TSTP Solution File: LAT297+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:33:26 EDT 2022

% Result   : Theorem 1.95s 0.59s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  141 (  11 unt;   0 def)
%            Number of atoms       :  796 (  28 equ)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives : 1058 ( 403   ~; 436   |; 158   &)
%                                         (  28 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   34 (  32 usr;  19 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-3 aty)
%            Number of variables   :  213 ( 185   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1894,plain,
    $false,
    inference(avatar_sat_refutation,[],[f490,f504,f667,f699,f700,f702,f703,f704,f758,f1398,f1701,f1722,f1763,f1775,f1788,f1797,f1801,f1825,f1886]) ).

fof(f1886,plain,
    ( ~ spl26_8
    | spl26_34
    | ~ spl26_53
    | ~ spl26_26
    | spl26_7
    | spl26_55 ),
    inference(avatar_split_clause,[],[f1879,f1760,f456,f606,f1752,f661,f460]) ).

fof(f460,plain,
    ( spl26_8
  <=> v10_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).

fof(f661,plain,
    ( spl26_34
  <=> m2_lattice4(sK24,sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).

fof(f1752,plain,
    ( spl26_53
  <=> m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_53])]) ).

fof(f606,plain,
    ( spl26_26
  <=> l3_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).

fof(f456,plain,
    ( spl26_7
  <=> v3_struct_0(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f1760,plain,
    ( spl26_55
  <=> m1_subset_1(sK18(sK23,sK24),u1_struct_0(sK23)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_55])]) ).

fof(f1879,plain,
    ( v3_struct_0(sK23)
    | ~ l3_lattices(sK23)
    | ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    | m2_lattice4(sK24,sK23)
    | ~ v10_lattices(sK23)
    | spl26_55 ),
    inference(resolution,[],[f1762,f351]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( m1_subset_1(sK18(X0,X1),u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v10_lattices(X0)
      | m2_lattice4(X1,X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ v10_lattices(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( m2_lattice4(X1,X0)
              | ( m1_subset_1(sK19(X0,X1),u1_struct_0(X0))
                & r2_hidden(sK19(X0,X1),X1)
                & r2_hidden(sK18(X0,X1),X1)
                & ( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
                  | ~ r2_hidden(k3_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1) )
                & m1_subset_1(sK18(X0,X1),u1_struct_0(X0)) ) )
            & ( ! [X4] :
                  ( ! [X5] :
                      ( ~ m1_subset_1(X5,u1_struct_0(X0))
                      | ~ r2_hidden(X5,X1)
                      | ~ r2_hidden(X4,X1)
                      | ( r2_hidden(k4_lattices(X0,X4,X5),X1)
                        & r2_hidden(k3_lattices(X0,X4,X5),X1) ) )
                  | ~ m1_subset_1(X4,u1_struct_0(X0)) )
              | ~ m2_lattice4(X1,X0) ) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f254,f256,f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( m1_subset_1(X3,u1_struct_0(X0))
              & r2_hidden(X3,X1)
              & r2_hidden(X2,X1)
              & ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
                | ~ r2_hidden(k3_lattices(X0,X2,X3),X1) ) )
          & m1_subset_1(X2,u1_struct_0(X0)) )
     => ( ? [X3] :
            ( m1_subset_1(X3,u1_struct_0(X0))
            & r2_hidden(X3,X1)
            & r2_hidden(sK18(X0,X1),X1)
            & ( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),X3),X1)
              | ~ r2_hidden(k3_lattices(X0,sK18(X0,X1),X3),X1) ) )
        & m1_subset_1(sK18(X0,X1),u1_struct_0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( m1_subset_1(X3,u1_struct_0(X0))
          & r2_hidden(X3,X1)
          & r2_hidden(sK18(X0,X1),X1)
          & ( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),X3),X1)
            | ~ r2_hidden(k3_lattices(X0,sK18(X0,X1),X3),X1) ) )
     => ( m1_subset_1(sK19(X0,X1),u1_struct_0(X0))
        & r2_hidden(sK19(X0,X1),X1)
        & r2_hidden(sK18(X0,X1),X1)
        & ( ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
          | ~ r2_hidden(k3_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ! [X0] :
      ( ~ v10_lattices(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( m2_lattice4(X1,X0)
              | ? [X2] :
                  ( ? [X3] :
                      ( m1_subset_1(X3,u1_struct_0(X0))
                      & r2_hidden(X3,X1)
                      & r2_hidden(X2,X1)
                      & ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
                        | ~ r2_hidden(k3_lattices(X0,X2,X3),X1) ) )
                  & m1_subset_1(X2,u1_struct_0(X0)) ) )
            & ( ! [X4] :
                  ( ! [X5] :
                      ( ~ m1_subset_1(X5,u1_struct_0(X0))
                      | ~ r2_hidden(X5,X1)
                      | ~ r2_hidden(X4,X1)
                      | ( r2_hidden(k4_lattices(X0,X4,X5),X1)
                        & r2_hidden(k3_lattices(X0,X4,X5),X1) ) )
                  | ~ m1_subset_1(X4,u1_struct_0(X0)) )
              | ~ m2_lattice4(X1,X0) ) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f253]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ v10_lattices(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( ( m2_lattice4(X1,X0)
              | ? [X2] :
                  ( ? [X3] :
                      ( m1_subset_1(X3,u1_struct_0(X0))
                      & r2_hidden(X3,X1)
                      & r2_hidden(X2,X1)
                      & ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
                        | ~ r2_hidden(k3_lattices(X0,X2,X3),X1) ) )
                  & m1_subset_1(X2,u1_struct_0(X0)) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( ~ m1_subset_1(X3,u1_struct_0(X0))
                      | ~ r2_hidden(X3,X1)
                      | ~ r2_hidden(X2,X1)
                      | ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                        & r2_hidden(k3_lattices(X0,X2,X3),X1) ) )
                  | ~ m1_subset_1(X2,u1_struct_0(X0)) )
              | ~ m2_lattice4(X1,X0) ) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ v10_lattices(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ( m2_lattice4(X1,X0)
          <=> ! [X2] :
                ( ! [X3] :
                    ( ~ m1_subset_1(X3,u1_struct_0(X0))
                    | ~ r2_hidden(X3,X1)
                    | ~ r2_hidden(X2,X1)
                    | ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                      & r2_hidden(k3_lattices(X0,X2,X3),X1) ) )
                | ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
          <=> ! [X2] :
                ( ! [X3] :
                    ( ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                      & r2_hidden(k3_lattices(X0,X2,X3),X1) )
                    | ~ r2_hidden(X3,X1)
                    | ~ r2_hidden(X2,X1)
                    | ~ m1_subset_1(X3,u1_struct_0(X0)) )
                | ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( m2_lattice4(X1,X0)
          <=> ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                   => ( ( r2_hidden(X3,X1)
                        & r2_hidden(X2,X1) )
                     => ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                        & r2_hidden(k3_lattices(X0,X2,X3),X1) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_lattice4) ).

