TSTP Solution File: SEU349+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 18:29:07 EDT 2022

% Result   : Theorem 2.08s 0.64s
% Output   : Refutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  288 (  16 unt;   0 def)
%            Number of atoms       : 1425 (  42 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 1937 ( 800   ~; 891   |; 165   &)
%                                         (  37 <=>;  42  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   46 (  44 usr;  17 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  352 ( 329   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1411,plain,
    $false,
    inference(avatar_sat_refutation,[],[f354,f355,f423,f429,f445,f462,f498,f520,f538,f573,f605,f631,f689,f965,f1124,f1136,f1328,f1410]) ).

fof(f1410,plain,
    ( spl21_1
    | ~ spl21_9
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_46 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | spl21_1
    | ~ spl21_9
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_46 ),
    inference(subsumption_resolution,[],[f1408,f1349]) ).

fof(f1349,plain,
    ( ~ below_refl(sK10,sK20(sK10,sK11,sK9),sK11)
    | spl21_1
    | ~ spl21_9
    | ~ spl21_46 ),
    inference(subsumption_resolution,[],[f1348,f288]) ).

fof(f288,plain,
    element(sK11,the_carrier(sK10)),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ( ~ empty_carrier(sK10)
    & latt_str(sK10)
    & element(sK11,the_carrier(sK10))
    & ( ~ latt_element_smaller(sK10,sK11,sK9)
      | ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) )
    & ( latt_element_smaller(sK10,sK11,sK9)
      | relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) )
    & lattice(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f195,f197,f196]) ).

fof(f196,plain,
    ( ? [X0,X1] :
        ( ~ empty_carrier(X1)
        & latt_str(X1)
        & ? [X2] :
            ( element(X2,the_carrier(X1))
            & ( ~ latt_element_smaller(X1,X2,X0)
              | ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
            & ( latt_element_smaller(X1,X2,X0)
              | relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) )
        & lattice(X1) )
   => ( ~ empty_carrier(sK10)
      & latt_str(sK10)
      & ? [X2] :
          ( element(X2,the_carrier(sK10))
          & ( ~ latt_element_smaller(sK10,X2,sK9)
            | ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,X2)) )
          & ( latt_element_smaller(sK10,X2,sK9)
            | relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,X2)) ) )
      & lattice(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f197,plain,
    ( ? [X2] :
        ( element(X2,the_carrier(sK10))
        & ( ~ latt_element_smaller(sK10,X2,sK9)
          | ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,X2)) )
        & ( latt_element_smaller(sK10,X2,sK9)
          | relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,X2)) ) )
   => ( element(sK11,the_carrier(sK10))
      & ( ~ latt_element_smaller(sK10,sK11,sK9)
        | ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) )
      & ( latt_element_smaller(sK10,sK11,sK9)
        | relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f195,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & latt_str(X1)
      & ? [X2] :
          ( element(X2,the_carrier(X1))
          & ( ~ latt_element_smaller(X1,X2,X0)
            | ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
          & ( latt_element_smaller(X1,X2,X0)
            | relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) )
      & lattice(X1) ),
    inference(flattening,[],[f194]) ).

fof(f194,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & latt_str(X1)
      & ? [X2] :
          ( element(X2,the_carrier(X1))
          & ( ~ latt_element_smaller(X1,X2,X0)
            | ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
          & ( latt_element_smaller(X1,X2,X0)
            | relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) )
      & lattice(X1) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & latt_str(X1)
      & ? [X2] :
          ( element(X2,the_carrier(X1))
          & ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
          <~> latt_element_smaller(X1,X2,X0) ) )
      & lattice(X1) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ? [X1,X0] :
      ( ? [X2] :
          ( element(X2,the_carrier(X1))
          & ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
          <~> latt_element_smaller(X1,X2,X0) ) )
      & ~ empty_carrier(X1)
      & lattice(X1)
      & latt_str(X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( ~ empty_carrier(X1)
          & lattice(X1)
          & latt_str(X1) )
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
            <=> latt_element_smaller(X1,X2,X0) ) ) ),
    inference(negated_conjecture,[],[f64]) ).

fof(f64,conjecture,
    ! [X1,X0] :
      ( ( ~ empty_carrier(X1)
        & lattice(X1)
        & latt_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
          <=> latt_element_smaller(X1,X2,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattice3) ).

fof(f1348,plain,
    ( ~ below_refl(sK10,sK20(sK10,sK11,sK9),sK11)
    | ~ element(sK11,the_carrier(sK10))
    | spl21_1
    | ~ spl21_9
    | ~ spl21_46 ),
    inference(subsumption_resolution,[],[f1341,f943]) ).

fof(f943,plain,
    ( element(sK20(sK10,sK11,sK9),the_carrier(sK10))
    | ~ spl21_46 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f942,plain,
    ( spl21_46
  <=> element(sK20(sK10,sK11,sK9),the_carrier(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_46])]) ).

fof(f1341,plain,
    ( ~ element(sK20(sK10,sK11,sK9),the_carrier(sK10))
    | ~ element(sK11,the_carrier(sK10))
    | ~ below_refl(sK10,sK20(sK10,sK11,sK9),sK11)
    | spl21_1
    | ~ spl21_9 ),
    inference(resolution,[],[f348,f903]) ).

fof(f903,plain,
    ( ! [X0,X1] :
        ( latt_element_smaller(sK10,X0,X1)
        | ~ element(X0,the_carrier(sK10))
        | ~ element(sK20(sK10,X0,X1),the_carrier(sK10))
        | ~ below_refl(sK10,sK20(sK10,X0,X1),X0) )
    | ~ spl21_9 ),
    inference(duplicate_literal_removal,[],[f902]) ).

fof(f902,plain,
    ( ! [X0,X1] :
        ( ~ element(X0,the_carrier(sK10))
        | ~ below_refl(sK10,sK20(sK10,X0,X1),X0)
        | ~ element(sK20(sK10,X0,X1),the_carrier(sK10))
        | ~ element(X0,the_carrier(sK10))
        | latt_element_smaller(sK10,X0,X1) )
    | ~ spl21_9 ),
    inference(resolution,[],[f428,f391]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ~ below(sK10,sK20(sK10,X0,X1),X0)
      | ~ element(X0,the_carrier(sK10))
      | latt_element_smaller(sK10,X0,X1) ),
    inference(subsumption_resolution,[],[f388,f289]) ).

fof(f289,plain,
    latt_str(sK10),
    inference(cnf_transformation,[],[f198]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ~ latt_str(sK10)
      | ~ below(sK10,sK20(sK10,X0,X1),X0)
      | latt_element_smaller(sK10,X0,X1)
      | ~ element(X0,the_carrier(sK10)) ),
    inference(resolution,[],[f290,f342]) ).

fof(f342,plain,
    ! [X2,X0,X1] :
      ( empty_carrier(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ latt_str(X0)
      | ~ below(X0,sK20(X0,X1,X2),X1)
      | latt_element_smaller(X0,X1,X2) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f229,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ! [X3] :
                    ( ~ element(X3,the_carrier(X0))
                    | ~ in(X3,X2)
                    | below(X0,X3,X1) )
                | ~ latt_element_smaller(X0,X1,X2) )
              & ( latt_element_smaller(X0,X1,X2)
                | ( element(sK20(X0,X1,X2),the_carrier(X0))
                  & in(sK20(X0,X1,X2),X2)
                  & ~ below(X0,sK20(X0,X1,X2),X1) ) ) )
          | ~ element(X1,the_carrier(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f227,f228]) ).

fof(f228,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( element(X4,the_carrier(X0))
          & in(X4,X2)
          & ~ below(X0,X4,X1) )
     => ( element(sK20(X0,X1,X2),the_carrier(X0))
        & in(sK20(X0,X1,X2),X2)
        & ~ below(X0,sK20(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ! [X3] :
                    ( ~ element(X3,the_carrier(X0))
                    | ~ in(X3,X2)
                    | below(X0,X3,X1) )
                | ~ latt_element_smaller(X0,X1,X2) )
              & ( latt_element_smaller(X0,X1,X2)
                | ? [X4] :
                    ( element(X4,the_carrier(X0))
                    & in(X4,X2)
                    & ~ below(X0,X4,X1) ) ) )
          | ~ element(X1,the_carrier(X0)) ) ),
    inference(rectify,[],[f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ! [X3] :
                    ( ~ element(X3,the_carrier(X0))
                    | ~ in(X3,X2)
                    | below(X0,X3,X1) )
                | ~ latt_element_smaller(X0,X1,X2) )
              & ( latt_element_smaller(X0,X1,X2)
                | ? [X3] :
                    ( element(X3,the_carrier(X0))
                    & in(X3,X2)
                    & ~ below(X0,X3,X1) ) ) )
          | ~ element(X1,the_carrier(X0)) ) ),
    inference(nnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ~ element(X3,the_carrier(X0))
                  | ~ in(X3,X2)
                  | below(X0,X3,X1) )
            <=> latt_element_smaller(X0,X1,X2) )
          | ~ element(X1,the_carrier(X0)) ) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( latt_element_smaller(X0,X1,X2)
            <=> ! [X3] :
                  ( below(X0,X3,X1)
                  | ~ in(X3,X2)
                  | ~ element(X3,the_carrier(X0)) ) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & latt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( latt_element_smaller(X0,X1,X2)
            <=> ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( in(X3,X2)
                   => below(X0,X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_lattice3) ).

fof(f290,plain,
    ~ empty_carrier(sK10),
    inference(cnf_transformation,[],[f198]) ).

