TSTP Solution File: SET802+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET802+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.yuj3J8CITQ true

% Computer : n004.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 16:16:06 EDT 2023

% Result   : Theorem 13.61s 2.67s
% Output   : Refutation 13.61s
% 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 (   9 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__18_type,type,
    sk__18: $i > $i > $i > $i > $i ).

thf(sk__12_type,type,
    sk__12: $i > $i > $i > $i ).

thf(least_type,type,
    least: $i > $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i > $i > $i > $i ).

thf(lower_bound_type,type,
    lower_bound: $i > $i > $i > $o ).

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

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

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

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

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

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

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

thf(greatest_lower_bound_type,type,
    greatest_lower_bound: $i > $i > $i > $i > $o ).

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

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greatest_lower_bound @ X0 @ X1 @ X2 @ X3 )
      | ( lower_bound @ ( sk__18 @ X3 @ X2 @ X1 @ X0 ) @ X2 @ X1 )
      | ~ ( lower_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest_lower_bound]) ).

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

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( least @ X0 @ X1 @ X2 )
      | ( member @ ( sk__14 @ X0 @ X2 @ X1 ) @ X2 )
      | ~ ( member @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[least]) ).

thf(thIV14,conjecture,
    ! [R: $i,E: $i] :
      ( ( order @ R @ E )
     => ! [X: $i] :
          ( ( subset @ X @ E )
         => ! [M: $i] :
              ( ( least @ M @ R @ X )
            <=> ( ( member @ M @ X )
                & ( greatest_lower_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] :
                ( ( least @ M @ R @ X )
              <=> ( ( member @ M @ X )
                  & ( greatest_lower_bound @ M @ X @ R @ E ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thIV14]) ).

thf(zip_derived_cl106,plain,
    ( ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least @ 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__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl106]) ).

thf(zip_derived_cl756,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl734]) ).

thf(zip_derived_cl852,plain,
    ( ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( lower_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 )
    | ( least @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( least @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[least]) ).

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_cl77]) ).

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

thf(zip_derived_cl853,plain,
    ( ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl852,zip_derived_cl802]) ).

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

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lower_bound @ X0 @ X1 @ X2 )
      | ( member @ ( sk__12 @ X0 @ X2 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[lower_bound]) ).

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

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X3 @ X0 )
      | ~ ( least @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[least]) ).

thf(zip_derived_cl744,plain,
    ! [X0: $i] :
      ( ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
      | ( apply @ sk__19 @ sk__22 @ X0 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl105,zip_derived_cl78]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( lower_bound @ X0 @ X1 @ X2 )
      | ~ ( greatest_lower_bound @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[greatest_lower_bound]) ).

thf(zip_derived_cl773,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__21 )
      | ( apply @ sk__19 @ sk__22 @ X0 )
      | ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl744,zip_derived_cl98]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X3 @ X0 )
      | ~ ( lower_bound @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[lower_bound]) ).

thf(zip_derived_cl2151,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ sk__22 @ X0 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl70]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( lower_bound @ X0 @ X1 @ X2 )
      | ~ ( apply @ X1 @ X0 @ ( sk__12 @ X0 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[lower_bound]) ).

thf(zip_derived_cl2157,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk__12 @ sk__22 @ X0 @ sk__19 ) @ sk__21 )
      | ( lower_bound @ sk__22 @ sk__19 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2151,zip_derived_cl71]) ).

thf(zip_derived_cl4105,plain,
    ( ( lower_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl2157]) ).

thf(zip_derived_cl4106,plain,
    lower_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl4105]) ).

thf(zip_derived_cl4109,plain,
    ( ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl4106]) ).

thf(zip_derived_cl2151_001,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ sk__22 @ X0 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl70]) ).

thf(zip_derived_cl101_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greatest_lower_bound @ X0 @ X1 @ X2 @ X3 )
      | ( lower_bound @ ( sk__18 @ X3 @ X2 @ X1 @ X0 ) @ X2 @ X1 )
      | ~ ( lower_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest_lower_bound]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( least @ X0 @ X1 @ X2 )
      | ~ ( apply @ X1 @ X0 @ ( sk__14 @ X0 @ X2 @ X1 ) )
      | ~ ( member @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[least]) ).

thf(zip_derived_cl106_003,plain,
    ( ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( least @ 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__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl80,zip_derived_cl106]) ).

thf(zip_derived_cl757,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl737]) ).

thf(zip_derived_cl938,plain,
    ( ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( lower_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__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl802]) ).

thf(zip_derived_cl4106_005,plain,
    lower_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl4105]) ).