fof(f1762,plain,
    ( ~ m1_subset_1(sK18(sK23,sK24),u1_struct_0(sK23))
    | spl26_55 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1825,plain,
    ( ~ spl26_35
    | ~ spl26_52
    | ~ spl26_55
    | ~ spl26_33
    | spl26_54 ),
    inference(avatar_split_clause,[],[f1818,f1756,f657,f1760,f1748,f679]) ).

fof(f679,plain,
    ( spl26_35
  <=> r2_hidden(sK19(sK23,sK24),sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).

fof(f1748,plain,
    ( spl26_52
  <=> m1_subset_1(sK19(sK23,sK24),u1_struct_0(sK23)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_52])]) ).

fof(f657,plain,
    ( spl26_33
  <=> r2_hidden(sK18(sK23,sK24),sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).

fof(f1756,plain,
    ( spl26_54
  <=> r2_hidden(k4_lattices(sK23,sK18(sK23,sK24),sK19(sK23,sK24)),sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_54])]) ).

fof(f1818,plain,
    ( ~ r2_hidden(sK18(sK23,sK24),sK24)
    | ~ m1_subset_1(sK18(sK23,sK24),u1_struct_0(sK23))
    | ~ m1_subset_1(sK19(sK23,sK24),u1_struct_0(sK23))
    | ~ r2_hidden(sK19(sK23,sK24),sK24)
    | spl26_54 ),
    inference(resolution,[],[f1758,f376]) ).

fof(f376,plain,
    ! [X2,X3] :
      ( r2_hidden(k4_lattices(sK23,X2,X3),sK24)
      | ~ r2_hidden(X3,sK24)
      | ~ m1_subset_1(X2,u1_struct_0(sK23))
      | ~ r2_hidden(X2,sK24)
      | ~ m1_subset_1(X3,u1_struct_0(sK23)) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,plain,
    ( l3_lattices(sK23)
    & v10_lattices(sK23)
    & ~ v3_struct_0(sK23)
    & m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    & ! [X2] :
        ( ~ m1_subset_1(X2,u1_struct_0(sK23))
        | ! [X3] :
            ( ( ( ( r2_hidden(X2,sK24)
                  & r2_hidden(X3,sK24) )
                | ~ r2_hidden(k4_lattices(sK23,X2,X3),sK24) )
              & ( r2_hidden(k4_lattices(sK23,X2,X3),sK24)
                | ~ r2_hidden(X2,sK24)
                | ~ r2_hidden(X3,sK24) ) )
            | ~ m1_subset_1(X3,u1_struct_0(sK23)) ) )
    & ~ m2_lattice4(sK24,sK23) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f268,f270,f269]) ).

fof(f269,plain,
    ( ? [X0] :
        ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0)
        & ? [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ! [X2] :
                ( ~ m1_subset_1(X2,u1_struct_0(X0))
                | ! [X3] :
                    ( ( ( ( r2_hidden(X2,X1)
                          & r2_hidden(X3,X1) )
                        | ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
                      & ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                        | ~ r2_hidden(X2,X1)
                        | ~ r2_hidden(X3,X1) ) )
                    | ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
            & ~ m2_lattice4(X1,X0) ) )
   => ( l3_lattices(sK23)
      & v10_lattices(sK23)
      & ~ v3_struct_0(sK23)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23)))
          & ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(sK23))
              | ! [X3] :
                  ( ( ( ( r2_hidden(X2,X1)
                        & r2_hidden(X3,X1) )
                      | ~ r2_hidden(k4_lattices(sK23,X2,X3),X1) )
                    & ( r2_hidden(k4_lattices(sK23,X2,X3),X1)
                      | ~ r2_hidden(X2,X1)
                      | ~ r2_hidden(X3,X1) ) )
                  | ~ m1_subset_1(X3,u1_struct_0(sK23)) ) )
          & ~ m2_lattice4(X1,sK23) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f270,plain,
    ( ? [X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK23)))
        & ! [X2] :
            ( ~ m1_subset_1(X2,u1_struct_0(sK23))
            | ! [X3] :
                ( ( ( ( r2_hidden(X2,X1)
                      & r2_hidden(X3,X1) )
                    | ~ r2_hidden(k4_lattices(sK23,X2,X3),X1) )
                  & ( r2_hidden(k4_lattices(sK23,X2,X3),X1)
                    | ~ r2_hidden(X2,X1)
                    | ~ r2_hidden(X3,X1) ) )
                | ~ m1_subset_1(X3,u1_struct_0(sK23)) ) )
        & ~ m2_lattice4(X1,sK23) )
   => ( m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
      & ! [X2] :
          ( ~ m1_subset_1(X2,u1_struct_0(sK23))
          | ! [X3] :
              ( ( ( ( r2_hidden(X2,sK24)
                    & r2_hidden(X3,sK24) )
                  | ~ r2_hidden(k4_lattices(sK23,X2,X3),sK24) )
                & ( r2_hidden(k4_lattices(sK23,X2,X3),sK24)
                  | ~ r2_hidden(X2,sK24)
                  | ~ r2_hidden(X3,sK24) ) )
              | ~ m1_subset_1(X3,u1_struct_0(sK23)) ) )
      & ~ m2_lattice4(sK24,sK23) ) ),
    introduced(choice_axiom,[]) ).

