TSTP Solution File: LCL652+1.001 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL652+1.001 : 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.8JyxrEyfnb true
% Computer : n020.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 09:01:01 EDT 2023
% Result : Theorem 14.35s 2.67s
% Output : Refutation 14.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 135
% Number of leaves : 18
% Syntax : Number of formulae : 378 ( 79 unt; 17 typ; 0 def)
% Number of atoms : 1187 ( 0 equ; 0 cnn)
% Maximal formula atoms : 74 ( 3 avg)
% Number of connectives : 5069 ( 606 ~; 812 |; 14 &;3637 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 3 con; 0-2 aty)
% Number of variables : 354 ( 0 ^; 352 !; 2 ?; 354 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(sk__22_type,type,
sk__22: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(p4_type,type,
p4: $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(p2_type,type,
p2: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ! [X: $i] :
( ~ ( ~ ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p2 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p2 @ X )
| ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ( ! [X: $i] :
( ~ ( p2 @ X )
| ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ! [X: $i] :
( ~ ( ~ ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p2 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ( p2 @ X )
& ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p2 @ X )
| ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ( ! [X: $i] :
( ~ ( p2 @ X )
| ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl4,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X8: $i,X9: $i] :
( ~ ( r1 @ X8 @ X9 )
| ( p2 @ ( sk__3 @ X9 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( p2 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).
thf(zip_derived_cl56_001,plain,
! [X0: $i] :
( ( p2 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).
thf(zip_derived_cl4_002,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
! [X8: $i] :
( ( r1 @ X8 @ ( sk__16 @ X8 ) )
| ( r1 @ X8 @ ( sk__14 @ X8 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
( ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl40]) ).
thf(zip_derived_cl4_003,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X8: $i,X9: $i] :
( ~ ( r1 @ X8 @ X9 )
| ( r1 @ X9 @ ( sk__3 @ X9 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl84,plain,
( ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) )
| ( r1 @ ( sk__16 @ sk__21 ) @ ( sk__3 @ ( sk__16 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl55]) ).
thf(zip_derived_cl4_004,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
! [X8: $i,X20: $i] :
( ~ ( r1 @ ( sk__16 @ X8 ) @ X20 )
| ~ ( p2 @ X20 )
| ( r1 @ X8 @ ( sk__14 @ X8 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__16 @ sk__21 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl41]) ).
thf(zip_derived_cl92,plain,
( ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ ( sk__3 @ ( sk__16 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl71]) ).
thf(zip_derived_cl93,plain,
( ~ ( p2 @ ( sk__3 @ ( sk__16 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl97,plain,
( ~ ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl93]) ).
thf(zip_derived_cl81_005,plain,
( ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl40]) ).
thf(zip_derived_cl101,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_006,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X8: $i,X14: $i,X15: $i] :
( ( r1 @ X8 @ ( sk__9 @ X8 ) )
| ~ ( r1 @ X14 @ X15 )
| ( p2 @ ( sk__7 @ X15 ) )
| ~ ( r1 @ X8 @ X14 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p2 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl22]) ).
thf(zip_derived_cl356,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl351]) ).
thf(zip_derived_cl101_007,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_008,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
! [X8: $i,X17: $i,X19: $i] :
( ~ ( r1 @ X8 @ X17 )
| ( r1 @ X17 @ ( sk__13 @ X17 ) )
| ( p2 @ ( sk__11 @ X19 ) )
| ~ ( r1 @ ( sk__10 @ X17 ) @ X19 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__10 @ X1 ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl33]) ).
thf(zip_derived_cl392,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl387]) ).
thf(zip_derived_cl101_009,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl356_010,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl351]) ).
thf(zip_derived_cl101_011,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_012,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X8: $i,X17: $i] :
( ~ ( r1 @ X8 @ X17 )
| ( r1 @ X17 @ ( sk__13 @ X17 ) )
| ( r1 @ X17 @ ( sk__10 @ X17 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl31]) ).
