TSTP Solution File: SEU413+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : 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 : Wed May  1 03:52:55 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  12 unt;   0 def)
%            Number of atoms       :  233 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  262 (  80   ~;  67   |;  90   &)
%                                         (   4 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   76 (  52   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f145,plain,
    $false,
    inference(avatar_sat_refutation,[],[f128,f136,f144]) ).

fof(f144,plain,
    ~ spl9_2,
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f142,f87]) ).

fof(f87,plain,
    ~ r2_hidden(sK2,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ~ r2_hidden(sK2,u1_struct_0(sK0))
    & r2_hidden(sK3,u1_struct_0(sK0))
    & r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
    & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
    & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
    & m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
    & m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
    & l1_orders_2(sK1)
    & l1_orders_2(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f48,f68,f67,f66,f65]) ).

fof(f65,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ r2_hidden(X2,u1_struct_0(X0))
                    & r2_hidden(X3,u1_struct_0(X0))
                    & r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
                    & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                    & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
                    & m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
                & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
            & l1_orders_2(X1) )
        & l1_orders_2(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ r2_hidden(X2,u1_struct_0(sK0))
                  & r2_hidden(X3,u1_struct_0(sK0))
                  & r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
                  & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                  & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
                  & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
          & l1_orders_2(X1) )
      & l1_orders_2(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ r2_hidden(X2,u1_struct_0(sK0))
                & r2_hidden(X3,u1_struct_0(sK0))
                & r1_orders_2(k1_latsum_1(sK0,X1),X2,X3)
                & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(X1)),X1)
                & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,X1))) )
            & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,X1))) )
        & l1_orders_2(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ r2_hidden(X2,u1_struct_0(sK0))
              & r2_hidden(X3,u1_struct_0(sK0))
              & r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
              & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
              & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
              & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
          & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
      & l1_orders_2(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ r2_hidden(X2,u1_struct_0(sK0))
            & r2_hidden(X3,u1_struct_0(sK0))
            & r1_orders_2(k1_latsum_1(sK0,sK1),X2,X3)
            & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
            & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
            & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
        & m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK0,sK1))) )
   => ( ? [X3] :
          ( ~ r2_hidden(sK2,u1_struct_0(sK0))
          & r2_hidden(X3,u1_struct_0(sK0))
          & r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
          & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
          & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
          & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
      & m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( ? [X3] :
        ( ~ r2_hidden(sK2,u1_struct_0(sK0))
        & r2_hidden(X3,u1_struct_0(sK0))
        & r1_orders_2(k1_latsum_1(sK0,sK1),sK2,X3)
        & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
        & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
        & m1_subset_1(X3,u1_struct_0(k1_latsum_1(sK0,sK1))) )
   => ( ~ r2_hidden(sK2,u1_struct_0(sK0))
      & r2_hidden(sK3,u1_struct_0(sK0))
      & r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3)
      & m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
      & v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1)
      & m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ r2_hidden(X2,u1_struct_0(X0))
                  & r2_hidden(X3,u1_struct_0(X0))
                  & r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
                  & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                  & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
                  & m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
          & l1_orders_2(X1) )
      & l1_orders_2(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ r2_hidden(X2,u1_struct_0(X0))
                  & r2_hidden(X3,u1_struct_0(X0))
                  & r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
                  & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                  & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
                  & m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1))) )
              & m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
          & l1_orders_2(X1) )
      & l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( l1_orders_2(X0)
       => ! [X1] :
            ( l1_orders_2(X1)
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
                   => ( ( r2_hidden(X3,u1_struct_0(X0))
                        & r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
                        & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                        & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
                     => r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))
                 => ( ( r2_hidden(X3,u1_struct_0(X0))
                      & r1_orders_2(k1_latsum_1(X0,X1),X2,X3)
                      & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                      & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
                   => r2_hidden(X2,u1_struct_0(X0)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.GWRMpzN7kk/Vampire---4.8_22558',t23_latsum_1) ).

fof(f142,plain,
    ( r2_hidden(sK2,u1_struct_0(sK0))
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f141,f86]) ).

fof(f86,plain,
    r2_hidden(sK3,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f69]) ).

fof(f141,plain,
    ( ~ r2_hidden(sK3,u1_struct_0(sK0))
    | r2_hidden(sK2,u1_struct_0(sK0))
    | ~ spl9_2 ),
    inference(resolution,[],[f132,f127]) ).

fof(f127,plain,
    ( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl9_2
  <=> r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
      | ~ r2_hidden(X0,u1_struct_0(sK0))
      | r2_hidden(X1,u1_struct_0(sK0)) ),
    inference(subsumption_resolution,[],[f131,f79]) ).

fof(f79,plain,
    l1_orders_2(sK0),
    inference(cnf_transformation,[],[f69]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,u1_struct_0(sK0))
      | ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
      | r2_hidden(X1,u1_struct_0(sK0))
      | ~ l1_orders_2(sK0) ),
    inference(subsumption_resolution,[],[f130,f80]) ).

fof(f80,plain,
    l1_orders_2(sK1),
    inference(cnf_transformation,[],[f69]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,u1_struct_0(sK0))
      | ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
      | r2_hidden(X1,u1_struct_0(sK0))
      | ~ l1_orders_2(sK1)
      | ~ l1_orders_2(sK0) ),
    inference(subsumption_resolution,[],[f129,f84]) ).

