TSTP Solution File: GRP777+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iWI2wQ6zft true
% Computer : n007.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 01:53:16 EDT 2023
% Result : Theorem 28.53s 4.64s
% Output : Refutation 28.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 18
% Syntax : Number of formulae : 227 ( 219 unt; 8 typ; 0 def)
% Number of atoms : 219 ( 218 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1797 ( 3 ~; 0 |; 0 &;1794 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 395 ( 0 ^; 395 !; 0 ?; 395 :)
% Comments :
%------------------------------------------------------------------------------
thf(quotient_type,type,
quotient: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(product_type,type,
product: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(c_type,type,
c: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(bigC_type,type,
bigC: $i > $i > $i > $i ).
thf(goals,conjecture,
! [X0: $i] :
( ( bigC @ a @ b @ X0 )
= ( bigC @ c @ c @ X0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: $i] :
( ( bigC @ a @ b @ X0 )
= ( bigC @ c @ c @ X0 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl9,plain,
( ( bigC @ a @ b @ sk_ )
!= ( bigC @ c @ c @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos09,axiom,
( ( product @ ( product @ a @ c ) @ ( product @ c @ b ) )
= ( product @ a @ b ) ) ).
thf(zip_derived_cl8,plain,
( ( product @ ( product @ a @ c ) @ ( product @ c @ b ) )
= ( product @ a @ b ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(sos06,axiom,
! [A: $i] :
( ( product @ A @ A )
= A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(sos08,axiom,
! [C: $i,B: $i,A: $i] :
( ( bigC @ A @ B @ C )
= ( product @ ( product @ A @ B ) @ ( product @ C @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X1 @ X0 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl169,plain,
( ( bigC @ ( product @ a @ c ) @ ( product @ c @ b ) @ ( product @ a @ c ) )
= ( product @ ( product @ a @ b ) @ ( product @ a @ c ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl23]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(sos05,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( product @ ( product @ A @ B ) @ ( product @ C @ D ) )
= ( product @ ( product @ A @ C ) @ ( product @ B @ D ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X1 @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl7_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(sos01,axiom,
! [B: $i,A: $i] :
( ( difference @ A @ ( product @ A @ B ) )
= B ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( bigC @ X1 @ X1 @ X0 ) )
= ( product @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).
thf(zip_derived_cl611,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( bigC @ X0 @ X1 @ X0 ) )
= ( product @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl176]) ).
thf(zip_derived_cl900,plain,
( ( difference @ ( product @ a @ c ) @ ( product @ ( product @ a @ b ) @ ( product @ a @ c ) ) )
= ( product @ ( product @ c @ b ) @ ( product @ a @ c ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl611]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl903,plain,
( ( difference @ ( product @ a @ c ) @ ( product @ ( product @ a @ b ) @ ( product @ a @ c ) ) )
= ( bigC @ c @ b @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl900,zip_derived_cl7]) ).
thf(sos02,axiom,
! [B: $i,A: $i] :
( ( product @ A @ ( difference @ A @ B ) )
= B ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl1102,plain,
( ( product @ ( product @ a @ c ) @ ( bigC @ c @ b @ a ) )
= ( product @ ( product @ a @ b ) @ ( product @ a @ c ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl903,zip_derived_cl1]) ).
thf(zip_derived_cl5_006,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl4_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X0 @ ( product @ X2 @ X1 ) )
= ( product @ ( product @ X0 @ X2 ) @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl6766,plain,
( ( product @ ( product @ a @ c ) @ ( bigC @ c @ b @ a ) )
= ( product @ a @ ( product @ b @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1102,zip_derived_cl58]) ).
thf(sos04,axiom,
! [B: $i,A: $i] :
( ( product @ ( quotient @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl27_008,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X1 @ X1 @ ( quotient @ X0 @ X1 ) )
= ( product @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).
thf(zip_derived_cl5_009,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl51_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X1 @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl522,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(sos03,axiom,
! [B: $i,A: $i] :
( ( quotient @ ( product @ A @ B ) @ B )
= A ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( bigC @ X1 @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl2]) ).
