TSTP Solution File: LAT380+1 by Vampire---4.8

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT380+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 : Mon May 20 23:36:39 EDT 2024

% Result   : Theorem 0.78s 0.81s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  340 (  23 unt;   1 typ;   0 def)
%            Number of atoms       : 11694 (   0 equ)
%            Maximal formula atoms :   28 (  34 avg)
%            Number of connectives : 6188 (2904   ~;2902   |; 328   &)
%                                         (  18 <=>;  34  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   27 (  11 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 8071 (8071 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   50 (  49 usr;  16 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  134 ( 127   !;   6   ?;  44   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_62,type,
    sQ36_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1674,plain,
    $false,
    inference(avatar_sat_refutation,[],[f763,f767,f771,f775,f781,f1442,f1480,f1494,f1513,f1529,f1545,f1563,f1566,f1609,f1624,f1640,f1656,f1673]) ).

tff(f1673,plain,
    ( ~ spl37_39
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_4 ),
    inference(avatar_split_clause,[],[f1672,f769,f1440,f1437,f1434,f1431,f1428]) ).

tff(f1428,plain,
    ( spl37_39
  <=> v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_39])]) ).

tff(f1431,plain,
    ( spl37_40
  <=> m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_40])]) ).

tff(f1434,plain,
    ( spl37_41
  <=> v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_41])]) ).

tff(f1437,plain,
    ( spl37_42
  <=> v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_42])]) ).

tff(f1440,plain,
    ( spl37_43
  <=> v1_funct_1(k1_waybel34(sK0,sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_43])]) ).

tff(f769,plain,
    ( spl37_4
  <=> v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_4])]) ).

tff(f1672,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1671,f387]) ).

tff(f387,plain,
    v2_orders_2(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f191,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( v22_waybel_0(X2,X0,X1)
              <~> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                  & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) )
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v17_waybel_0(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          & v2_waybel_8(X1)
          & l1_orders_2(X1)
          & v3_lattice3(X1)
          & v2_lattice3(X1)
          & v1_lattice3(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
      & l1_orders_2(X0)
      & v3_lattice3(X0)
      & v2_lattice3(X0)
      & v1_lattice3(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(flattening,[],[f190]) ).

tff(f190,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( v22_waybel_0(X2,X0,X1)
              <~> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                  & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) )
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v17_waybel_0(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          & v2_waybel_8(X1)
          & l1_orders_2(X1)
          & v3_lattice3(X1)
          & v2_lattice3(X1)
          & v1_lattice3(X1)
          & v4_orders_2(X1)
          & v3_orders_2(X1)
          & v2_orders_2(X1) )
      & l1_orders_2(X0)
      & v3_lattice3(X0)
      & v2_lattice3(X0)
      & v1_lattice3(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_orders_2(X0)
          & v3_lattice3(X0)
          & v2_lattice3(X0)
          & v1_lattice3(X0)
          & v4_orders_2(X0)
          & v3_orders_2(X0)
          & v2_orders_2(X0) )
       => ! [X1] :
            ( ( l1_orders_2(X1)
              & v3_lattice3(X1)
              & v2_lattice3(X1)
              & v1_lattice3(X1)
              & v4_orders_2(X1)
              & v3_orders_2(X1)
              & v2_orders_2(X1) )
           => ( v2_waybel_8(X1)
             => ! [X2] :
                  ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                    & v17_waybel_0(X2,X0,X1)
                    & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                    & v1_funct_1(X2) )
                 => ( v22_waybel_0(X2,X0,X1)
                  <=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                      & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                      & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                      & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ( v2_waybel_8(X1)
           => ! [X2] :
                ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v17_waybel_0(X2,X0,X1)
                  & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X2) )
               => ( v22_waybel_0(X2,X0,X1)
                <=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                    & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                    & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                    & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),k1_waybel34(X0,X1,X2),u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_waybel34) ).

tff(f1671,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1670,f385]) ).

tff(f385,plain,
    l1_orders_2(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1670,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1669,f384]) ).

tff(f384,plain,
    v3_lattice3(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1669,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1668,f383]) ).

tff(f383,plain,
    v2_lattice3(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1668,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1667,f382]) ).

tff(f382,plain,
    v1_lattice3(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1667,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1666,f381]) ).

tff(f381,plain,
    v4_orders_2(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1666,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1665,f380]) ).

tff(f380,plain,
    v3_orders_2(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1665,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1664,f379]) ).

tff(f379,plain,
    v2_orders_2(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1664,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1663,f393]) ).

tff(f393,plain,
    l1_orders_2(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1663,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1662,f392]) ).

tff(f392,plain,
    v3_lattice3(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1662,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1661,f391]) ).

tff(f391,plain,
    v2_lattice3(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1661,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1660,f390]) ).

tff(f390,plain,
    v1_lattice3(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1660,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1659,f389]) ).

tff(f389,plain,
    v4_orders_2(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1659,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(subsumption_resolution,[],[f1658,f388]) ).

tff(f388,plain,
    v3_orders_2(sK0),
    inference(cnf_transformation,[],[f191]) ).

tff(f1658,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_4 ),
    inference(resolution,[],[f779,f733]) ).

tff(f733,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_waybel34(X2,X1,X0) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f365,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( v3_waybel34(X2,X1,X0)
              <=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                  & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) )
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f364]) ).

tff(f364,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( v3_waybel34(X2,X1,X0)
              <=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                  & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) )
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f136]) ).

