TSTP Solution File: LAT295+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LAT295+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_sat --cores 0 -t %d %s

% Computer : n019.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 17:36:44 EDT 2022

% Result   : Theorem 2.99s 0.79s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  227 (  40 unt;   0 def)
%            Number of atoms       :  916 ( 209 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives : 1104 ( 415   ~; 424   |; 187   &)
%                                         (  36 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   44 (  42 usr;  33 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-6 aty)
%            Number of variables   :  215 ( 167   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3512,plain,
    $false,
    inference(avatar_sat_refutation,[],[f340,f361,f364,f591,f593,f595,f630,f638,f646,f648,f652,f788,f796,f989,f990,f1011,f1022,f1023,f1025,f2586,f2629,f2652,f2705,f3323,f3372,f3389,f3391,f3400,f3404,f3452,f3487,f3497,f3500,f3502,f3507]) ).

fof(f3507,plain,
    ( spl26_4
    | ~ spl26_7 ),
    inference(avatar_contradiction_clause,[],[f3506]) ).

fof(f3506,plain,
    ( $false
    | spl26_4
    | ~ spl26_7 ),
    inference(trivial_inequality_removal,[],[f3505]) ).

fof(f3505,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK11,sK13,sK14)
    | spl26_4
    | ~ spl26_7 ),
    inference(forward_demodulation,[],[f3504,f359]) ).

fof(f359,plain,
    ( k1_lattices(sK11,sK13,sK14) = k1_lattices(sK12,sK13,sK14)
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl26_7
  <=> k1_lattices(sK11,sK13,sK14) = k1_lattices(sK12,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f3504,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14)
    | spl26_4 ),
    inference(forward_demodulation,[],[f3503,f271]) ).

fof(f271,plain,
    sK13 = sK15,
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( l3_lattices(sK12)
    & m1_subset_1(sK14,u1_struct_0(sK11))
    & sK13 = sK15
    & ( ( r1_lattices(sK12,sK15,sK16)
        & ~ r1_lattices(sK11,sK13,sK14) )
      | k1_lattices(sK12,sK15,sK16) != k1_lattices(sK11,sK13,sK14)
      | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
      | ( r1_lattices(sK11,sK13,sK14)
        & ~ r1_lattices(sK12,sK15,sK16) ) )
    & m1_subset_1(sK16,u1_struct_0(sK12))
    & sK16 = sK14
    & m1_subset_1(sK15,u1_struct_0(sK12))
    & m1_subset_1(sK13,u1_struct_0(sK11))
    & g3_lattices(u1_struct_0(sK12),u2_lattices(sK12),u1_lattices(sK12)) = g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
    & ~ v3_struct_0(sK12)
    & l3_lattices(sK11)
    & ~ v3_struct_0(sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f123,f189,f188,f187,f186,f185,f184]) ).

fof(f184,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( l3_lattices(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                    & ? [X4] :
                        ( ? [X5] :
                            ( X2 = X4
                            & ( ( r1_lattices(X1,X4,X5)
                                & ~ r1_lattices(X0,X2,X3) )
                              | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
                              | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                              | ( r1_lattices(X0,X2,X3)
                                & ~ r1_lattices(X1,X4,X5) ) )
                            & m1_subset_1(X5,u1_struct_0(X1))
                            & X3 = X5 )
                        & m1_subset_1(X4,u1_struct_0(X1)) ) )
                & 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))
            & ~ v3_struct_0(X1) )
        & l3_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( l3_lattices(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( m1_subset_1(X3,u1_struct_0(sK11))
                  & ? [X4] :
                      ( ? [X5] :
                          ( X2 = X4
                          & ( ( r1_lattices(X1,X4,X5)
                              & ~ r1_lattices(sK11,X2,X3) )
                            | k1_lattices(X1,X4,X5) != k1_lattices(sK11,X2,X3)
                            | k2_lattices(X1,X4,X5) != k2_lattices(sK11,X2,X3)
                            | ( r1_lattices(sK11,X2,X3)
                              & ~ r1_lattices(X1,X4,X5) ) )
                          & m1_subset_1(X5,u1_struct_0(X1))
                          & X3 = X5 )
                      & m1_subset_1(X4,u1_struct_0(X1)) ) )
              & m1_subset_1(X2,u1_struct_0(sK11)) )
          & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
          & ~ v3_struct_0(X1) )
      & l3_lattices(sK11)
      & ~ v3_struct_0(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ( ? [X1] :
        ( l3_lattices(X1)
        & ? [X2] :
            ( ? [X3] :
                ( m1_subset_1(X3,u1_struct_0(sK11))
                & ? [X4] :
                    ( ? [X5] :
                        ( X2 = X4
                        & ( ( r1_lattices(X1,X4,X5)
                            & ~ r1_lattices(sK11,X2,X3) )
                          | k1_lattices(X1,X4,X5) != k1_lattices(sK11,X2,X3)
                          | k2_lattices(X1,X4,X5) != k2_lattices(sK11,X2,X3)
                          | ( r1_lattices(sK11,X2,X3)
                            & ~ r1_lattices(X1,X4,X5) ) )
                        & m1_subset_1(X5,u1_struct_0(X1))
                        & X3 = X5 )
                    & m1_subset_1(X4,u1_struct_0(X1)) ) )
            & m1_subset_1(X2,u1_struct_0(sK11)) )
        & g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
        & ~ v3_struct_0(X1) )
   => ( l3_lattices(sK12)
      & ? [X2] :
          ( ? [X3] :
              ( m1_subset_1(X3,u1_struct_0(sK11))
              & ? [X4] :
                  ( ? [X5] :
                      ( X2 = X4
                      & ( ( r1_lattices(sK12,X4,X5)
                          & ~ r1_lattices(sK11,X2,X3) )
                        | k1_lattices(sK11,X2,X3) != k1_lattices(sK12,X4,X5)
                        | k2_lattices(sK12,X4,X5) != k2_lattices(sK11,X2,X3)
                        | ( r1_lattices(sK11,X2,X3)
                          & ~ r1_lattices(sK12,X4,X5) ) )
                      & m1_subset_1(X5,u1_struct_0(sK12))
                      & X3 = X5 )
                  & m1_subset_1(X4,u1_struct_0(sK12)) ) )
          & m1_subset_1(X2,u1_struct_0(sK11)) )
      & g3_lattices(u1_struct_0(sK12),u2_lattices(sK12),u1_lattices(sK12)) = g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
      & ~ v3_struct_0(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f186,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( m1_subset_1(X3,u1_struct_0(sK11))
            & ? [X4] :
                ( ? [X5] :
                    ( X2 = X4
                    & ( ( r1_lattices(sK12,X4,X5)
                        & ~ r1_lattices(sK11,X2,X3) )
                      | k1_lattices(sK11,X2,X3) != k1_lattices(sK12,X4,X5)
                      | k2_lattices(sK12,X4,X5) != k2_lattices(sK11,X2,X3)
                      | ( r1_lattices(sK11,X2,X3)
                        & ~ r1_lattices(sK12,X4,X5) ) )
                    & m1_subset_1(X5,u1_struct_0(sK12))
                    & X3 = X5 )
                & m1_subset_1(X4,u1_struct_0(sK12)) ) )
        & m1_subset_1(X2,u1_struct_0(sK11)) )
   => ( ? [X3] :
          ( m1_subset_1(X3,u1_struct_0(sK11))
          & ? [X4] :
              ( ? [X5] :
                  ( sK13 = X4
                  & ( ( r1_lattices(sK12,X4,X5)
                      & ~ r1_lattices(sK11,sK13,X3) )
                    | k1_lattices(sK11,sK13,X3) != k1_lattices(sK12,X4,X5)
                    | k2_lattices(sK11,sK13,X3) != k2_lattices(sK12,X4,X5)
                    | ( r1_lattices(sK11,sK13,X3)
                      & ~ r1_lattices(sK12,X4,X5) ) )
                  & m1_subset_1(X5,u1_struct_0(sK12))
                  & X3 = X5 )
              & m1_subset_1(X4,u1_struct_0(sK12)) ) )
      & m1_subset_1(sK13,u1_struct_0(sK11)) ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ( ? [X3] :
        ( m1_subset_1(X3,u1_struct_0(sK11))
        & ? [X4] :
            ( ? [X5] :
                ( sK13 = X4
                & ( ( r1_lattices(sK12,X4,X5)
                    & ~ r1_lattices(sK11,sK13,X3) )
                  | k1_lattices(sK11,sK13,X3) != k1_lattices(sK12,X4,X5)
                  | k2_lattices(sK11,sK13,X3) != k2_lattices(sK12,X4,X5)
                  | ( r1_lattices(sK11,sK13,X3)
                    & ~ r1_lattices(sK12,X4,X5) ) )
                & m1_subset_1(X5,u1_struct_0(sK12))
                & X3 = X5 )
            & m1_subset_1(X4,u1_struct_0(sK12)) ) )
   => ( m1_subset_1(sK14,u1_struct_0(sK11))
      & ? [X4] :
          ( ? [X5] :
              ( sK13 = X4
              & ( ( r1_lattices(sK12,X4,X5)
                  & ~ r1_lattices(sK11,sK13,sK14) )
                | k1_lattices(sK12,X4,X5) != k1_lattices(sK11,sK13,sK14)
                | k2_lattices(sK12,X4,X5) != k2_lattices(sK11,sK13,sK14)
                | ( r1_lattices(sK11,sK13,sK14)
                  & ~ r1_lattices(sK12,X4,X5) ) )
              & m1_subset_1(X5,u1_struct_0(sK12))
              & sK14 = X5 )
          & m1_subset_1(X4,u1_struct_0(sK12)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f188,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( sK13 = X4
            & ( ( r1_lattices(sK12,X4,X5)
                & ~ r1_lattices(sK11,sK13,sK14) )
              | k1_lattices(sK12,X4,X5) != k1_lattices(sK11,sK13,sK14)
              | k2_lattices(sK12,X4,X5) != k2_lattices(sK11,sK13,sK14)
              | ( r1_lattices(sK11,sK13,sK14)
                & ~ r1_lattices(sK12,X4,X5) ) )
            & m1_subset_1(X5,u1_struct_0(sK12))
            & sK14 = X5 )
        & m1_subset_1(X4,u1_struct_0(sK12)) )
   => ( ? [X5] :
          ( sK13 = sK15
          & ( ( r1_lattices(sK12,sK15,X5)
              & ~ r1_lattices(sK11,sK13,sK14) )
            | k1_lattices(sK12,sK15,X5) != k1_lattices(sK11,sK13,sK14)
            | k2_lattices(sK12,sK15,X5) != k2_lattices(sK11,sK13,sK14)
            | ( r1_lattices(sK11,sK13,sK14)
              & ~ r1_lattices(sK12,sK15,X5) ) )
          & m1_subset_1(X5,u1_struct_0(sK12))
          & sK14 = X5 )
      & m1_subset_1(sK15,u1_struct_0(sK12)) ) ),
    introduced(choice_axiom,[]) ).