fof(f428,plain,
    ( ! [X2,X3] :
        ( below(sK10,X2,X3)
        | ~ element(X3,the_carrier(sK10))
        | ~ below_refl(sK10,X2,X3)
        | ~ element(X2,the_carrier(sK10)) )
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl21_9
  <=> ! [X2,X3] :
        ( below(sK10,X2,X3)
        | ~ element(X2,the_carrier(sK10))
        | ~ below_refl(sK10,X2,X3)
        | ~ element(X3,the_carrier(sK10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f348,plain,
    ( ~ latt_element_smaller(sK10,sK11,sK9)
    | spl21_1 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl21_1
  <=> latt_element_smaller(sK10,sK11,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f1408,plain,
    ( below_refl(sK10,sK20(sK10,sK11,sK9),sK11)
    | spl21_1
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_46 ),
    inference(subsumption_resolution,[],[f1399,f943]) ).

fof(f1399,plain,
    ( ~ element(sK20(sK10,sK11,sK9),the_carrier(sK10))
    | below_refl(sK10,sK20(sK10,sK11,sK9),sK11)
    | spl21_1
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_46 ),
    inference(resolution,[],[f1390,f659]) ).

fof(f659,plain,
    ! [X0] :
      ( ~ related_reflexive(poset_of_lattice(sK10),X0,sK11)
      | ~ element(X0,the_carrier(sK10))
      | below_refl(sK10,X0,sK11) ),
    inference(forward_subsumption_demodulation,[],[f658,f369]) ).

fof(f369,plain,
    ! [X3] :
      ( ~ element(X3,the_carrier(sK10))
      | cast_to_el_of_LattPOSet(sK10,X3) = X3 ),
    inference(subsumption_resolution,[],[f368,f289]) ).

fof(f368,plain,
    ! [X3] :
      ( cast_to_el_of_LattPOSet(sK10,X3) = X3
      | ~ latt_str(sK10)
      | ~ element(X3,the_carrier(sK10)) ),
    inference(subsumption_resolution,[],[f365,f290]) ).

fof(f365,plain,
    ! [X3] :
      ( empty_carrier(sK10)
      | ~ latt_str(sK10)
      | ~ element(X3,the_carrier(sK10))
      | cast_to_el_of_LattPOSet(sK10,X3) = X3 ),
    inference(resolution,[],[f285,f340]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ lattice(X0)
      | cast_to_el_of_LattPOSet(X0,X1) = X1
      | ~ element(X1,the_carrier(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
    inference(flattening,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | cast_to_el_of_LattPOSet(X0,X1) = X1 )
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( latt_str(X0)
        & ~ empty_carrier(X0)
        & lattice(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).

fof(f285,plain,
    lattice(sK10),
    inference(cnf_transformation,[],[f198]) ).

fof(f658,plain,
    ! [X0] :
      ( below_refl(sK10,X0,sK11)
      | ~ related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X0),sK11)
      | ~ element(X0,the_carrier(sK10)) ),
    inference(subsumption_resolution,[],[f657,f290]) ).

fof(f657,plain,
    ! [X0] :
      ( below_refl(sK10,X0,sK11)
      | ~ related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X0),sK11)
      | empty_carrier(sK10)
      | ~ element(X0,the_carrier(sK10)) ),
    inference(subsumption_resolution,[],[f656,f285]) ).

fof(f656,plain,
    ! [X0] :
      ( below_refl(sK10,X0,sK11)
      | ~ element(X0,the_carrier(sK10))
      | ~ lattice(sK10)
      | ~ related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X0),sK11)
      | empty_carrier(sK10) ),
    inference(subsumption_resolution,[],[f655,f289]) ).

fof(f655,plain,
    ! [X0] :
      ( ~ related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X0),sK11)
      | ~ latt_str(sK10)
      | below_refl(sK10,X0,sK11)
      | ~ lattice(sK10)
      | empty_carrier(sK10)
      | ~ element(X0,the_carrier(sK10)) ),
    inference(subsumption_resolution,[],[f648,f288]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ element(sK11,the_carrier(sK10))
      | ~ element(X0,the_carrier(sK10))
      | ~ latt_str(sK10)
      | empty_carrier(sK10)
      | below_refl(sK10,X0,sK11)
      | ~ related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X0),sK11)
      | ~ lattice(sK10) ),
    inference(superposition,[],[f264,f586]) ).

fof(f586,plain,
    sK11 = cast_to_el_of_LattPOSet(sK10,sK11),
    inference(resolution,[],[f369,f288]) ).

fof(f264,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ lattice(X0)
      | below_refl(X0,X1,X2) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
                  | ~ below_refl(X0,X1,X2) )
                & ( below_refl(X0,X1,X2)
                  | ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ latt_str(X0) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ latt_str(X0) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ lattice(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ( lattice(X0)
        & ~ empty_carrier(X0)
        & latt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).

fof(f1390,plain,
    ( related_reflexive(poset_of_lattice(sK10),sK20(sK10,sK11,sK9),sK11)
    | spl21_1
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_46 ),
    inference(subsumption_resolution,[],[f1388,f943]) ).

fof(f1388,plain,
    ( related_reflexive(poset_of_lattice(sK10),sK20(sK10,sK11,sK9),sK11)
    | ~ element(sK20(sK10,sK11,sK9),the_carrier(sK10))
    | spl21_1
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(resolution,[],[f1376,f1347]) ).

fof(f1347,plain,
    ( in(sK20(sK10,sK11,sK9),sK9)
    | spl21_1 ),
    inference(subsumption_resolution,[],[f1346,f289]) ).

fof(f1346,plain,
    ( ~ latt_str(sK10)
    | in(sK20(sK10,sK11,sK9),sK9)
    | spl21_1 ),
    inference(subsumption_resolution,[],[f1345,f288]) ).

fof(f1345,plain,
    ( in(sK20(sK10,sK11,sK9),sK9)
    | ~ element(sK11,the_carrier(sK10))
    | ~ latt_str(sK10)
    | spl21_1 ),
    inference(subsumption_resolution,[],[f1344,f290]) ).

fof(f1344,plain,
    ( empty_carrier(sK10)
    | ~ element(sK11,the_carrier(sK10))
    | in(sK20(sK10,sK11,sK9),sK9)
    | ~ latt_str(sK10)
    | spl21_1 ),
    inference(resolution,[],[f348,f343]) ).

fof(f343,plain,
    ! [X2,X0,X1] :
      ( latt_element_smaller(X0,X1,X2)
      | ~ latt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | in(sK20(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f1376,plain,
    ( ! [X1] :
        ( ~ in(X1,sK9)
        | related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(X1,the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(duplicate_literal_removal,[],[f1375]) ).

fof(f1375,plain,
    ( ! [X1] :
        ( ~ element(X1,the_carrier(sK10))
        | ~ in(X1,sK9)
        | related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(X1,the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(forward_demodulation,[],[f1374,f781]) ).

fof(f781,plain,
    ( the_carrier(sK10) = the_carrier(poset_of_lattice(sK10))
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(trivial_inequality_removal,[],[f779]) ).

fof(f779,plain,
    ( poset_of_lattice(sK10) != poset_of_lattice(sK10)
    | the_carrier(sK10) = the_carrier(poset_of_lattice(sK10))
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(superposition,[],[f572,f533]) ).

fof(f533,plain,
    ( rel_str_of(the_carrier(poset_of_lattice(sK10)),the_InternalRel(poset_of_lattice(sK10))) = poset_of_lattice(sK10)
    | ~ spl21_26 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f531,plain,
    ( spl21_26
  <=> rel_str_of(the_carrier(poset_of_lattice(sK10)),the_InternalRel(poset_of_lattice(sK10))) = poset_of_lattice(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).

fof(f572,plain,
    ( ! [X0,X1] :
        ( rel_str_of(X0,X1) != poset_of_lattice(sK10)
        | the_carrier(sK10) = X0 )
    | ~ spl21_29 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f571,plain,
    ( spl21_29
  <=> ! [X0,X1] :
        ( the_carrier(sK10) = X0
        | rel_str_of(X0,X1) != poset_of_lattice(sK10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_29])]) ).

fof(f1374,plain,
    ( ! [X1] :
        ( related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(X1,the_carrier(poset_of_lattice(sK10)))
        | ~ element(X1,the_carrier(sK10))
        | ~ in(X1,sK9) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f1373,f288]) ).

fof(f1373,plain,
    ( ! [X1] :
        ( related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(sK11,the_carrier(sK10))
        | ~ in(X1,sK9)
        | ~ element(X1,the_carrier(poset_of_lattice(sK10)))
        | ~ element(X1,the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(forward_demodulation,[],[f1372,f781]) ).

fof(f1372,plain,
    ( ! [X1] :
        ( ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
        | ~ element(X1,the_carrier(sK10))
        | related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ in(X1,sK9)
        | ~ element(X1,the_carrier(poset_of_lattice(sK10))) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f1371,f375]) ).

fof(f375,plain,
    reflexive_relstr(poset_of_lattice(sK10)),
    inference(subsumption_resolution,[],[f374,f289]) ).

fof(f374,plain,
    ( reflexive_relstr(poset_of_lattice(sK10))
    | ~ latt_str(sK10) ),
    inference(subsumption_resolution,[],[f357,f290]) ).

fof(f357,plain,
    ( reflexive_relstr(poset_of_lattice(sK10))
    | empty_carrier(sK10)
    | ~ latt_str(sK10) ),
    inference(resolution,[],[f285,f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | reflexive_relstr(poset_of_lattice(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ lattice(X0)
      | ( antisymmetric_relstr(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0)) )
      | ~ latt_str(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ( antisymmetric_relstr(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0)) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & lattice(X0)
        & latt_str(X0) )
     => ( antisymmetric_relstr(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).