tff(f136,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v18_waybel_0(X2,X1,X0)
                & v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v1_funct_1(X2) )
             => ( v3_waybel34(X2,X1,X0)
              <=> ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
                  & v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
                  & v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1)))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_waybel34) ).

tff(f779,plain,
    ( ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | spl37_4 ),
    inference(avatar_component_clause,[],[f769]) ).

tff(f1656,plain,
    ( ~ spl37_39
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_5 ),
    inference(avatar_split_clause,[],[f1655,f773,f1440,f1437,f1434,f1431,f1428]) ).

tff(f773,plain,
    ( spl37_5
  <=> v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_5])]) ).

tff(f1655,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1654,f387]) ).

tff(f1654,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1653,f385]) ).

tff(f1653,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1652,f384]) ).

tff(f1652,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1651,f383]) ).

tff(f1651,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1650,f382]) ).

tff(f1650,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1649,f381]) ).

tff(f1649,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1648,f380]) ).

tff(f1648,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1647,f379]) ).

tff(f1647,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1646,f393]) ).

tff(f1646,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1645,f392]) ).

tff(f1645,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1644,f391]) ).

tff(f1644,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1643,f390]) ).

tff(f1643,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1642,f389]) ).

tff(f1642,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(subsumption_resolution,[],[f1641,f388]) ).

tff(f1641,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_5 ),
    inference(resolution,[],[f780,f732]) ).

tff(f732,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_waybel34(X2,X1,X0) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f780,plain,
    ( ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | spl37_5 ),
    inference(avatar_component_clause,[],[f773]) ).

tff(f1640,plain,
    ( ~ spl37_39
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_2 ),
    inference(avatar_split_clause,[],[f1639,f761,f1440,f1437,f1434,f1431,f1428]) ).

tff(f761,plain,
    ( spl37_2
  <=> m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_2])]) ).

tff(f1639,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1638,f387]) ).

tff(f1638,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1637,f385]) ).

tff(f1637,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1636,f384]) ).

tff(f1636,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1635,f383]) ).

tff(f1635,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1634,f382]) ).

tff(f1634,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1633,f381]) ).

tff(f1633,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1632,f380]) ).

tff(f1632,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1631,f379]) ).

tff(f1631,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1630,f393]) ).

tff(f1630,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1629,f392]) ).

tff(f1629,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1628,f391]) ).

tff(f1628,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1627,f390]) ).

tff(f1627,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1626,f389]) ).

tff(f1626,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(subsumption_resolution,[],[f1625,f388]) ).

tff(f1625,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_2 ),
    inference(resolution,[],[f777,f735]) ).

tff(f735,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_waybel34(X2,X1,X0) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f777,plain,
    ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | spl37_2 ),
    inference(avatar_component_clause,[],[f761]) ).

tff(f1624,plain,
    ( ~ spl37_39
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_3 ),
    inference(avatar_split_clause,[],[f1623,f765,f1440,f1437,f1434,f1431,f1428]) ).

tff(f765,plain,
    ( spl37_3
  <=> v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_3])]) ).

tff(f1623,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1622,f387]) ).

tff(f1622,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1621,f385]) ).

tff(f1621,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1620,f384]) ).

tff(f1620,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1619,f383]) ).

tff(f1619,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1618,f382]) ).

tff(f1618,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1617,f381]) ).

tff(f1617,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1616,f380]) ).

tff(f1616,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1615,f379]) ).

tff(f1615,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1614,f393]) ).

tff(f1614,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1613,f392]) ).

tff(f1613,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1612,f391]) ).

tff(f1612,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1611,f390]) ).

tff(f1611,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1610,f389]) ).

tff(f1610,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(subsumption_resolution,[],[f1567,f388]) ).

tff(f1567,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_orders_2(sK0)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_3 ),
    inference(resolution,[],[f778,f734]) ).

tff(f734,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_orders_2(X0)
      | ~ v3_waybel34(X2,X1,X0) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f778,plain,
    ( ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | spl37_3 ),
    inference(avatar_component_clause,[],[f765]) ).

tff(f1609,plain,
    ( ~ spl37_1
    | spl37_44 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

tff(f1608,plain,
    ( $false
    | ~ spl37_1
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1607,f387]) ).

tff(f1607,plain,
    ( ~ v2_orders_2(sK0)
    | ~ spl37_1
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1606,f759]) ).

tff(f759,plain,
    ( v22_waybel_0(sK2,sK0,sK1)
    | ~ spl37_1 ),
    inference(avatar_component_clause,[],[f758]) ).

tff(f758,plain,
    ( spl37_1
  <=> v22_waybel_0(sK2,sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_1])]) ).

tff(f1606,plain,
    ( ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1605,f378]) ).

tff(f378,plain,
    m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f191]) ).

tff(f1605,plain,
    ( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1604,f377]) ).

tff(f377,plain,
    v17_waybel_0(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1604,plain,
    ( ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1603,f376]) ).

tff(f376,plain,
    v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f191]) ).

tff(f1603,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1602,f375]) ).

tff(f375,plain,
    v1_funct_1(sK2),
    inference(cnf_transformation,[],[f191]) ).

tff(f1602,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1601,f385]) ).

tff(f1601,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1600,f384]) ).

tff(f1600,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1599,f383]) ).

tff(f1599,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1598,f382]) ).

