TSTP Solution File: SYO606+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2XDpStXPUx true
% Computer : n014.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 : Fri Sep 1 05:52:16 EDT 2023
% Result : Theorem 1.27s 1.30s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 519 ( 1 unt; 29 typ; 0 def)
% Number of atoms : 2667 ( 0 equ; 0 cnn)
% Maximal formula atoms : 41 ( 5 avg)
% Number of connectives : 10065 (1496 ~;1675 |; 194 &;6392 @)
% ( 6 <=>; 0 =>; 302 <=; 0 <~>)
% Maximal formula depth : 30 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 1750 ( 0 ^;1694 !; 56 ?;1750 :)
% Comments :
%------------------------------------------------------------------------------
thf(h_true_only_type,type,
h_true_only: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(h_false_type,type,
h_false: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(g_true_type,type,
g_true: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(h_false_only_type,type,
h_false_only: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(g_both_type,type,
g_both: $i > $i > $o ).
thf(h_both_type,type,
h_both: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(h_true_type,type,
h_true: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(g_false_only_type,type,
g_false_only: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(g_false_type,type,
g_false: $i > $i > $o ).
thf(g_true_only_type,type,
g_true_only: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(nc5,conjecture,
( ( ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ~ ? [B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [B: $i] :
( ~ ? [C: $i] :
( ( h_true_only @ A @ C )
| ( g_false_only @ A @ B ) )
& ? [C: $i] :
( ( h_both @ A @ C )
& ( g_both @ A @ B ) ) ) )
& ~ ? [A: $i] :
( ( ! [B: $i] : ( h_false_only @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) )
| ( ( ! [B: $i] : ( h_false_only @ A @ B )
| ( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B ) ) )
& ? [B: $i] : ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) ) )
| ( ? [A: $i,B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ( ! [B: $i] : ( h_false_only @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) )
| ( ( ! [B: $i] : ( h_false_only @ A @ B )
| ( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B ) ) )
& ? [B: $i] : ( g_true_only @ A @ B ) ) ) )
| ( ! [A: $i,B: $i] :
? [C: $i] :
( ( h_true_only @ A @ C )
| ( g_false_only @ A @ B ) )
& ! [A: $i] :
( ? [B: $i] : ( h_true_only @ A @ B )
| ! [B: $i] : ( g_false_only @ A @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ~ ? [B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [B: $i] :
( ~ ? [C: $i] :
( ( h_true_only @ A @ C )
| ( g_false_only @ A @ B ) )
& ? [C: $i] :
( ( h_both @ A @ C )
& ( g_both @ A @ B ) ) ) )
& ~ ? [A: $i] :
( ( ! [B: $i] : ( h_false_only @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) )
| ( ( ! [B: $i] : ( h_false_only @ A @ B )
| ( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B ) ) )
& ? [B: $i] : ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) ) )
| ( ? [A: $i,B: $i] :
! [C: $i] :
( ( ( h_false_only @ A @ C )
& ( g_both @ A @ B ) )
| ( ( ( h_false_only @ A @ C )
| ( h_both @ A @ C ) )
& ( g_true_only @ A @ B ) ) )
& ? [A: $i] :
( ( ! [B: $i] : ( h_false_only @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( g_both @ A @ B ) )
| ( ( ! [B: $i] : ( h_false_only @ A @ B )
| ( ~ ? [B: $i] : ( h_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B ) ) )
& ? [B: $i] : ( g_true_only @ A @ B ) ) ) )
| ( ! [A: $i,B: $i] :
? [C: $i] :
( ( h_true_only @ A @ C )
| ( g_false_only @ A @ B ) )
& ! [A: $i] :
( ? [B: $i] : ( h_true_only @ A @ B )
| ! [B: $i] : ( g_false_only @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[nc5]) ).
thf(zip_derived_cl21,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl13,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_both @ sk__4 @ sk__6 )
| ( h_false_only @ sk__4 @ X14 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl209,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
<= ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1191,plain,
( ( ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
| ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) ) )
<= ( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
& ( g_both @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl185]) ).
thf(zip_derived_cl1194,plain,
( ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
<= ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf(zip_derived_cl1251,plain,
( ( h_both @ sk_ @ ( sk__11 @ sk_ ) )
<= ( ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl1194]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X3: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1258,plain,
( ! [X0: $i] :
( ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
| ~ ( g_true_only @ sk_ @ X0 ) )
<= ( ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1251,zip_derived_cl187]) ).
thf(zip_derived_cl1261,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1258]) ).
thf(zip_derived_cl1193,plain,
( ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) )
<= ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf('1',plain,
( ~ ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1261,zip_derived_cl1193]) ).
thf(zip_derived_cl207,plain,
( ( g_both @ sk__4 @ sk__5 )
<= ( g_both @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl185_001,plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
<= ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1192,plain,
( ( ~ ( h_false_only @ sk__4 @ ( sk__11 @ sk__4 ) )
| ( g_true_only @ sk__4 @ ( sk__12 @ sk__4 ) ) )
<= ( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
& ( g_both @ sk__4 @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl185]) ).
thf('2',plain,
( ~ ( g_both @ sk__4 @ sk__5 )
| ~ ( h_false_only @ sk__4 @ ( sk__11 @ sk__4 ) )
| ~ ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ( g_true_only @ sk__4 @ ( sk__12 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1192]) ).
thf(zip_derived_cl1197,plain,
( ~ ( h_false_only @ sk__4 @ ( sk__11 @ sk__4 ) )
<= ~ ( h_false_only @ sk__4 @ ( sk__11 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1192]) ).
thf(zip_derived_cl204,plain,
( ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
<= ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('3',plain,
( ( h_false_only @ sk__4 @ ( sk__11 @ sk__4 ) )
| ~ ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1197,zip_derived_cl204]) ).
thf(zip_derived_cl1196,plain,
( ( g_true_only @ sk__4 @ ( sk__12 @ sk__4 ) )
<= ( g_true_only @ sk__4 @ ( sk__12 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1192]) ).
thf(zip_derived_cl204_002,plain,
( ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
<= ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X3: $i,X6: $i,X8: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl189,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1151,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__4 @ X0 )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl189]) ).
thf('4',plain,
( ~ ( g_true_only @ sk__4 @ ( sk__12 @ sk__4 ) )
| ~ ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1196,zip_derived_cl1151]) ).
thf(zip_derived_cl209_003,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl205,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(false_only_g,axiom,
! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
<=> ( ( g_false @ X_2 @ X_1 )
& ~ ( g_true @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i] :
( ~ ( g_true @ X0 @ X1 )
| ~ ( g_false_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[false_only_g]) ).
thf(both_g,axiom,
! [X_2: $i,X_1: $i] :
( ( g_both @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ( g_false @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ( g_true @ X0 @ X1 )
| ~ ( g_both @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[both_g]) ).