fof(f268,plain,
    ? [X0] :
      ( l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ! [X3] :
                  ( ( ( ( r2_hidden(X2,X1)
                        & r2_hidden(X3,X1) )
                      | ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
                    & ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                      | ~ r2_hidden(X2,X1)
                      | ~ r2_hidden(X3,X1) ) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
          & ~ m2_lattice4(X1,X0) ) ),
    inference(flattening,[],[f267]) ).

fof(f267,plain,
    ? [X0] :
      ( l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ! [X3] :
                  ( ( ( ( r2_hidden(X2,X1)
                        & r2_hidden(X3,X1) )
                      | ~ r2_hidden(k4_lattices(X0,X2,X3),X1) )
                    & ( r2_hidden(k4_lattices(X0,X2,X3),X1)
                      | ~ r2_hidden(X2,X1)
                      | ~ r2_hidden(X3,X1) ) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
          & ~ m2_lattice4(X1,X0) ) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f146,plain,
    ? [X0] :
      ( l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ! [X3] :
                  ( ( ( r2_hidden(X2,X1)
                      & r2_hidden(X3,X1) )
                  <=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
          & ~ m2_lattice4(X1,X0) ) ),
    inference(flattening,[],[f145]) ).

fof(f145,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ m2_lattice4(X1,X0)
          & ! [X2] :
              ( ~ m1_subset_1(X2,u1_struct_0(X0))
              | ! [X3] :
                  ( ( ( r2_hidden(X2,X1)
                      & r2_hidden(X3,X1) )
                  <=> r2_hidden(k4_lattices(X0,X2,X3),X1) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
           => ( ! [X2] :
                  ( m1_subset_1(X2,u1_struct_0(X0))
                 => ! [X3] :
                      ( m1_subset_1(X3,u1_struct_0(X0))
                     => ( ( r2_hidden(X2,X1)
                          & r2_hidden(X3,X1) )
                      <=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
             => m2_lattice4(X1,X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                   => ( ( r2_hidden(X2,X1)
                        & r2_hidden(X3,X1) )
                    <=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
           => m2_lattice4(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_2) ).

fof(f1758,plain,
    ( ~ r2_hidden(k4_lattices(sK23,sK18(sK23,sK24),sK19(sK23,sK24)),sK24)
    | spl26_54 ),
    inference(avatar_component_clause,[],[f1756]) ).

fof(f1801,plain,
    ( spl26_7
    | spl26_34
    | ~ spl26_8
    | spl26_33
    | ~ spl26_26
    | ~ spl26_53 ),
    inference(avatar_split_clause,[],[f1793,f1752,f606,f657,f460,f661,f456]) ).

fof(f1793,plain,
    ( ~ l3_lattices(sK23)
    | r2_hidden(sK18(sK23,sK24),sK24)
    | ~ v10_lattices(sK23)
    | m2_lattice4(sK24,sK23)
    | v3_struct_0(sK23)
    | ~ spl26_53 ),
    inference(resolution,[],[f1753,f353]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | r2_hidden(sK18(X0,X1),X1)
      | m2_lattice4(X1,X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f1753,plain,
    ( m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    | ~ spl26_53 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f1797,plain,
    ( ~ spl26_8
    | spl26_34
    | ~ spl26_26
    | spl26_7
    | spl26_35
    | ~ spl26_53 ),
    inference(avatar_split_clause,[],[f1792,f1752,f679,f456,f606,f661,f460]) ).

fof(f1792,plain,
    ( r2_hidden(sK19(sK23,sK24),sK24)
    | v3_struct_0(sK23)
    | ~ l3_lattices(sK23)
    | m2_lattice4(sK24,sK23)
    | ~ v10_lattices(sK23)
    | ~ spl26_53 ),
    inference(resolution,[],[f1753,f354]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | m2_lattice4(X1,X0)
      | r2_hidden(sK19(X0,X1),X1)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f1788,plain,
    spl26_53,
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | spl26_53 ),
    inference(resolution,[],[f1754,f379]) ).

fof(f379,plain,
    m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23))),
    inference(cnf_transformation,[],[f271]) ).

fof(f1754,plain,
    ( ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    | spl26_53 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f1775,plain,
    ( spl26_7
    | ~ spl26_26
    | ~ spl26_53
    | spl26_34
    | ~ spl26_8
    | spl26_52 ),
    inference(avatar_split_clause,[],[f1770,f1748,f460,f661,f1752,f606,f456]) ).

fof(f1770,plain,
    ( ~ v10_lattices(sK23)
    | m2_lattice4(sK24,sK23)
    | ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    | ~ l3_lattices(sK23)
    | v3_struct_0(sK23)
    | spl26_52 ),
    inference(resolution,[],[f1750,f355]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( m1_subset_1(sK19(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | m2_lattice4(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f1750,plain,
    ( ~ m1_subset_1(sK19(sK23,sK24),u1_struct_0(sK23))
    | spl26_52 ),
    inference(avatar_component_clause,[],[f1748]) ).

fof(f1763,plain,
    ( ~ spl26_52
    | ~ spl26_8
    | ~ spl26_53
    | spl26_34
    | spl26_7
    | ~ spl26_54
    | ~ spl26_33
    | ~ spl26_55
    | ~ spl26_26
    | ~ spl26_49 ),
    inference(avatar_split_clause,[],[f1737,f1720,f606,f1760,f657,f1756,f456,f661,f1752,f460,f1748]) ).

fof(f1720,plain,
    ( spl26_49
  <=> ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24)
        | r2_hidden(k3_lattices(sK23,X0,X1),sK24)
        | ~ m1_subset_1(X1,u1_struct_0(sK23)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_49])]) ).