thf(zip_derived_cl861,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl7145,plain,
( ( quotient @ ( product @ a @ ( product @ b @ c ) ) @ ( product @ a @ c ) )
= ( product @ ( product @ a @ c ) @ ( quotient @ ( bigC @ c @ b @ a ) @ ( product @ a @ c ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6766,zip_derived_cl861]) ).
thf(zip_derived_cl7_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl2_012,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( quotient @ ( bigC @ X2 @ X1 @ X0 ) @ ( product @ X0 @ X2 ) )
= ( product @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl8_013,plain,
( ( product @ ( product @ a @ c ) @ ( product @ c @ b ) )
= ( product @ a @ b ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl7198,plain,
( ( quotient @ ( product @ a @ ( product @ b @ c ) ) @ ( product @ a @ c ) )
= ( product @ a @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl7145,zip_derived_cl19,zip_derived_cl8]) ).
thf(zip_derived_cl6766_014,plain,
( ( product @ ( product @ a @ c ) @ ( bigC @ c @ b @ a ) )
= ( product @ a @ ( product @ b @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1102,zip_derived_cl58]) ).
thf(zip_derived_cl8_015,plain,
( ( product @ ( product @ a @ c ) @ ( product @ c @ b ) )
= ( product @ a @ b ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(sos07,axiom,
! [B: $i,A: $i] :
( ( product @ ( product @ ( product @ A @ B ) @ B ) @ ( product @ B @ ( product @ B @ A ) ) )
= B ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ ( product @ X0 @ ( product @ X0 @ X1 ) ) )
= X0 ),
inference(cnf,[status(esa)],[sos07]) ).
thf(zip_derived_cl133,plain,
( ( product @ ( product @ ( product @ a @ b ) @ ( product @ c @ b ) ) @ ( product @ ( product @ c @ b ) @ ( product @ ( product @ c @ b ) @ ( product @ a @ c ) ) ) )
= ( product @ c @ b ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).
thf(zip_derived_cl4_016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_017,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl7_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl145,plain,
( ( product @ ( product @ ( product @ a @ c ) @ b ) @ ( product @ ( product @ c @ b ) @ ( bigC @ c @ b @ a ) ) )
= ( product @ c @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl4_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( difference @ ( product @ X3 @ X1 ) @ ( product @ ( product @ X3 @ X2 ) @ ( product @ X1 @ X0 ) ) )
= ( product @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2285,plain,
( ( difference @ ( product @ ( product @ a @ c ) @ ( product @ c @ b ) ) @ ( product @ c @ b ) )
= ( product @ b @ ( bigC @ c @ b @ a ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl34]) ).
thf(zip_derived_cl8_021,plain,
( ( product @ ( product @ a @ c ) @ ( product @ c @ b ) )
= ( product @ a @ b ) ),
inference(cnf,[status(esa)],[sos09]) ).
thf(zip_derived_cl2378,plain,
( ( difference @ ( product @ a @ b ) @ ( product @ c @ b ) )
= ( product @ b @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2285,zip_derived_cl8]) ).
thf(zip_derived_cl1_022,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl2_023,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( difference @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2381,plain,
( ( quotient @ ( product @ c @ b ) @ ( product @ b @ ( bigC @ c @ b @ a ) ) )
= ( product @ a @ b ) ),
inference('sup+',[status(thm)],[zip_derived_cl2378,zip_derived_cl14]) ).
thf(zip_derived_cl861_024,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl3_025,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl904,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ X0 @ ( quotient @ X1 @ X0 ) ) @ X0 )
= ( product @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl861,zip_derived_cl3]) ).
thf(zip_derived_cl2616,plain,
( ( product @ ( product @ ( product @ b @ ( bigC @ c @ b @ a ) ) @ ( product @ a @ b ) ) @ ( product @ b @ ( bigC @ c @ b @ a ) ) )
= ( product @ ( product @ b @ ( bigC @ c @ b @ a ) ) @ ( product @ c @ b ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2381,zip_derived_cl904]) ).
