TSTP Solution File: REL023+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dzo5K721yC true

% Computer : n005.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 13:47:14 EDT 2023

% Result   : Theorem 0.57s 1.14s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   98 (  87 unt;  11 typ;   0 def)
%            Number of atoms       :   87 (  86 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  501 (   5   ~;   0   |;   0   &; 496   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  119 (   0   ^; 119   !;   0   ?; 119   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(join_type,type,
    join: $i > $i > $i ).

thf(converse_type,type,
    converse: $i > $i ).

thf(meet_type,type,
    meet: $i > $i > $i ).

thf(top_type,type,
    top: $i ).

thf(zero_type,type,
    zero: $i ).

thf(composition_type,type,
    composition: $i > $i > $i ).

thf(complement_type,type,
    complement: $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(one_type,type,
    one: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ ( meet @ X1 @ X2 ) ) @ ( composition @ X0 @ ( meet @ X1 @ X2 ) ) )
      = ( composition @ X0 @ ( meet @ X1 @ X2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i,X2: $i] :
        ( ( join @ ( composition @ ( meet @ X0 @ ( converse @ X1 ) ) @ ( meet @ X1 @ X2 ) ) @ ( composition @ X0 @ ( meet @ X1 @ X2 ) ) )
        = ( composition @ X0 @ ( meet @ X1 @ X2 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl13,plain,
    ( ( join @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ ( meet @ sk__1 @ sk__2 ) ) @ ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) )
   != ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(maddux1_join_commutativity,axiom,
    ! [X0: $i,X1: $i] :
      ( ( join @ X0 @ X1 )
      = ( join @ X1 @ X0 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl16,plain,
    ( ( join @ ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) @ ( composition @ ( meet @ sk_ @ ( converse @ sk__1 ) ) @ ( meet @ sk__1 @ sk__2 ) ) )
   != ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(composition_distributivity,axiom,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( composition @ ( join @ X0 @ X1 ) @ X2 )
      = ( join @ ( composition @ X0 @ X2 ) @ ( composition @ X1 @ X2 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( composition @ ( join @ X0 @ X2 ) @ X1 )
      = ( join @ ( composition @ X0 @ X1 ) @ ( composition @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[composition_distributivity]) ).

thf(zip_derived_cl173,plain,
    ( ( composition @ ( join @ sk_ @ ( meet @ sk_ @ ( converse @ sk__1 ) ) ) @ ( meet @ sk__1 @ sk__2 ) )
   != ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).

thf(maddux3_a_kind_of_de_Morgan,axiom,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux3_a_kind_of_de_Morgan]) ).

thf(maddux4_definiton_of_meet,axiom,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(composition_identity,axiom,
    ! [X0: $i] :
      ( ( composition @ X0 @ one )
      = X0 ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( composition @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[composition_identity]) ).

thf(converse_idempotence,axiom,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[converse_idempotence]) ).

thf(converse_multiplicativity,axiom,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( composition @ X0 @ X1 ) )
      = ( composition @ ( converse @ X1 ) @ ( converse @ X0 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( composition @ X1 @ X0 ) )
      = ( composition @ ( converse @ X0 ) @ ( converse @ X1 ) ) ),
    inference(cnf,[status(esa)],[converse_multiplicativity]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ( converse @ ( composition @ ( converse @ X0 ) @ X1 ) )
      = ( composition @ ( converse @ X1 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = ( composition @ ( converse @ one ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i] :
      ( ( converse @ ( converse @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[converse_idempotence]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( X0
      = ( composition @ ( converse @ one ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).

thf(zip_derived_cl130_002,plain,
    ! [X0: $i] :
      ( X0
      = ( composition @ ( converse @ one ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i] :
      ( ( composition @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[composition_identity]) ).

thf(zip_derived_cl132,plain,
    ( one
    = ( converse @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl5]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( X0
      = ( composition @ one @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl132]) ).

thf(converse_cancellativity,axiom,
    ! [X0: $i,X1: $i] :
      ( ( join @ ( composition @ ( converse @ X0 ) @ ( complement @ ( composition @ X0 @ X1 ) ) ) @ ( complement @ X1 ) )
      = ( complement @ X1 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ ( composition @ ( converse @ X1 ) @ ( complement @ ( composition @ X1 @ X0 ) ) ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference(cnf,[status(esa)],[converse_cancellativity]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i] :
      ( ( join @ ( composition @ ( converse @ one ) @ ( complement @ X0 ) ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl10]) ).

thf(zip_derived_cl132_004,plain,
    ( one
    = ( converse @ one ) ),
    inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl5]) ).

thf(zip_derived_cl136_005,plain,
    ! [X0: $i] :
      ( X0
      = ( composition @ one @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl132]) ).

thf(zip_derived_cl201,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl132,zip_derived_cl136]) ).

thf(zip_derived_cl3_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i] :
      ( ( meet @ X0 @ X0 )
      = ( complement @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl3]) ).

thf(def_zero,axiom,
    ! [X0: $i] :
      ( zero
      = ( meet @ X0 @ ( complement @ X0 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( zero
      = ( meet @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_zero]) ).

thf(zip_derived_cl205_007,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ zero @ ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl205]) ).

thf(zip_derived_cl3_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ zero @ ( meet @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl3]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl292,plain,
    ! [X0: $i] :
      ( ( join @ ( meet @ X0 @ X0 ) @ zero )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl0]) ).

thf(zip_derived_cl401,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ ( complement @ X0 ) ) @ zero )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl302,zip_derived_cl292]) ).

thf(def_top,axiom,
    ! [X0: $i] :
      ( top
      = ( join @ X0 @ ( complement @ X0 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( top
      = ( join @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_top]) ).

