TSTP Solution File: LAT310+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT310+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:34:49 EDT 2024

% Result   : Theorem 0.73s 0.90s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  124 (  16 unt;   0 def)
%            Number of atoms       :  615 (  13 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  806 ( 315   ~; 324   |; 130   &)
%                                         (  11 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  134 ( 106   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f704,plain,
    $false,
    inference(avatar_sat_refutation,[],[f212,f217,f394,f464,f484,f512,f537,f569,f693]) ).

fof(f693,plain,
    ( ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f692,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f691,f127]) ).

fof(f127,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
      | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
        & r1_tarski(sK2,sK3) ) )
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK3)
    & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK2)
    & m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
    & ~ v1_xboole_0(sK1)
    & l3_lattices(sK0)
    & v10_lattices(sK0)
    & ~ v3_struct_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f91,f90,f89,f88]) ).

fof(f88,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                        & r1_tarski(X2,X3) ) )
                    & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
                    | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(sK0)
      & v10_lattices(sK0)
      & ~ v3_struct_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
                  | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                    & r1_tarski(X2,X3) ) )
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
                & ~ v1_xboole_0(X3) )
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
            & ~ v1_xboole_0(X2) )
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
                | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                  & r1_tarski(X2,X3) ) )
              & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
              & ~ v1_xboole_0(X3) )
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X2) )
      & m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
              | ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
                & r1_tarski(X2,X3) ) )
            & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
            & ~ v1_xboole_0(X3) )
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X2) )
   => ( ? [X3] :
          ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
            | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
              & r1_tarski(sK2,X3) ) )
          & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
          & ~ v1_xboole_0(X3) )
      & m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ( ? [X3] :
        ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
          | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
            & r1_tarski(sK2,X3) ) )
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
        & ~ v1_xboole_0(X3) )
   => ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
        | ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
          & r1_tarski(sK2,sK3) ) )
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
      & ~ v1_xboole_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    | ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) ) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X3) )
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X1) )
           => ! [X2] :
                ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X2) )
               => ! [X3] :
                    ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                      & ~ v1_xboole_0(X3) )
                   => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                      & ( r1_tarski(X2,X3)
                       => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
             => ! [X3] :
                  ( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
                    & ~ v1_xboole_0(X3) )
                 => ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
                    & ( r1_tarski(X2,X3)
                     => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).

fof(f691,plain,
    ( v3_struct_0(sK0)
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f690,f128]) ).

fof(f128,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f690,plain,
    ( ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f689,f129]) ).

fof(f129,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f92]) ).

fof(f689,plain,
    ( ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f688,f134]) ).

fof(f134,plain,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f92]) ).

fof(f688,plain,
    ( v1_xboole_0(sK3)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f687,f135]) ).

fof(f135,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f687,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3
    | ~ spl20_9
    | spl20_10 ),
    inference(subsumption_resolution,[],[f686,f506]) ).

fof(f506,plain,
    ( m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl20_9
  <=> m2_filter_2(k19_filter_2(sK0,sK3),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f686,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | ~ spl20_3
    | spl20_10 ),
    inference(subsumption_resolution,[],[f680,f216]) ).

fof(f216,plain,
    ( r1_tarski(sK2,sK3)
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl20_3
  <=> r1_tarski(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f680,plain,
    ( ~ r1_tarski(sK2,sK3)
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK3)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_10 ),
    inference(resolution,[],[f580,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,k19_filter_2(X0,X1))
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X1,X2)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ( ~ r1_tarski(X2,sK4(X0,X1,X2))
                    & r1_tarski(X1,sK4(X0,X1,X2))
                    & m2_filter_2(sK4(X0,X1,X2),X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ r1_tarski(X2,X3)
          & r1_tarski(X1,X3)
          & m2_filter_2(X3,X0) )
     => ( ~ r1_tarski(X2,sK4(X0,X1,X2))
        & r1_tarski(X1,sK4(X0,X1,X2))
        & m2_filter_2(sK4(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X4] :
                        ( r1_tarski(X2,X4)
                        | ~ r1_tarski(X1,X4)
                        | ~ m2_filter_2(X4,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( ~ r1_tarski(X2,X3)
                      & r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0) )
                  | ~ r1_tarski(X1,X2) )
                & ( ( ! [X3] :
                        ( r1_tarski(X2,X3)
                        | ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0) )
                  & r1_tarski(X1,X2) ) )
              | ~ m2_filter_2(X2,X0) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( m2_filter_2(X2,X0)
             => ( k19_filter_2(X0,X1) = X2
              <=> ( ! [X3] :
                      ( m2_filter_2(X3,X0)
                     => ( r1_tarski(X1,X3)
                       => r1_tarski(X2,X3) ) )
                  & r1_tarski(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).

