TSTP Solution File: LCL640+1.005 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL640+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DXLe7bfiD6 true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:00:41 EDT 2023
% Result : Theorem 147.19s 21.82s
% Output : Refutation 148.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ( ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ( ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p1 @ Y ) )
| ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ( ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ( ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ( ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ( ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ( ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p1 @ Y ) )
| ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ( ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ( ~ ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ( ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl9,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_001,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_002,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_003,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ ( sk__10 @ X20 ) @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( r1 @ ( sk__10 @ X2 ) @ ( sk__12 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl44]) ).
thf(zip_derived_cl736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__12 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl315]) ).
thf(zip_derived_cl745,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl736]) ).
thf(zip_derived_cl9_005,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_006,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_007,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_008,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_009,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_010,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i,X26: $i,X27: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ( r1 @ X25 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ~ ( p1 @ X26 )
| ~ ( r1 @ X26 @ X27 )
| ( p1 @ X27 )
| ~ ( r1 @ ( sk__8 @ X20 ) @ X26 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ( r1 @ X2 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__8 @ X1 ) @ X3 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl56]) ).
thf(zip_derived_cl418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ X0 )
| ( r1 @ X1 @ ( sk__9 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__8 @ X0 ) @ X2 )
| ~ ( r1 @ sk__22 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl405]) ).
thf(zip_derived_cl422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ sk__23 )
| ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__8 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl418]) ).
thf(zip_derived_cl1543,plain,
! [X0: $i,X1: $i] :
( ( p1 @ sk__23 )
| ( r1 @ sk__26 @ ( sk__9 @ sk__26 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__8 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl422]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__26 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_011,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_012,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_013,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_014,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i,X26: $i,X27: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ~ ( p1 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ~ ( p1 @ X26 )
| ~ ( r1 @ X26 @ X27 )
| ( p1 @ X27 )
| ~ ( r1 @ ( sk__8 @ X20 ) @ X26 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( p1 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__8 @ X1 ) @ X3 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl55]) ).
thf(zip_derived_cl399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ X0 )
| ~ ( p1 @ ( sk__9 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__8 @ X0 ) @ X2 )
| ~ ( r1 @ sk__22 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl397]) ).
thf(zip_derived_cl403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__8 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl399]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] :
( ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__9 @ sk__26 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__8 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl403]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__26 @ ( sk__9 @ sk__26 ) )
| ( p1 @ sk__23 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__8 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl409]) ).
thf(zip_derived_cl1548,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__8 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ( p1 @ sk__23 ) ),
inference(clc,[status(thm)],[zip_derived_cl1543,zip_derived_cl412]) ).
thf(zip_derived_cl1550,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1548]) ).
thf(zip_derived_cl5_015,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_016,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_017,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_018,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_019,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__26 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ~ ( p1 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ( r1 @ X20 @ ( sk__8 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__26 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X3 )
| ~ ( r1 @ X3 @ X0 )
| ( r1 @ X3 @ ( sk__8 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ sk_ @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl59]) ).
thf(zip_derived_cl1325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__26 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__21 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X0 )
| ( r1 @ X2 @ ( sk__8 @ X2 ) )
| ~ ( r1 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl423]) ).
thf(zip_derived_cl1331,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__26 @ ( sk__9 @ X0 ) )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X1 @ ( sk__8 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1325]) ).
thf(zip_derived_cl1336,plain,
! [X0: $i] :
( ~ ( r1 @ sk__26 @ ( sk__9 @ X0 ) )
| ( p1 @ sk__23 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1331]) ).
thf(zip_derived_cl1348,plain,
( ~ ( r1 @ sk__26 @ ( sk__9 @ sk__26 ) )
| ( p1 @ sk__23 )
| ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1336]) ).
thf(zip_derived_cl5_020,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_021,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_022,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_023,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ( r1 @ X25 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ( r1 @ X20 @ ( sk__8 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ( r1 @ X2 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X1 @ ( sk__8 @ X1 ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl60]) ).