thf(zip_derived_cl1138,plain,
! [X0: $i,X1: $i] :
( ~ ( g_false_only @ X1 @ X0 )
| ~ ( g_both @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl160]) ).
thf(zip_derived_cl1233,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl1138]) ).
thf(zip_derived_cl1234,plain,
( ! [X0: $i,X1: $i] :
( ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
| ( h_false_only @ sk_ @ X0 )
| ~ ( h_both @ sk_ @ X1 )
| ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) )
<= ( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
& ( g_both @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl1233]) ).
thf(zip_derived_cl1237,plain,
( ! [X0: $i] : ( h_false_only @ sk_ @ X0 )
<= ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl1194_004,plain,
( ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
<= ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf('5',plain,
( ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
| ~ ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1237,zip_derived_cl1194]) ).
thf(exhaustion_g,axiom,
! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 )
| ( g_true_only @ X_2 @ X_1 ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ( g_false_only @ X0 @ X1 )
| ( g_both @ X0 @ X1 )
| ( g_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[exhaustion_g]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ~ ( g_false_only @ sk__15 @ sk__16 )
| ~ ( h_true_only @ sk__17 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ~ ( g_false_only @ sk__15 @ sk__16 )
<= ~ ( g_false_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1147,plain,
( ( ( g_true_only @ sk__15 @ sk__16 )
| ( g_both @ sk__15 @ sk__16 ) )
<= ~ ( g_false_only @ sk__15 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl178]) ).
thf(zip_derived_cl1597,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf(zip_derived_cl203,plain,
( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
<= ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1602,plain,
( ! [X0: $i] :
( ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) )
| ~ ( h_both @ sk__15 @ X0 )
| ( h_true_only @ sk__15 @ ( sk__8 @ sk__15 ) ) )
<= ( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
& ( g_both @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1597,zip_derived_cl203]) ).
thf(zip_derived_cl1875,plain,
( ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf(zip_derived_cl1597_005,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf(zip_derived_cl185_006,plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
<= ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1599,plain,
( ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
| ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) ) )
<= ( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
& ( g_both @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1597,zip_derived_cl185]) ).
thf(zip_derived_cl1662,plain,
( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
<= ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1599]) ).
thf(exhaustion_h,axiom,
! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 )
| ( h_true_only @ X_2 @ X_1 ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] :
( ( h_false_only @ X0 @ X1 )
| ( h_both @ X0 @ X1 )
| ( h_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[exhaustion_h]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( h_true_only @ sk__15 @ X1 )
| ~ ( h_true_only @ sk__17 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl181,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1183,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ X0 ) )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl181]) ).
thf(zip_derived_cl1668,plain,
( ( h_both @ sk__15 @ ( sk__11 @ sk__15 ) )
<= ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
& ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1662,zip_derived_cl1183]) ).
thf('6',plain,
( ~ ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1875,zip_derived_cl1668]) ).
thf('7',plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl166_007,plain,
! [X0: $i,X1: $i] :
( ( g_false_only @ X0 @ X1 )
| ( g_both @ X0 @ X1 )
| ( g_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[exhaustion_g]) ).
thf(zip_derived_cl1,plain,
( ~ ( g_false_only @ sk__15 @ sk__16 )
| ~ ( g_false_only @ sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ~ ( g_false_only @ sk__17 @ sk__18 )
<= ~ ( g_false_only @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1148,plain,
( ( ( g_true_only @ sk__17 @ sk__18 )
| ( g_both @ sk__17 @ sk__18 ) )
<= ~ ( g_false_only @ sk__17 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl179]) ).
thf(zip_derived_cl1615,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf(zip_derived_cl203_008,plain,
( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
<= ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1620,plain,
( ! [X0: $i] :
( ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) )
| ~ ( h_both @ sk__17 @ X0 )
| ( h_true_only @ sk__17 @ ( sk__8 @ sk__17 ) ) )
<= ( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
& ( g_both @ sk__17 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl203]) ).
thf(zip_derived_cl1913,plain,
( ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1615_009,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf(zip_derived_cl185_010,plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
<= ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1617,plain,
( ( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
| ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) ) )
<= ( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
& ( g_both @ sk__17 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl185]) ).
thf(zip_derived_cl1704,plain,
( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
<= ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1617]) ).
thf(zip_derived_cl176_011,plain,
! [X0: $i,X1: $i] :
( ( h_false_only @ X0 @ X1 )
| ( h_both @ X0 @ X1 )
| ( h_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[exhaustion_h]) ).
thf(zip_derived_cl177,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1184,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ X0 ) )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl177]) ).
thf(zip_derived_cl1707,plain,
( ( h_both @ sk__17 @ ( sk__11 @ sk__17 ) )
<= ( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
& ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl1184]) ).
thf('8',plain,
( ~ ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1913,zip_derived_cl1707]) ).
thf(zip_derived_cl85,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_both @ sk__4 @ sk__6 )
| ( h_false_only @ sk__4 @ X14 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl650,plain,
( ( g_true_only @ sk_ @ sk__1 )
<= ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ( g_false @ X0 @ X1 )
| ~ ( g_both @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[both_g]) ).
thf(true_only_g,axiom,
! [X_2: $i,X_1: $i] :
( ( g_true_only @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ~ ( g_false @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] :
( ~ ( g_false @ X0 @ X1 )
| ~ ( g_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[true_only_g]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i,X1: $i] :
( ~ ( g_both @ X1 @ X0 )
| ~ ( g_true_only @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl158]) ).
thf(zip_derived_cl1319,plain,
( ~ ( g_both @ sk_ @ sk__1 )
<= ( g_true_only @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl1128]) ).
thf(zip_derived_cl209_012,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('9',plain,
( ~ ( g_true_only @ sk_ @ sk__1 )
| ~ ( g_both @ sk_ @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1319,zip_derived_cl209]) ).
thf('10',plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl176_013,plain,
! [X0: $i,X1: $i] :
( ( h_false_only @ X0 @ X1 )
| ( h_both @ X0 @ X1 )
| ( h_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[exhaustion_h]) ).
thf(zip_derived_cl16,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X20: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
<= ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1182,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ X0 )
| ( h_false_only @ sk__4 @ X0 ) )
<= ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl228]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1573,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ ( sk__10 @ X0 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl198]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1761,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__4 @ X0 )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl192]) ).
thf(zip_derived_cl1764,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__4 @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1761]) ).
thf(zip_derived_cl19,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl248,plain,
( ( g_true_only @ sk__4 @ sk__7 )
<= ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('11',plain,
( ~ ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ( g_true_only @ sk__4 @ sk__7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1764,zip_derived_cl248]) ).
thf(zip_derived_cl1183_014,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ X0 ) )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl181]) ).
thf(zip_derived_cl198_015,plain,
( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1585,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__10 @ X0 @ sk__15 ) )
| ~ ( g_true_only @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl198]) ).