fof(f189,plain,
    ( ? [X5] :
        ( sK13 = sK15
        & ( ( r1_lattices(sK12,sK15,X5)
            & ~ r1_lattices(sK11,sK13,sK14) )
          | k1_lattices(sK12,sK15,X5) != k1_lattices(sK11,sK13,sK14)
          | k2_lattices(sK12,sK15,X5) != k2_lattices(sK11,sK13,sK14)
          | ( r1_lattices(sK11,sK13,sK14)
            & ~ r1_lattices(sK12,sK15,X5) ) )
        & m1_subset_1(X5,u1_struct_0(sK12))
        & sK14 = X5 )
   => ( sK13 = sK15
      & ( ( r1_lattices(sK12,sK15,sK16)
          & ~ r1_lattices(sK11,sK13,sK14) )
        | k1_lattices(sK12,sK15,sK16) != k1_lattices(sK11,sK13,sK14)
        | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
        | ( r1_lattices(sK11,sK13,sK14)
          & ~ r1_lattices(sK12,sK15,sK16) ) )
      & m1_subset_1(sK16,u1_struct_0(sK12))
      & sK16 = sK14 ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ? [X0] :
      ( ? [X1] :
          ( l3_lattices(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X0))
                  & ? [X4] :
                      ( ? [X5] :
                          ( X2 = X4
                          & ( ( r1_lattices(X1,X4,X5)
                              & ~ r1_lattices(X0,X2,X3) )
                            | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
                            | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                            | ( r1_lattices(X0,X2,X3)
                              & ~ r1_lattices(X1,X4,X5) ) )
                          & m1_subset_1(X5,u1_struct_0(X1))
                          & X3 = X5 )
                      & m1_subset_1(X4,u1_struct_0(X1)) ) )
              & 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))
          & ~ v3_struct_0(X1) )
      & l3_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ( ( r1_lattices(X1,X4,X5)
                              & ~ r1_lattices(X0,X2,X3) )
                            | k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
                            | k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
                            | ( r1_lattices(X0,X2,X3)
                              & ~ r1_lattices(X1,X4,X5) ) )
                          & X2 = X4
                          & X3 = X5
                          & 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))
          & ~ v3_struct_0(X1)
          & l3_lattices(X1) )
      & l3_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( ~ v3_struct_0(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))
             => ! [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))
                             => ( ( X2 = X4
                                  & X3 = X5 )
                               => ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
                                  & k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
                                  & ( r1_lattices(X1,X4,X5)
                                   => r1_lattices(X0,X2,X3) )
                                  & ( r1_lattices(X0,X2,X3)
                                   => r1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(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))
           => ! [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))
                           => ( ( X2 = X4
                                & X3 = X5 )
                             => ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
                                & k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
                                & ( r1_lattices(X1,X4,X5)
                                 => r1_lattices(X0,X2,X3) )
                                & ( r1_lattices(X0,X2,X3)
                                 => r1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_filter_2) ).

fof(f3503,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK15,sK14)
    | spl26_4 ),
    inference(forward_demodulation,[],[f339,f265]) ).

fof(f265,plain,
    sK16 = sK14,
    inference(cnf_transformation,[],[f190]) ).

fof(f339,plain,
    ( k1_lattices(sK12,sK15,sK16) != k1_lattices(sK11,sK13,sK14)
    | spl26_4 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl26_4
  <=> k1_lattices(sK12,sK15,sK16) = k1_lattices(sK11,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).

fof(f3502,plain,
    ( spl26_18
    | ~ spl26_20
    | ~ spl26_313
    | spl26_314
    | ~ spl26_312
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f3501,f329,f3378,f3386,f3382,f537,f530]) ).

fof(f530,plain,
    ( spl26_18
  <=> v3_struct_0(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).

fof(f537,plain,
    ( spl26_20
  <=> l2_lattices(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).

fof(f3382,plain,
    ( spl26_313
  <=> m1_subset_1(sK13,u1_struct_0(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_313])]) ).

fof(f3386,plain,
    ( spl26_314
  <=> k1_lattices(sK11,sK13,sK14) = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_314])]) ).

fof(f3378,plain,
    ( spl26_312
  <=> m1_subset_1(sK14,u1_struct_0(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_312])]) ).

fof(f329,plain,
    ( spl26_2
  <=> r1_lattices(sK11,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).

fof(f3501,plain,
    ( ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | k1_lattices(sK11,sK13,sK14) = sK14
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ l2_lattices(sK11)
    | v3_struct_0(sK11)
    | ~ spl26_2 ),
    inference(resolution,[],[f330,f242]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( ~ r1_lattices(X0,X1,X2)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | k1_lattices(X0,X1,X2) = X2
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [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 )
                & ( k1_lattices(X0,X1,X2) = X2
                  | ~ r1_lattices(X0,X1,X2) ) ) ) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [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 ) ) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [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 ) ) )
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l2_lattices(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/sandbox/benchmark/theBenchmark.p',d3_lattices) ).

