TSTP Solution File: LAT310+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.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 Aug 31 17:33:43 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  140 (  24 unt;   0 def)
%            Number of atoms       :  620 (  13 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  781 ( 301   ~; 298   |; 131   &)
%                                         (  24 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  22 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  129 ( 101   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f477,plain,
    $false,
    inference(avatar_sat_refutation,[],[f198,f203,f264,f287,f289,f291,f310,f333,f335,f342,f349,f393,f400,f402,f406,f408,f422,f424,f430,f445,f463,f476]) ).

fof(f476,plain,
    ( ~ spl18_14
    | spl18_11
    | spl18_9
    | ~ spl18_15
    | ~ spl18_10
    | spl18_13 ),
    inference(avatar_split_clause,[],[f475,f249,f237,f257,f233,f241,f253]) ).

fof(f253,plain,
    ( spl18_14
  <=> l3_lattices(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

fof(f241,plain,
    ( spl18_11
  <=> v1_xboole_0(k19_filter_2(sK4,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

fof(f233,plain,
    ( spl18_9
  <=> v3_struct_0(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).

fof(f257,plain,
    ( spl18_15
  <=> v10_lattices(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f237,plain,
    ( spl18_10
  <=> m1_subset_1(k19_filter_2(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).

fof(f249,plain,
    ( spl18_13
  <=> m2_filter_2(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

fof(f475,plain,
    ( ~ m1_subset_1(k19_filter_2(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | v1_xboole_0(k19_filter_2(sK4,sK5))
    | ~ l3_lattices(sK4)
    | spl18_13 ),
    inference(resolution,[],[f251,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v10_lattices(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | v1_xboole_0(X1) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( m2_filter_2(k19_filter_2(X0,X1),X0)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & ~ v1_xboole_0(X1)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => m2_filter_2(k19_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).

fof(f251,plain,
    ( ~ m2_filter_2(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),sK4)
    | spl18_13 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f463,plain,
    ~ spl18_34,
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | ~ spl18_34 ),
    inference(resolution,[],[f382,f144]) ).

fof(f144,plain,
    ~ v1_xboole_0(sK7),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( v10_lattices(sK4)
    & ~ v3_struct_0(sK4)
    & m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
    & ~ v1_xboole_0(sK6)
    & m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
    & ~ v1_xboole_0(sK7)
    & ( ( ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,sK7))
        & r1_tarski(sK6,sK7) )
      | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
    & m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
    & ~ v1_xboole_0(sK5)
    & l3_lattices(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f67,f99,f98,f97,f96]) ).