fof(f1371,plain,
    ( ! [X1] :
        ( ~ in(X1,sK9)
        | ~ element(X1,the_carrier(poset_of_lattice(sK10)))
        | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
        | ~ reflexive_relstr(poset_of_lattice(sK10))
        | related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(X1,the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f1370,f381]) ).

fof(f381,plain,
    ~ empty_carrier(poset_of_lattice(sK10)),
    inference(subsumption_resolution,[],[f380,f290]) ).

fof(f380,plain,
    ( empty_carrier(sK10)
    | ~ empty_carrier(poset_of_lattice(sK10)) ),
    inference(subsumption_resolution,[],[f363,f289]) ).

fof(f363,plain,
    ( ~ latt_str(sK10)
    | ~ empty_carrier(poset_of_lattice(sK10))
    | empty_carrier(sK10) ),
    inference(resolution,[],[f285,f335]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ empty_carrier(poset_of_lattice(X0)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ lattice(X0)
      | ( antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0)) )
      | ~ latt_str(X0) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ( antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0)) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & lattice(X0)
        & latt_str(X0) )
     => ( antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).

fof(f1370,plain,
    ( ! [X1] :
        ( ~ element(X1,the_carrier(sK10))
        | related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ element(X1,the_carrier(poset_of_lattice(sK10)))
        | ~ in(X1,sK9)
        | empty_carrier(poset_of_lattice(sK10))
        | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
        | ~ reflexive_relstr(poset_of_lattice(sK10)) )
    | ~ spl21_12
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f1366,f453]) ).

fof(f453,plain,
    ( rel_str(poset_of_lattice(sK10))
    | ~ spl21_12 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl21_12
  <=> rel_str(poset_of_lattice(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).

fof(f1366,plain,
    ( ! [X1] :
        ( related_reflexive(poset_of_lattice(sK10),X1,sK11)
        | ~ rel_str(poset_of_lattice(sK10))
        | ~ element(X1,the_carrier(poset_of_lattice(sK10)))
        | empty_carrier(poset_of_lattice(sK10))
        | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
        | ~ in(X1,sK9)
        | ~ element(X1,the_carrier(sK10))
        | ~ reflexive_relstr(poset_of_lattice(sK10)) )
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(resolution,[],[f1338,f304]) ).

fof(f304,plain,
    ! [X2,X0,X1] :
      ( ~ related(X1,X0,X2)
      | empty_carrier(X1)
      | related_reflexive(X1,X0,X2)
      | ~ element(X0,the_carrier(X1))
      | ~ rel_str(X1)
      | ~ reflexive_relstr(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X2] :
      ( ~ element(X0,the_carrier(X1))
      | ~ rel_str(X1)
      | empty_carrier(X1)
      | ( ( related_reflexive(X1,X0,X2)
          | ~ related(X1,X0,X2) )
        & ( related(X1,X0,X2)
          | ~ related_reflexive(X1,X0,X2) ) )
      | ~ reflexive_relstr(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(rectify,[],[f206]) ).

fof(f206,plain,
    ! [X0,X2,X1] :
      ( ~ element(X0,the_carrier(X2))
      | ~ rel_str(X2)
      | empty_carrier(X2)
      | ( ( related_reflexive(X2,X0,X1)
          | ~ related(X2,X0,X1) )
        & ( related(X2,X0,X1)
          | ~ related_reflexive(X2,X0,X1) ) )
      | ~ reflexive_relstr(X2)
      | ~ element(X1,the_carrier(X2)) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X2,X1] :
      ( ~ element(X0,the_carrier(X2))
      | ~ rel_str(X2)
      | empty_carrier(X2)
      | ( related_reflexive(X2,X0,X1)
      <=> related(X2,X0,X1) )
      | ~ reflexive_relstr(X2)
      | ~ element(X1,the_carrier(X2)) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0,X2] :
      ( ( related_reflexive(X2,X0,X1)
      <=> related(X2,X0,X1) )
      | empty_carrier(X2)
      | ~ rel_str(X2)
      | ~ reflexive_relstr(X2)
      | ~ element(X0,the_carrier(X2))
      | ~ element(X1,the_carrier(X2)) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0,X2] :
      ( ( ~ empty_carrier(X2)
        & rel_str(X2)
        & reflexive_relstr(X2)
        & element(X0,the_carrier(X2))
        & element(X1,the_carrier(X2)) )
     => ( related_reflexive(X2,X0,X1)
      <=> related(X2,X0,X1) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X1,X2,X0] :
      ( ( reflexive_relstr(X0)
        & element(X2,the_carrier(X0))
        & ~ empty_carrier(X0)
        & rel_str(X0)
        & element(X1,the_carrier(X0)) )
     => ( related(X0,X1,X2)
      <=> related_reflexive(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).

fof(f1338,plain,
    ( ! [X0] :
        ( related(poset_of_lattice(sK10),X0,sK11)
        | ~ in(X0,sK9)
        | ~ element(X0,the_carrier(sK10)) )
    | ~ spl21_14
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(forward_demodulation,[],[f1337,f781]) ).

fof(f1337,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | related(poset_of_lattice(sK10),X0,sK11)
        | ~ in(X0,sK9) )
    | ~ spl21_14 ),
    inference(forward_demodulation,[],[f461,f586]) ).

fof(f461,plain,
    ( ! [X0] :
        ( related(poset_of_lattice(sK10),X0,cast_to_el_of_LattPOSet(sK10,sK11))
        | ~ in(X0,sK9)
        | ~ element(X0,the_carrier(poset_of_lattice(sK10))) )
    | ~ spl21_14 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl21_14
  <=> ! [X0] :
        ( ~ in(X0,sK9)
        | ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | related(poset_of_lattice(sK10),X0,cast_to_el_of_LattPOSet(sK10,sK11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).

fof(f1328,plain,
    ( ~ spl21_1
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl21_1
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1326,f288]) ).

fof(f1326,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | ~ spl21_1
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(forward_demodulation,[],[f1325,f781]) ).

fof(f1325,plain,
    ( ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | ~ spl21_1
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1324,f349]) ).

fof(f349,plain,
    ( latt_element_smaller(sK10,sK11,sK9)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1324,plain,
    ( ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | ~ latt_element_smaller(sK10,sK11,sK9)
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1323,f453]) ).

fof(f1323,plain,
    ( ~ rel_str(poset_of_lattice(sK10))
    | ~ latt_element_smaller(sK10,sK11,sK9)
    | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1322,f962]) ).

fof(f962,plain,
    ( ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,sK11)
    | spl21_2 ),
    inference(forward_demodulation,[],[f352,f586]) ).

fof(f352,plain,
    ( ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11))
    | spl21_2 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl21_2
  <=> relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f1322,plain,
    ( ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | relstr_set_smaller(poset_of_lattice(sK10),sK9,sK11)
    | ~ latt_element_smaller(sK10,sK11,sK9)
    | ~ rel_str(poset_of_lattice(sK10))
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1320,f288]) ).

fof(f1320,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | relstr_set_smaller(poset_of_lattice(sK10),sK9,sK11)
    | ~ latt_element_smaller(sK10,sK11,sK9)
    | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | ~ rel_str(poset_of_lattice(sK10))
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(resolution,[],[f1194,f293]) ).

fof(f293,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,sK13(X0,X1,X2),X1)
      | relstr_set_smaller(X0,X2,X1)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ! [X3] :
                  ( ~ element(X3,the_carrier(X0))
                  | ~ in(X3,X2)
                  | related(X0,X3,X1) )
              | ~ relstr_set_smaller(X0,X2,X1) )
            & ( relstr_set_smaller(X0,X2,X1)
              | ( element(sK13(X0,X1,X2),the_carrier(X0))
                & in(sK13(X0,X1,X2),X2)
                & ~ related(X0,sK13(X0,X1,X2),X1) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f202,f203]) ).

fof(f203,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( element(X4,the_carrier(X0))
          & in(X4,X2)
          & ~ related(X0,X4,X1) )
     => ( element(sK13(X0,X1,X2),the_carrier(X0))
        & in(sK13(X0,X1,X2),X2)
        & ~ related(X0,sK13(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ! [X3] :
                  ( ~ element(X3,the_carrier(X0))
                  | ~ in(X3,X2)
                  | related(X0,X3,X1) )
              | ~ relstr_set_smaller(X0,X2,X1) )
            & ( relstr_set_smaller(X0,X2,X1)
              | ? [X4] :
                  ( element(X4,the_carrier(X0))
                  & in(X4,X2)
                  & ~ related(X0,X4,X1) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(rectify,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ! [X3] :
                  ( ~ element(X3,the_carrier(X0))
                  | ~ in(X3,X2)
                  | related(X0,X3,X1) )
              | ~ relstr_set_smaller(X0,X2,X1) )
            & ( relstr_set_smaller(X0,X2,X1)
              | ? [X3] :
                  ( element(X3,the_carrier(X0))
                  & in(X3,X2)
                  & ~ related(X0,X3,X1) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ~ element(X3,the_carrier(X0))
                | ~ in(X3,X2)
                | related(X0,X3,X1) )
          <=> relstr_set_smaller(X0,X2,X1) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relstr_set_smaller(X0,X2,X1)
          <=> ! [X3] :
                ( related(X0,X3,X1)
                | ~ in(X3,X2)
                | ~ element(X3,the_carrier(X0)) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1,X2] :
          ( element(X1,the_carrier(X0))
         => ( relstr_set_smaller(X0,X2,X1)
          <=> ! [X3] :
                ( element(X3,the_carrier(X0))
               => ( in(X3,X2)
                 => related(X0,X3,X1) ) ) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X2,X1] :
          ( element(X2,the_carrier(X0))
         => ( relstr_set_smaller(X0,X1,X2)
          <=> ! [X3] :
                ( element(X3,the_carrier(X0))
               => ( in(X3,X1)
                 => related(X0,X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).

