TSTP Solution File: LAT331+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT331+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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:23:58 EDT 2024

% Result   : Theorem 1.03s 0.97s
% Output   : Refutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  266 (  25 unt;   0 def)
%            Number of atoms       : 1123 ( 137 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives : 1406 ( 549   ~; 589   |; 212   &)
%                                         (  30 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   36 (  34 usr;  22 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :  281 ( 241   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2443,plain,
    $false,
    inference(avatar_sat_refutation,[],[f405,f457,f461,f470,f492,f500,f508,f615,f624,f632,f660,f682,f701,f732,f1364,f1372,f1755,f1939,f1954,f1978,f2071,f2442]) ).

fof(f2442,plain,
    ( ~ spl32_12
    | ~ spl32_13
    | ~ spl32_86
    | spl32_87 ),
    inference(avatar_contradiction_clause,[],[f2441]) ).

fof(f2441,plain,
    ( $false
    | ~ spl32_12
    | ~ spl32_13
    | ~ spl32_86
    | spl32_87 ),
    inference(subsumption_resolution,[],[f2437,f1737]) ).

fof(f1737,plain,
    ( sP1(sK4,sK6,k8_filter_0(sK4,sK6))
    | ~ spl32_86 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1736,plain,
    ( spl32_86
  <=> sP1(sK4,sK6,k8_filter_0(sK4,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).

fof(f2437,plain,
    ( ~ sP1(sK4,sK6,k8_filter_0(sK4,sK6))
    | ~ spl32_12
    | ~ spl32_13
    | spl32_87 ),
    inference(resolution,[],[f2432,f385]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( sP0(k8_filter_0(X0,X1),X1,X0)
      | ~ sP1(X0,X1,k8_filter_0(X0,X1)) ),
    inference(equality_resolution,[],[f249]) ).

fof(f249,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X1,X0)
      | k8_filter_0(X0,X1) != X2
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1,X2] :
      ( ( ( k8_filter_0(X0,X1) = X2
          | ~ sP0(X2,X1,X0) )
        & ( sP0(X2,X1,X0)
          | k8_filter_0(X0,X1) != X2 ) )
      | ~ sP1(X0,X1,X2) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1,X2] :
      ( ( k8_filter_0(X0,X1) = X2
      <=> sP0(X2,X1,X0) )
      | ~ sP1(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2432,plain,
    ( ~ sP0(k8_filter_0(sK4,sK6),sK6,sK4)
    | ~ spl32_12
    | ~ spl32_13
    | spl32_87 ),
    inference(resolution,[],[f2424,f1742]) ).

fof(f1742,plain,
    ( ~ sP0(k8_filter_0(sK4,sK6),sK6,sK3)
    | spl32_87 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f1740,plain,
    ( spl32_87
  <=> sP0(k8_filter_0(sK4,sK6),sK6,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).

fof(f2424,plain,
    ( ! [X0,X1] :
        ( sP0(X1,X0,sK3)
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12
    | ~ spl32_13 ),
    inference(duplicate_literal_removal,[],[f2423]) ).

fof(f2423,plain,
    ( ! [X0,X1] :
        ( sP0(X1,X0,sK3)
        | ~ sP0(X1,X0,sK4)
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12
    | ~ spl32_13 ),
    inference(superposition,[],[f1421,f1386]) ).

fof(f1386,plain,
    ( ! [X0,X1] :
        ( g3_lattices(X1,k1_realset1(u2_lattices(sK3),X1),sK8(X0,X1,sK4)) = X0
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(duplicate_literal_removal,[],[f1380]) ).

fof(f1380,plain,
    ( ! [X0,X1] :
        ( g3_lattices(X1,k1_realset1(u2_lattices(sK3),X1),sK8(X0,X1,sK4)) = X0
        | ~ sP0(X0,X1,sK4)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(superposition,[],[f259,f839]) ).

fof(f839,plain,
    ( ! [X0,X1] :
        ( sK7(X1,X0,sK4) = k1_realset1(u2_lattices(sK3),X0)
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12 ),
    inference(superposition,[],[f257,f718]) ).

fof(f718,plain,
    ( u2_lattices(sK3) = u2_lattices(sK4)
    | ~ spl32_12 ),
    inference(equality_resolution,[],[f456]) ).

fof(f456,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
        | u2_lattices(sK4) = X1 )
    | ~ spl32_12 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f455,plain,
    ( spl32_12
  <=> ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
        | u2_lattices(sK4) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).

fof(f257,plain,
    ! [X2,X0,X1] :
      ( k1_realset1(u2_lattices(X2),X1) = sK7(X0,X1,X2)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ! [X3] :
            ( ! [X4] :
                ( g3_lattices(X1,X3,X4) != X0
                | k1_realset1(u1_lattices(X2),X1) != X4
                | k1_realset1(u2_lattices(X2),X1) != X3
                | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_1(X4) )
            | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_1(X3) ) )
      & ( ( g3_lattices(X1,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X0
          & k1_realset1(u1_lattices(X2),X1) = sK8(X0,X1,X2)
          & k1_realset1(u2_lattices(X2),X1) = sK7(X0,X1,X2)
          & m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
          & v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
          & v1_funct_1(sK8(X0,X1,X2))
          & m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
          & v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
          & v1_funct_1(sK7(X0,X1,X2)) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f178,f180,f179]) ).

fof(f179,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( ? [X6] :
              ( g3_lattices(X1,X5,X6) = X0
              & k1_realset1(u1_lattices(X2),X1) = X6
              & k1_realset1(u2_lattices(X2),X1) = X5
              & m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
              & v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
              & v1_funct_1(X6) )
          & m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_1(X5) )
     => ( ? [X6] :
            ( g3_lattices(X1,sK7(X0,X1,X2),X6) = X0
            & k1_realset1(u1_lattices(X2),X1) = X6
            & k1_realset1(u2_lattices(X2),X1) = sK7(X0,X1,X2)
            & m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_1(X6) )
        & m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
        & v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(sK7(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f180,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( g3_lattices(X1,sK7(X0,X1,X2),X6) = X0
          & k1_realset1(u1_lattices(X2),X1) = X6
          & k1_realset1(u2_lattices(X2),X1) = sK7(X0,X1,X2)
          & m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_1(X6) )
     => ( g3_lattices(X1,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X0
        & k1_realset1(u1_lattices(X2),X1) = sK8(X0,X1,X2)
        & k1_realset1(u2_lattices(X2),X1) = sK7(X0,X1,X2)
        & m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
        & v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(sK8(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ! [X3] :
            ( ! [X4] :
                ( g3_lattices(X1,X3,X4) != X0
                | k1_realset1(u1_lattices(X2),X1) != X4
                | k1_realset1(u2_lattices(X2),X1) != X3
                | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_1(X4) )
            | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_1(X3) ) )
      & ( ? [X5] :
            ( ? [X6] :
                ( g3_lattices(X1,X5,X6) = X0
                & k1_realset1(u1_lattices(X2),X1) = X6
                & k1_realset1(u2_lattices(X2),X1) = X5
                & m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
                & v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
                & v1_funct_1(X6) )
            & m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_1(X5) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f177]) ).