thf(zip_derived_cl192_016,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1814,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__15 @ X0 )
| ~ ( g_true_only @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl192]) ).
thf(zip_derived_cl1815,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1814]) ).
thf(zip_derived_cl1661,plain,
( ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1599]) ).
thf('12',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl1661]) ).
thf(zip_derived_cl1815_017,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1814]) ).
thf(zip_derived_cl1668_018,plain,
( ( h_both @ sk__15 @ ( sk__11 @ sk__15 ) )
<= ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
& ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1662,zip_derived_cl1183]) ).
thf(zip_derived_cl31,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_both @ sk__4 @ sk__6 )
| ( h_false_only @ sk__4 @ X14 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl325,plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1138_019,plain,
! [X0: $i,X1: $i] :
( ~ ( g_false_only @ X1 @ X0 )
| ~ ( g_both @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl160]) ).
thf(zip_derived_cl1483,plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl325,zip_derived_cl1138]) ).
thf(zip_derived_cl1671,plain,
( ! [X0: $i] :
( ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X0 )
| ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) ) )
<= ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
& ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1668,zip_derived_cl1483]) ).
thf(zip_derived_cl181_020,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1684,plain,
( ! [X0: $i] :
( ~ ( g_both @ sk__15 @ X0 )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) ) )
<= ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
& ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1671,zip_derived_cl181]) ).
thf(zip_derived_cl1687,plain,
( ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf('13',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl1687]) ).
thf(zip_derived_cl1184_021,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ X0 ) )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl177]) ).
thf(zip_derived_cl198_022,plain,
( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1589,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ ( sk__10 @ X0 @ sk__17 ) )
| ~ ( g_true_only @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl198]) ).
thf(zip_derived_cl192_023,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1852,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__17 @ X0 )
| ~ ( g_true_only @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1589,zip_derived_cl192]) ).
thf(zip_derived_cl1853,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1852]) ).
thf(zip_derived_cl1707_024,plain,
( ( h_both @ sk__17 @ ( sk__11 @ sk__17 ) )
<= ( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
& ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1704,zip_derived_cl1184]) ).
thf(zip_derived_cl1483_025,plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl325,zip_derived_cl1138]) ).
thf(zip_derived_cl1710,plain,
( ! [X0: $i] :
( ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ X0 )
| ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) ) )
<= ( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
& ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1707,zip_derived_cl1483]) ).
thf(zip_derived_cl177_026,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1717,plain,
( ! [X0: $i] :
( ~ ( g_both @ sk__17 @ X0 )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) ) )
<= ( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
& ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1710,zip_derived_cl177]) ).
thf(zip_derived_cl1720,plain,
( ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf('14',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1720]) ).
thf(zip_derived_cl90,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X19: $i,X20: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('15',plain,
( ( g_both @ sk_ @ sk__1 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl53,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X20: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl107,plain,
! [X10: $i,X11: $i,X12: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X20: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_both @ sk_ @ sk__1 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1573_027,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ ( sk__10 @ X0 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl198]) ).
thf(zip_derived_cl187_028,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1759,plain,
( ! [X0: $i,X1: $i] :
( ~ ( g_true_only @ sk__4 @ X0 )
| ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X1 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl187]) ).
thf(zip_derived_cl1784,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__4 @ X0 )
| ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1759]) ).
thf(zip_derived_cl228_029,plain,
( ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
<= ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1785,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__4 @ X0 )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1784,zip_derived_cl228]) ).
thf(zip_derived_cl248_030,plain,
( ( g_true_only @ sk__4 @ sk__7 )
<= ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('18',plain,
( ~ ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ( g_true_only @ sk__4 @ sk__7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1785,zip_derived_cl248]) ).
thf(zip_derived_cl204_031,plain,
( ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
<= ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl198_032,plain,
( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1218,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__4 @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl198]) ).
thf(zip_derived_cl248_033,plain,
( ( g_true_only @ sk__4 @ sk__7 )
<= ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('19',plain,
( ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ( g_true_only @ sk__4 @ sk__7 )
| ~ ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1218,zip_derived_cl248]) ).
thf(zip_derived_cl111,plain,
! [X10: $i,X11: $i,X12: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_both @ sk_ @ sk__1 )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl75,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl1589_034,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ ( sk__10 @ X0 @ sk__17 ) )
| ~ ( g_true_only @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl198]) ).
thf(zip_derived_cl187_035,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1850,plain,
( ! [X0: $i,X1: $i] :
( ~ ( g_true_only @ sk__17 @ X0 )
| ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) )
| ~ ( g_true_only @ sk__17 @ X1 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1589,zip_derived_cl187]) ).
thf(zip_derived_cl1861,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__17 @ X0 )
| ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1850]) ).
thf(zip_derived_cl177_036,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1862,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1861,zip_derived_cl177]) ).
thf(zip_derived_cl1703,plain,
( ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1617]) ).
thf('22',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1862,zip_derived_cl1703]) ).
thf(zip_derived_cl1597_037,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf(zip_derived_cl1233_038,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl1138]) ).
thf(zip_derived_cl1600,plain,
( ! [X0: $i,X1: $i] :
( ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( h_false_only @ sk__15 @ X0 )
| ~ ( h_both @ sk__15 @ X1 )
| ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) ) )
<= ( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
& ( g_both @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1597,zip_derived_cl1233]) ).
thf(zip_derived_cl2233,plain,
( ! [X0: $i] : ( h_false_only @ sk__15 @ X0 )
<= ! [X0: $i] : ( h_false_only @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1600]) ).
thf(false_only_h,axiom,
! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
<=> ( ( h_false @ X_2 @ X_1 )
& ~ ( h_true @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ~ ( h_true @ X0 @ X1 )
| ~ ( h_false_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[false_only_h]) ).
thf(both_h,axiom,
! [X_2: $i,X_1: $i] :
( ( h_both @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ( h_false @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ( h_true @ X0 @ X1 )
| ~ ( h_both @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[both_h]) ).
thf(zip_derived_cl1172,plain,
! [X0: $i,X1: $i] :
( ~ ( h_false_only @ X1 @ X0 )
| ~ ( h_both @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl170]) ).
thf(zip_derived_cl2236,plain,
( ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
<= ! [X0: $i] : ( h_false_only @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2233,zip_derived_cl1172]) ).
thf(zip_derived_cl1183_039,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ X0 ) )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl181]) ).
thf(zip_derived_cl186,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1584,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__10 @ X0 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl186]) ).
thf(zip_derived_cl2245,plain,
( ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X0: $i] : ( h_false_only @ sk__15 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2236,zip_derived_cl1584]) ).
thf(zip_derived_cl1597_040,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('23',plain,
( ~ ! [X0: $i] : ( h_false_only @ sk__15 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ( g_both @ sk__15 @ sk__16 )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2245,zip_derived_cl1597]) ).
