TSTP Solution File: LAT295+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT295+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 23:34:28 EDT 2024

% Result   : Theorem 1.40s 0.98s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  153 (  25 unt;   0 def)
%            Number of atoms       :  683 ( 199 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  843 ( 313   ~; 319   |; 164   &)
%                                         (   7 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-6 aty)
%            Number of variables   :  161 ( 113   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5001,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3808,f3809,f4835,f4908,f4977,f5000]) ).

fof(f5000,plain,
    ( ~ spl83_1
    | ~ spl83_3
    | spl83_4 ),
    inference(avatar_contradiction_clause,[],[f4999]) ).

fof(f4999,plain,
    ( $false
    | ~ spl83_1
    | ~ spl83_3
    | spl83_4 ),
    inference(subsumption_resolution,[],[f4990,f4985]) ).

fof(f4985,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ spl83_1
    | ~ spl83_3 ),
    inference(subsumption_resolution,[],[f4984,f3763]) ).

fof(f3763,plain,
    m1_subset_1(sK5,u1_struct_0(sK1)),
    inference(definition_unfolding,[],[f3391,f3395]) ).

fof(f3395,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f3198]) ).

fof(f3198,plain,
    ( ( ( ~ r1_lattices(sK1,sK3,sK4)
        & r1_lattices(sK2,sK5,sK6) )
      | ( ~ r1_lattices(sK2,sK5,sK6)
        & r1_lattices(sK1,sK3,sK4) )
      | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,sK6)
      | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,sK6) )
    & sK4 = sK6
    & sK3 = sK5
    & m1_subset_1(sK6,u1_struct_0(sK2))
    & m1_subset_1(sK5,u1_struct_0(sK2))
    & m1_subset_1(sK4,u1_struct_0(sK1))
    & m1_subset_1(sK3,u1_struct_0(sK1))
    & g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2))
    & l3_lattices(sK2)
    & ~ v3_struct_0(sK2)
    & l3_lattices(sK1)
    & ~ v3_struct_0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f2931,f3197,f3196,f3195,f3194,f3193,f3192]) ).

