TSTP Solution File: SET750+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET750+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 : Sun May  5 09:08:17 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  177 (   3 unt;   0 def)
%            Number of atoms       :  942 (   0 equ)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives : 1233 ( 468   ~; 560   |; 164   &)
%                                         (  27 <=>;  12  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   6 prp; 0-5 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-5 aty)
%            Number of variables   :  468 ( 415   !;  53   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f293,plain,
    $false,
    inference(avatar_sat_refutation,[],[f133,f134,f135,f225,f247,f279,f280,f281,f292]) ).

fof(f292,plain,
    ( spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(subsumption_resolution,[],[f290,f255]) ).

fof(f255,plain,
    ( apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1 ),
    inference(resolution,[],[f248,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | apply(sK2,sK18(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3)) ),
    inference(subsumption_resolution,[],[f143,f75]) ).

fof(f75,plain,
    maps(sK2,sK3,sK4),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
      | ~ increasing(sK2,sK3,sK5,sK4,sK6)
      | ~ isomorphism(sK2,sK3,sK5,sK4,sK6) )
    & ( ( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
        & increasing(sK2,sK3,sK5,sK4,sK6) )
      | isomorphism(sK2,sK3,sK5,sK4,sK6) )
    & one_to_one(sK2,sK3,sK4)
    & maps(sK2,sK3,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f51,f52]) ).

fof(f52,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ( ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
          | ~ increasing(X0,X1,X3,X2,X4)
          | ~ isomorphism(X0,X1,X3,X2,X4) )
        & ( ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
            & increasing(X0,X1,X3,X2,X4) )
          | isomorphism(X0,X1,X3,X2,X4) )
        & one_to_one(X0,X1,X2)
        & maps(X0,X1,X2) )
   => ( ( ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
        | ~ increasing(sK2,sK3,sK5,sK4,sK6)
        | ~ isomorphism(sK2,sK3,sK5,sK4,sK6) )
      & ( ( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
          & increasing(sK2,sK3,sK5,sK4,sK6) )
        | isomorphism(sK2,sK3,sK5,sK4,sK6) )
      & one_to_one(sK2,sK3,sK4)
      & maps(sK2,sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
        | ~ increasing(X0,X1,X3,X2,X4)
        | ~ isomorphism(X0,X1,X3,X2,X4) )
      & ( ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
          & increasing(X0,X1,X3,X2,X4) )
        | isomorphism(X0,X1,X3,X2,X4) )
      & one_to_one(X0,X1,X2)
      & maps(X0,X1,X2) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
        | ~ increasing(X0,X1,X3,X2,X4)
        | ~ isomorphism(X0,X1,X3,X2,X4) )
      & ( ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
          & increasing(X0,X1,X3,X2,X4) )
        | isomorphism(X0,X1,X3,X2,X4) )
      & one_to_one(X0,X1,X2)
      & maps(X0,X1,X2) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( isomorphism(X0,X1,X3,X2,X4)
      <~> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
          & increasing(X0,X1,X3,X2,X4) ) )
      & one_to_one(X0,X1,X2)
      & maps(X0,X1,X2) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ( isomorphism(X0,X1,X3,X2,X4)
      <~> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
          & increasing(X0,X1,X3,X2,X4) ) )
      & one_to_one(X0,X1,X2)
      & maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( one_to_one(X0,X1,X2)
          & maps(X0,X1,X2) )
       => ( isomorphism(X0,X1,X3,X2,X4)
        <=> ( increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
            & increasing(X0,X1,X3,X2,X4) ) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X0,X1,X14,X15] :
        ( ( one_to_one(X5,X0,X1)
          & maps(X5,X0,X1) )
       => ( isomorphism(X5,X0,X14,X1,X15)
        <=> ( increasing(inverse_function(X5,X0,X1),X1,X15,X0,X14)
            & increasing(X5,X0,X14,X1,X15) ) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X5,X0,X1,X14,X15] :
      ( ( one_to_one(X5,X0,X1)
        & maps(X5,X0,X1) )
     => ( isomorphism(X5,X0,X14,X1,X15)
      <=> ( increasing(inverse_function(X5,X0,X1),X1,X15,X0,X14)
          & increasing(X5,X0,X14,X1,X15) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jxgeTLQZMU/Vampire---4.8_8963',thII41) ).

