 0.88s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  189 (  15 unt;   0 def)
%            Number of atoms       : 1071 (   6 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives : 1428 ( 546   ~; 600   |; 239   &)
%                                         (  16 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   36 (  34 usr;  14 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  118 ( 103   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4332,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4018,f4098,f4124,f4131,f4148,f4177,f4195,f4206,f4226,f4252,f4261,f4279,f4317,f4331]) ).

fof(f4331,plain,
    ( ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(avatar_contradiction_clause,[],[f4330]) ).

fof(f4330,plain,
    ( $false
    | ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4329,f3479]) ).

fof(f3479,plain,
    m1_subset_1(sK10,u1_struct_0(sK9)),
    inference(cnf_transformation,[],[f3322]) ).

fof(f3322,plain,
    ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
      | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
      | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
      | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) )
    & r3_lattices(sK9,sK10,sK11)
    & l3_lattices(sK9)
    & v17_lattices(sK9)
    & v10_lattices(sK9)
    & ~ v3_struct_0(sK9)
    & m1_subset_1(sK11,u1_struct_0(sK9))
    & m1_subset_1(sK10,u1_struct_0(sK9))
    & l3_lattices(sK9)
    & v10_lattices(sK9)
    & ~ v3_struct_0(sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f3038,f3321,f3320,f3319]) ).

fof(f3319,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ( ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  | ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  | ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  | v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
                & r3_lattices(X0,X1,X2)
                & l3_lattices(X0)
                & v17_lattices(X0)
                & v10_lattices(X0)
                & ~ v3_struct_0(X0)
                & m1_subset_1(X2,u1_struct_0(X0)) )
            & m1_subset_1(X1,u1_struct_0(X0)) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
                | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
                | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
                | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2))) )
              & r3_lattices(sK9,X1,X2)
              & l3_lattices(sK9)
              & v17_lattices(sK9)
              & v10_lattices(sK9)
              & ~ v3_struct_0(sK9)
              & m1_subset_1(X2,u1_struct_0(sK9)) )
          & m1_subset_1(X1,u1_struct_0(sK9)) )
      & l3_lattices(sK9)
      & v10_lattices(sK9)
      & ~ v3_struct_0(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f3320,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
              | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
              | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2)))
              | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,X1,X2))) )
            & r3_lattices(sK9,X1,X2)
            & l3_lattices(sK9)
            & v17_lattices(sK9)
            & v10_lattices(sK9)
            & ~ v3_struct_0(sK9)
            & m1_subset_1(X2,u1_struct_0(sK9)) )
        & m1_subset_1(X1,u1_struct_0(sK9)) )
   => ( ? [X2] :
          ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
            | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
            | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
            | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2))) )
          & r3_lattices(sK9,sK10,X2)
          & l3_lattices(sK9)
          & v17_lattices(sK9)
          & v10_lattices(sK9)
          & ~ v3_struct_0(sK9)
          & m1_subset_1(X2,u1_struct_0(sK9)) )
      & m1_subset_1(sK10,u1_struct_0(sK9)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3321,plain,
    ( ? [X2] :
        ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
          | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
          | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2)))
          | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,X2))) )
        & r3_lattices(sK9,sK10,X2)
        & l3_lattices(sK9)
        & v17_lattices(sK9)
        & v10_lattices(sK9)
        & ~ v3_struct_0(sK9)
        & m1_subset_1(X2,u1_struct_0(sK9)) )
   => ( ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
        | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
        | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
        | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) )
      & r3_lattices(sK9,sK10,sK11)
      & l3_lattices(sK9)
      & v17_lattices(sK9)
      & v10_lattices(sK9)
      & ~ v3_struct_0(sK9)
      & m1_subset_1(sK11,u1_struct_0(sK9)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3038,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              & r3_lattices(X0,X1,X2)
              & l3_lattices(X0)
              & v17_lattices(X0)
              & v10_lattices(X0)
              & ~ v3_struct_0(X0)
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f3037]) ).

fof(f3037,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | ~ v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | ~ v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                | v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              & r3_lattices(X0,X1,X2)
              & l3_lattices(X0)
              & v17_lattices(X0)
              & v10_lattices(X0)
              & ~ v3_struct_0(X0)
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f3027]) ).

fof(f3027,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( ( r3_lattices(X0,X1,X2)
                    & l3_lattices(X0)
                    & v17_lattices(X0)
                    & v10_lattices(X0)
                    & ~ v3_struct_0(X0) )
                 => ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                    & v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                    & v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                    & ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
    inference(negated_conjecture,[],[f3026]) ).

fof(f3026,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( ( r3_lattices(X0,X1,X2)
                  & l3_lattices(X0)
                  & v17_lattices(X0)
                  & v10_lattices(X0)
                  & ~ v3_struct_0(X0) )
               => ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & v17_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',t87_filter_2) ).

fof(f4329,plain,
    ( ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4328,f3480]) ).

fof(f3480,plain,
    m1_subset_1(sK11,u1_struct_0(sK9)),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4328,plain,
    ( ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4327,f3481]) ).

fof(f3481,plain,
    ~ v3_struct_0(sK9),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4327,plain,
    ( v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4326,f3482]) ).