fof(f177,plain,
    ! [X2,X1,X0] :
      ( ( sP0(X2,X1,X0)
        | ! [X3] :
            ( ! [X4] :
                ( g3_lattices(X1,X3,X4) != X2
                | k1_realset1(u1_lattices(X0),X1) != X4
                | k1_realset1(u2_lattices(X0),X1) != X3
                | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                | ~ v1_funct_1(X4) )
            | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
            | ~ v1_funct_1(X3) ) )
      & ( ? [X3] :
            ( ? [X4] :
                ( g3_lattices(X1,X3,X4) = X2
                & k1_realset1(u1_lattices(X0),X1) = X4
                & k1_realset1(u2_lattices(X0),X1) = X3
                & m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                & v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                & v1_funct_1(X4) )
            & m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
            & v1_funct_1(X3) )
        | ~ sP0(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X2,X1,X0] :
      ( sP0(X2,X1,X0)
    <=> ? [X3] :
          ( ? [X4] :
              ( g3_lattices(X1,X3,X4) = X2
              & k1_realset1(u1_lattices(X0),X1) = X4
              & k1_realset1(u2_lattices(X0),X1) = X3
              & m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
              & v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
              & v1_funct_1(X4) )
          & m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
          & v1_funct_1(X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f259,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(X1,sK7(X0,X1,X2),sK8(X0,X1,X2)) = X0
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1421,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1420,f1390]) ).

fof(f1390,plain,
    ( ! [X0,X1] :
        ( v1_funct_1(k1_realset1(u2_lattices(sK3),X1))
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(duplicate_literal_removal,[],[f1376]) ).

fof(f1376,plain,
    ( ! [X0,X1] :
        ( v1_funct_1(k1_realset1(u2_lattices(sK3),X1))
        | ~ sP0(X0,X1,sK4)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(superposition,[],[f251,f839]) ).

fof(f251,plain,
    ! [X2,X0,X1] :
      ( v1_funct_1(sK7(X0,X1,X2))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1420,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1419,f1389]) ).

fof(f1389,plain,
    ( ! [X0,X1] :
        ( v1_funct_2(k1_realset1(u2_lattices(sK3),X1),k2_zfmisc_1(X1,X1),X1)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(duplicate_literal_removal,[],[f1377]) ).

fof(f1377,plain,
    ( ! [X0,X1] :
        ( v1_funct_2(k1_realset1(u2_lattices(sK3),X1),k2_zfmisc_1(X1,X1),X1)
        | ~ sP0(X0,X1,sK4)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(superposition,[],[f252,f839]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( v1_funct_2(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1419,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ v1_funct_2(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_12
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1418,f1388]) ).

fof(f1388,plain,
    ( ! [X0,X1] :
        ( m2_relset_1(k1_realset1(u2_lattices(sK3),X1),k2_zfmisc_1(X1,X1),X1)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(duplicate_literal_removal,[],[f1378]) ).

fof(f1378,plain,
    ( ! [X0,X1] :
        ( m2_relset_1(k1_realset1(u2_lattices(sK3),X1),k2_zfmisc_1(X1,X1),X1)
        | ~ sP0(X0,X1,sK4)
        | ~ sP0(X0,X1,sK4) )
    | ~ spl32_12 ),
    inference(superposition,[],[f253,f839]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( m2_relset_1(sK7(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1418,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ m2_relset_1(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_2(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1417,f254]) ).

fof(f254,plain,
    ! [X2,X0,X1] :
      ( v1_funct_1(sK8(X0,X1,X2))
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1417,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ v1_funct_1(sK8(X1,X0,sK4))
        | ~ m2_relset_1(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_2(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1416,f255]) ).

fof(f255,plain,
    ! [X2,X0,X1] :
      ( v1_funct_2(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1416,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ v1_funct_2(sK8(X1,X0,sK4),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(sK8(X1,X0,sK4))
        | ~ m2_relset_1(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_2(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_13 ),
    inference(subsumption_resolution,[],[f1401,f256]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( m2_relset_1(sK8(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f1401,plain,
    ( ! [X0,X1] :
        ( sP0(g3_lattices(X0,k1_realset1(u2_lattices(sK3),X0),sK8(X1,X0,sK4)),X0,sK3)
        | ~ m2_relset_1(sK8(X1,X0,sK4),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_2(sK8(X1,X0,sK4),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(sK8(X1,X0,sK4))
        | ~ m2_relset_1(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_2(k1_realset1(u2_lattices(sK3),X0),k2_zfmisc_1(X0,X0),X0)
        | ~ v1_funct_1(k1_realset1(u2_lattices(sK3),X0))
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_13 ),
    inference(superposition,[],[f388,f869]) ).

fof(f869,plain,
    ( ! [X0,X1] :
        ( k1_realset1(u1_lattices(sK3),X0) = sK8(X1,X0,sK4)
        | ~ sP0(X1,X0,sK4) )
    | ~ spl32_13 ),
    inference(superposition,[],[f258,f724]) ).

fof(f724,plain,
    ( u1_lattices(sK3) = u1_lattices(sK4)
    | ~ spl32_13 ),
    inference(equality_resolution,[],[f460]) ).

fof(f460,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
        | u1_lattices(sK4) = X2 )
    | ~ spl32_13 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl32_13
  <=> ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
        | u1_lattices(sK4) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).

fof(f258,plain,
    ! [X2,X0,X1] :
      ( k1_realset1(u1_lattices(X2),X1) = sK8(X0,X1,X2)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f388,plain,
    ! [X2,X1] :
      ( sP0(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)),X1,X2)
      | ~ m2_relset_1(k1_realset1(u1_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(k1_realset1(u1_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(k1_realset1(u1_lattices(X2),X1))
      | ~ m2_relset_1(k1_realset1(u2_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(k1_realset1(u2_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(k1_realset1(u2_lattices(X2),X1)) ),
    inference(equality_resolution,[],[f387]) ).

fof(f387,plain,
    ! [X2,X3,X1] :
      ( sP0(g3_lattices(X1,X3,k1_realset1(u1_lattices(X2),X1)),X1,X2)
      | k1_realset1(u2_lattices(X2),X1) != X3
      | ~ m2_relset_1(k1_realset1(u1_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(k1_realset1(u1_lattices(X2),X1),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(k1_realset1(u1_lattices(X2),X1))
      | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X3) ),
    inference(equality_resolution,[],[f386]) ).