fof(f143,plain,
    ! [X0,X1] :
      ( apply(sK2,sK18(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3))
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f112]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | apply(X2,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( sP1(X0,X1,X2,X3,X4)
        | ( ( ~ apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
            | ~ apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4)) )
          & ( apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
            | apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4)) )
          & apply(X2,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
          & apply(X2,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
          & member(sK19(X0,X1,X2,X3,X4),X3)
          & member(sK18(X0,X1,X2,X3,X4),X4)
          & member(sK17(X0,X1,X2,X3,X4),X3)
          & member(sK16(X0,X1,X2,X3,X4),X4) )
        | ~ one_to_one(X2,X4,X3)
        | ~ maps(X2,X4,X3) )
      & ( ( ! [X9,X10,X11,X12] :
              ( ( ( apply(X1,X9,X11)
                  | ~ apply(X0,X10,X12) )
                & ( apply(X0,X10,X12)
                  | ~ apply(X1,X9,X11) ) )
              | ~ apply(X2,X11,X12)
              | ~ apply(X2,X9,X10)
              | ~ member(X12,X3)
              | ~ member(X11,X4)
              | ~ member(X10,X3)
              | ~ member(X9,X4) )
          & one_to_one(X2,X4,X3)
          & maps(X2,X4,X3) )
        | ~ sP1(X0,X1,X2,X3,X4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f71,f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6,X7,X8] :
          ( ( ~ apply(X0,X6,X8)
            | ~ apply(X1,X5,X7) )
          & ( apply(X0,X6,X8)
            | apply(X1,X5,X7) )
          & apply(X2,X7,X8)
          & apply(X2,X5,X6)
          & member(X8,X3)
          & member(X7,X4)
          & member(X6,X3)
          & member(X5,X4) )
     => ( ( ~ apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
          | ~ apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4)) )
        & ( apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
          | apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4)) )
        & apply(X2,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
        & apply(X2,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
        & member(sK19(X0,X1,X2,X3,X4),X3)
        & member(sK18(X0,X1,X2,X3,X4),X4)
        & member(sK17(X0,X1,X2,X3,X4),X3)
        & member(sK16(X0,X1,X2,X3,X4),X4) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( sP1(X0,X1,X2,X3,X4)
        | ? [X5,X6,X7,X8] :
            ( ( ~ apply(X0,X6,X8)
              | ~ apply(X1,X5,X7) )
            & ( apply(X0,X6,X8)
              | apply(X1,X5,X7) )
            & apply(X2,X7,X8)
            & apply(X2,X5,X6)
            & member(X8,X3)
            & member(X7,X4)
            & member(X6,X3)
            & member(X5,X4) )
        | ~ one_to_one(X2,X4,X3)
        | ~ maps(X2,X4,X3) )
      & ( ( ! [X9,X10,X11,X12] :
              ( ( ( apply(X1,X9,X11)
                  | ~ apply(X0,X10,X12) )
                & ( apply(X0,X10,X12)
                  | ~ apply(X1,X9,X11) ) )
              | ~ apply(X2,X11,X12)
              | ~ apply(X2,X9,X10)
              | ~ member(X12,X3)
              | ~ member(X11,X4)
              | ~ member(X10,X3)
              | ~ member(X9,X4) )
          & one_to_one(X2,X4,X3)
          & maps(X2,X4,X3) )
        | ~ sP1(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X4,X2,X0,X3,X1] :
      ( ( sP1(X4,X2,X0,X3,X1)
        | ? [X5,X6,X7,X8] :
            ( ( ~ apply(X4,X6,X8)
              | ~ apply(X2,X5,X7) )
            & ( apply(X4,X6,X8)
              | apply(X2,X5,X7) )
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) )
        | ~ one_to_one(X0,X1,X3)
        | ~ maps(X0,X1,X3) )
      & ( ( ! [X5,X6,X7,X8] :
              ( ( ( apply(X2,X5,X7)
                  | ~ apply(X4,X6,X8) )
                & ( apply(X4,X6,X8)
                  | ~ apply(X2,X5,X7) ) )
              | ~ apply(X0,X7,X8)
              | ~ apply(X0,X5,X6)
              | ~ member(X8,X3)
              | ~ member(X7,X1)
              | ~ member(X6,X3)
              | ~ member(X5,X1) )
          & one_to_one(X0,X1,X3)
          & maps(X0,X1,X3) )
        | ~ sP1(X4,X2,X0,X3,X1) ) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X4,X2,X0,X3,X1] :
      ( ( sP1(X4,X2,X0,X3,X1)
        | ? [X5,X6,X7,X8] :
            ( ( ~ apply(X4,X6,X8)
              | ~ apply(X2,X5,X7) )
            & ( apply(X4,X6,X8)
              | apply(X2,X5,X7) )
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) )
        | ~ one_to_one(X0,X1,X3)
        | ~ maps(X0,X1,X3) )
      & ( ( ! [X5,X6,X7,X8] :
              ( ( ( apply(X2,X5,X7)
                  | ~ apply(X4,X6,X8) )
                & ( apply(X4,X6,X8)
                  | ~ apply(X2,X5,X7) ) )
              | ~ apply(X0,X7,X8)
              | ~ apply(X0,X5,X6)
              | ~ member(X8,X3)
              | ~ member(X7,X1)
              | ~ member(X6,X3)
              | ~ member(X5,X1) )
          & one_to_one(X0,X1,X3)
          & maps(X0,X1,X3) )
        | ~ sP1(X4,X2,X0,X3,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X4,X2,X0,X3,X1] :
      ( sP1(X4,X2,X0,X3,X1)
    <=> ( ! [X5,X6,X7,X8] :
            ( ( apply(X2,X5,X7)
            <=> apply(X4,X6,X8) )
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X5,X6)
            | ~ member(X8,X3)
            | ~ member(X7,X1)
            | ~ member(X6,X3)
            | ~ member(X5,X1) )
        & one_to_one(X0,X1,X3)
        & maps(X0,X1,X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f76,plain,
    one_to_one(sK2,sK3,sK4),
    inference(cnf_transformation,[],[f53]) ).