fof(f96,plain,
    ( ? [X0] :
        ( v10_lattices(X0)
        & ~ v3_struct_0(X0)
        & ? [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ? [X2] :
                ( ~ v1_xboole_0(X2)
                & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ? [X3] :
                    ( ~ v1_xboole_0(X3)
                    & ( ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                        & r1_tarski(X2,X3) )
                      | ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
                    & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
            & ~ v1_xboole_0(X1) )
        & l3_lattices(X0) )
   => ( v10_lattices(sK4)
      & ~ v3_struct_0(sK4)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
          & ? [X2] :
              ( ~ v1_xboole_0(X2)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4)))
              & ? [X3] :
                  ( ~ v1_xboole_0(X3)
                  & ( ( ~ r1_tarski(k19_filter_2(sK4,X2),k19_filter_2(sK4,X3))
                      & r1_tarski(X2,X3) )
                    | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,X1)),k19_filter_2(sK4,X1)) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
          & ~ v1_xboole_0(X1) )
      & l3_lattices(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ( ? [X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
        & ? [X2] :
            ( ~ v1_xboole_0(X2)
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4)))
            & ? [X3] :
                ( ~ v1_xboole_0(X3)
                & ( ( ~ r1_tarski(k19_filter_2(sK4,X2),k19_filter_2(sK4,X3))
                    & r1_tarski(X2,X3) )
                  | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,X1)),k19_filter_2(sK4,X1)) )
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
        & ~ v1_xboole_0(X1) )
   => ( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
      & ? [X2] :
          ( ~ v1_xboole_0(X2)
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4)))
          & ? [X3] :
              ( ~ v1_xboole_0(X3)
              & ( ( ~ r1_tarski(k19_filter_2(sK4,X2),k19_filter_2(sK4,X3))
                  & r1_tarski(X2,X3) )
                | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
              & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
      & ~ v1_xboole_0(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( ? [X2] :
        ( ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4)))
        & ? [X3] :
            ( ~ v1_xboole_0(X3)
            & ( ( ~ r1_tarski(k19_filter_2(sK4,X2),k19_filter_2(sK4,X3))
                & r1_tarski(X2,X3) )
              | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
            & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) )
   => ( ~ v1_xboole_0(sK6)
      & m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
      & ? [X3] :
          ( ~ v1_xboole_0(X3)
          & ( ( ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,X3))
              & r1_tarski(sK6,X3) )
            | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
          & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ( ? [X3] :
        ( ~ v1_xboole_0(X3)
        & ( ( ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,X3))
            & r1_tarski(sK6,X3) )
          | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK4))) )
   => ( ~ v1_xboole_0(sK7)
      & ( ( ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,sK7))
          & r1_tarski(sK6,sK7) )
        | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) )
      & m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ? [X0] :
      ( v10_lattices(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & ? [X2] :
              ( ~ v1_xboole_0(X2)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ? [X3] :
                  ( ~ v1_xboole_0(X3)
                  & ( ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) )
                    | ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
          & ~ v1_xboole_0(X1) )
      & l3_lattices(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
                      & r1_tarski(X2,X3) )
                    | ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
                  & ~ v1_xboole_0(X3)
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
              & 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) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

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

fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(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] :
                  ( ( ~ v1_xboole_0(X3)
                    & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
                 => ( ( r1_tarski(X2,X3)
                     => r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
                    & r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).

fof(f382,plain,
    ( v1_xboole_0(sK7)
    | ~ spl18_34 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl18_34
  <=> v1_xboole_0(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).

fof(f445,plain,
    ( spl18_9
    | ~ spl18_12
    | ~ spl18_13
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_10
    | ~ spl18_8
    | spl18_11
    | spl18_2 ),
    inference(avatar_split_clause,[],[f443,f195,f241,f229,f237,f257,f253,f249,f245,f233]) ).

fof(f245,plain,
    ( spl18_12
  <=> m2_filter_2(k19_filter_2(sK4,sK5),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).

fof(f229,plain,
    ( spl18_8
  <=> r1_tarski(k19_filter_2(sK4,sK5),k19_filter_2(sK4,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

fof(f195,plain,
    ( spl18_2
  <=> r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

fof(f443,plain,
    ( v1_xboole_0(k19_filter_2(sK4,sK5))
    | ~ r1_tarski(k19_filter_2(sK4,sK5),k19_filter_2(sK4,sK5))
    | ~ m1_subset_1(k19_filter_2(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m2_filter_2(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),sK4)
    | ~ m2_filter_2(k19_filter_2(sK4,sK5),sK4)
    | v3_struct_0(sK4)
    | spl18_2 ),
    inference(resolution,[],[f197,f180]) ).