thf(zip_derived_cl429,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ( r1 @ X1 @ ( sk__9 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ( r1 @ X0 @ ( sk__8 @ X0 ) )
| ~ ( r1 @ sk__22 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl427]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( p1 @ sk__23 )
| ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl429]) ).
thf(zip_derived_cl444,plain,
( ( p1 @ sk__23 )
| ( r1 @ sk__26 @ ( sk__9 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl433]) ).
thf(zip_derived_cl1352,plain,
( ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 ) ),
inference(clc,[status(thm)],[zip_derived_cl1348,zip_derived_cl444]) ).
thf(zip_derived_cl1758,plain,
! [X0: $i] :
( ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__8 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1550,zip_derived_cl1352]) ).
thf(zip_derived_cl1760,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 )
| ~ ( r1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1758]) ).
thf(zip_derived_cl1761,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) @ X0 )
| ( p1 @ sk__23 )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1760]) ).
thf(zip_derived_cl1352_024,plain,
( ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 ) ),
inference(clc,[status(thm)],[zip_derived_cl1348,zip_derived_cl444]) ).
thf(zip_derived_cl1762,plain,
! [X0: $i] :
( ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 )
| ~ ( r1 @ ( sk__24 @ ( sk__8 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1761,zip_derived_cl1352]) ).
thf(zip_derived_cl1766,plain,
( ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 )
| ( p1 @ ( sk__25 @ ( sk__8 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1762]) ).
thf(zip_derived_cl1768,plain,
( ( p1 @ ( sk__25 @ ( sk__8 @ sk__23 ) ) )
| ( p1 @ sk__23 )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1766]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1769,plain,
( ~ ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 ) ),
inference(clc,[status(thm)],[zip_derived_cl1768,zip_derived_cl3]) ).
thf(zip_derived_cl1352_025,plain,
( ( r1 @ sk__23 @ ( sk__8 @ sk__23 ) )
| ( p1 @ sk__23 ) ),
inference(clc,[status(thm)],[zip_derived_cl1348,zip_derived_cl444]) ).
thf(zip_derived_cl1770,plain,
( ( p1 @ sk__23 )
| ( p1 @ ( sk__8 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1769,zip_derived_cl1352]) ).
thf(zip_derived_cl58,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ( r1 @ X25 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ~ ( p1 @ ( sk__8 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ sk__23 )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__23 )
| ( r1 @ X2 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1770,zip_derived_cl58]) ).
thf(zip_derived_cl1773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ X2 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1771]) ).
thf(zip_derived_cl1794,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ X1 @ ( sk__9 @ X1 ) )
| ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1773]) ).
thf(zip_derived_cl1803,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__21 @ sk__22 )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1794]) ).
thf(zip_derived_cl0_026,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1804,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ( p1 @ sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1803,zip_derived_cl0]) ).
thf(zip_derived_cl6_027,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__26 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_028,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1770_029,plain,
( ( p1 @ sk__23 )
| ( p1 @ ( sk__8 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1769,zip_derived_cl1352]) ).
thf(zip_derived_cl9_030,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_031,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_032,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X17: $i,X18: $i,X20: $i,X25: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X20 )
| ~ ( p1 @ ( sk__9 @ X25 ) )
| ~ ( r1 @ X20 @ X25 )
| ~ ( p1 @ ( sk__8 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( p1 @ ( sk__9 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ ( sk__8 @ X1 ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl57]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( p1 @ ( sk__9 @ X1 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ ( sk__8 @ X0 ) )
| ~ ( r1 @ sk__22 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl267]) ).
thf(zip_derived_cl276,plain,
! [X0: $i] :
( ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__8 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl269]) ).
thf(zip_derived_cl1772,plain,
! [X0: $i] :
( ( p1 @ sk__23 )
| ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1770,zip_derived_cl276]) ).
thf(zip_derived_cl1774,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__9 @ X0 ) )
| ( p1 @ sk__23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1772]) ).
thf(zip_derived_cl1780,plain,
( ~ ( p1 @ ( sk__9 @ sk__26 ) )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1774]) ).