fof(f248,plain,
    ( ~ sP1(sK6,sK5,sK2,sK4,sK3)
    | spl21_1 ),
    inference(resolution,[],[f124,f116]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X4] :
      ( isomorphism(X0,X1,X2,X3,X4)
      | ~ sP1(X4,X2,X0,X3,X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( isomorphism(X0,X1,X2,X3,X4)
        | ~ sP1(X4,X2,X0,X3,X1) )
      & ( sP1(X4,X2,X0,X3,X1)
        | ~ isomorphism(X0,X1,X2,X3,X4) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3,X4] :
      ( isomorphism(X0,X1,X2,X3,X4)
    <=> sP1(X4,X2,X0,X3,X1) ),
    inference(definition_folding,[],[f45,f48]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4] :
      ( isomorphism(X0,X1,X2,X3,X4)
    <=> ( ! [X5,X6,X7,X8] :
            ( ( apply(X2,X5,X7)
            <=> apply(X4,X6,X8) )
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X5,X6)
            | ~ member(X8,X3)
            | ~ member(X7,X1)
            | ~ member(X6,X3)
            | ~ member(X5,X1) )
        & one_to_one(X0,X1,X3)
        & maps(X0,X1,X3) ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4] :
      ( isomorphism(X0,X1,X2,X3,X4)
    <=> ( ! [X5,X6,X7,X8] :
            ( ( apply(X2,X5,X7)
            <=> apply(X4,X6,X8) )
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X5,X6)
            | ~ member(X8,X3)
            | ~ member(X7,X1)
            | ~ member(X6,X3)
            | ~ member(X5,X1) )
        & one_to_one(X0,X1,X3)
        & maps(X0,X1,X3) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3,X4] :
      ( isomorphism(X0,X1,X2,X3,X4)
    <=> ( ! [X5,X6,X7,X8] :
            ( ( apply(X0,X7,X8)
              & apply(X0,X5,X6)
              & member(X8,X3)
              & member(X7,X1)
              & member(X6,X3)
              & member(X5,X1) )
           => ( apply(X2,X5,X7)
            <=> apply(X4,X6,X8) ) )
        & one_to_one(X0,X1,X3)
        & maps(X0,X1,X3) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X5,X0,X14,X1,X15] :
      ( isomorphism(X5,X0,X14,X1,X15)
    <=> ( ! [X12,X6,X13,X7] :
            ( ( apply(X5,X13,X7)
              & apply(X5,X12,X6)
              & member(X7,X1)
              & member(X13,X0)
              & member(X6,X1)
              & member(X12,X0) )
           => ( apply(X14,X12,X13)
            <=> apply(X15,X6,X7) ) )
        & one_to_one(X5,X0,X1)
        & maps(X5,X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jxgeTLQZMU/Vampire---4.8_8963',isomorphism) ).

fof(f124,plain,
    ( ~ isomorphism(sK2,sK3,sK5,sK4,sK6)
    | spl21_1 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl21_1
  <=> isomorphism(sK2,sK3,sK5,sK4,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f290,plain,
    ( ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(subsumption_resolution,[],[f289,f250]) ).

fof(f250,plain,
    ( member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
    | spl21_1 ),
    inference(resolution,[],[f248,f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | member(sK16(X0,X1,sK2,sK4,sK3),sK3) ),
    inference(subsumption_resolution,[],[f138,f75]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( member(sK16(X0,X1,sK2,sK4,sK3),sK3)
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f107]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | member(sK16(X0,X1,X2,X3,X4),X4)
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f289,plain,
    ( ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(subsumption_resolution,[],[f288,f252]) ).

fof(f252,plain,
    ( member(sK18(sK6,sK5,sK2,sK4,sK3),sK3)
    | spl21_1 ),
    inference(resolution,[],[f248,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | member(sK18(X0,X1,sK2,sK4,sK3),sK3) ),
    inference(subsumption_resolution,[],[f140,f75]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( member(sK18(X0,X1,sK2,sK4,sK3),sK3)
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f109]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | member(sK18(X0,X1,X2,X3,X4),X4)
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f288,plain,
    ( ~ member(sK18(sK6,sK5,sK2,sK4,sK3),sK3)
    | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(subsumption_resolution,[],[f286,f254]) ).

fof(f254,plain,
    ( apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),sK17(sK6,sK5,sK2,sK4,sK3))
    | spl21_1 ),
    inference(resolution,[],[f248,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | apply(sK2,sK16(X0,X1,sK2,sK4,sK3),sK17(X0,X1,sK2,sK4,sK3)) ),
    inference(subsumption_resolution,[],[f142,f75]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( apply(sK2,sK16(X0,X1,sK2,sK4,sK3),sK17(X0,X1,sK2,sK4,sK3))
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f111]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | apply(X2,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f286,plain,
    ( ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),sK17(sK6,sK5,sK2,sK4,sK3))
    | ~ member(sK18(sK6,sK5,sK2,sK4,sK3),sK3)
    | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_2
    | spl21_4
    | ~ spl21_5 ),
    inference(resolution,[],[f284,f192]) ).

fof(f192,plain,
    ( apply(sK5,sK16(sK6,sK5,sK2,sK4,sK3),sK18(sK6,sK5,sK2,sK4,sK3))
    | ~ spl21_5 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f190,plain,
    ( spl21_5
  <=> apply(sK5,sK16(sK6,sK5,sK2,sK4,sK3),sK18(sK6,sK5,sK2,sK4,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).

fof(f284,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK5,X0,X1)
        | ~ apply(sK2,X0,sK17(sK6,sK5,sK2,sK4,sK3))
        | ~ member(X1,sK3)
        | ~ member(X0,sK3)
        | ~ apply(sK2,X1,sK19(sK6,sK5,sK2,sK4,sK3)) )
    | spl21_1
    | ~ spl21_2
    | spl21_4 ),
    inference(subsumption_resolution,[],[f283,f251]) ).