fof(f1737,plain,
    ( ~ l3_lattices(sK23)
    | ~ m1_subset_1(sK18(sK23,sK24),u1_struct_0(sK23))
    | ~ r2_hidden(sK18(sK23,sK24),sK24)
    | ~ r2_hidden(k4_lattices(sK23,sK18(sK23,sK24),sK19(sK23,sK24)),sK24)
    | v3_struct_0(sK23)
    | m2_lattice4(sK24,sK23)
    | ~ m1_subset_1(sK24,k1_zfmisc_1(u1_struct_0(sK23)))
    | ~ v10_lattices(sK23)
    | ~ m1_subset_1(sK19(sK23,sK24),u1_struct_0(sK23))
    | ~ spl26_49 ),
    inference(resolution,[],[f1721,f352]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(k3_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ r2_hidden(k4_lattices(X0,sK18(X0,X1),sK19(X0,X1)),X1)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | m2_lattice4(X1,X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f1721,plain,
    ( ! [X0,X1] :
        ( r2_hidden(k3_lattices(sK23,X0,X1),sK24)
        | ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24) )
    | ~ spl26_49 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f1722,plain,
    ( spl26_7
    | ~ spl26_31
    | ~ spl26_14
    | spl26_49
    | ~ spl26_47 ),
    inference(avatar_split_clause,[],[f1714,f1699,f1720,f494,f639,f456]) ).

fof(f639,plain,
    ( spl26_31
  <=> l2_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).

fof(f494,plain,
    ( spl26_14
  <=> v4_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).

fof(f1699,plain,
    ( spl26_47
  <=> ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24)
        | r2_hidden(k1_lattices(sK23,X0,X1),sK24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_47])]) ).

fof(f1714,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ v4_lattices(sK23)
        | ~ l2_lattices(sK23)
        | v3_struct_0(sK23)
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | r2_hidden(k3_lattices(sK23,X0,X1),sK24)
        | ~ r2_hidden(X0,sK24) )
    | ~ spl26_47 ),
    inference(duplicate_literal_removal,[],[f1713]) ).

fof(f1713,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK23))
        | v3_struct_0(sK23)
        | ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ l2_lattices(sK23)
        | ~ v4_lattices(sK23)
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24)
        | r2_hidden(k3_lattices(sK23,X0,X1),sK24) )
    | ~ spl26_47 ),
    inference(superposition,[],[f1700,f306]) ).

fof(f306,plain,
    ! [X2,X0,X1] :
      ( k3_lattices(X1,X0,X2) = k1_lattices(X1,X0,X2)
      | ~ l2_lattices(X1)
      | v3_struct_0(X1)
      | ~ v4_lattices(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0,X1,X2] :
      ( ~ v4_lattices(X1)
      | k3_lattices(X1,X0,X2) = k1_lattices(X1,X0,X2)
      | v3_struct_0(X1)
      | ~ l2_lattices(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X0,X2,X1] :
      ( ~ v4_lattices(X2)
      | k1_lattices(X2,X0,X1) = k3_lattices(X2,X0,X1)
      | v3_struct_0(X2)
      | ~ l2_lattices(X2)
      | ~ m1_subset_1(X0,u1_struct_0(X2))
      | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0,X2,X1] :
      ( k1_lattices(X2,X0,X1) = k3_lattices(X2,X0,X1)
      | ~ l2_lattices(X2)
      | v3_struct_0(X2)
      | ~ v4_lattices(X2)
      | ~ m1_subset_1(X1,u1_struct_0(X2))
      | ~ m1_subset_1(X0,u1_struct_0(X2)) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X2,X1] :
      ( ( l2_lattices(X2)
        & ~ v3_struct_0(X2)
        & v4_lattices(X2)
        & m1_subset_1(X1,u1_struct_0(X2))
        & m1_subset_1(X0,u1_struct_0(X2)) )
     => k1_lattices(X2,X0,X1) = k3_lattices(X2,X0,X1) ),
    inference(rectify,[],[f75]) ).

fof(f75,axiom,
    ! [X1,X2,X0] :
      ( ( m1_subset_1(X2,u1_struct_0(X0))
        & ~ v3_struct_0(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & v4_lattices(X0)
        & l2_lattices(X0) )
     => k3_lattices(X0,X1,X2) = k1_lattices(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).

fof(f1700,plain,
    ( ! [X0,X1] :
        ( r2_hidden(k1_lattices(sK23,X0,X1),sK24)
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24)
        | ~ m1_subset_1(X0,u1_struct_0(sK23)) )
    | ~ spl26_47 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f1701,plain,
    ( ~ spl26_31
    | spl26_7
    | spl26_47
    | ~ spl26_44 ),
    inference(avatar_split_clause,[],[f1688,f1358,f1699,f456,f639]) ).

fof(f1358,plain,
    ( spl26_44
  <=> ! [X2,X3] :
        ( ~ m1_subset_1(X2,u1_struct_0(sK23))
        | ~ r2_hidden(X2,sK24)
        | r2_hidden(k1_lattices(sK23,X2,X3),sK24)
        | ~ m1_subset_1(k1_lattices(sK23,X2,X3),u1_struct_0(sK23))
        | ~ m1_subset_1(X3,u1_struct_0(sK23)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).

fof(f1688,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK23))
        | v3_struct_0(sK23)
        | ~ l2_lattices(sK23)
        | r2_hidden(k1_lattices(sK23,X0,X1),sK24)
        | ~ r2_hidden(X0,sK24)
        | ~ m1_subset_1(X1,u1_struct_0(sK23)) )
    | ~ spl26_44 ),
    inference(duplicate_literal_removal,[],[f1682]) ).