tff(f1598,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1597,f381]) ).

tff(f1597,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1596,f380]) ).

tff(f1596,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1595,f379]) ).

tff(f1595,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1594,f393]) ).

tff(f1594,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1593,f392]) ).

tff(f1593,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1592,f391]) ).

tff(f1592,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1591,f390]) ).

tff(f1591,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1590,f389]) ).

tff(f1590,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(subsumption_resolution,[],[f1588,f388]) ).

tff(f1588,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v22_waybel_0(sK2,sK0,sK1)
    | ~ v2_orders_2(sK0)
    | spl37_44 ),
    inference(resolution,[],[f1562,f723]) ).

tff(f723,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v22_waybel_0(X2,X0,X1)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f350]) ).

tff(f350,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
              | ~ v22_waybel_0(X2,X0,X1)
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f349]) ).

tff(f349,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
              | ~ v22_waybel_0(X2,X0,X1)
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f127]) ).

tff(f127,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v17_waybel_0(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) )
             => ( v22_waybel_0(X2,X0,X1)
               => v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34) ).

tff(f1562,plain,
    ( ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_44 ),
    inference(avatar_component_clause,[],[f1561]) ).

tff(f1561,plain,
    ( spl37_44
  <=> v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_44])]) ).

tff(f1566,plain,
    ( ~ spl37_3
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | ~ spl37_2
    | ~ spl37_4
    | ~ spl37_5
    | spl37_39 ),
    inference(avatar_split_clause,[],[f1565,f1428,f773,f769,f761,f1440,f1437,f1434,f1431,f765]) ).

tff(f1565,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ spl37_2
    | ~ spl37_4
    | ~ spl37_5
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1564,f387]) ).

tff(f1564,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ v2_orders_2(sK0)
    | ~ spl37_2
    | ~ spl37_4
    | ~ spl37_5
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1460,f762]) ).

tff(f762,plain,
    ( m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ spl37_2 ),
    inference(avatar_component_clause,[],[f761]) ).

tff(f1460,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | ~ spl37_4
    | ~ spl37_5
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1459,f770]) ).

tff(f770,plain,
    ( v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ spl37_4 ),
    inference(avatar_component_clause,[],[f769]) ).

tff(f1459,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | ~ spl37_5
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1458,f774]) ).

tff(f774,plain,
    ( v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ spl37_5 ),
    inference(avatar_component_clause,[],[f773]) ).

tff(f1458,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1457,f385]) ).

tff(f1457,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1456,f384]) ).

tff(f1456,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1455,f383]) ).

tff(f1455,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1454,f382]) ).

tff(f1454,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1453,f381]) ).

tff(f1453,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1452,f380]) ).

tff(f1452,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1451,f379]) ).

tff(f1451,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1450,f393]) ).

tff(f1450,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1449,f392]) ).

tff(f1449,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1448,f391]) ).

tff(f1448,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1447,f390]) ).

tff(f1447,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1446,f389]) ).

tff(f1446,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1445,f388]) ).

tff(f1445,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(resolution,[],[f736,f1429]) ).

tff(f1429,plain,
    ( ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_39 ),
    inference(avatar_component_clause,[],[f1428]) ).

tff(f736,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v3_waybel34(X2,X1,X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
      | ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
      | ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
      | ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f1563,plain,
    ( ~ spl37_44
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_39 ),
    inference(avatar_split_clause,[],[f1559,f1428,f1440,f1437,f1434,f1431,f1561]) ).

tff(f1559,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1558,f387]) ).

tff(f1558,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1557,f385]) ).

tff(f1557,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1556,f384]) ).

tff(f1556,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1555,f383]) ).

tff(f1555,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1554,f382]) ).

tff(f1554,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1553,f381]) ).

tff(f1553,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1552,f380]) ).

tff(f1552,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1551,f379]) ).

tff(f1551,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1550,f393]) ).

tff(f1550,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1549,f392]) ).

tff(f1549,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1548,f391]) ).

tff(f1548,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1547,f390]) ).

tff(f1547,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1546,f389]) ).

tff(f1546,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(subsumption_resolution,[],[f1443,f388]) ).

tff(f1443,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_39 ),
    inference(resolution,[],[f1429,f729]) ).

tff(f729,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v3_waybel34(X2,X1,X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v1_waybel34(X2,X1,X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f360]) ).

tff(f360,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v3_waybel34(X2,X1,X0)
              | ~ v1_waybel34(X2,X1,X0)
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f359]) ).

tff(f359,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v3_waybel34(X2,X1,X0)
              | ~ v1_waybel34(X2,X1,X0)
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f133]) ).

tff(f133,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v18_waybel_0(X2,X1,X0)
                & v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v1_funct_1(X2) )
             => ( v1_waybel34(X2,X1,X0)
               => v3_waybel34(X2,X1,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_waybel34) ).

tff(f1545,plain,
    ( ~ spl37_38
    | spl37_43 ),
    inference(avatar_split_clause,[],[f1544,f1440,f1349]) ).

tff(f1349,plain,
    ( spl37_38
  <=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_38])]) ).

tff(f1544,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1543,f387]) ).

tff(f1543,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1542,f376]) ).

tff(f1542,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1541,f375]) ).

tff(f1541,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1540,f385]) ).

tff(f1540,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1539,f383]) ).

tff(f1539,plain,
    ( ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1538,f382]) ).

tff(f1538,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1537,f381]) ).