fof(f386,plain,
    ! [X2,X3,X1,X4] :
      ( sP0(g3_lattices(X1,X3,X4),X1,X2)
      | k1_realset1(u1_lattices(X2),X1) != X4
      | k1_realset1(u2_lattices(X2),X1) != X3
      | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X4)
      | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X3) ),
    inference(equality_resolution,[],[f260]) ).

fof(f260,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sP0(X0,X1,X2)
      | g3_lattices(X1,X3,X4) != X0
      | k1_realset1(u1_lattices(X2),X1) != X4
      | k1_realset1(u2_lattices(X2),X1) != X3
      | ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X4)
      | ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f2071,plain,
    ( ~ spl32_14
    | ~ spl32_90 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | ~ spl32_14
    | ~ spl32_90 ),
    inference(subsumption_resolution,[],[f2069,f235]) ).

fof(f235,plain,
    ~ v3_struct_0(sK4),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6)
    & sK5 = sK6
    & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
    & m1_filter_2(sK6,sK4)
    & m1_filter_2(sK5,sK3)
    & l3_lattices(sK4)
    & v10_lattices(sK4)
    & ~ v3_struct_0(sK4)
    & l3_lattices(sK3)
    & v10_lattices(sK3)
    & ~ v3_struct_0(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f91,f174,f173,f172,f171]) ).

fof(f171,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
                    & X2 = X3
                    & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
                    & m1_filter_2(X3,X1) )
                & m1_filter_2(X2,X0) )
            & l3_lattices(X1)
            & v10_lattices(X1)
            & ~ v3_struct_0(X1) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( k8_filter_0(X1,X3) != k8_filter_0(sK3,X2)
                  & X2 = X3
                  & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
                  & m1_filter_2(X3,X1) )
              & m1_filter_2(X2,sK3) )
          & l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
      & l3_lattices(sK3)
      & v10_lattices(sK3)
      & ~ v3_struct_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f172,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( k8_filter_0(X1,X3) != k8_filter_0(sK3,X2)
                & X2 = X3
                & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
                & m1_filter_2(X3,X1) )
            & m1_filter_2(X2,sK3) )
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( k8_filter_0(sK3,X2) != k8_filter_0(sK4,X3)
              & X2 = X3
              & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
              & m1_filter_2(X3,sK4) )
          & m1_filter_2(X2,sK3) )
      & l3_lattices(sK4)
      & v10_lattices(sK4)
      & ~ v3_struct_0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( k8_filter_0(sK3,X2) != k8_filter_0(sK4,X3)
            & X2 = X3
            & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
            & m1_filter_2(X3,sK4) )
        & m1_filter_2(X2,sK3) )
   => ( ? [X3] :
          ( k8_filter_0(sK4,X3) != k8_filter_0(sK3,sK5)
          & sK5 = X3
          & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
          & m1_filter_2(X3,sK4) )
      & m1_filter_2(sK5,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ( ? [X3] :
        ( k8_filter_0(sK4,X3) != k8_filter_0(sK3,sK5)
        & sK5 = X3
        & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
        & m1_filter_2(X3,sK4) )
   => ( k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6)
      & sK5 = sK6
      & g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      & m1_filter_2(sK6,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
                  & X2 = X3
                  & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
                  & m1_filter_2(X3,X1) )
              & m1_filter_2(X2,X0) )
          & l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
                  & X2 = X3
                  & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
                  & m1_filter_2(X3,X1) )
              & m1_filter_2(X2,X0) )
          & l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
      & 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] :
            ( ( l3_lattices(X1)
              & v10_lattices(X1)
              & ~ v3_struct_0(X1) )
           => ! [X2] :
                ( m1_filter_2(X2,X0)
               => ! [X3] :
                    ( m1_filter_2(X3,X1)
                   => ( ( X2 = X3
                        & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) )
                     => k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( l3_lattices(X1)
            & v10_lattices(X1)
            & ~ v3_struct_0(X1) )
         => ! [X2] :
              ( m1_filter_2(X2,X0)
             => ! [X3] :
                  ( m1_filter_2(X3,X1)
                 => ( ( X2 = X3
                      & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) )
                   => k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',t68_filter_2) ).

fof(f2069,plain,
    ( v3_struct_0(sK4)
    | ~ spl32_14
    | ~ spl32_90 ),
    inference(subsumption_resolution,[],[f2068,f236]) ).

fof(f236,plain,
    v10_lattices(sK4),
    inference(cnf_transformation,[],[f175]) ).

fof(f2068,plain,
    ( ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | ~ spl32_90 ),
    inference(subsumption_resolution,[],[f2067,f237]) ).

fof(f237,plain,
    l3_lattices(sK4),
    inference(cnf_transformation,[],[f175]) ).

fof(f2067,plain,
    ( ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | ~ spl32_90 ),
    inference(subsumption_resolution,[],[f2063,f478]) ).

fof(f478,plain,
    ( m1_filter_0(sK6,sK4)
    | ~ spl32_14 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl32_14
  <=> m1_filter_0(sK6,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).

fof(f2063,plain,
    ( ~ m1_filter_0(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_90 ),
    inference(resolution,[],[f1754,f316]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ v3_struct_0(k8_filter_0(X0,X1))
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( l3_lattices(k8_filter_0(X0,X1))
        & v10_lattices(k8_filter_0(X0,X1))
        & ~ v3_struct_0(k8_filter_0(X0,X1)) )
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( l3_lattices(k8_filter_0(X0,X1))
        & v10_lattices(k8_filter_0(X0,X1))
        & ~ v3_struct_0(k8_filter_0(X0,X1)) )
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( m1_filter_0(X1,X0)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( l3_lattices(k8_filter_0(X0,X1))
        & v10_lattices(k8_filter_0(X0,X1))
        & ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',dt_k8_filter_0) ).

fof(f1754,plain,
    ( v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ spl32_90 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f1752,plain,
    ( spl32_90
  <=> v3_struct_0(k8_filter_0(sK4,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).

fof(f1978,plain,
    ( ~ spl32_14
    | spl32_89 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f1977,plain,
    ( $false
    | ~ spl32_14
    | spl32_89 ),
    inference(subsumption_resolution,[],[f1976,f235]) ).

fof(f1976,plain,
    ( v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_89 ),
    inference(subsumption_resolution,[],[f1975,f236]) ).

fof(f1975,plain,
    ( ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_89 ),
    inference(subsumption_resolution,[],[f1974,f237]) ).

fof(f1974,plain,
    ( ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_89 ),
    inference(subsumption_resolution,[],[f1969,f478]) ).

fof(f1969,plain,
    ( ~ m1_filter_0(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_89 ),
    inference(resolution,[],[f1750,f317]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( v10_lattices(k8_filter_0(X0,X1))
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f1750,plain,
    ( ~ v10_lattices(k8_filter_0(sK4,sK6))
    | spl32_89 ),
    inference(avatar_component_clause,[],[f1748]) ).