thf(zip_derived_cl167,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl143]) ).
thf(zip_derived_cl101_013,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_014,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
! [X8: $i,X14: $i,X15: $i] :
( ( r1 @ X8 @ ( sk__9 @ X8 ) )
| ~ ( r1 @ X14 @ X15 )
| ( r1 @ X15 @ ( sk__7 @ X15 ) )
| ~ ( r1 @ X8 @ X14 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl403,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ X1 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl28]) ).
thf(zip_derived_cl546,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl403]) ).
thf(zip_derived_cl549,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl546]) ).
thf(zip_derived_cl101_015,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_016,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
! [X8: $i,X17: $i,X18: $i] :
( ~ ( r1 @ X8 @ X17 )
| ~ ( p2 @ X18 )
| ~ ( r1 @ ( sk__13 @ X17 ) @ X18 )
| ( r1 @ X17 @ ( sk__10 @ X17 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ ( sk__13 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl30]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl149]) ).
thf(zip_derived_cl553,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl549,zip_derived_cl154]) ).
thf(zip_derived_cl557,plain,
( ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl553]) ).
thf(zip_derived_cl562,plain,
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl557]) ).
thf(zip_derived_cl564,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl562]) ).
thf(zip_derived_cl167_017,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl143]) ).
thf(zip_derived_cl771,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl564,zip_derived_cl167]) ).
thf(zip_derived_cl56_018,plain,
! [X0: $i] :
( ( p2 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).
thf(zip_derived_cl356_019,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl351]) ).
thf(zip_derived_cl392_020,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl387]) ).
thf(zip_derived_cl101_021,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl771_022,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl564,zip_derived_cl167]) ).
thf(zip_derived_cl46,plain,
! [X8: $i] :
( ( r1 @ X8 @ ( sk__16 @ X8 ) )
| ( p2 @ ( sk__14 @ X8 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_023,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_024,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X8: $i,X10: $i,X11: $i,X13: $i] :
( ~ ( r1 @ X8 @ X10 )
| ( p2 @ X11 )
| ~ ( r1 @ X10 @ X11 )
| ~ ( p2 @ X10 )
| ( r1 @ X13 @ ( sk__5 @ X13 ) )
| ~ ( r1 @ X10 @ X13 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( p2 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p2 @ X2 )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl19]) ).
thf(zip_derived_cl536,plain,
! [X0: $i,X1: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl482]) ).
thf(zip_derived_cl538,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk__21 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( p2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl536]) ).
thf(zip_derived_cl4_025,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl540,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( p2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl4]) ).
thf(zip_derived_cl953,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl540]) ).
thf(zip_derived_cl2,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1287,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ X0 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl953,zip_derived_cl2]) ).
thf(zip_derived_cl1743,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl1287]) ).
thf(zip_derived_cl101_026,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] :
( ( r1 @ X3 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl1745,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl102]) ).
thf(zip_derived_cl101_027,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_028,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
! [X8: $i,X17: $i,X19: $i] :
( ~ ( r1 @ X8 @ X17 )
| ( r1 @ X17 @ ( sk__13 @ X17 ) )
| ( r1 @ X19 @ ( sk__11 @ X19 ) )
| ~ ( r1 @ ( sk__10 @ X17 ) @ X19 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__10 @ X1 ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl39]) ).
thf(zip_derived_cl601,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl596]) ).
thf(zip_derived_cl1746,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl601]) ).
thf(zip_derived_cl102_029,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl771_030,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl564,zip_derived_cl167]) ).
thf(zip_derived_cl46_031,plain,
! [X8: $i] :
( ( r1 @ X8 @ ( sk__16 @ X8 ) )
| ( p2 @ ( sk__14 @ X8 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_032,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_033,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X8: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ( r1 @ X8 @ X10 )
| ( p2 @ X11 )
| ~ ( r1 @ X10 @ X11 )
| ~ ( p2 @ X10 )
| ~ ( p2 @ X12 )
| ~ ( r1 @ ( sk__5 @ X13 ) @ X12 )
| ~ ( r1 @ X10 @ X13 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X2 )
| ~ ( p2 @ X2 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ X1 @ X3 )
| ( p2 @ X3 )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl16]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ X2 ) @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl232]) ).
