TSTP Solution File: SET801+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET801+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vP51sOizmi true

% Computer : n009.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 : Thu Aug 31 16:16:05 EDT 2023

% Result   : Theorem 7.50s 1.67s
% Output   : Refutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   80 (  13 unt;  14 typ;   0 def)
%            Number of atoms       :  185 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  890 (  99   ~; 101   |;   6   &; 672   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   :   75 (   0   ^;  75   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i > $i > $i > $i > $i ).

thf(order_type,type,
    order: $i > $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(upper_bound_type,type,
    upper_bound: $i > $i > $i > $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(sk__13_type,type,
    sk__13: $i > $i > $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i > $o ).

thf(greatest_type,type,
    greatest: $i > $i > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i > $i ).

thf(least_upper_bound_type,type,
    least_upper_bound: $i > $i > $i > $i > $o ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(least_upper_bound,axiom,
    ! [A: $i,X: $i,R: $i,E: $i] :
      ( ( least_upper_bound @ A @ X @ R @ E )
    <=> ( ( member @ A @ X )
        & ( upper_bound @ A @ R @ X )
        & ! [M: $i] :
            ( ( ( member @ M @ E )
              & ( upper_bound @ M @ R @ X ) )
           => ( apply @ R @ A @ M ) ) ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( least_upper_bound @ X0 @ X1 @ X2 @ X3 )
      | ( upper_bound @ ( sk__17 @ X3 @ X2 @ X1 @ X0 ) @ X2 @ X1 )
      | ~ ( upper_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[least_upper_bound]) ).

thf(greatest,axiom,
    ! [R: $i,E: $i,M: $i] :
      ( ( greatest @ M @ R @ E )
    <=> ( ( member @ M @ E )
        & ! [X: $i] :
            ( ( member @ X @ E )
           => ( apply @ R @ X @ M ) ) ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( greatest @ X0 @ X1 @ X2 )
      | ( member @ ( sk__13 @ X0 @ X2 @ X1 ) @ X2 )
      | ~ ( member @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(thIV13,conjecture,
    ! [R: $i,E: $i] :
      ( ( order @ R @ E )
     => ! [X: $i] :
          ( ( subset @ X @ E )
         => ! [M: $i] :
              ( ( greatest @ M @ R @ X )
            <=> ( ( member @ M @ X )
                & ( least_upper_bound @ M @ X @ R @ E ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [R: $i,E: $i] :
        ( ( order @ R @ E )
       => ! [X: $i] :
            ( ( subset @ X @ E )
           => ! [M: $i] :
                ( ( greatest @ M @ R @ X )
              <=> ( ( member @ M @ X )
                  & ( least_upper_bound @ M @ X @ R @ E ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thIV13]) ).

thf(zip_derived_cl106,plain,
    ( ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl734,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl106]) ).

thf(zip_derived_cl756,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl95,zip_derived_cl734]) ).

thf(zip_derived_cl852,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl756]) ).

thf(zip_derived_cl104,plain,
    ( ( member @ sk__22 @ sk__21 )
    | ( greatest @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( greatest @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(zip_derived_cl738,plain,
    ( ( member @ sk__22 @ sk__21 )
    | ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl104,zip_derived_cl73]) ).

thf(zip_derived_cl802,plain,
    member @ sk__22 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).

thf(zip_derived_cl853,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl852,zip_derived_cl802]) ).

thf(upper_bound,axiom,
    ! [R: $i,E: $i,M: $i] :
      ( ( upper_bound @ M @ R @ E )
    <=> ! [X: $i] :
          ( ( member @ X @ E )
         => ( apply @ R @ X @ M ) ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( upper_bound @ X0 @ X1 @ X2 )
      | ( member @ ( sk__11 @ X0 @ X2 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[upper_bound]) ).

thf(zip_derived_cl105,plain,
    ( ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
    | ( greatest @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ X3 )
      | ~ ( greatest @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(zip_derived_cl744,plain,
    ! [X0: $i] :
      ( ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
      | ( apply @ sk__19 @ X0 @ sk__22 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl105,zip_derived_cl74]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( upper_bound @ X0 @ X1 @ X2 )
      | ~ ( least_upper_bound @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[least_upper_bound]) ).

thf(zip_derived_cl773,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__21 )
      | ( apply @ sk__19 @ X0 @ sk__22 )
      | ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl744,zip_derived_cl92]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ X3 )
      | ~ ( upper_bound @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[upper_bound]) ).

thf(zip_derived_cl2165,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ X0 @ sk__22 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl67]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( upper_bound @ X0 @ X1 @ X2 )
      | ~ ( apply @ X1 @ ( sk__11 @ X0 @ X2 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[upper_bound]) ).

thf(zip_derived_cl2171,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk__11 @ sk__22 @ X0 @ sk__19 ) @ sk__21 )
      | ( upper_bound @ sk__22 @ sk__19 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2165,zip_derived_cl68]) ).