thf(zip_derived_cl1785,plain,
( ~ ( r1 @ sk__26 @ ( sk__9 @ sk__26 ) )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1780]) ).
thf(zip_derived_cl2082,plain,
( ( p1 @ sk__23 )
| ~ ( r1 @ sk__23 @ sk__26 )
| ( p1 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1804,zip_derived_cl1785]) ).
thf(zip_derived_cl5_033,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2105,plain,
( ( p1 @ sk__23 )
| ( p1 @ sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2082,zip_derived_cl5]) ).
thf(zip_derived_cl2106,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2126,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl2106]) ).
thf(zip_derived_cl2704,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2126]) ).
thf(zip_derived_cl8,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2708,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2704,zip_derived_cl8]) ).
thf(zip_derived_cl2713,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl0_034,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_035,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_036,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_037,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_038,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_039,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_040,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_041,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_042,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_043,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ X20 @ ( sk__10 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( r1 @ X2 @ ( sk__10 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl52]) ).
thf(zip_derived_cl759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl372]) ).
thf(zip_derived_cl770,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl759]) ).
thf(zip_derived_cl2106_044,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2128,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl770,zip_derived_cl2106]) ).
thf(zip_derived_cl2756,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2128]) ).
thf(zip_derived_cl8_045,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2760,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2756,zip_derived_cl8]) ).
thf(zip_derived_cl7_046,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_047,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_048,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_049,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ X20 @ ( sk__10 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( r1 @ X2 @ ( sk__10 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl54]) ).
thf(zip_derived_cl772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl390]) ).
thf(zip_derived_cl782,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl772]) ).
thf(zip_derived_cl2106_050,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2129,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl782,zip_derived_cl2106]) ).
thf(zip_derived_cl2770,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2129]) ).
thf(zip_derived_cl8_051,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2774,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2770,zip_derived_cl8]) ).
thf(zip_derived_cl5_052,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_053,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_054,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_055,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
! [X17: $i,X18: $i,X20: $i,X28: $i,X29: $i,X30: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X20 @ X28 )
| ~ ( r1 @ X29 @ X30 )
| ( p1 @ X30 )
| ~ ( r1 @ X28 @ X29 )
| ( r1 @ X28 @ ( sk__7 @ X28 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ X1 @ X4 )
| ( r1 @ X1 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl62]) ).
thf(zip_derived_cl546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl454]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X2 )
| ( r1 @ X0 @ ( sk__7 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl546]) ).
thf(zip_derived_cl563,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__26 @ X1 )
| ( r1 @ sk__26 @ ( sk__7 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl557]) ).
thf(zip_derived_cl6_056,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__26 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_057,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_058,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_059,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_060,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
! [X17: $i,X18: $i,X20: $i,X28: $i,X29: $i,X30: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X20 @ X28 )
| ~ ( r1 @ X29 @ X30 )
| ( p1 @ X30 )
| ~ ( r1 @ X28 @ X29 )
| ~ ( p1 @ ( sk__7 @ X28 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( p1 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl61]) ).
thf(zip_derived_cl451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( p1 @ ( sk__7 @ X0 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl438]) ).
thf(zip_derived_cl460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( p1 @ ( sk__7 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl451]) ).
thf(zip_derived_cl465,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__26 @ X1 )
| ~ ( p1 @ ( sk__7 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl460]) ).
thf(zip_derived_cl477,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__26 @ ( sk__7 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__26 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl465]) ).
thf(zip_derived_cl570,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__26 @ X1 )
| ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl563,zip_derived_cl477]) ).
thf(zip_derived_cl3058,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ sk__26 )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2774,zip_derived_cl570]) ).
thf(zip_derived_cl5_061,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3074,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3058,zip_derived_cl5]) ).
thf(zip_derived_cl3090,plain,
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ sk__26 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2760,zip_derived_cl3074]) ).