thf(zip_derived_cl283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ sk__21 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 )
| ( p2 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl281]) ).
thf(zip_derived_cl4_034,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 )
| ( p2 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl4]) ).
thf(zip_derived_cl774,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X1 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl286]) ).
thf(zip_derived_cl1493,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 )
| ~ ( p2 @ X0 )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl774]) ).
thf(zip_derived_cl1750,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl1493]) ).
thf(zip_derived_cl1756,plain,
( ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1750]) ).
thf(zip_derived_cl1795,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl1756]) ).
thf(zip_derived_cl1798,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1795]) ).
thf(zip_derived_cl1745_035,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl102]) ).
thf(zip_derived_cl1935,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1798,zip_derived_cl1745]) ).
thf(zip_derived_cl2_036,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1936,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1935,zip_derived_cl2]) ).
thf(zip_derived_cl101_037,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl1937,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1936,zip_derived_cl101]) ).
thf(zip_derived_cl546_038,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl403]) ).
thf(zip_derived_cl1945,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1937,zip_derived_cl546]) ).
thf(zip_derived_cl1977,plain,
( ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1945]) ).
thf(zip_derived_cl101_039,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_040,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
! [X8: $i,X17: $i,X18: $i,X19: $i] :
( ~ ( r1 @ X8 @ X17 )
| ~ ( p2 @ X18 )
| ~ ( r1 @ ( sk__13 @ X17 ) @ X18 )
| ( p2 @ ( sk__11 @ X19 ) )
| ~ ( r1 @ ( sk__10 @ X17 ) @ X19 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ X1 ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__13 @ X1 ) @ X2 )
| ~ ( p2 @ X2 )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl32]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl203]) ).
thf(zip_derived_cl2016,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1977,zip_derived_cl208]) ).
thf(zip_derived_cl2102,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl2016]) ).
thf(zip_derived_cl2106,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2102]) ).
thf(zip_derived_cl392_041,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl387]) ).
thf(zip_derived_cl2124,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2106,zip_derived_cl392]) ).
thf(zip_derived_cl1745_042,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl102]) ).
thf(zip_derived_cl356_043,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl351]) ).
thf(zip_derived_cl1977_044,plain,
( ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1945]) ).
thf(zip_derived_cl101_045,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_046,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
! [X8: $i,X17: $i,X18: $i,X19: $i] :
( ~ ( r1 @ X8 @ X17 )
| ~ ( p2 @ X18 )
| ~ ( r1 @ ( sk__13 @ X17 ) @ X18 )
| ( r1 @ X19 @ ( sk__11 @ X19 ) )
| ~ ( r1 @ ( sk__10 @ X17 ) @ X19 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ X1 ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__13 @ X1 ) @ X2 )
| ~ ( p2 @ X2 )
| ~ ( r1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl38]) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl343]) ).
thf(zip_derived_cl2017,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1977,zip_derived_cl348]) ).
thf(zip_derived_cl2118,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl2017]) ).
thf(zip_derived_cl2122,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2118]) ).
thf(zip_derived_cl601_047,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl596]) ).
thf(zip_derived_cl2151,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2122,zip_derived_cl601]) ).
thf(zip_derived_cl2153,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1745,zip_derived_cl2151]) ).
thf(zip_derived_cl2156,plain,
( ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2153]) ).
thf(zip_derived_cl1493_048,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 )
| ~ ( p2 @ X0 )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl774]) ).
thf(zip_derived_cl2189,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2156,zip_derived_cl1493]) ).
thf(zip_derived_cl2198,plain,
( ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2189]) ).
thf(zip_derived_cl2249,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2124,zip_derived_cl2198]) ).
