TSTP Solution File: LAT287+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT287+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 : n015.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 07:22:59 EDT 2024

% Result   : Theorem 0.94s 0.87s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  226 (  30 unt;   0 def)
%            Number of atoms       :  950 (  89 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 1300 ( 576   ~; 614   |;  77   &)
%                                         (  15 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   33 (  31 usr;  12 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :  225 ( 221   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1029,plain,
    $false,
    inference(avatar_sat_refutation,[],[f477,f481,f537,f542,f565,f579,f584,f599,f611,f892,f959,f1026]) ).

fof(f1026,plain,
    ( ~ spl18_5
    | ~ spl18_7
    | spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl18_5
    | ~ spl18_7
    | spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(resolution,[],[f1017,f186]) ).

fof(f186,plain,
    ! [X0] : m1_subset_1(sK3(X0),X0),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
    ? [X1] : m1_subset_1(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',existence_m1_subset_1) ).

fof(f1017,plain,
    ( ! [X0] : ~ m1_subset_1(X0,u1_struct_0(sF16))
    | ~ spl18_5
    | ~ spl18_7
    | spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f1014,f962]) ).

fof(f962,plain,
    ( ~ v1_xboole_0(u1_struct_0(sF16))
    | spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f475,f860]) ).

fof(f860,plain,
    ( u1_struct_0(sF16) = k1_lopclset(sK0)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f859,f396]) ).

fof(f396,plain,
    l3_lattices(sF16),
    inference(subsumption_resolution,[],[f395,f163]) ).

fof(f163,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_pre_topc(X0)
          & v2_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',t16_lopclset) ).

fof(f395,plain,
    ( l3_lattices(sF16)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f394,f165]) ).

fof(f165,plain,
    l1_pre_topc(sK0),
    inference(cnf_transformation,[],[f100]) ).

fof(f394,plain,
    ( l3_lattices(sF16)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f393,f164]) ).

fof(f164,plain,
    v2_pre_topc(sK0),
    inference(cnf_transformation,[],[f100]) ).

fof(f393,plain,
    ( l3_lattices(sF16)
    | ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0) ),
    inference(superposition,[],[f178,f277]) ).

fof(f277,plain,
    k6_lopclset(sK0) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f178,plain,
    ! [X0] :
      ( l3_lattices(k6_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( l3_lattices(k6_lopclset(X0))
        & v10_lattices(k6_lopclset(X0))
        & ~ v3_struct_0(k6_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ( l3_lattices(k6_lopclset(X0))
        & v10_lattices(k6_lopclset(X0))
        & ~ v3_struct_0(k6_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ( l3_lattices(k6_lopclset(X0))
        & v10_lattices(k6_lopclset(X0))
        & ~ v3_struct_0(k6_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_k6_lopclset) ).

fof(f859,plain,
    ( u1_struct_0(sF16) = k1_lopclset(sK0)
    | ~ l3_lattices(sF16)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f858,f536]) ).

fof(f536,plain,
    ( v3_lattices(sF16)
    | ~ spl18_17 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f534,plain,
    ( spl18_17
  <=> v3_lattices(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).

fof(f858,plain,
    ( u1_struct_0(sF16) = k1_lopclset(sK0)
    | ~ v3_lattices(sF16)
    | ~ l3_lattices(sF16)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(equality_resolution,[],[f840]) ).

fof(f840,plain,
    ( ! [X0] :
        ( sF16 != X0
        | u1_struct_0(X0) = k1_lopclset(sK0)
        | ~ v3_lattices(X0)
        | ~ l3_lattices(X0) )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(superposition,[],[f828,f234]) ).

fof(f234,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(X0)
       => g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',abstractness_v3_lattices) ).

fof(f828,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | k1_lopclset(sK0) = X0 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f827,f753]) ).

fof(f753,plain,
    ( v1_funct_1(u1_lattices(sF16))
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f523,f749]) ).

fof(f749,plain,
    ( k5_lopclset(sK0) = u1_lattices(sF16)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f748,f396]) ).