fof(f84,plain,
    m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f69]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,u1_struct_0(sK0))
      | ~ r2_hidden(k4_tarski(X1,X0),u1_orders_2(k1_latsum_1(sK0,sK1)))
      | ~ m1_subset_1(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
      | r2_hidden(X1,u1_struct_0(sK0))
      | ~ l1_orders_2(sK1)
      | ~ l1_orders_2(sK0) ),
    inference(resolution,[],[f83,f94]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
      | ~ r2_hidden(X3,u1_struct_0(X0))
      | ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
      | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
      | r2_hidden(X2,u1_struct_0(X0))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r2_hidden(X2,u1_struct_0(X0))
              | ~ r2_hidden(X3,u1_struct_0(X0))
              | ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
              | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
              | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( r2_hidden(X2,u1_struct_0(X0))
              | ~ r2_hidden(X3,u1_struct_0(X0))
              | ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
              | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
              | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ! [X2,X3] :
              ( ( r2_hidden(X3,u1_struct_0(X0))
                & r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
                & m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
                & v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
             => r2_hidden(X2,u1_struct_0(X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.GWRMpzN7kk/Vampire---4.8_22558',t21_latsum_1) ).

fof(f83,plain,
    v12_waybel_0(k3_xboole_0(u1_struct_0(sK0),u1_struct_0(sK1)),sK1),
    inference(cnf_transformation,[],[f69]) ).

fof(f136,plain,
    spl9_1,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl9_1 ),
    inference(subsumption_resolution,[],[f134,f79]) ).

fof(f134,plain,
    ( ~ l1_orders_2(sK0)
    | spl9_1 ),
    inference(subsumption_resolution,[],[f133,f80]) ).

fof(f133,plain,
    ( ~ l1_orders_2(sK1)
    | ~ l1_orders_2(sK0)
    | spl9_1 ),
    inference(resolution,[],[f123,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( l1_orders_2(k1_latsum_1(X0,X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) )
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X0) )
     => ( l1_orders_2(k1_latsum_1(X0,X1))
        & v1_orders_2(k1_latsum_1(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.GWRMpzN7kk/Vampire---4.8_22558',dt_k1_latsum_1) ).

fof(f123,plain,
    ( ~ l1_orders_2(k1_latsum_1(sK0,sK1))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl9_1
  <=> l1_orders_2(k1_latsum_1(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f128,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f119,f125,f121]) ).

fof(f119,plain,
    ( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
    | ~ l1_orders_2(k1_latsum_1(sK0,sK1)) ),
    inference(subsumption_resolution,[],[f118,f81]) ).

fof(f81,plain,
    m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1))),
    inference(cnf_transformation,[],[f69]) ).

fof(f118,plain,
    ( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
    | ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
    | ~ l1_orders_2(k1_latsum_1(sK0,sK1)) ),
    inference(subsumption_resolution,[],[f117,f82]) ).

fof(f82,plain,
    m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1))),
    inference(cnf_transformation,[],[f69]) ).

fof(f117,plain,
    ( r2_hidden(k4_tarski(sK2,sK3),u1_orders_2(k1_latsum_1(sK0,sK1)))
    | ~ m1_subset_1(sK3,u1_struct_0(k1_latsum_1(sK0,sK1)))
    | ~ m1_subset_1(sK2,u1_struct_0(k1_latsum_1(sK0,sK1)))
    | ~ l1_orders_2(k1_latsum_1(sK0,sK1)) ),
    inference(resolution,[],[f85,f97]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ r1_orders_2(X0,X1,X2)
      | r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_orders_2(X0,X1,X2)
                  | ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
                & ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
                  | ~ r1_orders_2(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l1_orders_2(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_orders_2(X0,X1,X2)
              <=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r1_orders_2(X0,X1,X2)
              <=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.GWRMpzN7kk/Vampire---4.8_22558',d9_orders_2) ).

fof(f85,plain,
    r1_orders_2(k1_latsum_1(sK0,sK1),sK2,sK3),
    inference(cnf_transformation,[],[f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:33:20 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.GWRMpzN7kk/Vampire---4.8_22558
% 0.61/0.77  % (22901)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 (2996ds/56Mi)
% 0.61/0.77  % (22893)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 (2996ds/34Mi)
% 0.61/0.77  % (22896)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (22894)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 (2996ds/51Mi)
% 0.61/0.77  % (22898)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 (2996ds/34Mi)
% 0.61/0.77  % (22899)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.77  % (22897)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.77  % (22900)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 (2996ds/83Mi)
% 0.61/0.77  % (22901)First to succeed.
% 0.61/0.77  % (22901)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (22901)------------------------------
% 0.61/0.77  % (22901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (22901)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (22901)Memory used [KB]: 1067
% 0.61/0.77  % (22901)Time elapsed: 0.003 s
% 0.61/0.77  % (22901)Instructions burned: 6 (million)
% 0.61/0.77  % (22901)------------------------------
% 0.61/0.77  % (22901)------------------------------
% 0.61/0.77  % (22725)Success in time 0.396 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------