thf(zip_derived_cl7_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl7_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl2633,plain,
( ( product @ ( bigC @ b @ a @ ( bigC @ c @ b @ a ) ) @ ( product @ b @ ( bigC @ c @ b @ a ) ) )
= ( bigC @ b @ c @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2616,zip_derived_cl7,zip_derived_cl520,zip_derived_cl7,zip_derived_cl520]) ).
thf(zip_derived_cl2381_030,plain,
( ( quotient @ ( product @ c @ b ) @ ( product @ b @ ( bigC @ c @ b @ a ) ) )
= ( product @ a @ b ) ),
inference('sup+',[status(thm)],[zip_derived_cl2378,zip_derived_cl14]) ).
thf(zip_derived_cl1_031,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl7_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ ( difference @ X1 @ X0 ) @ X2 @ X1 )
= ( product @ ( product @ ( difference @ X1 @ X0 ) @ X2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl1_033,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl6_034,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ ( product @ X0 @ ( product @ X0 @ X1 ) ) )
= X0 ),
inference(cnf,[status(esa)],[sos07]) ).
thf(zip_derived_cl2_035,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( product @ X0 @ ( product @ X0 @ X1 ) ) )
= ( product @ ( product @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl7303,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X1 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ ( difference @ X1 @ X0 ) @ X1 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl104]) ).
thf(zip_derived_cl1_036,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl522_037,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl581,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X1 @ X1 @ ( difference @ X1 @ X0 ) )
= ( product @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl522]) ).
thf(zip_derived_cl176_038,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( bigC @ X1 @ X1 @ X0 ) )
= ( product @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).
thf(zip_derived_cl869,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl176]) ).
thf(zip_derived_cl869_039,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl176]) ).
thf(zip_derived_cl7362,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X1 @ ( product @ X1 @ X0 ) )
= ( difference @ X1 @ ( product @ ( product @ X0 @ X1 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7303,zip_derived_cl869,zip_derived_cl869]) ).
thf(zip_derived_cl23_040,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X1 @ X0 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl3_041,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl3_042,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl6_043,plain,
! [X0: $i,X1: $i] :
( ( product @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ ( product @ X0 @ ( product @ X0 @ X1 ) ) )
= X0 ),
inference(cnf,[status(esa)],[sos07]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( product @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl7079,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X0 @ X1 ) @ X1 )
= ( product @ X1 @ ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl102]) ).
thf(zip_derived_cl861_045,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl9680,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( difference @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( product @ X0 @ ( quotient @ ( product @ X0 @ ( quotient @ X1 @ X0 ) ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7079,zip_derived_cl861]) ).
thf(zip_derived_cl861_046,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl7079_047,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X0 @ X1 ) @ X1 )
= ( product @ X1 @ ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl102]) ).
thf(zip_derived_cl3_048,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl9816,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( difference @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( difference @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9680,zip_derived_cl861,zip_derived_cl7079,zip_derived_cl3]) ).
thf(zip_derived_cl9904,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( difference @ X0 @ X1 ) @ X1 )
= ( difference @ ( quotient @ X0 @ X1 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl9816]) ).
thf(zip_derived_cl3_049,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl10091,plain,
! [X0: $i,X1: $i] :
( ( product @ ( difference @ ( quotient @ X1 @ X0 ) @ X0 ) @ X0 )
= ( difference @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9904,zip_derived_cl3]) ).
thf(zip_derived_cl1_050,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl58_051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X0 @ ( product @ X2 @ X1 ) )
= ( product @ ( product @ X0 @ X2 ) @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl6917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X2 @ ( product @ ( difference @ X2 @ X0 ) @ X1 ) )
= ( product @ X0 @ ( product @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl58]) ).
thf(zip_derived_cl11007,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X1 @ X0 ) @ ( difference @ X1 @ X0 ) )
= ( product @ X0 @ ( product @ ( quotient @ X1 @ X0 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10091,zip_derived_cl6917]) ).
