TSTP Solution File: LAT330+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT330+1 : 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 : n032.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 : Wed May  1 03:08:48 EDT 2024

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  178 (  15 unt;   0 def)
%            Number of atoms       :  790 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 1043 ( 431   ~; 469   |;  91   &)
%                                         (  19 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;  10 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :  215 ( 203   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1385,plain,
    $false,
    inference(avatar_sat_refutation,[],[f491,f500,f502,f612,f683,f1050,f1110,f1121,f1122,f1132,f1211,f1384]) ).

fof(f1384,plain,
    ( ~ spl20_6
    | spl20_8
    | ~ spl20_17
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

fof(f1383,plain,
    ( $false
    | ~ spl20_6
    | spl20_8
    | ~ spl20_17
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1377,f490]) ).

fof(f490,plain,
    ( m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl20_6
  <=> m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f1377,plain,
    ( ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ spl20_6
    | spl20_8
    | ~ spl20_17
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(resolution,[],[f1261,f433]) ).

fof(f433,plain,
    ! [X0] :
      ( r3_lattices(sK0,k5_lattices(sK0),X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f432,f172]) ).

fof(f172,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    & v13_lattices(sK0)
    & m1_subset_1(sK1,u1_struct_0(sK0))
    & l3_lattices(sK0)
    & v10_lattices(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f62,f125,f124]) ).

fof(f124,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
            & v13_lattices(X0)
            & m1_subset_1(X1,u1_struct_0(X0)) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,X1),k22_filter_2(sK0,k5_lattices(sK0),X1))
          & v13_lattices(sK0)
          & m1_subset_1(X1,u1_struct_0(sK0)) )
      & l3_lattices(sK0)
      & v10_lattices(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,X1),k22_filter_2(sK0,k5_lattices(sK0),X1))
        & v13_lattices(sK0)
        & m1_subset_1(X1,u1_struct_0(sK0)) )
   => ( ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1))
      & v13_lattices(sK0)
      & m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
          & v13_lattices(X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1))
          & v13_lattices(X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ( v13_lattices(X0)
             => r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( v13_lattices(X0)
           => r1_filter_2(u1_struct_0(X0),k18_filter_2(X0,X1),k22_filter_2(X0,k5_lattices(X0),X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',t67_filter_2) ).

fof(f432,plain,
    ! [X0] :
      ( r3_lattices(sK0,k5_lattices(sK0),X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f431,f173]) ).

fof(f173,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f431,plain,
    ! [X0] :
      ( r3_lattices(sK0,k5_lattices(sK0),X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f430,f174]) ).

fof(f174,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f430,plain,
    ! [X0] :
      ( r3_lattices(sK0,k5_lattices(sK0),X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ l3_lattices(sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f176,f246]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( r3_lattices(X0,k5_lattices(X0),X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v13_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( r3_lattices(X0,k5_lattices(X0),X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v13_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( r3_lattices(X0,k5_lattices(X0),X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v13_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v13_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => r3_lattices(X0,k5_lattices(X0),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',t41_lattices) ).

fof(f176,plain,
    v13_lattices(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f1261,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ spl20_6
    | spl20_8
    | ~ spl20_17
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1260,f1037]) ).

fof(f1037,plain,
    ( m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | ~ spl20_17 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1036,plain,
    ( spl20_17
  <=> m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).

fof(f1260,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | ~ spl20_6
    | spl20_8
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1259,f175]) ).

fof(f175,plain,
    m1_subset_1(sK1,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f126]) ).

fof(f1259,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | ~ spl20_6
    | spl20_8
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1258,f490]) ).

fof(f1258,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_8
    | ~ spl20_18
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1257,f1041]) ).

fof(f1041,plain,
    ( r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ spl20_18 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl20_18
  <=> r3_lattices(sK0,k5_lattices(sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

fof(f1257,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_8
    | ~ spl20_20 ),
    inference(subsumption_resolution,[],[f1252,f1120]) ).