fof(f748,plain,
    ( k5_lopclset(sK0) = u1_lattices(sF16)
    | ~ l3_lattices(sF16)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f747,f536]) ).

fof(f747,plain,
    ( k5_lopclset(sK0) = u1_lattices(sF16)
    | ~ v3_lattices(sF16)
    | ~ l3_lattices(sF16)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(equality_resolution,[],[f745]) ).

fof(f745,plain,
    ( ! [X0] :
        ( sF16 != X0
        | u1_lattices(X0) = k5_lopclset(sK0)
        | ~ v3_lattices(X0)
        | ~ l3_lattices(X0) )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(superposition,[],[f744,f234]) ).

fof(f744,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | k5_lopclset(sK0) = X2 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(subsumption_resolution,[],[f743,f523]) ).

fof(f743,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ v1_funct_1(k5_lopclset(sK0))
        | k5_lopclset(sK0) = X2 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(subsumption_resolution,[],[f742,f515]) ).

fof(f515,plain,
    ( m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_12 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f514,plain,
    ( spl18_12
  <=> m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).

fof(f742,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(k5_lopclset(sK0))
        | k5_lopclset(sK0) = X2 )
    | ~ spl18_13
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(subsumption_resolution,[],[f738,f519]) ).

fof(f519,plain,
    ( v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_13 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl18_13
  <=> v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

fof(f738,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(k5_lopclset(sK0))
        | k5_lopclset(sK0) = X2 )
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(superposition,[],[f702,f488]) ).

fof(f488,plain,
    sF16 = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
    inference(forward_demodulation,[],[f487,f277]) ).

fof(f487,plain,
    k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
    inference(subsumption_resolution,[],[f486,f165]) ).

fof(f486,plain,
    ( ~ l1_pre_topc(sK0)
    | k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
    inference(subsumption_resolution,[],[f485,f163]) ).

fof(f485,plain,
    ( v3_struct_0(sK0)
    | ~ l1_pre_topc(sK0)
    | k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
    inference(resolution,[],[f175,f164]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0)
      | k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',d4_lopclset) ).

fof(f702,plain,
    ( ! [X2,X3,X0,X1] :
        ( g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),X0) != g3_lattices(X1,X2,X3)
        | ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(X0)
        | X0 = X3 )
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(subsumption_resolution,[],[f700,f531]) ).

fof(f531,plain,
    ( v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_16 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl18_16
  <=> v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).

fof(f700,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ v1_funct_1(X0)
        | ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),X0) != g3_lattices(X1,X2,X3)
        | X0 = X3
        | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
    | ~ spl18_15 ),
    inference(resolution,[],[f631,f527]) ).

fof(f527,plain,
    ( m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl18_15
  <=> m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f631,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X1 = X4
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0) ),
    inference(subsumption_resolution,[],[f630,f163]) ).

fof(f630,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X1 = X4
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f629,f165]) ).

fof(f629,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X1 = X4
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ l1_pre_topc(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f547,f164]) ).

fof(f547,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ v2_pre_topc(X0)
      | ~ m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
      | g3_lattices(X3,X4,X5) != g3_lattices(X1,k4_lopclset(X0),X2)
      | X2 = X5
      | ~ v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(X1,X1),X1)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(resolution,[],[f229,f235]) ).

fof(f235,plain,
    ! [X0] :
      ( v1_funct_1(k4_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k4_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k4_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k4_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_k4_lopclset) ).

fof(f229,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | X2 = X5 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,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,[],[f136]) ).

fof(f136,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.guKAvmK4qt/Vampire---4.8_7313',free_g3_lattices) ).

fof(f523,plain,
    ( v1_funct_1(k5_lopclset(sK0))
    | ~ spl18_14 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl18_14
  <=> v1_funct_1(k5_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

fof(f827,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ v1_funct_1(u1_lattices(sF16))
        | k1_lopclset(sK0) = X0 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f826,f751]) ).

fof(f751,plain,
    ( m1_relset_1(u1_lattices(sF16),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f515,f749]) ).