fof(f3192,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ( ( ~ r1_lattices(X0,X2,X3)
                                & r1_lattices(X1,X4,X5) )
                              | ( ~ r1_lattices(X1,X4,X5)
                                & r1_lattices(X0,X2,X3) )
                              | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                              | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
                            & X3 = X5
                            & X2 = X4
                            & m1_subset_1(X5,u1_struct_0(X1)) )
                        & m1_subset_1(X4,u1_struct_0(X1)) )
                    & m1_subset_1(X3,u1_struct_0(X0)) )
                & m1_subset_1(X2,u1_struct_0(X0)) )
            & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
            & l3_lattices(X1)
            & ~ v3_struct_0(X1) )
        & l3_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ( ( ~ r1_lattices(sK1,X2,X3)
                              & r1_lattices(X1,X4,X5) )
                            | ( ~ r1_lattices(X1,X4,X5)
                              & r1_lattices(sK1,X2,X3) )
                            | k2_lattices(X1,X4,X5) != k2_lattices(sK1,X2,X3)
                            | k1_lattices(X1,X4,X5) != k1_lattices(sK1,X2,X3) )
                          & X3 = X5
                          & X2 = X4
                          & m1_subset_1(X5,u1_struct_0(X1)) )
                      & m1_subset_1(X4,u1_struct_0(X1)) )
                  & m1_subset_1(X3,u1_struct_0(sK1)) )
              & m1_subset_1(X2,u1_struct_0(sK1)) )
          & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
          & l3_lattices(X1)
          & ~ v3_struct_0(X1) )
      & l3_lattices(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f3193,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ( ( ~ r1_lattices(sK1,X2,X3)
                            & r1_lattices(X1,X4,X5) )
                          | ( ~ r1_lattices(X1,X4,X5)
                            & r1_lattices(sK1,X2,X3) )
                          | k2_lattices(X1,X4,X5) != k2_lattices(sK1,X2,X3)
                          | k1_lattices(X1,X4,X5) != k1_lattices(sK1,X2,X3) )
                        & X3 = X5
                        & X2 = X4
                        & m1_subset_1(X5,u1_struct_0(X1)) )
                    & m1_subset_1(X4,u1_struct_0(X1)) )
                & m1_subset_1(X3,u1_struct_0(sK1)) )
            & m1_subset_1(X2,u1_struct_0(sK1)) )
        & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
        & l3_lattices(X1)
        & ~ v3_struct_0(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ( ( ~ r1_lattices(sK1,X2,X3)
                          & r1_lattices(sK2,X4,X5) )
                        | ( ~ r1_lattices(sK2,X4,X5)
                          & r1_lattices(sK1,X2,X3) )
                        | k2_lattices(sK1,X2,X3) != k2_lattices(sK2,X4,X5)
                        | k1_lattices(sK1,X2,X3) != k1_lattices(sK2,X4,X5) )
                      & X3 = X5
                      & X2 = X4
                      & m1_subset_1(X5,u1_struct_0(sK2)) )
                  & m1_subset_1(X4,u1_struct_0(sK2)) )
              & m1_subset_1(X3,u1_struct_0(sK1)) )
          & m1_subset_1(X2,u1_struct_0(sK1)) )
      & g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2))
      & l3_lattices(sK2)
      & ~ v3_struct_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f3194,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ( ( ~ r1_lattices(sK1,X2,X3)
                        & r1_lattices(sK2,X4,X5) )
                      | ( ~ r1_lattices(sK2,X4,X5)
                        & r1_lattices(sK1,X2,X3) )
                      | k2_lattices(sK1,X2,X3) != k2_lattices(sK2,X4,X5)
                      | k1_lattices(sK1,X2,X3) != k1_lattices(sK2,X4,X5) )
                    & X3 = X5
                    & X2 = X4
                    & m1_subset_1(X5,u1_struct_0(sK2)) )
                & m1_subset_1(X4,u1_struct_0(sK2)) )
            & m1_subset_1(X3,u1_struct_0(sK1)) )
        & m1_subset_1(X2,u1_struct_0(sK1)) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ( ( ~ r1_lattices(sK1,sK3,X3)
                      & r1_lattices(sK2,X4,X5) )
                    | ( ~ r1_lattices(sK2,X4,X5)
                      & r1_lattices(sK1,sK3,X3) )
                    | k2_lattices(sK2,X4,X5) != k2_lattices(sK1,sK3,X3)
                    | k1_lattices(sK2,X4,X5) != k1_lattices(sK1,sK3,X3) )
                  & X3 = X5
                  & sK3 = X4
                  & m1_subset_1(X5,u1_struct_0(sK2)) )
              & m1_subset_1(X4,u1_struct_0(sK2)) )
          & m1_subset_1(X3,u1_struct_0(sK1)) )
      & m1_subset_1(sK3,u1_struct_0(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3195,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ( ( ~ r1_lattices(sK1,sK3,X3)
                    & r1_lattices(sK2,X4,X5) )
                  | ( ~ r1_lattices(sK2,X4,X5)
                    & r1_lattices(sK1,sK3,X3) )
                  | k2_lattices(sK2,X4,X5) != k2_lattices(sK1,sK3,X3)
                  | k1_lattices(sK2,X4,X5) != k1_lattices(sK1,sK3,X3) )
                & X3 = X5
                & sK3 = X4
                & m1_subset_1(X5,u1_struct_0(sK2)) )
            & m1_subset_1(X4,u1_struct_0(sK2)) )
        & m1_subset_1(X3,u1_struct_0(sK1)) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ( ( ~ r1_lattices(sK1,sK3,sK4)
                  & r1_lattices(sK2,X4,X5) )
                | ( ~ r1_lattices(sK2,X4,X5)
                  & r1_lattices(sK1,sK3,sK4) )
                | k2_lattices(sK2,X4,X5) != k2_lattices(sK1,sK3,sK4)
                | k1_lattices(sK2,X4,X5) != k1_lattices(sK1,sK3,sK4) )
              & sK4 = X5
              & sK3 = X4
              & m1_subset_1(X5,u1_struct_0(sK2)) )
          & m1_subset_1(X4,u1_struct_0(sK2)) )
      & m1_subset_1(sK4,u1_struct_0(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3196,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ( ( ~ r1_lattices(sK1,sK3,sK4)
                & r1_lattices(sK2,X4,X5) )
              | ( ~ r1_lattices(sK2,X4,X5)
                & r1_lattices(sK1,sK3,sK4) )
              | k2_lattices(sK2,X4,X5) != k2_lattices(sK1,sK3,sK4)
              | k1_lattices(sK2,X4,X5) != k1_lattices(sK1,sK3,sK4) )
            & sK4 = X5
            & sK3 = X4
            & m1_subset_1(X5,u1_struct_0(sK2)) )
        & m1_subset_1(X4,u1_struct_0(sK2)) )
   => ( ? [X5] :
          ( ( ( ~ r1_lattices(sK1,sK3,sK4)
              & r1_lattices(sK2,sK5,X5) )
            | ( ~ r1_lattices(sK2,sK5,X5)
              & r1_lattices(sK1,sK3,sK4) )
            | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,X5)
            | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,X5) )
          & sK4 = X5
          & sK3 = sK5
          & m1_subset_1(X5,u1_struct_0(sK2)) )
      & m1_subset_1(sK5,u1_struct_0(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f3197,plain,
    ( ? [X5] :
        ( ( ( ~ r1_lattices(sK1,sK3,sK4)
            & r1_lattices(sK2,sK5,X5) )
          | ( ~ r1_lattices(sK2,sK5,X5)
            & r1_lattices(sK1,sK3,sK4) )
          | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,X5)
          | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,X5) )
        & sK4 = X5
        & sK3 = sK5
        & m1_subset_1(X5,u1_struct_0(sK2)) )
   => ( ( ( ~ r1_lattices(sK1,sK3,sK4)
          & r1_lattices(sK2,sK5,sK6) )
        | ( ~ r1_lattices(sK2,sK5,sK6)
          & r1_lattices(sK1,sK3,sK4) )
        | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,sK6)
        | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,sK6) )
      & sK4 = sK6
      & sK3 = sK5
      & m1_subset_1(sK6,u1_struct_0(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f2931,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ( ( ~ r1_lattices(X0,X2,X3)
                              & r1_lattices(X1,X4,X5) )
                            | ( ~ r1_lattices(X1,X4,X5)
                              & r1_lattices(X0,X2,X3) )
                            | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                            | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
                          & X3 = X5
                          & X2 = X4
                          & m1_subset_1(X5,u1_struct_0(X1)) )
                      & m1_subset_1(X4,u1_struct_0(X1)) )
                  & m1_subset_1(X3,u1_struct_0(X0)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & l3_lattices(X1)
          & ~ v3_struct_0(X1) )
      & l3_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f2930]) ).

fof(f2930,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ( ( ~ r1_lattices(X0,X2,X3)
                              & r1_lattices(X1,X4,X5) )
                            | ( ~ r1_lattices(X1,X4,X5)
                              & r1_lattices(X0,X2,X3) )
                            | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                            | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
                          & X3 = X5
                          & X2 = X4
                          & m1_subset_1(X5,u1_struct_0(X1)) )
                      & m1_subset_1(X4,u1_struct_0(X1)) )
                  & m1_subset_1(X3,u1_struct_0(X0)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & l3_lattices(X1)
          & ~ v3_struct_0(X1) )
      & l3_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2925]) ).

fof(f2925,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( l3_lattices(X1)
              & ~ v3_struct_0(X1) )
           => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
             => ! [X2] :
                  ( m1_subset_1(X2,u1_struct_0(X0))
                 => ! [X3] :
                      ( m1_subset_1(X3,u1_struct_0(X0))
                     => ! [X4] :
                          ( m1_subset_1(X4,u1_struct_0(X1))
                         => ! [X5] :
                              ( m1_subset_1(X5,u1_struct_0(X1))
                             => ( ( X3 = X5
                                  & X2 = X4 )
                               => ( ( r1_lattices(X1,X4,X5)
                                   => r1_lattices(X0,X2,X3) )
                                  & ( r1_lattices(X0,X2,X3)
                                   => r1_lattices(X1,X4,X5) )
                                  & k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
                                  & k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f2924]) ).