fof(f251,plain,
    ( member(sK17(sK6,sK5,sK2,sK4,sK3),sK4)
    | spl21_1 ),
    inference(resolution,[],[f248,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | member(sK17(X0,X1,sK2,sK4,sK3),sK4) ),
    inference(subsumption_resolution,[],[f139,f75]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( member(sK17(X0,X1,sK2,sK4,sK3),sK4)
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f108]) ).

fof(f108,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | member(sK17(X0,X1,X2,X3,X4),X3)
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f283,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK17(sK6,sK5,sK2,sK4,sK3))
        | ~ apply(sK5,X0,X1)
        | ~ member(X1,sK3)
        | ~ member(sK17(sK6,sK5,sK2,sK4,sK3),sK4)
        | ~ member(X0,sK3)
        | ~ apply(sK2,X1,sK19(sK6,sK5,sK2,sK4,sK3)) )
    | spl21_1
    | ~ spl21_2
    | spl21_4 ),
    inference(subsumption_resolution,[],[f282,f253]) ).

fof(f253,plain,
    ( member(sK19(sK6,sK5,sK2,sK4,sK3),sK4)
    | spl21_1 ),
    inference(resolution,[],[f248,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | member(sK19(X0,X1,sK2,sK4,sK3),sK4) ),
    inference(subsumption_resolution,[],[f141,f75]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( member(sK19(X0,X1,sK2,sK4,sK3),sK4)
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f110]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | member(sK19(X0,X1,X2,X3,X4),X3)
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f282,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK17(sK6,sK5,sK2,sK4,sK3))
        | ~ apply(sK5,X0,X1)
        | ~ member(sK19(sK6,sK5,sK2,sK4,sK3),sK4)
        | ~ member(X1,sK3)
        | ~ member(sK17(sK6,sK5,sK2,sK4,sK3),sK4)
        | ~ member(X0,sK3)
        | ~ apply(sK2,X1,sK19(sK6,sK5,sK2,sK4,sK3)) )
    | ~ spl21_2
    | spl21_4 ),
    inference(resolution,[],[f187,f249]) ).

fof(f249,plain,
    ( ! [X2,X3,X0,X1] :
        ( apply(sK6,X3,X1)
        | ~ apply(sK2,X2,X3)
        | ~ apply(sK5,X2,X0)
        | ~ member(X1,sK4)
        | ~ member(X0,sK3)
        | ~ member(X3,sK4)
        | ~ member(X2,sK3)
        | ~ apply(sK2,X0,X1) )
    | ~ spl21_2 ),
    inference(resolution,[],[f127,f94]) ).

fof(f94,plain,
    ! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
      ( ~ increasing(X0,X1,X2,X3,X4)
      | ~ apply(X0,X11,X12)
      | ~ apply(X0,X9,X10)
      | ~ apply(X2,X9,X11)
      | ~ member(X12,X3)
      | ~ member(X11,X1)
      | ~ member(X10,X3)
      | ~ member(X9,X1)
      | apply(X4,X10,X12) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ( ~ apply(X4,sK13(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4))
          & apply(X0,sK14(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4))
          & apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
          & apply(X2,sK12(X0,X1,X2,X3,X4),sK14(X0,X1,X2,X3,X4))
          & member(sK15(X0,X1,X2,X3,X4),X3)
          & member(sK14(X0,X1,X2,X3,X4),X1)
          & member(sK13(X0,X1,X2,X3,X4),X3)
          & member(sK12(X0,X1,X2,X3,X4),X1) ) )
      & ( ! [X9,X10,X11,X12] :
            ( apply(X4,X10,X12)
            | ~ apply(X0,X11,X12)
            | ~ apply(X0,X9,X10)
            | ~ apply(X2,X9,X11)
            | ~ member(X12,X3)
            | ~ member(X11,X1)
            | ~ member(X10,X3)
            | ~ member(X9,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f66,f67]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6,X7,X8] :
          ( ~ apply(X4,X6,X8)
          & apply(X0,X7,X8)
          & apply(X0,X5,X6)
          & apply(X2,X5,X7)
          & member(X8,X3)
          & member(X7,X1)
          & member(X6,X3)
          & member(X5,X1) )
     => ( ~ apply(X4,sK13(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4))
        & apply(X0,sK14(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4))
        & apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
        & apply(X2,sK12(X0,X1,X2,X3,X4),sK14(X0,X1,X2,X3,X4))
        & member(sK15(X0,X1,X2,X3,X4),X3)
        & member(sK14(X0,X1,X2,X3,X4),X1)
        & member(sK13(X0,X1,X2,X3,X4),X3)
        & member(sK12(X0,X1,X2,X3,X4),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ? [X5,X6,X7,X8] :
            ( ~ apply(X4,X6,X8)
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) ) )
      & ( ! [X9,X10,X11,X12] :
            ( apply(X4,X10,X12)
            | ~ apply(X0,X11,X12)
            | ~ apply(X0,X9,X10)
            | ~ apply(X2,X9,X11)
            | ~ member(X12,X3)
            | ~ member(X11,X1)
            | ~ member(X10,X3)
            | ~ member(X9,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ? [X5,X6,X7,X8] :
            ( ~ apply(X4,X6,X8)
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) ) )
      & ( ! [X5,X6,X7,X8] :
            ( apply(X4,X6,X8)
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X5,X6)
            | ~ apply(X2,X5,X7)
            | ~ member(X8,X3)
            | ~ member(X7,X1)
            | ~ member(X6,X3)
            | ~ member(X5,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( apply(X4,X6,X8)
          | ~ apply(X0,X7,X8)
          | ~ apply(X0,X5,X6)
          | ~ apply(X2,X5,X7)
          | ~ member(X8,X3)
          | ~ member(X7,X1)
          | ~ member(X6,X3)
          | ~ member(X5,X1) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( apply(X4,X6,X8)
          | ~ apply(X0,X7,X8)
          | ~ apply(X0,X5,X6)
          | ~ apply(X2,X5,X7)
          | ~ member(X8,X3)
          | ~ member(X7,X1)
          | ~ member(X6,X3)
          | ~ member(X5,X1) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( ( apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) )
         => apply(X4,X6,X8) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X5,X0,X14,X1,X15] :
      ( increasing(X5,X0,X14,X1,X15)
    <=> ! [X12,X6,X13,X7] :
          ( ( apply(X5,X13,X7)
            & apply(X5,X12,X6)
            & apply(X14,X12,X13)
            & member(X7,X1)
            & member(X13,X0)
            & member(X6,X1)
            & member(X12,X0) )
         => apply(X15,X6,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jxgeTLQZMU/Vampire---4.8_8963',increasing_function) ).

