%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP774+1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4MDl3l6nwp 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 Oct 2 04:37:13 PM UTC 2025
% Result : Theorem 230.37s 33.53s
% Output : Refutation 230.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 147 ( 136 unt; 0 typ; 0 def)
% Number of atoms : 162 ( 144 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1476 ( 15 ~; 9 |; 3 &;1446 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 268 ( 0 ^; 268 !; 0 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_type,type,
product: $i > $i > $i ).
thf(d_type,type,
d: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sos01,axiom,
! [C: $i,B: $i,A: $i] :
( ( product @ ( product @ A @ B ) @ C )
= ( product @ A @ ( product @ B @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X2 @ ( product @ X1 @ X0 ) ) @ X3 )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X0 @ X3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X2 @ ( product @ X1 @ X0 ) ) @ X3 )
= ( product @ X2 @ ( product @ X1 @ ( product @ X0 @ X3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).
thf(sos02,axiom,
! [A: $i] :
( ( product @ A @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ X0 )
= ( product @ X1 @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) )
= ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ ( product @ X0 @ ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl42]) ).
thf(goals,conjecture,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( d @ X2 @ X3 )
& ( d @ X4 @ X5 ) )
=> ( d @ ( product @ X2 @ X4 ) @ ( product @ X3 @ X5 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( d @ X2 @ X3 )
& ( d @ X4 @ X5 ) )
=> ( d @ ( product @ X2 @ X4 ) @ ( product @ X3 @ X5 ) ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl7,plain,
d @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos03,axiom,
! [X0: $i,X1: $i] :
( ( d @ X0 @ X1 )
<=> ( ( ( product @ X0 @ ( product @ X1 @ X0 ) )
= X0 )
& ( ( product @ X1 @ ( product @ X0 @ X1 ) )
= X1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ ( product @ X1 @ X0 ) )
= X0 )
| ~ ( d @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl36,plain,
( ( product @ sk_ @ ( product @ sk__1 @ sk_ ) )
= sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl42_007,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ X0 )
= ( product @ X1 @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X0 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl42]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X0 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl0]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl175]) ).
thf(zip_derived_cl1736,plain,
( ( product @ sk_ @ ( product @ sk__1 @ sk_ ) )
= ( product @ ( product @ sk_ @ sk__1 ) @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl530]) ).
thf(zip_derived_cl36_009,plain,
( ( product @ sk_ @ ( product @ sk__1 @ sk_ ) )
= sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl1806,plain,
( sk_
= ( product @ ( product @ sk_ @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1736,zip_derived_cl36]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1895,plain,
! [X0: $i] :
( ( product @ sk_ @ X0 )
= ( product @ ( product @ sk_ @ sk__1 ) @ ( product @ sk_ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1806,zip_derived_cl0]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl43_012,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl43]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl2032,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ ( product @ sk_ @ sk__1 ) @ ( product @ sk_ @ X0 ) ) )
= ( product @ X1 @ ( product @ ( product @ sk_ @ sk__1 ) @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1895,zip_derived_cl123]) ).
thf(zip_derived_cl1895_015,plain,
! [X0: $i] :
( ( product @ sk_ @ X0 )
= ( product @ ( product @ sk_ @ sk__1 ) @ ( product @ sk_ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1806,zip_derived_cl0]) ).
thf(zip_derived_cl0_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2084,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk_ @ X0 ) )
= ( product @ X1 @ ( product @ sk_ @ ( product @ sk__1 @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2032,zip_derived_cl1895,zip_derived_cl0]) ).
thf(zip_derived_cl5069,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk_ @ ( product @ X0 @ ( product @ sk__1 @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ) )
= ( product @ X1 @ ( product @ sk_ @ ( product @ sk__1 @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl2084]) ).
thf(zip_derived_cl2084_017,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk_ @ X0 ) )
= ( product @ X1 @ ( product @ sk_ @ ( product @ sk__1 @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2032,zip_derived_cl1895,zip_derived_cl0]) ).
thf(zip_derived_cl5125,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk_ @ ( product @ X0 @ ( product @ sk__1 @ ( product @ X1 @ ( product @ sk_ @ X0 ) ) ) ) ) )
= ( product @ X1 @ ( product @ sk_ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5069,zip_derived_cl2084]) ).
thf(zip_derived_cl6,plain,
d @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_018,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ ( product @ X1 @ X0 ) )
= X0 )
| ~ ( d @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl31,plain,
( ( product @ sk__2 @ ( product @ sk__3 @ sk__2 ) )
= sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl530_019,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl175]) ).