fof(f1120,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ spl20_20 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1118,plain,
    ( spl20_20
  <=> r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f1252,plain,
    ( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)))
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_8 ),
    inference(resolution,[],[f498,f427]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X0,k22_filter_2(sK0,X1,X2))
      | ~ r3_lattices(sK0,X0,X2)
      | ~ r3_lattices(sK0,X1,X0)
      | ~ r3_lattices(sK0,X1,X2)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f426,f172]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X0,k22_filter_2(sK0,X1,X2))
      | ~ r3_lattices(sK0,X0,X2)
      | ~ r3_lattices(sK0,X1,X0)
      | ~ r3_lattices(sK0,X1,X2)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f359,f173]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X0,k22_filter_2(sK0,X1,X2))
      | ~ r3_lattices(sK0,X0,X2)
      | ~ r3_lattices(sK0,X1,X0)
      | ~ r3_lattices(sK0,X1,X2)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f251]) ).

fof(f251,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
      | ~ r3_lattices(X0,X3,X2)
      | ~ r3_lattices(X0,X1,X3)
      | ~ r3_lattices(X0,X1,X2)
      | ~ m1_subset_1(X3,u1_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,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                      | ~ r3_lattices(X0,X3,X2)
                      | ~ r3_lattices(X0,X1,X3) )
                    & ( ( r3_lattices(X0,X3,X2)
                        & r3_lattices(X0,X1,X3) )
                      | ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_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,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                      | ~ r3_lattices(X0,X3,X2)
                      | ~ r3_lattices(X0,X1,X3) )
                    & ( ( r3_lattices(X0,X3,X2)
                        & r3_lattices(X0,X1,X3) )
                      | ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_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(nnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                  <=> ( r3_lattices(X0,X3,X2)
                      & r3_lattices(X0,X1,X3) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_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,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                  <=> ( r3_lattices(X0,X3,X2)
                      & r3_lattices(X0,X1,X3) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_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,[],[f54]) ).

fof(f54,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))
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X0))
                 => ( r3_lattices(X0,X1,X2)
                   => ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                    <=> ( r3_lattices(X0,X3,X2)
                        & r3_lattices(X0,X1,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',t63_filter_2) ).

fof(f498,plain,
    ( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    | spl20_8 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl20_8
  <=> r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f1211,plain,
    ( spl20_20
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(avatar_split_clause,[],[f1210,f493,f488,f1118]) ).

fof(f493,plain,
    ( spl20_7
  <=> r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f1210,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(subsumption_resolution,[],[f1209,f490]) ).

fof(f1209,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ spl20_7 ),
    inference(subsumption_resolution,[],[f1199,f175]) ).

fof(f1199,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ spl20_7 ),
    inference(resolution,[],[f495,f419]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,k18_filter_2(sK0,X1))
      | r3_lattices(sK0,X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f418,f172]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( r3_lattices(sK0,X0,X1)
      | ~ r2_hidden(X0,k18_filter_2(sK0,X1))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f354,f173]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( r3_lattices(sK0,X0,X1)
      | ~ r2_hidden(X0,k18_filter_2(sK0,X1))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f240]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( r3_lattices(X0,X1,X2)
      | ~ r2_hidden(X1,k18_filter_2(X0,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,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r2_hidden(X1,k18_filter_2(X0,X2))
                  | ~ r3_lattices(X0,X1,X2) )
                & ( r3_lattices(X0,X1,X2)
                  | ~ r2_hidden(X1,k18_filter_2(X0,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(nnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X1,k18_filter_2(X0,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,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X1,k18_filter_2(X0,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,[],[f47]) ).

fof(f47,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))
             => ( r2_hidden(X1,k18_filter_2(X0,X2))
              <=> r3_lattices(X0,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',t29_filter_2) ).

fof(f495,plain,
    ( r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1132,plain,
    ~ spl20_3,
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1131,plain,
    ( $false
    | ~ spl20_3 ),
    inference(subsumption_resolution,[],[f1130,f172]) ).

fof(f1130,plain,
    ( v3_struct_0(sK0)
    | ~ spl20_3 ),
    inference(subsumption_resolution,[],[f1123,f470]) ).

fof(f470,plain,
    l1_struct_0(sK0),
    inference(resolution,[],[f341,f199]) ).

fof(f199,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_l2_lattices) ).

fof(f341,plain,
    l2_lattices(sK0),
    inference(resolution,[],[f174,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( l2_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_l3_lattices) ).

fof(f1123,plain,
    ( ~ l1_struct_0(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3 ),
    inference(resolution,[],[f478,f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ( l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',fc1_struct_0) ).