fof(f826,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ m1_relset_1(u1_lattices(sF16),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(u1_lattices(sF16))
        | k1_lopclset(sK0) = X0 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f822,f752]) ).

fof(f752,plain,
    ( v1_funct_2(u1_lattices(sF16),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f519,f749]) ).

fof(f822,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != sF16
        | ~ v1_funct_2(u1_lattices(sF16),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(u1_lattices(sF16),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(u1_lattices(sF16))
        | k1_lopclset(sK0) = X0 )
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(superposition,[],[f690,f750]) ).

fof(f750,plain,
    ( sF16 = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),u1_lattices(sF16))
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f488,f749]) ).

fof(f690,plain,
    ( ! [X2,X3,X0,X1] :
        ( g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),X0) != g3_lattices(X1,X2,X3)
        | ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ v1_funct_1(X0)
        | k1_lopclset(sK0) = X1 )
    | ~ spl18_15
    | ~ spl18_16 ),
    inference(subsumption_resolution,[],[f688,f531]) ).

fof(f688,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ v1_funct_1(X0)
        | ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
        | g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),X0) != g3_lattices(X1,X2,X3)
        | k1_lopclset(sK0) = X1
        | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
    | ~ spl18_15 ),
    inference(resolution,[],[f606,f527]) ).

fof(f606,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X0 = X2
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0) ),
    inference(subsumption_resolution,[],[f605,f163]) ).

fof(f605,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X0 = X2
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f604,f165]) ).

fof(f604,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,k4_lopclset(sK0),X1) != g3_lattices(X2,X3,X4)
      | X0 = X2
      | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(X0,X0),X0)
      | ~ l1_pre_topc(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f543,f164]) ).

fof(f543,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ v2_pre_topc(X0)
      | ~ m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
      | g3_lattices(X3,X4,X5) != g3_lattices(X1,k4_lopclset(X0),X2)
      | X1 = X3
      | ~ v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(X1,X1),X1)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(resolution,[],[f227,f235]) ).

fof(f227,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f475,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK0))
    | spl18_8 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl18_8
  <=> v1_xboole_0(k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( v1_xboole_0(u1_struct_0(sF16))
        | ~ m1_subset_1(X0,u1_struct_0(sF16)) )
    | ~ spl18_5
    | ~ spl18_7
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(resolution,[],[f1011,f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',t2_subset) ).

fof(f1011,plain,
    ( ! [X0] : ~ r2_hidden(X0,u1_struct_0(sF16))
    | ~ spl18_5
    | ~ spl18_7
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(resolution,[],[f988,f401]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_pre_topc(sK5)))
      | ~ r2_hidden(X1,X0) ),
    inference(resolution,[],[f266,f282]) ).

fof(f282,plain,
    v1_xboole_0(k1_pre_topc(sK5)),
    inference(resolution,[],[f169,f191]) ).

fof(f191,plain,
    l1_struct_0(sK5),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,axiom,
    ? [X0] :
      ( ~ v3_struct_0(X0)
      & l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',rc3_struct_0) ).

fof(f169,plain,
    ! [X0] :
      ( ~ l1_struct_0(X0)
      | v1_xboole_0(k1_pre_topc(X0)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( v5_membered(k1_pre_topc(X0))
        & v4_membered(k1_pre_topc(X0))
        & v3_membered(k1_pre_topc(X0))
        & v2_membered(k1_pre_topc(X0))
        & v1_membered(k1_pre_topc(X0))
        & v1_xboole_0(k1_pre_topc(X0)) )
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => ( v5_membered(k1_pre_topc(X0))
        & v4_membered(k1_pre_topc(X0))
        & v3_membered(k1_pre_topc(X0))
        & v2_membered(k1_pre_topc(X0))
        & v1_membered(k1_pre_topc(X0))
        & v1_xboole_0(k1_pre_topc(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',fc1_pre_topc) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ~ v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,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.guKAvmK4qt/Vampire---4.8_7313',t5_subset) ).