thf(zip_derived_cl2252,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2249]) ).
thf(zip_derived_cl1745_049,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl102]) ).
thf(zip_derived_cl2287,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2252,zip_derived_cl1745]) ).
thf(zip_derived_cl2_050,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2288,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2287,zip_derived_cl2]) ).
thf(zip_derived_cl101_051,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl2289,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2288,zip_derived_cl101]) ).
thf(zip_derived_cl55_052,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl2291,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__16 @ sk__21 ) @ ( sk__3 @ ( sk__16 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2289,zip_derived_cl55]) ).
thf(zip_derived_cl4_053,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
! [X8: $i,X20: $i] :
( ~ ( r1 @ ( sk__16 @ X8 ) @ X20 )
| ~ ( p2 @ X20 )
| ( p2 @ ( sk__14 @ X8 ) )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( p2 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__16 @ sk__21 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl47]) ).
thf(zip_derived_cl2345,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( p2 @ ( sk__3 @ ( sk__16 @ sk__21 ) ) )
| ( p2 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2291,zip_derived_cl57]) ).
thf(zip_derived_cl2358,plain,
( ~ ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__14 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl2345]) ).
thf(zip_derived_cl2289_054,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2288,zip_derived_cl101]) ).
thf(zip_derived_cl2374,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__14 @ sk__21 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2358,zip_derived_cl2289]) ).
thf(zip_derived_cl536_055,plain,
! [X0: $i,X1: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl482]) ).
thf(zip_derived_cl2379,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( p2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2374,zip_derived_cl536]) ).
thf(zip_derived_cl2708,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl2379]) ).
thf(zip_derived_cl2713,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ X0 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2708]) ).
thf(zip_derived_cl2_056,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2957,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ X0 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl2]) ).
thf(zip_derived_cl3165,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl2957]) ).
thf(zip_derived_cl102_057,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl3168,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl102]) ).
thf(zip_derived_cl601_058,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl596]) ).
thf(zip_derived_cl3170,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3168,zip_derived_cl601]) ).
thf(zip_derived_cl102_059,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl771_060,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl564,zip_derived_cl167]) ).
thf(zip_derived_cl2374_061,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__14 @ sk__21 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2358,zip_derived_cl2289]) ).
thf(zip_derived_cl281_062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ X2 ) @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl232]) ).
thf(zip_derived_cl2375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 )
| ( p2 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2374,zip_derived_cl281]) ).
thf(zip_derived_cl2389,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X1 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl2375]) ).
thf(zip_derived_cl2393,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ X0 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2389]) ).
thf(zip_derived_cl2413,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl2393]) ).
thf(zip_derived_cl3178,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3170,zip_derived_cl2413]) ).
thf(zip_derived_cl3183,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3178]) ).
thf(zip_derived_cl3286,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl3183]) ).
thf(zip_derived_cl3289,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3286]) ).
thf(zip_derived_cl3168_063,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl102]) ).
thf(zip_derived_cl3367,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3289,zip_derived_cl3168]) ).
thf(zip_derived_cl2_064,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3368,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3367,zip_derived_cl2]) ).
thf(zip_derived_cl101_065,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl3369,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3368,zip_derived_cl101]) ).
thf(zip_derived_cl546_066,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl403]) ).
thf(zip_derived_cl3377,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3369,zip_derived_cl546]) ).
thf(zip_derived_cl3425,plain,
( ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3377]) ).
thf(zip_derived_cl208_067,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl203]) ).
thf(zip_derived_cl3469,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3425,zip_derived_cl208]) ).
thf(zip_derived_cl3567,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl3469]) ).
thf(zip_derived_cl3571,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3567]) ).
thf(zip_derived_cl3369_068,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3368,zip_derived_cl101]) ).
thf(zip_derived_cl3591,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3571,zip_derived_cl3369]) ).
thf(zip_derived_cl3168_069,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl102]) ).
thf(zip_derived_cl356_070,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl351]) ).