fof(f2924,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( l3_lattices(X1)
            & ~ v3_struct_0(X1) )
         => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                   => ! [X4] :
                        ( m1_subset_1(X4,u1_struct_0(X1))
                       => ! [X5] :
                            ( m1_subset_1(X5,u1_struct_0(X1))
                           => ( ( X3 = X5
                                & X2 = X4 )
                             => ( ( r1_lattices(X1,X4,X5)
                                 => r1_lattices(X0,X2,X3) )
                                & ( r1_lattices(X0,X2,X3)
                                 => r1_lattices(X1,X4,X5) )
                                & k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
                                & k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).

fof(f3391,plain,
    m1_subset_1(sK3,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f3198]) ).

fof(f4984,plain,
    ( ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ spl83_1
    | ~ spl83_3 ),
    inference(forward_demodulation,[],[f4983,f4094]) ).

fof(f4094,plain,
    u1_struct_0(sK1) = u1_struct_0(sK2),
    inference(subsumption_resolution,[],[f4093,f3386]) ).

fof(f3386,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f3198]) ).

fof(f4093,plain,
    ( u1_struct_0(sK1) = u1_struct_0(sK2)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4058,f3387]) ).

fof(f3387,plain,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f3198]) ).

fof(f4058,plain,
    ( u1_struct_0(sK1) = u1_struct_0(sK2)
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[],[f3942,f3463]) ).

fof(f3463,plain,
    ! [X0] :
      ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f2980]) ).

fof(f2980,plain,
    ! [X0] :
      ( ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f2979]) ).

fof(f2979,plain,
    ! [X0] :
      ( ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2597]) ).

fof(f2597,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).

fof(f3942,plain,
    u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK1)),
    inference(subsumption_resolution,[],[f3941,f3388]) ).

fof(f3388,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f3198]) ).

fof(f3941,plain,
    ( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK1))
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f3936,f3389]) ).

fof(f3389,plain,
    l3_lattices(sK2),
    inference(cnf_transformation,[],[f3198]) ).

fof(f3936,plain,
    ( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK1))
    | ~ l3_lattices(sK2)
    | v3_struct_0(sK2) ),
    inference(superposition,[],[f3463,f3923]) ).

fof(f3923,plain,
    k1_lattice2(sK2) = k1_lattice2(sK1),
    inference(subsumption_resolution,[],[f3921,f3390]) ).

fof(f3390,plain,
    g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) = g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)),
    inference(cnf_transformation,[],[f3198]) ).

fof(f3921,plain,
    ( k1_lattice2(sK2) = k1_lattice2(sK1)
    | g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) != g3_lattices(u1_struct_0(sK2),u2_lattices(sK2),u1_lattices(sK2)) ),
    inference(resolution,[],[f3916,f3389]) ).

fof(f3916,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | k1_lattice2(X0) = k1_lattice2(sK1)
      | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) ),
    inference(resolution,[],[f3423,f3387]) ).

fof(f3423,plain,
    ! [X0,X1] :
      ( ~ l3_lattices(X1)
      | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
      | k1_lattice2(X0) = k1_lattice2(X1)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f2953]) ).

fof(f2953,plain,
    ! [X0] :
      ( ! [X1] :
          ( k1_lattice2(X0) = k1_lattice2(X1)
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | ~ l3_lattices(X1) )
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f2952]) ).

fof(f2952,plain,
    ! [X0] :
      ( ! [X1] :
          ( k1_lattice2(X0) = k1_lattice2(X1)
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | ~ l3_lattices(X1) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2922]) ).

fof(f2922,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ! [X1] :
          ( l3_lattices(X1)
         => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
           => k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).

fof(f4983,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | ~ spl83_3 ),
    inference(subsumption_resolution,[],[f4982,f3762]) ).

fof(f3762,plain,
    m1_subset_1(sK6,u1_struct_0(sK1)),
    inference(definition_unfolding,[],[f3392,f3396]) ).

fof(f3396,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f3198]) ).

fof(f3392,plain,
    m1_subset_1(sK4,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f3198]) ).

fof(f4982,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | ~ spl83_3 ),
    inference(forward_demodulation,[],[f4981,f4094]) ).

fof(f4981,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | ~ spl83_3 ),
    inference(forward_demodulation,[],[f4980,f3794]) ).

fof(f3794,plain,
    ( k1_lattices(sK2,sK5,sK6) = k1_lattices(sK1,sK5,sK6)
    | ~ spl83_1 ),
    inference(avatar_component_clause,[],[f3793]) ).

fof(f3793,plain,
    ( spl83_1
  <=> k1_lattices(sK2,sK5,sK6) = k1_lattices(sK1,sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl83_1])]) ).

fof(f4980,plain,
    ( sK6 = k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_3 ),
    inference(subsumption_resolution,[],[f4979,f3388]) ).

fof(f4979,plain,
    ( sK6 = k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | v3_struct_0(sK2)
    | ~ spl83_3 ),
    inference(subsumption_resolution,[],[f4978,f3869]) ).

fof(f3869,plain,
    l2_lattices(sK2),
    inference(resolution,[],[f3646,f3389]) ).

fof(f3646,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f3107]) ).

fof(f3107,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2410]) ).

fof(f2410,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f4978,plain,
    ( sK6 = k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ l2_lattices(sK2)
    | v3_struct_0(sK2)
    | ~ spl83_3 ),
    inference(resolution,[],[f3802,f3420]) ).

fof(f3420,plain,
    ! [X2,X0,X1] :
      ( ~ r1_lattices(X0,X1,X2)
      | k1_lattices(X0,X1,X2) = X2
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3212]) ).

fof(f3212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r1_lattices(X0,X1,X2)
                  | k1_lattices(X0,X1,X2) != X2 )
                & ( k1_lattices(X0,X1,X2) = X2
                  | ~ r1_lattices(X0,X1,X2) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f2949]) ).

fof(f2949,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_lattices(X0,X1,X2)
              <=> k1_lattices(X0,X1,X2) = X2 )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f2948]) ).

fof(f2948,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_lattices(X0,X1,X2)
              <=> k1_lattices(X0,X1,X2) = X2 )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2334]) ).