fof(f1748,plain,
    ( spl32_89
  <=> v10_lattices(k8_filter_0(sK4,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).

fof(f1954,plain,
    ( ~ spl32_14
    | spl32_88 ),
    inference(avatar_contradiction_clause,[],[f1953]) ).

fof(f1953,plain,
    ( $false
    | ~ spl32_14
    | spl32_88 ),
    inference(subsumption_resolution,[],[f1952,f235]) ).

fof(f1952,plain,
    ( v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_88 ),
    inference(subsumption_resolution,[],[f1951,f236]) ).

fof(f1951,plain,
    ( ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_88 ),
    inference(subsumption_resolution,[],[f1950,f237]) ).

fof(f1950,plain,
    ( ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_88 ),
    inference(subsumption_resolution,[],[f1947,f478]) ).

fof(f1947,plain,
    ( ~ m1_filter_0(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_88 ),
    inference(resolution,[],[f1746,f318]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( l3_lattices(k8_filter_0(X0,X1))
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f1746,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | spl32_88 ),
    inference(avatar_component_clause,[],[f1744]) ).

fof(f1744,plain,
    ( spl32_88
  <=> l3_lattices(k8_filter_0(sK4,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).

fof(f1939,plain,
    ( spl32_90
    | ~ spl32_89
    | ~ spl32_88
    | ~ spl32_14
    | spl32_86 ),
    inference(avatar_split_clause,[],[f1938,f1736,f477,f1744,f1748,f1752]) ).

fof(f1938,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ spl32_14
    | spl32_86 ),
    inference(subsumption_resolution,[],[f1937,f235]) ).

fof(f1937,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | v3_struct_0(k8_filter_0(sK4,sK6))
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_86 ),
    inference(subsumption_resolution,[],[f1936,f236]) ).

fof(f1936,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_86 ),
    inference(subsumption_resolution,[],[f1935,f237]) ).

fof(f1935,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl32_14
    | spl32_86 ),
    inference(subsumption_resolution,[],[f1927,f478]) ).

fof(f1927,plain,
    ( ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ m1_filter_0(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_86 ),
    inference(resolution,[],[f1738,f261]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X1,X2)
      | ~ l3_lattices(X2)
      | ~ v10_lattices(X2)
      | v3_struct_0(X2)
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( sP1(X0,X1,X2)
              | ~ l3_lattices(X2)
              | ~ v10_lattices(X2)
              | v3_struct_0(X2) )
          | ~ m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f98,f167,f166]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k8_filter_0(X0,X1) = X2
              <=> ? [X3] :
                    ( ? [X4] :
                        ( g3_lattices(X1,X3,X4) = X2
                        & k1_realset1(u1_lattices(X0),X1) = X4
                        & k1_realset1(u2_lattices(X0),X1) = X3
                        & m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_1(X4) )
                    & m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_1(X3) ) )
              | ~ l3_lattices(X2)
              | ~ v10_lattices(X2)
              | v3_struct_0(X2) )
          | ~ m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k8_filter_0(X0,X1) = X2
              <=> ? [X3] :
                    ( ? [X4] :
                        ( g3_lattices(X1,X3,X4) = X2
                        & k1_realset1(u1_lattices(X0),X1) = X4
                        & k1_realset1(u2_lattices(X0),X1) = X3
                        & m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_1(X4) )
                    & m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_1(X3) ) )
              | ~ l3_lattices(X2)
              | ~ v10_lattices(X2)
              | v3_struct_0(X2) )
          | ~ m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_filter_0(X1,X0)
         => ! [X2] :
              ( ( l3_lattices(X2)
                & v10_lattices(X2)
                & ~ v3_struct_0(X2) )
             => ( k8_filter_0(X0,X1) = X2
              <=> ? [X3] :
                    ( ? [X4] :
                        ( g3_lattices(X1,X3,X4) = X2
                        & k1_realset1(u1_lattices(X0),X1) = X4
                        & k1_realset1(u2_lattices(X0),X1) = X3
                        & m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
                        & v1_funct_1(X4) )
                    & m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
                    & v1_funct_1(X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',d10_filter_0) ).

fof(f1738,plain,
    ( ~ sP1(sK4,sK6,k8_filter_0(sK4,sK6))
    | spl32_86 ),
    inference(avatar_component_clause,[],[f1736]) ).

fof(f1755,plain,
    ( ~ spl32_86
    | ~ spl32_87
    | ~ spl32_88
    | ~ spl32_89
    | spl32_90
    | ~ spl32_67 ),
    inference(avatar_split_clause,[],[f1732,f1362,f1752,f1748,f1744,f1740,f1736]) ).

fof(f1362,plain,
    ( spl32_67
  <=> ! [X0] :
        ( ~ sP0(X0,sK6,sK3)
        | v3_struct_0(X0)
        | ~ v10_lattices(X0)
        | ~ l3_lattices(X0)
        | ~ sP0(X0,sK6,sK4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).

fof(f1732,plain,
    ( v3_struct_0(k8_filter_0(sK4,sK6))
    | ~ v10_lattices(k8_filter_0(sK4,sK6))
    | ~ l3_lattices(k8_filter_0(sK4,sK6))
    | ~ sP0(k8_filter_0(sK4,sK6),sK6,sK3)
    | ~ sP1(sK4,sK6,k8_filter_0(sK4,sK6))
    | ~ spl32_67 ),
    inference(resolution,[],[f1363,f385]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( ~ sP0(X0,sK6,sK4)
        | v3_struct_0(X0)
        | ~ v10_lattices(X0)
        | ~ l3_lattices(X0)
        | ~ sP0(X0,sK6,sK3) )
    | ~ spl32_67 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1372,plain,
    spl32_66,
    inference(avatar_contradiction_clause,[],[f1371]) ).

fof(f1371,plain,
    ( $false
    | spl32_66 ),
    inference(subsumption_resolution,[],[f1370,f232]) ).

fof(f232,plain,
    ~ v3_struct_0(sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f1370,plain,
    ( v3_struct_0(sK3)
    | spl32_66 ),
    inference(subsumption_resolution,[],[f1369,f233]) ).

fof(f233,plain,
    v10_lattices(sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f1369,plain,
    ( ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_66 ),
    inference(subsumption_resolution,[],[f1368,f234]) ).

fof(f234,plain,
    l3_lattices(sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f1368,plain,
    ( ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_66 ),
    inference(subsumption_resolution,[],[f1366,f384]) ).

fof(f384,plain,
    m1_filter_2(sK6,sK3),
    inference(definition_unfolding,[],[f238,f241]) ).

fof(f241,plain,
    sK5 = sK6,
    inference(cnf_transformation,[],[f175]) ).