fof(f988,plain,
    ( m1_subset_1(u1_struct_0(sF16),k1_zfmisc_1(k1_pre_topc(sK5)))
    | ~ spl18_5
    | ~ spl18_7
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f863,f970]) ).

fof(f970,plain,
    ( k1_pre_topc(sK5) = k1_zfmisc_1(u1_struct_0(sK0))
    | ~ spl18_5 ),
    inference(resolution,[],[f464,f311]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | k1_pre_topc(sK5) = X0 ),
    inference(backward_demodulation,[],[f299,f305]) ).

fof(f305,plain,
    k1_pre_topc(sK0) = k1_pre_topc(sK5),
    inference(resolution,[],[f299,f282]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | k1_pre_topc(sK0) = X0 ),
    inference(resolution,[],[f297,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X0)
      | X0 = X1
      | ~ v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | X0 = X1
      | ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ! [X0,X1] :
      ~ ( v1_xboole_0(X1)
        & X0 != X1
        & v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',t8_boole) ).

fof(f297,plain,
    v1_xboole_0(k1_pre_topc(sK0)),
    inference(resolution,[],[f284,f165]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v1_xboole_0(k1_pre_topc(X0)) ),
    inference(resolution,[],[f169,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_l1_pre_topc) ).

fof(f464,plain,
    ( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
    | ~ spl18_5 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl18_5
  <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).

fof(f863,plain,
    ( m1_subset_1(u1_struct_0(sF16),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
    | ~ spl18_7
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f471,f860]) ).

fof(f471,plain,
    ( m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
    | ~ spl18_7 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl18_7
  <=> m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).

fof(f959,plain,
    ( ~ spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(avatar_contradiction_clause,[],[f958]) ).

fof(f958,plain,
    ( $false
    | ~ spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f909,f938]) ).

fof(f938,plain,
    ( v1_xboole_0(u1_struct_0(sF16))
    | ~ spl18_8
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f476,f860]) ).

fof(f476,plain,
    ( v1_xboole_0(k1_lopclset(sK0))
    | ~ spl18_8 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f909,plain,
    ( ~ v1_xboole_0(u1_struct_0(sF16))
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f908,f163]) ).

fof(f908,plain,
    ( ~ v1_xboole_0(u1_struct_0(sF16))
    | v3_struct_0(sK0)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f907,f165]) ).

fof(f907,plain,
    ( ~ v1_xboole_0(u1_struct_0(sF16))
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f882,f164]) ).

fof(f882,plain,
    ( ~ v1_xboole_0(u1_struct_0(sF16))
    | ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(superposition,[],[f179,f860]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ~ v1_xboole_0(k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',fc1_lopclset) ).

fof(f892,plain,
    ( ~ spl18_6
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(avatar_contradiction_clause,[],[f891]) ).

fof(f891,plain,
    ( $false
    | ~ spl18_6
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f862,f309]) ).

fof(f309,plain,
    ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(sF16)),
    inference(backward_demodulation,[],[f281,f305]) ).

fof(f281,plain,
    ~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(sF16)),
    inference(backward_demodulation,[],[f280,f278]) ).

fof(f278,plain,
    u1_struct_0(sF16) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f280,plain,
    ~ m1_subset_1(k1_pre_topc(sK0),sF17),
    inference(backward_demodulation,[],[f279,f276]) ).

fof(f276,plain,
    k1_pre_topc(sK0) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f279,plain,
    ~ m1_subset_1(sF15,sF17),
    inference(definition_folding,[],[f166,f278,f277,f276]) ).

fof(f166,plain,
    ~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
    inference(cnf_transformation,[],[f100]) ).

fof(f862,plain,
    ( m1_subset_1(k1_pre_topc(sK5),u1_struct_0(sF16))
    | ~ spl18_6
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f468,f860]) ).

fof(f468,plain,
    ( m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK0))
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl18_6
  <=> m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f611,plain,
    spl18_16,
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | spl18_16 ),
    inference(subsumption_resolution,[],[f609,f163]) ).

fof(f609,plain,
    ( v3_struct_0(sK0)
    | spl18_16 ),
    inference(subsumption_resolution,[],[f608,f165]) ).