fof(f3482,plain,
    v10_lattices(sK9),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4326,plain,
    ( ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4325,f4045]) ).

fof(f4045,plain,
    ( v15_lattices(sK9)
    | ~ spl68_7 ),
    inference(avatar_component_clause,[],[f4044]) ).

fof(f4044,plain,
    ( spl68_7
  <=> v15_lattices(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_7])]) ).

fof(f4325,plain,
    ( ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_8
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4324,f4049]) ).

fof(f4049,plain,
    ( v16_lattices(sK9)
    | ~ spl68_8 ),
    inference(avatar_component_clause,[],[f4048]) ).

fof(f4048,plain,
    ( spl68_8
  <=> v16_lattices(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_8])]) ).

fof(f4324,plain,
    ( ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4323,f3484]) ).

fof(f3484,plain,
    l3_lattices(sK9),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4323,plain,
    ( ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f4322,f4053]) ).

fof(f4053,plain,
    ( v12_lattices(sK9)
    | ~ spl68_9 ),
    inference(avatar_component_clause,[],[f4052]) ).

fof(f4052,plain,
    ( spl68_9
  <=> v12_lattices(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_9])]) ).

fof(f4322,plain,
    ( ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1 ),
    inference(subsumption_resolution,[],[f4319,f3485]) ).

fof(f3485,plain,
    r3_lattices(sK9,sK10,sK11),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4319,plain,
    ( ~ r3_lattices(sK9,sK10,sK11)
    | ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_1 ),
    inference(resolution,[],[f4005,f3980]) ).

fof(f3980,plain,
    ! [X2,X0,X1] :
      ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f3491]) ).

fof(f3491,plain,
    ! [X2,X0,X1] :
      ( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3044]) ).

fof(f3044,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              | ~ r3_lattices(X0,X1,X2)
              | ~ v12_lattices(X0)
              | ~ l3_lattices(X0)
              | ~ v16_lattices(X0)
              | ~ v15_lattices(X0)
              | ~ v10_lattices(X0)
              | v3_struct_0(X0)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3043]) ).

fof(f3043,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                & ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              | ~ r3_lattices(X0,X1,X2)
              | ~ v12_lattices(X0)
              | ~ l3_lattices(X0)
              | ~ v16_lattices(X0)
              | ~ v15_lattices(X0)
              | ~ v10_lattices(X0)
              | v3_struct_0(X0)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f3025]) ).

fof(f3025,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( ( r3_lattices(X0,X1,X2)
                  & v12_lattices(X0)
                  & l3_lattices(X0)
                  & v16_lattices(X0)
                  & v15_lattices(X0)
                  & v10_lattices(X0)
                  & ~ v3_struct_0(X0) )
               => ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
                  & ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',t86_filter_2) ).

fof(f4005,plain,
    ( v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ spl68_1 ),
    inference(avatar_component_clause,[],[f4003]) ).

fof(f4003,plain,
    ( spl68_1
  <=> v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_1])]) ).

fof(f4317,plain,
    ( ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(avatar_contradiction_clause,[],[f4316]) ).

fof(f4316,plain,
    ( $false
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4315,f3479]) ).

fof(f4315,plain,
    ( ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4314,f3480]) ).

fof(f4314,plain,
    ( ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4313,f3481]) ).

fof(f4313,plain,
    ( v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4312,f3482]) ).

fof(f4312,plain,
    ( ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4311,f4045]) ).

fof(f4311,plain,
    ( ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_8
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4310,f4049]) ).

fof(f4310,plain,
    ( ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4309,f3484]) ).

fof(f4309,plain,
    ( ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ spl68_9
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4308,f4053]) ).

fof(f4308,plain,
    ( ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_22 ),
    inference(subsumption_resolution,[],[f4303,f3485]) ).

fof(f4303,plain,
    ( ~ r3_lattices(sK9,sK10,sK11)
    | ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_22 ),
    inference(resolution,[],[f4192,f3977]) ).

fof(f3977,plain,
    ! [X2,X0,X1] :
      ( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f3494]) ).

fof(f3494,plain,
    ! [X2,X0,X1] :
      ( v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3044]) ).

fof(f4192,plain,
    ( ~ v16_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_22 ),
    inference(avatar_component_clause,[],[f4190]) ).

fof(f4190,plain,
    ( spl68_22
  <=> v16_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_22])]) ).

fof(f4279,plain,
    spl68_21,
    inference(avatar_contradiction_clause,[],[f4278]) ).

fof(f4278,plain,
    ( $false
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4277,f3481]) ).

fof(f4277,plain,
    ( v3_struct_0(sK9)
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4276,f3482]) ).

fof(f4276,plain,
    ( ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4275,f3484]) ).

fof(f4275,plain,
    ( ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4274,f3479]) ).

fof(f4274,plain,
    ( ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4273,f3480]) ).

fof(f4273,plain,
    ( ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_21 ),
    inference(subsumption_resolution,[],[f4264,f3485]) ).

fof(f4264,plain,
    ( ~ r3_lattices(sK9,sK10,sK11)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_21 ),
    inference(resolution,[],[f4188,f3496]) ).