fof(f478,plain,
    ( v1_xboole_0(u1_struct_0(sK0))
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl20_3
  <=> v1_xboole_0(u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f1122,plain,
    ( ~ spl20_6
    | ~ spl20_20
    | spl20_7 ),
    inference(avatar_split_clause,[],[f955,f493,f1118,f488]) ).

fof(f955,plain,
    ( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | spl20_7 ),
    inference(subsumption_resolution,[],[f951,f175]) ).

fof(f951,plain,
    ( ~ r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | spl20_7 ),
    inference(resolution,[],[f421,f494]) ).

fof(f494,plain,
    ( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
    | spl20_7 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f421,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,k18_filter_2(sK0,X1))
      | ~ r3_lattices(sK0,X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f420,f172]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,k18_filter_2(sK0,X1))
      | ~ r3_lattices(sK0,X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f355,f173]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,k18_filter_2(sK0,X1))
      | ~ r3_lattices(sK0,X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f241]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X1,k18_filter_2(X0,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,[],[f166]) ).

fof(f1121,plain,
    ( ~ spl20_6
    | ~ spl20_18
    | spl20_20
    | ~ spl20_8
    | ~ spl20_17 ),
    inference(avatar_split_clause,[],[f1116,f1036,f497,f1118,f1040,f488]) ).

fof(f1116,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ spl20_8
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f1115,f1037]) ).

fof(f1115,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | ~ spl20_8 ),
    inference(subsumption_resolution,[],[f1025,f175]) ).

fof(f1025,plain,
    ( r3_lattices(sK0,sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),sK1)
    | ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | ~ m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | ~ spl20_8 ),
    inference(resolution,[],[f425,f499]) ).

fof(f499,plain,
    ( r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X0,k22_filter_2(sK0,X2,X1))
      | r3_lattices(sK0,X0,X1)
      | ~ r3_lattices(sK0,X2,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f424,f172]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( r3_lattices(sK0,X0,X1)
      | ~ r2_hidden(X0,k22_filter_2(sK0,X2,X1))
      | ~ r3_lattices(sK0,X2,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f358,f173]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( r3_lattices(sK0,X0,X1)
      | ~ r2_hidden(X0,k22_filter_2(sK0,X2,X1))
      | ~ r3_lattices(sK0,X2,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X2,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f250]) ).

fof(f250,plain,
    ! [X2,X3,X0,X1] :
      ( r3_lattices(X0,X3,X2)
      | ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
      | ~ r3_lattices(X0,X1,X2)
      | ~ m1_subset_1(X3,u1_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,[],[f171]) ).

fof(f1110,plain,
    spl20_18,
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | spl20_18 ),
    inference(subsumption_resolution,[],[f1103,f175]) ).

fof(f1103,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | spl20_18 ),
    inference(resolution,[],[f1042,f433]) ).

fof(f1042,plain,
    ( ~ r3_lattices(sK0,k5_lattices(sK0),sK1)
    | spl20_18 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1050,plain,
    spl20_17,
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1049,plain,
    ( $false
    | spl20_17 ),
    inference(subsumption_resolution,[],[f1048,f172]) ).

fof(f1048,plain,
    ( v3_struct_0(sK0)
    | spl20_17 ),
    inference(subsumption_resolution,[],[f1045,f340]) ).

fof(f340,plain,
    l1_lattices(sK0),
    inference(resolution,[],[f174,f200]) ).

fof(f200,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f1045,plain,
    ( ~ l1_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_17 ),
    inference(resolution,[],[f1038,f197]) ).

fof(f197,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ( l1_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_k5_lattices) ).

fof(f1038,plain,
    ( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_17 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f683,plain,
    spl20_5,
    inference(avatar_contradiction_clause,[],[f682]) ).

fof(f682,plain,
    ( $false
    | spl20_5 ),
    inference(subsumption_resolution,[],[f681,f172]) ).

fof(f681,plain,
    ( v3_struct_0(sK0)
    | spl20_5 ),
    inference(subsumption_resolution,[],[f678,f340]) ).

fof(f678,plain,
    ( ~ l1_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_5 ),
    inference(resolution,[],[f677,f197]) ).

fof(f677,plain,
    ( ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_5 ),
    inference(subsumption_resolution,[],[f675,f175]) ).