tff(f1537,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1536,f380]) ).

tff(f1536,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1535,f379]) ).

tff(f1535,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1534,f393]) ).

tff(f1534,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1533,f391]) ).

tff(f1533,plain,
    ( ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1532,f390]) ).

tff(f1532,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1531,f389]) ).

tff(f1531,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(subsumption_resolution,[],[f1530,f388]) ).

tff(f1530,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_43 ),
    inference(resolution,[],[f1441,f485]) ).

tff(f485,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_funct_1(k1_waybel34(X0,X1,X2))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f277]) ).

tff(f277,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_1(k1_waybel34(X0,X1,X2)) )
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ l1_orders_2(X1)
      | ~ v2_lattice3(X1)
      | ~ v1_lattice3(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f276]) ).

tff(f276,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_1(k1_waybel34(X0,X1,X2)) )
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ l1_orders_2(X1)
      | ~ v2_lattice3(X1)
      | ~ v1_lattice3(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f58]) ).

tff(f58,axiom,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(X2)
        & l1_orders_2(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1)
        & l1_orders_2(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_1(k1_waybel34(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).

tff(f1441,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | spl37_43 ),
    inference(avatar_component_clause,[],[f1440]) ).

tff(f1529,plain,
    ( ~ spl37_38
    | spl37_42 ),
    inference(avatar_split_clause,[],[f1528,f1437,f1349]) ).

tff(f1528,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1527,f387]) ).

tff(f1527,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1526,f376]) ).

tff(f1526,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1525,f375]) ).

tff(f1525,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1524,f385]) ).

tff(f1524,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1523,f383]) ).

tff(f1523,plain,
    ( ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1522,f382]) ).

tff(f1522,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1521,f381]) ).

tff(f1521,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1520,f380]) ).

tff(f1520,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1519,f379]) ).

tff(f1519,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1518,f393]) ).

tff(f1518,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1517,f391]) ).

tff(f1517,plain,
    ( ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1516,f390]) ).

tff(f1516,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1515,f389]) ).

tff(f1515,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(subsumption_resolution,[],[f1514,f388]) ).

tff(f1514,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_42 ),
    inference(resolution,[],[f1438,f486]) ).

tff(f486,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f277]) ).

tff(f1438,plain,
    ( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | spl37_42 ),
    inference(avatar_component_clause,[],[f1437]) ).

tff(f1513,plain,
    ( ~ spl37_38
    | spl37_41 ),
    inference(avatar_split_clause,[],[f1512,f1434,f1349]) ).

tff(f1512,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1511,f387]) ).

tff(f1511,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1510,f377]) ).

tff(f1510,plain,
    ( ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1509,f376]) ).

tff(f1509,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1508,f375]) ).

tff(f1508,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1507,f385]) ).

tff(f1507,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1506,f384]) ).

tff(f1506,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1505,f383]) ).

tff(f1505,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1504,f382]) ).

tff(f1504,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1503,f381]) ).

tff(f1503,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1502,f380]) ).

tff(f1502,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1501,f379]) ).

tff(f1501,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1500,f393]) ).

tff(f1500,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1499,f392]) ).

tff(f1499,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1498,f391]) ).

tff(f1498,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1497,f390]) ).

tff(f1497,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1496,f389]) ).

tff(f1496,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(subsumption_resolution,[],[f1495,f388]) ).

tff(f1495,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_41 ),
    inference(resolution,[],[f1435,f537]) ).

tff(f537,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f300]) ).

tff(f300,plain,
    ! [X0,X1,X2] :
      ( ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) )
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ l1_orders_2(X1)
      | ~ v3_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v1_lattice3(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f299]) ).

tff(f299,plain,
    ! [X0,X1,X2] :
      ( ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) )
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ l1_orders_2(X1)
      | ~ v3_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v1_lattice3(X1)
      | ~ v4_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v2_orders_2(X1)
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f172]) ).

tff(f172,plain,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v17_waybel_0(X2,X0,X1)
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(X2)
        & l1_orders_2(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1)
        & l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
    inference(pure_predicate_removal,[],[f167]) ).

tff(f167,plain,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v17_waybel_0(X2,X0,X1)
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(X2)
        & l1_orders_2(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1)
        & l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
        & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
    inference(pure_predicate_removal,[],[f156]) ).

tff(f156,plain,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v17_waybel_0(X2,X0,X1)
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(X2)
        & l1_orders_2(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1)
        & l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
        & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
    inference(pure_predicate_removal,[],[f85]) ).

tff(f85,axiom,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v17_waybel_0(X2,X0,X1)
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(X2)
        & l1_orders_2(X1)
        & v3_lattice3(X1)
        & v2_lattice3(X1)
        & v1_lattice3(X1)
        & v4_orders_2(X1)
        & v3_orders_2(X1)
        & v2_orders_2(X1)
        & l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v5_orders_3(k1_waybel34(X0,X1,X2),X1,X0)
        & v5_waybel_1(k1_waybel34(X0,X1,X2),X0,X1)
        & v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v20_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
        & v1_partfun1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
        & ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
        & v1_funct_1(k1_waybel34(X0,X1,X2))
        & v1_relat_1(k1_waybel34(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel34) ).

tff(f1435,plain,
    ( ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_41 ),
    inference(avatar_component_clause,[],[f1434]) ).

tff(f1494,plain,
    spl37_38,
    inference(avatar_contradiction_clause,[],[f1493]) ).