fof(f238,plain,
    m1_filter_2(sK5,sK3),
    inference(cnf_transformation,[],[f175]) ).

fof(f1366,plain,
    ( ~ m1_filter_2(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_66 ),
    inference(resolution,[],[f1360,f287]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( m1_filter_0(X1,X0)
      | ~ m1_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_filter_2(X1,X0)
            | ~ m1_filter_0(X1,X0) )
          & ( m1_filter_0(X1,X0)
            | ~ m1_filter_2(X1,X0) ) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',redefinition_m1_filter_2) ).

fof(f1360,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | spl32_66 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1358,plain,
    ( spl32_66
  <=> m1_filter_0(sK6,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).

fof(f1364,plain,
    ( ~ spl32_66
    | spl32_67
    | spl32_2 ),
    inference(avatar_split_clause,[],[f1356,f402,f1362,f1358]) ).

fof(f402,plain,
    ( spl32_2
  <=> sP0(k8_filter_0(sK3,sK6),sK6,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).

fof(f1356,plain,
    ( ! [X0] :
        ( ~ sP0(X0,sK6,sK3)
        | ~ sP0(X0,sK6,sK4)
        | ~ l3_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | ~ m1_filter_0(sK6,sK3) )
    | spl32_2 ),
    inference(subsumption_resolution,[],[f1355,f232]) ).

fof(f1355,plain,
    ( ! [X0] :
        ( ~ sP0(X0,sK6,sK3)
        | ~ sP0(X0,sK6,sK4)
        | ~ l3_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | ~ m1_filter_0(sK6,sK3)
        | v3_struct_0(sK3) )
    | spl32_2 ),
    inference(subsumption_resolution,[],[f1354,f233]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( ~ sP0(X0,sK6,sK3)
        | ~ sP0(X0,sK6,sK4)
        | ~ l3_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | ~ m1_filter_0(sK6,sK3)
        | ~ v10_lattices(sK3)
        | v3_struct_0(sK3) )
    | spl32_2 ),
    inference(subsumption_resolution,[],[f1353,f234]) ).

fof(f1353,plain,
    ( ! [X0] :
        ( ~ sP0(X0,sK6,sK3)
        | ~ sP0(X0,sK6,sK4)
        | ~ l3_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | ~ m1_filter_0(sK6,sK3)
        | ~ l3_lattices(sK3)
        | ~ v10_lattices(sK3)
        | v3_struct_0(sK3) )
    | spl32_2 ),
    inference(resolution,[],[f925,f261]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ sP1(sK3,sK6,X0)
        | ~ sP0(X0,sK6,sK3)
        | ~ sP0(X0,sK6,sK4) )
    | spl32_2 ),
    inference(superposition,[],[f404,f250]) ).

fof(f250,plain,
    ! [X2,X0,X1] :
      ( k8_filter_0(X0,X1) = X2
      | ~ sP0(X2,X1,X0)
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f404,plain,
    ( ~ sP0(k8_filter_0(sK3,sK6),sK6,sK4)
    | spl32_2 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f732,plain,
    ~ spl32_15,
    inference(avatar_contradiction_clause,[],[f731]) ).

fof(f731,plain,
    ( $false
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f730,f232]) ).

fof(f730,plain,
    ( v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f729,f233]) ).

fof(f729,plain,
    ( ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f728,f234]) ).

fof(f728,plain,
    ( ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f726,f384]) ).

fof(f726,plain,
    ( ~ m1_filter_2(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(resolution,[],[f713,f287]) ).

fof(f713,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f712,f232]) ).

fof(f712,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f711,f233]) ).

fof(f711,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(subsumption_resolution,[],[f708,f234]) ).

fof(f708,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | ~ spl32_15 ),
    inference(resolution,[],[f483,f316]) ).

fof(f483,plain,
    ( v3_struct_0(k8_filter_0(sK3,sK6))
    | ~ spl32_15 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl32_15
  <=> v3_struct_0(k8_filter_0(sK3,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).

fof(f701,plain,
    spl32_17,
    inference(avatar_contradiction_clause,[],[f700]) ).

fof(f700,plain,
    ( $false
    | spl32_17 ),
    inference(subsumption_resolution,[],[f699,f232]) ).

fof(f699,plain,
    ( v3_struct_0(sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f698,f233]) ).

fof(f698,plain,
    ( ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f697,f234]) ).

fof(f697,plain,
    ( ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f695,f384]) ).

fof(f695,plain,
    ( ~ m1_filter_2(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(resolution,[],[f675,f287]) ).

fof(f675,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f674,f232]) ).

fof(f674,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f673,f233]) ).

fof(f673,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(subsumption_resolution,[],[f671,f234]) ).

fof(f671,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_17 ),
    inference(resolution,[],[f491,f318]) ).

fof(f491,plain,
    ( ~ l3_lattices(k8_filter_0(sK3,sK6))
    | spl32_17 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl32_17
  <=> l3_lattices(k8_filter_0(sK3,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).

fof(f682,plain,
    spl32_10,
    inference(avatar_contradiction_clause,[],[f681]) ).

fof(f681,plain,
    ( $false
    | spl32_10 ),
    inference(subsumption_resolution,[],[f679,f237]) ).

fof(f679,plain,
    ( ~ l3_lattices(sK4)
    | spl32_10 ),
    inference(resolution,[],[f676,f380]) ).

fof(f380,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',dt_l3_lattices) ).

fof(f676,plain,
    ( ~ l1_lattices(sK4)
    | spl32_10 ),
    inference(resolution,[],[f663,f283]) ).

fof(f283,plain,
    ! [X0] :
      ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0)) )
      | ~ l1_lattices(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( l1_lattices(X0)
     => ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',dt_u1_lattices) ).

fof(f663,plain,
    ( ~ m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_10 ),
    inference(resolution,[],[f449,f340]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',redefinition_m2_relset_1) ).

fof(f449,plain,
    ( ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_10 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl32_10
  <=> m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).

fof(f660,plain,
    spl32_9,
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | spl32_9 ),
    inference(subsumption_resolution,[],[f657,f237]) ).

fof(f657,plain,
    ( ~ l3_lattices(sK4)
    | spl32_9 ),
    inference(resolution,[],[f653,f380]) ).

fof(f653,plain,
    ( ~ l1_lattices(sK4)
    | spl32_9 ),
    inference(resolution,[],[f445,f282]) ).

fof(f282,plain,
    ! [X0] :
      ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f445,plain,
    ( ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_9 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl32_9
  <=> v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).

fof(f632,plain,
    spl32_16,
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | spl32_16 ),
    inference(subsumption_resolution,[],[f630,f232]) ).

fof(f630,plain,
    ( v3_struct_0(sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f629,f233]) ).

fof(f629,plain,
    ( ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f628,f234]) ).

fof(f628,plain,
    ( ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f626,f384]) ).