thf(zip_derived_cl3_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i] :
      ( ( meet @ X0 @ ( complement @ X0 ) )
      = ( complement @ top ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).

thf(zip_derived_cl12_011,plain,
    ! [X0: $i] :
      ( zero
      = ( meet @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_zero]) ).

thf(zip_derived_cl172,plain,
    ( zero
    = ( complement @ top ) ),
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl12]) ).

thf(zip_derived_cl3_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( meet @ X0 @ X1 )
      = ( complement @ ( join @ ( complement @ X0 ) @ ( complement @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[maddux4_definiton_of_meet]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ( meet @ X0 @ top )
      = ( complement @ ( join @ ( complement @ X0 ) @ zero ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl3]) ).

thf(zip_derived_cl1104,plain,
    ! [X0: $i] :
      ( ( meet @ ( complement @ X0 ) @ top )
      = ( complement @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl401,zip_derived_cl221]) ).

thf(zip_derived_cl201_013,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl132,zip_derived_cl136]) ).

thf(zip_derived_cl11_014,plain,
    ! [X0: $i] :
      ( top
      = ( join @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_top]) ).

thf(maddux2_join_associativity,axiom,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X1 @ X2 ) )
      = ( join @ ( join @ X0 @ X1 ) @ X2 ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X1 @ X2 ) )
      = ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[maddux2_join_associativity]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ ( join @ X0 @ ( complement @ ( join @ X1 @ X0 ) ) ) )
      = top ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl1172,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ ( join @ ( complement @ X0 ) @ ( complement @ ( complement @ X0 ) ) ) )
      = top ),
    inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl31]) ).

thf(zip_derived_cl11_015,plain,
    ! [X0: $i] :
      ( top
      = ( join @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_top]) ).

thf(zip_derived_cl1202,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ top )
      = top ),
    inference(demod,[status(thm)],[zip_derived_cl1172,zip_derived_cl11]) ).

thf(zip_derived_cl205_016,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl1272,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ top ) @ ( complement @ top ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1202,zip_derived_cl205]) ).

thf(zip_derived_cl172_017,plain,
    ( zero
    = ( complement @ top ) ),
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl12]) ).

thf(zip_derived_cl0_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl1279,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ zero @ ( meet @ X0 @ top ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1272,zip_derived_cl172,zip_derived_cl0]) ).

thf(zip_derived_cl1713,plain,
    ! [X0: $i] :
      ( ( complement @ X0 )
      = ( join @ zero @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1104,zip_derived_cl1279]) ).

thf(zip_derived_cl201_019,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl132,zip_derived_cl136]) ).

thf(zip_derived_cl205_020,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl301,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ ( complement @ X0 ) ) @ ( complement @ ( complement @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl205]) ).

thf(zip_derived_cl12_021,plain,
    ! [X0: $i] :
      ( zero
      = ( meet @ X0 @ ( complement @ X0 ) ) ),
    inference(cnf,[status(esa)],[def_zero]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i] :
      ( X0
      = ( join @ zero @ ( complement @ ( complement @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl12]) ).

thf(zip_derived_cl1729,plain,
    ! [X0: $i] :
      ( X0
      = ( complement @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl311]) ).

thf(zip_derived_cl201_022,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ X0 ) @ ( complement @ X0 ) )
      = ( complement @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl132,zip_derived_cl136]) ).

thf(zip_derived_cl1780,plain,
    ! [X0: $i] :
      ( ( join @ ( complement @ ( complement @ X0 ) ) @ X0 )
      = ( complement @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1729,zip_derived_cl201]) ).

thf(zip_derived_cl1729_023,plain,
    ! [X0: $i] :
      ( X0
      = ( complement @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl311]) ).

thf(zip_derived_cl1729_024,plain,
    ! [X0: $i] :
      ( X0
      = ( complement @ ( complement @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1713,zip_derived_cl311]) ).

thf(zip_derived_cl1800,plain,
    ! [X0: $i] :
      ( ( join @ X0 @ X0 )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1780,zip_derived_cl1729,zip_derived_cl1729]) ).

thf(zip_derived_cl1_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( join @ X0 @ ( join @ X1 @ X2 ) )
      = ( join @ ( join @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[maddux2_join_associativity]) ).

thf(zip_derived_cl1925,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X0 @ ( join @ X0 @ X1 ) )
      = ( join @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1800,zip_derived_cl1]) ).

thf(zip_derived_cl2615,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ ( meet @ X0 @ X1 ) @ X0 )
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl1925]) ).

thf(zip_derived_cl0_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X1 @ X0 )
      = ( join @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[maddux1_join_commutativity]) ).

thf(zip_derived_cl205_027,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( join @ ( meet @ X0 @ X1 ) @ ( complement @ ( join @ ( complement @ X0 ) @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl2637,plain,
    ! [X0: $i,X1: $i] :
      ( ( join @ X0 @ ( meet @ X0 @ X1 ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2615,zip_derived_cl0,zip_derived_cl205]) ).

thf(zip_derived_cl2753,plain,
    ( ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) )
   != ( composition @ sk_ @ ( meet @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl2637]) ).

thf(zip_derived_cl2754,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2753]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dzo5K721yC true
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 19:21:23 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.14  % Solved by fo/fo4.sh.
% 0.57/1.14  % done 340 iterations in 0.358s
% 0.57/1.14  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.14  % SZS output start Refutation
% See solution above
% 0.57/1.14  
% 0.57/1.14  
% 0.57/1.14  % Terminating...
% 1.79/1.19  % Runner terminated.
% 1.79/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------