fof(f330,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | ~ spl26_2 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f3500,plain,
    ( ~ spl26_6
    | spl26_3 ),
    inference(avatar_split_clause,[],[f3499,f333,f354]) ).

fof(f354,plain,
    ( spl26_6
  <=> r1_lattices(sK12,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).

fof(f333,plain,
    ( spl26_3
  <=> r1_lattices(sK12,sK15,sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).

fof(f3499,plain,
    ( ~ r1_lattices(sK12,sK13,sK14)
    | spl26_3 ),
    inference(forward_demodulation,[],[f3498,f271]) ).

fof(f3498,plain,
    ( ~ r1_lattices(sK12,sK15,sK14)
    | spl26_3 ),
    inference(forward_demodulation,[],[f335,f265]) ).

fof(f335,plain,
    ( ~ r1_lattices(sK12,sK15,sK16)
    | spl26_3 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f3497,plain,
    ( ~ spl26_312
    | ~ spl26_313
    | spl26_2
    | spl26_18
    | ~ spl26_20
    | ~ spl26_314 ),
    inference(avatar_split_clause,[],[f3496,f3386,f537,f530,f329,f3382,f3378]) ).

fof(f3496,plain,
    ( ~ l2_lattices(sK11)
    | v3_struct_0(sK11)
    | r1_lattices(sK11,sK13,sK14)
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | ~ spl26_314 ),
    inference(trivial_inequality_removal,[],[f3495]) ).

fof(f3495,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | ~ l2_lattices(sK11)
    | ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | sK14 != sK14
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | v3_struct_0(sK11)
    | ~ spl26_314 ),
    inference(superposition,[],[f243,f3387]) ).

fof(f3387,plain,
    ( k1_lattices(sK11,sK13,sK14) = sK14
    | ~ spl26_314 ),
    inference(avatar_component_clause,[],[f3386]) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( k1_lattices(X0,X1,X2) != X2
      | r1_lattices(X0,X1,X2)
      | ~ l2_lattices(X0)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f3487,plain,
    ( ~ spl26_313
    | spl26_314
    | ~ spl26_312
    | ~ spl26_21
    | spl26_23
    | ~ spl26_6
    | ~ spl26_7
    | ~ spl26_183 ),
    inference(avatar_split_clause,[],[f3486,f1915,f358,f354,f549,f542,f3378,f3386,f3382]) ).

fof(f542,plain,
    ( spl26_21
  <=> l2_lattices(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).

fof(f549,plain,
    ( spl26_23
  <=> v3_struct_0(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).

fof(f1915,plain,
    ( spl26_183
  <=> u1_struct_0(sK11) = u1_struct_0(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_183])]) ).

fof(f3486,plain,
    ( v3_struct_0(sK12)
    | ~ l2_lattices(sK12)
    | ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | k1_lattices(sK11,sK13,sK14) = sK14
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ spl26_6
    | ~ spl26_7
    | ~ spl26_183 ),
    inference(forward_demodulation,[],[f3485,f359]) ).

fof(f3485,plain,
    ( ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | v3_struct_0(sK12)
    | ~ l2_lattices(sK12)
    | k1_lattices(sK12,sK13,sK14) = sK14
    | ~ spl26_6
    | ~ spl26_183 ),
    inference(forward_demodulation,[],[f3484,f1917]) ).

fof(f1917,plain,
    ( u1_struct_0(sK11) = u1_struct_0(sK12)
    | ~ spl26_183 ),
    inference(avatar_component_clause,[],[f1915]) ).

fof(f3484,plain,
    ( ~ l2_lattices(sK12)
    | ~ m1_subset_1(sK14,u1_struct_0(sK12))
    | k1_lattices(sK12,sK13,sK14) = sK14
    | v3_struct_0(sK12)
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ spl26_6
    | ~ spl26_183 ),
    inference(forward_demodulation,[],[f3483,f1917]) ).

fof(f3483,plain,
    ( ~ m1_subset_1(sK13,u1_struct_0(sK12))
    | ~ l2_lattices(sK12)
    | ~ m1_subset_1(sK14,u1_struct_0(sK12))
    | k1_lattices(sK12,sK13,sK14) = sK14
    | v3_struct_0(sK12)
    | ~ spl26_6 ),
    inference(resolution,[],[f356,f242]) ).

fof(f356,plain,
    ( r1_lattices(sK12,sK13,sK14)
    | ~ spl26_6 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f3452,plain,
    ( spl26_5
    | ~ spl26_40
    | ~ spl26_65
    | ~ spl26_183
    | ~ spl26_257 ),
    inference(avatar_split_clause,[],[f3451,f2640,f1915,f794,f650,f350]) ).

fof(f350,plain,
    ( spl26_5
  <=> k2_lattices(sK12,sK13,sK14) = k2_lattices(sK11,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).

fof(f650,plain,
    ( spl26_40
  <=> ! [X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK11))
        | k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK11),X1,sK14) = k2_lattices(sK11,X1,sK14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_40])]) ).

fof(f794,plain,
    ( spl26_65
  <=> ! [X3] :
        ( k2_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u1_lattices(sK12),X3,sK14)
        | ~ m1_subset_1(X3,u1_struct_0(sK12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_65])]) ).

fof(f2640,plain,
    ( spl26_257
  <=> u1_lattices(sK11) = u1_lattices(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_257])]) ).

fof(f3451,plain,
    ( k2_lattices(sK12,sK13,sK14) = k2_lattices(sK11,sK13,sK14)
    | ~ spl26_40
    | ~ spl26_65
    | ~ spl26_183
    | ~ spl26_257 ),
    inference(forward_demodulation,[],[f3418,f2261]) ).

fof(f2261,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK11),sK13,sK14) = k2_lattices(sK11,sK13,sK14)
    | ~ spl26_40 ),
    inference(resolution,[],[f651,f263]) ).

fof(f263,plain,
    m1_subset_1(sK13,u1_struct_0(sK11)),
    inference(cnf_transformation,[],[f190]) ).

fof(f651,plain,
    ( ! [X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK11))
        | k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK11),X1,sK14) = k2_lattices(sK11,X1,sK14) )
    | ~ spl26_40 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f3418,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK11),sK13,sK14) = k2_lattices(sK12,sK13,sK14)
    | ~ spl26_65
    | ~ spl26_183
    | ~ spl26_257 ),
    inference(backward_demodulation,[],[f2806,f2642]) ).

fof(f2642,plain,
    ( u1_lattices(sK11) = u1_lattices(sK12)
    | ~ spl26_257 ),
    inference(avatar_component_clause,[],[f2640]) ).

fof(f2806,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK12),sK13,sK14) = k2_lattices(sK12,sK13,sK14)
    | ~ spl26_65
    | ~ spl26_183 ),
    inference(backward_demodulation,[],[f2322,f1917]) ).

fof(f2322,plain,
    ( k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u1_lattices(sK12),sK13,sK14) = k2_lattices(sK12,sK13,sK14)
    | ~ spl26_65 ),
    inference(resolution,[],[f795,f341]) ).

fof(f341,plain,
    m1_subset_1(sK13,u1_struct_0(sK12)),
    inference(forward_demodulation,[],[f264,f271]) ).

fof(f264,plain,
    m1_subset_1(sK15,u1_struct_0(sK12)),
    inference(cnf_transformation,[],[f190]) ).

fof(f795,plain,
    ( ! [X3] :
        ( ~ m1_subset_1(X3,u1_struct_0(sK12))
        | k2_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u1_lattices(sK12),X3,sK14) )
    | ~ spl26_65 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f3404,plain,
    ( spl26_257
    | ~ spl26_76 ),
    inference(avatar_split_clause,[],[f3403,f1017,f2640]) ).