thf(zip_derived_cl5_062,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3092,plain,
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3090,zip_derived_cl5]) ).
thf(zip_derived_cl3093,plain,
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3092]) ).
thf(zip_derived_cl53,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ~ ( p1 @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ X20 @ ( sk__10 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ sk__26 )
| ( r1 @ X3 @ ( sk__10 @ X3 ) )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3093,zip_derived_cl53]) ).
thf(zip_derived_cl4191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3095]) ).
thf(zip_derived_cl2106_063,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl4192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4191,zip_derived_cl2106]) ).
thf(zip_derived_cl4193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4192]) ).
thf(zip_derived_cl4201,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4193]) ).
thf(zip_derived_cl4203,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__21 @ sk__22 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl4201]) ).
thf(zip_derived_cl0_064,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4204,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X0 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4203,zip_derived_cl0]) ).
thf(zip_derived_cl4211,plain,
( ( p1 @ sk__27 )
| ( r1 @ sk__23 @ ( sk__10 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl4204]) ).
thf(zip_derived_cl8_065,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_066,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_067,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_068,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_069,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_070,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_071,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_072,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_073,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_074,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_075,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_076,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_077,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_078,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_079,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ ( sk__5 @ X32 ) @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( r1 @ ( sk__5 @ X1 ) @ ( sk__6 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl72]) ).
thf(zip_derived_cl838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ( r1 @ X2 @ ( sk__4 @ X2 ) )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl541]) ).
thf(zip_derived_cl850,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl838]) ).
thf(zip_derived_cl4254,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl850]) ).
thf(zip_derived_cl4216_080,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_081,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_082,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_083,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ X32 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl74]) ).
thf(zip_derived_cl865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ( r1 @ X2 @ ( sk__4 @ X2 ) )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl552]) ).
thf(zip_derived_cl877,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl865]) ).
thf(zip_derived_cl4255,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl877]) ).
thf(zip_derived_cl2713_084,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl5_085,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_086,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_087,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_088,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_089,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( p1 @ X22 )
| ~ ( r1 @ X22 @ X23 )
| ( p1 @ X24 )
| ~ ( r1 @ X23 @ X24 )
| ~ ( p1 @ X23 )
| ~ ( r1 @ ( sk__10 @ X20 ) @ X22 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X6 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ ( sk__10 @ X2 ) @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl28]) ).
thf(zip_derived_cl792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X5 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ ( sk__10 @ X1 ) @ X3 )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl193]) ).
thf(zip_derived_cl796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl792]) ).
thf(zip_derived_cl2106_090,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl3498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl796,zip_derived_cl2106]) ).
thf(zip_derived_cl3505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__27 )
| ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3498]) ).
thf(zip_derived_cl8_091,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3505,zip_derived_cl8]) ).
thf(zip_derived_cl3550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3509]) ).
thf(zip_derived_cl3906,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl3550]) ).
thf(zip_derived_cl3915,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3906]) ).
thf(zip_derived_cl4465,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4255,zip_derived_cl3915]) ).
thf(zip_derived_cl4733,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4465]) ).
thf(zip_derived_cl4216_092,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_093,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_094,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_095,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( p1 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( p1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl71]) ).
thf(zip_derived_cl808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ( r1 @ X2 @ ( sk__4 @ X2 ) )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl535]) ).
thf(zip_derived_cl823,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl808]) ).
thf(zip_derived_cl4253,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl823]) ).
thf(zip_derived_cl9067,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4733,zip_derived_cl4253]) ).
thf(zip_derived_cl2713_096,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl9068,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9067,zip_derived_cl2713]) ).
thf(zip_derived_cl9075,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4254,zip_derived_cl9068]) ).
thf(zip_derived_cl9081,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9075]) ).
thf(zip_derived_cl2713_097,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl9082,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9081,zip_derived_cl2713]) ).
thf(zip_derived_cl73,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ~ ( p1 @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9082,zip_derived_cl73]) ).
thf(zip_derived_cl9093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ X3 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9083]) ).