fof(f626,plain,
    ( ~ m1_filter_2(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(resolution,[],[f573,f287]) ).

fof(f573,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f572,f232]) ).

fof(f572,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f571,f233]) ).

fof(f571,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(subsumption_resolution,[],[f567,f234]) ).

fof(f567,plain,
    ( ~ m1_filter_0(sK6,sK3)
    | ~ l3_lattices(sK3)
    | ~ v10_lattices(sK3)
    | v3_struct_0(sK3)
    | spl32_16 ),
    inference(resolution,[],[f487,f317]) ).

fof(f487,plain,
    ( ~ v10_lattices(k8_filter_0(sK3,sK6))
    | spl32_16 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f485,plain,
    ( spl32_16
  <=> v10_lattices(k8_filter_0(sK3,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).

fof(f624,plain,
    spl32_8,
    inference(avatar_contradiction_clause,[],[f623]) ).

fof(f623,plain,
    ( $false
    | spl32_8 ),
    inference(subsumption_resolution,[],[f621,f237]) ).

fof(f621,plain,
    ( ~ l3_lattices(sK4)
    | spl32_8 ),
    inference(resolution,[],[f616,f380]) ).

fof(f616,plain,
    ( ~ l1_lattices(sK4)
    | spl32_8 ),
    inference(resolution,[],[f441,f281]) ).

fof(f281,plain,
    ! [X0] :
      ( v1_funct_1(u1_lattices(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f441,plain,
    ( ~ v1_funct_1(u1_lattices(sK4))
    | spl32_8 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f439,plain,
    ( spl32_8
  <=> v1_funct_1(u1_lattices(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).

fof(f615,plain,
    spl32_7,
    inference(avatar_contradiction_clause,[],[f614]) ).

fof(f614,plain,
    ( $false
    | spl32_7 ),
    inference(subsumption_resolution,[],[f612,f237]) ).

fof(f612,plain,
    ( ~ l3_lattices(sK4)
    | spl32_7 ),
    inference(resolution,[],[f609,f381]) ).

fof(f381,plain,
    ! [X0] :
      ( l2_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f609,plain,
    ( ~ l2_lattices(sK4)
    | spl32_7 ),
    inference(resolution,[],[f509,f280]) ).

fof(f280,plain,
    ! [X0] :
      ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0)) )
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',dt_u2_lattices) ).

fof(f509,plain,
    ( ~ m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_7 ),
    inference(resolution,[],[f437,f340]) ).

fof(f437,plain,
    ( ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_7 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl32_7
  <=> m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).

fof(f508,plain,
    spl32_14,
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f507,plain,
    ( $false
    | spl32_14 ),
    inference(subsumption_resolution,[],[f506,f235]) ).

fof(f506,plain,
    ( v3_struct_0(sK4)
    | spl32_14 ),
    inference(subsumption_resolution,[],[f505,f236]) ).

fof(f505,plain,
    ( ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_14 ),
    inference(subsumption_resolution,[],[f504,f237]) ).

fof(f504,plain,
    ( ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_14 ),
    inference(subsumption_resolution,[],[f502,f239]) ).

fof(f239,plain,
    m1_filter_2(sK6,sK4),
    inference(cnf_transformation,[],[f175]) ).

fof(f502,plain,
    ( ~ m1_filter_2(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_14 ),
    inference(resolution,[],[f479,f287]) ).

fof(f479,plain,
    ( ~ m1_filter_0(sK6,sK4)
    | spl32_14 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f500,plain,
    spl32_6,
    inference(avatar_contradiction_clause,[],[f499]) ).

fof(f499,plain,
    ( $false
    | spl32_6 ),
    inference(subsumption_resolution,[],[f497,f237]) ).

fof(f497,plain,
    ( ~ l3_lattices(sK4)
    | spl32_6 ),
    inference(resolution,[],[f493,f381]) ).

fof(f493,plain,
    ( ~ l2_lattices(sK4)
    | spl32_6 ),
    inference(resolution,[],[f433,f279]) ).

fof(f279,plain,
    ! [X0] :
      ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f433,plain,
    ( ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
    | spl32_6 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f431,plain,
    ( spl32_6
  <=> v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).

fof(f492,plain,
    ( ~ spl32_14
    | spl32_15
    | ~ spl32_16
    | ~ spl32_17
    | spl32_1 ),
    inference(avatar_split_clause,[],[f475,f398,f489,f485,f481,f477]) ).

fof(f398,plain,
    ( spl32_1
  <=> sP1(sK4,sK6,k8_filter_0(sK3,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).

fof(f475,plain,
    ( ~ l3_lattices(k8_filter_0(sK3,sK6))
    | ~ v10_lattices(k8_filter_0(sK3,sK6))
    | v3_struct_0(k8_filter_0(sK3,sK6))
    | ~ m1_filter_0(sK6,sK4)
    | spl32_1 ),
    inference(subsumption_resolution,[],[f474,f235]) ).

fof(f474,plain,
    ( ~ l3_lattices(k8_filter_0(sK3,sK6))
    | ~ v10_lattices(k8_filter_0(sK3,sK6))
    | v3_struct_0(k8_filter_0(sK3,sK6))
    | ~ m1_filter_0(sK6,sK4)
    | v3_struct_0(sK4)
    | spl32_1 ),
    inference(subsumption_resolution,[],[f473,f236]) ).

fof(f473,plain,
    ( ~ l3_lattices(k8_filter_0(sK3,sK6))
    | ~ v10_lattices(k8_filter_0(sK3,sK6))
    | v3_struct_0(k8_filter_0(sK3,sK6))
    | ~ m1_filter_0(sK6,sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_1 ),
    inference(subsumption_resolution,[],[f471,f237]) ).

fof(f471,plain,
    ( ~ l3_lattices(k8_filter_0(sK3,sK6))
    | ~ v10_lattices(k8_filter_0(sK3,sK6))
    | v3_struct_0(k8_filter_0(sK3,sK6))
    | ~ m1_filter_0(sK6,sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl32_1 ),
    inference(resolution,[],[f400,f261]) ).

fof(f400,plain,
    ( ~ sP1(sK4,sK6,k8_filter_0(sK3,sK6))
    | spl32_1 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f470,plain,
    spl32_5,
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | spl32_5 ),
    inference(subsumption_resolution,[],[f467,f237]) ).

fof(f467,plain,
    ( ~ l3_lattices(sK4)
    | spl32_5 ),
    inference(resolution,[],[f462,f381]) ).

fof(f462,plain,
    ( ~ l2_lattices(sK4)
    | spl32_5 ),
    inference(resolution,[],[f429,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( v1_funct_1(u2_lattices(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f429,plain,
    ( ~ v1_funct_1(u2_lattices(sK4))
    | spl32_5 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl32_5
  <=> v1_funct_1(u2_lattices(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).

