TSTP Solution File: LAT351+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:09:17 EDT 2024

% Result   : Theorem 0.62s 0.86s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  173 (  35 unt;   0 def)
%            Number of atoms       :  949 (  34 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives : 1235 ( 459   ~; 468   |; 285   &)
%                                         (   9 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   36 (  34 usr;  10 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-1 aty)
%            Number of variables   :  105 (  94   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1947,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1751,f1771,f1804,f1818,f1855,f1864,f1872,f1883,f1916,f1946]) ).

fof(f1946,plain,
    ~ spl39_52,
    inference(avatar_contradiction_clause,[],[f1945]) ).

fof(f1945,plain,
    ( $false
    | ~ spl39_52 ),
    inference(subsumption_resolution,[],[f1944,f753]) ).

fof(f753,plain,
    ! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
    inference(definition_unfolding,[],[f383,f464]) ).

fof(f464,plain,
    ! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',d2_waybel22) ).

fof(f383,plain,
    ! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,axiom,
    ! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',t10_waybel22) ).

fof(f1944,plain,
    ( k1_card_1(sK8) != k1_card_1(a_1_0_waybel22(sK8))
    | ~ spl39_52 ),
    inference(resolution,[],[f1885,f754]) ).

fof(f754,plain,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
    inference(definition_unfolding,[],[f384,f464]) ).

fof(f384,plain,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,axiom,
    ! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',t16_waybel22) ).

fof(f1885,plain,
    ( ! [X0] :
        ( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
        | k1_card_1(X0) != k1_card_1(sK8) )
    | ~ spl39_52 ),
    inference(forward_demodulation,[],[f1884,f379]) ).

fof(f379,plain,
    k1_card_1(sK8) = k1_card_1(sK10),
    inference(cnf_transformation,[],[f300]) ).

fof(f300,plain,
    ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    & k1_card_1(sK8) = k1_card_1(sK10)
    & r1_waybel22(sK9,sK10)
    & l1_orders_2(sK9)
    & v3_waybel_3(sK9)
    & v3_lattice3(sK9)
    & v2_lattice3(sK9)
    & v1_lattice3(sK9)
    & v4_orders_2(sK9)
    & v3_orders_2(sK9)
    & v2_orders_2(sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f149,f299,f298]) ).

fof(f298,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
            & k1_card_1(X2) = k1_card_1(X0)
            & r1_waybel22(X1,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) )
   => ( ? [X2] :
          ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
          & k1_card_1(X2) = k1_card_1(sK8)
          & r1_waybel22(sK9,X2) )
      & l1_orders_2(sK9)
      & v3_waybel_3(sK9)
      & v3_lattice3(sK9)
      & v2_lattice3(sK9)
      & v1_lattice3(sK9)
      & v4_orders_2(sK9)
      & v3_orders_2(sK9)
      & v2_orders_2(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f299,plain,
    ( ? [X2] :
        ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
        & k1_card_1(X2) = k1_card_1(sK8)
        & r1_waybel22(sK9,X2) )
   => ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      & k1_card_1(sK8) = k1_card_1(sK10)
      & r1_waybel22(sK9,sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
          & k1_card_1(X2) = k1_card_1(X0)
          & r1_waybel22(X1,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) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
          & k1_card_1(X2) = k1_card_1(X0)
          & r1_waybel22(X1,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) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [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] :
            ( ( k1_card_1(X2) = k1_card_1(X0)
              & r1_waybel22(X1,X2) )
           => r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [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] :
          ( ( k1_card_1(X2) = k1_card_1(X0)
            & r1_waybel22(X1,X2) )
         => r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',t18_waybel22) ).

fof(f1884,plain,
    ( ! [X0] :
        ( k1_card_1(X0) != k1_card_1(sK10)
        | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0) )
    | ~ spl39_52 ),
    inference(resolution,[],[f1750,f378]) ).

fof(f378,plain,
    r1_waybel22(sK9,sK10),
    inference(cnf_transformation,[],[f300]) ).

fof(f1750,plain,
    ( ! [X0,X1] :
        ( ~ r1_waybel22(sK9,X0)
        | k1_card_1(X0) != k1_card_1(X1)
        | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1) )
    | ~ spl39_52 ),
    inference(avatar_component_clause,[],[f1749]) ).