fof(f1017,plain,
    ( spl26_76
  <=> ! [X9,X11,X10] :
        ( g3_lattices(X9,X10,X11) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
        | u1_lattices(sK12) = X11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_76])]) ).

fof(f3403,plain,
    ( u1_lattices(sK11) = u1_lattices(sK12)
    | ~ spl26_76 ),
    inference(equality_resolution,[],[f1018]) ).

fof(f1018,plain,
    ( ! [X10,X11,X9] :
        ( g3_lattices(X9,X10,X11) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
        | u1_lattices(sK12) = X11 )
    | ~ spl26_76 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f3400,plain,
    spl26_313,
    inference(avatar_contradiction_clause,[],[f3399]) ).

fof(f3399,plain,
    ( $false
    | spl26_313 ),
    inference(resolution,[],[f3384,f263]) ).

fof(f3384,plain,
    ( ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | spl26_313 ),
    inference(avatar_component_clause,[],[f3382]) ).

fof(f3391,plain,
    spl26_312,
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3390,plain,
    ( $false
    | spl26_312 ),
    inference(resolution,[],[f3380,f272]) ).

fof(f272,plain,
    m1_subset_1(sK14,u1_struct_0(sK11)),
    inference(cnf_transformation,[],[f190]) ).

fof(f3380,plain,
    ( ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | spl26_312 ),
    inference(avatar_component_clause,[],[f3378]) ).

fof(f3389,plain,
    ( spl26_6
    | ~ spl26_312
    | spl26_23
    | ~ spl26_313
    | ~ spl26_21
    | ~ spl26_314
    | ~ spl26_7
    | ~ spl26_183 ),
    inference(avatar_split_clause,[],[f3376,f1915,f358,f3386,f542,f3382,f549,f3378,f354]) ).

fof(f3376,plain,
    ( k1_lattices(sK11,sK13,sK14) != sK14
    | ~ l2_lattices(sK12)
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | v3_struct_0(sK12)
    | ~ m1_subset_1(sK14,u1_struct_0(sK11))
    | r1_lattices(sK12,sK13,sK14)
    | ~ spl26_7
    | ~ spl26_183 ),
    inference(forward_demodulation,[],[f3375,f1917]) ).

fof(f3375,plain,
    ( v3_struct_0(sK12)
    | ~ m1_subset_1(sK14,u1_struct_0(sK12))
    | r1_lattices(sK12,sK13,sK14)
    | k1_lattices(sK11,sK13,sK14) != sK14
    | ~ m1_subset_1(sK13,u1_struct_0(sK11))
    | ~ l2_lattices(sK12)
    | ~ spl26_7
    | ~ spl26_183 ),
    inference(forward_demodulation,[],[f3374,f1917]) ).

fof(f3374,plain,
    ( ~ m1_subset_1(sK13,u1_struct_0(sK12))
    | v3_struct_0(sK12)
    | r1_lattices(sK12,sK13,sK14)
    | k1_lattices(sK11,sK13,sK14) != sK14
    | ~ m1_subset_1(sK14,u1_struct_0(sK12))
    | ~ l2_lattices(sK12)
    | ~ spl26_7 ),
    inference(superposition,[],[f243,f359]) ).

fof(f3372,plain,
    ( spl26_7
    | ~ spl26_36
    | ~ spl26_39
    | ~ spl26_183
    | ~ spl26_258 ),
    inference(avatar_split_clause,[],[f3371,f2645,f1915,f644,f628,f358]) ).

fof(f628,plain,
    ( spl26_36
  <=> ! [X1] :
        ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK11),X1,sK14) = k1_lattices(sK11,X1,sK14)
        | ~ m1_subset_1(X1,u1_struct_0(sK11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_36])]) ).

fof(f644,plain,
    ( spl26_39
  <=> ! [X3] :
        ( ~ m1_subset_1(X3,u1_struct_0(sK12))
        | k1_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u2_lattices(sK12),X3,sK14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).

fof(f2645,plain,
    ( spl26_258
  <=> u2_lattices(sK12) = u2_lattices(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_258])]) ).

fof(f3371,plain,
    ( k1_lattices(sK11,sK13,sK14) = k1_lattices(sK12,sK13,sK14)
    | ~ spl26_36
    | ~ spl26_39
    | ~ spl26_183
    | ~ spl26_258 ),
    inference(forward_demodulation,[],[f3339,f2229]) ).

fof(f2229,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK11),sK13,sK14) = k1_lattices(sK11,sK13,sK14)
    | ~ spl26_36 ),
    inference(resolution,[],[f629,f263]) ).

fof(f629,plain,
    ( ! [X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK11))
        | k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK11),X1,sK14) = k1_lattices(sK11,X1,sK14) )
    | ~ spl26_36 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f3339,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK11),sK13,sK14) = k1_lattices(sK12,sK13,sK14)
    | ~ spl26_39
    | ~ spl26_183
    | ~ spl26_258 ),
    inference(backward_demodulation,[],[f2790,f2647]) ).

fof(f2647,plain,
    ( u2_lattices(sK12) = u2_lattices(sK11)
    | ~ spl26_258 ),
    inference(avatar_component_clause,[],[f2645]) ).

fof(f2790,plain,
    ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK12),sK13,sK14) = k1_lattices(sK12,sK13,sK14)
    | ~ spl26_39
    | ~ spl26_183 ),
    inference(backward_demodulation,[],[f2253,f1917]) ).

fof(f2253,plain,
    ( k1_lattices(sK12,sK13,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u2_lattices(sK12),sK13,sK14)
    | ~ spl26_39 ),
    inference(resolution,[],[f645,f341]) ).

fof(f645,plain,
    ( ! [X3] :
        ( ~ m1_subset_1(X3,u1_struct_0(sK12))
        | k1_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u2_lattices(sK12),X3,sK14) )
    | ~ spl26_39 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f3323,plain,
    ( spl26_258
    | ~ spl26_75 ),
    inference(avatar_split_clause,[],[f3322,f1013,f2645]) ).

fof(f1013,plain,
    ( spl26_75
  <=> ! [X4,X5,X3] :
        ( u2_lattices(sK12) = X4
        | g3_lattices(X3,X4,X5) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_75])]) ).

fof(f3322,plain,
    ( u2_lattices(sK12) = u2_lattices(sK11)
    | ~ spl26_75 ),
    inference(equality_resolution,[],[f1014]) ).

fof(f1014,plain,
    ( ! [X3,X4,X5] :
        ( g3_lattices(X3,X4,X5) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
        | u2_lattices(sK12) = X4 )
    | ~ spl26_75 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f2705,plain,
    ( spl26_183
    | ~ spl26_71 ),
    inference(avatar_split_clause,[],[f2695,f827,f1915]) ).

fof(f827,plain,
    ( spl26_71
  <=> ! [X2,X0,X1] :
        ( u1_struct_0(sK12) = X0
        | g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_71])]) ).

fof(f2695,plain,
    ( u1_struct_0(sK11) = u1_struct_0(sK12)
    | ~ spl26_71 ),
    inference(equality_resolution,[],[f828]) ).

fof(f828,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
        | u1_struct_0(sK12) = X0 )
    | ~ spl26_71 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f2652,plain,
    spl26_68,
    inference(avatar_split_clause,[],[f2651,f815]) ).

fof(f815,plain,
    ( spl26_68
  <=> m1_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_68])]) ).

fof(f2651,plain,
    m1_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f457,f294]) ).

fof(f294,plain,
    ! [X2,X0,X1] :
      ( ~ m2_relset_1(X2,X1,X0)
      | m1_relset_1(X2,X1,X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X1,X0)
        | ~ m1_relset_1(X2,X1,X0) )
      & ( m1_relset_1(X2,X1,X0)
        | ~ m2_relset_1(X2,X1,X0) ) ),
    inference(rectify,[],[f204]) ).