thf(zip_derived_cl3_052,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl11077,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X1 @ X0 ) @ ( difference @ X1 @ X0 ) )
= ( product @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl11007,zip_derived_cl3]) ).
thf(zip_derived_cl2_053,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl11913,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ ( difference @ X0 @ X1 ) )
= ( quotient @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11077,zip_derived_cl2]) ).
thf(zip_derived_cl12935,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( bigC @ X0 @ X1 @ X0 ) @ ( difference @ X0 @ ( product @ X0 @ X1 ) ) )
= ( quotient @ X0 @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl11913]) ).
thf(zip_derived_cl0_054,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl13024,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( bigC @ X0 @ X1 @ X0 ) @ X1 )
= ( quotient @ X0 @ ( product @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12935,zip_derived_cl0]) ).
thf(zip_derived_cl11077_055,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X1 @ X0 ) @ ( difference @ X1 @ X0 ) )
= ( product @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl11007,zip_derived_cl3]) ).
thf(zip_derived_cl1_056,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl58_057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X0 @ ( product @ X2 @ X1 ) )
= ( product @ ( product @ X0 @ X2 ) @ ( product @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl6871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ X1 @ ( product @ X2 @ ( difference @ X1 @ X0 ) ) )
= ( product @ ( product @ X1 @ X2 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl58]) ).
thf(zip_derived_cl11961,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( product @ X0 @ ( quotient @ X0 @ X1 ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11077,zip_derived_cl6871]) ).
thf(zip_derived_cl5_058,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl51_059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X1 @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl536,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X1 @ X0 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl12118,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X1 @ X0 )
= ( product @ ( product @ X0 @ ( quotient @ X0 @ X1 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl11961,zip_derived_cl536]) ).
thf(zip_derived_cl2_060,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl14569,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( bigC @ X0 @ X1 @ X0 ) @ X1 )
= ( product @ X0 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12118,zip_derived_cl2]) ).
thf(zip_derived_cl15262,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( quotient @ X0 @ X1 ) )
= ( quotient @ X0 @ ( product @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13024,zip_derived_cl14569]) ).
thf(zip_derived_cl19796,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X1 @ X0 ) )
= ( difference @ X1 @ ( product @ ( product @ X0 @ X1 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7362,zip_derived_cl15262]) ).
thf(zip_derived_cl19826,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X1 @ ( difference @ X0 @ X1 ) ) )
= ( difference @ X1 @ ( bigC @ ( difference @ X0 @ X1 ) @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl19796]) ).
thf(zip_derived_cl14_061,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( difference @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl19935,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ X0 )
= ( difference @ X1 @ ( bigC @ ( difference @ X0 @ X1 ) @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19826,zip_derived_cl14]) ).
thf(zip_derived_cl1_062,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( difference @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos02]) ).
thf(zip_derived_cl20342,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( product @ X1 @ X0 ) )
= ( bigC @ ( difference @ X0 @ X1 ) @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19935,zip_derived_cl1]) ).
thf(zip_derived_cl51_063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X1 @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl2_064,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( quotient @ ( bigC @ X2 @ X1 @ X0 ) @ ( product @ X1 @ X2 ) )
= ( product @ X2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl2]) ).
thf(zip_derived_cl20518,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ ( product @ X1 @ X0 ) ) @ ( product @ X1 @ ( difference @ X0 @ X1 ) ) )
= ( product @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20342,zip_derived_cl497]) ).
thf(zip_derived_cl14_065,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( difference @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl15262_066,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ ( quotient @ X0 @ X1 ) )
= ( quotient @ X0 @ ( product @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13024,zip_derived_cl14569]) ).
thf(zip_derived_cl3_067,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl0_068,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( quotient @ X0 @ X1 ) @ X0 )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl15331,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X1 @ ( quotient @ X1 @ X0 ) ) @ X1 )
= ( product @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15262,zip_derived_cl15]) ).