fof(f127,plain,
    ( increasing(sK2,sK3,sK5,sK4,sK6)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl21_2
  <=> increasing(sK2,sK3,sK5,sK4,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f187,plain,
    ( ~ apply(sK6,sK17(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_4 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl21_4
  <=> apply(sK6,sK17(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).

fof(f281,plain,
    ( spl21_4
    | spl21_5
    | spl21_1 ),
    inference(avatar_split_clause,[],[f256,f122,f190,f186]) ).

fof(f256,plain,
    ( apply(sK5,sK16(sK6,sK5,sK2,sK4,sK3),sK18(sK6,sK5,sK2,sK4,sK3))
    | apply(sK6,sK17(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1 ),
    inference(resolution,[],[f248,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | apply(X1,sK16(X0,X1,sK2,sK4,sK3),sK18(X0,X1,sK2,sK4,sK3))
      | apply(X0,sK17(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3)) ),
    inference(subsumption_resolution,[],[f144,f75]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( apply(X0,sK17(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3))
      | apply(X1,sK16(X0,X1,sK2,sK4,sK3),sK18(X0,X1,sK2,sK4,sK3))
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f113]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
      | apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4))
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f280,plain,
    ( ~ spl21_4
    | ~ spl21_5
    | spl21_1 ),
    inference(avatar_split_clause,[],[f257,f122,f190,f186]) ).

fof(f257,plain,
    ( ~ apply(sK5,sK16(sK6,sK5,sK2,sK4,sK3),sK18(sK6,sK5,sK2,sK4,sK3))
    | ~ apply(sK6,sK17(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1 ),
    inference(resolution,[],[f248,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( sP1(X0,X1,sK2,sK4,sK3)
      | ~ apply(X1,sK16(X0,X1,sK2,sK4,sK3),sK18(X0,X1,sK2,sK4,sK3))
      | ~ apply(X0,sK17(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3)) ),
    inference(subsumption_resolution,[],[f145,f75]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK17(X0,X1,sK2,sK4,sK3),sK19(X0,X1,sK2,sK4,sK3))
      | ~ apply(X1,sK16(X0,X1,sK2,sK4,sK3),sK18(X0,X1,sK2,sK4,sK3))
      | sP1(X0,X1,sK2,sK4,sK3)
      | ~ maps(sK2,sK3,sK4) ),
    inference(resolution,[],[f76,f114]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ one_to_one(X2,X4,X3)
      | ~ apply(X0,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
      | ~ apply(X1,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4))
      | sP1(X0,X1,X2,X3,X4)
      | ~ maps(X2,X4,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f279,plain,
    ( spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(subsumption_resolution,[],[f277,f255]) ).

fof(f277,plain,
    ( ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(subsumption_resolution,[],[f276,f254]) ).

fof(f276,plain,
    ( ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),sK17(sK6,sK5,sK2,sK4,sK3))
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(subsumption_resolution,[],[f275,f253]) ).

fof(f275,plain,
    ( ~ member(sK19(sK6,sK5,sK2,sK4,sK3),sK4)
    | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),sK17(sK6,sK5,sK2,sK4,sK3))
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(subsumption_resolution,[],[f273,f251]) ).

fof(f273,plain,
    ( ~ member(sK17(sK6,sK5,sK2,sK4,sK3),sK4)
    | ~ member(sK19(sK6,sK5,sK2,sK4,sK3),sK4)
    | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),sK17(sK6,sK5,sK2,sK4,sK3))
    | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | spl21_1
    | ~ spl21_3
    | ~ spl21_4
    | spl21_5 ),
    inference(resolution,[],[f271,f188]) ).

fof(f188,plain,
    ( apply(sK6,sK17(sK6,sK5,sK2,sK4,sK3),sK19(sK6,sK5,sK2,sK4,sK3))
    | ~ spl21_4 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f271,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK6,X1,X0)
        | ~ member(X1,sK4)
        | ~ member(X0,sK4)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X1)
        | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),X0) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(subsumption_resolution,[],[f270,f252]) ).