thf(zip_derived_cl108,plain,
! [X10: $i,X11: $i,X12: $i,X14: $i,X15: $i,X16: $i,X17: $i,X19: $i,X20: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_both @ sk_ @ sk__1 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf(zip_derived_cl1239,plain,
( ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
<= ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl206_041,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl198_042,plain,
( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1249,plain,
( ! [X0: $i] :
( ( h_both @ sk_ @ ( sk__10 @ X0 @ sk_ ) )
| ~ ( g_true_only @ sk_ @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl198]) ).
thf(zip_derived_cl192_043,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1297,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk_ @ X0 )
| ~ ( g_true_only @ sk_ @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1249,zip_derived_cl192]) ).
thf(zip_derived_cl1300,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1297]) ).
thf('25',plain,
( ~ ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1239,zip_derived_cl1300]) ).
thf(zip_derived_cl71,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X20: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl1687_044,plain,
( ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf(zip_derived_cl1183_045,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ X0 ) )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl181]) ).
thf(zip_derived_cl189_046,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1586,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) )
| ~ ( g_true_only @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl189]) ).
thf(zip_derived_cl1635,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf('27',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1687,zip_derived_cl1635]) ).
thf(zip_derived_cl1661_047,plain,
( ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1599]) ).
thf(zip_derived_cl1635_048,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf('28',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1661,zip_derived_cl1635]) ).
thf('29',plain,
( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ sk__18 )
| ~ ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1617]) ).
thf(zip_derived_cl1720_049,plain,
( ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf(zip_derived_cl1184_050,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ X0 ) )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl177]) ).
thf(zip_derived_cl189_051,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1590,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) )
| ~ ( g_true_only @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl189]) ).
thf(zip_derived_cl1642,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf('30',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1720,zip_derived_cl1642]) ).
thf(zip_derived_cl1703_052,plain,
( ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1617]) ).
thf(zip_derived_cl1642_053,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf('31',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__12 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1703,zip_derived_cl1642]) ).
thf(zip_derived_cl1585_054,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__10 @ X0 @ sk__15 ) )
| ~ ( g_true_only @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl198]) ).
thf(zip_derived_cl187_055,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1812,plain,
( ! [X0: $i,X1: $i] :
( ~ ( g_true_only @ sk__15 @ X0 )
| ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) )
| ~ ( g_true_only @ sk__15 @ X1 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl187]) ).
thf(zip_derived_cl1827,plain,
( ! [X0: $i] :
( ~ ( g_true_only @ sk__15 @ X0 )
| ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1812]) ).
thf(zip_derived_cl181_056,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1828,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1827,zip_derived_cl181]) ).
thf(zip_derived_cl1687_057,plain,
( ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf('32',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1687]) ).
thf(zip_derived_cl1828_058,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1827,zip_derived_cl181]) ).
thf(zip_derived_cl1661_059,plain,
( ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1599]) ).
thf('33',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1661]) ).
thf(zip_derived_cl1597_060,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf(zip_derived_cl22,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ sk__4 @ sk__6 )
| ( h_false_only @ sk__4 @ X14 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl265,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1138_061,plain,
! [X0: $i,X1: $i] :
( ~ ( g_false_only @ X1 @ X0 )
| ~ ( g_both @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl160]) ).
thf(zip_derived_cl1337,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_both @ X10 @ X13 )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl1138]) ).
thf(zip_derived_cl1601,plain,
( ! [X0: $i,X1: $i] :
( ( h_both @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ X0 )
| ~ ( h_both @ sk__15 @ X1 )
| ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) ) )
<= ( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) )
& ( g_both @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1597,zip_derived_cl1337]) ).
thf(zip_derived_cl1963,plain,
( ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) )
<= ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1601]) ).
thf(zip_derived_cl181_062,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('34',plain,
( ~ ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1963,zip_derived_cl181]) ).
thf(zip_derived_cl145,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X15: $i,X16: $i,X17: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('36',plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('37',plain,
( ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1584_063,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__10 @ X0 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl186]) ).
thf(zip_derived_cl1483_064,plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl325,zip_derived_cl1138]) ).
thf(zip_derived_cl1802,plain,
( ! [X0: $i,X1: $i] :
( ~ ( g_both @ sk__15 @ X0 )
| ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X1 )
| ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1584,zip_derived_cl1483]) ).
thf(zip_derived_cl1807,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) )
| ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1802]) ).
thf(zip_derived_cl181_065,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1808,plain,
( ! [X0: $i] :
( ~ ( g_both @ sk__15 @ X0 )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1807,zip_derived_cl181]) ).
thf('38',plain,
( ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
| ~ ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1808]) ).
thf('39',plain,
( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ sk__16 )
| ~ ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) )
| ( g_true_only @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1599]) ).
thf(zip_derived_cl2245_066,plain,
( ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X0: $i] : ( h_false_only @ sk__15 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2236,zip_derived_cl1584]) ).
thf(zip_derived_cl1686,plain,
( ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
<= ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf('40',plain,
( ~ ( g_both @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X0: $i] : ( h_false_only @ sk__15 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2245,zip_derived_cl1686]) ).
thf(zip_derived_cl2236_067,plain,
( ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
<= ! [X0: $i] : ( h_false_only @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2233,zip_derived_cl1172]) ).
thf(zip_derived_cl1668_068,plain,
( ( h_both @ sk__15 @ ( sk__11 @ sk__15 ) )
<= ( ~ ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
& ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1662,zip_derived_cl1183]) ).
thf('41',plain,
( ~ ! [X0: $i] : ( h_false_only @ sk__15 @ X0 )
| ( h_false_only @ sk__15 @ ( sk__11 @ sk__15 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2236,zip_derived_cl1668]) ).
thf(zip_derived_cl1685,plain,
( ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf(zip_derived_cl1597_069,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('42',plain,
( ~ ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
| ~ ( g_both @ sk__15 @ sk__16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1685,zip_derived_cl1597]) ).
thf('43',plain,
( ! [X0: $i] : ( h_false_only @ sk__15 @ X0 )
| ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
| ( g_true_only @ sk__15 @ ( sk__2 @ sk__15 ) )
| ~ ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ( h_true_only @ sk__15 @ ( sk__3 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1600]) ).
thf(zip_derived_cl1615_070,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf(zip_derived_cl1233_071,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl1138]) ).
thf(zip_derived_cl1618,plain,
( ! [X0: $i,X1: $i] :
( ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( h_false_only @ sk__17 @ X0 )
| ~ ( h_both @ sk__17 @ X1 )
| ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) ) )
<= ( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
& ( g_both @ sk__17 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl1233]) ).
thf('44',plain,
( ~ ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X0: $i] : ( h_false_only @ sk__17 @ X0 )
| ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1618]) ).
thf(zip_derived_cl1184_072,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ X0 ) )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl177]) ).