fof(f3496,plain,
    ! [X2,X0,X1] :
      ( v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3046]) ).

fof(f3046,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1
                & k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
                & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              | ~ r3_lattices(X0,X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3045]) ).

fof(f3045,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1
                & k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
                & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) )
              | ~ r3_lattices(X0,X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f3023]) ).

fof(f3023,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r3_lattices(X0,X1,X2)
               => ( k5_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X1
                  & k6_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) = X2
                  & v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2))) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',t84_filter_2) ).

fof(f4188,plain,
    ( ~ v15_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_21 ),
    inference(avatar_component_clause,[],[f4186]) ).

fof(f4186,plain,
    ( spl68_21
  <=> v15_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_21])]) ).

fof(f4261,plain,
    ~ spl68_16,
    inference(avatar_contradiction_clause,[],[f4260]) ).

fof(f4260,plain,
    ( $false
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f4259,f3481]) ).

fof(f4259,plain,
    ( v3_struct_0(sK9)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f4258,f3482]) ).

fof(f4258,plain,
    ( ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f4257,f3484]) ).

fof(f4257,plain,
    ( ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f4256,f3479]) ).

fof(f4256,plain,
    ( ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f4254,f3480]) ).

fof(f4254,plain,
    ( ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_16 ),
    inference(resolution,[],[f4093,f3509]) ).

fof(f3509,plain,
    ! [X2,X0,X1] :
      ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3062]) ).

fof(f3062,plain,
    ! [X0,X1,X2] :
      ( ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
        & ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) )
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3061]) ).

fof(f3061,plain,
    ! [X0,X1,X2] :
      ( ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
        & ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) )
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2912]) ).

fof(f2912,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X0))
        & m1_subset_1(X1,u1_struct_0(X0))
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
        & ~ v1_xboole_0(k22_filter_2(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',dt_k22_filter_2) ).

fof(f4093,plain,
    ( v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ spl68_16 ),
    inference(avatar_component_clause,[],[f4091]) ).

fof(f4091,plain,
    ( spl68_16
  <=> v1_xboole_0(k22_filter_2(sK9,sK10,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_16])]) ).

fof(f4252,plain,
    spl68_23,
    inference(avatar_contradiction_clause,[],[f4251]) ).

fof(f4251,plain,
    ( $false
    | spl68_23 ),
    inference(subsumption_resolution,[],[f4250,f3481]) ).

fof(f4250,plain,
    ( v3_struct_0(sK9)
    | spl68_23 ),
    inference(subsumption_resolution,[],[f4249,f3484]) ).

fof(f4249,plain,
    ( ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_23 ),
    inference(subsumption_resolution,[],[f4238,f3483]) ).

fof(f3483,plain,
    v17_lattices(sK9),
    inference(cnf_transformation,[],[f3322]) ).

fof(f4238,plain,
    ( ~ v17_lattices(sK9)
    | ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_23 ),
    inference(resolution,[],[f4225,f3644]) ).

fof(f3644,plain,
    ! [X0] :
      ( v11_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3354]) ).

fof(f3354,plain,
    ! [X0] :
      ( ( ( v17_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ v16_lattices(X0)
          | ~ v15_lattices(X0) )
        & ( ( v11_lattices(X0)
            & v16_lattices(X0)
            & v15_lattices(X0) )
          | ~ v17_lattices(X0) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3353]) ).

fof(f3353,plain,
    ! [X0] :
      ( ( ( v17_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ v16_lattices(X0)
          | ~ v15_lattices(X0) )
        & ( ( v11_lattices(X0)
            & v16_lattices(X0)
            & v15_lattices(X0) )
          | ~ v17_lattices(X0) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f3102]) ).

fof(f3102,plain,
    ! [X0] :
      ( ( v17_lattices(X0)
      <=> ( v11_lattices(X0)
          & v16_lattices(X0)
          & v15_lattices(X0) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3101]) ).

fof(f3101,plain,
    ! [X0] :
      ( ( v17_lattices(X0)
      <=> ( v11_lattices(X0)
          & v16_lattices(X0)
          & v15_lattices(X0) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2351]) ).

fof(f2351,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v17_lattices(X0)
      <=> ( v11_lattices(X0)
          & v16_lattices(X0)
          & v15_lattices(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',d20_lattices) ).

fof(f4225,plain,
    ( ~ v11_lattices(sK9)
    | spl68_23 ),
    inference(avatar_component_clause,[],[f4223]) ).

fof(f4223,plain,
    ( spl68_23
  <=> v11_lattices(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_23])]) ).

fof(f4226,plain,
    ( spl68_16
    | ~ spl68_23
    | ~ spl68_17
    | spl68_20 ),
    inference(avatar_split_clause,[],[f4221,f4182,f4095,f4223,f4091]) ).

fof(f4095,plain,
    ( spl68_17
  <=> m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_17])]) ).

fof(f4182,plain,
    ( spl68_20
  <=> v11_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_20])]) ).

fof(f4221,plain,
    ( ~ v11_lattices(sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ spl68_17
    | spl68_20 ),
    inference(subsumption_resolution,[],[f4220,f3481]) ).