fof(f1194,plain,
    ( ! [X0] :
        ( related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ latt_element_smaller(sK10,X0,sK9)
        | ~ element(X0,the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_60
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1193,f1119]) ).

fof(f1119,plain,
    ( element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(sK10))
    | ~ spl21_60 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1118,plain,
    ( spl21_60
  <=> element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_60])]) ).

fof(f1193,plain,
    ( ! [X0] :
        ( ~ latt_element_smaller(sK10,X0,sK9)
        | ~ element(X0,the_carrier(sK10))
        | related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(sK10)) )
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_61 ),
    inference(forward_demodulation,[],[f1192,f781]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( ~ latt_element_smaller(sK10,X0,sK9)
        | related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ element(X0,the_carrier(sK10))
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10))) )
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_61 ),
    inference(duplicate_literal_removal,[],[f1191]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK10))
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10)))
        | ~ element(X0,the_carrier(sK10))
        | related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ latt_element_smaller(sK10,X0,sK9) )
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | ~ spl21_61 ),
    inference(forward_demodulation,[],[f1190,f781]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ latt_element_smaller(sK10,X0,sK9)
        | ~ element(X0,the_carrier(sK10))
        | ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10))) )
    | ~ spl21_12
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1189,f375]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( ~ latt_element_smaller(sK10,X0,sK9)
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10)))
        | related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ element(X0,the_carrier(sK10))
        | ~ reflexive_relstr(poset_of_lattice(sK10))
        | ~ element(X0,the_carrier(poset_of_lattice(sK10))) )
    | ~ spl21_12
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1188,f453]) ).

fof(f1188,plain,
    ( ! [X0] :
        ( related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ element(X0,the_carrier(sK10))
        | ~ rel_str(poset_of_lattice(sK10))
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10)))
        | ~ reflexive_relstr(poset_of_lattice(sK10))
        | ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | ~ latt_element_smaller(sK10,X0,sK9) )
    | ~ spl21_61 ),
    inference(subsumption_resolution,[],[f1176,f381]) ).

fof(f1176,plain,
    ( ! [X0] :
        ( ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(poset_of_lattice(sK10)))
        | empty_carrier(poset_of_lattice(sK10))
        | ~ latt_element_smaller(sK10,X0,sK9)
        | related(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X0)
        | ~ element(X0,the_carrier(sK10))
        | ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | ~ reflexive_relstr(poset_of_lattice(sK10))
        | ~ rel_str(poset_of_lattice(sK10)) )
    | ~ spl21_61 ),
    inference(resolution,[],[f1123,f303]) ).

fof(f303,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(X1,X0,X2)
      | ~ element(X0,the_carrier(X1))
      | related(X1,X0,X2)
      | empty_carrier(X1)
      | ~ element(X2,the_carrier(X1))
      | ~ reflexive_relstr(X1)
      | ~ rel_str(X1) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f1123,plain,
    ( ! [X3] :
        ( related_reflexive(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X3)
        | ~ latt_element_smaller(sK10,X3,sK9)
        | ~ element(X3,the_carrier(sK10)) )
    | ~ spl21_61 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1122,plain,
    ( spl21_61
  <=> ! [X3] :
        ( related_reflexive(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X3)
        | ~ element(X3,the_carrier(sK10))
        | ~ latt_element_smaller(sK10,X3,sK9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_61])]) ).

fof(f1136,plain,
    ( spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | spl21_60 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1135,plain,
    ( $false
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | spl21_60 ),
    inference(subsumption_resolution,[],[f1134,f288]) ).

fof(f1134,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | spl21_60 ),
    inference(subsumption_resolution,[],[f1125,f962]) ).

fof(f1125,plain,
    ( relstr_set_smaller(poset_of_lattice(sK10),sK9,sK11)
    | ~ element(sK11,the_carrier(sK10))
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29
    | spl21_60 ),
    inference(resolution,[],[f1120,f815]) ).

fof(f815,plain,
    ( ! [X2,X3] :
        ( element(sK13(poset_of_lattice(sK10),X2,X3),the_carrier(sK10))
        | ~ element(X2,the_carrier(sK10))
        | relstr_set_smaller(poset_of_lattice(sK10),X3,X2) )
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f807,f453]) ).

fof(f807,plain,
    ( ! [X2,X3] :
        ( element(sK13(poset_of_lattice(sK10),X2,X3),the_carrier(sK10))
        | ~ element(X2,the_carrier(sK10))
        | ~ rel_str(poset_of_lattice(sK10))
        | relstr_set_smaller(poset_of_lattice(sK10),X3,X2) )
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(superposition,[],[f295,f781]) ).

fof(f295,plain,
    ! [X2,X0,X1] :
      ( element(sK13(X0,X1,X2),the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | relstr_set_smaller(X0,X2,X1)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f1120,plain,
    ( ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(sK10))
    | spl21_60 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1124,plain,
    ( ~ spl21_60
    | spl21_61
    | spl21_2
    | ~ spl21_8
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(avatar_split_clause,[],[f1116,f571,f531,f452,f421,f351,f1122,f1118]) ).

fof(f421,plain,
    ( spl21_8
  <=> ! [X0,X1] :
        ( ~ below(sK10,X0,X1)
        | ~ element(X1,the_carrier(sK10))
        | below_refl(sK10,X0,X1)
        | ~ element(X0,the_carrier(sK10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).

fof(f1116,plain,
    ( ! [X3] :
        ( related_reflexive(poset_of_lattice(sK10),sK13(poset_of_lattice(sK10),sK11,sK9),X3)
        | ~ element(sK13(poset_of_lattice(sK10),sK11,sK9),the_carrier(sK10))
        | ~ latt_element_smaller(sK10,X3,sK9)
        | ~ element(X3,the_carrier(sK10)) )
    | spl21_2
    | ~ spl21_8
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(resolution,[],[f1012,f977]) ).

fof(f977,plain,
    ( in(sK13(poset_of_lattice(sK10),sK11,sK9),sK9)
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(subsumption_resolution,[],[f976,f288]) ).

fof(f976,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | in(sK13(poset_of_lattice(sK10),sK11,sK9),sK9)
    | spl21_2
    | ~ spl21_12
    | ~ spl21_26
    | ~ spl21_29 ),
    inference(forward_demodulation,[],[f975,f781]) ).

fof(f975,plain,
    ( in(sK13(poset_of_lattice(sK10),sK11,sK9),sK9)
    | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | spl21_2
    | ~ spl21_12 ),
    inference(subsumption_resolution,[],[f974,f453]) ).

fof(f974,plain,
    ( ~ rel_str(poset_of_lattice(sK10))
    | ~ element(sK11,the_carrier(poset_of_lattice(sK10)))
    | in(sK13(poset_of_lattice(sK10),sK11,sK9),sK9)
    | spl21_2 ),
    inference(resolution,[],[f962,f294]) ).

fof(f294,plain,
    ! [X2,X0,X1] :
      ( relstr_set_smaller(X0,X2,X1)
      | in(sK13(X0,X1,X2),X2)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f1012,plain,
    ( ! [X2,X3,X4] :
        ( ~ in(X3,X4)
        | ~ element(X2,the_carrier(sK10))
        | ~ element(X3,the_carrier(sK10))
        | ~ latt_element_smaller(sK10,X2,X4)
        | related_reflexive(poset_of_lattice(sK10),X3,X2) )
    | ~ spl21_8 ),
    inference(duplicate_literal_removal,[],[f1010]) ).

fof(f1010,plain,
    ( ! [X2,X3,X4] :
        ( ~ element(X2,the_carrier(sK10))
        | related_reflexive(poset_of_lattice(sK10),X3,X2)
        | ~ element(X3,the_carrier(sK10))
        | ~ element(X2,the_carrier(sK10))
        | ~ latt_element_smaller(sK10,X2,X4)
        | ~ in(X3,X4)
        | ~ element(X3,the_carrier(sK10)) )
    | ~ spl21_8 ),
    inference(resolution,[],[f901,f390]) ).

fof(f390,plain,
    ! [X2,X3,X4] :
      ( below(sK10,X2,X3)
      | ~ in(X2,X4)
      | ~ element(X3,the_carrier(sK10))
      | ~ element(X2,the_carrier(sK10))
      | ~ latt_element_smaller(sK10,X3,X4) ),
    inference(subsumption_resolution,[],[f389,f289]) ).

fof(f389,plain,
    ! [X2,X3,X4] :
      ( ~ element(X3,the_carrier(sK10))
      | ~ element(X2,the_carrier(sK10))
      | below(sK10,X2,X3)
      | ~ latt_element_smaller(sK10,X3,X4)
      | ~ in(X2,X4)
      | ~ latt_str(sK10) ),
    inference(resolution,[],[f290,f345]) ).

fof(f345,plain,
    ! [X2,X3,X0,X1] :
      ( empty_carrier(X0)
      | ~ latt_str(X0)
      | below(X0,X3,X1)
      | ~ latt_element_smaller(X0,X1,X2)
      | ~ element(X3,the_carrier(X0))
      | ~ in(X3,X2)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f901,plain,
    ( ! [X0,X1] :
        ( ~ below(sK10,X0,X1)
        | ~ element(X1,the_carrier(sK10))
        | ~ element(X0,the_carrier(sK10))
        | related_reflexive(poset_of_lattice(sK10),X0,X1) )
    | ~ spl21_8 ),
    inference(duplicate_literal_removal,[],[f900]) ).