thf(zip_derived_cl186_073,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1588,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ ( sk__10 @ X0 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl186]) ).
thf(zip_derived_cl1483_074,plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl325,zip_derived_cl1138]) ).
thf(zip_derived_cl1825,plain,
( ! [X0: $i,X1: $i] :
( ~ ( g_both @ sk__17 @ X0 )
| ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ X1 )
| ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1588,zip_derived_cl1483]) ).
thf(zip_derived_cl1844,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) )
| ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1825]) ).
thf(zip_derived_cl177_075,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl1845,plain,
( ! [X0: $i] :
( ~ ( g_both @ sk__17 @ X0 )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1844,zip_derived_cl177]) ).
thf('45',plain,
( ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1845]) ).
thf(zip_derived_cl1718,plain,
( ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf(zip_derived_cl1615_076,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf('46',plain,
( ~ ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 )
| ~ ( g_both @ sk__17 @ sk__18 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1718,zip_derived_cl1615]) ).
thf(zip_derived_cl1862_077,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1861,zip_derived_cl177]) ).
thf(zip_derived_cl1720_078,plain,
( ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf('47',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1862,zip_derived_cl1720]) ).
thf(zip_derived_cl1862_079,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1861,zip_derived_cl177]) ).
thf(zip_derived_cl1614,plain,
( ( g_true_only @ sk__17 @ sk__18 )
<= ( g_true_only @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf('48',plain,
( ~ ( g_true_only @ sk__17 @ sk__18 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1862,zip_derived_cl1614]) ).
thf(zip_derived_cl1615_080,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf(zip_derived_cl1337_081,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_both @ X10 @ X13 )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl1138]) ).
thf(zip_derived_cl1619,plain,
( ! [X0: $i,X1: $i] :
( ( h_both @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ X0 )
| ~ ( h_both @ sk__17 @ X1 )
| ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) ) )
<= ( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) )
& ( g_both @ sk__17 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl1337]) ).
thf(zip_derived_cl2090,plain,
( ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) )
<= ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1619]) ).
thf(zip_derived_cl177_082,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('49',plain,
( ~ ( h_true_only @ sk__17 @ ( sk__3 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2090,zip_derived_cl177]) ).
thf(zip_derived_cl2306,plain,
( ! [X0: $i] : ( h_false_only @ sk__17 @ X0 )
<= ! [X0: $i] : ( h_false_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1618]) ).
thf(zip_derived_cl186_083,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl2310,plain,
( ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X0: $i] : ( h_false_only @ sk__17 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2306,zip_derived_cl186]) ).
thf(zip_derived_cl1719,plain,
( ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
<= ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf('50',plain,
( ~ ! [X0: $i] : ( h_false_only @ sk__17 @ X0 )
| ~ ( g_both @ sk__17 @ ( sk__2 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2310,zip_derived_cl1719]) ).
thf(zip_derived_cl109,plain,
! [X10: $i,X11: $i,X12: $i,X15: $i,X16: $i,X17: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('51',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_both @ sk__4 @ sk__5 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_both @ sk_ @ sk__1 )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl1239_084,plain,
( ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
<= ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl1261_085,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1258]) ).
thf('52',plain,
( ~ ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1239,zip_derived_cl1261]) ).
thf(zip_derived_cl209_086,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1337_087,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_both @ X10 @ X13 )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl1138]) ).
thf(zip_derived_cl1338,plain,
( ! [X0: $i,X1: $i] :
( ( h_both @ sk_ @ X0 )
| ( h_false_only @ sk_ @ X0 )
| ~ ( h_both @ sk_ @ X1 )
| ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) )
<= ( ( g_both @ sk_ @ sk__1 )
& ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl1337]) ).
thf(zip_derived_cl1342,plain,
( ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1338]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i] :
( ( h_false @ X0 @ X1 )
| ~ ( h_false_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[false_only_h]) ).
thf(true_only_h,axiom,
! [X_2: $i,X_1: $i] :
( ( h_true_only @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ~ ( h_false @ X_2 @ X_1 ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ~ ( h_false @ X0 @ X1 )
| ~ ( h_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[true_only_h]) ).
thf(zip_derived_cl1169,plain,
! [X0: $i,X1: $i] :
( ~ ( h_false_only @ X1 @ X0 )
| ~ ( h_true_only @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl168]) ).
thf(zip_derived_cl1344,plain,
( ~ ( h_false_only @ sk_ @ ( sk__3 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl1169]) ).
thf(zip_derived_cl206_088,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1359,plain,
( ( h_both @ sk_ @ ( sk__3 @ sk_ ) )
<= ( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
& ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1344,zip_derived_cl206]) ).
thf(zip_derived_cl1342_089,plain,
( ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1338]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ( h_false @ X0 @ X1 )
| ~ ( h_both @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[both_h]) ).
thf(zip_derived_cl168_090,plain,
! [X0: $i,X1: $i] :
( ~ ( h_false @ X0 @ X1 )
| ~ ( h_true_only @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[true_only_h]) ).
thf(zip_derived_cl1160,plain,
! [X0: $i,X1: $i] :
( ~ ( h_both @ X1 @ X0 )
| ~ ( h_true_only @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl168]) ).
thf(zip_derived_cl1343,plain,
( ~ ( h_both @ sk_ @ ( sk__3 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl1160]) ).
thf('53',plain,
( ~ ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1359,zip_derived_cl1343]) ).
thf(zip_derived_cl73,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_both @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ! [X10: $i,X11: $i,X12: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_both @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_both @ sk__4 @ sk__5 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl2306_091,plain,
( ! [X0: $i] : ( h_false_only @ sk__17 @ X0 )
<= ! [X0: $i] : ( h_false_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1618]) ).
thf(zip_derived_cl1704_092,plain,
( ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) )
<= ~ ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1617]) ).
thf('55',plain,
( ~ ! [X0: $i] : ( h_false_only @ sk__17 @ X0 )
| ( h_false_only @ sk__17 @ ( sk__11 @ sk__17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2306,zip_derived_cl1704]) ).
thf(zip_derived_cl57,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl93,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('57',plain,
( ( g_both @ sk_ @ sk__1 )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ( g_true_only @ sk_ @ sk__1 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl89,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X20: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('58',plain,
( ( g_both @ sk_ @ sk__1 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk_ @ sk__1 )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl125,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X20: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ( g_true_only @ sk_ @ sk__1 )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl54,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X19: $i,X20: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ~ ( h_true_only @ sk__4 @ X20 )
| ( h_false_only @ sk__4 @ X14 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl1182_093,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ X0 )
| ( h_false_only @ sk__4 @ X0 ) )
<= ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl228]) ).
thf(zip_derived_cl189_094,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1574,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl189]) ).
thf('61',plain,
( ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) )
| ~ ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl1574]) ).