fof(f1749,plain,
    ( spl39_52
  <=> ! [X0,X1] :
        ( k1_card_1(X0) != k1_card_1(X1)
        | ~ r1_waybel22(sK9,X0)
        | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_52])]) ).

fof(f1916,plain,
    ( ~ spl39_48
    | ~ spl39_53 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl39_48
    | ~ spl39_53 ),
    inference(subsumption_resolution,[],[f1914,f438]) ).

fof(f438,plain,
    ! [X0] : l1_orders_2(k2_yellow_1(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( l1_orders_2(k2_yellow_1(X0))
      & v1_orders_2(k2_yellow_1(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',dt_k2_yellow_1) ).

fof(f1914,plain,
    ( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ spl39_48
    | ~ spl39_53 ),
    inference(subsumption_resolution,[],[f1910,f1734]) ).

fof(f1734,plain,
    ( v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ spl39_48 ),
    inference(avatar_component_clause,[],[f1733]) ).

fof(f1733,plain,
    ( spl39_48
  <=> v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_48])]) ).

fof(f1910,plain,
    ( ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ spl39_53 ),
    inference(resolution,[],[f1780,f439]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v1_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v1_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v1_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v1_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',cc1_lattice3) ).

fof(f1780,plain,
    ( v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ spl39_53 ),
    inference(avatar_component_clause,[],[f1778]) ).

fof(f1778,plain,
    ( spl39_53
  <=> v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_53])]) ).

fof(f1883,plain,
    spl39_51,
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1881,f390]) ).

fof(f390,plain,
    ! [X0] : ~ v3_struct_0(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v10_waybel_1(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    inference(pure_predicate_removal,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( v2_waybel_8(k3_yellow_1(X0))
      & v1_waybel_8(k3_yellow_1(X0))
      & v3_waybel_3(k3_yellow_1(X0))
      & v2_waybel_3(k3_yellow_1(X0))
      & v11_waybel_1(k3_yellow_1(X0))
      & v10_waybel_1(k3_yellow_1(X0))
      & v9_waybel_1(k3_yellow_1(X0))
      & v2_waybel_1(k3_yellow_1(X0))
      & v25_waybel_0(k3_yellow_1(X0))
      & v24_waybel_0(k3_yellow_1(X0))
      & v3_yellow_0(k3_yellow_1(X0))
      & v2_yellow_0(k3_yellow_1(X0))
      & v1_yellow_0(k3_yellow_1(X0))
      & v3_lattice3(k3_yellow_1(X0))
      & v2_lattice3(k3_yellow_1(X0))
      & v1_lattice3(k3_yellow_1(X0))
      & v4_orders_2(k3_yellow_1(X0))
      & v3_orders_2(k3_yellow_1(X0))
      & v2_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0))
      & ~ v3_struct_0(k3_yellow_1(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',fc14_waybel_8) ).

fof(f1881,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1880,f392]) ).

fof(f392,plain,
    ! [X0] : v2_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f1880,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1879,f393]) ).

fof(f393,plain,
    ! [X0] : v3_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f1879,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1878,f394]) ).

fof(f394,plain,
    ! [X0] : v4_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f1878,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1877,f399]) ).

fof(f399,plain,
    ! [X0] : v2_yellow_0(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f1877,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1876,f396]) ).

fof(f396,plain,
    ! [X0] : v2_lattice3(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f142]) ).

fof(f1876,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(subsumption_resolution,[],[f1875,f406]) ).

fof(f406,plain,
    ! [X0] : l1_orders_2(k3_yellow_1(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( l1_orders_2(k3_yellow_1(X0))
      & v1_orders_2(k3_yellow_1(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',dt_k3_yellow_1) ).

fof(f1875,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(resolution,[],[f1873,f433]) ).

fof(f433,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f285,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f156,f284]) ).

fof(f284,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f156,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0)
      | ~ v2_yellow_0(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0)
        & v2_yellow_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',fc1_waybel22) ).

fof(f1873,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_51 ),
    inference(resolution,[],[f1747,f432]) ).