thf(zip_derived_cl9106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__21 @ X1 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9093]) ).
thf(zip_derived_cl9112,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__22 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl9106]) ).
thf(zip_derived_cl9122,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl9112]) ).
thf(zip_derived_cl9125,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9122]) ).
thf(zip_derived_cl9133,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl9125]) ).
thf(zip_derived_cl2713_098,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl9145,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl9_099,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_100,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_101,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_102,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_103,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl0_104,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_105,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_106,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl5_107,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_108,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_109,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_110,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_111,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_112,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_113,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_114,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_115,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_116,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_117,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4254_118,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl850]) ).
thf(zip_derived_cl4255_119,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl877]) ).
thf(zip_derived_cl5_120,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_121,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_122,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_123,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_124,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ ( sk__10 @ X20 ) @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( r1 @ ( sk__10 @ X2 ) @ ( sk__12 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl46]) ).
thf(zip_derived_cl747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__12 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl329]) ).
thf(zip_derived_cl757,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl747]) ).
thf(zip_derived_cl2106_125,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2127,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl2106]) ).
thf(zip_derived_cl2723,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2127]) ).
thf(zip_derived_cl8_126,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2727,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2723,zip_derived_cl8]) ).
thf(zip_derived_cl2732,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl5_127,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_128,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_129,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_130,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_131,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( p1 @ X22 )
| ~ ( r1 @ X22 @ X23 )
| ( p1 @ X24 )
| ~ ( r1 @ X23 @ X24 )
| ~ ( p1 @ X23 )
| ~ ( r1 @ ( sk__10 @ X20 ) @ X22 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X6 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ ( sk__10 @ X2 ) @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl30]) ).
thf(zip_derived_cl819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X5 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ ( sk__10 @ X1 ) @ X3 )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl205]) ).
thf(zip_derived_cl827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl819]) ).
thf(zip_derived_cl2106_132,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl3554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl2106]) ).
thf(zip_derived_cl3561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__27 )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3554]) ).
thf(zip_derived_cl8_133,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3561,zip_derived_cl8]) ).
thf(zip_derived_cl3593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3565]) ).
thf(zip_derived_cl3615,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2732,zip_derived_cl3593]) ).
thf(zip_derived_cl3623,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3615]) ).
thf(zip_derived_cl4463,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4255,zip_derived_cl3623]) ).
thf(zip_derived_cl4731,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4463]) ).
thf(zip_derived_cl4253_134,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl823]) ).
thf(zip_derived_cl7033,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4731,zip_derived_cl4253]) ).
thf(zip_derived_cl2732_135,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl7034,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7033,zip_derived_cl2732]) ).
thf(zip_derived_cl7041,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4254,zip_derived_cl7034]) ).
thf(zip_derived_cl7047,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7041]) ).
thf(zip_derived_cl2732_136,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl7048,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7047,zip_derived_cl2732]) ).
thf(zip_derived_cl73_137,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ~ ( p1 @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7048,zip_derived_cl73]) ).
thf(zip_derived_cl7057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ X3 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7049]) ).
thf(zip_derived_cl7083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__21 @ X1 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl7057]) ).
thf(zip_derived_cl7089,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__22 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7083]) ).
thf(zip_derived_cl7114,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7089]) ).
thf(zip_derived_cl7117,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7114]) ).
thf(zip_derived_cl7123,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl7117]) ).
thf(zip_derived_cl2732_138,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl7135,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7123,zip_derived_cl2732]) ).
thf(zip_derived_cl50,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7135,zip_derived_cl50]) ).
thf(zip_derived_cl2106_139,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl7141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7137,zip_derived_cl2106]) ).
thf(zip_derived_cl7581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__27 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl7141]) ).
thf(zip_derived_cl8_140,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7581,zip_derived_cl8]) ).
thf(zip_derived_cl7598,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7589]) ).
thf(zip_derived_cl7605,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7598]) ).
thf(zip_derived_cl7612,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl7605]) ).