fof(f2334,axiom,
    ! [X0] :
      ( ( l2_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r1_lattices(X0,X1,X2)
              <=> k1_lattices(X0,X1,X2) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).

fof(f3802,plain,
    ( r1_lattices(sK2,sK5,sK6)
    | ~ spl83_3 ),
    inference(avatar_component_clause,[],[f3801]) ).

fof(f3801,plain,
    ( spl83_3
  <=> r1_lattices(sK2,sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl83_3])]) ).

fof(f4990,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | spl83_4 ),
    inference(subsumption_resolution,[],[f4989,f3386]) ).

fof(f4989,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | v3_struct_0(sK1)
    | spl83_4 ),
    inference(subsumption_resolution,[],[f4988,f3868]) ).

fof(f3868,plain,
    l2_lattices(sK1),
    inference(resolution,[],[f3646,f3387]) ).

fof(f4988,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | spl83_4 ),
    inference(subsumption_resolution,[],[f4987,f3763]) ).

fof(f4987,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | spl83_4 ),
    inference(subsumption_resolution,[],[f4986,f3762]) ).

fof(f4986,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | spl83_4 ),
    inference(resolution,[],[f3807,f3421]) ).

fof(f3421,plain,
    ! [X2,X0,X1] :
      ( r1_lattices(X0,X1,X2)
      | k1_lattices(X0,X1,X2) != X2
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f3212]) ).

fof(f3807,plain,
    ( ~ r1_lattices(sK1,sK5,sK6)
    | spl83_4 ),
    inference(avatar_component_clause,[],[f3805]) ).

fof(f3805,plain,
    ( spl83_4
  <=> r1_lattices(sK1,sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl83_4])]) ).

fof(f4977,plain,
    ( ~ spl83_1
    | spl83_3
    | ~ spl83_4 ),
    inference(avatar_contradiction_clause,[],[f4976]) ).

fof(f4976,plain,
    ( $false
    | ~ spl83_1
    | spl83_3
    | ~ spl83_4 ),
    inference(subsumption_resolution,[],[f4964,f4959]) ).

fof(f4959,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ spl83_1
    | spl83_3 ),
    inference(subsumption_resolution,[],[f4958,f3763]) ).

fof(f4958,plain,
    ( ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ spl83_1
    | spl83_3 ),
    inference(forward_demodulation,[],[f4957,f4094]) ).

fof(f4957,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | spl83_3 ),
    inference(subsumption_resolution,[],[f4956,f3762]) ).

fof(f4956,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | spl83_3 ),
    inference(forward_demodulation,[],[f4955,f4094]) ).

fof(f4955,plain,
    ( sK6 != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ spl83_1
    | spl83_3 ),
    inference(forward_demodulation,[],[f4954,f3794]) ).

fof(f4954,plain,
    ( sK6 != k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | spl83_3 ),
    inference(subsumption_resolution,[],[f4953,f3388]) ).

fof(f4953,plain,
    ( sK6 != k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | v3_struct_0(sK2)
    | spl83_3 ),
    inference(subsumption_resolution,[],[f4952,f3869]) ).

fof(f4952,plain,
    ( sK6 != k1_lattices(sK2,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK2))
    | ~ m1_subset_1(sK5,u1_struct_0(sK2))
    | ~ l2_lattices(sK2)
    | v3_struct_0(sK2)
    | spl83_3 ),
    inference(resolution,[],[f3803,f3421]) ).

fof(f3803,plain,
    ( ~ r1_lattices(sK2,sK5,sK6)
    | spl83_3 ),
    inference(avatar_component_clause,[],[f3801]) ).

fof(f4964,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ spl83_4 ),
    inference(subsumption_resolution,[],[f4963,f3386]) ).

fof(f4963,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | v3_struct_0(sK1)
    | ~ spl83_4 ),
    inference(subsumption_resolution,[],[f4962,f3868]) ).

fof(f4962,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl83_4 ),
    inference(subsumption_resolution,[],[f4961,f3763]) ).

fof(f4961,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl83_4 ),
    inference(subsumption_resolution,[],[f4960,f3762]) ).

fof(f4960,plain,
    ( sK6 = k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ l2_lattices(sK1)
    | v3_struct_0(sK1)
    | ~ spl83_4 ),
    inference(resolution,[],[f3806,f3420]) ).

fof(f3806,plain,
    ( r1_lattices(sK1,sK5,sK6)
    | ~ spl83_4 ),
    inference(avatar_component_clause,[],[f3805]) ).

fof(f4908,plain,
    spl83_2,
    inference(avatar_contradiction_clause,[],[f4907]) ).

fof(f4907,plain,
    ( $false
    | spl83_2 ),
    inference(subsumption_resolution,[],[f4906,f3762]) ).

fof(f4906,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_2 ),
    inference(subsumption_resolution,[],[f4904,f3763]) ).

fof(f4904,plain,
    ( ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_2 ),
    inference(trivial_inequality_removal,[],[f4889]) ).

fof(f4889,plain,
    ( k2_lattices(sK1,sK5,sK6) != k2_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_2 ),
    inference(superposition,[],[f3799,f4589]) ).

fof(f4589,plain,
    ! [X0,X1] :
      ( k2_lattices(sK2,X0,X1) = k2_lattices(sK1,X0,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1)) ),
    inference(duplicate_literal_removal,[],[f4588]) ).

fof(f4588,plain,
    ! [X0,X1] :
      ( k2_lattices(sK2,X0,X1) = k2_lattices(sK1,X0,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1)) ),
    inference(superposition,[],[f4381,f4386]) ).

fof(f4386,plain,
    ! [X0,X1] :
      ( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X1,X0) = k2_lattices(sK2,X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(forward_demodulation,[],[f4385,f4094]) ).

fof(f4385,plain,
    ! [X0,X1] :
      ( k2_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u1_lattices(sK1),X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(forward_demodulation,[],[f4384,f3955]) ).

fof(f3955,plain,
    u1_lattices(sK1) = u1_lattices(sK2),
    inference(subsumption_resolution,[],[f3954,f3386]) ).

fof(f3954,plain,
    ( u1_lattices(sK1) = u1_lattices(sK2)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f3947,f3387]) ).