fof(f900,plain,
    ( ! [X0,X1] :
        ( ~ element(X1,the_carrier(sK10))
        | ~ below(sK10,X0,X1)
        | ~ element(X0,the_carrier(sK10))
        | ~ element(X1,the_carrier(sK10))
        | related_reflexive(poset_of_lattice(sK10),X0,X1)
        | ~ element(X0,the_carrier(sK10)) )
    | ~ spl21_8 ),
    inference(resolution,[],[f422,f379]) ).

fof(f379,plain,
    ! [X2,X1] :
      ( ~ below_refl(sK10,X1,X2)
      | ~ element(X2,the_carrier(sK10))
      | related_reflexive(poset_of_lattice(sK10),X1,X2)
      | ~ element(X1,the_carrier(sK10)) ),
    inference(forward_subsumption_demodulation,[],[f378,f369]) ).

fof(f378,plain,
    ! [X2,X1] :
      ( ~ element(X1,the_carrier(sK10))
      | ~ below_refl(sK10,X1,X2)
      | related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X1),X2)
      | ~ element(X2,the_carrier(sK10)) ),
    inference(forward_subsumption_demodulation,[],[f377,f369]) ).

fof(f377,plain,
    ! [X2,X1] :
      ( ~ element(X1,the_carrier(sK10))
      | related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X1),cast_to_el_of_LattPOSet(sK10,X2))
      | ~ element(X2,the_carrier(sK10))
      | ~ below_refl(sK10,X1,X2) ),
    inference(subsumption_resolution,[],[f376,f289]) ).

fof(f376,plain,
    ! [X2,X1] :
      ( ~ element(X1,the_carrier(sK10))
      | ~ latt_str(sK10)
      | related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X1),cast_to_el_of_LattPOSet(sK10,X2))
      | ~ element(X2,the_carrier(sK10))
      | ~ below_refl(sK10,X1,X2) ),
    inference(subsumption_resolution,[],[f360,f290]) ).

fof(f360,plain,
    ! [X2,X1] :
      ( empty_carrier(sK10)
      | ~ element(X2,the_carrier(sK10))
      | ~ latt_str(sK10)
      | ~ below_refl(sK10,X1,X2)
      | related_reflexive(poset_of_lattice(sK10),cast_to_el_of_LattPOSet(sK10,X1),cast_to_el_of_LattPOSet(sK10,X2))
      | ~ element(X1,the_carrier(sK10)) ),
    inference(resolution,[],[f285,f265]) ).

fof(f265,plain,
    ! [X2,X0,X1] :
      ( ~ lattice(X0)
      | related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
      | ~ below_refl(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f422,plain,
    ( ! [X0,X1] :
        ( below_refl(sK10,X0,X1)
        | ~ element(X0,the_carrier(sK10))
        | ~ below(sK10,X0,X1)
        | ~ element(X1,the_carrier(sK10)) )
    | ~ spl21_8 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f965,plain,
    ( spl21_1
    | spl21_46 ),
    inference(avatar_split_clause,[],[f964,f942,f347]) ).

fof(f964,plain,
    ( latt_element_smaller(sK10,sK11,sK9)
    | spl21_46 ),
    inference(subsumption_resolution,[],[f963,f290]) ).

fof(f963,plain,
    ( empty_carrier(sK10)
    | latt_element_smaller(sK10,sK11,sK9)
    | spl21_46 ),
    inference(subsumption_resolution,[],[f957,f289]) ).

fof(f957,plain,
    ( ~ latt_str(sK10)
    | empty_carrier(sK10)
    | latt_element_smaller(sK10,sK11,sK9)
    | spl21_46 ),
    inference(subsumption_resolution,[],[f953,f288]) ).

fof(f953,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | ~ latt_str(sK10)
    | empty_carrier(sK10)
    | latt_element_smaller(sK10,sK11,sK9)
    | spl21_46 ),
    inference(resolution,[],[f944,f344]) ).

fof(f344,plain,
    ! [X2,X0,X1] :
      ( element(sK20(X0,X1,X2),the_carrier(X0))
      | ~ latt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | latt_element_smaller(X0,X1,X2) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f944,plain,
    ( ~ element(sK20(sK10,sK11,sK9),the_carrier(sK10))
    | spl21_46 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f689,plain,
    spl21_28,
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | spl21_28 ),
    inference(subsumption_resolution,[],[f687,f285]) ).

fof(f687,plain,
    ( ~ lattice(sK10)
    | spl21_28 ),
    inference(subsumption_resolution,[],[f686,f290]) ).

fof(f686,plain,
    ( empty_carrier(sK10)
    | ~ lattice(sK10)
    | spl21_28 ),
    inference(subsumption_resolution,[],[f684,f289]) ).

fof(f684,plain,
    ( ~ latt_str(sK10)
    | ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_28 ),
    inference(resolution,[],[f683,f256]) ).

fof(f256,plain,
    ! [X0] :
      ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0)
      | ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & reflexive(k2_lattice3(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & transitive(k2_lattice3(X0))
        & antisymmetric(k2_lattice3(X0)) ) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & reflexive(k2_lattice3(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & transitive(k2_lattice3(X0))
        & antisymmetric(k2_lattice3(X0)) )
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( latt_str(X0)
        & ~ empty_carrier(X0)
        & lattice(X0) )
     => ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & reflexive(k2_lattice3(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & transitive(k2_lattice3(X0))
        & antisymmetric(k2_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).

fof(f683,plain,
    ( ~ relation_of2_as_subset(k2_lattice3(sK10),the_carrier(sK10),the_carrier(sK10))
    | spl21_28 ),
    inference(resolution,[],[f569,f262]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X0,X2,X1)
      | ~ relation_of2_as_subset(X0,X2,X1) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X0,X2,X1)
        | ~ relation_of2(X0,X2,X1) )
      & ( relation_of2(X0,X2,X1)
        | ~ relation_of2_as_subset(X0,X2,X1) ) ),
    inference(rectify,[],[f179]) ).

fof(f179,plain,
    ! [X0,X2,X1] :
      ( ( relation_of2_as_subset(X0,X1,X2)
        | ~ relation_of2(X0,X1,X2) )
      & ( relation_of2(X0,X1,X2)
        | ~ relation_of2_as_subset(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X2,X1] :
      ( relation_of2_as_subset(X0,X1,X2)
    <=> relation_of2(X0,X1,X2) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X2,X0,X1] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f569,plain,
    ( ~ relation_of2(k2_lattice3(sK10),the_carrier(sK10),the_carrier(sK10))
    | spl21_28 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f567,plain,
    ( spl21_28
  <=> relation_of2(k2_lattice3(sK10),the_carrier(sK10),the_carrier(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_28])]) ).

fof(f631,plain,
    spl21_13,
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f630,plain,
    ( $false
    | spl21_13 ),
    inference(subsumption_resolution,[],[f629,f290]) ).

fof(f629,plain,
    ( empty_carrier(sK10)
    | spl21_13 ),
    inference(subsumption_resolution,[],[f628,f289]) ).

fof(f628,plain,
    ( ~ latt_str(sK10)
    | empty_carrier(sK10)
    | spl21_13 ),
    inference(subsumption_resolution,[],[f627,f285]) ).

fof(f627,plain,
    ( ~ lattice(sK10)
    | empty_carrier(sK10)
    | ~ latt_str(sK10)
    | spl21_13 ),
    inference(subsumption_resolution,[],[f555,f288]) ).

fof(f555,plain,
    ( ~ element(sK11,the_carrier(sK10))
    | empty_carrier(sK10)
    | ~ lattice(sK10)
    | ~ latt_str(sK10)
    | spl21_13 ),
    inference(resolution,[],[f458,f324]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(X0))
      | element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ! [X1,X0] :
      ( ~ element(X0,the_carrier(X1))
      | element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
      | empty_carrier(X1)
      | ~ lattice(X1)
      | ~ latt_str(X1) ),
    inference(flattening,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
      | ~ lattice(X1)
      | ~ latt_str(X1)
      | ~ element(X0,the_carrier(X1))
      | empty_carrier(X1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( lattice(X1)
        & latt_str(X1)
        & element(X0,the_carrier(X1))
        & ~ empty_carrier(X1) )
     => element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1))) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0] :
      ( ( ~ empty_carrier(X0)
        & element(X1,the_carrier(X0))
        & latt_str(X0)
        & lattice(X0) )
     => element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3) ).

fof(f458,plain,
    ( ~ element(cast_to_el_of_LattPOSet(sK10,sK11),the_carrier(poset_of_lattice(sK10)))
    | spl21_13 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl21_13
  <=> element(cast_to_el_of_LattPOSet(sK10,sK11),the_carrier(poset_of_lattice(sK10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).

fof(f605,plain,
    spl21_27,
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | spl21_27 ),
    inference(subsumption_resolution,[],[f603,f290]) ).

fof(f603,plain,
    ( empty_carrier(sK10)
    | spl21_27 ),
    inference(subsumption_resolution,[],[f602,f285]) ).

fof(f602,plain,
    ( ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_27 ),
    inference(subsumption_resolution,[],[f596,f289]) ).

fof(f596,plain,
    ( ~ latt_str(sK10)
    | ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_27 ),
    inference(resolution,[],[f537,f337]) ).

fof(f337,plain,
    ! [X0] :
      ( strict_rel_str(poset_of_lattice(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f537,plain,
    ( ~ strict_rel_str(poset_of_lattice(sK10))
    | spl21_27 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl21_27
  <=> strict_rel_str(poset_of_lattice(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).