fof(f270,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK4)
        | ~ member(X1,sK4)
        | ~ apply(sK6,X1,X0)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X1)
        | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),X0)
        | ~ member(sK18(sK6,sK5,sK2,sK4,sK3),sK3) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,sK4)
        | ~ member(X1,sK4)
        | ~ apply(sK6,X1,X0)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X1)
        | ~ apply(sK2,sK18(sK6,sK5,sK2,sK4,sK3),X0)
        | ~ member(X0,sK4)
        | ~ member(sK18(sK6,sK5,sK2,sK4,sK3),sK3) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(resolution,[],[f267,f92]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1,X4] :
      ( apply(inverse_function(X0,X1,X2),X4,X3)
      | ~ apply(X0,X3,X4)
      | ~ member(X4,X2)
      | ~ member(X3,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( apply(X0,X3,X4)
          | ~ apply(inverse_function(X0,X1,X2),X4,X3) )
        & ( apply(inverse_function(X0,X1,X2),X4,X3)
          | ~ apply(X0,X3,X4) ) )
      | ~ member(X4,X2)
      | ~ member(X3,X1) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( apply(X0,X3,X4)
      <=> apply(inverse_function(X0,X1,X2),X4,X3) )
      | ~ member(X4,X2)
      | ~ member(X3,X1) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( apply(X0,X3,X4)
      <=> apply(inverse_function(X0,X1,X2),X4,X3) )
      | ~ member(X4,X2)
      | ~ member(X3,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( member(X4,X2)
        & member(X3,X1) )
     => ( apply(X0,X3,X4)
      <=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X5,X0,X1,X2,X4] :
      ( ( member(X4,X1)
        & member(X2,X0) )
     => ( apply(X5,X2,X4)
      <=> apply(inverse_function(X5,X0,X1),X4,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jxgeTLQZMU/Vampire---4.8_8963',inverse_function) ).

fof(f267,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3))
        | ~ member(X1,sK4)
        | ~ member(X0,sK4)
        | ~ apply(sK6,X0,X1)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X0) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(subsumption_resolution,[],[f266,f250]) ).

fof(f266,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3))
        | ~ member(X1,sK4)
        | ~ member(X0,sK4)
        | ~ apply(sK6,X0,X1)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X0)
        | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f263,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3))
        | ~ member(X1,sK4)
        | ~ member(X0,sK4)
        | ~ apply(sK6,X0,X1)
        | ~ apply(sK2,sK16(sK6,sK5,sK2,sK4,sK3),X0)
        | ~ member(X0,sK4)
        | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(resolution,[],[f262,f92]) ).

fof(f262,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK16(sK6,sK5,sK2,sK4,sK3))
        | ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3))
        | ~ member(X1,sK4)
        | ~ member(X0,sK4)
        | ~ apply(sK6,X0,X1) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(subsumption_resolution,[],[f261,f250]) ).

fof(f261,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK16(sK6,sK5,sK2,sK4,sK3))
        | ~ apply(sK6,X0,X1)
        | ~ member(X1,sK4)
        | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
        | ~ member(X0,sK4)
        | ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3)) )
    | spl21_1
    | ~ spl21_3
    | spl21_5 ),
    inference(subsumption_resolution,[],[f260,f252]) ).

fof(f260,plain,
    ( ! [X0,X1] :
        ( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK16(sK6,sK5,sK2,sK4,sK3))
        | ~ apply(sK6,X0,X1)
        | ~ member(sK18(sK6,sK5,sK2,sK4,sK3),sK3)
        | ~ member(X1,sK4)
        | ~ member(sK16(sK6,sK5,sK2,sK4,sK3),sK3)
        | ~ member(X0,sK4)
        | ~ apply(inverse_function(sK2,sK3,sK4),X1,sK18(sK6,sK5,sK2,sK4,sK3)) )
    | ~ spl21_3
    | spl21_5 ),
    inference(resolution,[],[f191,f234]) ).

fof(f234,plain,
    ( ! [X2,X3,X0,X1] :
        ( apply(sK5,X3,X1)
        | ~ apply(inverse_function(sK2,sK3,sK4),X2,X3)
        | ~ apply(sK6,X2,X0)
        | ~ member(X1,sK3)
        | ~ member(X0,sK4)
        | ~ member(X3,sK3)
        | ~ member(X2,sK4)
        | ~ apply(inverse_function(sK2,sK3,sK4),X0,X1) )
    | ~ spl21_3 ),
    inference(resolution,[],[f131,f94]) ).

fof(f131,plain,
    ( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
    | ~ spl21_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl21_3
  <=> increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).

fof(f191,plain,
    ( ~ apply(sK5,sK16(sK6,sK5,sK2,sK4,sK3),sK18(sK6,sK5,sK2,sK4,sK3))
    | spl21_5 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f247,plain,
    ( ~ spl21_1
    | spl21_2 ),
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f245,f232]) ).

fof(f232,plain,
    ( apply(sK2,sK14(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | spl21_2 ),
    inference(resolution,[],[f128,f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X0,sK14(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f128,plain,
    ( ~ increasing(sK2,sK3,sK5,sK4,sK6)
    | spl21_2 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f245,plain,
    ( ~ apply(sK2,sK14(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f244,f226]) ).

fof(f226,plain,
    ( member(sK12(sK2,sK3,sK5,sK4,sK6),sK3)
    | spl21_2 ),
    inference(resolution,[],[f128,f95]) ).

fof(f95,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK12(X0,X1,X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f244,plain,
    ( ~ member(sK12(sK2,sK3,sK5,sK4,sK6),sK3)
    | ~ apply(sK2,sK14(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f243,f228]) ).

