TSTP Solution File: LAT347+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT347+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 : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:24:21 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   92 (  15 unt;   0 def)
%            Number of atoms       :  426 (  24 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  562 ( 228   ~; 205   |; 108   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   19 (  17 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   57 (  49   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f486,plain,
    $false,
    inference(avatar_sat_refutation,[],[f413,f423,f430,f481,f485]) ).

fof(f485,plain,
    ~ spl14_1,
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f484,plain,
    ( $false
    | ~ spl14_1 ),
    inference(subsumption_resolution,[],[f483,f217]) ).

fof(f217,plain,
    l1_orders_2(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
    & v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
    & ~ v1_xboole_0(sK3)
    & l1_orders_2(sK2)
    & v2_lattice3(sK2)
    & v2_yellow_0(sK2)
    & v4_orders_2(sK2)
    & v3_orders_2(sK2)
    & v2_orders_2(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f110,f188,f187]) ).

fof(f187,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
            & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
            & ~ v1_xboole_0(X1) )
        & l1_orders_2(X0)
        & v2_lattice3(X0)
        & v2_yellow_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
   => ( ? [X1] :
          ( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),X1)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
          & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(sK2)))
          & ~ v1_xboole_0(X1) )
      & l1_orders_2(sK2)
      & v2_lattice3(sK2)
      & v2_yellow_0(sK2)
      & v4_orders_2(sK2)
      & v3_orders_2(sK2)
      & v2_orders_2(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f188,plain,
    ( ? [X1] :
        ( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),X1)
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
        & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(sK2)))
        & ~ v1_xboole_0(X1) )
   => ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3)
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
      & v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
      & ~ v1_xboole_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ? [X0] :
      ( ? [X1] :
          ( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
          & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l1_orders_2(X0)
      & v2_lattice3(X0)
      & v2_yellow_0(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ? [X0] :
      ( ? [X1] :
          ( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
          & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l1_orders_2(X0)
      & v2_lattice3(X0)
      & v2_yellow_0(X0)
      & v4_orders_2(X0)
      & v3_orders_2(X0)
      & v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l1_orders_2(X0)
          & v2_lattice3(X0)
          & v2_yellow_0(X0)
          & v4_orders_2(X0)
          & v3_orders_2(X0)
          & v2_orders_2(X0) )
       => ! [X1] :
            ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
              & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
              & ~ v1_xboole_0(X1) )
           => k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0)
        & v2_yellow_0(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
            & v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
            & ~ v1_xboole_0(X1) )
         => k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',t1_waybel22) ).

fof(f483,plain,
    ( ~ l1_orders_2(sK2)
    | ~ spl14_1 ),
    inference(subsumption_resolution,[],[f482,f216]) ).

fof(f216,plain,
    v2_lattice3(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f482,plain,
    ( ~ v2_lattice3(sK2)
    | ~ l1_orders_2(sK2)
    | ~ spl14_1 ),
    inference(resolution,[],[f400,f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ v3_struct_0(X0)
      | ~ v2_lattice3(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( v2_lattice3(X0)
       => ~ v3_struct_0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',cc2_lattice3) ).

fof(f400,plain,
    ( v3_struct_0(sK2)
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl14_1
  <=> v3_struct_0(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f481,plain,
    spl14_4,
    inference(avatar_contradiction_clause,[],[f480]) ).

fof(f480,plain,
    ( $false
    | spl14_4 ),
    inference(subsumption_resolution,[],[f479,f215]) ).

fof(f215,plain,
    v2_yellow_0(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f479,plain,
    ( ~ v2_yellow_0(sK2)
    | spl14_4 ),
    inference(subsumption_resolution,[],[f475,f217]) ).

fof(f475,plain,
    ( ~ l1_orders_2(sK2)
    | ~ v2_yellow_0(sK2)
    | spl14_4 ),
    inference(resolution,[],[f412,f320]) ).

fof(f320,plain,
    ! [X0] :
      ( v1_yellow_0(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v2_yellow_0(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ( v1_yellow_0(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_yellow_0(X0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ( v1_yellow_0(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_yellow_0(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_yellow_0(X0) )
     => ( v1_yellow_0(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',fc10_yellow_7) ).

fof(f412,plain,
    ( ~ v1_yellow_0(k7_lattice3(sK2))
    | spl14_4 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f410,plain,
    ( spl14_4
  <=> v1_yellow_0(k7_lattice3(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f430,plain,
    spl14_3,
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | spl14_3 ),
    inference(subsumption_resolution,[],[f428,f216]) ).