fof(f675,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0))
    | spl20_5 ),
    inference(resolution,[],[f380,f655]) ).

fof(f655,plain,
    ( ~ m2_lattice4(k22_filter_2(sK0,k5_lattices(sK0),sK1),sK0)
    | spl20_5 ),
    inference(resolution,[],[f486,f386]) ).

fof(f386,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0) ),
    inference(subsumption_resolution,[],[f385,f172]) ).

fof(f385,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f344,f173]) ).

fof(f344,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_m2_lattice4) ).

fof(f486,plain,
    ( ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | spl20_5 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl20_5
  <=> m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( m2_lattice4(k22_filter_2(sK0,X0,X1),sK0)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f379,f172]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( m2_lattice4(k22_filter_2(sK0,X0,X1),sK0)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f339,f173]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( m2_lattice4(k22_filter_2(sK0,X0,X1),sK0)
      | ~ m1_subset_1(X1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f196]) ).

fof(f196,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,[],[f74]) ).

fof(f74,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,[],[f73]) ).

fof(f73,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,[],[f12]) ).

fof(f12,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/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_k22_filter_2) ).

fof(f612,plain,
    spl20_4,
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f611,plain,
    ( $false
    | spl20_4 ),
    inference(subsumption_resolution,[],[f609,f175]) ).

fof(f609,plain,
    ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | spl20_4 ),
    inference(resolution,[],[f604,f376]) ).

fof(f376,plain,
    ! [X0] :
      ( m2_filter_2(k18_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f375,f172]) ).

fof(f375,plain,
    ! [X0] :
      ( m2_filter_2(k18_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f337,f173]) ).

fof(f337,plain,
    ! [X0] :
      ( m2_filter_2(k18_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( m2_filter_2(k18_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( m2_filter_2(k18_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( m2_filter_2(k18_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,u1_struct_0(X0))
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(k18_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_k18_filter_2) ).

fof(f604,plain,
    ( ~ m2_filter_2(k18_filter_2(sK0,sK1),sK0)
    | spl20_4 ),
    inference(resolution,[],[f579,f384]) ).

fof(f384,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0) ),
    inference(subsumption_resolution,[],[f383,f172]) ).

fof(f383,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f343,f173]) ).

fof(f343,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f174,f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',dt_m2_filter_2) ).

fof(f579,plain,
    ( ~ m2_lattice4(k18_filter_2(sK0,sK1),sK0)
    | spl20_4 ),
    inference(resolution,[],[f386,f482]) ).

fof(f482,plain,
    ( ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | spl20_4 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl20_4
  <=> m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f502,plain,
    ( ~ spl20_4
    | ~ spl20_5
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(avatar_split_clause,[],[f501,f497,f493,f484,f480]) ).

fof(f501,plain,
    ( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    | ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
    | ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(subsumption_resolution,[],[f474,f248]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( ~ v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ~ v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,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.MSB1q2oZOP/Vampire---4.8_28658',t5_subset) ).