fof(f228,plain,
    ( member(sK14(sK2,sK3,sK5,sK4,sK6),sK3)
    | spl21_2 ),
    inference(resolution,[],[f128,f97]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK14(X0,X1,X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f243,plain,
    ( ~ member(sK14(sK2,sK3,sK5,sK4,sK6),sK3)
    | ~ member(sK12(sK2,sK3,sK5,sK4,sK6),sK3)
    | ~ apply(sK2,sK14(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f240,f231]) ).

fof(f231,plain,
    ( apply(sK2,sK12(sK2,sK3,sK5,sK4,sK6),sK13(sK2,sK3,sK5,sK4,sK6))
    | spl21_2 ),
    inference(resolution,[],[f128,f100]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f240,plain,
    ( ~ apply(sK2,sK12(sK2,sK3,sK5,sK4,sK6),sK13(sK2,sK3,sK5,sK4,sK6))
    | ~ member(sK14(sK2,sK3,sK5,sK4,sK6),sK3)
    | ~ member(sK12(sK2,sK3,sK5,sK4,sK6),sK3)
    | ~ apply(sK2,sK14(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | ~ spl21_1
    | spl21_2 ),
    inference(resolution,[],[f239,f230]) ).

fof(f230,plain,
    ( apply(sK5,sK12(sK2,sK3,sK5,sK4,sK6),sK14(sK2,sK3,sK5,sK4,sK6))
    | spl21_2 ),
    inference(resolution,[],[f128,f99]) ).

fof(f99,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X2,sK12(X0,X1,X2,X3,X4),sK14(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f239,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK5,X1,X0)
        | ~ apply(sK2,X1,sK13(sK2,sK3,sK5,sK4,sK6))
        | ~ member(X0,sK3)
        | ~ member(X1,sK3)
        | ~ apply(sK2,X0,sK15(sK2,sK3,sK5,sK4,sK6)) )
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f238,f227]) ).

fof(f227,plain,
    ( member(sK13(sK2,sK3,sK5,sK4,sK6),sK4)
    | spl21_2 ),
    inference(resolution,[],[f128,f96]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK13(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f238,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK15(sK2,sK3,sK5,sK4,sK6))
        | ~ apply(sK2,X1,sK13(sK2,sK3,sK5,sK4,sK6))
        | ~ member(X0,sK3)
        | ~ member(sK13(sK2,sK3,sK5,sK4,sK6),sK4)
        | ~ member(X1,sK3)
        | ~ apply(sK5,X1,X0) )
    | ~ spl21_1
    | spl21_2 ),
    inference(subsumption_resolution,[],[f236,f229]) ).

fof(f229,plain,
    ( member(sK15(sK2,sK3,sK5,sK4,sK6),sK4)
    | spl21_2 ),
    inference(resolution,[],[f128,f98]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK15(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f236,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK15(sK2,sK3,sK5,sK4,sK6))
        | ~ apply(sK2,X1,sK13(sK2,sK3,sK5,sK4,sK6))
        | ~ member(sK15(sK2,sK3,sK5,sK4,sK6),sK4)
        | ~ member(X0,sK3)
        | ~ member(sK13(sK2,sK3,sK5,sK4,sK6),sK4)
        | ~ member(X1,sK3)
        | ~ apply(sK5,X1,X0) )
    | ~ spl21_1
    | spl21_2 ),
    inference(resolution,[],[f204,f233]) ).

fof(f233,plain,
    ( ~ apply(sK6,sK13(sK2,sK3,sK5,sK4,sK6),sK15(sK2,sK3,sK5,sK4,sK6))
    | spl21_2 ),
    inference(resolution,[],[f128,f102]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | ~ apply(X4,sK13(X0,X1,X2,X3,X4),sK15(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f204,plain,
    ( ! [X2,X3,X0,X1] :
        ( apply(sK6,X3,X2)
        | ~ apply(sK2,X1,X2)
        | ~ apply(sK2,X0,X3)
        | ~ member(X2,sK4)
        | ~ member(X1,sK3)
        | ~ member(X3,sK4)
        | ~ member(X0,sK3)
        | ~ apply(sK5,X0,X1) )
    | ~ spl21_1 ),
    inference(resolution,[],[f194,f105]) ).

fof(f105,plain,
    ! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
      ( ~ sP1(X0,X1,X2,X3,X4)
      | ~ apply(X1,X9,X11)
      | ~ apply(X2,X11,X12)
      | ~ apply(X2,X9,X10)
      | ~ member(X12,X3)
      | ~ member(X11,X4)
      | ~ member(X10,X3)
      | ~ member(X9,X4)
      | apply(X0,X10,X12) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f194,plain,
    ( sP1(sK6,sK5,sK2,sK4,sK3)
    | ~ spl21_1 ),
    inference(resolution,[],[f123,f115]) ).

fof(f115,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ isomorphism(X0,X1,X2,X3,X4)
      | sP1(X4,X2,X0,X3,X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f123,plain,
    ( isomorphism(sK2,sK3,sK5,sK4,sK6)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f225,plain,
    ( ~ spl21_1
    | spl21_3 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f223,f211]) ).

fof(f211,plain,
    ( apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(subsumption_resolution,[],[f210,f198]) ).

fof(f198,plain,
    ( member(sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(resolution,[],[f132,f98]) ).

fof(f132,plain,
    ( ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
    | spl21_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f210,plain,
    ( apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ member(sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(subsumption_resolution,[],[f209,f197]) ).

fof(f197,plain,
    ( member(sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
    | spl21_3 ),
    inference(resolution,[],[f132,f97]) ).