thf(zip_derived_cl1738,plain,
( ( product @ sk__2 @ ( product @ sk__3 @ sk__2 ) )
= ( product @ ( product @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl530]) ).
thf(zip_derived_cl31_020,plain,
( ( product @ sk__2 @ ( product @ sk__3 @ sk__2 ) )
= sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl1808,plain,
( sk__2
= ( product @ ( product @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl31]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1959,plain,
! [X0: $i] :
( ( product @ sk__2 @ X0 )
= ( product @ ( product @ sk__2 @ sk__3 ) @ ( product @ sk__2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1808,zip_derived_cl0]) ).
thf(zip_derived_cl123_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl2200,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ ( product @ sk__2 @ sk__3 ) @ ( product @ sk__2 @ X0 ) ) )
= ( product @ X1 @ ( product @ ( product @ sk__2 @ sk__3 ) @ ( product @ X1 @ ( product @ sk__2 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1959,zip_derived_cl123]) ).
thf(zip_derived_cl1959_023,plain,
! [X0: $i] :
( ( product @ sk__2 @ X0 )
= ( product @ ( product @ sk__2 @ sk__3 ) @ ( product @ sk__2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1808,zip_derived_cl0]) ).
thf(zip_derived_cl0_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2252,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__2 @ X0 ) )
= ( product @ X1 @ ( product @ sk__2 @ ( product @ sk__3 @ ( product @ X1 @ ( product @ sk__2 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2200,zip_derived_cl1959,zip_derived_cl0]) ).
thf(zip_derived_cl78325,plain,
( ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) ) )
= ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5125,zip_derived_cl2252]) ).
thf(zip_derived_cl1808_025,plain,
( sk__2
= ( product @ ( product @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl31]) ).
thf(zip_derived_cl123_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl1968,plain,
! [X0: $i] :
( ( product @ X0 @ ( product @ ( product @ sk__2 @ sk__3 ) @ sk__2 ) )
= ( product @ X0 @ ( product @ ( product @ sk__2 @ sk__3 ) @ ( product @ X0 @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1808,zip_derived_cl123]) ).
thf(zip_derived_cl1808_027,plain,
( sk__2
= ( product @ ( product @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl31]) ).
thf(zip_derived_cl0_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1984,plain,
! [X0: $i] :
( ( product @ X0 @ sk__2 )
= ( product @ X0 @ ( product @ sk__2 @ ( product @ sk__3 @ ( product @ X0 @ sk__2 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1968,zip_derived_cl1808,zip_derived_cl0]) ).
thf(zip_derived_cl79026,plain,
( ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) ) )
= ( product @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl78325,zip_derived_cl1984]) ).
thf(zip_derived_cl7_029,plain,
d @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ ( product @ X1 @ X0 ) )
= X0 )
| ~ ( d @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl37,plain,
( ( product @ sk__1 @ ( product @ sk_ @ sk__1 ) )
= sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(zip_derived_cl530_030,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl175]) ).
thf(zip_derived_cl1737,plain,
( ( product @ sk__1 @ ( product @ sk_ @ sk__1 ) )
= ( product @ ( product @ sk__1 @ sk_ ) @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl530]) ).
thf(zip_derived_cl37_031,plain,
( ( product @ sk__1 @ ( product @ sk_ @ sk__1 ) )
= sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(zip_derived_cl1807,plain,
( sk__1
= ( product @ ( product @ sk__1 @ sk_ ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1737,zip_derived_cl37]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1927,plain,
! [X0: $i] :
( ( product @ sk__1 @ X0 )
= ( product @ ( product @ sk__1 @ sk_ ) @ ( product @ sk__1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1807,zip_derived_cl0]) ).
thf(zip_derived_cl123_033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl2116,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ ( product @ sk__1 @ sk_ ) @ ( product @ sk__1 @ X0 ) ) )
= ( product @ X1 @ ( product @ ( product @ sk__1 @ sk_ ) @ ( product @ X1 @ ( product @ sk__1 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1927,zip_derived_cl123]) ).
thf(zip_derived_cl1927_034,plain,
! [X0: $i] :
( ( product @ sk__1 @ X0 )
= ( product @ ( product @ sk__1 @ sk_ ) @ ( product @ sk__1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1807,zip_derived_cl0]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2168,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__1 @ X0 ) )
= ( product @ X1 @ ( product @ sk__1 @ ( product @ sk_ @ ( product @ X1 @ ( product @ sk__1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2116,zip_derived_cl1927,zip_derived_cl0]) ).
thf(zip_derived_cl79464,plain,
( ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) )
= ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk_ @ sk__2 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl79026,zip_derived_cl2168]) ).