fof(f204,plain,
    ! [X1,X0,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X1,X0,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f457,plain,
    m2_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f296,f376]) ).

fof(f376,plain,
    l1_lattices(sK12),
    inference(resolution,[],[f291,f273]) ).

fof(f273,plain,
    l3_lattices(sK12),
    inference(cnf_transformation,[],[f190]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f296,plain,
    ! [X0] :
      ( ~ l1_lattices(X0)
      | m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ l1_lattices(X0)
      | ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0))
        & m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( l1_lattices(X0)
     => ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0))
        & m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).

fof(f2629,plain,
    spl26_70,
    inference(avatar_contradiction_clause,[],[f2625]) ).

fof(f2625,plain,
    ( $false
    | spl26_70 ),
    inference(resolution,[],[f825,f391]) ).

fof(f391,plain,
    v1_funct_1(u2_lattices(sK12)),
    inference(resolution,[],[f222,f370]) ).

fof(f370,plain,
    l2_lattices(sK12),
    inference(resolution,[],[f290,f273]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ l2_lattices(X0)
      | v1_funct_1(u2_lattices(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).

fof(f825,plain,
    ( ~ v1_funct_1(u2_lattices(sK12))
    | spl26_70 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f823,plain,
    ( spl26_70
  <=> v1_funct_1(u2_lattices(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_70])]) ).

fof(f2586,plain,
    spl26_72,
    inference(avatar_split_clause,[],[f2585,f830]) ).

fof(f830,plain,
    ( spl26_72
  <=> m1_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_72])]) ).

fof(f2585,plain,
    m1_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f451,f294]) ).

fof(f451,plain,
    m2_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f223,f370]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ l2_lattices(X0)
      | m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f1025,plain,
    ( ~ spl26_68
    | ~ spl26_66
    | spl26_71
    | ~ spl26_72
    | ~ spl26_70
    | ~ spl26_67
    | ~ spl26_69 ),
    inference(avatar_split_clause,[],[f1008,f819,f811,f823,f830,f827,f807,f815]) ).

fof(f807,plain,
    ( spl26_66
  <=> v1_funct_1(u1_lattices(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_66])]) ).

fof(f811,plain,
    ( spl26_67
  <=> v1_funct_2(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_67])]) ).

fof(f819,plain,
    ( spl26_69
  <=> v1_funct_2(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_69])]) ).

fof(f1008,plain,
    ! [X16,X17,X15] :
      ( ~ v1_funct_2(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_2(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_1(u2_lattices(sK12))
      | ~ m1_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | g3_lattices(X15,X16,X17) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
      | u1_struct_0(sK12) = X15
      | ~ v1_funct_1(u1_lattices(sK12))
      | ~ m1_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    inference(superposition,[],[f310,f262]) ).

fof(f262,plain,
    g3_lattices(u1_struct_0(sK12),u2_lattices(sK12),u1_lattices(sK12)) = g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11)),
    inference(cnf_transformation,[],[f190]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X1,X0,X2) != g3_lattices(X5,X4,X3)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
      | X1 = X5
      | ~ v1_funct_1(X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X0 = X4
            & X2 = X3
            & X1 = X5 )
          | g3_lattices(X1,X0,X2) != g3_lattices(X5,X4,X3) )
      | ~ v1_funct_1(X0)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X1,X2,X0] :
      ( ! [X3,X4,X5] :
          ( ( X1 = X4
            & X0 = X3
            & X2 = X5 )
          | g3_lattices(X5,X4,X3) != g3_lattices(X2,X1,X0) )
      | ~ v1_funct_1(X1)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
      | ~ v1_funct_1(X0)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ! [X3,X4,X5] :
          ( ( X1 = X4
            & X0 = X3
            & X2 = X5 )
          | g3_lattices(X5,X4,X3) != g3_lattices(X2,X1,X0) )
      | ~ v1_funct_1(X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
      | ~ v1_funct_1(X1)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ( v1_funct_1(X0)
        & v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
        & v1_funct_1(X1)
        & m1_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
        & v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
        & m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2) )
     => ! [X4,X3,X5] :
          ( g3_lattices(X5,X4,X3) = g3_lattices(X2,X1,X0)
         => ( X1 = X4
            & X0 = X3
            & X2 = X5 ) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,axiom,
    ! [X2,X1,X0] :
      ( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
        & m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X2)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X1) )
     => ! [X5,X4,X3] :
          ( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
         => ( X0 = X3
            & X1 = X4
            & X2 = X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).

fof(f1023,plain,
    ( ~ spl26_70
    | ~ spl26_68
    | ~ spl26_66
    | ~ spl26_69
    | ~ spl26_67
    | ~ spl26_72
    | spl26_76 ),
    inference(avatar_split_clause,[],[f915,f1017,f830,f811,f819,f807,f815,f823]) ).

fof(f915,plain,
    ! [X10,X11,X9] :
      ( u1_lattices(sK12) = X11
      | g3_lattices(X9,X10,X11) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
      | ~ m1_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_2(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_2(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_1(u1_lattices(sK12))
      | ~ m1_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_1(u2_lattices(sK12)) ),
    inference(superposition,[],[f311,f262]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X1,X0,X2) != g3_lattices(X5,X4,X3)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
      | X2 = X3
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f1022,plain,
    ( ~ spl26_67
    | ~ spl26_69
    | spl26_75
    | ~ spl26_72
    | ~ spl26_66
    | ~ spl26_70
    | ~ spl26_68 ),
    inference(avatar_split_clause,[],[f841,f815,f823,f807,f830,f1013,f819,f811]) ).

fof(f841,plain,
    ! [X2,X0,X1] :
      ( ~ m1_relset_1(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | ~ v1_funct_1(u2_lattices(sK12))
      | ~ v1_funct_1(u1_lattices(sK12))
      | ~ m1_relset_1(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | u2_lattices(sK12) = X1
      | ~ v1_funct_2(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12))
      | g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK11),u2_lattices(sK11),u1_lattices(sK11))
      | ~ v1_funct_2(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)) ),
    inference(superposition,[],[f312,f262]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( g3_lattices(X1,X0,X2) != g3_lattices(X5,X4,X3)
      | ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X2)
      | X0 = X4
      | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
      | ~ v1_funct_1(X0)
      | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f1011,plain,
    spl26_66,
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | spl26_66 ),
    inference(resolution,[],[f809,f394]) ).

fof(f394,plain,
    v1_funct_1(u1_lattices(sK12)),
    inference(resolution,[],[f297,f376]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ l1_lattices(X0)
      | v1_funct_1(u1_lattices(X0)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f809,plain,
    ( ~ v1_funct_1(u1_lattices(sK12))
    | spl26_66 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f990,plain,
    spl26_67,
    inference(avatar_split_clause,[],[f430,f811]) ).

fof(f430,plain,
    v1_funct_2(u2_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f221,f370]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ l2_lattices(X0)
      | v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f989,plain,
    spl26_69,
    inference(avatar_split_clause,[],[f466,f819]) ).

fof(f466,plain,
    v1_funct_2(u1_lattices(sK12),k2_zfmisc_1(u1_struct_0(sK12),u1_struct_0(sK12)),u1_struct_0(sK12)),
    inference(resolution,[],[f298,f376]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ l1_lattices(X0)
      | v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f796,plain,
    ( ~ spl26_29
    | spl26_65
    | spl26_23 ),
    inference(avatar_split_clause,[],[f599,f549,f794,f579]) ).

fof(f579,plain,
    ( spl26_29
  <=> l1_lattices(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).

fof(f599,plain,
    ! [X3] :
      ( v3_struct_0(sK12)
      | k2_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u1_lattices(sK12),X3,sK14)
      | ~ l1_lattices(sK12)
      | ~ m1_subset_1(X3,u1_struct_0(sK12)) ),
    inference(resolution,[],[f283,f342]) ).