fof(f1682,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ m1_subset_1(X0,u1_struct_0(sK23))
        | ~ r2_hidden(X0,sK24)
        | ~ l2_lattices(sK23)
        | v3_struct_0(sK23)
        | ~ m1_subset_1(X1,u1_struct_0(sK23))
        | ~ m1_subset_1(X0,u1_struct_0(sK23))
        | r2_hidden(k1_lattices(sK23,X0,X1),sK24) )
    | ~ spl26_44 ),
    inference(resolution,[],[f1359,f320]) ).

fof(f320,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(k1_lattices(X0,X2,X1),u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X2] :
      ( ~ l2_lattices(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | m1_subset_1(k1_lattices(X0,X2,X1),u1_struct_0(X0)) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X1,X0,X2] :
      ( ~ l2_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | v3_struct_0(X1)
      | m1_subset_1(k1_lattices(X1,X2,X0),u1_struct_0(X1)) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X1,X0,X2] :
      ( m1_subset_1(k1_lattices(X1,X2,X0),u1_struct_0(X1))
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | v3_struct_0(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ l2_lattices(X1) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X1,X0,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X1))
        & ~ v3_struct_0(X1)
        & m1_subset_1(X0,u1_struct_0(X1))
        & l2_lattices(X1) )
     => m1_subset_1(k1_lattices(X1,X2,X0),u1_struct_0(X1)) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ( l2_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0))
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattices) ).

fof(f1359,plain,
    ( ! [X2,X3] :
        ( ~ m1_subset_1(k1_lattices(sK23,X2,X3),u1_struct_0(sK23))
        | ~ r2_hidden(X2,sK24)
        | r2_hidden(k1_lattices(sK23,X2,X3),sK24)
        | ~ m1_subset_1(X3,u1_struct_0(sK23))
        | ~ m1_subset_1(X2,u1_struct_0(sK23)) )
    | ~ spl26_44 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f1398,plain,
    ( ~ spl26_29
    | ~ spl26_26
    | ~ spl26_16
    | spl26_7
    | ~ spl26_12
    | spl26_44 ),
    inference(avatar_split_clause,[],[f1392,f1358,f480,f456,f508,f606,f629]) ).

fof(f629,plain,
    ( spl26_29
  <=> l1_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).

fof(f508,plain,
    ( spl26_16
  <=> v9_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).

fof(f480,plain,
    ( spl26_12
  <=> v6_lattices(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).

fof(f1392,plain,
    ! [X2,X3] :
      ( ~ m1_subset_1(X3,u1_struct_0(sK23))
      | ~ v6_lattices(sK23)
      | ~ m1_subset_1(X2,u1_struct_0(sK23))
      | ~ r2_hidden(X2,sK24)
      | r2_hidden(k1_lattices(sK23,X2,X3),sK24)
      | v3_struct_0(sK23)
      | ~ v9_lattices(sK23)
      | ~ l3_lattices(sK23)
      | ~ l1_lattices(sK23)
      | ~ m1_subset_1(k1_lattices(sK23,X2,X3),u1_struct_0(sK23)) ),
    inference(duplicate_literal_removal,[],[f1364]) ).

fof(f1364,plain,
    ! [X2,X3] :
      ( ~ m1_subset_1(k1_lattices(sK23,X2,X3),u1_struct_0(sK23))
      | ~ v6_lattices(sK23)
      | ~ m1_subset_1(X3,u1_struct_0(sK23))
      | ~ r2_hidden(X2,sK24)
      | r2_hidden(k1_lattices(sK23,X2,X3),sK24)
      | ~ l1_lattices(sK23)
      | ~ m1_subset_1(X2,u1_struct_0(sK23))
      | ~ l3_lattices(sK23)
      | v3_struct_0(sK23)
      | ~ m1_subset_1(X2,u1_struct_0(sK23))
      | ~ v9_lattices(sK23)
      | ~ m1_subset_1(k1_lattices(sK23,X2,X3),u1_struct_0(sK23)) ),
    inference(superposition,[],[f377,f777]) ).

fof(f777,plain,
    ! [X2,X0,X1] :
      ( k4_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f773]) ).

fof(f773,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | k4_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
      | v3_struct_0(X0)
      | ~ v6_lattices(X0)
      | ~ l1_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0) ),
    inference(superposition,[],[f321,f325]) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1
      | v3_struct_0(X0)
      | ~ v9_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ( ( ! [X1] :
              ( ! [X2] :
                  ( ~ m1_subset_1(X2,u1_struct_0(X0))
                  | k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 )
              | ~ m1_subset_1(X1,u1_struct_0(X0)) )
          | ~ v9_lattices(X0) )
        & ( v9_lattices(X0)
          | ( m1_subset_1(sK11(X0),u1_struct_0(X0))
            & k2_lattices(X0,sK10(X0),k1_lattices(X0,sK10(X0),sK11(X0))) != sK10(X0)
            & m1_subset_1(sK10(X0),u1_struct_0(X0)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f230,f232,f231]) ).

fof(f231,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( m1_subset_1(X4,u1_struct_0(X0))
              & k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) != X3 )
          & m1_subset_1(X3,u1_struct_0(X0)) )
     => ( ? [X4] :
            ( m1_subset_1(X4,u1_struct_0(X0))
            & k2_lattices(X0,sK10(X0),k1_lattices(X0,sK10(X0),X4)) != sK10(X0) )
        & m1_subset_1(sK10(X0),u1_struct_0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f232,plain,
    ! [X0] :
      ( ? [X4] :
          ( m1_subset_1(X4,u1_struct_0(X0))
          & k2_lattices(X0,sK10(X0),k1_lattices(X0,sK10(X0),X4)) != sK10(X0) )
     => ( m1_subset_1(sK11(X0),u1_struct_0(X0))
        & k2_lattices(X0,sK10(X0),k1_lattices(X0,sK10(X0),sK11(X0))) != sK10(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f230,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ( ( ! [X1] :
              ( ! [X2] :
                  ( ~ m1_subset_1(X2,u1_struct_0(X0))
                  | k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 )
              | ~ m1_subset_1(X1,u1_struct_0(X0)) )
          | ~ v9_lattices(X0) )
        & ( v9_lattices(X0)
          | ? [X3] :
              ( ? [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X0))
                  & k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) != X3 )
              & m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
    inference(rectify,[],[f229]) ).