fof(f432,plain,
    ! [X0] :
      ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f307,plain,
    ! [X0] :
      ( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
        & ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f1747,plain,
    ( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_51 ),
    inference(avatar_component_clause,[],[f1745]) ).

fof(f1745,plain,
    ( spl39_51
  <=> v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_51])]) ).

fof(f1872,plain,
    ( spl39_53
    | spl39_49
    | ~ spl39_50 ),
    inference(avatar_split_clause,[],[f1871,f1741,f1737,f1778]) ).

fof(f1737,plain,
    ( spl39_49
  <=> v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_49])]) ).

fof(f1741,plain,
    ( spl39_50
  <=> v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_50])]) ).

fof(f1871,plain,
    ( v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_49
    | ~ spl39_50 ),
    inference(subsumption_resolution,[],[f1870,f438]) ).

fof(f1870,plain,
    ( v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_49
    | ~ spl39_50 ),
    inference(subsumption_resolution,[],[f1869,f1742]) ).

fof(f1742,plain,
    ( v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ spl39_50 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1869,plain,
    ( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_49 ),
    inference(resolution,[],[f1739,f459]) ).

fof(f459,plain,
    ! [X0] :
      ( v2_lattice3(X0)
      | ~ v3_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ( v2_lattice3(X0)
        & v1_lattice3(X0)
        & ~ v3_struct_0(X0) )
      | ~ v3_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ( v2_lattice3(X0)
        & v1_lattice3(X0)
        & ~ v3_struct_0(X0) )
      | ~ v3_lattice3(X0)
      | v3_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( ( v3_lattice3(X0)
          & ~ v3_struct_0(X0) )
       => ( v2_lattice3(X0)
          & v1_lattice3(X0)
          & ~ v3_struct_0(X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',cc1_yellow_0) ).

fof(f1739,plain,
    ( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_49 ),
    inference(avatar_component_clause,[],[f1737]) ).

fof(f1864,plain,
    spl39_50,
    inference(avatar_contradiction_clause,[],[f1863]) ).

fof(f1863,plain,
    ( $false
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1862,f390]) ).

fof(f1862,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1861,f392]) ).

fof(f1861,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1860,f393]) ).

fof(f1860,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1859,f394]) ).

fof(f1859,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1858,f399]) ).

fof(f1858,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1857,f396]) ).

fof(f1857,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(subsumption_resolution,[],[f1856,f406]) ).

fof(f1856,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(resolution,[],[f1843,f433]) ).

fof(f1843,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_50 ),
    inference(resolution,[],[f1743,f431]) ).

fof(f431,plain,
    ! [X0] :
      ( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1743,plain,
    ( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_50 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1855,plain,
    spl39_48,
    inference(avatar_contradiction_clause,[],[f1854]) ).

fof(f1854,plain,
    ( $false
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1853,f390]) ).

fof(f1853,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1852,f392]) ).

fof(f1852,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1851,f393]) ).

fof(f1851,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1850,f394]) ).

fof(f1850,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1849,f399]) ).

fof(f1849,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1848,f396]) ).

fof(f1848,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(subsumption_resolution,[],[f1847,f406]) ).

fof(f1847,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(resolution,[],[f1819,f433]) ).

fof(f1819,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_48 ),
    inference(resolution,[],[f1735,f429]) ).

fof(f429,plain,
    ! [X0] :
      ( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1735,plain,
    ( ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_48 ),
    inference(avatar_component_clause,[],[f1733]) ).

fof(f1818,plain,
    spl39_47,
    inference(avatar_contradiction_clause,[],[f1817]) ).

fof(f1817,plain,
    ( $false
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1816,f390]) ).

fof(f1816,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1815,f392]) ).

fof(f1815,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1814,f393]) ).

fof(f1814,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1813,f394]) ).

fof(f1813,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1812,f399]) ).

fof(f1812,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1811,f396]) ).

fof(f1811,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(subsumption_resolution,[],[f1810,f406]) ).

fof(f1810,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(resolution,[],[f1805,f433]) ).

fof(f1805,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_47 ),
    inference(resolution,[],[f1731,f423]) ).