fof(f461,plain,
    ( ~ spl32_5
    | ~ spl32_6
    | ~ spl32_7
    | ~ spl32_8
    | ~ spl32_9
    | ~ spl32_10
    | spl32_13 ),
    inference(avatar_split_clause,[],[f413,f459,f447,f443,f439,f435,f431,f427]) ).

fof(f413,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
      | u1_lattices(sK4) = X2
      | ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_1(u1_lattices(sK4))
      | ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_1(u2_lattices(sK4)) ),
    inference(superposition,[],[f247,f240]) ).

fof(f240,plain,
    g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3)) = g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)),
    inference(cnf_transformation,[],[f175]) ).

fof(f247,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | X2 = X5
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X2 = X5
            & X1 = X4
            & X0 = X3 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X2 = X5
            & X1 = X4
            & X0 = X3 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X2)
        & m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X1) )
     => ! [X3,X4,X5] :
          ( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
         => ( X2 = X5
            & X1 = X4
            & X0 = X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AqdjAq1IAN/Vampire---4.8_19844',free_g3_lattices) ).

fof(f457,plain,
    ( ~ spl32_5
    | ~ spl32_6
    | ~ spl32_7
    | ~ spl32_8
    | ~ spl32_9
    | ~ spl32_10
    | spl32_12 ),
    inference(avatar_split_clause,[],[f411,f455,f447,f443,f439,f435,f431,f427]) ).

fof(f411,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK3),u2_lattices(sK3),u1_lattices(sK3))
      | u2_lattices(sK4) = X1
      | ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_1(u1_lattices(sK4))
      | ~ m1_relset_1(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
      | ~ v1_funct_1(u2_lattices(sK4)) ),
    inference(superposition,[],[f246,f240]) ).

fof(f246,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | X1 = X4
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f405,plain,
    ( ~ spl32_1
    | ~ spl32_2 ),
    inference(avatar_split_clause,[],[f396,f402,f398]) ).

fof(f396,plain,
    ( ~ sP0(k8_filter_0(sK3,sK6),sK6,sK4)
    | ~ sP1(sK4,sK6,k8_filter_0(sK3,sK6)) ),
    inference(equality_resolution,[],[f394]) ).

fof(f394,plain,
    ! [X0] :
      ( k8_filter_0(sK3,sK6) != X0
      | ~ sP0(X0,sK6,sK4)
      | ~ sP1(sK4,sK6,X0) ),
    inference(superposition,[],[f383,f250]) ).

fof(f383,plain,
    k8_filter_0(sK4,sK6) != k8_filter_0(sK3,sK6),
    inference(definition_unfolding,[],[f242,f241]) ).

