TSTP Solution File: GRP659+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP659+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bmxXUFWzoI 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 01:52:45 EDT 2023

% Result   : Theorem 0.59s 1.05s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   98 (  90 unt;   4 typ;   0 def)
%            Number of atoms       :   98 (  97 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  683 (   7   ~;   2   |;   2   &; 672   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :  169 (   0   ^; 167   !;   2   ?; 169   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rd_type,type,
    rd: $i > $i > $i ).

thf(ld_type,type,
    ld: $i > $i > $i ).

thf(mult_type,type,
    mult: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(f03,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ ( rd @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(f05,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( mult @ ( mult @ A @ ( mult @ B @ C ) ) @ B )
      = ( mult @ ( mult @ A @ B ) @ ( mult @ C @ B ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X1 )
      = ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f05]) ).

thf(f04,axiom,
    ! [B: $i,A: $i] :
      ( ( rd @ ( mult @ A @ B ) @ B )
      = A ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X2 @ X0 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
      = ( mult @ X2 @ ( mult @ X0 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X2 @ X1 ) @ X0 ) @ X1 )
      = ( mult @ X2 @ ( mult @ X1 @ ( rd @ X0 @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( mult @ X0 @ ( rd @ X0 @ X0 ) ) )
      = ( mult @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl3]) ).

thf(f02,axiom,
    ! [B: $i,A: $i] :
      ( ( ld @ A @ ( mult @ A @ B ) )
      = B ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl1]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ X0 @ ( rd @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl1]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( ld @ X0 @ X0 )
      = ( rd @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl1]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).

thf(zip_derived_cl4_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X1 )
      = ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ ( ld @ X0 @ X0 ) )
      = ( mult @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) @ ( mult @ X0 @ ( ld @ X0 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl4]) ).

thf(f01,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ A @ ( ld @ A @ B ) )
      = B ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ ( ld @ X0 @ X0 ) )
      = ( mult @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl0]) ).

thf(zip_derived_cl136_006,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl4_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X1 )
      = ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X2 @ X0 ) @ X1 )
      = ( mult @ ( mult @ X2 @ X1 ) @ ( mult @ ( ld @ X1 @ X0 ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ ( ld @ X0 @ X0 ) @ X1 ) @ X0 )
      = ( mult @ X0 @ ( mult @ ( ld @ X0 @ X1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl18]) ).

thf(zip_derived_cl509,plain,
    ! [X0: $i] :
      ( ( mult @ ( mult @ ( ld @ X0 @ X0 ) @ X0 ) @ ( ld @ X0 @ X0 ) )
      = ( mult @ X0 @ ( mult @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl154,zip_derived_cl143]) ).

thf(zip_derived_cl136_009,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ X0 @ ( mult @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl509,zip_derived_cl136,zip_derived_cl0]) ).

thf(zip_derived_cl4_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X1 )
      = ( mult @ ( mult @ X0 @ X1 ) @ ( mult @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) )
      = ( mult @ ( mult @ X0 @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ) @ ( mult @ X0 @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl524,zip_derived_cl4]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl807,plain,
    ! [X0: $i] :
      ( ( ld @ X0 @ X0 )
      = ( mult @ ( ld @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl792,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl0_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl13_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X2 @ X0 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
      = ( mult @ X2 @ ( mult @ X0 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X2 @ ( ld @ X1 @ X0 ) ) @ X0 ) @ ( ld @ X1 @ X0 ) )
      = ( mult @ X2 @ ( mult @ ( ld @ X1 @ X0 ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).

thf(zip_derived_cl1218,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X0 ) @ ( ld @ X1 @ X0 ) )
      = ( mult @ X1 @ ( mult @ ( ld @ X1 @ X0 ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl29]) ).

thf(zip_derived_cl1301,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( ld @ X0 @ X0 ) @ ( ld @ X1 @ ( ld @ X0 @ X0 ) ) )
      = ( mult @ X1 @ ( mult @ ( ld @ X1 @ ( ld @ X0 @ X0 ) ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl807,zip_derived_cl1218]) ).

thf(zip_derived_cl0_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl3_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ X0 @ ( ld @ X1 @ X0 ) )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl1308,plain,
    ! [X0: $i,X1: $i] :
      ( X1
      = ( mult @ X1 @ ( mult @ ( ld @ X1 @ ( ld @ X0 @ X0 ) ) @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1301,zip_derived_cl10]) ).

thf(zip_derived_cl1_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl1320,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X0 @ X0 )
      = ( mult @ ( ld @ X0 @ ( ld @ X1 @ X1 ) ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1308,zip_derived_cl1]) ).

thf(zip_derived_cl3_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl1385,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( ld @ X0 @ X0 ) @ X0 )
      = ( ld @ X0 @ ( ld @ X1 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1320,zip_derived_cl3]) ).

thf(zip_derived_cl0_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl1530,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X0 @ ( rd @ ( ld @ X0 @ X0 ) @ X0 ) )
      = ( ld @ X1 @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1385,zip_derived_cl0]) ).

thf(zip_derived_cl524_023,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ X0 @ ( mult @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl509,zip_derived_cl136,zip_derived_cl0]) ).

thf(zip_derived_cl1_024,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl772,plain,
    ! [X0: $i] :
      ( ( ld @ X0 @ X0 )
      = ( mult @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl524,zip_derived_cl1]) ).

thf(zip_derived_cl3_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl826,plain,
    ! [X0: $i] :
      ( ( rd @ ( ld @ X0 @ X0 ) @ X0 )
      = ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl772,zip_derived_cl3]) ).