fof(f4220,plain,
    ( ~ v11_lattices(sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | v3_struct_0(sK9)
    | ~ spl68_17
    | spl68_20 ),
    inference(subsumption_resolution,[],[f4219,f3482]) ).

fof(f4219,plain,
    ( ~ v11_lattices(sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_17
    | spl68_20 ),
    inference(subsumption_resolution,[],[f4218,f3484]) ).

fof(f4218,plain,
    ( ~ v11_lattices(sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ spl68_17
    | spl68_20 ),
    inference(subsumption_resolution,[],[f4213,f4096]) ).

fof(f4096,plain,
    ( m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | ~ spl68_17 ),
    inference(avatar_component_clause,[],[f4095]) ).

fof(f4213,plain,
    ( ~ v11_lattices(sK9)
    | ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_20 ),
    inference(resolution,[],[f4184,f3511]) ).

fof(f3511,plain,
    ! [X0,X1] :
      ( v11_lattices(k23_filter_2(X0,X1))
      | ~ v11_lattices(X0)
      | ~ m2_lattice4(X1,X0)
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3064]) ).

fof(f3064,plain,
    ! [X0] :
      ( ! [X1] :
          ( v11_lattices(k23_filter_2(X0,X1))
          | ~ v11_lattices(X0)
          | ~ m2_lattice4(X1,X0)
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3063]) ).

fof(f3063,plain,
    ! [X0] :
      ( ! [X1] :
          ( v11_lattices(k23_filter_2(X0,X1))
          | ~ v11_lattices(X0)
          | ~ m2_lattice4(X1,X0)
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f3017]) ).

fof(f3017,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
         => ( v11_lattices(X0)
           => v11_lattices(k23_filter_2(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',t78_filter_2) ).

fof(f4184,plain,
    ( ~ v11_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_20 ),
    inference(avatar_component_clause,[],[f4182]) ).

fof(f4206,plain,
    spl68_17,
    inference(avatar_contradiction_clause,[],[f4205]) ).

fof(f4205,plain,
    ( $false
    | spl68_17 ),
    inference(subsumption_resolution,[],[f4204,f3481]) ).

fof(f4204,plain,
    ( v3_struct_0(sK9)
    | spl68_17 ),
    inference(subsumption_resolution,[],[f4203,f3482]) ).

fof(f4203,plain,
    ( ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_17 ),
    inference(subsumption_resolution,[],[f4202,f3484]) ).

fof(f4202,plain,
    ( ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_17 ),
    inference(subsumption_resolution,[],[f4201,f3479]) ).

fof(f4201,plain,
    ( ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_17 ),
    inference(subsumption_resolution,[],[f4197,f3480]) ).

fof(f4197,plain,
    ( ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_17 ),
    inference(resolution,[],[f4097,f3510]) ).

fof(f3510,plain,
    ! [X2,X0,X1] :
      ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3062]) ).

fof(f4097,plain,
    ( ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | spl68_17 ),
    inference(avatar_component_clause,[],[f4095]) ).

fof(f4195,plain,
    ( spl68_1
    | ~ spl68_21
    | ~ spl68_22
    | ~ spl68_20
    | spl68_3
    | ~ spl68_4 ),
    inference(avatar_split_clause,[],[f4194,f4015,f4011,f4182,f4190,f4186,f4003]) ).

fof(f4011,plain,
    ( spl68_3
  <=> v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_3])]) ).

fof(f4015,plain,
    ( spl68_4
  <=> l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_4])]) ).

fof(f4194,plain,
    ( ~ v11_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v16_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v15_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_3
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f4179,f4016]) ).

fof(f4016,plain,
    ( l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ spl68_4 ),
    inference(avatar_component_clause,[],[f4015]) ).

fof(f4179,plain,
    ( ~ v11_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v16_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v15_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_3 ),
    inference(resolution,[],[f4013,f3645]) ).

fof(f3645,plain,
    ! [X0] :
      ( v17_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3354]) ).

fof(f4013,plain,
    ( ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_3 ),
    inference(avatar_component_clause,[],[f4011]) ).

fof(f4177,plain,
    spl68_8,
    inference(avatar_contradiction_clause,[],[f4176]) ).

fof(f4176,plain,
    ( $false
    | spl68_8 ),
    inference(subsumption_resolution,[],[f4175,f3481]) ).

fof(f4175,plain,
    ( v3_struct_0(sK9)
    | spl68_8 ),
    inference(subsumption_resolution,[],[f4174,f3484]) ).

fof(f4174,plain,
    ( ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_8 ),
    inference(subsumption_resolution,[],[f4166,f3483]) ).

fof(f4166,plain,
    ( ~ v17_lattices(sK9)
    | ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_8 ),
    inference(resolution,[],[f4050,f3643]) ).

fof(f3643,plain,
    ! [X0] :
      ( v16_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3354]) ).

fof(f4050,plain,
    ( ~ v16_lattices(sK9)
    | spl68_8 ),
    inference(avatar_component_clause,[],[f4048]) ).

fof(f4148,plain,
    spl68_7,
    inference(avatar_contradiction_clause,[],[f4147]) ).