tff(f1493,plain,
    ( $false
    | spl37_38 ),
    inference(subsumption_resolution,[],[f969,f1350]) ).

tff(f1350,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | spl37_38 ),
    inference(avatar_component_clause,[],[f1349]) ).

tff(f969,plain,
    m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
    inference(resolution,[],[f717,f378]) ).

tff(f717,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ m2_relset_1(X2,X0,X1)
      | m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

tff(f122,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

tff(f1480,plain,
    ( ~ spl37_38
    | spl37_40 ),
    inference(avatar_split_clause,[],[f1479,f1431,f1349]) ).

tff(f1479,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1478,f387]) ).

tff(f1478,plain,
    ( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1477,f376]) ).

tff(f1477,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1476,f375]) ).

tff(f1476,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1475,f385]) ).

tff(f1475,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1474,f383]) ).

tff(f1474,plain,
    ( ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1473,f382]) ).

tff(f1473,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1472,f381]) ).

tff(f1472,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1471,f380]) ).

tff(f1471,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1470,f379]) ).

tff(f1470,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1469,f393]) ).

tff(f1469,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1468,f391]) ).

tff(f1468,plain,
    ( ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1467,f390]) ).

tff(f1467,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1466,f389]) ).

tff(f1466,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(subsumption_resolution,[],[f1465,f388]) ).

tff(f1465,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v2_orders_2(sK0)
    | spl37_40 ),
    inference(resolution,[],[f1432,f487]) ).

tff(f487,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f277]) ).

tff(f1432,plain,
    ( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | spl37_40 ),
    inference(avatar_component_clause,[],[f1431]) ).

tff(f1442,plain,
    ( ~ spl37_39
    | ~ spl37_40
    | ~ spl37_41
    | ~ spl37_42
    | ~ spl37_43
    | spl37_1 ),
    inference(avatar_split_clause,[],[f1426,f758,f1440,f1437,f1434,f1431,f1428]) ).

tff(f1426,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1425,f387]) ).

tff(f1425,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1424,f386]) ).

tff(f386,plain,
    v2_waybel_8(sK1),
    inference(cnf_transformation,[],[f191]) ).

tff(f1424,plain,
    ( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1423,f385]) ).

tff(f1423,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1422,f384]) ).

tff(f1422,plain,
    ( ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1421,f383]) ).

tff(f1421,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1420,f382]) ).

tff(f1420,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1419,f381]) ).

tff(f1419,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1418,f380]) ).

tff(f1418,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1417,f379]) ).

tff(f1417,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1416,f393]) ).

tff(f1416,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1415,f392]) ).

tff(f1415,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1414,f391]) ).

tff(f1414,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1413,f390]) ).

tff(f1413,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1412,f389]) ).

tff(f1412,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1411,f388]) ).

tff(f1411,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
    | ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v18_waybel_0(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
    | ~ v2_waybel_8(sK1)
    | ~ v3_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(resolution,[],[f1409,f730]) ).

tff(f730,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v1_waybel34(X2,X1,X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v18_waybel_0(X2,X1,X0)
      | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
      | ~ v2_waybel_8(X1)
      | ~ v3_waybel34(X2,X1,X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f362]) ).

tff(f362,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v1_waybel34(X2,X1,X0)
              | ~ v3_waybel34(X2,X1,X0)
              | ~ v2_waybel_8(X1)
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f361]) ).

tff(f361,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v1_waybel34(X2,X1,X0)
              | ~ v3_waybel34(X2,X1,X0)
              | ~ v2_waybel_8(X1)
              | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v18_waybel_0(X2,X1,X0)
              | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f134]) ).

tff(f134,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v18_waybel_0(X2,X1,X0)
                & v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
                & v1_funct_1(X2) )
             => ( ( v3_waybel34(X2,X1,X0)
                  & v2_waybel_8(X1) )
               => v1_waybel34(X2,X1,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_waybel34) ).

tff(f1409,plain,
    ( ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1408,f387]) ).

tff(f1408,plain,
    ( ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1407,f378]) ).

tff(f1407,plain,
    ( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1406,f377]) ).

tff(f1406,plain,
    ( ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1405,f376]) ).

tff(f1405,plain,
    ( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1404,f375]) ).

tff(f1404,plain,
    ( ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1403,f385]) ).

tff(f1403,plain,
    ( ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1402,f1165]) ).

tff(f1165,plain,
    v3_waybel_3(sK1),
    inference(subsumption_resolution,[],[f1164,f385]) ).

tff(f1164,plain,
    ( ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(subsumption_resolution,[],[f1163,f383]) ).

tff(f1163,plain,
    ( ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(subsumption_resolution,[],[f1162,f382]) ).

tff(f1162,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(subsumption_resolution,[],[f1161,f381]) ).

tff(f1161,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(subsumption_resolution,[],[f1160,f380]) ).

tff(f1160,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(subsumption_resolution,[],[f1159,f379]) ).

tff(f1159,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ l1_orders_2(sK1)
    | v3_waybel_3(sK1) ),
    inference(resolution,[],[f433,f386]) ).

tff(f433,plain,
    ! [X0: $i] :
      ( ~ v2_waybel_8(X0)
      | ~ v2_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0)
      | v3_waybel_3(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f225,plain,
    ! [X0] :
      ( ( v3_waybel_3(X0)
        & v2_waybel_3(X0)
        & v24_waybel_0(X0)
        & v2_yellow_0(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0)
        & ~ v3_struct_0(X0) )
      | ~ v2_waybel_8(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f224]) ).