thf(zip_derived_cl208,plain,
( ( h_both @ sk__4 @ sk__6 )
<= ( h_both @ sk__4 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl187_095,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1206,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ( h_both @ sk__4 @ sk__6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl187]) ).
thf(zip_derived_cl1212,plain,
( ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
<= ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1206]) ).
thf(zip_derived_cl228_096,plain,
( ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 )
<= ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf('62',plain,
( ~ ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
| ~ ! [X20: $i] :
~ ( h_true_only @ sk__4 @ X20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1212,zip_derived_cl228]) ).
thf(zip_derived_cl207_097,plain,
( ( g_both @ sk__4 @ sk__5 )
<= ( g_both @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1337_098,plain,
( ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_both @ X10 @ X13 )
| ( h_false_only @ X10 @ X13 )
| ~ ( g_both @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) ) )
<= ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl1138]) ).
thf(zip_derived_cl1339,plain,
( ! [X0: $i,X1: $i] :
( ( h_both @ sk__4 @ X0 )
| ( h_false_only @ sk__4 @ X0 )
| ~ ( h_both @ sk__4 @ X1 )
| ( h_true_only @ sk__4 @ ( sk__3 @ sk__4 ) ) )
<= ( ( g_both @ sk__4 @ sk__5 )
& ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( h_both @ X10 @ X13 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl1337]) ).
thf(zip_derived_cl1346,plain,
( ! [X0: $i] :
( ( h_false_only @ sk__4 @ X0 )
| ( h_both @ sk__4 @ X0 ) )
<= ! [X0: $i] :
( ( h_false_only @ sk__4 @ X0 )
| ( h_both @ sk__4 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1339]) ).
thf(zip_derived_cl189_099,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1351,plain,
( ! [X0: $i] :
( ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X0: $i] :
( ( h_false_only @ sk__4 @ X0 )
| ( h_both @ sk__4 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1346,zip_derived_cl189]) ).
thf(zip_derived_cl1380,plain,
( ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) )
<= ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1351]) ).
thf(zip_derived_cl187_100,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1381,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
| ~ ( g_true_only @ sk__4 @ X0 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl187]) ).
thf('63',plain,
( ~ ( h_both @ sk__4 @ ( sk__13 @ sk__4 ) )
| ( h_true_only @ sk__4 @ ( sk__14 @ sk__4 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl1381]) ).
thf(zip_derived_cl248_101,plain,
( ( g_true_only @ sk__4 @ sk__7 )
<= ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1151_102,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__4 @ X0 )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl189]) ).
thf('64',plain,
( ~ ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ sk__7 )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl1151]) ).
thf(zip_derived_cl204_103,plain,
( ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
<= ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl186_104,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1201,plain,
( ! [X0: $i] :
~ ( g_both @ sk__4 @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl186]) ).
thf(zip_derived_cl207_105,plain,
( ( g_both @ sk__4 @ sk__5 )
<= ( g_both @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('65',plain,
( ~ ( g_both @ sk__4 @ sk__5 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X14: $i] : ( h_false_only @ sk__4 @ X14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1201,zip_derived_cl207]) ).
thf(zip_derived_cl91,plain,
! [X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( ( g_both @ sk_ @ sk__1 )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_true_only @ sk_ @ sk__1 )
| ( g_both @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl127,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk__4 @ sk__5 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ( g_true_only @ sk_ @ sk__1 )
| ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl650_106,plain,
( ( g_true_only @ sk_ @ sk__1 )
<= ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1261_107,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1258]) ).
thf('68',plain,
( ~ ( g_true_only @ sk_ @ sk__1 )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl1261]) ).
thf(zip_derived_cl55,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( g_both @ sk__4 @ sk__5 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('69',plain,
( ( g_both @ sk__4 @ sk__5 )
| ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl206_108,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl189_109,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1250,plain,
( ! [X0: $i] :
( ( h_both @ sk_ @ ( sk__13 @ sk_ ) )
| ~ ( g_true_only @ sk_ @ X0 ) )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl189]) ).
thf('70',plain,
( ( h_both @ sk_ @ ( sk__13 @ sk_ ) )
| ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1250]) ).
thf(zip_derived_cl1267,plain,
( ( h_both @ sk_ @ ( sk__13 @ sk_ ) )
<= ( h_both @ sk_ @ ( sk__13 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1250]) ).
thf(zip_derived_cl187_110,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1268,plain,
( ! [X0: $i] :
( ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
| ~ ( g_true_only @ sk_ @ X0 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ( h_both @ sk_ @ ( sk__13 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1267,zip_derived_cl187]) ).
thf(zip_derived_cl1272,plain,
( ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1268]) ).
thf(zip_derived_cl1169_111,plain,
! [X0: $i,X1: $i] :
( ~ ( h_false_only @ X1 @ X0 )
| ~ ( h_true_only @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl168]) ).
thf(zip_derived_cl1274,plain,
( ~ ( h_false_only @ sk_ @ ( sk__14 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1272,zip_derived_cl1169]) ).
thf(zip_derived_cl206_112,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1281,plain,
( ( h_both @ sk_ @ ( sk__14 @ sk_ ) )
<= ( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
& ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1274,zip_derived_cl206]) ).
thf(zip_derived_cl1272_113,plain,
( ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1268]) ).
thf(zip_derived_cl1160_114,plain,
! [X0: $i,X1: $i] :
( ~ ( h_both @ X1 @ X0 )
| ~ ( h_true_only @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl168]) ).
thf(zip_derived_cl1273,plain,
( ~ ( h_both @ sk_ @ ( sk__14 @ sk_ ) )
<= ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1272,zip_derived_cl1160]) ).
thf('71',plain,
( ~ ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1281,zip_derived_cl1273]) ).
thf('72',plain,
( ~ ( h_both @ sk_ @ ( sk__13 @ sk_ ) )
| ( h_true_only @ sk_ @ ( sk__14 @ sk_ ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1268]) ).
thf(zip_derived_cl206_115,plain,
( ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
<= ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl186_116,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1248,plain,
( ! [X0: $i] :
( ( h_both @ sk_ @ ( sk__10 @ X0 @ sk_ ) )
| ~ ( g_both @ sk_ @ X0 ) )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl186]) ).
thf(zip_derived_cl209_117,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl203_118,plain,
( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
<= ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1223,plain,
( ! [X0: $i] :
( ( g_true_only @ sk_ @ ( sk__9 @ sk_ ) )
| ~ ( h_both @ sk_ @ X0 )
| ( h_true_only @ sk_ @ ( sk__8 @ sk_ ) ) )
<= ( ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
& ( g_both @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl203]) ).
thf(zip_derived_cl1225,plain,
( ! [X0: $i] :
~ ( h_both @ sk_ @ X0 )
<= ! [X0: $i] :
~ ( h_both @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1223]) ).