fof(f209,plain,
    ( apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ member(sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
    | ~ member(sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(resolution,[],[f201,f93]) ).

fof(f93,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ apply(inverse_function(X0,X1,X2),X4,X3)
      | apply(X0,X3,X4)
      | ~ member(X4,X2)
      | ~ member(X3,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f201,plain,
    ( apply(inverse_function(sK2,sK3,sK4),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(resolution,[],[f132,f101]) ).

fof(f223,plain,
    ( ~ apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f222,f196]) ).

fof(f196,plain,
    ( member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(resolution,[],[f132,f96]) ).

fof(f222,plain,
    ( ~ member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | ~ apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f221,f198]) ).

fof(f221,plain,
    ( ~ member(sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | ~ member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | ~ apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f220,f208]) ).

fof(f208,plain,
    ( apply(sK2,sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(subsumption_resolution,[],[f207,f196]) ).

fof(f207,plain,
    ( apply(sK2,sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(subsumption_resolution,[],[f206,f195]) ).

fof(f195,plain,
    ( member(sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
    | spl21_3 ),
    inference(resolution,[],[f132,f95]) ).

fof(f206,plain,
    ( apply(sK2,sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ member(sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
    | ~ member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | spl21_3 ),
    inference(resolution,[],[f200,f93]) ).

fof(f200,plain,
    ( apply(inverse_function(sK2,sK3,sK4),sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(resolution,[],[f132,f100]) ).

fof(f220,plain,
    ( ~ apply(sK2,sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ member(sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | ~ member(sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
    | ~ apply(sK2,sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | ~ spl21_1
    | spl21_3 ),
    inference(resolution,[],[f219,f202]) ).

fof(f202,plain,
    ( ~ apply(sK5,sK13(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK15(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(resolution,[],[f132,f102]) ).

fof(f219,plain,
    ( ! [X0,X1] :
        ( apply(sK5,X1,X0)
        | ~ apply(sK2,X1,sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
        | ~ member(X0,sK3)
        | ~ member(X1,sK3)
        | ~ apply(sK2,X0,sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) )
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f218,f195]) ).

fof(f218,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
        | ~ apply(sK2,X1,sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
        | ~ member(X0,sK3)
        | ~ member(sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
        | ~ member(X1,sK3)
        | apply(sK5,X1,X0) )
    | ~ spl21_1
    | spl21_3 ),
    inference(subsumption_resolution,[],[f216,f197]) ).

fof(f216,plain,
    ( ! [X0,X1] :
        ( ~ apply(sK2,X0,sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
        | ~ apply(sK2,X1,sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
        | ~ member(sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
        | ~ member(X0,sK3)
        | ~ member(sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
        | ~ member(X1,sK3)
        | apply(sK5,X1,X0) )
    | ~ spl21_1
    | spl21_3 ),
    inference(resolution,[],[f205,f199]) ).

fof(f199,plain,
    ( apply(sK6,sK12(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK14(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
    | spl21_3 ),
    inference(resolution,[],[f132,f99]) ).

fof(f205,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ apply(sK6,X0,X1)
        | ~ apply(sK2,X2,X1)
        | ~ apply(sK2,X3,X0)
        | ~ member(X1,sK4)
        | ~ member(X2,sK3)
        | ~ member(X0,sK4)
        | ~ member(X3,sK3)
        | apply(sK5,X3,X2) )
    | ~ spl21_1 ),
    inference(resolution,[],[f194,f106]) ).

fof(f106,plain,
    ! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
      ( ~ sP1(X0,X1,X2,X3,X4)
      | ~ apply(X0,X10,X12)
      | ~ apply(X2,X11,X12)
      | ~ apply(X2,X9,X10)
      | ~ member(X12,X3)
      | ~ member(X11,X4)
      | ~ member(X10,X3)
      | ~ member(X9,X4)
      | apply(X1,X9,X11) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f135,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f77,f126,f122]) ).

fof(f77,plain,
    ( increasing(sK2,sK3,sK5,sK4,sK6)
    | isomorphism(sK2,sK3,sK5,sK4,sK6) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f134,plain,
    ( spl21_1
    | spl21_3 ),
    inference(avatar_split_clause,[],[f78,f130,f122]) ).

fof(f78,plain,
    ( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
    | isomorphism(sK2,sK3,sK5,sK4,sK6) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f133,plain,
    ( ~ spl21_1
    | ~ spl21_2
    | ~ spl21_3 ),
    inference(avatar_split_clause,[],[f79,f130,f126,f122]) ).

fof(f79,plain,
    ( ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
    | ~ increasing(sK2,sK3,sK5,sK4,sK6)
    | ~ isomorphism(sK2,sK3,sK5,sK4,sK6) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET750+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 16:48:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.jxgeTLQZMU/Vampire---4.8_8963
% 0.54/0.74  % (9078)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.74  % (9071)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74  % (9073)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (9075)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74  % (9072)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.74  % (9074)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.74  % (9076)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.74  % (9077)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.75  % (9078)First to succeed.
% 0.54/0.75  % (9078)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9070"
% 0.54/0.75  % (9078)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (9078)------------------------------
% 0.54/0.75  % (9078)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (9078)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (9078)Memory used [KB]: 1200
% 0.54/0.75  % (9078)Time elapsed: 0.007 s
% 0.54/0.75  % (9078)Instructions burned: 21 (million)
% 0.54/0.75  % (9070)Success in time 0.39 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------