fof(f3947,plain,
    ( u1_lattices(sK1) = u1_lattices(sK2)
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[],[f3938,f3465]) ).

fof(f3465,plain,
    ! [X0] :
      ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f2980]) ).

fof(f3938,plain,
    u1_lattices(sK2) = u2_lattices(k1_lattice2(sK1)),
    inference(subsumption_resolution,[],[f3937,f3388]) ).

fof(f3937,plain,
    ( u1_lattices(sK2) = u2_lattices(k1_lattice2(sK1))
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f3934,f3389]) ).

fof(f3934,plain,
    ( u1_lattices(sK2) = u2_lattices(k1_lattice2(sK1))
    | ~ l3_lattices(sK2)
    | v3_struct_0(sK2) ),
    inference(superposition,[],[f3465,f3923]) ).

fof(f4384,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | k2_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u1_lattices(sK2),X1,X0) ),
    inference(forward_demodulation,[],[f4383,f4094]) ).

fof(f4383,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | k2_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u1_lattices(sK2),X1,X0) ),
    inference(forward_demodulation,[],[f4382,f4094]) ).

fof(f4382,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | k2_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u1_lattices(sK2),X1,X0) ),
    inference(subsumption_resolution,[],[f4380,f3843]) ).

fof(f3843,plain,
    l1_lattices(sK2),
    inference(resolution,[],[f3645,f3389]) ).

fof(f3645,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f3107]) ).

fof(f4380,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ l1_lattices(sK2)
      | k2_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u1_lattices(sK2),X1,X0) ),
    inference(resolution,[],[f3486,f3388]) ).

fof(f3486,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ),
    inference(cnf_transformation,[],[f2994]) ).

fof(f2994,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f2993]) ).

fof(f2993,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2333]) ).

fof(f2333,axiom,
    ! [X0] :
      ( ( l1_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).

fof(f4381,plain,
    ! [X0,X1] :
      ( k2_lattices(sK1,X1,X0) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(subsumption_resolution,[],[f4379,f3842]) ).

fof(f3842,plain,
    l1_lattices(sK1),
    inference(resolution,[],[f3645,f3387]) ).

fof(f4379,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ l1_lattices(sK1)
      | k2_lattices(sK1,X1,X0) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X1,X0) ),
    inference(resolution,[],[f3486,f3386]) ).

fof(f3799,plain,
    ( k2_lattices(sK2,sK5,sK6) != k2_lattices(sK1,sK5,sK6)
    | spl83_2 ),
    inference(avatar_component_clause,[],[f3797]) ).

fof(f3797,plain,
    ( spl83_2
  <=> k2_lattices(sK2,sK5,sK6) = k2_lattices(sK1,sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl83_2])]) ).

fof(f4835,plain,
    spl83_1,
    inference(avatar_contradiction_clause,[],[f4834]) ).

fof(f4834,plain,
    ( $false
    | spl83_1 ),
    inference(subsumption_resolution,[],[f4833,f3762]) ).

fof(f4833,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_1 ),
    inference(subsumption_resolution,[],[f4831,f3763]) ).

fof(f4831,plain,
    ( ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_1 ),
    inference(trivial_inequality_removal,[],[f4816]) ).

fof(f4816,plain,
    ( k1_lattices(sK1,sK5,sK6) != k1_lattices(sK1,sK5,sK6)
    | ~ m1_subset_1(sK5,u1_struct_0(sK1))
    | ~ m1_subset_1(sK6,u1_struct_0(sK1))
    | spl83_1 ),
    inference(superposition,[],[f3795,f4585]) ).

fof(f4585,plain,
    ! [X0,X1] :
      ( k1_lattices(sK2,X0,X1) = k1_lattices(sK1,X0,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1)) ),
    inference(duplicate_literal_removal,[],[f4584]) ).

fof(f4584,plain,
    ! [X0,X1] :
      ( k1_lattices(sK2,X0,X1) = k1_lattices(sK1,X0,X1)
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1)) ),
    inference(superposition,[],[f4362,f4367]) ).

fof(f4367,plain,
    ! [X0,X1] :
      ( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X1,X0) = k1_lattices(sK2,X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(forward_demodulation,[],[f4366,f4094]) ).

fof(f4366,plain,
    ! [X0,X1] :
      ( k1_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u2_lattices(sK1),X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(forward_demodulation,[],[f4365,f4019]) ).

fof(f4019,plain,
    u2_lattices(sK1) = u2_lattices(sK2),
    inference(subsumption_resolution,[],[f4018,f3386]) ).

fof(f4018,plain,
    ( u2_lattices(sK1) = u2_lattices(sK2)
    | v3_struct_0(sK1) ),
    inference(subsumption_resolution,[],[f4011,f3387]) ).

fof(f4011,plain,
    ( u2_lattices(sK1) = u2_lattices(sK2)
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[],[f3940,f3464]) ).

fof(f3464,plain,
    ! [X0] :
      ( u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f2980]) ).

fof(f3940,plain,
    u2_lattices(sK2) = u1_lattices(k1_lattice2(sK1)),
    inference(subsumption_resolution,[],[f3939,f3388]) ).

fof(f3939,plain,
    ( u2_lattices(sK2) = u1_lattices(k1_lattice2(sK1))
    | v3_struct_0(sK2) ),
    inference(subsumption_resolution,[],[f3935,f3389]) ).

fof(f3935,plain,
    ( u2_lattices(sK2) = u1_lattices(k1_lattice2(sK1))
    | ~ l3_lattices(sK2)
    | v3_struct_0(sK2) ),
    inference(superposition,[],[f3464,f3923]) ).

fof(f4365,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1))
      | k1_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u2_lattices(sK2),X1,X0) ),
    inference(forward_demodulation,[],[f4364,f4094]) ).

fof(f4364,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | k1_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u2_lattices(sK2),X1,X0) ),
    inference(forward_demodulation,[],[f4363,f4094]) ).

fof(f4363,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | k1_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u2_lattices(sK2),X1,X0) ),
    inference(subsumption_resolution,[],[f4361,f3869]) ).