fof(f180,plain,
    ! [X3,X0,X1] :
      ( r1_tarski(k19_filter_2(X0,X1),X3)
      | ~ r1_tarski(X1,X3)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | v1_xboole_0(X1)
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_filter_2(X3,X0) ),
    inference(equality_resolution,[],[f162]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ m2_filter_2(X2,X0)
      | ~ r1_tarski(X1,X3)
      | ~ m2_filter_2(X3,X0)
      | r1_tarski(X2,X3)
      | k19_filter_2(X0,X1) != X2
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m2_filter_2(X2,X0)
              | ( ( ( ! [X3] :
                        ( ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0)
                        | r1_tarski(X2,X3) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 )
                & ( k19_filter_2(X0,X1) = X2
                  | ( r1_tarski(X1,sK11(X0,X1,X2))
                    & m2_filter_2(sK11(X0,X1,X2),X0)
                    & ~ r1_tarski(X2,sK11(X0,X1,X2)) )
                  | ~ r1_tarski(X1,X2) ) ) )
          | v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f111,f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( r1_tarski(X1,X4)
          & m2_filter_2(X4,X0)
          & ~ r1_tarski(X2,X4) )
     => ( r1_tarski(X1,sK11(X0,X1,X2))
        & m2_filter_2(sK11(X0,X1,X2),X0)
        & ~ r1_tarski(X2,sK11(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m2_filter_2(X2,X0)
              | ( ( ( ! [X3] :
                        ( ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0)
                        | r1_tarski(X2,X3) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 )
                & ( k19_filter_2(X0,X1) = X2
                  | ? [X4] :
                      ( r1_tarski(X1,X4)
                      & m2_filter_2(X4,X0)
                      & ~ r1_tarski(X2,X4) )
                  | ~ r1_tarski(X1,X2) ) ) )
          | v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m2_filter_2(X2,X0)
              | ( ( ( ! [X3] :
                        ( ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0)
                        | r1_tarski(X2,X3) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 )
                & ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0)
                      & ~ r1_tarski(X2,X3) )
                  | ~ r1_tarski(X1,X2) ) ) )
          | v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m2_filter_2(X2,X0)
              | ( ( ( ! [X3] :
                        ( ~ r1_tarski(X1,X3)
                        | ~ m2_filter_2(X3,X0)
                        | r1_tarski(X2,X3) )
                    & r1_tarski(X1,X2) )
                  | k19_filter_2(X0,X1) != X2 )
                & ( k19_filter_2(X0,X1) = X2
                  | ? [X3] :
                      ( r1_tarski(X1,X3)
                      & m2_filter_2(X3,X0)
                      & ~ r1_tarski(X2,X3) )
                  | ~ r1_tarski(X1,X2) ) ) )
          | v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ m2_filter_2(X2,X0)
              | ( ( ! [X3] :
                      ( ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,X0)
                      | r1_tarski(X2,X3) )
                  & r1_tarski(X1,X2) )
              <=> k19_filter_2(X0,X1) = X2 ) )
          | v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_tarski(X1,X2)
                  & ! [X3] :
                      ( r1_tarski(X2,X3)
                      | ~ r1_tarski(X1,X3)
                      | ~ m2_filter_2(X3,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(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)
             => ( ( r1_tarski(X1,X2)
                  & ! [X3] :
                      ( m2_filter_2(X3,X0)
                     => ( r1_tarski(X1,X3)
                       => r1_tarski(X2,X3) ) ) )
              <=> k19_filter_2(X0,X1) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).

fof(f197,plain,
    ( ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5))
    | spl18_2 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f430,plain,
    spl18_33,
    inference(avatar_contradiction_clause,[],[f425]) ).

fof(f425,plain,
    ( $false
    | spl18_33 ),
    inference(resolution,[],[f378,f141]) ).

fof(f141,plain,
    m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))),
    inference(cnf_transformation,[],[f100]) ).

fof(f378,plain,
    ( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
    | spl18_33 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f376,plain,
    ( spl18_33
  <=> m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).

fof(f424,plain,
    ( spl18_9
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_33
    | spl18_34
    | spl18_24 ),
    inference(avatar_split_clause,[],[f423,f318,f380,f376,f257,f253,f233]) ).

fof(f318,plain,
    ( spl18_24
  <=> m2_filter_2(k19_filter_2(sK4,sK7),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).

fof(f423,plain,
    ( v1_xboole_0(sK7)
    | ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | v3_struct_0(sK4)
    | spl18_24 ),
    inference(resolution,[],[f320,f165]) ).

fof(f320,plain,
    ( ~ m2_filter_2(k19_filter_2(sK4,sK7),sK4)
    | spl18_24 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f422,plain,
    ( ~ spl18_3
    | spl18_34
    | ~ spl18_24
    | spl18_9
    | ~ spl18_33
    | ~ spl18_14
    | ~ spl18_15
    | spl18_23 ),
    inference(avatar_split_clause,[],[f418,f314,f257,f253,f376,f233,f318,f380,f200]) ).