thf(zip_derived_cl7615,plain,
( ~ ( r1 @ sk__21 @ sk__22 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7612]) ).
thf(zip_derived_cl0_141,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7616,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl2_142,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_143,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_144,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_145,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_146,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2732_147,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl4216_148,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_149,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_150,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_151,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ ( sk__5 @ X32 ) @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ X33 )
| ~ ( r1 @ X33 @ X34 )
| ( p1 @ X34 )
| ~ ( r1 @ ( sk__4 @ X20 ) @ X33 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( r1 @ ( sk__5 @ X1 ) @ ( sk__6 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X5 )
| ~ ( r1 @ ( sk__4 @ X3 ) @ X4 )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl64]) ).
thf(zip_derived_cl1193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__4 @ X2 ) @ X3 )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl482]) ).
thf(zip_derived_cl1205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1193]) ).
thf(zip_derived_cl4257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1205]) ).
thf(zip_derived_cl4850,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2732,zip_derived_cl4257]) ).
thf(zip_derived_cl6939,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4850]) ).
thf(zip_derived_cl7616_152,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16630,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6939,zip_derived_cl7616]) ).
thf(zip_derived_cl16632,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl16630]) ).
thf(zip_derived_cl16633,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16632]) ).
thf(zip_derived_cl7616_153,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16636,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16633,zip_derived_cl7616]) ).
thf(zip_derived_cl16642,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16636]) ).
thf(zip_derived_cl16645,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16642]) ).
thf(zip_derived_cl3_154,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16646,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16645,zip_derived_cl3]) ).
thf(zip_derived_cl7616_155,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16647,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16646,zip_derived_cl7616]) ).
thf(zip_derived_cl2_156,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_157,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_158,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2732_159,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl4216_160,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_161,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_162,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_163,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ X32 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ X33 )
| ~ ( r1 @ X33 @ X34 )
| ( p1 @ X34 )
| ~ ( r1 @ ( sk__4 @ X20 ) @ X33 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X5 )
| ~ ( r1 @ ( sk__4 @ X3 ) @ X4 )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl66]) ).
thf(zip_derived_cl1251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__4 @ X2 ) @ X3 )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl502]) ).
thf(zip_derived_cl1270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1251]) ).
thf(zip_derived_cl4258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1270]) ).
thf(zip_derived_cl4867,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2732,zip_derived_cl4258]) ).
thf(zip_derived_cl6658,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4867]) ).
thf(zip_derived_cl7616_164,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16075,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6658,zip_derived_cl7616]) ).
thf(zip_derived_cl16077,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl16075]) ).
thf(zip_derived_cl16078,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16077]) ).
thf(zip_derived_cl7616_165,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16129,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16078,zip_derived_cl7616]) ).
thf(zip_derived_cl16135,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16129]) ).
thf(zip_derived_cl16138,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16135]) ).
thf(zip_derived_cl3_166,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16139,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16138,zip_derived_cl3]) ).
thf(zip_derived_cl7616_167,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16140,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16139,zip_derived_cl7616]) ).
thf(zip_derived_cl3623_168,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3615]) ).
thf(zip_derived_cl16141,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16140,zip_derived_cl3623]) ).
thf(zip_derived_cl16161,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16141]) ).
thf(zip_derived_cl2_169,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_170,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_171,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2732_172,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl4216_173,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_174,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_175,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_176,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( p1 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ X33 )
| ~ ( r1 @ X33 @ X34 )
| ( p1 @ X34 )
| ~ ( r1 @ ( sk__4 @ X20 ) @ X33 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( p1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X5 )
| ~ ( r1 @ ( sk__4 @ X3 ) @ X4 )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl63]) ).
thf(zip_derived_cl1107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__4 @ X2 ) @ X3 )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl475]) ).
thf(zip_derived_cl1116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1107]) ).
thf(zip_derived_cl4256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1116]) ).
thf(zip_derived_cl4836,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2732,zip_derived_cl4256]) ).