fof(f474,plain,
    ( ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    | ~ r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
    | ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(u1_struct_0(sK0)) ),
    inference(resolution,[],[f177,f192]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( r1_filter_2(X0,X1,X2)
      | ~ r2_hidden(sK2(X0,X1,X2),X2)
      | ~ r2_hidden(sK2(X0,X1,X2),X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_filter_2(X0,X1,X2)
                  | ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
                      | ~ r2_hidden(sK2(X0,X1,X2),X1) )
                    & ( r2_hidden(sK2(X0,X1,X2),X2)
                      | r2_hidden(sK2(X0,X1,X2),X1) )
                    & m1_subset_1(sK2(X0,X1,X2),X0) ) )
                & ( ! [X4] :
                      ( ( ( r2_hidden(X4,X1)
                          | ~ r2_hidden(X4,X2) )
                        & ( r2_hidden(X4,X2)
                          | ~ r2_hidden(X4,X1) ) )
                      | ~ m1_subset_1(X4,X0) )
                  | ~ r1_filter_2(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f129,f130]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ r2_hidden(X3,X2)
            | ~ r2_hidden(X3,X1) )
          & ( r2_hidden(X3,X2)
            | r2_hidden(X3,X1) )
          & m1_subset_1(X3,X0) )
     => ( ( ~ r2_hidden(sK2(X0,X1,X2),X2)
          | ~ r2_hidden(sK2(X0,X1,X2),X1) )
        & ( r2_hidden(sK2(X0,X1,X2),X2)
          | r2_hidden(sK2(X0,X1,X2),X1) )
        & m1_subset_1(sK2(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_filter_2(X0,X1,X2)
                  | ? [X3] :
                      ( ( ~ r2_hidden(X3,X2)
                        | ~ r2_hidden(X3,X1) )
                      & ( r2_hidden(X3,X2)
                        | r2_hidden(X3,X1) )
                      & m1_subset_1(X3,X0) ) )
                & ( ! [X4] :
                      ( ( ( r2_hidden(X4,X1)
                          | ~ r2_hidden(X4,X2) )
                        & ( r2_hidden(X4,X2)
                          | ~ r2_hidden(X4,X1) ) )
                      | ~ m1_subset_1(X4,X0) )
                  | ~ r1_filter_2(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_filter_2(X0,X1,X2)
                  | ? [X3] :
                      ( ( ~ r2_hidden(X3,X2)
                        | ~ r2_hidden(X3,X1) )
                      & ( r2_hidden(X3,X2)
                        | r2_hidden(X3,X1) )
                      & m1_subset_1(X3,X0) ) )
                & ( ! [X3] :
                      ( ( ( r2_hidden(X3,X1)
                          | ~ r2_hidden(X3,X2) )
                        & ( r2_hidden(X3,X2)
                          | ~ r2_hidden(X3,X1) ) )
                      | ~ m1_subset_1(X3,X0) )
                  | ~ r1_filter_2(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_filter_2(X0,X1,X2)
                  | ? [X3] :
                      ( ( ~ r2_hidden(X3,X2)
                        | ~ r2_hidden(X3,X1) )
                      & ( r2_hidden(X3,X2)
                        | r2_hidden(X3,X1) )
                      & m1_subset_1(X3,X0) ) )
                & ( ! [X3] :
                      ( ( ( r2_hidden(X3,X1)
                          | ~ r2_hidden(X3,X2) )
                        & ( r2_hidden(X3,X2)
                          | ~ r2_hidden(X3,X1) ) )
                      | ~ m1_subset_1(X3,X0) )
                  | ~ r1_filter_2(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_filter_2(X0,X1,X2)
              <=> ! [X3] :
                    ( ( r2_hidden(X3,X1)
                    <=> r2_hidden(X3,X2) )
                    | ~ m1_subset_1(X3,X0) ) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(X0))
         => ! [X2] :
              ( m1_subset_1(X2,k1_zfmisc_1(X0))
             => ( r1_filter_2(X0,X1,X2)
              <=> ! [X3] :
                    ( m1_subset_1(X3,X0)
                   => ( r2_hidden(X3,X1)
                    <=> r2_hidden(X3,X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MSB1q2oZOP/Vampire---4.8_28658',d1_filter_2) ).

fof(f177,plain,
    ~ r1_filter_2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),
    inference(cnf_transformation,[],[f126]) ).

fof(f500,plain,
    ( spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | spl20_7
    | spl20_8 ),
    inference(avatar_split_clause,[],[f473,f497,f493,f484,f480,f476]) ).

fof(f473,plain,
    ( r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k22_filter_2(sK0,k5_lattices(sK0),sK1))
    | r2_hidden(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),k18_filter_2(sK0,sK1))
    | ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(u1_struct_0(sK0)) ),
    inference(resolution,[],[f177,f191]) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( r1_filter_2(X0,X1,X2)
      | r2_hidden(sK2(X0,X1,X2),X2)
      | r2_hidden(sK2(X0,X1,X2),X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f491,plain,
    ( spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | spl20_6 ),
    inference(avatar_split_clause,[],[f472,f488,f484,f480,f476]) ).