thf(zip_derived_cl16583,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( difference @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl15331]) ).
thf(zip_derived_cl11913_069,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ ( difference @ X0 @ X1 ) )
= ( quotient @ X0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11077,zip_derived_cl2]) ).
thf(zip_derived_cl861_070,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl869_071,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl176]) ).
thf(zip_derived_cl20658,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X0 @ X1 ) )
= ( difference @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20518,zip_derived_cl16583,zip_derived_cl11913,zip_derived_cl861,zip_derived_cl869]) ).
thf(zip_derived_cl20938,plain,
( ( product @ ( product @ b @ ( bigC @ c @ b @ a ) ) @ ( product @ a @ b ) )
= ( difference @ ( product @ c @ b ) @ ( product @ ( product @ b @ ( bigC @ c @ b @ a ) ) @ ( product @ c @ b ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2381,zip_derived_cl20658]) ).
thf(zip_derived_cl7_072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520_073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl7_074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520_075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl2378_076,plain,
( ( difference @ ( product @ a @ b ) @ ( product @ c @ b ) )
= ( product @ b @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2285,zip_derived_cl8]) ).
thf(zip_derived_cl9816_077,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( difference @ ( product @ X1 @ X0 ) @ X0 ) @ X0 )
= ( difference @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9680,zip_derived_cl861,zip_derived_cl7079,zip_derived_cl3]) ).
thf(zip_derived_cl3_078,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl9840,plain,
! [X0: $i,X1: $i] :
( ( product @ ( difference @ X1 @ X0 ) @ X0 )
= ( difference @ ( product @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9816,zip_derived_cl3]) ).
thf(zip_derived_cl10023,plain,
( ( product @ ( product @ b @ ( bigC @ c @ b @ a ) ) @ ( product @ c @ b ) )
= ( difference @ ( product @ ( product @ a @ b ) @ ( product @ c @ b ) ) @ ( product @ c @ b ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2378,zip_derived_cl9840]) ).
thf(zip_derived_cl7_079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl520_080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X2 @ X0 @ X1 )
= ( bigC @ X2 @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl4_081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl5_082,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl145_083,plain,
( ( product @ ( product @ ( product @ a @ c ) @ b ) @ ( product @ ( product @ c @ b ) @ ( bigC @ c @ b @ a ) ) )
= ( product @ c @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl0_084,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl231,plain,
( ( difference @ ( product @ ( product @ a @ c ) @ b ) @ ( product @ c @ b ) )
= ( product @ ( product @ c @ b ) @ ( bigC @ c @ b @ a ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl0]) ).
thf(zip_derived_cl10060,plain,
( ( bigC @ b @ c @ ( bigC @ c @ b @ a ) )
= ( product @ ( product @ c @ b ) @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10023,zip_derived_cl7,zip_derived_cl520,zip_derived_cl4,zip_derived_cl5,zip_derived_cl231]) ).
thf(zip_derived_cl0_085,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl10160,plain,
( ( difference @ ( product @ c @ b ) @ ( bigC @ b @ c @ ( bigC @ c @ b @ a ) ) )
= ( bigC @ c @ b @ a ) ),
inference('sup+',[status(thm)],[zip_derived_cl10060,zip_derived_cl0]) ).
thf(zip_derived_cl21012,plain,
( ( bigC @ b @ a @ ( bigC @ c @ b @ a ) )
= ( bigC @ c @ b @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl20938,zip_derived_cl7,zip_derived_cl520,zip_derived_cl7,zip_derived_cl520,zip_derived_cl10160]) ).
thf(zip_derived_cl536_086,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X1 @ X0 )
= ( product @ X0 @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl21077,plain,
( ( bigC @ ( bigC @ c @ b @ a ) @ b @ ( bigC @ c @ b @ a ) )
= ( bigC @ b @ c @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2633,zip_derived_cl21012,zip_derived_cl536]) ).