fof(f342,plain,
    m1_subset_1(sK14,u1_struct_0(sK12)),
    inference(forward_demodulation,[],[f266,f265]) ).

fof(f266,plain,
    m1_subset_1(sK16,u1_struct_0(sK12)),
    inference(cnf_transformation,[],[f190]) ).

fof(f283,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,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)
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ l1_lattices(X0)
      | ! [X1] :
          ( ~ m1_subset_1(X1,u1_struct_0(X0))
          | ! [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)) ) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,u1_struct_0(X0))
          | ! [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)) ) )
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,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/sandbox/benchmark/theBenchmark.p',d2_lattices) ).

fof(f788,plain,
    spl26_29,
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | spl26_29 ),
    inference(resolution,[],[f581,f376]) ).

fof(f581,plain,
    ( ~ l1_lattices(sK12)
    | spl26_29 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f652,plain,
    ( spl26_18
    | spl26_40
    | ~ spl26_26 ),
    inference(avatar_split_clause,[],[f597,f567,f650,f530]) ).

fof(f567,plain,
    ( spl26_26
  <=> l1_lattices(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).

fof(f597,plain,
    ! [X1] :
      ( ~ l1_lattices(sK11)
      | ~ m1_subset_1(X1,u1_struct_0(sK11))
      | k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u1_lattices(sK11),X1,sK14) = k2_lattices(sK11,X1,sK14)
      | v3_struct_0(sK11) ),
    inference(resolution,[],[f283,f272]) ).

fof(f648,plain,
    spl26_26,
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f647,plain,
    ( $false
    | spl26_26 ),
    inference(resolution,[],[f569,f375]) ).

fof(f375,plain,
    l1_lattices(sK11),
    inference(resolution,[],[f291,f260]) ).

fof(f260,plain,
    l3_lattices(sK11),
    inference(cnf_transformation,[],[f190]) ).

fof(f569,plain,
    ( ~ l1_lattices(sK11)
    | spl26_26 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f646,plain,
    ( spl26_23
    | spl26_39
    | ~ spl26_21 ),
    inference(avatar_split_clause,[],[f625,f542,f644,f549]) ).

fof(f625,plain,
    ! [X3] :
      ( ~ l2_lattices(sK12)
      | ~ m1_subset_1(X3,u1_struct_0(sK12))
      | k1_lattices(sK12,X3,sK14) = k2_binop_1(u1_struct_0(sK12),u1_struct_0(sK12),u1_struct_0(sK12),u2_lattices(sK12),X3,sK14)
      | v3_struct_0(sK12) ),
    inference(resolution,[],[f307,f342]) ).

fof(f307,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ m1_subset_1(X1,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)
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [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) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [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) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l2_lattices(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/sandbox/benchmark/theBenchmark.p',d1_lattices) ).

fof(f638,plain,
    ~ spl26_23,
    inference(avatar_contradiction_clause,[],[f637]) ).

fof(f637,plain,
    ( $false
    | ~ spl26_23 ),
    inference(resolution,[],[f551,f261]) ).

fof(f261,plain,
    ~ v3_struct_0(sK12),
    inference(cnf_transformation,[],[f190]) ).

fof(f551,plain,
    ( v3_struct_0(sK12)
    | ~ spl26_23 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f630,plain,
    ( spl26_18
    | ~ spl26_20
    | spl26_36 ),
    inference(avatar_split_clause,[],[f623,f628,f537,f530]) ).

fof(f623,plain,
    ! [X1] :
      ( k2_binop_1(u1_struct_0(sK11),u1_struct_0(sK11),u1_struct_0(sK11),u2_lattices(sK11),X1,sK14) = k1_lattices(sK11,X1,sK14)
      | ~ l2_lattices(sK11)
      | ~ m1_subset_1(X1,u1_struct_0(sK11))
      | v3_struct_0(sK11) ),
    inference(resolution,[],[f307,f272]) ).

fof(f595,plain,
    spl26_21,
    inference(avatar_contradiction_clause,[],[f594]) ).

fof(f594,plain,
    ( $false
    | spl26_21 ),
    inference(resolution,[],[f544,f370]) ).

fof(f544,plain,
    ( ~ l2_lattices(sK12)
    | spl26_21 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f593,plain,
    ~ spl26_18,
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | ~ spl26_18 ),
    inference(resolution,[],[f532,f259]) ).

fof(f259,plain,
    ~ v3_struct_0(sK11),
    inference(cnf_transformation,[],[f190]) ).

fof(f532,plain,
    ( v3_struct_0(sK11)
    | ~ spl26_18 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f591,plain,
    spl26_20,
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f590,plain,
    ( $false
    | spl26_20 ),
    inference(resolution,[],[f539,f369]) ).

fof(f369,plain,
    l2_lattices(sK11),
    inference(resolution,[],[f290,f260]) ).

fof(f539,plain,
    ( ~ l2_lattices(sK11)
    | spl26_20 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f364,plain,
    ( ~ spl26_5
    | spl26_1 ),
    inference(avatar_split_clause,[],[f363,f325,f350]) ).

fof(f325,plain,
    ( spl26_1
  <=> k2_lattices(sK12,sK15,sK16) = k2_lattices(sK11,sK13,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f363,plain,
    ( k2_lattices(sK12,sK13,sK14) != k2_lattices(sK11,sK13,sK14)
    | spl26_1 ),
    inference(forward_demodulation,[],[f362,f271]) ).

fof(f362,plain,
    ( k2_lattices(sK12,sK15,sK14) != k2_lattices(sK11,sK13,sK14)
    | spl26_1 ),
    inference(forward_demodulation,[],[f327,f265]) ).

fof(f327,plain,
    ( k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
    | spl26_1 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f361,plain,
    ( spl26_2
    | ~ spl26_5
    | spl26_6
    | ~ spl26_7 ),
    inference(avatar_split_clause,[],[f348,f358,f354,f350,f329]) ).

fof(f348,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14)
    | r1_lattices(sK12,sK13,sK14)
    | k2_lattices(sK12,sK13,sK14) != k2_lattices(sK11,sK13,sK14)
    | r1_lattices(sK11,sK13,sK14) ),
    inference(forward_demodulation,[],[f347,f271]) ).

fof(f347,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | r1_lattices(sK12,sK13,sK14)
    | k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14)
    | k2_lattices(sK12,sK15,sK14) != k2_lattices(sK11,sK13,sK14) ),
    inference(forward_demodulation,[],[f346,f271]) ).

fof(f346,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14)
    | r1_lattices(sK12,sK15,sK14)
    | k2_lattices(sK12,sK15,sK14) != k2_lattices(sK11,sK13,sK14)
    | r1_lattices(sK11,sK13,sK14) ),
    inference(forward_demodulation,[],[f345,f265]) ).

fof(f345,plain,
    ( k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14)
    | r1_lattices(sK11,sK13,sK14)
    | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
    | r1_lattices(sK12,sK15,sK14) ),
    inference(forward_demodulation,[],[f344,f265]) ).

fof(f344,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | r1_lattices(sK12,sK15,sK16)
    | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
    | k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK13,sK14) ),
    inference(forward_demodulation,[],[f343,f271]) ).

fof(f343,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | k1_lattices(sK11,sK13,sK14) != k1_lattices(sK12,sK15,sK14)
    | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
    | r1_lattices(sK12,sK15,sK16) ),
    inference(forward_demodulation,[],[f270,f265]) ).

fof(f270,plain,
    ( r1_lattices(sK11,sK13,sK14)
    | k1_lattices(sK12,sK15,sK16) != k1_lattices(sK11,sK13,sK14)
    | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14)
    | r1_lattices(sK12,sK15,sK16) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f340,plain,
    ( ~ spl26_1
    | ~ spl26_2
    | ~ spl26_3
    | ~ spl26_4 ),
    inference(avatar_split_clause,[],[f267,f337,f333,f329,f325]) ).