fof(f608,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_16 ),
    inference(subsumption_resolution,[],[f607,f164]) ).

fof(f607,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_16 ),
    inference(resolution,[],[f532,f236]) ).

fof(f236,plain,
    ! [X0] :
      ( v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f532,plain,
    ( ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_16 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f599,plain,
    spl18_15,
    inference(avatar_contradiction_clause,[],[f598]) ).

fof(f598,plain,
    ( $false
    | spl18_15 ),
    inference(subsumption_resolution,[],[f597,f163]) ).

fof(f597,plain,
    ( v3_struct_0(sK0)
    | spl18_15 ),
    inference(subsumption_resolution,[],[f596,f165]) ).

fof(f596,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_15 ),
    inference(subsumption_resolution,[],[f594,f164]) ).

fof(f594,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_15 ),
    inference(resolution,[],[f593,f237]) ).

fof(f237,plain,
    ! [X0] :
      ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f593,plain,
    ( ~ m2_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_15 ),
    inference(resolution,[],[f528,f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',redefinition_m2_relset_1) ).

fof(f528,plain,
    ( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_15 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f584,plain,
    spl18_14,
    inference(avatar_contradiction_clause,[],[f583]) ).

fof(f583,plain,
    ( $false
    | spl18_14 ),
    inference(subsumption_resolution,[],[f582,f163]) ).

fof(f582,plain,
    ( v3_struct_0(sK0)
    | spl18_14 ),
    inference(subsumption_resolution,[],[f581,f165]) ).

fof(f581,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_14 ),
    inference(subsumption_resolution,[],[f580,f164]) ).

fof(f580,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_14 ),
    inference(resolution,[],[f524,f238]) ).

fof(f238,plain,
    ! [X0] :
      ( v1_funct_1(k5_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k5_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k5_lopclset(X0)) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
        & v1_funct_1(k5_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_k5_lopclset) ).

fof(f524,plain,
    ( ~ v1_funct_1(k5_lopclset(sK0))
    | spl18_14 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f579,plain,
    spl18_13,
    inference(avatar_contradiction_clause,[],[f578]) ).

fof(f578,plain,
    ( $false
    | spl18_13 ),
    inference(subsumption_resolution,[],[f577,f163]) ).

fof(f577,plain,
    ( v3_struct_0(sK0)
    | spl18_13 ),
    inference(subsumption_resolution,[],[f576,f165]) ).

fof(f576,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_13 ),
    inference(subsumption_resolution,[],[f575,f164]) ).

fof(f575,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_13 ),
    inference(resolution,[],[f520,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f520,plain,
    ( ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_13 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f565,plain,
    spl18_12,
    inference(avatar_contradiction_clause,[],[f564]) ).

fof(f564,plain,
    ( $false
    | spl18_12 ),
    inference(subsumption_resolution,[],[f563,f163]) ).

fof(f563,plain,
    ( v3_struct_0(sK0)
    | spl18_12 ),
    inference(subsumption_resolution,[],[f562,f165]) ).

fof(f562,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_12 ),
    inference(subsumption_resolution,[],[f560,f164]) ).

fof(f560,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_12 ),
    inference(resolution,[],[f558,f240]) ).

fof(f240,plain,
    ! [X0] :
      ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f558,plain,
    ( ~ m2_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_12 ),
    inference(resolution,[],[f516,f273]) ).

fof(f516,plain,
    ( ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | spl18_12 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f542,plain,
    spl18_11,
    inference(avatar_contradiction_clause,[],[f541]) ).

fof(f541,plain,
    ( $false
    | spl18_11 ),
    inference(subsumption_resolution,[],[f540,f163]) ).

fof(f540,plain,
    ( v3_struct_0(sK0)
    | spl18_11 ),
    inference(subsumption_resolution,[],[f539,f165]) ).

fof(f539,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_11 ),
    inference(subsumption_resolution,[],[f538,f164]) ).