thf(zip_derived_cl3425_071,plain,
( ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3377]) ).
thf(zip_derived_cl348_072,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl343]) ).
thf(zip_derived_cl3470,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3425,zip_derived_cl348]) ).
thf(zip_derived_cl3584,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl3470]) ).
thf(zip_derived_cl3588,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3584]) ).
thf(zip_derived_cl3369_073,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3368,zip_derived_cl101]) ).
thf(zip_derived_cl3622,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3588,zip_derived_cl3369]) ).
thf(zip_derived_cl3624,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3168,zip_derived_cl3622]) ).
thf(zip_derived_cl3627,plain,
( ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3624]) ).
thf(zip_derived_cl2413_074,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl2393]) ).
thf(zip_derived_cl3637,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3627,zip_derived_cl2413]) ).
thf(zip_derived_cl3646,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3637]) ).
thf(zip_derived_cl3701,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3591,zip_derived_cl3646]) ).
thf(zip_derived_cl3704,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3701]) ).
thf(zip_derived_cl3168_075,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl102]) ).
thf(zip_derived_cl3775,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3704,zip_derived_cl3168]) ).
thf(zip_derived_cl2_076,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3776,plain,
( ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3775,zip_derived_cl2]) ).
thf(zip_derived_cl101_077,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl3777,plain,
r1 @ sk__21 @ ( sk__9 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl3776,zip_derived_cl101]) ).
thf(zip_derived_cl55_078,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl3779,plain,
r1 @ ( sk__9 @ sk__21 ) @ ( sk__3 @ ( sk__9 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3777,zip_derived_cl55]) ).
thf(zip_derived_cl101_079,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_080,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X8: $i,X14: $i,X15: $i,X16: $i] :
( ~ ( r1 @ ( sk__9 @ X8 ) @ X16 )
| ~ ( p2 @ X16 )
| ~ ( r1 @ X14 @ X15 )
| ( p2 @ ( sk__7 @ X15 ) )
| ~ ( r1 @ X8 @ X14 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p2 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p2 @ X2 )
| ~ ( r1 @ ( sk__9 @ sk__21 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl23]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__9 @ sk__21 ) @ X0 )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( p2 @ ( sk__7 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl158]) ).
thf(zip_derived_cl3822,plain,
! [X0: $i] :
( ( p2 @ ( sk__7 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__3 @ ( sk__9 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3779,zip_derived_cl172]) ).
thf(zip_derived_cl3894,plain,
! [X0: $i] :
( ~ ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl3822]) ).
thf(zip_derived_cl3777_081,plain,
r1 @ sk__21 @ ( sk__9 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl3776,zip_derived_cl101]) ).
thf(zip_derived_cl3896,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl3777]) ).
thf(zip_derived_cl392_082,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl387]) ).
thf(zip_derived_cl3896_083,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl3777]) ).
thf(zip_derived_cl167_084,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl143]) ).
thf(zip_derived_cl56_085,plain,
! [X0: $i] :
( ( p2 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).
thf(zip_derived_cl3779_086,plain,
r1 @ ( sk__9 @ sk__21 ) @ ( sk__3 @ ( sk__9 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3777,zip_derived_cl55]) ).
thf(zip_derived_cl101_087,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4_088,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
! [X8: $i,X14: $i,X15: $i,X16: $i] :
( ~ ( r1 @ ( sk__9 @ X8 ) @ X16 )
| ~ ( p2 @ X16 )
| ~ ( r1 @ X14 @ X15 )
| ( r1 @ X15 @ ( sk__7 @ X15 ) )
| ~ ( r1 @ X8 @ X14 )
| ~ ( r1 @ sk_ @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ X1 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p2 @ X2 )
| ~ ( r1 @ ( sk__9 @ sk__21 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl29]) ).
thf(zip_derived_cl321,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__9 @ sk__21 ) @ X0 )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( r1 @ X1 @ ( sk__7 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl291]) ).