tff(f224,plain,
    ! [X0] :
      ( ( v3_waybel_3(X0)
        & v2_waybel_3(X0)
        & v24_waybel_0(X0)
        & v2_yellow_0(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0)
        & ~ v3_struct_0(X0) )
      | ~ v2_waybel_8(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f29]) ).

tff(f29,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( ( v2_waybel_8(X0)
          & v2_lattice3(X0)
          & v1_lattice3(X0)
          & v4_orders_2(X0)
          & v3_orders_2(X0)
          & v2_orders_2(X0) )
       => ( v3_waybel_3(X0)
          & v2_waybel_3(X0)
          & v24_waybel_0(X0)
          & v2_yellow_0(X0)
          & v2_lattice3(X0)
          & v1_lattice3(X0)
          & v4_orders_2(X0)
          & v3_orders_2(X0)
          & v2_orders_2(X0)
          & ~ v3_struct_0(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_8) ).

tff(f1402,plain,
    ( ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1401,f384]) ).

tff(f1401,plain,
    ( ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1400,f383]) ).

tff(f1400,plain,
    ( ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1399,f382]) ).

tff(f1399,plain,
    ( ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1398,f381]) ).

tff(f1398,plain,
    ( ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1397,f380]) ).

tff(f1397,plain,
    ( ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1396,f379]) ).

tff(f1396,plain,
    ( ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1395,f393]) ).

tff(f1395,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1394,f392]) ).

tff(f1394,plain,
    ( ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1393,f391]) ).

tff(f1393,plain,
    ( ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1392,f390]) ).

tff(f1392,plain,
    ( ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1391,f389]) ).

tff(f1391,plain,
    ( ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(subsumption_resolution,[],[f1390,f388]) ).

tff(f1390,plain,
    ( ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v2_orders_2(sK1)
    | ~ v3_orders_2(sK1)
    | ~ v4_orders_2(sK1)
    | ~ v1_lattice3(sK1)
    | ~ v2_lattice3(sK1)
    | ~ v3_lattice3(sK1)
    | ~ v3_waybel_3(sK1)
    | ~ l1_orders_2(sK1)
    | ~ v1_funct_1(sK2)
    | ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v17_waybel_0(sK2,sK0,sK1)
    | ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
    | ~ v1_waybel34(k1_waybel34(sK0,sK1,sK2),sK1,sK0)
    | ~ v2_orders_2(sK0)
    | spl37_1 ),
    inference(resolution,[],[f724,f776]) ).

tff(f776,plain,
    ( ~ v22_waybel_0(sK2,sK0,sK1)
    | spl37_1 ),
    inference(avatar_component_clause,[],[f758]) ).

tff(f724,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( v22_waybel_0(X2,X0,X1)
      | ~ v3_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v1_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X1)
      | ~ v3_orders_2(X1)
      | ~ v4_orders_2(X1)
      | ~ v1_lattice3(X1)
      | ~ v2_lattice3(X1)
      | ~ v3_lattice3(X1)
      | ~ v3_waybel_3(X1)
      | ~ l1_orders_2(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v17_waybel_0(X2,X0,X1)
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f352]) ).

tff(f352,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v22_waybel_0(X2,X0,X1)
              | ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_waybel_3(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f351]) ).

tff(f351,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( v22_waybel_0(X2,X0,X1)
              | ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
              | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v17_waybel_0(X2,X0,X1)
              | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              | ~ v1_funct_1(X2) )
          | ~ l1_orders_2(X1)
          | ~ v3_waybel_3(X1)
          | ~ v3_lattice3(X1)
          | ~ v2_lattice3(X1)
          | ~ v1_lattice3(X1)
          | ~ v4_orders_2(X1)
          | ~ v3_orders_2(X1)
          | ~ v2_orders_2(X1) )
      | ~ l1_orders_2(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f128]) ).

tff(f128,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_lattice3(X0)
        & v2_lattice3(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( l1_orders_2(X1)
            & v3_waybel_3(X1)
            & v3_lattice3(X1)
            & v2_lattice3(X1)
            & v1_lattice3(X1)
            & v4_orders_2(X1)
            & v3_orders_2(X1)
            & v2_orders_2(X1) )
         => ! [X2] :
              ( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v17_waybel_0(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) )
             => ( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
               => v22_waybel_0(X2,X0,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_waybel34) ).

tff(f781,plain,
    ( ~ spl37_1
    | ~ spl37_2
    | ~ spl37_3
    | ~ spl37_4
    | ~ spl37_5 ),
    inference(avatar_split_clause,[],[f370,f773,f769,f765,f761,f758]) ).

tff(f370,plain,
    ( ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | ~ v22_waybel_0(sK2,sK0,sK1) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f775,plain,
    ( spl37_1
    | spl37_5 ),
    inference(avatar_split_clause,[],[f371,f773,f758]) ).

tff(f371,plain,
    ( v1_funct_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))))
    | v22_waybel_0(sK2,sK0,sK1) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f771,plain,
    ( spl37_1
    | spl37_4 ),
    inference(avatar_split_clause,[],[f372,f769,f758]) ).