fof(f423,plain,
    ! [X0] :
      ( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1731,plain,
    ( ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_47 ),
    inference(avatar_component_clause,[],[f1729]) ).

fof(f1729,plain,
    ( spl39_47
  <=> v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_47])]) ).

fof(f1804,plain,
    spl39_46,
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1803,plain,
    ( $false
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1802,f390]) ).

fof(f1802,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1801,f392]) ).

fof(f1801,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1800,f393]) ).

fof(f1800,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1799,f394]) ).

fof(f1799,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1798,f399]) ).

fof(f1798,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1797,f396]) ).

fof(f1797,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(subsumption_resolution,[],[f1796,f406]) ).

fof(f1796,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(resolution,[],[f1772,f433]) ).

fof(f1772,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_46 ),
    inference(resolution,[],[f1727,f422]) ).

fof(f422,plain,
    ! [X0] :
      ( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1727,plain,
    ( ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_46 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f1725,plain,
    ( spl39_46
  <=> v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_46])]) ).

fof(f1771,plain,
    spl39_45,
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1769,f390]) ).

fof(f1769,plain,
    ( v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1768,f392]) ).

fof(f1768,plain,
    ( ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1767,f393]) ).

fof(f1767,plain,
    ( ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1766,f394]) ).

fof(f1766,plain,
    ( ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1765,f399]) ).

fof(f1765,plain,
    ( ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1764,f396]) ).

fof(f1764,plain,
    ( ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(subsumption_resolution,[],[f1763,f406]) ).

fof(f1763,plain,
    ( ~ l1_orders_2(k3_yellow_1(sK8))
    | ~ v2_lattice3(k3_yellow_1(sK8))
    | ~ v2_yellow_0(k3_yellow_1(sK8))
    | ~ v4_orders_2(k3_yellow_1(sK8))
    | ~ v3_orders_2(k3_yellow_1(sK8))
    | ~ v2_orders_2(k3_yellow_1(sK8))
    | v3_struct_0(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(resolution,[],[f1752,f433]) ).

fof(f1752,plain,
    ( ~ sP1(k3_yellow_1(sK8))
    | spl39_45 ),
    inference(resolution,[],[f1723,f421]) ).

fof(f421,plain,
    ! [X0] :
      ( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1723,plain,
    ( ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
    | spl39_45 ),
    inference(avatar_component_clause,[],[f1721]) ).

fof(f1721,plain,
    ( spl39_45
  <=> v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_45])]) ).

fof(f1751,plain,
    ( ~ spl39_45
    | ~ spl39_46
    | ~ spl39_47
    | ~ spl39_48
    | ~ spl39_49
    | ~ spl39_50
    | ~ spl39_51
    | spl39_52 ),
    inference(avatar_split_clause,[],[f1719,f1749,f1745,f1741,f1737,f1733,f1729,f1725,f1721]) ).

fof(f1719,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
    inference(subsumption_resolution,[],[f1718,f370]) ).

fof(f370,plain,
    v2_orders_2(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1717,f371]) ).

fof(f371,plain,
    v3_orders_2(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1716,f372]) ).

fof(f372,plain,
    v4_orders_2(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1715,f373]) ).

fof(f373,plain,
    v1_lattice3(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1715,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1714,f374]) ).

fof(f374,plain,
    v2_lattice3(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1714,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(sK9)
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1713,f375]) ).

fof(f375,plain,
    v3_lattice3(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1713,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(sK9)
      | ~ v2_lattice3(sK9)
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1712,f376]) ).

fof(f376,plain,
    v3_waybel_3(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1712,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_waybel_3(sK9)
      | ~ v3_lattice3(sK9)
      | ~ v2_lattice3(sK9)
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1711,f377]) ).

fof(f377,plain,
    l1_orders_2(sK9),
    inference(cnf_transformation,[],[f300]) ).

fof(f1711,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ l1_orders_2(sK9)
      | ~ v3_waybel_3(sK9)
      | ~ v3_lattice3(sK9)
      | ~ v2_lattice3(sK9)
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(subsumption_resolution,[],[f1710,f438]) ).