thf(zip_derived_cl3824,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__7 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__3 @ ( sk__9 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3779,zip_derived_cl321]) ).
thf(zip_derived_cl3920,plain,
! [X0: $i] :
( ~ ( r1 @ sk__21 @ ( sk__9 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl3824]) ).
thf(zip_derived_cl3777_089,plain,
r1 @ sk__21 @ ( sk__9 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl3776,zip_derived_cl101]) ).
thf(zip_derived_cl3922,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3920,zip_derived_cl3777]) ).
thf(zip_derived_cl3924,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl3922]) ).
thf(zip_derived_cl154_090,plain,
! [X0: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl149]) ).
thf(zip_derived_cl3928,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3924,zip_derived_cl154]) ).
thf(zip_derived_cl3932,plain,
( ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3928]) ).
thf(zip_derived_cl3991,plain,
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl3932]) ).
thf(zip_derived_cl167_091,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl143]) ).
thf(zip_derived_cl4038,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3991,zip_derived_cl167]) ).
thf(zip_derived_cl102_092,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl536_093,plain,
! [X0: $i,X1: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl482]) ).
thf(zip_derived_cl56_094,plain,
! [X0: $i] :
( ( p2 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl15]) ).
thf(zip_derived_cl3896_095,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl3777]) ).
thf(zip_derived_cl392_096,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl387]) ).
thf(zip_derived_cl101_097,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4038_098,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3991,zip_derived_cl167]) ).
thf(zip_derived_cl540_099,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 )
| ( p2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl4]) ).
thf(zip_derived_cl4045,plain,
! [X0: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4038,zip_derived_cl540]) ).
thf(zip_derived_cl2_100,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4175,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4045,zip_derived_cl2]) ).
thf(zip_derived_cl4341,plain,
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl4175]) ).
thf(zip_derived_cl102_101,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl4343,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4341,zip_derived_cl102]) ).
thf(zip_derived_cl601_102,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl596]) ).
thf(zip_derived_cl4345,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4343,zip_derived_cl601]) ).
thf(zip_derived_cl102_103,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl4038_104,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3991,zip_derived_cl167]) ).
thf(zip_derived_cl286_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 )
| ( p2 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl4]) ).
thf(zip_derived_cl4041,plain,
! [X0: $i,X1: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X1 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4038,zip_derived_cl286]) ).
thf(zip_derived_cl4213,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 )
| ~ ( p2 @ X0 )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl4041]) ).
thf(zip_derived_cl4357,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4345,zip_derived_cl4213]) ).
thf(zip_derived_cl4362,plain,
( ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4357]) ).
thf(zip_derived_cl4411,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl4362]) ).
thf(zip_derived_cl4414,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4411]) ).
thf(zip_derived_cl4343_106,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4341,zip_derived_cl102]) ).
thf(zip_derived_cl4496,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4414,zip_derived_cl4343]) ).
thf(zip_derived_cl2_107,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4497,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4496,zip_derived_cl2]) ).
thf(zip_derived_cl101_108,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4498,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4497,zip_derived_cl101]) ).
thf(zip_derived_cl3922_109,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3920,zip_derived_cl3777]) ).
thf(zip_derived_cl4523,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4498,zip_derived_cl3922]) ).
thf(zip_derived_cl208_110,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl203]) ).
thf(zip_derived_cl4568,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4523,zip_derived_cl208]) ).
thf(zip_derived_cl4649,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl4568]) ).
thf(zip_derived_cl4498_111,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4497,zip_derived_cl101]) ).
thf(zip_derived_cl4666,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4649,zip_derived_cl4498]) ).
thf(zip_derived_cl4343_112,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4341,zip_derived_cl102]) ).
thf(zip_derived_cl3896_113,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl3777]) ).
thf(zip_derived_cl4523_114,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4498,zip_derived_cl3922]) ).
thf(zip_derived_cl348_115,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl343]) ).