fof(f4361,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ l2_lattices(sK2)
      | k1_lattices(sK2,X1,X0) = k2_binop_1(u1_struct_0(sK2),u1_struct_0(sK2),u1_struct_0(sK2),u2_lattices(sK2),X1,X0) ),
    inference(resolution,[],[f3462,f3388]) ).

fof(f3462,plain,
    ! [X2,X0,X1] :
      ( v3_struct_0(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ),
    inference(cnf_transformation,[],[f2978]) ).

fof(f2978,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f2977]) ).

fof(f2977,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2332]) ).

fof(f2332,axiom,
    ! [X0] :
      ( ( l2_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).

fof(f4362,plain,
    ! [X0,X1] :
      ( k1_lattices(sK1,X1,X0) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X1,X0)
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(subsumption_resolution,[],[f4360,f3868]) ).

fof(f4360,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,u1_struct_0(sK1))
      | ~ m1_subset_1(X1,u1_struct_0(sK1))
      | ~ l2_lattices(sK1)
      | k1_lattices(sK1,X1,X0) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X1,X0) ),
    inference(resolution,[],[f3462,f3386]) ).

fof(f3795,plain,
    ( k1_lattices(sK2,sK5,sK6) != k1_lattices(sK1,sK5,sK6)
    | spl83_1 ),
    inference(avatar_component_clause,[],[f3793]) ).

fof(f3809,plain,
    ( ~ spl83_1
    | ~ spl83_2
    | spl83_4
    | spl83_3 ),
    inference(avatar_split_clause,[],[f3761,f3801,f3805,f3797,f3793]) ).

fof(f3761,plain,
    ( r1_lattices(sK2,sK5,sK6)
    | r1_lattices(sK1,sK5,sK6)
    | k2_lattices(sK2,sK5,sK6) != k2_lattices(sK1,sK5,sK6)
    | k1_lattices(sK2,sK5,sK6) != k1_lattices(sK1,sK5,sK6) ),
    inference(definition_unfolding,[],[f3397,f3395,f3396,f3395,f3396,f3395,f3396]) ).

fof(f3397,plain,
    ( r1_lattices(sK2,sK5,sK6)
    | r1_lattices(sK1,sK3,sK4)
    | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,sK6)
    | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,sK6) ),
    inference(cnf_transformation,[],[f3198]) ).

fof(f3808,plain,
    ( ~ spl83_1
    | ~ spl83_2
    | ~ spl83_3
    | ~ spl83_4 ),
    inference(avatar_split_clause,[],[f3758,f3805,f3801,f3797,f3793]) ).

fof(f3758,plain,
    ( ~ r1_lattices(sK1,sK5,sK6)
    | ~ r1_lattices(sK2,sK5,sK6)
    | k2_lattices(sK2,sK5,sK6) != k2_lattices(sK1,sK5,sK6)
    | k1_lattices(sK2,sK5,sK6) != k1_lattices(sK1,sK5,sK6) ),
    inference(definition_unfolding,[],[f3400,f3395,f3396,f3395,f3396,f3395,f3396]) ).