fof(f428,plain,
    ( ~ v2_lattice3(sK2)
    | spl14_3 ),
    inference(subsumption_resolution,[],[f424,f217]) ).

fof(f424,plain,
    ( ~ l1_orders_2(sK2)
    | ~ v2_lattice3(sK2)
    | spl14_3 ),
    inference(resolution,[],[f408,f370]) ).

fof(f370,plain,
    ! [X0] :
      ( v1_lattice3(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ( v1_lattice3(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0))
        & ~ v3_struct_0(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0) ),
    inference(flattening,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ( v1_lattice3(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0))
        & ~ v3_struct_0(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_lattice3(X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_lattice3(X0) )
     => ( v1_lattice3(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0))
        & ~ v3_struct_0(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',fc5_yellow_7) ).

fof(f408,plain,
    ( ~ v1_lattice3(k7_lattice3(sK2))
    | spl14_3 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl14_3
  <=> v1_lattice3(k7_lattice3(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f423,plain,
    spl14_2,
    inference(avatar_contradiction_clause,[],[f422]) ).

fof(f422,plain,
    ( $false
    | spl14_2 ),
    inference(subsumption_resolution,[],[f421,f212]) ).

fof(f212,plain,
    v2_orders_2(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f421,plain,
    ( ~ v2_orders_2(sK2)
    | spl14_2 ),
    inference(subsumption_resolution,[],[f420,f213]) ).

fof(f213,plain,
    v3_orders_2(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f420,plain,
    ( ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | spl14_2 ),
    inference(subsumption_resolution,[],[f419,f214]) ).

fof(f214,plain,
    v4_orders_2(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f419,plain,
    ( ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | spl14_2 ),
    inference(subsumption_resolution,[],[f415,f217]) ).

fof(f415,plain,
    ( ~ l1_orders_2(sK2)
    | ~ v4_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | spl14_2 ),
    inference(resolution,[],[f404,f374]) ).

fof(f374,plain,
    ! [X0] :
      ( v4_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ( v4_orders_2(k7_lattice3(X0))
        & v3_orders_2(k7_lattice3(X0))
        & v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ( v4_orders_2(k7_lattice3(X0))
        & v3_orders_2(k7_lattice3(X0))
        & v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v4_orders_2(k7_lattice3(X0))
        & v3_orders_2(k7_lattice3(X0))
        & v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',fc5_lattice3) ).

fof(f404,plain,
    ( ~ v4_orders_2(k7_lattice3(sK2))
    | spl14_2 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl14_2
  <=> v4_orders_2(k7_lattice3(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f413,plain,
    ( spl14_1
    | ~ spl14_2
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f396,f410,f406,f402,f398]) ).

fof(f396,plain,
    ( ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f395,f212]) ).

fof(f395,plain,
    ( ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | ~ v2_orders_2(sK2)
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f394,f213]) ).

fof(f394,plain,
    ( ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f393,f217]) ).

fof(f393,plain,
    ( ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | ~ l1_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f392,f219]) ).

fof(f219,plain,
    v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2))),
    inference(cnf_transformation,[],[f189]) ).

fof(f392,plain,
    ( ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
    | ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | ~ l1_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f391,f220]) ).

fof(f220,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),
    inference(cnf_transformation,[],[f189]) ).

fof(f391,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
    | ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
    | ~ v1_yellow_0(k7_lattice3(sK2))
    | ~ v1_lattice3(k7_lattice3(sK2))
    | ~ v4_orders_2(k7_lattice3(sK2))
    | ~ l1_orders_2(sK2)
    | ~ v3_orders_2(sK2)
    | ~ v2_orders_2(sK2)
    | v3_struct_0(sK2) ),
    inference(equality_resolution,[],[f390]) ).

fof(f390,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(X0)))
      | ~ v1_yellow_0(k7_lattice3(X0))
      | ~ v1_lattice3(k7_lattice3(X0))
      | ~ v4_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(subsumption_resolution,[],[f389,f380]) ).

fof(f380,plain,
    ! [X0] :
      ( v2_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ( v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ( v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v2_orders_2(X0) )
     => ( v2_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',fc1_yellow_7) ).

fof(f389,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(X0)))
      | ~ v1_yellow_0(k7_lattice3(X0))
      | ~ v1_lattice3(k7_lattice3(X0))
      | ~ v4_orders_2(k7_lattice3(X0))
      | ~ v2_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(subsumption_resolution,[],[f388,f378]) ).