thf(zip_derived_cl4569,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4523,zip_derived_cl348]) ).
thf(zip_derived_cl4662,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl4569]) ).
thf(zip_derived_cl4498_116,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4497,zip_derived_cl101]) ).
thf(zip_derived_cl4689,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4662,zip_derived_cl4498]) ).
thf(zip_derived_cl4691,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4343,zip_derived_cl4689]) ).
thf(zip_derived_cl4693,plain,
( ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4691]) ).
thf(zip_derived_cl4213_117,plain,
! [X0: $i] :
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 )
| ~ ( p2 @ X0 )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl4041]) ).
thf(zip_derived_cl4715,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4693,zip_derived_cl4213]) ).
thf(zip_derived_cl4724,plain,
( ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4715]) ).
thf(zip_derived_cl4787,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4666,zip_derived_cl4724]) ).
thf(zip_derived_cl4789,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4787]) ).
thf(zip_derived_cl4343_118,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4341,zip_derived_cl102]) ).
thf(zip_derived_cl4831,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4789,zip_derived_cl4343]) ).
thf(zip_derived_cl2_119,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4832,plain,
( ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4831,zip_derived_cl2]) ).
thf(zip_derived_cl101_120,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl4833,plain,
r1 @ sk__21 @ ( sk__16 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl4832,zip_derived_cl101]) ).
thf(zip_derived_cl55_121,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl4835,plain,
r1 @ ( sk__16 @ sk__21 ) @ ( sk__3 @ ( sk__16 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4833,zip_derived_cl55]) ).
thf(zip_derived_cl57_122,plain,
! [X0: $i] :
( ( p2 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__16 @ sk__21 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl47]) ).
thf(zip_derived_cl4894,plain,
( ~ ( p2 @ ( sk__3 @ ( sk__16 @ sk__21 ) ) )
| ( p2 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4835,zip_derived_cl57]) ).
thf(zip_derived_cl4901,plain,
( ~ ( r1 @ sk__21 @ ( sk__16 @ sk__21 ) )
| ( p2 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl4894]) ).
thf(zip_derived_cl4833_123,plain,
r1 @ sk__21 @ ( sk__16 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl4832,zip_derived_cl101]) ).
thf(zip_derived_cl4903,plain,
p2 @ ( sk__14 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl4901,zip_derived_cl4833]) ).
thf(zip_derived_cl4908,plain,
! [X0: $i,X1: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl536,zip_derived_cl4903]) ).
thf(zip_derived_cl5128,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl4908]) ).
thf(zip_derived_cl5214,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4038,zip_derived_cl5128]) ).
thf(zip_derived_cl2_124,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5246,plain,
( ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5214,zip_derived_cl2]) ).
thf(zip_derived_cl101_125,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl5247,plain,
r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5246,zip_derived_cl101]) ).
thf(zip_derived_cl601_126,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl596]) ).
thf(zip_derived_cl5259,plain,
( ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5247,zip_derived_cl601]) ).
thf(zip_derived_cl4038_127,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__10 @ ( sk__14 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3991,zip_derived_cl167]) ).
thf(zip_derived_cl102_128,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl3]) ).
thf(zip_derived_cl281_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ ( sk__14 @ sk__21 ) )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ X2 ) @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl232]) ).
thf(zip_derived_cl4903_130,plain,
p2 @ ( sk__14 @ sk__21 ),
inference(demod,[status(thm)],[zip_derived_cl4901,zip_derived_cl4833]) ).
thf(zip_derived_cl4904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p2 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( p2 @ X1 )
| ~ ( r1 @ ( sk__5 @ X2 ) @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__21 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl4903]) ).
thf(zip_derived_cl4946,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ~ ( r1 @ ( sk__5 @ X0 ) @ X1 )
| ~ ( p2 @ X1 )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl4904]) ).
thf(zip_derived_cl5106,plain,
! [X0: $i] :
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4038,zip_derived_cl4946]) ).