thf(zip_derived_cl1277,plain,
( ! [X0: $i] :
~ ( g_both @ sk_ @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
& ! [X0: $i] :
~ ( h_both @ sk_ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1248,zip_derived_cl1225]) ).
thf(zip_derived_cl209_119,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('73',plain,
( ~ ! [X0: $i] :
~ ( h_both @ sk_ @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) )
| ~ ( g_both @ sk_ @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1277,zip_derived_cl209]) ).
thf('74',plain,
( ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ~ ( g_both @ sk_ @ sk__1 )
| ~ ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ( h_true_only @ sk_ @ ( sk__3 @ sk_ ) )
| ( g_true_only @ sk_ @ ( sk__2 @ sk_ ) )
| ! [X0: $i] :
~ ( h_both @ sk_ @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl1237_120,plain,
( ! [X0: $i] : ( h_false_only @ sk_ @ X0 )
<= ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl186_121,plain,
( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1241,plain,
( ! [X0: $i] :
~ ( g_both @ sk_ @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1237,zip_derived_cl186]) ).
thf(zip_derived_cl209_122,plain,
( ( g_both @ sk_ @ sk__1 )
<= ( g_both @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('75',plain,
( ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ~ ( g_both @ sk_ @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1241,zip_derived_cl209]) ).
thf(zip_derived_cl1815_123,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1814]) ).
thf(zip_derived_cl1596,plain,
( ( g_true_only @ sk__15 @ sk__16 )
<= ( g_true_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('76',plain,
( ~ ( g_true_only @ sk__15 @ sk__16 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1815,zip_derived_cl1596]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X3: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X3: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1828_124,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1827,zip_derived_cl181]) ).
thf(zip_derived_cl1596_125,plain,
( ( g_true_only @ sk__15 @ sk__16 )
<= ( g_true_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('79',plain,
( ~ ( g_true_only @ sk__15 @ sk__16 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl1596]) ).
thf(zip_derived_cl1877,plain,
( ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf(zip_derived_cl1815_126,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1814]) ).
thf('80',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl1815]) ).
thf(zip_derived_cl1915,plain,
( ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1853_127,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1852]) ).
thf('81',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1853]) ).
thf(zip_derived_cl1853_128,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1852]) ).
thf(zip_derived_cl1614_129,plain,
( ( g_true_only @ sk__17 @ sk__18 )
<= ( g_true_only @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf('82',plain,
( ~ ( g_true_only @ sk__17 @ sk__18 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1614]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X3: $i,X6: $i,X8: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('83',plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X3: $i,X6: $i,X8: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('84',plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('85',plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X1: $i] :
( ~ ( h_true_only @ sk__15 @ X1 )
| ~ ( g_false_only @ sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('86',plain,
( ~ ( g_false_only @ sk__17 @ sk__18 )
| ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('87',plain,
( ~ ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
| ~ ( g_both @ sk__15 @ sk__16 )
| ( h_true_only @ sk__15 @ ( sk__8 @ sk__15 ) )
| ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf('88',plain,
( ( g_both @ sk__15 @ sk__16 )
| ( g_true_only @ sk__15 @ sk__16 )
| ( g_false_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf(zip_derived_cl1877_130,plain,
( ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) )
<= ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf(zip_derived_cl1635_131,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf('89',plain,
( ~ ( g_true_only @ sk__15 @ ( sk__9 @ sk__15 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl1635]) ).
thf(zip_derived_cl1635_132,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf(zip_derived_cl1596_133,plain,
( ( g_true_only @ sk__15 @ sk__16 )
<= ( g_true_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('90',plain,
( ~ ( g_true_only @ sk__15 @ sk__16 )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1635,zip_derived_cl1596]) ).
thf(zip_derived_cl1876,plain,
( ( h_true_only @ sk__15 @ ( sk__8 @ sk__15 ) )
<= ( h_true_only @ sk__15 @ ( sk__8 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf(zip_derived_cl181_134,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('91',plain,
( ~ ( h_true_only @ sk__15 @ ( sk__8 @ sk__15 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl181]) ).
thf(zip_derived_cl1636,plain,
( ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) )
<= ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf(zip_derived_cl187_135,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1640,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) )
| ~ ( g_true_only @ sk__15 @ X0 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1636,zip_derived_cl187]) ).
thf('92',plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
| ~ ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1640]) ).
thf('93',plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__15 @ X0 )
| ( h_both @ sk__15 @ ( sk__13 @ sk__15 ) )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1586]) ).
thf(zip_derived_cl1647,plain,
( ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) )
<= ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1640]) ).
thf(zip_derived_cl181_136,plain,
( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
<= ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('94',plain,
( ~ ( h_true_only @ sk__15 @ ( sk__14 @ sk__15 ) )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1647,zip_derived_cl181]) ).
thf(zip_derived_cl1875_137,plain,
( ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
<= ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1602]) ).
thf(zip_derived_cl1584_138,plain,
( ! [X0: $i] :
( ( h_both @ sk__15 @ ( sk__10 @ X0 @ sk__15 ) )
| ~ ( g_both @ sk__15 @ X0 ) )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl186]) ).
thf(zip_derived_cl1878,plain,
( ! [X0: $i] :
~ ( g_both @ sk__15 @ X0 )
<= ( ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1875,zip_derived_cl1584]) ).
thf(zip_derived_cl1597_139,plain,
( ( g_both @ sk__15 @ sk__16 )
<= ( g_both @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1147]) ).
thf('95',plain,
( ~ ! [X0: $i] :
~ ( h_both @ sk__15 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ( g_both @ sk__15 @ sk__16 )
| ~ ! [X1: $i] :
~ ( h_true_only @ sk__15 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1878,zip_derived_cl1597]) ).
thf('96',plain,
( ( g_both @ sk__17 @ sk__18 )
| ( g_true_only @ sk__17 @ sk__18 )
| ( g_false_only @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf(zip_derived_cl1915_140,plain,
( ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) )
<= ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1642_141,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf('97',plain,
( ~ ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1642]) ).
thf(zip_derived_cl1642_142,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf(zip_derived_cl1614_143,plain,
( ( g_true_only @ sk__17 @ sk__18 )
<= ( g_true_only @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf('98',plain,
( ~ ( g_true_only @ sk__17 @ sk__18 )
| ~ ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1642,zip_derived_cl1614]) ).
thf(zip_derived_cl1914,plain,
( ( h_true_only @ sk__17 @ ( sk__8 @ sk__17 ) )
<= ( h_true_only @ sk__17 @ ( sk__8 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl177_144,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('99',plain,
( ~ ( h_true_only @ sk__17 @ ( sk__8 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1914,zip_derived_cl177]) ).
thf('100',plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
| ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf(zip_derived_cl1643,plain,
( ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) )
<= ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf(zip_derived_cl187_145,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
<= ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1654,plain,
( ! [X0: $i] :
( ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) )
| ~ ( g_true_only @ sk__17 @ X0 ) )
<= ( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
& ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1643,zip_derived_cl187]) ).