tff(f372,plain,
    ( v1_funct_2(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | v22_waybel_0(sK2,sK0,sK1) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f767,plain,
    ( spl37_1
    | spl37_3 ),
    inference(avatar_split_clause,[],[f373,f765,f758]) ).

tff(f373,plain,
    ( v4_waybel34(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),k1_waybel_8(sK1),k1_waybel_8(sK0))
    | v22_waybel_0(sK2,sK0,sK1) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f763,plain,
    ( spl37_1
    | spl37_2 ),
    inference(avatar_split_clause,[],[f374,f761,f758]) ).

tff(f374,plain,
    ( m2_relset_1(k8_relset_1(u1_struct_0(sK1),u1_struct_0(sK0),k1_waybel34(sK0,sK1,sK2),u1_struct_0(k1_waybel_8(sK1))),u1_struct_0(k1_waybel_8(sK1)),u1_struct_0(k1_waybel_8(sK0)))
    | v22_waybel_0(sK2,sK0,sK1) ),
    inference(cnf_transformation,[],[f191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT380+1 : TPTP v8.2.0. Released v3.4.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 20:56:22 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73  % (4059)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (4060)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73  % (4062)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73  % (4061)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (4063)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.73  % (4064)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (4058)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.73  % (4062)Refutation not found, incomplete strategy% (4062)------------------------------
% 0.55/0.73  % (4062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (4062)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (4062)Memory used [KB]: 1203
% 0.55/0.73  % (4062)Time elapsed: 0.004 s
% 0.55/0.73  % (4062)Instructions burned: 5 (million)
% 0.55/0.73  % (4064)Refutation not found, incomplete strategy% (4064)------------------------------
% 0.55/0.73  % (4064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (4064)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (4064)Memory used [KB]: 1206
% 0.55/0.73  % (4064)Time elapsed: 0.004 s
% 0.55/0.73  % (4064)Instructions burned: 5 (million)
% 0.55/0.73  % (4062)------------------------------
% 0.55/0.73  % (4062)------------------------------
% 0.55/0.73  % (4064)------------------------------
% 0.55/0.73  % (4064)------------------------------
% 0.55/0.73  % (4057)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (4065)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.73  % (4066)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.74  % (4060)Instruction limit reached!
% 0.55/0.74  % (4060)------------------------------
% 0.55/0.74  % (4060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (4061)Instruction limit reached!
% 0.55/0.74  % (4061)------------------------------
% 0.55/0.74  % (4061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (4060)Termination reason: Unknown
% 0.55/0.74  % (4060)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (4060)Memory used [KB]: 1661
% 0.55/0.74  % (4060)Time elapsed: 0.018 s
% 0.55/0.74  % (4060)Instructions burned: 33 (million)
% 0.55/0.74  % (4060)------------------------------
% 0.55/0.74  % (4060)------------------------------
% 0.55/0.74  % (4061)Termination reason: Unknown
% 0.55/0.74  % (4061)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (4061)Memory used [KB]: 1991
% 0.55/0.74  % (4061)Time elapsed: 0.018 s
% 0.55/0.74  % (4061)Instructions burned: 36 (million)
% 0.55/0.74  % (4061)------------------------------
% 0.55/0.74  % (4061)------------------------------
% 0.55/0.75  % (4068)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.75  % (4057)Instruction limit reached!
% 0.55/0.75  % (4057)------------------------------
% 0.55/0.75  % (4057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (4057)Termination reason: Unknown
% 0.55/0.75  % (4057)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (4057)Memory used [KB]: 1554
% 0.55/0.75  % (4057)Time elapsed: 0.017 s
% 0.55/0.75  % (4057)Instructions burned: 35 (million)
% 0.55/0.75  % (4057)------------------------------
% 0.55/0.75  % (4057)------------------------------
% 0.55/0.75  % (4067)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75  % (4059)Instruction limit reached!
% 0.55/0.75  % (4059)------------------------------
% 0.55/0.75  % (4059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (4059)Termination reason: Unknown
% 0.55/0.75  % (4059)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (4059)Memory used [KB]: 2216
% 0.55/0.75  % (4059)Time elapsed: 0.028 s
% 0.55/0.75  % (4059)Instructions burned: 80 (million)
% 0.55/0.75  % (4059)------------------------------
% 0.55/0.75  % (4059)------------------------------
% 0.55/0.76  % (4069)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.76  % (4066)Instruction limit reached!
% 0.55/0.76  % (4066)------------------------------
% 0.55/0.76  % (4066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (4066)Termination reason: Unknown
% 0.55/0.76  % (4066)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (4066)Memory used [KB]: 2028
% 0.55/0.76  % (4066)Time elapsed: 0.024 s
% 0.55/0.76  % (4066)Instructions burned: 52 (million)
% 0.55/0.76  % (4066)------------------------------
% 0.55/0.76  % (4066)------------------------------
% 0.55/0.76  % (4058)Instruction limit reached!
% 0.55/0.76  % (4058)------------------------------
% 0.55/0.76  % (4058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (4058)Termination reason: Unknown