thf(zip_derived_cl5271,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5259,zip_derived_cl5106]) ).
thf(zip_derived_cl5368,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl5271]) ).
thf(zip_derived_cl5247_131,plain,
r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5246,zip_derived_cl101]) ).
thf(zip_derived_cl5372,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5368,zip_derived_cl5247]) ).
thf(zip_derived_cl5373,plain,
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5372]) ).
thf(zip_derived_cl2_132,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5374,plain,
( ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5373,zip_derived_cl2]) ).
thf(zip_derived_cl101_133,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl5375,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl5374,zip_derived_cl101]) ).
thf(zip_derived_cl3922_134,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3920,zip_derived_cl3777]) ).
thf(zip_derived_cl5379,plain,
r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5375,zip_derived_cl3922]) ).
thf(zip_derived_cl208_135,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl203]) ).
thf(zip_derived_cl5412,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5379,zip_derived_cl208]) ).
thf(zip_derived_cl5432,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl5412]) ).
thf(zip_derived_cl5375_136,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl5374,zip_derived_cl101]) ).
thf(zip_derived_cl5436,plain,
! [X0: $i] :
( ( p2 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5432,zip_derived_cl5375]) ).
thf(zip_derived_cl5247_137,plain,
r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5246,zip_derived_cl101]) ).
thf(zip_derived_cl3896_138,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ X0 )
| ( p2 @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3894,zip_derived_cl3777]) ).
thf(zip_derived_cl5379_139,plain,
r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5375,zip_derived_cl3922]) ).
thf(zip_derived_cl348_140,plain,
! [X0: $i,X1: $i] :
( ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl343]) ).
thf(zip_derived_cl5413,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( p2 @ ( sk__7 @ ( sk__13 @ ( sk__14 @ sk__21 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5379,zip_derived_cl348]) ).
thf(zip_derived_cl5445,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3896,zip_derived_cl5413]) ).
thf(zip_derived_cl5375_141,plain,
r1 @ ( sk__14 @ sk__21 ) @ ( sk__13 @ ( sk__14 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl5374,zip_derived_cl101]) ).
thf(zip_derived_cl5449,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5445,zip_derived_cl5375]) ).
thf(zip_derived_cl5451,plain,
r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5247,zip_derived_cl5449]) ).
thf(zip_derived_cl5106_142,plain,
! [X0: $i] :
( ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) )
| ~ ( p2 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4038,zip_derived_cl4946]) ).
thf(zip_derived_cl5456,plain,
( ~ ( p2 @ ( sk__11 @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5451,zip_derived_cl5106]) ).
thf(zip_derived_cl5516,plain,
( ~ ( r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ) )
| ( p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5436,zip_derived_cl5456]) ).
thf(zip_derived_cl5247_143,plain,
r1 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) @ ( sk__5 @ ( sk__10 @ ( sk__14 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5246,zip_derived_cl101]) ).
thf(zip_derived_cl5517,plain,
p2 @ ( sk__22 @ ( sk__14 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl5516,zip_derived_cl5247]) ).
thf(zip_derived_cl2_144,plain,
! [X3: $i] :
( ~ ( p2 @ ( sk__22 @ X3 ) )
| ~ ( r1 @ sk__21 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5539,plain,
~ ( r1 @ sk__21 @ ( sk__14 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5517,zip_derived_cl2]) ).
thf(zip_derived_cl101_145,plain,
r1 @ sk__21 @ ( sk__14 @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl81]) ).
thf(zip_derived_cl5540,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5539,zip_derived_cl101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8JyxrEyfnb true
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 03:45:00 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.73/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.35/2.67 % Solved by fo/fo7.sh.
% 14.35/2.67 % done 2033 iterations in 1.833s
% 14.35/2.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.35/2.67 % SZS output start Refutation
% See solution above
% 14.35/2.67
% 14.35/2.67
% 14.35/2.67 % Terminating...
% 14.35/2.76 % Runner terminated.
% 14.35/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------