fof(f3400,plain,
    ( ~ r1_lattices(sK1,sK3,sK4)
    | ~ r1_lattices(sK2,sK5,sK6)
    | k2_lattices(sK1,sK3,sK4) != k2_lattices(sK2,sK5,sK6)
    | k1_lattices(sK1,sK3,sK4) != k1_lattices(sK2,sK5,sK6) ),
    inference(cnf_transformation,[],[f3198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LAT295+2 : TPTP v8.2.0. Released v3.4.0.
% 0.14/0.15  % 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
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 19:49:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.81  % (29875)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 (2995ds/34Mi)
% 0.60/0.82  % (29876)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 (2995ds/51Mi)
% 0.60/0.82  % (29877)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.82  % (29878)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.82  % (29879)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 (2995ds/34Mi)
% 0.60/0.82  % (29880)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.82  % (29882)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 (2995ds/56Mi)
% 0.60/0.82  % (29881)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 (2995ds/83Mi)
% 0.60/0.83  % (29875)Instruction limit reached!
% 0.60/0.83  % (29875)------------------------------
% 0.60/0.83  % (29875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (29875)Termination reason: Unknown
% 0.60/0.83  % (29875)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (29875)Memory used [KB]: 4918
% 0.60/0.83  % (29875)Time elapsed: 0.015 s
% 0.60/0.83  % (29875)Instructions burned: 34 (million)
% 0.60/0.83  % (29875)------------------------------
% 0.60/0.83  % (29875)------------------------------
% 0.60/0.83  % (29878)Refutation not found, incomplete strategy% (29878)------------------------------
% 0.60/0.83  % (29878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (29878)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (29878)Memory used [KB]: 4514
% 0.60/0.83  % (29878)Time elapsed: 0.015 s
% 0.60/0.83  % (29878)Instructions burned: 24 (million)
% 0.60/0.83  % (29879)Instruction limit reached!
% 0.60/0.83  % (29879)------------------------------
% 0.60/0.83  % (29879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (29878)------------------------------
% 0.60/0.83  % (29878)------------------------------
% 0.60/0.83  % (29879)Termination reason: Unknown
% 0.60/0.83  % (29879)Termination phase: Unused predicate definition removal
% 0.60/0.83  
% 0.60/0.83  % (29879)Memory used [KB]: 4599
% 0.60/0.83  % (29879)Time elapsed: 0.016 s
% 0.60/0.83  % (29879)Instructions burned: 34 (million)
% 0.60/0.83  % (29879)------------------------------
% 0.60/0.83  % (29879)------------------------------
% 0.70/0.83  % (29883)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.70/0.83  % (29884)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.70/0.83  % (29885)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.70/0.83  % (29876)Instruction limit reached!
% 0.70/0.83  % (29876)------------------------------
% 0.70/0.83  % (29876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.83  % (29876)Termination reason: Unknown
% 0.70/0.83  % (29876)Termination phase: Preprocessing 2
% 0.70/0.83  
% 0.70/0.83  % (29876)Memory used [KB]: 5449
% 0.70/0.83  % (29876)Time elapsed: 0.020 s
% 0.70/0.83  % (29876)Instructions burned: 52 (million)
% 0.70/0.83  % (29876)------------------------------
% 0.70/0.83  % (29876)------------------------------
% 0.70/0.84  % (29886)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.70/0.84  % (29882)Refutation not found, incomplete strategy% (29882)------------------------------
% 0.70/0.84  % (29882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.84  % (29882)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.84  
% 0.70/0.84  % (29882)Memory used [KB]: 4727
% 0.70/0.84  % (29882)Time elapsed: 0.024 s
% 0.70/0.84  % (29882)Instructions burned: 39 (million)
% 0.70/0.84  % (29882)------------------------------
% 0.70/0.84  % (29882)------------------------------
% 0.70/0.84  % (29880)Instruction limit reached!
% 0.70/0.84  % (29880)------------------------------
% 0.70/0.84  % (29880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.84  % (29880)Termination reason: Unknown
% 0.70/0.84  % (29880)Termination phase: Saturation
% 0.70/0.84  
% 0.70/0.84  % (29880)Memory used [KB]: 5116
% 0.70/0.84  % (29880)Time elapsed: 0.028 s
% 0.70/0.84  % (29880)Instructions burned: 45 (million)
% 0.70/0.84  % (29880)------------------------------
% 0.70/0.84  % (29880)------------------------------
% 0.70/0.84  % (29887)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.70/0.85  % (29888)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.70/0.85  % (29883)Instruction limit reached!
% 0.70/0.85  % (29883)------------------------------
% 0.70/0.85  % (29883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (29883)Termination reason: Unknown
% 0.70/0.85  % (29883)Termination phase: Saturation
% 0.70/0.85  
% 0.70/0.85  % (29883)Memory used [KB]: 5203
% 0.70/0.85  % (29883)Time elapsed: 0.022 s
% 0.70/0.85  % (29883)Instructions burned: 57 (million)
% 0.70/0.85  % (29883)------------------------------
% 0.70/0.85  % (29883)------------------------------
% 0.70/0.85  % (29886)Instruction limit reached!
% 0.70/0.85  % (29886)------------------------------
% 0.70/0.85  % (29886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (29886)Termination reason: Unknown
% 0.70/0.85  % (29886)Termination phase: Preprocessing 3
% 0.70/0.85  
% 0.70/0.85  % (29886)Memory used [KB]: 5789
% 0.70/0.85  % (29886)Time elapsed: 0.019 s
% 0.70/0.85  % (29886)Instructions burned: 52 (million)
% 0.70/0.85  % (29886)------------------------------
% 0.70/0.85  % (29886)------------------------------
% 0.70/0.86  % (29877)Instruction limit reached!
% 0.70/0.86  % (29877)------------------------------
% 0.70/0.86  % (29877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (29877)Termination reason: Unknown
% 0.70/0.86  % (29877)Termination phase: Saturation
% 0.70/0.86  
% 0.70/0.86  % (29877)Memory used [KB]: 5281
% 0.70/0.86  % (29877)Time elapsed: 0.042 s
% 0.70/0.86  % (29877)Instructions burned: 79 (million)
% 0.70/0.86  % (29877)------------------------------
% 0.70/0.86  % (29877)------------------------------
% 0.70/0.86  % (29889)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.70/0.86  % (29890)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.70/0.86  % (29884)Instruction limit reached!
% 0.70/0.86  % (29884)------------------------------
% 0.70/0.86  % (29884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (29884)Termination reason: Unknown
% 0.70/0.86  % (29884)Termination phase: Preprocessing 2
% 0.70/0.86  
% 0.70/0.86  % (29884)Memory used [KB]: 5040
% 0.70/0.86  % (29884)Time elapsed: 0.027 s
% 0.70/0.86  % (29884)Instructions burned: 50 (million)
% 0.70/0.86  % (29884)------------------------------
% 0.70/0.86  % (29884)------------------------------
% 0.70/0.86  % (29891)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.70/0.87  % (29892)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.89/0.87  % (29888)Instruction limit reached!
% 0.89/0.87  % (29888)------------------------------
% 0.89/0.87  % (29888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.87  % (29888)Termination reason: Unknown
% 0.89/0.87  % (29888)Termination phase: Preprocessing 3
% 0.89/0.87  
% 0.89/0.87  % (29888)Memory used [KB]: 6306
% 0.89/0.87  % (29888)Time elapsed: 0.026 s
% 0.89/0.87  % (29888)Instructions burned: 42 (million)
% 0.89/0.87  % (29888)------------------------------