fof(f229,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ( ( ! [X1] :
              ( ! [X2] :
                  ( ~ m1_subset_1(X2,u1_struct_0(X0))
                  | k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 )
              | ~ m1_subset_1(X1,u1_struct_0(X0)) )
          | ~ v9_lattices(X0) )
        & ( v9_lattices(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( m1_subset_1(X2,u1_struct_0(X0))
                  & k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) != X1 )
              & m1_subset_1(X1,u1_struct_0(X0)) ) ) ) ),
    inference(nnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ( ! [X1] :
            ( ! [X2] :
                ( ~ m1_subset_1(X2,u1_struct_0(X0))
                | k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 )
            | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      <=> v9_lattices(X0) ) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ! [X2] :
                ( ~ m1_subset_1(X2,u1_struct_0(X0))
                | k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 )
            | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      <=> v9_lattices(X0) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) )
      <=> v9_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattices) ).

fof(f321,plain,
    ! [X2,X0,X1] :
      ( k4_lattices(X2,X0,X1) = k2_lattices(X2,X0,X1)
      | v3_struct_0(X2)
      | ~ l1_lattices(X2)
      | ~ v6_lattices(X2)
      | ~ m1_subset_1(X0,u1_struct_0(X2))
      | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X2)
      | ~ l1_lattices(X2)
      | ~ m1_subset_1(X0,u1_struct_0(X2))
      | ~ v6_lattices(X2)
      | k4_lattices(X2,X0,X1) = k2_lattices(X2,X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    inference(rectify,[],[f190]) ).

fof(f190,plain,
    ! [X0,X2,X1] :
      ( v3_struct_0(X1)
      | ~ l1_lattices(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ v6_lattices(X1)
      | k4_lattices(X1,X0,X2) = k2_lattices(X1,X0,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(flattening,[],[f189]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( k4_lattices(X1,X0,X2) = k2_lattices(X1,X0,X2)
      | v3_struct_0(X1)
      | ~ m1_subset_1(X0,u1_struct_0(X1))
      | ~ l1_lattices(X1)
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ v6_lattices(X1) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ( ~ v3_struct_0(X1)
        & m1_subset_1(X0,u1_struct_0(X1))
        & l1_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1))
        & v6_lattices(X1) )
     => k4_lattices(X1,X0,X2) = k2_lattices(X1,X0,X2) ),
    inference(rectify,[],[f76]) ).

fof(f76,axiom,
    ! [X1,X0,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X0))
        & v6_lattices(X0)
        & ~ v3_struct_0(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & l1_lattices(X0) )
     => k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).

fof(f377,plain,
    ! [X2,X3] :
      ( ~ r2_hidden(k4_lattices(sK23,X2,X3),sK24)
      | r2_hidden(X3,sK24)
      | ~ m1_subset_1(X2,u1_struct_0(sK23))
      | ~ m1_subset_1(X3,u1_struct_0(sK23)) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f758,plain,
    ~ spl26_34,
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl26_34 ),
    inference(resolution,[],[f663,f375]) ).

fof(f375,plain,
    ~ m2_lattice4(sK24,sK23),
    inference(cnf_transformation,[],[f271]) ).

fof(f663,plain,
    ( m2_lattice4(sK24,sK23)
    | ~ spl26_34 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f704,plain,
    ( spl26_7
    | ~ spl26_8
    | spl26_16
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f696,f606,f508,f460,f456]) ).

fof(f696,plain,
    ( v9_lattices(sK23)
    | ~ v10_lattices(sK23)
    | v3_struct_0(sK23)
    | ~ spl26_26 ),
    inference(resolution,[],[f607,f391]) ).

fof(f391,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | v9_lattices(X0)
      | ~ v10_lattices(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ( v5_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0)
        & ~ v3_struct_0(X0)
        & v4_lattices(X0)
        & v6_lattices(X0)
        & v7_lattices(X0) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( v5_lattices(X0)
        & v8_lattices(X0)
        & v9_lattices(X0)
        & ~ v3_struct_0(X0)
        & v4_lattices(X0)
        & v6_lattices(X0)
        & v7_lattices(X0) )
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( ( v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ( v5_lattices(X0)
          & v8_lattices(X0)
          & v9_lattices(X0)
          & ~ v3_struct_0(X0)
          & v4_lattices(X0)
          & v6_lattices(X0)
          & v7_lattices(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).

fof(f607,plain,
    ( l3_lattices(sK23)
    | ~ spl26_26 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f703,plain,
    ( spl26_29
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f692,f606,f629]) ).

fof(f692,plain,
    ( l1_lattices(sK23)
    | ~ spl26_26 ),
    inference(resolution,[],[f607,f385]) ).

fof(f385,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f702,plain,
    ( spl26_31
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f691,f606,f639]) ).

fof(f691,plain,
    ( l2_lattices(sK23)
    | ~ spl26_26 ),
    inference(resolution,[],[f607,f384]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f700,plain,
    ( spl26_12
    | spl26_7
    | ~ spl26_8
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f694,f606,f460,f456,f480]) ).

fof(f694,plain,
    ( ~ v10_lattices(sK23)
    | v3_struct_0(sK23)
    | v6_lattices(sK23)
    | ~ spl26_26 ),
    inference(resolution,[],[f607,f388]) ).

fof(f388,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | v6_lattices(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f699,plain,
    ( ~ spl26_8
    | spl26_14
    | spl26_7
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f695,f606,f456,f494,f460]) ).

fof(f695,plain,
    ( v3_struct_0(sK23)
    | v4_lattices(sK23)
    | ~ v10_lattices(sK23)
    | ~ spl26_26 ),
    inference(resolution,[],[f607,f389]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v4_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f667,plain,
    spl26_26,
    inference(avatar_contradiction_clause,[],[f666]) ).