fof(f200,plain,
    ( spl18_3
  <=> r1_tarski(sK6,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f314,plain,
    ( spl18_23
  <=> r1_tarski(sK6,k19_filter_2(sK4,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).

fof(f418,plain,
    ( ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK4)))
    | v3_struct_0(sK4)
    | ~ m2_filter_2(k19_filter_2(sK4,sK7),sK4)
    | v1_xboole_0(sK7)
    | ~ r1_tarski(sK6,sK7)
    | spl18_23 ),
    inference(resolution,[],[f336,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( r1_tarski(X1,k19_filter_2(X0,X1))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ m2_filter_2(k19_filter_2(X0,X1),X0)
      | ~ v10_lattices(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1) ),
    inference(equality_resolution,[],[f161]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ m2_filter_2(X2,X0)
      | r1_tarski(X1,X2)
      | k19_filter_2(X0,X1) != X2
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f336,plain,
    ( ! [X0] :
        ( ~ r1_tarski(X0,k19_filter_2(sK4,sK7))
        | ~ r1_tarski(sK6,X0) )
    | spl18_23 ),
    inference(resolution,[],[f316,f154]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(X0,X2)
      | ~ r1_tarski(X1,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ~ r1_tarski(X1,X2)
      | r1_tarski(X0,X2)
      | ~ r1_tarski(X0,X1) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X1,X0,X2] :
      ( ~ r1_tarski(X0,X2)
      | r1_tarski(X1,X2)
      | ~ r1_tarski(X1,X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X2,X1] :
      ( r1_tarski(X1,X2)
      | ~ r1_tarski(X1,X0)
      | ~ r1_tarski(X0,X2) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X2,X1] :
      ( ( r1_tarski(X1,X0)
        & r1_tarski(X0,X2) )
     => r1_tarski(X1,X2) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X1,X0,X2] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X0,X1) )
     => r1_tarski(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f316,plain,
    ( ~ r1_tarski(sK6,k19_filter_2(sK4,sK7))
    | spl18_23 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f408,plain,
    ( spl18_9
    | ~ spl18_14
    | ~ spl18_15
    | ~ spl18_11
    | ~ spl18_12 ),
    inference(avatar_split_clause,[],[f407,f245,f241,f257,f253,f233]) ).

fof(f407,plain,
    ( ~ v1_xboole_0(k19_filter_2(sK4,sK5))
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ spl18_12 ),
    inference(resolution,[],[f246,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ m2_filter_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v1_xboole_0(X1)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) )
          | ~ m2_filter_2(X1,X0) )
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( v10_lattices(X0)
        & ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( ~ v1_xboole_0(X1)
            & m2_lattice4(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f246,plain,
    ( m2_filter_2(k19_filter_2(sK4,sK5),sK4)
    | ~ spl18_12 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f406,plain,
    ~ spl18_17,
    inference(avatar_contradiction_clause,[],[f405]) ).

fof(f405,plain,
    ( $false
    | ~ spl18_17 ),
    inference(resolution,[],[f273,f140]) ).

fof(f140,plain,
    ~ v1_xboole_0(sK5),
    inference(cnf_transformation,[],[f100]) ).

fof(f273,plain,
    ( v1_xboole_0(sK5)
    | ~ spl18_17 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl18_17
  <=> v1_xboole_0(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).

fof(f402,plain,
    ~ spl18_25,
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | ~ spl18_25 ),
    inference(resolution,[],[f324,f146]) ).

fof(f146,plain,
    ~ v1_xboole_0(sK6),
    inference(cnf_transformation,[],[f100]) ).

fof(f324,plain,
    ( v1_xboole_0(sK6)
    | ~ spl18_25 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl18_25
  <=> v1_xboole_0(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).

fof(f400,plain,
    ( ~ spl18_14
    | spl18_9
    | ~ spl18_26
    | ~ spl18_15
    | spl18_25
    | spl18_27 ),
    inference(avatar_split_clause,[],[f399,f330,f322,f257,f326,f233,f253]) ).

fof(f326,plain,
    ( spl18_26
  <=> m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).