fof(f580,plain,
    ( ! [X0] :
        ( ~ r1_tarski(X0,k19_filter_2(sK0,sK3))
        | ~ r1_tarski(sK2,X0) )
    | spl20_10 ),
    inference(resolution,[],[f511,f185]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X0,X1) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f511,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | spl20_10 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl20_10
  <=> r1_tarski(sK2,k19_filter_2(sK0,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f569,plain,
    spl20_9,
    inference(avatar_contradiction_clause,[],[f568]) ).

fof(f568,plain,
    ( $false
    | spl20_9 ),
    inference(subsumption_resolution,[],[f567,f134]) ).

fof(f567,plain,
    ( v1_xboole_0(sK3)
    | spl20_9 ),
    inference(subsumption_resolution,[],[f565,f135]) ).

fof(f565,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK3)
    | spl20_9 ),
    inference(resolution,[],[f507,f293]) ).

fof(f293,plain,
    ! [X0] :
      ( m2_filter_2(k19_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | v1_xboole_0(X0) ),
    inference(subsumption_resolution,[],[f292,f127]) ).

fof(f292,plain,
    ! [X0] :
      ( m2_filter_2(k19_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | v1_xboole_0(X0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f267,f128]) ).

fof(f267,plain,
    ! [X0] :
      ( m2_filter_2(k19_filter_2(sK0,X0),sK0)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | v1_xboole_0(X0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f129,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & ~ v1_xboole_0(X1)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(k19_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).

fof(f507,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | spl20_9 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f537,plain,
    spl20_8,
    inference(avatar_contradiction_clause,[],[f536]) ).

fof(f536,plain,
    ( $false
    | spl20_8 ),
    inference(subsumption_resolution,[],[f535,f132]) ).

fof(f132,plain,
    ~ v1_xboole_0(sK2),
    inference(cnf_transformation,[],[f92]) ).

fof(f535,plain,
    ( v1_xboole_0(sK2)
    | spl20_8 ),
    inference(subsumption_resolution,[],[f533,f133]) ).

fof(f133,plain,
    m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f533,plain,
    ( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK2)
    | spl20_8 ),
    inference(resolution,[],[f503,f293]) ).

fof(f503,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | spl20_8 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl20_8
  <=> m2_filter_2(k19_filter_2(sK0,sK2),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f512,plain,
    ( ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | spl20_1 ),
    inference(avatar_split_clause,[],[f499,f205,f509,f505,f501]) ).

fof(f205,plain,
    ( spl20_1
  <=> r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f499,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f498,f127]) ).

fof(f498,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | v3_struct_0(sK0)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f497,f128]) ).

fof(f497,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f496,f129]) ).

fof(f496,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f495,f132]) ).

fof(f495,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_1 ),
    inference(subsumption_resolution,[],[f492,f133]) ).

fof(f492,plain,
    ( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
    | ~ m2_filter_2(k19_filter_2(sK0,sK3),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,sK2),sK0)
    | ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK2)
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_1 ),
    inference(resolution,[],[f207,f194]) ).

fof(f194,plain,
    ! [X0,X1,X4] :
      ( r1_tarski(k19_filter_2(X0,X1),X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(equality_resolution,[],[f149]) ).

fof(f149,plain,
    ! [X2,X0,X1,X4] :
      ( r1_tarski(X2,X4)
      | ~ r1_tarski(X1,X4)
      | ~ m2_filter_2(X4,X0)
      | k19_filter_2(X0,X1) != X2
      | ~ m2_filter_2(X2,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f207,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
    | spl20_1 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f484,plain,
    spl20_7,
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f483,plain,
    ( $false
    | spl20_7 ),
    inference(subsumption_resolution,[],[f482,f130]) ).

fof(f130,plain,
    ~ v1_xboole_0(sK1),
    inference(cnf_transformation,[],[f92]) ).

fof(f482,plain,
    ( v1_xboole_0(sK1)
    | spl20_7 ),
    inference(subsumption_resolution,[],[f472,f131]) ).

fof(f131,plain,
    m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f92]) ).

fof(f472,plain,
    ( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(sK1)
    | spl20_7 ),
    inference(resolution,[],[f293,f393]) ).