fof(f666,plain,
    ( $false
    | spl26_26 ),
    inference(resolution,[],[f608,f382]) ).

fof(f382,plain,
    l3_lattices(sK23),
    inference(cnf_transformation,[],[f271]) ).

fof(f608,plain,
    ( ~ l3_lattices(sK23)
    | spl26_26 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f504,plain,
    ~ spl26_7,
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | ~ spl26_7 ),
    inference(resolution,[],[f458,f380]) ).

fof(f380,plain,
    ~ v3_struct_0(sK23),
    inference(cnf_transformation,[],[f271]) ).

fof(f458,plain,
    ( v3_struct_0(sK23)
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f490,plain,
    spl26_8,
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | spl26_8 ),
    inference(resolution,[],[f462,f381]) ).

fof(f381,plain,
    v10_lattices(sK23),
    inference(cnf_transformation,[],[f271]) ).

fof(f462,plain,
    ( ~ v10_lattices(sK23)
    | spl26_8 ),
    inference(avatar_component_clause,[],[f460]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31  % Computer : n005.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Tue Aug 30 01:02:18 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.46  % (6016)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.47  % (6002)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.47  % (6010)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47  % (6008)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.47  % (6000)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48  % (6018)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48  % (6008)Instruction limit reached!
% 0.15/0.48  % (6008)------------------------------
% 0.15/0.48  % (6008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (6008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (6008)Termination reason: Unknown
% 0.15/0.49  % (6008)Termination phase: Preprocessing 3
% 0.15/0.49  
% 0.15/0.49  % (6008)Memory used [KB]: 1535
% 0.15/0.49  % (6008)Time elapsed: 0.004 s
% 0.15/0.49  % (6008)Instructions burned: 3 (million)
% 0.15/0.49  % (6008)------------------------------
% 0.15/0.49  % (6008)------------------------------
% 0.15/0.50  % (5996)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.51  % (5997)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51  % (5994)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.51  % (6001)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.52  % (6019)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.15/0.52  % (6020)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52  % (5996)Instruction limit reached!
% 0.15/0.52  % (5996)------------------------------
% 0.15/0.52  % (5996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (5996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (5996)Termination reason: Unknown
% 0.15/0.52  % (5996)Termination phase: Preprocessing 3
% 0.15/0.52  
% 0.15/0.52  % (5996)Memory used [KB]: 1535
% 0.15/0.52  % (5996)Time elapsed: 0.004 s
% 0.15/0.52  % (5996)Instructions burned: 3 (million)
% 0.15/0.52  % (5996)------------------------------
% 0.15/0.52  % (5996)------------------------------
% 0.15/0.52  % (5998)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.52  % (5999)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.52  % (6012)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.52  % (6000)Instruction limit reached!
% 0.15/0.52  % (6000)------------------------------
% 0.15/0.52  % (6000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (6000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (6000)Termination reason: Unknown
% 0.15/0.52  % (6000)Termination phase: Saturation
% 0.15/0.52  
% 0.15/0.52  % (6000)Memory used [KB]: 6524
% 0.15/0.52  % (6000)Time elapsed: 0.136 s
% 0.15/0.52  % (6000)Instructions burned: 39 (million)
% 0.15/0.52  % (6000)------------------------------
% 0.15/0.52  % (6000)------------------------------
% 0.15/0.53  % (6011)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.53  % (6004)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.53  % (6006)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.53  % (6005)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.53  % (6017)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.53  % (6007)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53  % (6003)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.53  % (6012)Instruction limit reached!
% 0.15/0.53  % (6012)------------------------------
% 0.15/0.53  % (6012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (6012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (6012)Termination reason: Unknown
% 0.15/0.53  % (6012)Termination phase: Preprocessing 1
% 0.15/0.53  
% 0.15/0.53  % (6012)Memory used [KB]: 1407
% 0.15/0.53  % (6012)Time elapsed: 0.003 s
% 0.15/0.53  % (6012)Instructions burned: 2 (million)
% 0.15/0.53  % (6012)------------------------------
% 0.15/0.53  % (6012)------------------------------
% 0.15/0.53  % (6015)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54  % (5998)Instruction limit reached!
% 0.15/0.54  % (5998)------------------------------
% 0.15/0.54  % (5998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (5998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (5998)Termination reason: Unknown
% 0.15/0.54  % (5998)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (5998)Memory used [KB]: 6268
% 0.15/0.54  % (5998)Time elapsed: 0.156 s
% 0.15/0.54  % (5998)Instructions burned: 14 (million)
% 0.15/0.54  % (5998)------------------------------
% 0.15/0.54  % (5998)------------------------------
% 0.15/0.54  % (6014)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.54  % (6013)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.54  % (6023)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.54  % (6004)Instruction limit reached!
% 0.15/0.54  % (6004)------------------------------
% 0.15/0.54  % (6004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (6004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (6004)Termination reason: Unknown
% 0.15/0.54  % (6004)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (6004)Memory used [KB]: 6268
% 0.15/0.54  % (6004)Time elapsed: 0.163 s
% 0.15/0.54  % (6004)Instructions burned: 12 (million)
% 0.15/0.54  % (6004)------------------------------
% 0.15/0.54  % (6004)------------------------------
% 0.15/0.55  % (6011)Instruction limit reached!
% 0.15/0.55  % (6011)------------------------------
% 0.15/0.55  % (6011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (6011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (6011)Termination reason: Unknown