thf(zip_derived_cl6_036,plain,
d @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_037,plain,
! [X0: $i,X1: $i] :
( ( ( product @ X0 @ ( product @ X1 @ X0 ) )
= X0 )
| ~ ( d @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl32,plain,
( ( product @ sk__3 @ ( product @ sk__2 @ sk__3 ) )
= sk__3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl530_038,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl175]) ).
thf(zip_derived_cl1739,plain,
( ( product @ sk__3 @ ( product @ sk__2 @ sk__3 ) )
= ( product @ ( product @ sk__3 @ sk__2 ) @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl530]) ).
thf(zip_derived_cl32_039,plain,
( ( product @ sk__3 @ ( product @ sk__2 @ sk__3 ) )
= sk__3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl1809,plain,
( sk__3
= ( product @ ( product @ sk__3 @ sk__2 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1739,zip_derived_cl32]) ).
thf(zip_derived_cl0_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl1991,plain,
! [X0: $i] :
( ( product @ sk__3 @ X0 )
= ( product @ ( product @ sk__3 @ sk__2 ) @ ( product @ sk__3 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1809,zip_derived_cl0]) ).
thf(zip_derived_cl123_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl2284,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ ( product @ sk__3 @ sk__2 ) @ ( product @ sk__3 @ X0 ) ) )
= ( product @ X1 @ ( product @ ( product @ sk__3 @ sk__2 ) @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1991,zip_derived_cl123]) ).
thf(zip_derived_cl1991_042,plain,
! [X0: $i] :
( ( product @ sk__3 @ X0 )
= ( product @ ( product @ sk__3 @ sk__2 ) @ ( product @ sk__3 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1809,zip_derived_cl0]) ).
thf(zip_derived_cl0_043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2336,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__3 @ X0 ) )
= ( product @ X1 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2284,zip_derived_cl1991,zip_derived_cl0]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl123_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl123]) ).
thf(zip_derived_cl0_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) )
= ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl0]) ).
thf(zip_derived_cl20349,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) )
= ( product @ ( product @ X1 @ sk__3 ) @ ( product @ sk__2 @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2336,zip_derived_cl326]) ).
thf(zip_derived_cl2336_047,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__3 @ X0 ) )
= ( product @ X1 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2284,zip_derived_cl1991,zip_derived_cl0]) ).
thf(zip_derived_cl20778,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__3 @ X0 ) )
= ( product @ ( product @ X1 @ sk__3 ) @ ( product @ sk__2 @ ( product @ X1 @ ( product @ sk__3 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20349,zip_derived_cl2336]) ).
thf(zip_derived_cl82089,plain,
( ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) )
= ( product @ ( product @ sk__1 @ sk__3 ) @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk_ @ sk__2 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl79464,zip_derived_cl20778]) ).
thf(zip_derived_cl42_048,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ X0 )
= ( product @ X1 @ ( product @ X0 @ ( product @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl43_049,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl326_050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) )
= ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl0]) ).
thf(zip_derived_cl20427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ ( product @ X1 @ X0 ) ) )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl326]) ).
thf(zip_derived_cl43_051,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl20856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X2 @ X1 ) @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20427,zip_derived_cl43]) ).
thf(zip_derived_cl42948,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl20856]) ).
thf(zip_derived_cl87636,plain,
( ( product @ ( product @ sk__1 @ sk__3 ) @ ( product @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk_ @ sk__2 ) ) ) @ ( product @ sk__1 @ sk__3 ) ) )
= ( product @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) @ ( product @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk_ @ sk__2 ) ) ) @ ( product @ sk__1 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl82089,zip_derived_cl42948]) ).
thf(zip_derived_cl0_052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2168_055,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__1 @ X0 ) )
= ( product @ X1 @ ( product @ sk__1 @ ( product @ sk_ @ ( product @ X1 @ ( product @ sk__1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2116,zip_derived_cl1927,zip_derived_cl0]) ).
thf(zip_derived_cl1809_056,plain,
( sk__3
= ( product @ ( product @ sk__3 @ sk__2 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1739,zip_derived_cl32]) ).
thf(zip_derived_cl123_057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ X1 @ X0 ) )
= ( product @ X2 @ ( product @ X1 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl2000,plain,
! [X0: $i] :
( ( product @ X0 @ ( product @ ( product @ sk__3 @ sk__2 ) @ sk__3 ) )
= ( product @ X0 @ ( product @ ( product @ sk__3 @ sk__2 ) @ ( product @ X0 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1809,zip_derived_cl123]) ).