fof(f242,plain,
    k8_filter_0(sK3,sK5) != k8_filter_0(sK4,sK6),
    inference(cnf_transformation,[],[f175]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT331+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:22:35 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.AqdjAq1IAN/Vampire---4.8_19844
% 0.68/0.88  % (20080)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 (2994ds/34Mi)
% 0.68/0.88  % (20079)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.68/0.88  % (20077)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 (2994ds/51Mi)
% 0.68/0.88  % (20081)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.68/0.88  % (20076)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 (2994ds/34Mi)
% 0.68/0.88  % (20082)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 (2994ds/83Mi)
% 0.68/0.88  % (20083)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 (2994ds/56Mi)
% 0.68/0.88  % (20078)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.68/0.88  % (20076)Refutation not found, incomplete strategy% (20076)------------------------------
% 0.68/0.88  % (20076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.88  % (20076)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.88  
% 0.68/0.88  % (20076)Memory used [KB]: 1157
% 0.68/0.88  % (20076)Time elapsed: 0.005 s
% 0.68/0.88  % (20076)Instructions burned: 6 (million)
% 0.68/0.88  % (20076)------------------------------
% 0.68/0.88  % (20076)------------------------------
% 0.68/0.88  % (20083)Refutation not found, incomplete strategy% (20083)------------------------------
% 0.68/0.88  % (20083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.88  % (20083)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.88  
% 0.68/0.88  % (20083)Memory used [KB]: 1148
% 0.68/0.88  % (20083)Time elapsed: 0.005 s
% 0.68/0.88  % (20083)Instructions burned: 7 (million)
% 0.68/0.88  % (20083)------------------------------
% 0.68/0.88  % (20083)------------------------------
% 0.68/0.88  % (20081)Refutation not found, incomplete strategy% (20081)------------------------------
% 0.68/0.88  % (20081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.88  % (20081)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.88  
% 0.68/0.88  % (20081)Memory used [KB]: 1202
% 0.68/0.88  % (20081)Time elapsed: 0.010 s
% 0.68/0.88  % (20081)Instructions burned: 13 (million)
% 0.68/0.88  % (20081)------------------------------
% 0.68/0.88  % (20081)------------------------------
% 0.68/0.88  % (20085)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 (2994ds/55Mi)
% 0.68/0.89  % (20086)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 (2994ds/50Mi)
% 0.68/0.89  % (20088)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 (2994ds/208Mi)
% 0.68/0.89  % (20080)Instruction limit reached!
% 0.68/0.89  % (20080)------------------------------
% 0.68/0.89  % (20080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.89  % (20080)Termination reason: Unknown
% 0.68/0.89  % (20080)Termination phase: Saturation
% 0.68/0.89  
% 0.68/0.89  % (20080)Memory used [KB]: 1649
% 0.68/0.89  % (20080)Time elapsed: 0.019 s
% 0.68/0.89  % (20080)Instructions burned: 34 (million)
% 0.68/0.89  % (20080)------------------------------
% 0.68/0.89  % (20080)------------------------------
% 0.68/0.90  % (20079)Instruction limit reached!
% 0.68/0.90  % (20079)------------------------------
% 0.68/0.90  % (20079)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.90  % (20079)Termination reason: Unknown
% 0.68/0.90  % (20079)Termination phase: Saturation
% 0.68/0.90  
% 0.68/0.90  % (20079)Memory used [KB]: 1614
% 0.68/0.90  % (20079)Time elapsed: 0.022 s
% 0.68/0.90  % (20079)Instructions burned: 34 (million)
% 0.68/0.90  % (20079)------------------------------
% 0.68/0.90  % (20079)------------------------------
% 0.68/0.90  % (20089)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 (2994ds/52Mi)
% 0.68/0.90  % (20090)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.68/0.91  % (20077)Instruction limit reached!
% 0.68/0.91  % (20077)------------------------------
% 0.68/0.91  % (20077)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91  % (20077)Termination reason: Unknown
% 0.68/0.91  % (20077)Termination phase: Saturation
% 0.68/0.91  
% 0.68/0.91  % (20077)Memory used [KB]: 1757
% 0.68/0.91  % (20077)Time elapsed: 0.033 s
% 0.68/0.91  % (20077)Instructions burned: 51 (million)
% 0.68/0.91  % (20077)------------------------------
% 0.68/0.91  % (20077)------------------------------
% 0.68/0.91  % (20086)Instruction limit reached!
% 0.68/0.91  % (20086)------------------------------
% 0.68/0.91  % (20086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91  % (20086)Termination reason: Unknown
% 0.68/0.91  % (20086)Termination phase: Saturation
% 0.68/0.91  
% 0.68/0.91  % (20086)Memory used [KB]: 1680
% 0.68/0.91  % (20086)Time elapsed: 0.027 s
% 0.68/0.91  % (20086)Instructions burned: 50 (million)
% 0.68/0.91  % (20086)------------------------------
% 0.68/0.91  % (20086)------------------------------
% 0.68/0.91  % (20091)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)
% 0.68/0.91  % (20085)Instruction limit reached!
% 0.68/0.91  % (20085)------------------------------
% 0.68/0.91  % (20085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.91  % (20085)Termination reason: Unknown
% 0.68/0.91  % (20085)Termination phase: Saturation
% 0.68/0.91  
% 0.68/0.91  % (20085)Memory used [KB]: 3078
% 0.68/0.91  % (20085)Time elapsed: 0.031 s
% 0.68/0.91  % (20085)Instructions burned: 55 (million)
% 0.68/0.91  % (20085)------------------------------
% 0.68/0.91  % (20085)------------------------------
% 0.68/0.91  % (20092)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)
% 0.68/0.92  % (20093)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)
% 0.68/0.92  % (20082)Instruction limit reached!
% 0.68/0.92  % (20082)------------------------------
% 0.68/0.92  % (20082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92  % (20082)Termination reason: Unknown
% 0.68/0.92  % (20082)Termination phase: Saturation
% 0.68/0.92  
% 0.68/0.92  % (20082)Memory used [KB]: 2345
% 0.68/0.92  % (20082)Time elapsed: 0.046 s
% 0.68/0.92  % (20082)Instructions burned: 84 (million)
% 0.68/0.92  % (20082)------------------------------
% 0.68/0.92  % (20082)------------------------------
% 0.68/0.92  % (20088)Refutation not found, incomplete strategy% (20088)------------------------------
% 0.68/0.92  % (20088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92  % (20088)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92  
% 0.68/0.92  % (20088)Memory used [KB]: 1290
% 0.68/0.92  % (20088)Time elapsed: 0.034 s
% 0.68/0.92  % (20088)Instructions burned: 60 (million)
% 0.68/0.92  % (20088)------------------------------
% 0.68/0.92  % (20088)------------------------------
% 0.68/0.92  % (20089)Instruction limit reached!
% 0.68/0.92  % (20089)------------------------------
% 0.68/0.92  % (20089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92  % (20089)Termination reason: Unknown
% 0.68/0.92  % (20089)Termination phase: Saturation
% 0.68/0.92  
% 0.68/0.92  % (20089)Memory used [KB]: 1528
% 0.68/0.92  % (20089)Time elapsed: 0.027 s
% 0.68/0.92  % (20089)Instructions burned: 52 (million)
% 0.68/0.92  % (20089)------------------------------
% 0.68/0.92  % (20089)------------------------------
% 0.68/0.92  % (20078)Instruction limit reached!
% 0.68/0.92  % (20078)------------------------------
% 0.68/0.92  % (20078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.92  % (20078)Termination reason: Unknown
% 0.68/0.92  % (20078)Termination phase: Saturation
% 0.68/0.92  
% 0.68/0.92  % (20078)Memory used [KB]: 1730
% 0.68/0.92  % (20078)Time elapsed: 0.046 s
% 0.68/0.92  % (20078)Instructions burned: 79 (million)
% 0.68/0.92  % (20078)------------------------------
% 0.68/0.92  % (20078)------------------------------
% 0.68/0.92  % (20094)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)
% 0.68/0.93  % (20095)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)
% 0.68/0.93  % (20096)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)
% 0.68/0.93  % (20097)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 1.03/0.94  % (20091)Instruction limit reached!
% 1.03/0.94  % (20091)------------------------------
% 1.03/0.94  % (20091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.94  % (20091)Termination reason: Unknown
% 1.03/0.94  % (20091)Termination phase: Saturation
% 1.03/0.94  
% 1.03/0.94  % (20091)Memory used [KB]: 2057
% 1.03/0.94  % (20091)Time elapsed: 0.026 s
% 1.03/0.94  % (20091)Instructions burned: 42 (million)
% 1.03/0.94  % (20091)------------------------------
% 1.03/0.94  % (20091)------------------------------
% 1.03/0.94  % (20099)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 1.03/0.95  % (20097)Instruction limit reached!
% 1.03/0.95  % (20097)------------------------------
% 1.03/0.95  % (20097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.95  % (20097)Termination reason: Unknown
% 1.03/0.95  % (20097)Termination phase: Saturation
% 1.03/0.95  
% 1.03/0.95  % (20097)Memory used [KB]: 1507
% 1.03/0.95  % (20097)Time elapsed: 0.021 s
% 1.03/0.95  % (20097)Instructions burned: 32 (million)
% 1.03/0.95  % (20097)------------------------------
% 1.03/0.95  % (20097)------------------------------
% 1.03/0.95  % (20102)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 1.03/0.96  % (20096)Instruction limit reached!
% 1.03/0.96  % (20096)------------------------------
% 1.03/0.96  % (20096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.96  % (20096)Termination reason: Unknown
% 1.03/0.96  % (20096)Termination phase: Saturation
% 1.03/0.96  
% 1.03/0.96  % (20096)Memory used [KB]: 2284
% 1.03/0.96  % (20096)Time elapsed: 0.033 s
% 1.03/0.96  % (20096)Instructions burned: 63 (million)
% 1.03/0.96  % (20096)------------------------------
% 1.03/0.96  % (20096)------------------------------
% 1.03/0.96  % (20090)First to succeed.
% 1.03/0.96  % (20107)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.03/0.97  % (20090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20007"
% 1.03/0.97  % (20090)Refutation found. Thanks to Tanya!
% 1.03/0.97  % SZS status Theorem for Vampire---4
% 1.03/0.97  % SZS output start Proof for Vampire---4
% See solution above
% 1.03/0.97  % (20090)------------------------------
% 1.03/0.97  % (20090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.97  % (20090)Termination reason: Refutation
% 1.03/0.97  
% 1.03/0.97  % (20090)Memory used [KB]: 1970
% 1.03/0.97  % (20090)Time elapsed: 0.067 s
% 1.03/0.97  % (20090)Instructions burned: 116 (million)
% 1.03/0.97  % (20007)Success in time 0.594 s
% 1.03/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------