fof(f573,plain,
    ( ~ spl21_28
    | spl21_29 ),
    inference(avatar_split_clause,[],[f556,f571,f567]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( the_carrier(sK10) = X0
      | ~ relation_of2(k2_lattice3(sK10),the_carrier(sK10),the_carrier(sK10))
      | rel_str_of(X0,X1) != poset_of_lattice(sK10) ),
    inference(superposition,[],[f231,f367]) ).

fof(f367,plain,
    rel_str_of(the_carrier(sK10),k2_lattice3(sK10)) = poset_of_lattice(sK10),
    inference(subsumption_resolution,[],[f366,f290]) ).

fof(f366,plain,
    ( rel_str_of(the_carrier(sK10),k2_lattice3(sK10)) = poset_of_lattice(sK10)
    | empty_carrier(sK10) ),
    inference(subsumption_resolution,[],[f362,f289]) ).

fof(f362,plain,
    ( ~ latt_str(sK10)
    | empty_carrier(sK10)
    | rel_str_of(the_carrier(sK10),k2_lattice3(sK10)) = poset_of_lattice(sK10) ),
    inference(resolution,[],[f285,f297]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(flattening,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
      | ~ lattice(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( lattice(X0)
        & latt_str(X0)
        & ~ empty_carrier(X0) )
     => poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).

fof(f231,plain,
    ! [X2,X3,X0,X1] :
      ( rel_str_of(X0,X1) != rel_str_of(X3,X2)
      | ~ relation_of2(X1,X0,X0)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ relation_of2(X1,X0,X0)
      | ! [X2,X3] :
          ( rel_str_of(X0,X1) != rel_str_of(X3,X2)
          | ( X1 = X2
            & X0 = X3 ) ) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( relation_of2(X1,X0,X0)
     => ! [X3,X2] :
          ( rel_str_of(X0,X1) = rel_str_of(X3,X2)
         => ( X1 = X2
            & X0 = X3 ) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1] :
      ( relation_of2(X1,X0,X0)
     => ! [X3,X2] :
          ( rel_str_of(X0,X1) = rel_str_of(X2,X3)
         => ( X1 = X3
            & X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).

fof(f538,plain,
    ( spl21_26
    | ~ spl21_27
    | ~ spl21_12 ),
    inference(avatar_split_clause,[],[f529,f452,f535,f531]) ).

fof(f529,plain,
    ( ~ strict_rel_str(poset_of_lattice(sK10))
    | rel_str_of(the_carrier(poset_of_lattice(sK10)),the_InternalRel(poset_of_lattice(sK10))) = poset_of_lattice(sK10)
    | ~ spl21_12 ),
    inference(resolution,[],[f453,f270]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ~ strict_rel_str(X0)
      | rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ strict_rel_str(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ strict_rel_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( strict_rel_str(X0)
       => rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).

fof(f520,plain,
    spl21_12,
    inference(avatar_contradiction_clause,[],[f519]) ).

fof(f519,plain,
    ( $false
    | spl21_12 ),
    inference(subsumption_resolution,[],[f518,f289]) ).

fof(f518,plain,
    ( ~ latt_str(sK10)
    | spl21_12 ),
    inference(subsumption_resolution,[],[f517,f290]) ).

fof(f517,plain,
    ( empty_carrier(sK10)
    | ~ latt_str(sK10)
    | spl21_12 ),
    inference(subsumption_resolution,[],[f516,f285]) ).

fof(f516,plain,
    ( ~ lattice(sK10)
    | empty_carrier(sK10)
    | ~ latt_str(sK10)
    | spl21_12 ),
    inference(resolution,[],[f454,f237]) ).

fof(f237,plain,
    ! [X0] :
      ( rel_str(poset_of_lattice(X0))
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f454,plain,
    ( ~ rel_str(poset_of_lattice(sK10))
    | spl21_12 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f498,plain,
    spl21_7,
    inference(avatar_contradiction_clause,[],[f497]) ).

fof(f497,plain,
    ( $false
    | spl21_7 ),
    inference(subsumption_resolution,[],[f496,f290]) ).

fof(f496,plain,
    ( empty_carrier(sK10)
    | spl21_7 ),
    inference(subsumption_resolution,[],[f495,f285]) ).

fof(f495,plain,
    ( ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_7 ),
    inference(subsumption_resolution,[],[f494,f289]) ).

fof(f494,plain,
    ( ~ latt_str(sK10)
    | ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_7 ),
    inference(resolution,[],[f419,f279]) ).

fof(f279,plain,
    ! [X0] :
      ( meet_commutative(X0)
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ( join_commutative(X0)
        & join_absorbing(X0)
        & meet_commutative(X0)
        & meet_associative(X0)
        & meet_absorbing(X0)
        & ~ empty_carrier(X0)
        & join_associative(X0) )
      | ~ lattice(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( join_commutative(X0)
        & join_absorbing(X0)
        & meet_commutative(X0)
        & meet_associative(X0)
        & meet_absorbing(X0)
        & ~ empty_carrier(X0)
        & join_associative(X0) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( latt_str(X0)
     => ( ( ~ empty_carrier(X0)
          & lattice(X0) )
       => ( join_commutative(X0)
          & join_absorbing(X0)
          & meet_commutative(X0)
          & meet_associative(X0)
          & meet_absorbing(X0)
          & ~ empty_carrier(X0)
          & join_associative(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).

fof(f419,plain,
    ( ~ meet_commutative(sK10)
    | spl21_7 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl21_7
  <=> meet_commutative(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).

fof(f462,plain,
    ( ~ spl21_12
    | ~ spl21_13
    | spl21_14
    | ~ spl21_2 ),
    inference(avatar_split_clause,[],[f450,f351,f460,f456,f452]) ).

fof(f450,plain,
    ( ! [X0] :
        ( ~ in(X0,sK9)
        | related(poset_of_lattice(sK10),X0,cast_to_el_of_LattPOSet(sK10,sK11))
        | ~ element(cast_to_el_of_LattPOSet(sK10,sK11),the_carrier(poset_of_lattice(sK10)))
        | ~ element(X0,the_carrier(poset_of_lattice(sK10)))
        | ~ rel_str(poset_of_lattice(sK10)) )
    | ~ spl21_2 ),
    inference(resolution,[],[f353,f296]) ).

fof(f296,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relstr_set_smaller(X0,X2,X1)
      | ~ in(X3,X2)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | related(X0,X3,X1)
      | ~ element(X3,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f353,plain,
    ( relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11))
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f445,plain,
    spl21_6,
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | spl21_6 ),
    inference(subsumption_resolution,[],[f443,f290]) ).

fof(f443,plain,
    ( empty_carrier(sK10)
    | spl21_6 ),
    inference(subsumption_resolution,[],[f442,f285]) ).

fof(f442,plain,
    ( ~ lattice(sK10)
    | empty_carrier(sK10)
    | spl21_6 ),
    inference(subsumption_resolution,[],[f441,f289]) ).

fof(f441,plain,
    ( ~ latt_str(sK10)
    | empty_carrier(sK10)
    | ~ lattice(sK10)
    | spl21_6 ),
    inference(resolution,[],[f415,f280]) ).

fof(f280,plain,
    ! [X0] :
      ( join_absorbing(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f415,plain,
    ( ~ join_absorbing(sK10)
    | spl21_6 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl21_6
  <=> join_absorbing(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).

fof(f429,plain,
    ( ~ spl21_6
    | spl21_9
    | ~ spl21_7 ),
    inference(avatar_split_clause,[],[f425,f417,f427,f413]) ).

fof(f425,plain,
    ! [X2,X3] :
      ( ~ meet_commutative(sK10)
      | below(sK10,X2,X3)
      | ~ element(X3,the_carrier(sK10))
      | ~ below_refl(sK10,X2,X3)
      | ~ element(X2,the_carrier(sK10))
      | ~ join_absorbing(sK10) ),
    inference(subsumption_resolution,[],[f424,f289]) ).

fof(f424,plain,
    ! [X2,X3] :
      ( ~ latt_str(sK10)
      | ~ element(X3,the_carrier(sK10))
      | below(sK10,X2,X3)
      | ~ join_absorbing(sK10)
      | ~ below_refl(sK10,X2,X3)
      | ~ meet_commutative(sK10)
      | ~ element(X2,the_carrier(sK10)) ),
    inference(subsumption_resolution,[],[f407,f290]) ).

fof(f407,plain,
    ! [X2,X3] :
      ( ~ join_absorbing(sK10)
      | ~ below_refl(sK10,X2,X3)
      | empty_carrier(sK10)
      | below(sK10,X2,X3)
      | ~ element(X2,the_carrier(sK10))
      | ~ element(X3,the_carrier(sK10))
      | ~ latt_str(sK10)
      | ~ meet_commutative(sK10) ),
    inference(resolution,[],[f371,f261]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( ~ meet_absorbing(X2)
      | ~ meet_commutative(X2)
      | ~ join_absorbing(X2)
      | ~ element(X0,the_carrier(X2))
      | ~ latt_str(X2)
      | ~ element(X1,the_carrier(X2))
      | ~ below_refl(X2,X0,X1)
      | empty_carrier(X2)
      | below(X2,X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( empty_carrier(X2)
      | ~ join_absorbing(X2)
      | ~ latt_str(X2)
      | ~ meet_absorbing(X2)
      | ~ meet_commutative(X2)
      | ~ element(X1,the_carrier(X2))
      | ( ( below(X2,X0,X1)
          | ~ below_refl(X2,X0,X1) )
        & ( below_refl(X2,X0,X1)
          | ~ below(X2,X0,X1) ) )
      | ~ element(X0,the_carrier(X2)) ),
    inference(rectify,[],[f177]) ).