fof(f1710,plain,
    ! [X0,X1] :
      ( k1_card_1(X0) != k1_card_1(X1)
      | ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
      | ~ r1_waybel22(sK9,X0)
      | ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
      | ~ l1_orders_2(sK9)
      | ~ v3_waybel_3(sK9)
      | ~ v3_lattice3(sK9)
      | ~ v2_lattice3(sK9)
      | ~ v1_lattice3(sK9)
      | ~ v4_orders_2(sK9)
      | ~ v3_orders_2(sK9)
      | ~ v2_orders_2(sK9) ),
    inference(resolution,[],[f382,f380]) ).

fof(f380,plain,
    ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
    inference(cnf_transformation,[],[f300]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1] :
      ( r5_waybel_1(X0,X1)
      | k1_card_1(X2) != k1_card_1(X3)
      | ~ r1_waybel22(X1,X3)
      | ~ r1_waybel22(X0,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_waybel_3(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r5_waybel_1(X0,X1)
              | k1_card_1(X2) != k1_card_1(X3)
              | ~ r1_waybel22(X1,X3)
              | ~ r1_waybel22(X0,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_waybel_3(X0)
      | ~ v3_lattice3(X0)
      | ~ v2_lattice3(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r5_waybel_1(X0,X1)
              | k1_card_1(X2) != k1_card_1(X3)
              | ~ r1_waybel22(X1,X3)
              | ~ r1_waybel22(X0,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_waybel_3(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,[],[f113]) ).