fof(f4147,plain,
    ( $false
    | spl68_7 ),
    inference(subsumption_resolution,[],[f4146,f3481]) ).

fof(f4146,plain,
    ( v3_struct_0(sK9)
    | spl68_7 ),
    inference(subsumption_resolution,[],[f4145,f3484]) ).

fof(f4145,plain,
    ( ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_7 ),
    inference(subsumption_resolution,[],[f4135,f3483]) ).

fof(f4135,plain,
    ( ~ v17_lattices(sK9)
    | ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_7 ),
    inference(resolution,[],[f4046,f3642]) ).

fof(f3642,plain,
    ! [X0] :
      ( v15_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3354]) ).

fof(f4046,plain,
    ( ~ v15_lattices(sK9)
    | spl68_7 ),
    inference(avatar_component_clause,[],[f4044]) ).

fof(f4131,plain,
    ( ~ spl68_7
    | ~ spl68_8
    | ~ spl68_9
    | spl68_4 ),
    inference(avatar_split_clause,[],[f4130,f4015,f4052,f4048,f4044]) ).

fof(f4130,plain,
    ( ~ v12_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4129,f3479]) ).

fof(f4129,plain,
    ( ~ v12_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4128,f3480]) ).

fof(f4128,plain,
    ( ~ v12_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4127,f3481]) ).

fof(f4127,plain,
    ( ~ v12_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4126,f3482]) ).

fof(f4126,plain,
    ( ~ v12_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4125,f3484]) ).

fof(f4125,plain,
    ( ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(subsumption_resolution,[],[f4082,f3485]) ).

fof(f4082,plain,
    ( ~ r3_lattices(sK9,sK10,sK11)
    | ~ v12_lattices(sK9)
    | ~ l3_lattices(sK9)
    | ~ v16_lattices(sK9)
    | ~ v15_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ m1_subset_1(sK11,u1_struct_0(sK9))
    | ~ m1_subset_1(sK10,u1_struct_0(sK9))
    | spl68_4 ),
    inference(resolution,[],[f4017,f3976]) ).

fof(f3976,plain,
    ! [X2,X0,X1] :
      ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f3495]) ).

fof(f3495,plain,
    ! [X2,X0,X1] :
      ( l3_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
      | ~ r3_lattices(X0,X1,X2)
      | ~ v12_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3044]) ).

fof(f4017,plain,
    ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_4 ),
    inference(avatar_component_clause,[],[f4015]) ).

fof(f4124,plain,
    spl68_9,
    inference(avatar_contradiction_clause,[],[f4123]) ).

fof(f4123,plain,
    ( $false
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4122,f3481]) ).

fof(f4122,plain,
    ( v3_struct_0(sK9)
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4121,f3484]) ).

fof(f4121,plain,
    ( ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4113,f3483]) ).

fof(f4113,plain,
    ( ~ v17_lattices(sK9)
    | ~ l3_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_9 ),
    inference(resolution,[],[f4102,f3644]) ).

fof(f4102,plain,
    ( ~ v11_lattices(sK9)
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4101,f3484]) ).

fof(f4101,plain,
    ( ~ v11_lattices(sK9)
    | ~ l3_lattices(sK9)
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4100,f3481]) ).

fof(f4100,plain,
    ( ~ v11_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ l3_lattices(sK9)
    | spl68_9 ),
    inference(subsumption_resolution,[],[f4099,f3482]) ).

fof(f4099,plain,
    ( ~ v11_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | ~ l3_lattices(sK9)
    | spl68_9 ),
    inference(resolution,[],[f4084,f3593]) ).

fof(f3593,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ v11_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3309]) ).

fof(f3309,plain,
    ! [X0] :
      ( sP3(X0)
      | ~ v11_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(definition_folding,[],[f3092,f3308]) ).

fof(f3308,plain,
    ! [X0] :
      ( ( v12_lattices(X0)
        & v10_lattices(X0)
        & v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f3092,plain,
    ! [X0] :
      ( ( v12_lattices(X0)
        & v10_lattices(X0)
        & v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ v11_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3091]) ).

fof(f3091,plain,
    ! [X0] :
      ( ( v12_lattices(X0)
        & v10_lattices(X0)
        & v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ v11_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2331]) ).

fof(f2331,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( ( v11_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ( v12_lattices(X0)
          & v10_lattices(X0)
          & v9_lattices(X0)
          & v8_lattices(X0)
          & v7_lattices(X0)
          & v6_lattices(X0)
          & v5_lattices(X0)
          & v4_lattices(X0)
          & ~ v3_struct_0(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',cc7_lattices) ).

fof(f4084,plain,
    ( ~ sP3(sK9)
    | spl68_9 ),
    inference(resolution,[],[f4054,f3592]) ).

fof(f3592,plain,
    ! [X0] :
      ( v12_lattices(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f3342]) ).

fof(f3342,plain,
    ! [X0] :
      ( ( v12_lattices(X0)
        & v10_lattices(X0)
        & v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f3308]) ).

fof(f4054,plain,
    ( ~ v12_lattices(sK9)
    | spl68_9 ),
    inference(avatar_component_clause,[],[f4052]) ).