fof(f177,plain,
    ! [X1,X2,X0] :
      ( empty_carrier(X0)
      | ~ join_absorbing(X0)
      | ~ latt_str(X0)
      | ~ meet_absorbing(X0)
      | ~ meet_commutative(X0)
      | ~ element(X2,the_carrier(X0))
      | ( ( below(X0,X1,X2)
          | ~ below_refl(X0,X1,X2) )
        & ( below_refl(X0,X1,X2)
          | ~ below(X0,X1,X2) ) )
      | ~ element(X1,the_carrier(X0)) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X1,X2,X0] :
      ( empty_carrier(X0)
      | ~ join_absorbing(X0)
      | ~ latt_str(X0)
      | ~ meet_absorbing(X0)
      | ~ meet_commutative(X0)
      | ~ element(X2,the_carrier(X0))
      | ( below(X0,X1,X2)
      <=> below_refl(X0,X1,X2) )
      | ~ element(X1,the_carrier(X0)) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ( below(X0,X1,X2)
      <=> below_refl(X0,X1,X2) )
      | empty_carrier(X0)
      | ~ meet_absorbing(X0)
      | ~ join_absorbing(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ meet_commutative(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X2] :
      ( ( ~ empty_carrier(X0)
        & meet_absorbing(X0)
        & join_absorbing(X0)
        & element(X1,the_carrier(X0))
        & meet_commutative(X0)
        & element(X2,the_carrier(X0))
        & latt_str(X0) )
     => ( below(X0,X1,X2)
      <=> below_refl(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).

fof(f371,plain,
    meet_absorbing(sK10),
    inference(subsumption_resolution,[],[f370,f290]) ).

fof(f370,plain,
    ( empty_carrier(sK10)
    | meet_absorbing(sK10) ),
    inference(subsumption_resolution,[],[f361,f289]) ).

fof(f361,plain,
    ( ~ latt_str(sK10)
    | empty_carrier(sK10)
    | meet_absorbing(sK10) ),
    inference(resolution,[],[f285,f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | meet_absorbing(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f423,plain,
    ( ~ spl21_6
    | ~ spl21_7
    | spl21_8 ),
    inference(avatar_split_clause,[],[f411,f421,f417,f413]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( ~ below(sK10,X0,X1)
      | ~ meet_commutative(sK10)
      | ~ element(X0,the_carrier(sK10))
      | below_refl(sK10,X0,X1)
      | ~ element(X1,the_carrier(sK10))
      | ~ join_absorbing(sK10) ),
    inference(subsumption_resolution,[],[f410,f289]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( ~ join_absorbing(sK10)
      | ~ below(sK10,X0,X1)
      | ~ meet_commutative(sK10)
      | below_refl(sK10,X0,X1)
      | ~ element(X0,the_carrier(sK10))
      | ~ element(X1,the_carrier(sK10))
      | ~ latt_str(sK10) ),
    inference(subsumption_resolution,[],[f406,f290]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( empty_carrier(sK10)
      | ~ join_absorbing(sK10)
      | below_refl(sK10,X0,X1)
      | ~ element(X1,the_carrier(sK10))
      | ~ meet_commutative(sK10)
      | ~ below(sK10,X0,X1)
      | ~ element(X0,the_carrier(sK10))
      | ~ latt_str(sK10) ),
    inference(resolution,[],[f371,f260]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( ~ meet_absorbing(X2)
      | below_refl(X2,X0,X1)
      | ~ element(X0,the_carrier(X2))
      | ~ meet_commutative(X2)
      | ~ latt_str(X2)
      | ~ join_absorbing(X2)
      | ~ below(X2,X0,X1)
      | empty_carrier(X2)
      | ~ element(X1,the_carrier(X2)) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f355,plain,
    ( ~ spl21_2
    | ~ spl21_1 ),
    inference(avatar_split_clause,[],[f287,f347,f351]) ).

fof(f287,plain,
    ( ~ latt_element_smaller(sK10,sK11,sK9)
    | ~ relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f354,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f286,f351,f347]) ).