thf(zip_derived_cl3925,plain,
    ( ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl2171]) ).

thf(zip_derived_cl3926,plain,
    upper_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl3925]) ).

thf(zip_derived_cl3965,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl3926]) ).

thf(zip_derived_cl2165_001,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ X0 @ sk__22 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl67]) ).

thf(zip_derived_cl95_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( least_upper_bound @ X0 @ X1 @ X2 @ X3 )
      | ( upper_bound @ ( sk__17 @ X3 @ X2 @ X1 @ X0 ) @ X2 @ X1 )
      | ~ ( upper_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[least_upper_bound]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( greatest @ X0 @ X1 @ X2 )
      | ~ ( apply @ X1 @ ( sk__13 @ X0 @ X2 @ X1 ) @ X0 )
      | ~ ( member @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(zip_derived_cl106_003,plain,
    ( ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl737,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl106]) ).

thf(zip_derived_cl757,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl95,zip_derived_cl737]) ).

thf(zip_derived_cl938,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl757]) ).

thf(zip_derived_cl802_004,plain,
    member @ sk__22 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).

thf(zip_derived_cl939,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl802]) ).

thf(zip_derived_cl3926_005,plain,
    upper_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl3925]) ).

thf(zip_derived_cl3968,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl939,zip_derived_cl3926]) ).

thf(zip_derived_cl4532,plain,
    ( ~ ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2165,zip_derived_cl3968]) ).

thf(zip_derived_cl4967,plain,
    upper_bound @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21,
    inference(clc,[status(thm)],[zip_derived_cl3965,zip_derived_cl4532]) ).

thf(zip_derived_cl67_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ X3 )
      | ~ ( upper_bound @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[upper_bound]) ).

thf(zip_derived_cl4968,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__21 )
      | ( apply @ sk__19 @ X0 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4967,zip_derived_cl67]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( least_upper_bound @ X0 @ X1 @ X2 @ X3 )
      | ~ ( apply @ X2 @ X0 @ ( sk__17 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( upper_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[least_upper_bound]) ).

thf(zip_derived_cl734_007,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl106]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl96,zip_derived_cl734]) ).

thf(zip_derived_cl928,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl761]) ).

thf(zip_derived_cl802_008,plain,
    member @ sk__22 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).

thf(zip_derived_cl929,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl928,zip_derived_cl802]) ).

thf(zip_derived_cl3926_009,plain,
    upper_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl3925]) ).

thf(zip_derived_cl3967,plain,
    ( ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl3926]) ).

thf(zip_derived_cl2165_010,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ X0 @ sk__22 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl67]) ).

thf(zip_derived_cl96_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( least_upper_bound @ X0 @ X1 @ X2 @ X3 )
      | ~ ( apply @ X2 @ X0 @ ( sk__17 @ X3 @ X2 @ X1 @ X0 ) )
      | ~ ( upper_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[least_upper_bound]) ).

thf(zip_derived_cl737_012,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least_upper_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl106]) ).

thf(zip_derived_cl762,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl96,zip_derived_cl737]) ).

thf(zip_derived_cl988,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl762]) ).

thf(zip_derived_cl802_013,plain,
    member @ sk__22 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).

thf(zip_derived_cl989,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) )
    | ~ ( upper_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl802]) ).

thf(zip_derived_cl3926_014,plain,
    upper_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl3925]) ).

thf(zip_derived_cl3969,plain,
    ( ~ ( apply @ sk__19 @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__22 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl989,zip_derived_cl3926]) ).

thf(zip_derived_cl4045,plain,
    ( ~ ( member @ ( sk__13 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2165,zip_derived_cl3969]) ).

thf(zip_derived_cl4226,plain,
    ~ ( apply @ sk__19 @ sk__22 @ ( sk__17 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3967,zip_derived_cl4045]) ).

thf(zip_derived_cl5061,plain,
    ~ ( member @ sk__22 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4968,zip_derived_cl4226]) ).

thf(zip_derived_cl802_015,plain,
    member @ sk__22 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl738]) ).

thf(zip_derived_cl5062,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5061,zip_derived_cl802]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET801+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vP51sOizmi true
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 15:06:35 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.52/0.62  % Total configuration time : 435
% 0.52/0.62  % Estimated wc time : 1092
% 0.52/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.50/1.67  % Solved by fo/fo6_bce.sh.
% 7.50/1.67  % BCE start: 108
% 7.50/1.67  % BCE eliminated: 0
% 7.50/1.67  % PE start: 108
% 7.50/1.67  logic: eq
% 7.50/1.67  % PE eliminated: 18
% 7.50/1.67  % done 486 iterations in 0.957s
% 7.50/1.67  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.50/1.67  % SZS output start Refutation
% See solution above
% 7.50/1.67  
% 7.50/1.67  
% 7.50/1.67  % Terminating...
% 7.87/1.77  % Runner terminated.
% 7.87/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------