thf(zip_derived_cl0_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl154_027,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ ( ld @ X0 @ X0 ) )
      = ( mult @ ( mult @ X1 @ ( ld @ X0 @ X0 ) ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl0]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i] :
      ( ( mult @ ( mult @ X0 @ X0 ) @ ( ld @ X0 @ X0 ) )
      = ( mult @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl154]) ).

thf(zip_derived_cl1_028,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl526,plain,
    ! [X0: $i] :
      ( ( ld @ ( mult @ X0 @ X0 ) @ ( mult @ X0 @ X0 ) )
      = ( ld @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl1]) ).

thf(zip_derived_cl136_029,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ ( mult @ X0 @ X0 ) )
      = ( mult @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl526,zip_derived_cl136]) ).

thf(zip_derived_cl2_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( rd @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f03]) ).

thf(zip_derived_cl13_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ ( mult @ X2 @ X0 ) @ ( mult @ X1 @ X0 ) ) @ X0 )
      = ( mult @ X2 @ ( mult @ X0 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rd @ ( mult @ X0 @ ( mult @ X1 @ X2 ) ) @ X2 )
      = ( mult @ ( rd @ X0 @ X2 ) @ ( mult @ X2 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).

thf(zip_derived_cl587,plain,
    ! [X0: $i] :
      ( ( rd @ ( mult @ X0 @ X0 ) @ X0 )
      = ( mult @ ( rd @ ( ld @ X0 @ X0 ) @ X0 ) @ ( mult @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl34]) ).

thf(zip_derived_cl3_032,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl608,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ ( rd @ ( ld @ X0 @ X0 ) @ X0 ) @ ( mult @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl3]) ).

thf(zip_derived_cl826_033,plain,
    ! [X0: $i] :
      ( ( rd @ ( ld @ X0 @ X0 ) @ X0 )
      = ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl772,zip_derived_cl3]) ).

thf(zip_derived_cl921,plain,
    ! [X0: $i] :
      ( X0
      = ( mult @ ( ld @ X0 @ ( ld @ X0 @ X0 ) ) @ ( mult @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl608,zip_derived_cl826]) ).

thf(zip_derived_cl3_034,plain,
    ! [X0: $i,X1: $i] :
      ( ( rd @ ( mult @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[f04]) ).

thf(zip_derived_cl930,plain,
    ! [X0: $i] :
      ( ( rd @ X0 @ ( mult @ X0 @ X0 ) )
      = ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl921,zip_derived_cl3]) ).

thf(zip_derived_cl963,plain,
    ! [X0: $i] :
      ( ( rd @ ( ld @ X0 @ X0 ) @ X0 )
      = ( rd @ X0 @ ( mult @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl826,zip_derived_cl930]) ).

thf(zip_derived_cl930_035,plain,
    ! [X0: $i] :
      ( ( rd @ X0 @ ( mult @ X0 @ X0 ) )
      = ( ld @ X0 @ ( ld @ X0 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl921,zip_derived_cl3]) ).

thf(zip_derived_cl0_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl965,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ ( rd @ X0 @ ( mult @ X0 @ X0 ) ) )
      = ( ld @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl930,zip_derived_cl0]) ).

thf(zip_derived_cl1554,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X0 @ X0 )
      = ( ld @ X1 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1530,zip_derived_cl963,zip_derived_cl965]) ).

thf(zip_derived_cl0_037,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f01]) ).

thf(zip_derived_cl1565,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( ld @ X0 @ X0 ) )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl0]) ).

thf(goals,conjecture,
    ? [X0: $i] :
    ! [X1: $i] :
      ( ( ( mult @ X0 @ X1 )
        = X1 )
      & ( ( mult @ X1 @ X0 )
        = X1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X0: $i] :
      ! [X1: $i] :
        ( ( ( mult @ X0 @ X1 )
          = X1 )
        & ( ( mult @ X1 @ X0 )
          = X1 ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ( mult @ X0 @ ( sk_ @ X0 ) )
       != ( sk_ @ X0 ) )
      | ( ( mult @ ( sk_ @ X0 ) @ X0 )
       != ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i] :
      ( ( ( mult @ ( ld @ X0 @ X0 ) @ ( sk_ @ ( ld @ X0 @ X0 ) ) )
       != ( sk_ @ ( ld @ X0 @ X0 ) ) )
      | ( ( sk_ @ ( ld @ X0 @ X0 ) )
       != ( sk_ @ ( ld @ X0 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1565,zip_derived_cl5]) ).

thf(zip_derived_cl1724,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ ( sk_ @ ( ld @ X0 @ X0 ) ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1676]) ).

thf(zip_derived_cl1554_038,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X0 @ X0 )
      = ( ld @ X1 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1530,zip_derived_cl963,zip_derived_cl965]) ).

thf(zip_derived_cl136_039,plain,
    ! [X0: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X0 )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl2]) ).

thf(zip_derived_cl1571,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( ld @ X0 @ X0 ) @ X1 )
      = X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl136]) ).

thf(zip_derived_cl1819,plain,
    ! [X0: $i] :
      ( ( sk_ @ ( ld @ X0 @ X0 ) )
     != ( sk_ @ ( ld @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1724,zip_derived_cl1571]) ).

thf(zip_derived_cl1820,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1819]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP659+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bmxXUFWzoI true
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon Aug 28 20:50:38 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.05  % Solved by fo/fo1_av.sh.
% 0.59/1.05  % done 131 iterations in 0.290s
% 0.59/1.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.05  % SZS output start Refutation
% See solution above
% 0.59/1.05  
% 0.59/1.05  
% 0.59/1.06  % Terminating...
% 0.59/1.09  % Runner terminated.
% 0.59/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------