thf(zip_derived_cl5252,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4836]) ).
thf(zip_derived_cl7616_177,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl9926,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5252,zip_derived_cl7616]) ).
thf(zip_derived_cl9928,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9926]) ).
thf(zip_derived_cl9929,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9928]) ).
thf(zip_derived_cl7616_178,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl9930,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9929,zip_derived_cl7616]) ).
thf(zip_derived_cl9938,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl9930]) ).
thf(zip_derived_cl9943,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9938]) ).
thf(zip_derived_cl3_179,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9965,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9943,zip_derived_cl3]) ).
thf(zip_derived_cl7616_180,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl9966,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9965,zip_derived_cl7616]) ).
thf(zip_derived_cl16173,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl16161,zip_derived_cl9966]) ).
thf(zip_derived_cl16648,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16647,zip_derived_cl16173]) ).
thf(zip_derived_cl16651,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16648]) ).
thf(zip_derived_cl4216_181,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_182,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_183,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_184,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ~ ( p1 @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ X33 )
| ~ ( r1 @ X33 @ X34 )
| ( p1 @ X34 )
| ~ ( r1 @ ( sk__4 @ X20 ) @ X33 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( p1 @ ( sk__6 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X5 )
| ~ ( r1 @ ( sk__4 @ X3 ) @ X4 )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl65]) ).
thf(zip_derived_cl592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X4 )
| ~ ( r1 @ ( sk__4 @ X2 ) @ X3 )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl493]) ).
thf(zip_derived_cl612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl592]) ).
thf(zip_derived_cl4252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl612]) ).
thf(zip_derived_cl16659,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16651,zip_derived_cl4252]) ).
thf(zip_derived_cl16667,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16659]) ).
thf(zip_derived_cl2732_185,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl16702,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl16667,zip_derived_cl2732]) ).
thf(zip_derived_cl16705,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl16702]) ).
thf(zip_derived_cl16712,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16705]) ).
thf(zip_derived_cl1_186,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16723,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl16712,zip_derived_cl1]) ).
thf(zip_derived_cl7616_187,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16724,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16723,zip_derived_cl7616]) ).
thf(zip_derived_cl16730,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16724]) ).
thf(zip_derived_cl16733,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16730]) ).
thf(zip_derived_cl3_188,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16734,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16733,zip_derived_cl3]) ).
thf(zip_derived_cl7616_189,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7615,zip_derived_cl0]) ).
thf(zip_derived_cl16735,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16734,zip_derived_cl7616]) ).
thf(zip_derived_cl50_190,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16735,zip_derived_cl50]) ).
thf(zip_derived_cl2106_191,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl16741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl16737,zip_derived_cl2106]) ).
thf(zip_derived_cl16891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7616,zip_derived_cl16741]) ).
thf(zip_derived_cl16901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16891]) ).
thf(zip_derived_cl16913,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ X1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl16901]) ).
thf(zip_derived_cl16914,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__21 @ sk__22 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl16913]) ).
thf(zip_derived_cl0_192,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16915,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16914,zip_derived_cl0]) ).
thf(zip_derived_cl16924,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16915]) ).
thf(zip_derived_cl16930,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16924]) ).
thf(zip_derived_cl68,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ ( sk__5 @ X32 ) @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16930,zip_derived_cl68]) ).
thf(zip_derived_cl17120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl16931]) ).
thf(zip_derived_cl17198,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ ( sk__5 @ X1 ) @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl17120]) ).
thf(zip_derived_cl17941,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl17198]) ).
thf(zip_derived_cl10_193,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17942,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17941,zip_derived_cl10]) ).
thf(zip_derived_cl0_194,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_195,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_196,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl16930_197,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16924]) ).
thf(zip_derived_cl70,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ X32 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16930,zip_derived_cl70]) ).
thf(zip_derived_cl17207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl16932]) ).
thf(zip_derived_cl17987,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl17207]) ).
thf(zip_derived_cl17988,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl17987]) ).