fof(f393,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | spl20_7 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl20_7
  <=> m2_filter_2(k19_filter_2(sK0,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f464,plain,
    ( ~ spl20_7
    | spl20_6 ),
    inference(avatar_split_clause,[],[f462,f387,f391]) ).

fof(f387,plain,
    ( spl20_6
  <=> m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f462,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | spl20_6 ),
    inference(resolution,[],[f458,f297]) ).

fof(f297,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0) ),
    inference(subsumption_resolution,[],[f296,f127]) ).

fof(f296,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f271,f128]) ).

fof(f271,plain,
    ! [X0] :
      ( m2_lattice4(X0,sK0)
      | ~ m2_filter_2(X0,sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f129,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f458,plain,
    ( ~ m2_lattice4(k19_filter_2(sK0,sK1),sK0)
    | spl20_6 ),
    inference(resolution,[],[f299,f389]) ).

fof(f389,plain,
    ( ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | spl20_6 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f299,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0) ),
    inference(subsumption_resolution,[],[f298,f127]) ).

fof(f298,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f272,f128]) ).

fof(f272,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
      | ~ m2_lattice4(X0,sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f129,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f394,plain,
    ( ~ spl20_6
    | ~ spl20_7
    | spl20_2 ),
    inference(avatar_split_clause,[],[f385,f209,f391,f387]) ).

fof(f209,plain,
    ( spl20_2
  <=> r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f385,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | spl20_2 ),
    inference(subsumption_resolution,[],[f384,f295]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ m2_filter_2(X0,sK0)
      | ~ v1_xboole_0(X0) ),
    inference(subsumption_resolution,[],[f294,f127]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | ~ m2_filter_2(X0,sK0)
      | v3_struct_0(sK0) ),
    inference(subsumption_resolution,[],[f270,f128]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | ~ m2_filter_2(X0,sK0)
      | ~ v10_lattices(sK0)
      | v3_struct_0(sK0) ),
    inference(resolution,[],[f129,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f384,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | spl20_2 ),
    inference(subsumption_resolution,[],[f383,f293]) ).

fof(f383,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | spl20_2 ),
    inference(subsumption_resolution,[],[f382,f127]) ).

fof(f382,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | v3_struct_0(sK0)
    | spl20_2 ),
    inference(subsumption_resolution,[],[f381,f128]) ).

fof(f381,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_2 ),
    inference(subsumption_resolution,[],[f380,f129]) ).

fof(f380,plain,
    ( ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_2 ),
    inference(subsumption_resolution,[],[f377,f183]) ).

fof(f183,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f377,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,sK1),k19_filter_2(sK0,sK1))
    | ~ m2_filter_2(k19_filter_2(sK0,sK1),sK0)
    | ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
    | ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
    | v1_xboole_0(k19_filter_2(sK0,sK1))
    | ~ l3_lattices(sK0)
    | ~ v10_lattices(sK0)
    | v3_struct_0(sK0)
    | spl20_2 ),
    inference(resolution,[],[f211,f194]) ).

fof(f211,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | spl20_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f217,plain,
    ( spl20_3
    | ~ spl20_2 ),
    inference(avatar_split_clause,[],[f136,f209,f214]) ).

fof(f136,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | r1_tarski(sK2,sK3) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f212,plain,
    ( ~ spl20_1
    | ~ spl20_2 ),
    inference(avatar_split_clause,[],[f137,f209,f205]) ).

fof(f137,plain,
    ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
    | ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
    inference(cnf_transformation,[],[f92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT310+1 : TPTP v8.2.0. Released v3.4.0.
% 0.00/0.13  % 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
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 19:44:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.89  % (17528)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.89  % (17527)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.89  % (17525)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.89  % (17529)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.89  % (17526)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.73/0.89  % (17530)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.89  % (17532)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.89  % (17531)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.73/0.90  % (17529)First to succeed.
% 0.73/0.90  % (17529)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17524"
% 0.73/0.90  % (17529)Refutation found. Thanks to Tanya!
% 0.73/0.90  % SZS status Theorem for theBenchmark
% 0.73/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.90  % (17529)------------------------------
% 0.73/0.90  % (17529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (17529)Termination reason: Refutation
% 0.73/0.90  
% 0.73/0.90  % (17529)Memory used [KB]: 1194
% 0.73/0.90  % (17529)Time elapsed: 0.010 s
% 0.73/0.90  % (17529)Instructions burned: 16 (million)
% 0.73/0.90  % (17524)Success in time 0.541 s
% 0.73/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------