fof(f472,plain,
    ( m1_subset_1(sK2(u1_struct_0(sK0),k18_filter_2(sK0,sK1),k22_filter_2(sK0,k5_lattices(sK0),sK1)),u1_struct_0(sK0))
    | ~ m1_subset_1(k22_filter_2(sK0,k5_lattices(sK0),sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ m1_subset_1(k18_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(u1_struct_0(sK0)) ),
    inference(resolution,[],[f177,f190]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( r1_filter_2(X0,X1,X2)
      | m1_subset_1(sK2(X0,X1,X2),X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LAT330+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11  % 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
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 16:33:36 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30  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.MSB1q2oZOP/Vampire---4.8_28658
% 0.43/0.60  % (29065)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 (2997ds/34Mi)
% 0.43/0.60  % (29072)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 (2997ds/56Mi)
% 0.43/0.60  % (29071)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 (2997ds/83Mi)
% 0.43/0.60  % (29069)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 (2997ds/34Mi)
% 0.43/0.60  % (29070)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.43/0.60  % (29067)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.43/0.60  % (29066)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 (2997ds/51Mi)
% 0.43/0.60  % (29068)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.43/0.60  % (29070)Refutation not found, incomplete strategy% (29070)------------------------------
% 0.43/0.60  % (29070)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.60  % (29070)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.60  
% 0.43/0.60  % (29070)Memory used [KB]: 1128
% 0.43/0.60  % (29070)Time elapsed: 0.005 s
% 0.43/0.60  % (29070)Instructions burned: 5 (million)
% 0.43/0.60  % (29070)------------------------------
% 0.43/0.60  % (29070)------------------------------
% 0.43/0.61  % (29068)Refutation not found, incomplete strategy% (29068)------------------------------
% 0.43/0.61  % (29068)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61  % (29068)Termination reason: Refutation not found, incomplete strategy
% 0.43/0.61  
% 0.43/0.61  % (29068)Memory used [KB]: 1153
% 0.43/0.61  % (29068)Time elapsed: 0.009 s
% 0.43/0.61  % (29068)Instructions burned: 12 (million)
% 0.43/0.61  % (29068)------------------------------
% 0.43/0.61  % (29068)------------------------------
% 0.43/0.61  % (29077)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 (2997ds/55Mi)
% 0.43/0.61  % (29065)Instruction limit reached!
% 0.43/0.61  % (29065)------------------------------
% 0.43/0.61  % (29065)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61  % (29065)Termination reason: Unknown
% 0.43/0.61  % (29065)Termination phase: Saturation
% 0.43/0.61  
% 0.43/0.61  % (29065)Memory used [KB]: 1327
% 0.43/0.61  % (29065)Time elapsed: 0.013 s
% 0.43/0.61  % (29065)Instructions burned: 36 (million)
% 0.43/0.61  % (29065)------------------------------
% 0.43/0.61  % (29065)------------------------------
% 0.43/0.61  % (29069)First to succeed.
% 0.43/0.61  % (29072)Instruction limit reached!
% 0.43/0.61  % (29072)------------------------------
% 0.43/0.61  % (29072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61  % (29080)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 (2997ds/50Mi)
% 0.43/0.61  % (29072)Termination reason: Unknown
% 0.43/0.61  % (29072)Termination phase: Saturation
% 0.43/0.61  
% 0.43/0.61  % (29072)Memory used [KB]: 1416
% 0.43/0.61  % (29072)Time elapsed: 0.014 s
% 0.43/0.61  % (29072)Instructions burned: 56 (million)
% 0.43/0.61  % (29072)------------------------------
% 0.43/0.61  % (29072)------------------------------
% 0.43/0.61  % (29083)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 (2997ds/208Mi)
% 0.43/0.61  % (29069)Refutation found. Thanks to Tanya!
% 0.43/0.61  % SZS status Theorem for Vampire---4
% 0.43/0.61  % SZS output start Proof for Vampire---4
% See solution above
% 0.43/0.61  % (29069)------------------------------
% 0.43/0.61  % (29069)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.43/0.61  % (29069)Termination reason: Refutation
% 0.43/0.61  
% 0.43/0.61  % (29069)Memory used [KB]: 1315
% 0.43/0.61  % (29069)Time elapsed: 0.015 s
% 0.43/0.61  % (29069)Instructions burned: 32 (million)
% 0.43/0.61  % (29069)------------------------------
% 0.43/0.61  % (29069)------------------------------
% 0.43/0.61  % (28919)Success in time 0.299 s
% 0.43/0.61  % Vampire---4.8 exiting
%------------------------------------------------------------------------------