fof(f4098,plain,
    ( spl68_16
    | ~ spl68_17
    | spl68_2 ),
    inference(avatar_split_clause,[],[f4089,f4007,f4095,f4091]) ).

fof(f4007,plain,
    ( spl68_2
  <=> v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_2])]) ).

fof(f4089,plain,
    ( ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | spl68_2 ),
    inference(subsumption_resolution,[],[f4088,f3481]) ).

fof(f4088,plain,
    ( ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | v3_struct_0(sK9)
    | spl68_2 ),
    inference(subsumption_resolution,[],[f4087,f3482]) ).

fof(f4087,plain,
    ( ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_2 ),
    inference(subsumption_resolution,[],[f4086,f3484]) ).

fof(f4086,plain,
    ( ~ m2_lattice4(k22_filter_2(sK9,sK10,sK11),sK9)
    | v1_xboole_0(k22_filter_2(sK9,sK10,sK11))
    | ~ l3_lattices(sK9)
    | ~ v10_lattices(sK9)
    | v3_struct_0(sK9)
    | spl68_2 ),
    inference(resolution,[],[f4031,f3529]) ).

fof(f3529,plain,
    ! [X0,X1] :
      ( sP0(X1,X0)
      | ~ m2_lattice4(X1,X0)
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3303]) ).

fof(f3303,plain,
    ! [X0,X1] :
      ( sP0(X1,X0)
      | ~ m2_lattice4(X1,X0)
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f3074,f3302]) ).

fof(f3302,plain,
    ! [X1,X0] :
      ( ( v10_lattices(k23_filter_2(X0,X1))
        & v9_lattices(k23_filter_2(X0,X1))
        & v8_lattices(k23_filter_2(X0,X1))
        & v7_lattices(k23_filter_2(X0,X1))
        & v6_lattices(k23_filter_2(X0,X1))
        & v5_lattices(k23_filter_2(X0,X1))
        & v4_lattices(k23_filter_2(X0,X1))
        & v3_lattices(k23_filter_2(X0,X1))
        & ~ v3_struct_0(k23_filter_2(X0,X1)) )
      | ~ sP0(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f3074,plain,
    ! [X0,X1] :
      ( ( v10_lattices(k23_filter_2(X0,X1))
        & v9_lattices(k23_filter_2(X0,X1))
        & v8_lattices(k23_filter_2(X0,X1))
        & v7_lattices(k23_filter_2(X0,X1))
        & v6_lattices(k23_filter_2(X0,X1))
        & v5_lattices(k23_filter_2(X0,X1))
        & v4_lattices(k23_filter_2(X0,X1))
        & v3_lattices(k23_filter_2(X0,X1))
        & ~ v3_struct_0(k23_filter_2(X0,X1)) )
      | ~ m2_lattice4(X1,X0)
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f3073]) ).

fof(f3073,plain,
    ! [X0,X1] :
      ( ( v10_lattices(k23_filter_2(X0,X1))
        & v9_lattices(k23_filter_2(X0,X1))
        & v8_lattices(k23_filter_2(X0,X1))
        & v7_lattices(k23_filter_2(X0,X1))
        & v6_lattices(k23_filter_2(X0,X1))
        & v5_lattices(k23_filter_2(X0,X1))
        & v4_lattices(k23_filter_2(X0,X1))
        & v3_lattices(k23_filter_2(X0,X1))
        & ~ v3_struct_0(k23_filter_2(X0,X1)) )
      | ~ m2_lattice4(X1,X0)
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f3008]) ).

fof(f3008,axiom,
    ! [X0,X1] :
      ( ( m2_lattice4(X1,X0)
        & ~ v1_xboole_0(X1)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v10_lattices(k23_filter_2(X0,X1))
        & v9_lattices(k23_filter_2(X0,X1))
        & v8_lattices(k23_filter_2(X0,X1))
        & v7_lattices(k23_filter_2(X0,X1))
        & v6_lattices(k23_filter_2(X0,X1))
        & v5_lattices(k23_filter_2(X0,X1))
        & v4_lattices(k23_filter_2(X0,X1))
        & v3_lattices(k23_filter_2(X0,X1))
        & ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316',fc5_filter_2) ).

fof(f4031,plain,
    ( ~ sP0(k22_filter_2(sK9,sK10,sK11),sK9)
    | spl68_2 ),
    inference(resolution,[],[f4009,f3528]) ).

fof(f3528,plain,
    ! [X0,X1] :
      ( v10_lattices(k23_filter_2(X1,X0))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f3331]) ).

fof(f3331,plain,
    ! [X0,X1] :
      ( ( v10_lattices(k23_filter_2(X1,X0))
        & v9_lattices(k23_filter_2(X1,X0))
        & v8_lattices(k23_filter_2(X1,X0))
        & v7_lattices(k23_filter_2(X1,X0))
        & v6_lattices(k23_filter_2(X1,X0))
        & v5_lattices(k23_filter_2(X1,X0))
        & v4_lattices(k23_filter_2(X1,X0))
        & v3_lattices(k23_filter_2(X1,X0))
        & ~ v3_struct_0(k23_filter_2(X1,X0)) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f3330]) ).