% 0.15/0.55  % (6011)Termination phase: Naming
% 0.15/0.55  
% 0.15/0.55  % (6011)Memory used [KB]: 1535
% 0.15/0.55  % (6011)Time elapsed: 0.004 s
% 0.15/0.55  % (6011)Instructions burned: 3 (million)
% 0.15/0.55  % (6011)------------------------------
% 0.15/0.55  % (6011)------------------------------
% 0.15/0.55  % (6009)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.55  % (6021)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.55  % (6022)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.55  % (5999)Instruction limit reached!
% 0.15/0.55  % (5999)------------------------------
% 0.15/0.55  % (5999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (5999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (5999)Termination reason: Unknown
% 0.15/0.55  % (5999)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (5999)Memory used [KB]: 1791
% 0.15/0.55  % (5999)Time elapsed: 0.171 s
% 0.15/0.55  % (5999)Instructions burned: 15 (million)
% 0.15/0.55  % (5999)------------------------------
% 0.15/0.55  % (5999)------------------------------
% 0.15/0.55  % (6005)Instruction limit reached!
% 0.15/0.55  % (6005)------------------------------
% 0.15/0.55  % (6005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (6005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (6005)Termination reason: Unknown
% 0.15/0.55  % (6005)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (6005)Memory used [KB]: 6140
% 0.15/0.55  % (6005)Time elapsed: 0.006 s
% 0.15/0.55  % (6005)Instructions burned: 7 (million)
% 0.15/0.55  % (6005)------------------------------
% 0.15/0.55  % (6005)------------------------------
% 0.15/0.56  % (6006)Instruction limit reached!
% 0.15/0.56  % (6006)------------------------------
% 0.15/0.56  % (6006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (6006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (6006)Termination reason: Unknown
% 0.15/0.56  % (6006)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (6006)Memory used [KB]: 1918
% 0.15/0.56  % (6006)Time elapsed: 0.185 s
% 0.15/0.56  % (6006)Instructions burned: 16 (million)
% 0.15/0.56  % (6006)------------------------------
% 0.15/0.56  % (6006)------------------------------
% 0.15/0.56  % (6009)Instruction limit reached!
% 0.15/0.56  % (6009)------------------------------
% 0.15/0.56  % (6009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (6009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (6009)Termination reason: Unknown
% 0.15/0.56  % (6009)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (6009)Memory used [KB]: 6140
% 0.15/0.56  % (6009)Time elapsed: 0.007 s
% 0.15/0.56  % (6009)Instructions burned: 7 (million)
% 0.15/0.56  % (6009)------------------------------
% 0.15/0.56  % (6009)------------------------------
% 0.15/0.56  % (6013)Instruction limit reached!
% 0.15/0.56  % (6013)------------------------------
% 0.15/0.56  % (6013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (6013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (6013)Termination reason: Unknown
% 0.15/0.56  % (6013)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (6013)Memory used [KB]: 6268
% 0.15/0.56  % (6013)Time elapsed: 0.173 s
% 0.15/0.56  % (6013)Instructions burned: 12 (million)
% 0.15/0.56  % (6013)------------------------------
% 0.15/0.56  % (6013)------------------------------
% 0.15/0.57  % (5995)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.57  % (6010)Instruction limit reached!
% 0.15/0.57  % (6010)------------------------------
% 0.15/0.57  % (6010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (6002)Instruction limit reached!
% 0.15/0.57  % (6002)------------------------------
% 0.15/0.57  % (6002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (6002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (6002)Termination reason: Unknown
% 0.15/0.57  % (6002)Termination phase: Saturation
% 1.95/0.57  
% 1.95/0.57  % (6002)Memory used [KB]: 6908
% 1.95/0.57  % (6002)Time elapsed: 0.173 s
% 1.95/0.57  % (6002)Instructions burned: 49 (million)
% 1.95/0.57  % (6002)------------------------------
% 1.95/0.57  % (6002)------------------------------
% 1.95/0.57  % (6010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.57  % (6010)Termination reason: Unknown
% 1.95/0.57  % (6010)Termination phase: Saturation
% 1.95/0.57  
% 1.95/0.57  % (6010)Memory used [KB]: 7164
% 1.95/0.57  % (6010)Time elapsed: 0.196 s
% 1.95/0.57  % (6010)Instructions burned: 50 (million)
% 1.95/0.57  % (6010)------------------------------
% 1.95/0.57  % (6010)------------------------------
% 1.95/0.57  % (6022)Instruction limit reached!
% 1.95/0.57  % (6022)------------------------------
% 1.95/0.57  % (6022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.57  % (6022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.57  % (6022)Termination reason: Unknown
% 1.95/0.57  % (6022)Termination phase: Saturation
% 1.95/0.57  
% 1.95/0.57  % (6022)Memory used [KB]: 6268
% 1.95/0.57  % (6022)Time elapsed: 0.008 s
% 1.95/0.57  % (6022)Instructions burned: 9 (million)
% 1.95/0.57  % (6022)------------------------------
% 1.95/0.57  % (6022)------------------------------
% 1.95/0.58  % (6018)Instruction limit reached!
% 1.95/0.58  % (6018)------------------------------
% 1.95/0.58  % (6018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.58  % (6018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.58  % (6018)Termination reason: Unknown
% 1.95/0.58  % (6018)Termination phase: Saturation
% 1.95/0.58  
% 1.95/0.58  % (6018)Memory used [KB]: 6652
% 1.95/0.58  % (6018)Time elapsed: 0.191 s
% 1.95/0.58  % (6018)Instructions burned: 50 (million)
% 1.95/0.58  % (6018)------------------------------
% 1.95/0.58  % (6018)------------------------------
% 1.95/0.58  % (6016)First to succeed.
% 1.95/0.59  % (6016)Refutation found. Thanks to Tanya!
% 1.95/0.59  % SZS status Theorem for theBenchmark
% 1.95/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.59  % (6016)------------------------------
% 1.95/0.59  % (6016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (6016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (6016)Termination reason: Refutation
% 1.95/0.59  
% 1.95/0.59  % (6016)Memory used [KB]: 7036
% 1.95/0.59  % (6016)Time elapsed: 0.189 s
% 1.95/0.59  % (6016)Instructions burned: 55 (million)
% 1.95/0.59  % (6016)------------------------------
% 1.95/0.59  % (6016)------------------------------
% 1.95/0.59  % (5993)Success in time 0.264 s
%------------------------------------------------------------------------------