fof(f330,plain,
    ( spl18_27
  <=> m2_filter_2(k19_filter_2(sK4,sK6),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).

fof(f399,plain,
    ( v1_xboole_0(sK6)
    | ~ v10_lattices(sK4)
    | ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
    | v3_struct_0(sK4)
    | ~ l3_lattices(sK4)
    | spl18_27 ),
    inference(resolution,[],[f332,f165]) ).

fof(f332,plain,
    ( ~ m2_filter_2(k19_filter_2(sK4,sK6),sK4)
    | spl18_27 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f393,plain,
    spl18_26,
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | spl18_26 ),
    inference(resolution,[],[f328,f145]) ).

fof(f145,plain,
    m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
    inference(cnf_transformation,[],[f100]) ).

fof(f328,plain,
    ( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
    | spl18_26 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f349,plain,
    ~ spl18_9,
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | ~ spl18_9 ),
    inference(resolution,[],[f235,f148]) ).

fof(f148,plain,
    ~ v3_struct_0(sK4),
    inference(cnf_transformation,[],[f100]) ).

fof(f235,plain,
    ( v3_struct_0(sK4)
    | ~ spl18_9 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f342,plain,
    spl18_18,
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f337,plain,
    ( $false
    | spl18_18 ),
    inference(resolution,[],[f277,f147]) ).

fof(f147,plain,
    m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))),
    inference(cnf_transformation,[],[f100]) ).

fof(f277,plain,
    ( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
    | spl18_18 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl18_18
  <=> m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).

fof(f335,plain,
    ( ~ spl18_15
    | ~ spl18_18
    | spl18_9
    | ~ spl18_14
    | spl18_17
    | spl18_12 ),
    inference(avatar_split_clause,[],[f334,f245,f271,f253,f233,f275,f257]) ).

fof(f334,plain,
    ( v1_xboole_0(sK5)
    | ~ l3_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
    | ~ v10_lattices(sK4)
    | spl18_12 ),
    inference(resolution,[],[f247,f165]) ).

fof(f247,plain,
    ( ~ m2_filter_2(k19_filter_2(sK4,sK5),sK4)
    | spl18_12 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f333,plain,
    ( ~ spl18_23
    | ~ spl18_24
    | ~ spl18_15
    | spl18_25
    | ~ spl18_26
    | ~ spl18_14
    | spl18_9
    | ~ spl18_27
    | spl18_1 ),
    inference(avatar_split_clause,[],[f311,f191,f330,f233,f253,f326,f322,f257,f318,f314]) ).

fof(f191,plain,
    ( spl18_1
  <=> r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

fof(f311,plain,
    ( ~ m2_filter_2(k19_filter_2(sK4,sK6),sK4)
    | v3_struct_0(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
    | v1_xboole_0(sK6)
    | ~ v10_lattices(sK4)
    | ~ m2_filter_2(k19_filter_2(sK4,sK7),sK4)
    | ~ r1_tarski(sK6,k19_filter_2(sK4,sK7))
    | spl18_1 ),
    inference(resolution,[],[f193,f180]) ).

fof(f193,plain,
    ( ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,sK7))
    | spl18_1 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f310,plain,
    ( ~ spl18_15
    | ~ spl18_14
    | ~ spl18_12
    | spl18_9
    | spl18_19 ),
    inference(avatar_split_clause,[],[f309,f284,f233,f245,f253,f257]) ).

fof(f284,plain,
    ( spl18_19
  <=> m2_lattice4(k19_filter_2(sK4,sK5),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).

fof(f309,plain,
    ( v3_struct_0(sK4)
    | ~ m2_filter_2(k19_filter_2(sK4,sK5),sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | spl18_19 ),
    inference(resolution,[],[f286,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | v3_struct_0(X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f286,plain,
    ( ~ m2_lattice4(k19_filter_2(sK4,sK5),sK4)
    | spl18_19 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f291,plain,
    spl18_15,
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | spl18_15 ),
    inference(resolution,[],[f259,f149]) ).

fof(f149,plain,
    v10_lattices(sK4),
    inference(cnf_transformation,[],[f100]) ).