fof(f113,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_waybel_3(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,X3] :
              ( ( k1_card_1(X2) = k1_card_1(X3)
                & r1_waybel22(X1,X3)
                & r1_waybel22(X0,X2) )
             => r5_waybel_1(X0,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623',t17_waybel22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:22:41 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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/tmp/tmp.lwd9GNW4yA/Vampire---4.8_12623
% 0.62/0.82  % (13029)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.82  % (13023)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.82  % (13025)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82  % (13026)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.82  % (13027)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.82  % (13028)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.82  % (13024)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.83  % (13026)Refutation not found, incomplete strategy% (13026)------------------------------
% 0.62/0.83  % (13026)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (13026)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (13026)Memory used [KB]: 1203
% 0.62/0.83  % (13026)Time elapsed: 0.006 s
% 0.62/0.83  % (13026)Instructions burned: 8 (million)
% 0.62/0.83  % (13026)------------------------------
% 0.62/0.83  % (13026)------------------------------
% 0.62/0.83  % (13028)Refutation not found, incomplete strategy% (13028)------------------------------
% 0.62/0.83  % (13028)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (13028)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (13028)Memory used [KB]: 1274
% 0.62/0.83  % (13028)Time elapsed: 0.008 s
% 0.62/0.83  % (13028)Instructions burned: 12 (million)
% 0.62/0.83  % (13028)------------------------------
% 0.62/0.83  % (13028)------------------------------
% 0.62/0.83  % (13023)Refutation not found, incomplete strategy% (13023)------------------------------
% 0.62/0.83  % (13023)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (13023)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (13023)Memory used [KB]: 1267
% 0.62/0.83  % (13023)Time elapsed: 0.010 s
% 0.62/0.83  % (13023)Instructions burned: 15 (million)
% 0.62/0.83  % (13023)------------------------------
% 0.62/0.83  % (13023)------------------------------
% 0.62/0.83  % (13030)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.83  % (13031)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.83  % (13032)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.83  % (13030)Refutation not found, incomplete strategy% (13030)------------------------------
% 0.62/0.83  % (13030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (13030)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (13030)Memory used [KB]: 1165
% 0.62/0.83  % (13030)Time elapsed: 0.005 s
% 0.62/0.83  % (13030)Instructions burned: 6 (million)
% 0.62/0.83  % (13030)------------------------------
% 0.62/0.83  % (13030)------------------------------
% 0.62/0.84  % (13034)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.84  % (13027)Instruction limit reached!
% 0.62/0.84  % (13027)------------------------------
% 0.62/0.84  % (13027)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (13027)Termination reason: Unknown
% 0.62/0.84  % (13027)Termination phase: Saturation
% 0.62/0.84  
% 0.62/0.84  % (13027)Memory used [KB]: 1848
% 0.62/0.84  % (13027)Time elapsed: 0.021 s
% 0.62/0.84  % (13027)Instructions burned: 35 (million)
% 0.62/0.84  % (13027)------------------------------
% 0.62/0.84  % (13027)------------------------------
% 0.62/0.84  % (13029)Instruction limit reached!
% 0.62/0.84  % (13029)------------------------------
% 0.62/0.84  % (13029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (13029)Termination reason: Unknown
% 0.62/0.84  % (13029)Termination phase: Saturation
% 0.62/0.84  
% 0.62/0.84  % (13029)Memory used [KB]: 2069
% 0.62/0.84  % (13029)Time elapsed: 0.025 s
% 0.62/0.84  % (13029)Instructions burned: 85 (million)
% 0.62/0.84  % (13029)------------------------------
% 0.62/0.84  % (13029)------------------------------
% 0.62/0.85  % (13035)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.85  % (13033)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.85  % (13024)Instruction limit reached!
% 0.62/0.85  % (13024)------------------------------
% 0.62/0.85  % (13024)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85  % (13024)Termination reason: Unknown
% 0.62/0.85  % (13024)Termination phase: Saturation
% 0.62/0.85  
% 0.62/0.85  % (13024)Memory used [KB]: 1784
% 0.62/0.85  % (13024)Time elapsed: 0.030 s
% 0.62/0.85  % (13024)Instructions burned: 51 (million)
% 0.62/0.85  % (13024)------------------------------
% 0.62/0.85  % (13024)------------------------------
% 0.62/0.85  % (13036)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.85  % (13037)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.86  % (13032)Instruction limit reached!
% 0.62/0.86  % (13032)------------------------------
% 0.62/0.86  % (13032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (13032)Termination reason: Unknown
% 0.62/0.86  % (13032)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (13032)Memory used [KB]: 1791
% 0.62/0.86  % (13032)Time elapsed: 0.025 s
% 0.62/0.86  % (13032)Instructions burned: 52 (million)
% 0.62/0.86  % (13032)------------------------------
% 0.62/0.86  % (13032)------------------------------
% 0.62/0.86  % (13034)Instruction limit reached!
% 0.62/0.86  % (13034)------------------------------
% 0.62/0.86  % (13034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (13034)Termination reason: Unknown
% 0.62/0.86  % (13034)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (13034)Memory used [KB]: 1806
% 0.62/0.86  % (13034)Time elapsed: 0.042 s
% 0.62/0.86  % (13034)Instructions burned: 52 (million)
% 0.62/0.86  % (13034)------------------------------
% 0.62/0.86  % (13034)------------------------------
% 0.62/0.86  % (13025)First to succeed.
% 0.62/0.86  % (13031)Instruction limit reached!
% 0.62/0.86  % (13031)------------------------------
% 0.62/0.86  % (13031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (13031)Termination reason: Unknown
% 0.62/0.86  % (13038)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.86  % (13031)Termination phase: Saturation
% 0.62/0.86  
% 0.62/0.86  % (13031)Memory used [KB]: 2114
% 0.62/0.86  % (13031)Time elapsed: 0.031 s
% 0.62/0.86  % (13031)Instructions burned: 56 (million)
% 0.62/0.86  % (13031)------------------------------
% 0.62/0.86  % (13031)------------------------------
% 0.62/0.86  % (13039)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.62/0.86  % (13025)Refutation found. Thanks to Tanya!
% 0.62/0.86  % SZS status Theorem for Vampire---4
% 0.62/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.86  % (13025)------------------------------
% 0.62/0.86  % (13025)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.86  % (13025)Termination reason: Refutation
% 0.62/0.86  
% 0.62/0.86  % (13025)Memory used [KB]: 1709
% 0.62/0.86  % (13025)Time elapsed: 0.040 s
% 0.62/0.86  % (13025)Instructions burned: 64 (million)
% 0.62/0.86  % (13025)------------------------------
% 0.62/0.86  % (13025)------------------------------
% 0.62/0.86  % (12876)Success in time 0.504 s
% 0.62/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------