thf(zip_derived_cl19_087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( quotient @ ( bigC @ X2 @ X1 @ X0 ) @ ( product @ X0 @ X2 ) )
= ( product @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl21278,plain,
( ( quotient @ ( bigC @ b @ c @ ( bigC @ c @ b @ a ) ) @ ( product @ ( bigC @ c @ b @ a ) @ ( bigC @ c @ b @ a ) ) )
= ( product @ ( bigC @ c @ b @ a ) @ b ) ),
inference('sup+',[status(thm)],[zip_derived_cl21077,zip_derived_cl19]) ).
thf(zip_derived_cl5_088,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl10060_089,plain,
( ( bigC @ b @ c @ ( bigC @ c @ b @ a ) )
= ( product @ ( product @ c @ b ) @ ( bigC @ c @ b @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10023,zip_derived_cl7,zip_derived_cl520,zip_derived_cl4,zip_derived_cl5,zip_derived_cl231]) ).
thf(zip_derived_cl2_090,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos03]) ).
thf(zip_derived_cl10185,plain,
( ( quotient @ ( bigC @ b @ c @ ( bigC @ c @ b @ a ) ) @ ( bigC @ c @ b @ a ) )
= ( product @ c @ b ) ),
inference('sup+',[status(thm)],[zip_derived_cl10060,zip_derived_cl2]) ).
thf(zip_derived_cl21295,plain,
( ( product @ c @ b )
= ( product @ ( bigC @ c @ b @ a ) @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl21278,zip_derived_cl5,zip_derived_cl10185]) ).
thf(zip_derived_cl200_091,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X1 @ X1 @ ( quotient @ X0 @ X1 ) )
= ( product @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).
thf(zip_derived_cl522_092,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl0_093,plain,
! [X0: $i,X1: $i] :
( ( difference @ X1 @ ( product @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[sos01]) ).
thf(zip_derived_cl554,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X1 @ X0 ) @ ( bigC @ X1 @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl0]) ).
thf(zip_derived_cl824,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X1 @ ( quotient @ X0 @ X1 ) ) @ ( product @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl554]) ).
thf(zip_derived_cl21326,plain,
( ( difference @ ( product @ ( bigC @ c @ b @ a ) @ ( quotient @ b @ ( bigC @ c @ b @ a ) ) ) @ ( product @ c @ b ) )
= ( bigC @ c @ b @ a ) ),
inference('sup+',[status(thm)],[zip_derived_cl21295,zip_derived_cl824]) ).
thf(zip_derived_cl20658_094,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X0 @ X1 ) )
= ( difference @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20518,zip_derived_cl16583,zip_derived_cl11913,zip_derived_cl861,zip_derived_cl869]) ).
thf(zip_derived_cl21295_095,plain,
( ( product @ c @ b )
= ( product @ ( bigC @ c @ b @ a ) @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl21278,zip_derived_cl5,zip_derived_cl10185]) ).
thf(zip_derived_cl20658_096,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X0 @ X1 ) )
= ( difference @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20518,zip_derived_cl16583,zip_derived_cl11913,zip_derived_cl861,zip_derived_cl869]) ).
thf(zip_derived_cl824_097,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( product @ X1 @ ( quotient @ X0 @ X1 ) ) @ ( product @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl554]) ).
thf(zip_derived_cl21409,plain,
( c
= ( bigC @ c @ b @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl21326,zip_derived_cl20658,zip_derived_cl21295,zip_derived_cl20658,zip_derived_cl824]) ).
thf(zip_derived_cl21460,plain,
( ( product @ ( product @ a @ c ) @ c )
= ( product @ a @ ( product @ b @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6766,zip_derived_cl21409]) ).
thf(zip_derived_cl861_098,plain,
! [X0: $i,X1: $i] :
( ( quotient @ ( product @ X1 @ X0 ) @ X1 )
= ( product @ X1 @ ( quotient @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl557]) ).