fof(f259,plain,
    ( ~ v10_lattices(sK4)
    | spl18_15 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f289,plain,
    spl18_14,
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | spl18_14 ),
    inference(resolution,[],[f255,f139]) ).

fof(f139,plain,
    l3_lattices(sK4),
    inference(cnf_transformation,[],[f100]) ).

fof(f255,plain,
    ( ~ l3_lattices(sK4)
    | spl18_14 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f287,plain,
    ( spl18_9
    | ~ spl18_15
    | ~ spl18_14
    | ~ spl18_19
    | spl18_10 ),
    inference(avatar_split_clause,[],[f279,f237,f284,f253,f257,f233]) ).

fof(f279,plain,
    ( ~ m2_lattice4(k19_filter_2(sK4,sK5),sK4)
    | ~ l3_lattices(sK4)
    | ~ v10_lattices(sK4)
    | v3_struct_0(sK4)
    | spl18_10 ),
    inference(resolution,[],[f239,f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ m2_lattice4(X1,X0)
      | ~ v10_lattices(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ! [X1] :
          ( ~ m2_lattice4(X1,X0)
          | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m2_lattice4(X1,X0)
          | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0)
        & v10_lattices(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f239,plain,
    ( ~ m1_subset_1(k19_filter_2(sK4,sK5),k1_zfmisc_1(u1_struct_0(sK4)))
    | spl18_10 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f264,plain,
    spl18_8,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl18_8 ),
    inference(resolution,[],[f231,f174]) ).

fof(f174,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X1] : r1_tarski(X1,X1),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X1,X0] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f231,plain,
    ( ~ r1_tarski(k19_filter_2(sK4,sK5),k19_filter_2(sK4,sK5))
    | spl18_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f203,plain,
    ( ~ spl18_2
    | spl18_3 ),
    inference(avatar_split_clause,[],[f142,f200,f195]) ).

fof(f142,plain,
    ( r1_tarski(sK6,sK7)
    | ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5)) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f198,plain,
    ( ~ spl18_1
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f143,f195,f191]) ).

fof(f143,plain,
    ( ~ r1_tarski(k19_filter_2(sK4,k19_filter_2(sK4,sK5)),k19_filter_2(sK4,sK5))
    | ~ r1_tarski(k19_filter_2(sK4,sK6),k19_filter_2(sK4,sK7)) ),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 01:05:52 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (26934)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49  % (26926)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (26917)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (26914)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (26926)Instruction limit reached!
% 0.20/0.50  % (26926)------------------------------
% 0.20/0.50  % (26926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26926)Termination reason: Unknown
% 0.20/0.50  % (26926)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (26926)Memory used [KB]: 6140
% 0.20/0.50  % (26926)Time elapsed: 0.057 s
% 0.20/0.50  % (26926)Instructions burned: 7 (million)
% 0.20/0.50  % (26926)------------------------------
% 0.20/0.50  % (26926)------------------------------
% 0.20/0.51  % (26910)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (26914)Instruction limit reached!
% 0.20/0.51  % (26914)------------------------------
% 0.20/0.51  % (26914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26930)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51  % (26923)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51  % (26920)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52  % (26922)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (26914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26914)Termination reason: Unknown
% 0.20/0.52  % (26914)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (26914)Memory used [KB]: 6140
% 0.20/0.52  % (26914)Time elapsed: 0.108 s
% 0.20/0.52  % (26914)Instructions burned: 13 (million)
% 0.20/0.52  % (26914)------------------------------
% 0.20/0.52  % (26914)------------------------------
% 0.20/0.52  % (26930)First to succeed.
% 0.20/0.52  % (26918)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (26919)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (26930)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (26930)------------------------------
% 0.20/0.53  % (26930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26930)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (26930)Memory used [KB]: 6268
% 0.20/0.53  % (26930)Time elapsed: 0.125 s
% 0.20/0.53  % (26930)Instructions burned: 8 (million)
% 0.20/0.53  % (26930)------------------------------
% 0.20/0.53  % (26930)------------------------------
% 0.20/0.53  % (26904)Success in time 0.172 s
%------------------------------------------------------------------------------