% 0.89/0.87  % (29888)------------------------------
% 0.89/0.87  % (29881)Instruction limit reached!
% 0.89/0.87  % (29881)------------------------------
% 0.89/0.87  % (29881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.87  % (29881)Termination reason: Unknown
% 0.89/0.87  % (29881)Termination phase: Property scanning
% 0.89/0.87  
% 0.89/0.87  % (29881)Memory used [KB]: 6123
% 0.89/0.87  % (29881)Time elapsed: 0.059 s
% 0.89/0.87  % (29881)Instructions burned: 84 (million)
% 0.89/0.87  % (29881)------------------------------
% 0.89/0.87  % (29881)------------------------------
% 0.89/0.88  % (29893)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.89/0.89  % (29890)Instruction limit reached!
% 0.89/0.89  % (29890)------------------------------
% 0.89/0.89  % (29890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.89  % (29890)Termination reason: Unknown
% 0.89/0.89  % (29890)Termination phase: Saturation
% 0.89/0.89  
% 0.89/0.89  % (29890)Memory used [KB]: 5537
% 0.89/0.89  % (29890)Time elapsed: 0.038 s
% 0.89/0.89  % (29890)Instructions burned: 118 (million)
% 0.89/0.89  % (29890)------------------------------
% 0.89/0.89  % (29890)------------------------------
% 0.89/0.90  % (29892)Instruction limit reached!
% 0.89/0.90  % (29892)------------------------------
% 0.89/0.90  % (29892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.90  % (29892)Termination reason: Unknown
% 0.89/0.90  % (29892)Termination phase: NewCNF
% 0.89/0.90  
% 0.89/0.90  % (29892)Memory used [KB]: 8738
% 0.89/0.90  % (29892)Time elapsed: 0.035 s
% 0.89/0.90  % (29892)Instructions burned: 93 (million)
% 0.89/0.90  % (29892)------------------------------
% 0.89/0.90  % (29892)------------------------------
% 0.89/0.90  % (29894)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.89/0.90  % (29893)Instruction limit reached!
% 0.89/0.90  % (29893)------------------------------
% 0.89/0.90  % (29893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.90  % (29893)Termination reason: Unknown
% 0.89/0.90  % (29893)Termination phase: NewCNF
% 0.89/0.90  
% 0.89/0.90  % (29893)Memory used [KB]: 7480
% 0.89/0.90  % (29893)Time elapsed: 0.024 s
% 0.89/0.90  % (29893)Instructions burned: 64 (million)
% 0.89/0.90  % (29893)------------------------------
% 0.89/0.90  % (29893)------------------------------
% 0.89/0.91  % (29895)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.89/0.91  % (29896)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.89/0.91  % (29894)Instruction limit reached!
% 0.89/0.91  % (29894)------------------------------
% 0.89/0.91  % (29894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.91  % (29894)Termination reason: Unknown
% 0.89/0.91  % (29894)Termination phase: SInE selection
% 0.89/0.91  
% 0.89/0.91  % (29894)Memory used [KB]: 4465
% 0.89/0.91  % (29894)Time elapsed: 0.015 s
% 0.89/0.91  % (29894)Instructions burned: 32 (million)
% 0.89/0.91  % (29894)------------------------------
% 0.89/0.91  % (29894)------------------------------
% 0.89/0.92  % (29899)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.89/0.92  % (29901)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.89/0.93  % (29885)Instruction limit reached!
% 0.89/0.93  % (29885)------------------------------
% 0.89/0.93  % (29885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.93  % (29885)Termination reason: Unknown
% 0.89/0.93  % (29885)Termination phase: Saturation
% 0.89/0.93  
% 0.89/0.93  % (29885)Memory used [KB]: 5945
% 0.89/0.93  % (29885)Time elapsed: 0.094 s
% 0.89/0.93  % (29885)Instructions burned: 210 (million)
% 0.89/0.93  % (29885)------------------------------
% 0.89/0.93  % (29885)------------------------------
% 0.89/0.93  % (29891)Instruction limit reached!
% 0.89/0.93  % (29891)------------------------------
% 0.89/0.93  % (29891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.93  % (29891)Termination reason: Unknown
% 0.89/0.93  % (29891)Termination phase: Property scanning
% 0.89/0.93  
% 0.89/0.93  % (29891)Memory used [KB]: 9166
% 0.89/0.93  % (29891)Time elapsed: 0.069 s
% 0.89/0.93  % (29891)Instructions burned: 143 (million)
% 0.89/0.93  % (29891)------------------------------
% 0.89/0.93  % (29891)------------------------------
% 0.89/0.93  % (29902)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.89/0.93  % (29903)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 1.28/0.94  % (29896)Instruction limit reached!
% 1.28/0.94  % (29896)------------------------------
% 1.28/0.94  % (29896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.94  % (29896)Termination reason: Unknown
% 1.28/0.94  % (29896)Termination phase: NewCNF
% 1.28/0.94  
% 1.28/0.94  % (29896)Memory used [KB]: 5600
% 1.28/0.94  % (29896)Time elapsed: 0.038 s
% 1.28/0.94  % (29896)Instructions burned: 56 (million)
% 1.28/0.94  % (29896)------------------------------
% 1.28/0.94  % (29896)------------------------------
% 1.28/0.95  % (29901)Instruction limit reached!
% 1.28/0.95  % (29901)------------------------------
% 1.28/0.95  % (29901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.95  % (29901)Termination reason: Unknown
% 1.28/0.95  % (29901)Termination phase: Naming
% 1.28/0.95  
% 1.28/0.95  % (29901)Memory used [KB]: 6469
% 1.28/0.95  % (29901)Time elapsed: 0.029 s
% 1.28/0.95  % (29901)Instructions burned: 46 (million)
% 1.28/0.95  % (29901)------------------------------
% 1.28/0.95  % (29901)------------------------------
% 1.28/0.95  % (29899)Instruction limit reached!
% 1.28/0.95  % (29899)------------------------------
% 1.28/0.95  % (29899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.95  % (29899)Termination reason: Unknown
% 1.28/0.95  % (29899)Termination phase: Saturation
% 1.28/0.95  
% 1.28/0.95  % (29899)Memory used [KB]: 4911
% 1.28/0.95  % (29899)Time elapsed: 0.031 s
% 1.28/0.95  % (29899)Instructions burned: 53 (million)
% 1.28/0.95  % (29899)------------------------------
% 1.28/0.95  % (29899)------------------------------
% 1.28/0.95  % (29904)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 1.28/0.95  % (29906)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 1.28/0.95  % (29905)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 1.28/0.95  % (29903)Instruction limit reached!
% 1.28/0.95  % (29903)------------------------------
% 1.28/0.95  % (29903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.28/0.95  % (29903)Termination reason: Unknown
% 1.28/0.95  % (29903)Termination phase: SInE selection
% 1.28/0.95  
% 1.28/0.95  % (29903)Memory used [KB]: 4365
% 1.28/0.95  % (29903)Time elapsed: 0.021 s
% 1.28/0.95  % (29903)Instructions burned: 35 (million)
% 1.28/0.95  % (29903)------------------------------
% 1.28/0.95  % (29903)------------------------------
% 1.28/0.95  % (29907)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.40/0.97  % (29895)First to succeed.
% 1.40/0.97  % (29895)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29842"
% 1.40/0.98  % (29895)Refutation found. Thanks to Tanya!
% 1.40/0.98  % SZS status Theorem for theBenchmark
% 1.40/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.98  % (29895)------------------------------
% 1.40/0.98  % (29895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.40/0.98  % (29895)Termination reason: Refutation
% 1.40/0.98  
% 1.40/0.98  % (29895)Memory used [KB]: 5126
% 1.40/0.98  % (29895)Time elapsed: 0.090 s
% 1.40/0.98  % (29895)Instructions burned: 118 (million)
% 1.40/0.98  % (29842)Success in time 0.598 s
% 1.40/0.98  % Vampire---4.8 exiting
%------------------------------------------------------------------------------