thf(zip_derived_cl4112,plain,
    ( ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl939,zip_derived_cl4106]) ).

thf(zip_derived_cl4764,plain,
    ( ~ ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ( lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2151,zip_derived_cl4112]) ).

thf(zip_derived_cl5218,plain,
    lower_bound @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__19 @ sk__21,
    inference(clc,[status(thm)],[zip_derived_cl4109,zip_derived_cl4764]) ).

thf(zip_derived_cl70_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X3 @ X0 )
      | ~ ( lower_bound @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[lower_bound]) ).

thf(zip_derived_cl5219,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__21 )
      | ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5218,zip_derived_cl70]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greatest_lower_bound @ X0 @ X1 @ X2 @ X3 )
      | ~ ( apply @ X2 @ ( sk__18 @ X3 @ X2 @ X1 @ X0 ) @ X0 )
      | ~ ( lower_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest_lower_bound]) ).

thf(zip_derived_cl734_007,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl106]) ).

thf(zip_derived_cl761,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl734]) ).

thf(zip_derived_cl928,plain,
    ( ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( lower_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__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl928,zip_derived_cl802]) ).

thf(zip_derived_cl4106_009,plain,
    lower_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl4105]) ).

thf(zip_derived_cl4111,plain,
    ( ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl4106]) ).

thf(zip_derived_cl2151_010,plain,
    ! [X0: $i] :
      ( ( apply @ sk__19 @ sk__22 @ X0 )
      | ~ ( member @ X0 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl70]) ).

thf(zip_derived_cl102_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( greatest_lower_bound @ X0 @ X1 @ X2 @ X3 )
      | ~ ( apply @ X2 @ ( sk__18 @ X3 @ X2 @ X1 @ X0 ) @ X0 )
      | ~ ( lower_bound @ X0 @ X2 @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest_lower_bound]) ).

thf(zip_derived_cl737_012,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( greatest_lower_bound @ sk__22 @ sk__21 @ sk__19 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl80,zip_derived_cl106]) ).

thf(zip_derived_cl762,plain,
    ( ~ ( member @ sk__22 @ sk__21 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( member @ sk__22 @ sk__21 )
    | ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( member @ sk__22 @ sk__21 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl737]) ).

thf(zip_derived_cl986,plain,
    ( ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( lower_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_cl987,plain,
    ( ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 )
    | ~ ( lower_bound @ sk__22 @ sk__19 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl986,zip_derived_cl802]) ).

thf(zip_derived_cl4106_014,plain,
    lower_bound @ sk__22 @ sk__19 @ sk__21,
    inference(simplify,[status(thm)],[zip_derived_cl4105]) ).

thf(zip_derived_cl4113,plain,
    ( ~ ( apply @ sk__19 @ sk__22 @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl987,zip_derived_cl4106]) ).

thf(zip_derived_cl4199,plain,
    ( ~ ( member @ ( sk__14 @ sk__22 @ sk__21 @ sk__19 ) @ sk__21 )
    | ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2151,zip_derived_cl4113]) ).

thf(zip_derived_cl4375,plain,
    ~ ( apply @ sk__19 @ ( sk__18 @ sk__20 @ sk__19 @ sk__21 @ sk__22 ) @ sk__22 ),
    inference(clc,[status(thm)],[zip_derived_cl4111,zip_derived_cl4199]) ).

thf(zip_derived_cl5309,plain,
    ~ ( member @ sk__22 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5219,zip_derived_cl4375]) ).

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

thf(zip_derived_cl5310,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5309,zip_derived_cl802]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem  : SET802+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yuj3J8CITQ true
% 0.14/0.38  % Computer : n004.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Sat Aug 26 16:11:53 EDT 2023
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  % Running portfolio for 300 s
% 0.14/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  % Number of cores: 8
% 0.14/0.38  % Python version: Python 3.6.8
% 0.14/0.39  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.86  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.61/2.67  % Solved by fo/fo6_bce.sh.
% 13.61/2.67  % BCE start: 108
% 13.61/2.67  % BCE eliminated: 0
% 13.61/2.67  % PE start: 108
% 13.61/2.67  logic: eq
% 13.61/2.67  % PE eliminated: 18
% 13.61/2.67  % done 504 iterations in 1.818s
% 13.61/2.67  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.61/2.67  % SZS output start Refutation
% See solution above
% 13.61/2.67  
% 13.61/2.67  
% 13.61/2.67  % Terminating...
% 13.61/2.75  % Runner terminated.
% 13.61/2.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------