fof(f3330,plain,
    ! [X1,X0] :
      ( ( v10_lattices(k23_filter_2(X0,X1))
        & v9_lattices(k23_filter_2(X0,X1))
        & v8_lattices(k23_filter_2(X0,X1))
        & v7_lattices(k23_filter_2(X0,X1))
        & v6_lattices(k23_filter_2(X0,X1))
        & v5_lattices(k23_filter_2(X0,X1))
        & v4_lattices(k23_filter_2(X0,X1))
        & v3_lattices(k23_filter_2(X0,X1))
        & ~ v3_struct_0(k23_filter_2(X0,X1)) )
      | ~ sP0(X1,X0) ),
    inference(nnf_transformation,[],[f3302]) ).

fof(f4009,plain,
    ( ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | spl68_2 ),
    inference(avatar_component_clause,[],[f4007]) ).

fof(f4018,plain,
    ( spl68_1
    | ~ spl68_2
    | ~ spl68_3
    | ~ spl68_4 ),
    inference(avatar_split_clause,[],[f3486,f4015,f4011,f4007,f4003]) ).

fof(f3486,plain,
    ( ~ l3_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v17_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | ~ v10_lattices(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11)))
    | v3_struct_0(k23_filter_2(sK9,k22_filter_2(sK9,sK10,sK11))) ),
    inference(cnf_transformation,[],[f3322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LAT337+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 12:21:34 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.nenesXnjKM/Vampire---4.8_12316
% 0.63/0.81  % (12427)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)
% 0.63/0.81  % (12429)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (12428)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)
% 0.63/0.81  % (12431)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)
% 0.63/0.81  % (12430)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)
% 0.63/0.81  % (12432)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)
% 0.63/0.81  % (12434)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)
% 0.63/0.81  % (12433)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)
% 0.63/0.83  % (12427)Instruction limit reached!
% 0.63/0.83  % (12427)------------------------------
% 0.63/0.83  % (12427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (12427)Termination reason: Unknown
% 0.63/0.83  % (12427)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (12427)Memory used [KB]: 4543
% 0.63/0.83  % (12427)Time elapsed: 0.014 s
% 0.63/0.83  % (12427)Instructions burned: 37 (million)
% 0.63/0.83  % (12427)------------------------------
% 0.63/0.83  % (12427)------------------------------
% 0.63/0.83  % (12431)Instruction limit reached!
% 0.63/0.83  % (12431)------------------------------
% 0.63/0.83  % (12431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (12431)Termination reason: Unknown
% 0.63/0.83  % (12431)Termination phase: Preprocessing 1
% 0.63/0.83  
% 0.63/0.83  % (12431)Memory used [KB]: 4261
% 0.63/0.83  % (12431)Time elapsed: 0.017 s
% 0.63/0.83  % (12431)Instructions burned: 35 (million)
% 0.63/0.83  % (12431)------------------------------
% 0.63/0.83  % (12431)------------------------------
% 0.63/0.83  % (12435)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)
% 0.63/0.83  % (12430)Instruction limit reached!
% 0.63/0.83  % (12430)------------------------------
% 0.63/0.83  % (12430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.83  % (12430)Termination reason: Unknown
% 0.63/0.83  % (12430)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (12430)Memory used [KB]: 4747
% 0.63/0.83  % (12430)Time elapsed: 0.020 s
% 0.63/0.83  % (12430)Instructions burned: 33 (million)
% 0.63/0.83  % (12430)------------------------------
% 0.63/0.83  % (12430)------------------------------
% 0.63/0.83  % (12436)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)
% 0.63/0.84  % (12432)Instruction limit reached!
% 0.63/0.84  % (12432)------------------------------
% 0.63/0.84  % (12432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.84  % (12432)Termination reason: Unknown
% 0.63/0.84  % (12432)Termination phase: Property scanning
% 0.63/0.84  
% 0.63/0.84  % (12432)Memory used [KB]: 5175
% 0.63/0.84  % (12432)Time elapsed: 0.025 s
% 0.63/0.84  % (12432)Instructions burned: 46 (million)
% 0.63/0.84  % (12432)------------------------------
% 0.63/0.84  % (12432)------------------------------
% 0.63/0.84  % (12428)Instruction limit reached!
% 0.63/0.84  % (12428)------------------------------
% 0.63/0.84  % (12428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.84  % (12428)Termination reason: Unknown
% 0.63/0.84  % (12428)Termination phase: Preprocessing 2
% 0.63/0.84  
% 0.63/0.84  % (12428)Memory used [KB]: 4858
% 0.63/0.84  % (12428)Time elapsed: 0.026 s
% 0.63/0.84  % (12428)Instructions burned: 51 (million)
% 0.63/0.84  % (12428)------------------------------
% 0.63/0.84  % (12428)------------------------------
% 0.63/0.84  % (12437)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)
% 0.63/0.84  % (12439)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 (2995ds/518Mi)
% 0.63/0.84  % (12434)Instruction limit reached!
% 0.63/0.84  % (12434)------------------------------