fof(f378,plain,
    ! [X0] :
      ( v3_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ( v3_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0) ),
    inference(flattening,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ( v3_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_orders_2(X0) )
     => ( v3_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',fc2_yellow_7) ).

fof(f388,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(X0)))
      | ~ v1_yellow_0(k7_lattice3(X0))
      | ~ v1_lattice3(k7_lattice3(X0))
      | ~ v4_orders_2(k7_lattice3(X0))
      | ~ v3_orders_2(k7_lattice3(X0))
      | ~ v2_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(subsumption_resolution,[],[f385,f382]) ).

fof(f382,plain,
    ! [X0] :
      ( l1_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ( l1_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ( l1_orders_2(k7_lattice3(X0))
        & v1_orders_2(k7_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',dt_k7_lattice3) ).

fof(f385,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(X0)))
      | ~ l1_orders_2(k7_lattice3(X0))
      | ~ v1_yellow_0(k7_lattice3(X0))
      | ~ v1_lattice3(k7_lattice3(X0))
      | ~ v4_orders_2(k7_lattice3(X0))
      | ~ v3_orders_2(k7_lattice3(X0))
      | ~ v2_orders_2(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(superposition,[],[f384,f321]) ).

fof(f321,plain,
    ! [X0] :
      ( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
      | ~ l1_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0)
        & ~ v3_struct_0(X0) )
     => k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',t7_waybel16) ).

fof(f384,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k8_waybel_0(X0)))
      | ~ l1_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(subsumption_resolution,[],[f383,f218]) ).

fof(f218,plain,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f189]) ).

fof(f383,plain,
    ! [X0] :
      ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK3)
      | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
      | ~ v1_waybel_0(sK3,k2_yellow_1(k8_waybel_0(X0)))
      | v1_xboole_0(sK3)
      | ~ l1_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(superposition,[],[f221,f244]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
      | ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
      | v1_xboole_0(X1)
      | ~ l1_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
          | ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l1_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
          | ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l1_orders_2(X0)
      | ~ v1_yellow_0(X0)
      | ~ v1_lattice3(X0)
      | ~ v4_orders_2(X0)
      | ~ v3_orders_2(X0)
      | ~ v2_orders_2(X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ! [X0] :
      ( ( l1_orders_2(X0)
        & v1_yellow_0(X0)
        & v1_lattice3(X0)
        & v4_orders_2(X0)
        & v3_orders_2(X0)
        & v2_orders_2(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
            & v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
            & ~ v1_xboole_0(X1) )
         => k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704',t9_waybel13) ).

fof(f221,plain,
    k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3),
    inference(cnf_transformation,[],[f189]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.12  % 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
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 12:05:48 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Q99gTLD26O/Vampire---4.8_12704
% 0.62/0.81  % (12819)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)
% 0.62/0.81  % (12820)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)
% 0.62/0.81  % (12821)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (12824)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)
% 0.62/0.81  % (12823)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)
% 0.62/0.81  % (12822)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)
% 0.62/0.81  % (12827)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)
% 0.62/0.81  % (12826)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)
% 0.62/0.81  % (12822)Refutation not found, incomplete strategy% (12822)------------------------------
% 0.62/0.81  % (12822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (12822)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (12827)Refutation not found, incomplete strategy% (12827)------------------------------
% 0.62/0.81  % (12827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (12822)Memory used [KB]: 1133
% 0.62/0.81  % (12822)Time elapsed: 0.004 s
% 0.62/0.81  % (12822)Instructions burned: 4 (million)
% 0.62/0.81  % (12827)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (12827)Memory used [KB]: 1145
% 0.62/0.81  % (12827)Time elapsed: 0.004 s
% 0.62/0.81  % (12827)Instructions burned: 5 (million)
% 0.62/0.81  % (12822)------------------------------
% 0.62/0.81  % (12822)------------------------------
% 0.62/0.81  % (12827)------------------------------
% 0.62/0.81  % (12827)------------------------------
% 0.62/0.81  % (12824)First to succeed.
% 0.62/0.82  % (12824)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12817"
% 0.62/0.82  % (12824)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (12824)------------------------------
% 0.62/0.82  % (12824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (12824)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (12824)Memory used [KB]: 1242
% 0.62/0.82  % (12824)Time elapsed: 0.007 s
% 0.62/0.82  % (12824)Instructions burned: 11 (million)
% 0.62/0.82  % (12817)Success in time 0.49 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------