fof(f538,plain,
    ( ~ v2_pre_topc(sK0)
    | ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_11 ),
    inference(resolution,[],[f512,f235]) ).

fof(f512,plain,
    ( ~ v1_funct_1(k4_lopclset(sK0))
    | spl18_11 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl18_11
  <=> v1_funct_1(k4_lopclset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

fof(f537,plain,
    ( ~ spl18_11
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_16
    | spl18_17 ),
    inference(avatar_split_clause,[],[f504,f534,f530,f526,f522,f518,f514,f510]) ).

fof(f504,plain,
    ( v3_lattices(sF16)
    | ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ v1_funct_1(k5_lopclset(sK0))
    | ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
    | ~ v1_funct_1(k4_lopclset(sK0)) ),
    inference(superposition,[],[f230,f488]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( v3_lattices(g3_lattices(X0,X1,X2))
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(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) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(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) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,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) )
     => ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_g3_lattices) ).

fof(f481,plain,
    spl18_7,
    inference(avatar_contradiction_clause,[],[f480]) ).

fof(f480,plain,
    ( $false
    | spl18_7 ),
    inference(subsumption_resolution,[],[f479,f163]) ).

fof(f479,plain,
    ( v3_struct_0(sK0)
    | spl18_7 ),
    inference(subsumption_resolution,[],[f478,f165]) ).

fof(f478,plain,
    ( ~ l1_pre_topc(sK0)
    | v3_struct_0(sK0)
    | spl18_7 ),
    inference(resolution,[],[f472,f180]) ).

fof(f180,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',dt_k1_lopclset) ).

fof(f472,plain,
    ( ~ m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
    | spl18_7 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f477,plain,
    ( spl18_5
    | spl18_6
    | ~ spl18_7
    | spl18_8 ),
    inference(avatar_split_clause,[],[f456,f474,f470,f466,f462]) ).

fof(f456,plain,
    ( v1_xboole_0(k1_lopclset(sK0))
    | ~ m1_subset_1(k1_lopclset(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
    | m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK0))
    | v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
    inference(resolution,[],[f189,f444]) ).

fof(f444,plain,
    m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)),
    inference(forward_demodulation,[],[f443,f305]) ).

fof(f443,plain,
    m2_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)),
    inference(subsumption_resolution,[],[f442,f165]) ).

fof(f442,plain,
    ( ~ l1_pre_topc(sK0)
    | m2_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)) ),
    inference(subsumption_resolution,[],[f441,f163]) ).