% 0.63/0.84  % (12434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.84  % (12434)Termination reason: Unknown
% 0.63/0.84  % (12434)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (12434)Memory used [KB]: 4966
% 0.63/0.84  % (12434)Time elapsed: 0.030 s
% 0.63/0.84  % (12434)Instructions burned: 58 (million)
% 0.63/0.84  % (12434)------------------------------
% 0.63/0.84  % (12434)------------------------------
% 0.63/0.84  % (12438)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)
% 0.77/0.85  % (12435)Instruction limit reached!
% 0.77/0.85  % (12435)------------------------------
% 0.77/0.85  % (12435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.85  % (12435)Termination reason: Unknown
% 0.77/0.85  % (12435)Termination phase: Property scanning
% 0.77/0.85  
% 0.77/0.85  % (12435)Memory used [KB]: 5385
% 0.77/0.85  % (12435)Time elapsed: 0.020 s
% 0.77/0.85  % (12435)Instructions burned: 58 (million)
% 0.77/0.85  % (12435)------------------------------
% 0.77/0.85  % (12435)------------------------------
% 0.77/0.85  % (12440)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)
% 0.77/0.85  % (12429)Instruction limit reached!
% 0.77/0.85  % (12429)------------------------------
% 0.77/0.85  % (12429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.85  % (12429)Termination reason: Unknown
% 0.77/0.85  % (12429)Termination phase: Saturation
% 0.77/0.85  
% 0.77/0.85  % (12429)Memory used [KB]: 5511
% 0.77/0.85  % (12429)Time elapsed: 0.039 s
% 0.77/0.85  % (12429)Instructions burned: 78 (million)
% 0.77/0.85  % (12429)------------------------------
% 0.77/0.85  % (12429)------------------------------
% 0.77/0.85  % (12441)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)
% 0.77/0.86  % (12436)Instruction limit reached!
% 0.77/0.86  % (12436)------------------------------
% 0.77/0.86  % (12436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.86  % (12436)Termination reason: Unknown
% 0.77/0.86  % (12436)Termination phase: Preprocessing 2
% 0.77/0.86  
% 0.77/0.86  % (12436)Memory used [KB]: 4716
% 0.77/0.86  % (12436)Time elapsed: 0.026 s
% 0.77/0.86  % (12436)Instructions burned: 51 (million)
% 0.77/0.86  % (12436)------------------------------
% 0.77/0.86  % (12436)------------------------------
% 0.77/0.86  % (12442)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)
% 0.77/0.86  % (12443)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)
% 0.77/0.86  % (12433)Instruction limit reached!
% 0.77/0.86  % (12433)------------------------------
% 0.77/0.86  % (12433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.86  % (12433)Termination reason: Unknown
% 0.77/0.86  % (12433)Termination phase: Property scanning
% 0.77/0.86  
% 0.77/0.86  % (12433)Memory used [KB]: 6081
% 0.77/0.86  % (12433)Time elapsed: 0.049 s
% 0.77/0.86  % (12433)Instructions burned: 85 (million)
% 0.77/0.86  % (12433)------------------------------
% 0.77/0.86  % (12433)------------------------------
% 0.77/0.87  % (12444)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)
% 0.77/0.87  % (12440)Instruction limit reached!
% 0.77/0.87  % (12440)------------------------------
% 0.77/0.87  % (12440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.87  % (12440)Termination reason: Unknown
% 0.77/0.87  % (12440)Termination phase: Preprocessing 3
% 0.77/0.87  
% 0.77/0.87  % (12440)Memory used [KB]: 6274
% 0.77/0.87  % (12440)Time elapsed: 0.023 s
% 0.77/0.87  % (12440)Instructions burned: 43 (million)
% 0.77/0.87  % (12440)------------------------------
% 0.77/0.87  % (12440)------------------------------
% 0.77/0.87  % (12438)Instruction limit reached!
% 0.77/0.87  % (12438)------------------------------
% 0.77/0.87  % (12438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.87  % (12438)Termination reason: Unknown
% 0.77/0.87  % (12438)Termination phase: Naming
% 0.77/0.87  
% 0.77/0.87  % (12438)Memory used [KB]: 5752
% 0.77/0.87  % (12438)Time elapsed: 0.030 s
% 0.77/0.87  % (12438)Instructions burned: 52 (million)
% 0.77/0.87  % (12438)------------------------------
% 0.77/0.87  % (12438)------------------------------
% 0.77/0.87  % (12445)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)
% 0.77/0.88  % (12446)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)
% 0.77/0.88  % (12439)First to succeed.
% 0.77/0.88  % (12439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12425"
% 0.77/0.88  % (12439)Refutation found. Thanks to Tanya!
% 0.77/0.88  % SZS status Theorem for Vampire---4
% 0.77/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.88  % (12439)------------------------------
% 0.77/0.88  % (12439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.88  % (12439)Termination reason: Refutation
% 0.77/0.88  
% 0.77/0.88  % (12439)Memory used [KB]: 5196
% 0.77/0.88  % (12439)Time elapsed: 0.039 s
% 0.77/0.88  % (12439)Instructions burned: 86 (million)
% 0.77/0.88  % (12425)Success in time 0.534 s
% 0.77/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------