thf(zip_derived_cl1809_058,plain,
( sk__3
= ( product @ ( product @ sk__3 @ sk__2 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1739,zip_derived_cl32]) ).
thf(zip_derived_cl0_059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2016,plain,
! [X0: $i] :
( ( product @ X0 @ sk__3 )
= ( product @ X0 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X0 @ sk__3 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl1809,zip_derived_cl0]) ).
thf(zip_derived_cl326_060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) )
= ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ ( product @ X3 @ ( product @ X2 @ ( product @ X1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl0]) ).
thf(zip_derived_cl20345,plain,
! [X0: $i] :
( ( product @ X0 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X0 @ sk__3 ) ) ) )
= ( product @ ( product @ X0 @ sk__3 ) @ ( product @ sk__2 @ ( product @ X0 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl326]) ).
thf(zip_derived_cl2016_061,plain,
! [X0: $i] :
( ( product @ X0 @ sk__3 )
= ( product @ X0 @ ( product @ sk__3 @ ( product @ sk__2 @ ( product @ X0 @ sk__3 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl1809,zip_derived_cl0]) ).
thf(zip_derived_cl20774,plain,
! [X0: $i] :
( ( product @ X0 @ sk__3 )
= ( product @ ( product @ X0 @ sk__3 ) @ ( product @ sk__2 @ ( product @ X0 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20345,zip_derived_cl2016]) ).
thf(zip_derived_cl0_062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl2168_065,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ sk__1 @ X0 ) )
= ( product @ X1 @ ( product @ sk__1 @ ( product @ sk_ @ ( product @ X1 @ ( product @ sk__1 @ X0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2116,zip_derived_cl1927,zip_derived_cl0]) ).
thf(zip_derived_cl0_066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl43_069,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl87748,plain,
( ( product @ sk__1 @ sk__3 )
= ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ sk__3 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl87636,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl2168,zip_derived_cl20774,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl2168,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl43]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( d @ X0 @ X1 )
| ( ( product @ X1 @ ( product @ X0 @ X1 ) )
!= X1 )
| ( ( product @ X0 @ ( product @ X1 @ X0 ) )
!= X0 ) ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl5,plain,
~ ( d @ ( product @ sk_ @ sk__2 ) @ ( product @ sk__1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
( ( ( product @ ( product @ sk_ @ sk__2 ) @ ( product @ ( product @ sk__1 @ sk__3 ) @ ( product @ sk_ @ sk__2 ) ) )
!= ( product @ sk_ @ sk__2 ) )
| ( ( product @ ( product @ sk__1 @ sk__3 ) @ ( product @ ( product @ sk_ @ sk__2 ) @ ( product @ sk__1 @ sk__3 ) ) )
!= ( product @ sk__1 @ sk__3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl0_070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl0_073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X0 @ X1 ) @ X2 )
= ( product @ X0 @ ( product @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl262,plain,
( ( ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) ) )
!= ( product @ sk_ @ sk__2 ) )
| ( ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ sk__3 ) ) ) ) )
!= ( product @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl79026_074,plain,
( ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ sk__2 ) ) ) ) )
= ( product @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl78325,zip_derived_cl1984]) ).
thf(zip_derived_cl79318,plain,
( ( ( product @ sk_ @ sk__2 )
!= ( product @ sk_ @ sk__2 ) )
| ( ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ sk__3 ) ) ) ) )
!= ( product @ sk__1 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl79026]) ).
thf(zip_derived_cl79319,plain,
( ( product @ sk__1 @ ( product @ sk__3 @ ( product @ sk_ @ ( product @ sk__2 @ ( product @ sk__1 @ sk__3 ) ) ) ) )
!= ( product @ sk__1 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl79318]) ).
thf(zip_derived_cl87749,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl87748,zip_derived_cl79319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP774+1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4MDl3l6nwp true
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:19:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.58/0.58 % Total configuration time : 435
% 0.58/0.58 % Estimated wc time : 1092
% 0.58/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 230.37/33.53 % Solved by fo/fo3_bce.sh.
% 230.37/33.53 % BCE start: 8
% 230.37/33.53 % BCE eliminated: 0
% 230.37/33.53 % PE start: 8
% 230.37/33.53 logic: eq
% 230.37/33.53 % PE eliminated: -1
% 230.37/33.53 % done 763 iterations in 32.832s
% 230.37/33.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 230.37/33.53 % SZS output start Refutation
% See solution above
% 230.37/33.53
% 230.37/33.53
% 230.37/33.53 % Terminating...
% 230.37/33.57 % Runner terminated.
% 230.37/33.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------