fof(f441,plain,
    ( v3_struct_0(sK0)
    | ~ l1_pre_topc(sK0)
    | m2_subset_1(k1_pre_topc(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_lopclset(sK0)) ),
    inference(resolution,[],[f167,f164]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0)
      | m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',t7_lopclset) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ~ m2_subset_1(X2,X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | m1_subset_1(X2,X1)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | v1_xboole_0(X1)
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | v1_xboole_0(X1)
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(X0))
        & ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X0) )
     => ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.guKAvmK4qt/Vampire---4.8_7313',redefinition_m2_subset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LAT287+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11  % 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
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 12:50:36 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.guKAvmK4qt/Vampire---4.8_7313
% 0.60/0.81  % (7433)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (7430)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (7432)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (7431)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (7429)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.81  % (7434)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.81  % (7435)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81  % (7431)Refutation not found, incomplete strategy% (7431)------------------------------
% 0.60/0.81  % (7431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (7431)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (7431)Memory used [KB]: 1062
% 0.60/0.81  % (7431)Time elapsed: 0.003 s
% 0.60/0.81  % (7431)Instructions burned: 2 (million)
% 0.60/0.81  % (7433)Refutation not found, incomplete strategy% (7433)------------------------------
% 0.60/0.81  % (7433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (7433)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (7433)Memory used [KB]: 1118
% 0.60/0.81  % (7433)Time elapsed: 0.003 s
% 0.60/0.81  % (7433)Instructions burned: 3 (million)
% 0.60/0.81  % (7431)------------------------------
% 0.60/0.81  % (7431)------------------------------
% 0.60/0.81  % (7428)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (7433)------------------------------
% 0.60/0.81  % (7433)------------------------------
% 0.60/0.81  % (7435)Refutation not found, incomplete strategy% (7435)------------------------------
% 0.60/0.81  % (7435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (7435)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (7435)Memory used [KB]: 1141
% 0.60/0.81  % (7435)Time elapsed: 0.004 s
% 0.60/0.81  % (7435)Instructions burned: 4 (million)
% 0.60/0.81  % (7435)------------------------------
% 0.60/0.81  % (7435)------------------------------
% 0.60/0.81  % (7428)Refutation not found, incomplete strategy% (7428)------------------------------
% 0.60/0.81  % (7428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (7428)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (7428)Memory used [KB]: 1145
% 0.60/0.81  % (7428)Time elapsed: 0.004 s
% 0.60/0.81  % (7428)Instructions burned: 5 (million)
% 0.60/0.81  % (7428)------------------------------
% 0.60/0.81  % (7428)------------------------------
% 0.60/0.81  % (7436)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (7437)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81  % (7438)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82  % (7439)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82  % (7438)Refutation not found, incomplete strategy% (7438)------------------------------
% 0.60/0.82  % (7438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (7438)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (7438)Memory used [KB]: 1120
% 0.60/0.82  % (7438)Time elapsed: 0.003 s
% 0.60/0.82  % (7438)Instructions burned: 4 (million)
% 0.60/0.82  % (7438)------------------------------
% 0.60/0.82  % (7438)------------------------------
% 0.60/0.82  % (7440)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.82  % (7440)Refutation not found, incomplete strategy% (7440)------------------------------
% 0.60/0.82  % (7440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (7440)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (7440)Memory used [KB]: 1217
% 0.60/0.82  % (7440)Time elapsed: 0.006 s
% 0.60/0.82  % (7440)Instructions burned: 9 (million)
% 0.67/0.82  % (7440)------------------------------
% 0.67/0.82  % (7440)------------------------------
% 0.67/0.83  % (7432)Instruction limit reached!
% 0.67/0.83  % (7432)------------------------------
% 0.67/0.83  % (7432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (7432)Termination reason: Unknown
% 0.67/0.83  % (7432)Termination phase: Saturation
% 0.67/0.83  
% 0.67/0.83  % (7432)Memory used [KB]: 1858
% 0.67/0.83  % (7432)Time elapsed: 0.020 s
% 0.67/0.83  % (7432)Instructions burned: 34 (million)
% 0.67/0.83  % (7432)------------------------------
% 0.67/0.83  % (7432)------------------------------
% 0.67/0.83  % (7441)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 (2995ds/42Mi)