thf(zip_derived_cl15_099,plain,
! [X0: $i,X1: $i] :
( ( difference @ ( quotient @ X0 @ X1 ) @ X0 )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl9840_100,plain,
! [X0: $i,X1: $i] :
( ( product @ ( difference @ X1 @ X0 ) @ X0 )
= ( difference @ ( product @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9816,zip_derived_cl3]) ).
thf(zip_derived_cl10038,plain,
! [X0: $i,X1: $i] :
( ( product @ X0 @ X1 )
= ( difference @ ( product @ ( quotient @ X1 @ X0 ) @ X1 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl9840]) ).
thf(zip_derived_cl14_101,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( difference @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl10745,plain,
! [X0: $i,X1: $i] :
( ( quotient @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( quotient @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10038,zip_derived_cl14]) ).
thf(zip_derived_cl5_102,plain,
! [X0: $i] :
( ( product @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[sos06]) ).
thf(zip_derived_cl4_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( product @ ( product @ X2 @ X1 ) @ X0 )
= ( product @ ( product @ X2 @ X0 ) @ ( product @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl20658_104,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X0 @ X1 ) )
= ( difference @ X0 @ ( product @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20518,zip_derived_cl16583,zip_derived_cl11913,zip_derived_cl861,zip_derived_cl869]) ).
thf(zip_derived_cl869_105,plain,
! [X0: $i,X1: $i] :
( ( difference @ X0 @ ( product @ X1 @ X0 ) )
= ( product @ ( difference @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl176]) ).
thf(zip_derived_cl19796_106,plain,
! [X0: $i,X1: $i] :
( ( product @ X1 @ ( quotient @ X1 @ X0 ) )
= ( difference @ X1 @ ( product @ ( product @ X0 @ X1 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7362,zip_derived_cl15262]) ).
thf(zip_derived_cl22164,plain,
( ( product @ c @ ( quotient @ c @ a ) )
= ( product @ a @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl7198,zip_derived_cl21460,zip_derived_cl861,zip_derived_cl10745,zip_derived_cl52,zip_derived_cl20658,zip_derived_cl869,zip_derived_cl19796]) ).
thf(zip_derived_cl3_107,plain,
! [X0: $i,X1: $i] :
( ( product @ ( quotient @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[sos04]) ).
thf(zip_derived_cl4_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X0 @ X2 ) @ ( product @ X1 @ X3 ) )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sos05]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( product @ ( product @ X3 @ X2 ) @ X0 )
= ( product @ ( product @ X3 @ ( quotient @ X0 @ X1 ) ) @ ( product @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl23868,plain,
! [X0: $i] :
( ( product @ ( product @ c @ X0 ) @ c )
= ( product @ ( product @ a @ b ) @ ( product @ X0 @ a ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22164,zip_derived_cl57]) ).
thf(zip_derived_cl522_109,plain,
! [X0: $i,X1: $i] :
( ( bigC @ X0 @ X0 @ X1 )
= ( product @ ( product @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl51]) ).
thf(zip_derived_cl7_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( bigC @ X0 @ X1 @ X2 )
= ( product @ ( product @ X0 @ X1 ) @ ( product @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[sos08]) ).
thf(zip_derived_cl23913,plain,
! [X0: $i] :
( ( bigC @ c @ c @ X0 )
= ( bigC @ a @ b @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl23868,zip_derived_cl522,zip_derived_cl7]) ).
thf(zip_derived_cl24085,plain,
( ( bigC @ c @ c @ sk_ )
!= ( bigC @ c @ c @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl23913]) ).
thf(zip_derived_cl24086,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl24085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iWI2wQ6zft true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:14:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.60 % Total configuration time : 435
% 0.56/0.60 % Estimated wc time : 1092
% 0.56/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.75/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 28.53/4.64 % Solved by fo/fo4.sh.
% 28.53/4.64 % done 1044 iterations in 3.885s
% 28.53/4.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.53/4.64 % SZS output start Refutation
% See solution above
% 28.53/4.64
% 28.53/4.64
% 28.53/4.64 % Terminating...
% 28.92/4.71 % Runner terminated.
% 28.92/4.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------