thf(zip_derived_cl1657,plain,
( ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) )
<= ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1654]) ).
thf(zip_derived_cl177_146,plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('101',plain,
( ~ ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1657,zip_derived_cl177]) ).
thf('102',plain,
( ! [X0: $i] :
~ ( g_true_only @ sk__17 @ X0 )
| ~ ( h_both @ sk__17 @ ( sk__13 @ sk__17 ) )
| ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ( h_true_only @ sk__17 @ ( sk__14 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1654]) ).
thf('103',plain,
( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
| ~ ( g_false_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('104',plain,
( ~ ( g_false_only @ sk__17 @ sk__18 )
| ~ ( g_false_only @ sk__15 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1913_147,plain,
( ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
<= ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1588_148,plain,
( ! [X0: $i] :
( ( h_both @ sk__17 @ ( sk__10 @ X0 @ sk__17 ) )
| ~ ( g_both @ sk__17 @ X0 ) )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1184,zip_derived_cl186]) ).
thf(zip_derived_cl1916,plain,
( ! [X0: $i] :
~ ( g_both @ sk__17 @ X0 )
<= ( ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1913,zip_derived_cl1588]) ).
thf(zip_derived_cl1615_149,plain,
( ( g_both @ sk__17 @ sk__18 )
<= ( g_both @ sk__17 @ sk__18 ) ),
inference(split,[status(esa)],[zip_derived_cl1148]) ).
thf('105',plain,
( ~ ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ( g_both @ sk__17 @ sk__18 )
| ~ ! [X0: $i] :
~ ( h_true_only @ sk__17 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1916,zip_derived_cl1615]) ).
thf('106',plain,
( ~ ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) )
| ! [X0: $i] :
~ ( h_both @ sk__17 @ X0 )
| ~ ( g_both @ sk__17 @ sk__18 )
| ( h_true_only @ sk__17 @ ( sk__8 @ sk__17 ) )
| ( g_true_only @ sk__17 @ ( sk__9 @ sk__17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl650_150,plain,
( ( g_true_only @ sk_ @ sk__1 )
<= ( g_true_only @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1300_151,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ( ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
& ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
& ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1297]) ).
thf('107',plain,
( ~ ! [X2: $i,X3: $i] :
( ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) )
| ~ ( g_true_only @ X2 @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( g_true_only @ X2 @ X3 )
| ~ ( h_both @ X2 @ ( sk__10 @ X3 @ X2 ) ) )
| ~ ( g_true_only @ sk_ @ sk__1 )
| ~ ! [X9: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl1300]) ).
thf('108',plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ ( h_both @ X6 @ X7 )
| ( h_true_only @ X6 @ ( sk__14 @ X6 ) )
| ~ ( g_true_only @ X6 @ X8 ) )
| ! [X2: $i,X3: $i] :
( ~ ( g_both @ X2 @ X3 )
| ~ ( h_false_only @ X2 @ ( sk__10 @ X3 @ X2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl248_152,plain,
( ( g_true_only @ sk__4 @ sk__7 )
<= ( g_true_only @ sk__4 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl14,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( ( h_both @ sk_ @ X9 )
| ( h_false_only @ sk_ @ X9 )
| ( g_both @ sk_ @ sk__1 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( h_both @ sk__4 @ sk__6 )
| ( h_false_only @ sk__4 @ X14 )
| ~ ( g_true_only @ sk__4 @ X18 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 )
<= ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf('109',plain,
( ~ ( g_true_only @ sk__4 @ sk__7 )
| ~ ! [X18: $i] :
~ ( g_true_only @ sk__4 @ X18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl214]) ).
thf(zip_derived_cl129,plain,
! [X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X15: $i,X16: $i,X17: $i,X19: $i] :
( ( g_true_only @ sk_ @ sk__1 )
| ( h_false_only @ sk_ @ X9 )
| ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) )
| ( g_true_only @ sk__4 @ sk__7 )
| ( h_false_only @ sk__4 @ X19 )
| ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ( g_true_only @ sk__4 @ sk__7 )
| ! [X10: $i,X11: $i,X12: $i,X13: $i] :
( ( h_true_only @ X10 @ ( sk__3 @ X10 ) )
| ( g_false_only @ X10 @ X11 )
| ~ ( h_both @ X10 @ X12 )
| ~ ( g_both @ X10 @ X11 )
| ( h_false_only @ X10 @ X13 )
| ( g_true_only @ X10 @ ( sk__2 @ X10 ) ) )
| ! [X14: $i] : ( h_false_only @ sk__4 @ X14 )
| ( g_true_only @ sk_ @ sk__1 )
| ! [X15: $i,X16: $i,X17: $i] :
( ~ ( g_both @ X15 @ X16 )
| ( g_true_only @ X15 @ ( sk__9 @ X15 ) )
| ~ ( h_both @ X15 @ X17 )
| ( h_true_only @ X15 @ ( sk__8 @ X15 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl1237_153,plain,
( ! [X0: $i] : ( h_false_only @ sk_ @ X0 )
<= ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ),
inference(split,[status(esa)],[zip_derived_cl1234]) ).
thf(zip_derived_cl189_154,plain,
( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
<= ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1243,plain,
( ! [X0: $i] :
~ ( g_true_only @ sk_ @ X0 )
<= ( ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) )
& ! [X9: $i] : ( h_false_only @ sk_ @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1237,zip_derived_cl189]) ).
thf(zip_derived_cl1193_155,plain,
( ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) )
<= ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf('111',plain,
( ~ ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) )
| ~ ! [X9: $i] : ( h_false_only @ sk_ @ X9 )
| ~ ! [X6: $i,X8: $i] :
( ~ ( g_true_only @ X6 @ X8 )
| ~ ( h_false_only @ X6 @ ( sk__13 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1243,zip_derived_cl1193]) ).
thf('112',plain,
( ( g_true_only @ sk_ @ ( sk__12 @ sk_ ) )
| ~ ( h_false_only @ sk_ @ ( sk__11 @ sk_ ) )
| ~ ( g_both @ sk_ @ sk__1 )
| ~ ! [X4: $i,X5: $i] :
( ~ ( h_false_only @ X4 @ ( sk__11 @ X4 ) )
| ( g_true_only @ X4 @ ( sk__12 @ X4 ) )
| ~ ( g_both @ X4 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf(zip_derived_cl2381,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2XDpStXPUx true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 02:48:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.30 % Solved by fo/fo1_av.sh.
% 1.27/1.30 % done 1672 iterations in 0.510s
% 1.27/1.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/1.30 % SZS output start Refutation
% See solution above
% 1.27/1.31
% 1.27/1.31
% 1.27/1.31 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.27/1.31 % Terminating...
% 1.84/1.41 % Runner terminated.
% 1.84/1.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------