% 0.67/0.83  % (7442)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 (2995ds/243Mi)
% 0.67/0.84  % (7429)Instruction limit reached!
% 0.67/0.84  % (7429)------------------------------
% 0.67/0.84  % (7429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (7429)Termination reason: Unknown
% 0.67/0.84  % (7429)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (7429)Memory used [KB]: 1712
% 0.67/0.84  % (7429)Time elapsed: 0.029 s
% 0.67/0.84  % (7429)Instructions burned: 52 (million)
% 0.67/0.84  % (7429)------------------------------
% 0.67/0.84  % (7429)------------------------------
% 0.67/0.84  % (7437)Instruction limit reached!
% 0.67/0.84  % (7437)------------------------------
% 0.67/0.84  % (7437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (7437)Termination reason: Unknown
% 0.67/0.84  % (7437)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (7437)Memory used [KB]: 1741
% 0.67/0.84  % (7437)Time elapsed: 0.026 s
% 0.67/0.84  % (7437)Instructions burned: 50 (million)
% 0.67/0.84  % (7437)------------------------------
% 0.67/0.84  % (7437)------------------------------
% 0.67/0.84  % (7443)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)
% 0.67/0.84  % (7444)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)
% 0.67/0.84  % (7436)Instruction limit reached!
% 0.67/0.84  % (7436)------------------------------
% 0.67/0.84  % (7436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (7436)Termination reason: Unknown
% 0.67/0.84  % (7436)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (7436)Memory used [KB]: 1986
% 0.67/0.84  % (7436)Time elapsed: 0.030 s
% 0.67/0.84  % (7436)Instructions burned: 55 (million)
% 0.67/0.84  % (7436)------------------------------
% 0.67/0.84  % (7436)------------------------------
% 0.67/0.84  % (7439)Instruction limit reached!
% 0.67/0.84  % (7439)------------------------------
% 0.67/0.84  % (7439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (7439)Termination reason: Unknown
% 0.67/0.84  % (7439)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (7439)Memory used [KB]: 1785
% 0.67/0.84  % (7439)Time elapsed: 0.030 s
% 0.67/0.84  % (7439)Instructions burned: 53 (million)
% 0.67/0.84  % (7439)------------------------------
% 0.67/0.84  % (7439)------------------------------
% 0.67/0.84  % (7445)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)
% 0.67/0.85  % (7446)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)
% 0.67/0.85  % (7441)Instruction limit reached!
% 0.67/0.85  % (7441)------------------------------
% 0.67/0.85  % (7441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (7441)Termination reason: Unknown
% 0.67/0.85  % (7441)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (7441)Memory used [KB]: 1708
% 0.67/0.85  % (7441)Time elapsed: 0.024 s
% 0.67/0.85  % (7441)Instructions burned: 42 (million)
% 0.67/0.85  % (7441)------------------------------
% 0.67/0.85  % (7441)------------------------------
% 0.67/0.85  % (7430)Instruction limit reached!
% 0.67/0.85  % (7430)------------------------------
% 0.67/0.85  % (7430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (7430)Termination reason: Unknown
% 0.67/0.85  % (7430)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (7430)Memory used [KB]: 1865
% 0.67/0.85  % (7430)Time elapsed: 0.045 s
% 0.67/0.85  % (7430)Instructions burned: 79 (million)
% 0.67/0.85  % (7430)------------------------------
% 0.67/0.85  % (7430)------------------------------
% 0.67/0.85  % (7434)Instruction limit reached!
% 0.67/0.85  % (7434)------------------------------
% 0.67/0.85  % (7434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (7434)Termination reason: Unknown
% 0.67/0.85  % (7434)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (7434)Memory used [KB]: 2256
% 0.67/0.85  % (7434)Time elapsed: 0.047 s
% 0.67/0.85  % (7434)Instructions burned: 84 (million)
% 0.67/0.85  % (7434)------------------------------
% 0.67/0.85  % (7434)------------------------------
% 0.67/0.85  % (7447)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.67/0.85  % (7448)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)
% 0.67/0.86  % (7449)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)
% 0.94/0.87  % (7442)First to succeed.
% 0.94/0.87  % (7447)Instruction limit reached!
% 0.94/0.87  % (7447)------------------------------
% 0.94/0.87  % (7447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.87  % (7447)Termination reason: Unknown
% 0.94/0.87  % (7447)Termination phase: Saturation
% 0.94/0.87  
% 0.94/0.87  % (7447)Memory used [KB]: 1438
% 0.94/0.87  % (7447)Time elapsed: 0.018 s
% 0.94/0.87  % (7447)Instructions burned: 32 (million)
% 0.94/0.87  % (7447)------------------------------
% 0.94/0.87  % (7447)------------------------------
% 0.94/0.87  % (7442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7423"
% 0.94/0.87  % (7442)Refutation found. Thanks to Tanya!
% 0.94/0.87  % SZS status Theorem for Vampire---4
% 0.94/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.94/0.87  % (7442)------------------------------
% 0.94/0.87  % (7442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.87  % (7442)Termination reason: Refutation
% 0.94/0.87  
% 0.94/0.87  % (7442)Memory used [KB]: 1577
% 0.94/0.87  % (7442)Time elapsed: 0.043 s
% 0.94/0.87  % (7442)Instructions burned: 76 (million)
% 0.94/0.87  % (7423)Success in time 0.54 s
% 0.94/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------