fof(f267,plain,
    ( k1_lattices(sK12,sK15,sK16) != k1_lattices(sK11,sK13,sK14)
    | ~ r1_lattices(sK12,sK15,sK16)
    | ~ r1_lattices(sK11,sK13,sK14)
    | k2_lattices(sK12,sK15,sK16) != k2_lattices(sK11,sK13,sK14) ),
    inference(cnf_transformation,[],[f190]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 02:20:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (21362)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (21346)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (21371)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.50  % (21344)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50  % (21349)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50  % (21348)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (21352)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (21352)Instruction limit reached!
% 0.19/0.50  % (21352)------------------------------
% 0.19/0.50  % (21352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21352)Termination reason: Unknown
% 0.19/0.51  % (21352)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (21352)Memory used [KB]: 1023
% 0.19/0.51  % (21352)Time elapsed: 0.003 s
% 0.19/0.51  % (21352)Instructions burned: 3 (million)
% 0.19/0.51  % (21352)------------------------------
% 0.19/0.51  % (21352)------------------------------
% 0.19/0.51  % (21366)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (21345)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (21347)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (21367)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (21370)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (21373)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52  % (21363)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (21369)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (21372)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (21355)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (21368)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (21358)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (21353)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (21359)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (21361)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (21360)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (21365)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (21350)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (21364)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (21351)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (21357)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (21354)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (21356)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (21351)Instruction limit reached!
% 0.19/0.54  % (21351)------------------------------
% 0.19/0.54  % (21351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21351)Termination reason: Unknown
% 0.19/0.54  % (21351)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (21351)Memory used [KB]: 5628
% 0.19/0.54  % (21351)Time elapsed: 0.151 s
% 0.19/0.54  % (21351)Instructions burned: 7 (million)
% 0.19/0.54  % (21351)------------------------------
% 0.19/0.54  % (21351)------------------------------
% 0.19/0.54  % (21345)Refutation not found, incomplete strategy% (21345)------------------------------
% 0.19/0.54  % (21345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21345)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (21345)Memory used [KB]: 5884
% 0.19/0.54  % (21345)Time elapsed: 0.129 s
% 0.19/0.54  % (21345)Instructions burned: 15 (million)
% 0.19/0.54  % (21345)------------------------------
% 0.19/0.54  % (21345)------------------------------
% 0.19/0.54  TRYING [2]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.56  TRYING [1]
% 0.19/0.56  TRYING [2]
% 1.72/0.57  TRYING [3]
% 1.72/0.57  % (21346)Instruction limit reached!
% 1.72/0.57  % (21346)------------------------------
% 1.72/0.57  % (21346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.58  % (21346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.58  % (21346)Termination reason: Unknown
% 1.87/0.58  % (21346)Termination phase: Saturation
% 1.87/0.58  
% 1.87/0.58  % (21346)Memory used [KB]: 1535
% 1.87/0.58  % (21346)Time elapsed: 0.168 s
% 1.87/0.58  % (21346)Instructions burned: 37 (million)
% 1.87/0.58  % (21346)------------------------------
% 1.87/0.58  % (21346)------------------------------
% 1.87/0.58  TRYING [3]
% 1.87/0.59  TRYING [3]
% 1.87/0.59  % (21350)Instruction limit reached!
% 1.87/0.59  % (21350)------------------------------
% 1.87/0.59  % (21350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.59  % (21350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.59  % (21350)Termination reason: Unknown
% 1.87/0.59  % (21350)Termination phase: Finite model building constraint generation
% 1.87/0.59  
% 1.87/0.59  % (21350)Memory used [KB]: 7931
% 1.87/0.59  % (21350)Time elapsed: 0.144 s
% 1.87/0.59  % (21350)Instructions burned: 52 (million)
% 1.87/0.59  % (21350)------------------------------
% 1.87/0.59  % (21350)------------------------------
% 1.87/0.60  % (21349)Instruction limit reached!
% 1.87/0.60  % (21349)------------------------------
% 1.87/0.60  % (21349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (21349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (21349)Termination reason: Unknown
% 1.87/0.60  % (21349)Termination phase: Saturation
% 1.87/0.60  
% 1.87/0.60  % (21347)Instruction limit reached!
% 1.87/0.60  % (21347)------------------------------
% 1.87/0.60  % (21347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (21347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (21347)Termination reason: Unknown
% 1.87/0.60  % (21347)Termination phase: Saturation
% 1.87/0.60  
% 1.87/0.60  % (21347)Memory used [KB]: 6652
% 1.87/0.60  % (21347)Time elapsed: 0.210 s
% 1.87/0.60  % (21347)Instructions burned: 52 (million)
% 1.87/0.60  % (21347)------------------------------
% 1.87/0.60  % (21347)------------------------------
% 1.87/0.61  % (21361)Instruction limit reached!
% 1.87/0.61  % (21361)------------------------------
% 1.87/0.61  % (21361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61  % (21361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61  % (21361)Termination reason: Unknown
% 1.87/0.61  % (21361)Termination phase: Finite model building constraint generation
% 1.87/0.61  
% 1.87/0.61  % (21361)Memory used [KB]: 8059
% 1.87/0.61  % (21361)Time elapsed: 0.182 s
% 1.87/0.61  % (21361)Instructions burned: 59 (million)
% 1.87/0.61  % (21361)------------------------------
% 1.87/0.61  % (21361)------------------------------
% 1.87/0.61  % (21349)Memory used [KB]: 6140
% 1.87/0.61  % (21349)Time elapsed: 0.213 s
% 1.87/0.61  % (21349)Instructions burned: 48 (million)
% 1.87/0.61  % (21349)------------------------------
% 1.87/0.61  % (21349)------------------------------
% 1.87/0.62  % (21348)Instruction limit reached!
% 1.87/0.62  % (21348)------------------------------
% 1.87/0.62  % (21348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62  % (21348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62  % (21348)Termination reason: Unknown
% 1.87/0.62  % (21348)Termination phase: Saturation
% 1.87/0.62  
% 1.87/0.62  % (21348)Memory used [KB]: 6268
% 1.87/0.62  % (21348)Time elapsed: 0.215 s
% 1.87/0.62  % (21348)Instructions burned: 51 (million)
% 1.87/0.62  % (21348)------------------------------
% 1.87/0.62  % (21348)------------------------------
% 1.87/0.62  % (21354)Instruction limit reached!
% 1.87/0.62  % (21354)------------------------------
% 1.87/0.62  % (21354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62  % (21354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62  % (21354)Termination reason: Unknown
% 1.87/0.62  % (21354)Termination phase: Saturation
% 1.87/0.62  
% 1.87/0.62  % (21354)Memory used [KB]: 6524
% 1.87/0.62  % (21354)Time elapsed: 0.234 s
% 1.87/0.62  % (21354)Instructions burned: 50 (million)
% 1.87/0.62  % (21354)------------------------------
% 1.87/0.62  % (21354)------------------------------
% 2.16/0.64  % (21358)Instruction limit reached!
% 2.16/0.64  % (21358)------------------------------
% 2.16/0.64  % (21358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.64  % (21358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64  % (21358)Termination reason: Unknown
% 2.16/0.64  % (21358)Termination phase: Saturation
% 2.16/0.64  
% 2.16/0.64  % (21358)Memory used [KB]: 7036
% 2.16/0.64  % (21358)Time elapsed: 0.038 s