fof(f286,plain,
    ( relstr_set_smaller(poset_of_lattice(sK10),sK9,cast_to_el_of_LattPOSet(sK10,sK11))
    | latt_element_smaller(sK10,sK11,sK9) ),
    inference(cnf_transformation,[],[f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 15:31:06 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.48  % (21172)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49  % (21188)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49  % (21180)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (21180)Instruction limit reached!
% 0.20/0.50  % (21180)------------------------------
% 0.20/0.50  % (21180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (21168)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (21180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (21180)Termination reason: Unknown
% 0.20/0.51  % (21180)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (21180)Memory used [KB]: 6140
% 0.20/0.51  % (21180)Time elapsed: 0.108 s
% 0.20/0.51  % (21180)Instructions burned: 7 (million)
% 0.20/0.51  % (21180)------------------------------
% 0.20/0.51  % (21180)------------------------------
% 0.20/0.52  % (21192)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (21179)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (21179)Instruction limit reached!
% 0.20/0.52  % (21179)------------------------------
% 0.20/0.52  % (21179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21179)Termination reason: Unknown
% 0.20/0.52  % (21179)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (21179)Memory used [KB]: 1535
% 0.20/0.52  % (21179)Time elapsed: 0.003 s
% 0.20/0.52  % (21179)Instructions burned: 4 (million)
% 0.20/0.52  % (21179)------------------------------
% 0.20/0.52  % (21179)------------------------------
% 0.20/0.52  % (21176)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (21173)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (21170)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (21167)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (21169)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (21166)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (21167)Instruction limit reached!
% 0.20/0.53  % (21167)------------------------------
% 0.20/0.53  % (21167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21167)Termination reason: Unknown
% 0.20/0.53  % (21167)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (21167)Memory used [KB]: 1663
% 0.20/0.53  % (21167)Time elapsed: 0.003 s
% 0.20/0.53  % (21167)Instructions burned: 4 (million)
% 0.20/0.53  % (21167)------------------------------
% 0.20/0.53  % (21167)------------------------------
% 0.20/0.53  % (21187)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53  % (21172)Instruction limit reached!
% 0.20/0.53  % (21172)------------------------------
% 0.20/0.53  % (21172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21172)Termination reason: Unknown
% 0.20/0.53  % (21172)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (21172)Memory used [KB]: 6780
% 0.20/0.53  % (21172)Time elapsed: 0.126 s
% 0.20/0.53  % (21172)Instructions burned: 40 (million)
% 0.20/0.53  % (21172)------------------------------
% 0.20/0.53  % (21172)------------------------------
% 0.20/0.53  % (21178)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (21183)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (21177)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54  % (21171)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (21168)Refutation not found, incomplete strategy% (21168)------------------------------
% 0.20/0.54  % (21168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (21168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (21168)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (21168)Memory used [KB]: 6396
% 0.20/0.54  % (21168)Time elapsed: 0.125 s
% 0.20/0.54  % (21168)Instructions burned: 17 (million)
% 0.20/0.54  % (21168)------------------------------
% 0.20/0.54  % (21168)------------------------------
% 0.20/0.54  % (21175)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.50/0.54  % (21188)Instruction limit reached!
% 1.50/0.54  % (21188)------------------------------
% 1.50/0.54  % (21188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54  % (21174)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.50/0.54  % (21188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54  % (21188)Termination reason: Unknown
% 1.50/0.54  % (21188)Termination phase: Saturation
% 1.50/0.54  
% 1.50/0.54  % (21188)Memory used [KB]: 2174
% 1.50/0.54  % (21188)Time elapsed: 0.140 s
% 1.50/0.54  % (21188)Instructions burned: 45 (million)
% 1.50/0.54  % (21188)------------------------------
% 1.50/0.54  % (21188)------------------------------
% 1.50/0.54  % (21194)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.50/0.54  % (21176)Instruction limit reached!
% 1.50/0.54  % (21176)------------------------------
% 1.50/0.54  % (21176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54  % (21176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54  % (21176)Termination reason: Unknown
% 1.50/0.54  % (21176)Termination phase: Saturation
% 1.50/0.54  
% 1.50/0.54  % (21176)Memory used [KB]: 6268
% 1.50/0.54  % (21176)Time elapsed: 0.151 s
% 1.50/0.54  % (21176)Instructions burned: 8 (million)
% 1.50/0.54  % (21176)------------------------------
% 1.50/0.54  % (21176)------------------------------
% 1.50/0.55  % (21165)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.50/0.55  % (21182)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.55  % (21193)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.50/0.55  % (21191)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.55  % (21182)Instruction limit reached!
% 1.50/0.55  % (21182)------------------------------
% 1.50/0.55  % (21182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21182)Termination reason: Unknown
% 1.50/0.55  % (21182)Termination phase: Preprocessing 3
% 1.50/0.55  
% 1.50/0.55  % (21182)Memory used [KB]: 1535
% 1.50/0.55  % (21182)Time elapsed: 0.003 s
% 1.50/0.55  % (21182)Instructions burned: 3 (million)
% 1.50/0.55  % (21182)------------------------------
% 1.50/0.55  % (21182)------------------------------
% 1.50/0.55  % (21184)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.50/0.55  % (21185)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.50/0.55  % (21193)Instruction limit reached!
% 1.50/0.55  % (21193)------------------------------
% 1.50/0.55  % (21193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21193)Termination reason: Unknown
% 1.50/0.55  % (21193)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (21193)Memory used [KB]: 6268
% 1.50/0.55  % (21193)Time elapsed: 0.150 s
% 1.50/0.55  % (21193)Instructions burned: 9 (million)
% 1.50/0.55  % (21193)------------------------------
% 1.50/0.55  % (21193)------------------------------
% 1.50/0.55  % (21184)Refutation not found, incomplete strategy% (21184)------------------------------
% 1.50/0.55  % (21184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21184)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55  
% 1.50/0.55  % (21184)Memory used [KB]: 6140
% 1.50/0.55  % (21184)Time elapsed: 0.128 s
% 1.50/0.55  % (21184)Instructions burned: 4 (million)
% 1.50/0.55  % (21184)------------------------------
% 1.50/0.55  % (21184)------------------------------
% 1.50/0.55  % (21170)Instruction limit reached!
% 1.50/0.55  % (21170)------------------------------
% 1.50/0.55  % (21170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21170)Termination reason: Unknown
% 1.50/0.55  % (21170)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (21170)Memory used [KB]: 1791
% 1.50/0.55  % (21170)Time elapsed: 0.137 s
% 1.50/0.55  % (21170)Instructions burned: 16 (million)
% 1.50/0.55  % (21170)------------------------------
% 1.50/0.55  % (21170)------------------------------
% 1.50/0.55  % (21169)Instruction limit reached!
% 1.50/0.55  % (21169)------------------------------
% 1.50/0.55  % (21169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21169)Termination reason: Unknown
% 1.50/0.55  % (21169)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (21169)Memory used [KB]: 6268
% 1.50/0.55  % (21169)Time elapsed: 0.137 s
% 1.50/0.55  % (21169)Instructions burned: 15 (million)
% 1.50/0.55  % (21169)------------------------------
% 1.50/0.55  % (21169)------------------------------
% 1.50/0.55  % (21186)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.55  % (21166)Refutation not found, incomplete strategy% (21166)------------------------------
% 1.50/0.55  % (21166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21166)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55  
% 1.50/0.55  % (21166)Memory used [KB]: 6268
% 1.50/0.55  % (21166)Time elapsed: 0.159 s
% 1.50/0.55  % (21189)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55  % (21166)Instructions burned: 12 (million)
% 1.50/0.55  % (21166)------------------------------
% 1.50/0.55  % (21166)------------------------------
% 1.50/0.55  % (21183)Instruction limit reached!
% 1.50/0.55  % (21183)------------------------------
% 1.50/0.55  % (21183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (21183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (21183)Termination reason: Unknown
% 1.50/0.55  % (21183)Termination phase: shuffling
% 1.50/0.55  
% 1.50/0.55  % (21183)Memory used [KB]: 1535
% 1.50/0.55  % (21183)Time elapsed: 0.002 s
% 1.50/0.55  % (21183)Instructions burned: 3 (million)
% 1.50/0.55  % (21183)------------------------------
% 1.50/0.55  % (21183)------------------------------
% 1.50/0.56  % (21177)Instruction limit reached!
% 1.50/0.56  % (21177)------------------------------
% 1.50/0.56  % (21177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (21190)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.50/0.56  % (21181)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.78/0.56  % (21178)Refutation not found, incomplete strategy% (21178)------------------------------
% 1.78/0.56  % (21178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.56  % (21192)Instruction limit reached!
% 1.78/0.56  % (21192)------------------------------
% 1.78/0.56  % (21192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.57  % (21175)Instruction limit reached!
% 1.78/0.57  % (21175)------------------------------
% 1.78/0.57  % (21175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.57  % (21175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.57  % (21175)Termination reason: Unknown
% 1.78/0.57  % (21175)Termination phase: Saturation
% 1.78/0.57  
% 1.78/0.57  % (21175)Memory used [KB]: 6268
% 1.78/0.57  % (21175)Time elapsed: 0.158 s
% 1.78/0.57  % (21175)Instructions burned: 12 (million)
% 1.78/0.57  % (21175)------------------------------
% 1.78/0.57  % (21175)------------------------------
% 1.78/0.57  % (21177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.57  % (21177)Termination reason: Unknown
% 1.78/0.57  % (21177)Termination phase: Saturation
% 1.78/0.57  
% 1.78/0.57  % (21177)Memory used [KB]: 1918
% 1.78/0.57  % (21177)Time elapsed: 0.168 s
% 1.78/0.57  % (21177)Instructions burned: 16 (million)
% 1.78/0.57  % (21177)------------------------------
% 1.78/0.57  % (21177)------------------------------
% 1.78/0.58  % (21178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.58  % (21178)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.58  
% 1.78/0.58  % (21178)Memory used [KB]: 6268
% 1.78/0.58  % (21178)Time elapsed: 0.178 s
% 1.78/0.58  % (21178)Instructions burned: 12 (million)
% 1.78/0.58  % (21178)------------------------------
% 1.78/0.58  % (21178)------------------------------
% 1.78/0.58  % (21192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.58  % (21192)Termination reason: Unknown
% 1.78/0.58  % (21192)Termination phase: Saturation
% 1.78/0.58  
% 1.78/0.58  % (21192)Memory used [KB]: 6652
% 1.78/0.58  % (21192)Time elapsed: 0.148 s
% 1.78/0.58  % (21192)Instructions burned: 25 (million)
% 1.78/0.58  % (21192)------------------------------
% 1.78/0.58  % (21192)------------------------------
% 1.78/0.59  % (21194)Instruction limit reached!
% 1.78/0.59  % (21194)------------------------------
% 1.78/0.59  % (21194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (21174)Instruction limit reached!
% 1.78/0.59  % (21174)------------------------------
% 1.78/0.59  % (21174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (21185)Instruction limit reached!
% 1.78/0.61  % (21185)------------------------------
% 1.78/0.61  % (21185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (21185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (21185)Termination reason: Unknown
% 1.78/0.61  % (21185)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (21185)Memory used [KB]: 6524
% 1.78/0.61  % (21185)Time elapsed: 0.193 s
% 1.78/0.61  % (21185)Instructions burned: 31 (million)
% 1.78/0.61  % (21185)------------------------------
% 1.78/0.61  % (21185)------------------------------
% 1.78/0.61  % (21194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (21194)Termination reason: Unknown
% 1.78/0.61  % (21194)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (21194)Memory used [KB]: 6396
% 1.78/0.61  % (21194)Time elapsed: 0.196 s
% 1.78/0.61  % (21194)Instructions burned: 25 (million)
% 1.78/0.61  % (21194)------------------------------
% 1.78/0.61  % (21194)------------------------------
% 1.78/0.61  % (21171)Instruction limit reached!
% 1.78/0.61  % (21171)------------------------------
% 1.78/0.61  % (21171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (21171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (21171)Termination reason: Unknown
% 1.78/0.61  % (21171)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (21171)Memory used [KB]: 6524
% 1.78/0.61  % (21171)Time elapsed: 0.179 s
% 1.78/0.61  % (21171)Instructions burned: 39 (million)
% 1.78/0.61  % (21171)------------------------------
% 1.78/0.61  % (21171)------------------------------
% 1.78/0.61  % (21174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (21174)Termination reason: Unknown
% 1.78/0.61  % (21174)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (21174)Memory used [KB]: 6780
% 1.78/0.61  % (21174)Time elapsed: 0.199 s
% 1.78/0.61  % (21174)Instructions burned: 33 (million)
% 1.78/0.61  % (21174)------------------------------
% 1.78/0.61  % (21174)------------------------------
% 1.78/0.61  % (21173)Instruction limit reached!
% 1.78/0.61  % (21173)------------------------------
% 1.78/0.61  % (21173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (21173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61  % (21173)Termination reason: Unknown
% 1.78/0.61  % (21173)Termination phase: Saturation
% 1.78/0.61  
% 1.78/0.61  % (21173)Memory used [KB]: 6908
% 1.78/0.61  % (21173)Time elapsed: 0.192 s
% 1.78/0.61  % (21173)Instructions burned: 49 (million)
% 1.78/0.61  % (21173)------------------------------
% 1.78/0.61  % (21173)------------------------------
% 1.78/0.63  % (21189)Instruction limit reached!
% 1.78/0.63  % (21189)------------------------------
% 1.78/0.63  % (21189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63  % (21181)Instruction limit reached!
% 1.78/0.63  % (21181)------------------------------
% 1.78/0.63  % (21181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64  % (21198)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.08/0.64  % (21191)First to succeed.
% 2.08/0.64  % (21189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64  % (21189)Termination reason: Unknown
% 2.08/0.64  % (21189)Termination phase: Saturation
% 2.08/0.64  
% 2.08/0.64  % (21189)Memory used [KB]: 6652
% 2.08/0.64  % (21189)Time elapsed: 0.225 s
% 2.08/0.64  % (21189)Instructions burned: 51 (million)
% 2.08/0.64  % (21189)------------------------------
% 2.08/0.64  % (21189)------------------------------
% 2.08/0.64  % (21191)Refutation found. Thanks to Tanya!
% 2.08/0.64  % SZS status Theorem for theBenchmark
% 2.08/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.65  % (21191)------------------------------
% 2.08/0.65  % (21191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65  % (21191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65  % (21191)Termination reason: Refutation
% 2.08/0.65  
% 2.08/0.65  % (21191)Memory used [KB]: 7291
% 2.08/0.65  % (21191)Time elapsed: 0.229 s
% 2.08/0.65  % (21191)Instructions burned: 46 (million)
% 2.08/0.65  % (21191)------------------------------
% 2.08/0.65  % (21191)------------------------------
% 2.08/0.65  % (21164)Success in time 0.29 s
%------------------------------------------------------------------------------