% 0.55/0.76  % (4058)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (4058)Memory used [KB]: 1970
% 0.55/0.76  % (4058)Time elapsed: 0.030 s
% 0.55/0.76  % (4058)Instructions burned: 52 (million)
% 0.55/0.76  % (4058)------------------------------
% 0.55/0.76  % (4058)------------------------------
% 0.55/0.76  % (4070)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 theBenchmark for (2996ds/42Mi)
% 0.55/0.76  % (4065)Instruction limit reached!
% 0.55/0.76  % (4065)------------------------------
% 0.55/0.76  % (4065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (4065)Termination reason: Unknown
% 0.55/0.76  % (4065)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (4065)Memory used [KB]: 2197
% 0.55/0.76  % (4065)Time elapsed: 0.028 s
% 0.55/0.76  % (4065)Instructions burned: 56 (million)
% 0.55/0.76  % (4065)------------------------------
% 0.55/0.76  % (4065)------------------------------
% 0.55/0.76  % (4072)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.76  % (4063)Instruction limit reached!
% 0.55/0.76  % (4063)------------------------------
% 0.55/0.76  % (4063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (4063)Termination reason: Unknown
% 0.55/0.76  % (4063)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (4063)Memory used [KB]: 2181
% 0.55/0.76  % (4063)Time elapsed: 0.037 s
% 0.55/0.76  % (4063)Instructions burned: 83 (million)
% 0.55/0.76  % (4063)------------------------------
% 0.55/0.76  % (4063)------------------------------
% 0.55/0.76  % (4073)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 theBenchmark for (2996ds/143Mi)
% 0.78/0.77  % (4071)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 theBenchmark for (2996ds/243Mi)
% 0.78/0.77  % (4074)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 theBenchmark for (2996ds/93Mi)
% 0.78/0.77  % (4069)Refutation not found, incomplete strategy% (4069)------------------------------
% 0.78/0.77  % (4069)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.77  % (4069)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.77  
% 0.78/0.77  % (4069)Memory used [KB]: 1827
% 0.78/0.77  % (4069)Time elapsed: 0.017 s
% 0.78/0.77  % (4069)Instructions burned: 60 (million)
% 0.78/0.77  % (4069)------------------------------
% 0.78/0.77  % (4069)------------------------------
% 0.78/0.77  % (4068)Instruction limit reached!
% 0.78/0.77  % (4068)------------------------------
% 0.78/0.77  % (4068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.77  % (4068)Termination reason: Unknown
% 0.78/0.77  % (4068)Termination phase: Saturation
% 0.78/0.77  
% 0.78/0.77  % (4068)Memory used [KB]: 1915
% 0.78/0.77  % (4068)Time elapsed: 0.028 s
% 0.78/0.77  % (4068)Instructions burned: 52 (million)
% 0.78/0.77  % (4068)------------------------------
% 0.78/0.77  % (4068)------------------------------
% 0.78/0.78  % (4075)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 theBenchmark for (2995ds/62Mi)
% 0.78/0.78  % (4070)Instruction limit reached!
% 0.78/0.78  % (4070)------------------------------
% 0.78/0.78  % (4070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.78  % (4070)Termination reason: Unknown
% 0.78/0.78  % (4070)Termination phase: Saturation
% 0.78/0.78  
% 0.78/0.78  % (4070)Memory used [KB]: 1879
% 0.78/0.78  % (4070)Time elapsed: 0.020 s
% 0.78/0.78  % (4070)Instructions burned: 42 (million)
% 0.78/0.78  % (4070)------------------------------
% 0.78/0.78  % (4070)------------------------------
% 0.78/0.78  % (4076)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 theBenchmark for (2995ds/32Mi)
% 0.78/0.78  % (4077)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 theBenchmark for (2995ds/1919Mi)
% 0.78/0.79  % (4076)Instruction limit reached!
% 0.78/0.79  % (4076)------------------------------
% 0.78/0.79  % (4076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.79  % (4076)Termination reason: Unknown
% 0.78/0.79  % (4076)Termination phase: Saturation
% 0.78/0.79  
% 0.78/0.79  % (4076)Memory used [KB]: 1609
% 0.78/0.79  % (4076)Time elapsed: 0.016 s
% 0.78/0.79  % (4076)Instructions burned: 33 (million)
% 0.78/0.79  % (4076)------------------------------
% 0.78/0.79  % (4076)------------------------------
% 0.78/0.79  % (4075)Instruction limit reached!
% 0.78/0.79  % (4075)------------------------------
% 0.78/0.79  % (4075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.79  % (4075)Termination reason: Unknown
% 0.78/0.79  % (4075)Termination phase: Saturation
% 0.78/0.79  
% 0.78/0.79  % (4075)Memory used [KB]: 2365
% 0.78/0.79  % (4075)Time elapsed: 0.018 s
% 0.78/0.79  % (4075)Instructions burned: 64 (million)
% 0.78/0.79  % (4075)------------------------------
% 0.78/0.79  % (4075)------------------------------
% 0.78/0.79  % (4078)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 theBenchmark for (2995ds/55Mi)
% 0.78/0.80  % (4079)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.78/0.80  % (4073)First to succeed.
% 0.78/0.81  % (4073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4056"
% 0.78/0.81  % (4073)Refutation found. Thanks to Tanya!
% 0.78/0.81  % SZS status Theorem for theBenchmark
% 0.78/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.81  % (4073)------------------------------
% 0.78/0.81  % (4073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.81  % (4073)Termination reason: Refutation
% 0.78/0.81  
% 0.78/0.81  % (4073)Memory used [KB]: 1875
% 0.78/0.81  % (4073)Time elapsed: 0.045 s
% 0.78/0.81  % (4073)Instructions burned: 96 (million)
% 0.78/0.81  % (4056)Success in time 0.444 s
% 0.78/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------