% 2.16/0.64  % (21358)Instructions burned: 68 (million)
% 2.16/0.64  % (21358)------------------------------
% 2.16/0.64  % (21358)------------------------------
% 2.36/0.65  % (21353)Instruction limit reached!
% 2.36/0.65  % (21353)------------------------------
% 2.36/0.65  % (21353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.65  % (21353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.65  % (21353)Termination reason: Unknown
% 2.36/0.65  % (21353)Termination phase: Saturation
% 2.36/0.65  
% 2.36/0.65  % (21353)Memory used [KB]: 2174
% 2.36/0.65  % (21353)Time elapsed: 0.260 s
% 2.36/0.65  % (21353)Instructions burned: 51 (million)
% 2.36/0.65  % (21353)------------------------------
% 2.36/0.65  % (21353)------------------------------
% 2.36/0.65  % (21370)Instruction limit reached!
% 2.36/0.65  % (21370)------------------------------
% 2.36/0.65  % (21370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.65  % (21359)Instruction limit reached!
% 2.36/0.65  % (21359)------------------------------
% 2.36/0.65  % (21359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.65  % (21359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.65  % (21370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.65  % (21359)Termination reason: Unknown
% 2.36/0.65  % (21370)Termination reason: Unknown
% 2.36/0.65  % (21359)Termination phase: Saturation
% 2.36/0.65  % (21370)Termination phase: Saturation
% 2.36/0.65  
% 2.36/0.65  
% 2.36/0.65  % (21359)Memory used [KB]: 2558
% 2.36/0.65  % (21370)Memory used [KB]: 7036
% 2.36/0.65  % (21359)Time elapsed: 0.256 s
% 2.36/0.65  % (21370)Time elapsed: 0.039 s
% 2.36/0.65  % (21359)Instructions burned: 77 (million)
% 2.36/0.65  % (21370)Instructions burned: 69 (million)
% 2.36/0.65  % (21359)------------------------------
% 2.36/0.65  % (21359)------------------------------
% 2.36/0.65  % (21370)------------------------------
% 2.36/0.65  % (21370)------------------------------
% 2.36/0.68  % (21375)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.36/0.68  % (21374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.36/0.68  % (21376)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.36/0.68  % (21363)Instruction limit reached!
% 2.36/0.68  % (21363)------------------------------
% 2.36/0.68  % (21363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68  % (21363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68  % (21363)Termination reason: Unknown
% 2.36/0.68  % (21363)Termination phase: Saturation
% 2.36/0.68  
% 2.36/0.68  % (21363)Memory used [KB]: 2046
% 2.36/0.68  % (21363)Time elapsed: 0.277 s
% 2.36/0.68  % (21363)Instructions burned: 100 (million)
% 2.36/0.68  % (21363)------------------------------
% 2.36/0.68  % (21363)------------------------------
% 2.36/0.69  % (21355)Instruction limit reached!
% 2.36/0.69  % (21355)------------------------------
% 2.36/0.69  % (21355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.69  % (21355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.69  % (21355)Termination reason: Unknown
% 2.36/0.69  % (21355)Termination phase: Saturation
% 2.36/0.69  
% 2.36/0.69  % (21355)Memory used [KB]: 6908
% 2.36/0.69  % (21355)Time elapsed: 0.287 s
% 2.36/0.69  % (21355)Instructions burned: 100 (million)
% 2.36/0.69  % (21355)------------------------------
% 2.36/0.69  % (21355)------------------------------
% 2.36/0.69  % (21362)Instruction limit reached!
% 2.36/0.69  % (21362)------------------------------
% 2.36/0.69  % (21362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.70  % (21362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.70  % (21362)Termination reason: Unknown
% 2.36/0.70  % (21362)Termination phase: Saturation
% 2.36/0.70  
% 2.36/0.70  % (21362)Memory used [KB]: 7164
% 2.36/0.70  % (21362)Time elapsed: 0.304 s
% 2.36/0.70  % (21362)Instructions burned: 100 (million)
% 2.36/0.70  % (21362)------------------------------
% 2.36/0.70  % (21362)------------------------------
% 2.36/0.71  % (21357)Instruction limit reached!
% 2.36/0.71  % (21357)------------------------------
% 2.36/0.71  % (21357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.71  % (21357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.71  % (21357)Termination reason: Unknown
% 2.36/0.71  % (21357)Termination phase: Saturation
% 2.36/0.71  
% 2.36/0.71  % (21357)Memory used [KB]: 6908
% 2.36/0.71  % (21357)Time elapsed: 0.322 s
% 2.36/0.71  % (21357)Instructions burned: 100 (million)
% 2.36/0.71  % (21357)------------------------------
% 2.36/0.71  % (21357)------------------------------
% 2.36/0.72  % (21356)Instruction limit reached!
% 2.36/0.72  % (21356)------------------------------
% 2.36/0.72  % (21356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.72  % (21356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.72  % (21356)Termination reason: Unknown
% 2.36/0.72  % (21356)Termination phase: Saturation
% 2.36/0.72  
% 2.36/0.72  % (21356)Memory used [KB]: 7036
% 2.36/0.72  % (21356)Time elapsed: 0.320 s
% 2.36/0.72  % (21356)Instructions burned: 101 (million)
% 2.36/0.72  % (21356)------------------------------
% 2.36/0.72  % (21356)------------------------------
% 2.79/0.72  % (21360)Instruction limit reached!
% 2.79/0.72  % (21360)------------------------------
% 2.79/0.72  % (21360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.72  % (21360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.72  % (21360)Termination reason: Unknown
% 2.79/0.72  % (21360)Termination phase: Saturation
% 2.79/0.72  
% 2.79/0.72  % (21360)Memory used [KB]: 6780
% 2.79/0.72  % (21360)Time elapsed: 0.334 s
% 2.79/0.72  % (21360)Instructions burned: 100 (million)
% 2.79/0.72  % (21360)------------------------------
% 2.79/0.72  % (21360)------------------------------
% 2.79/0.72  % (21379)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.79/0.73  % (21378)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.79/0.74  % (21377)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.79/0.74  % (21380)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.79/0.75  % (21381)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.79/0.75  % (21382)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.79/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.79/0.76  % (21383)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.79/0.76  % (21373)First to succeed.
% 2.99/0.78  % (21384)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.99/0.78  % (21364)Instruction limit reached!
% 2.99/0.78  % (21364)------------------------------
% 2.99/0.78  % (21364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.78  % (21364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.78  % (21364)Termination reason: Unknown
% 2.99/0.78  % (21364)Termination phase: Saturation
% 2.99/0.78  
% 2.99/0.78  % (21364)Memory used [KB]: 6652
% 2.99/0.78  % (21364)Time elapsed: 0.374 s
% 2.99/0.78  % (21364)Instructions burned: 178 (million)
% 2.99/0.78  % (21364)------------------------------
% 2.99/0.78  % (21364)------------------------------
% 2.99/0.78  % (21365)Instruction limit reached!
% 2.99/0.78  % (21365)------------------------------
% 2.99/0.78  % (21365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.78  % (21365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.78  % (21365)Termination reason: Unknown
% 2.99/0.78  % (21365)Termination phase: Saturation
% 2.99/0.78  
% 2.99/0.78  % (21365)Memory used [KB]: 7291
% 2.99/0.78  % (21365)Time elapsed: 0.381 s
% 2.99/0.78  % (21365)Instructions burned: 139 (million)
% 2.99/0.78  % (21365)------------------------------
% 2.99/0.78  % (21365)------------------------------
% 2.99/0.78  % (21387)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.99/0.79  % (21373)Refutation found. Thanks to Tanya!
% 2.99/0.79  % SZS status Theorem for theBenchmark
% 2.99/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.99/0.79  % (21373)------------------------------
% 2.99/0.79  % (21373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.79  % (21373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.79  % (21373)Termination reason: Refutation
% 2.99/0.79  
% 2.99/0.79  % (21373)Memory used [KB]: 8059
% 2.99/0.79  % (21373)Time elapsed: 0.364 s
% 2.99/0.79  % (21373)Instructions burned: 128 (million)
% 2.99/0.79  % (21373)------------------------------
% 2.99/0.79  % (21373)------------------------------
% 2.99/0.79  % (21343)Success in time 0.434 s
%------------------------------------------------------------------------------