thf(zip_derived_cl10_198,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17989,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17988,zip_derived_cl10]) ).
thf(zip_derived_cl3623_199,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3615]) ).
thf(zip_derived_cl18210,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17989,zip_derived_cl3623]) ).
thf(zip_derived_cl18587,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl18210]) ).
thf(zip_derived_cl4216_200,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl16930_201,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16924]) ).
thf(zip_derived_cl9_202,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_203,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_204,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( p1 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ( p1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl67]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ ( sk__4 @ X2 ) )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl505]) ).
thf(zip_derived_cl518,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl513]) ).
thf(zip_derived_cl16933,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16930,zip_derived_cl518]) ).
thf(zip_derived_cl16980,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl16933]) ).
thf(zip_derived_cl18739,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl18587,zip_derived_cl16980]) ).
thf(zip_derived_cl2732_205,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl18740,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18739,zip_derived_cl2732]) ).
thf(zip_derived_cl18751,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17942,zip_derived_cl18740]) ).
thf(zip_derived_cl18759,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl18751]) ).
thf(zip_derived_cl2732_206,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl18765,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18759,zip_derived_cl2732]) ).
thf(zip_derived_cl16930_207,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16924]) ).
thf(zip_derived_cl9_208,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_209,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_210,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ~ ( p1 @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( p1 @ ( sk__6 @ X1 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl69]) ).
thf(zip_derived_cl527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ ( sk__4 @ X2 ) )
| ~ ( r1 @ sk__22 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl520]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl527]) ).
thf(zip_derived_cl16934,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16930,zip_derived_cl532]) ).
thf(zip_derived_cl18774,plain,
! [X0: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18765,zip_derived_cl16934]) ).
thf(zip_derived_cl18783,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl18774]) ).
thf(zip_derived_cl18791,plain,
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl18783]) ).
thf(zip_derived_cl2732_211,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2727]) ).
thf(zip_derived_cl18818,plain,
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18791,zip_derived_cl2732]) ).
thf(zip_derived_cl50_212,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ X21 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18818,zip_derived_cl50]) ).
thf(zip_derived_cl2106_213,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl18824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ X3 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl18820,zip_derived_cl2106]) ).
thf(zip_derived_cl19019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__27 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl18824]) ).
thf(zip_derived_cl8_214,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X2 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl19019,zip_derived_cl8]) ).
thf(zip_derived_cl19041,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl19030]) ).
thf(zip_derived_cl19051,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl19041]) ).
thf(zip_derived_cl19058,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl19051]) ).
thf(zip_derived_cl19061,plain,
( ~ ( r1 @ sk__21 @ sk__22 )
| ( r1 @ sk__26 @ ( sk__13 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl19058]) ).
thf(zip_derived_cl0_215,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19062,plain,
r1 @ sk__26 @ ( sk__13 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl19061,zip_derived_cl0]) ).
thf(zip_derived_cl570_216,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__26 @ X1 )
| ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl563,zip_derived_cl477]) ).
thf(zip_derived_cl19063,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl19069,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9145,zip_derived_cl19063]) ).
thf(zip_derived_cl48,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19069,zip_derived_cl48]) ).
thf(zip_derived_cl2106_217,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl19079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl19075,zip_derived_cl2106]) ).
thf(zip_derived_cl19216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__27 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl19079]) ).
thf(zip_derived_cl8_218,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl19216,zip_derived_cl8]) ).
thf(zip_derived_cl19234,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl19224]) ).
thf(zip_derived_cl19063_219,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl19241,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19234,zip_derived_cl19063]) ).
thf(zip_derived_cl19245,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__21 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl19241]) ).
thf(zip_derived_cl19248,plain,
( ~ ( r1 @ sk__21 @ sk__22 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl19245]) ).
thf(zip_derived_cl0_220,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19249,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19248,zip_derived_cl0]) ).
thf(zip_derived_cl2_221,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_222,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_223,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_224,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_225,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2713_226,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl4257_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1205]) ).
thf(zip_derived_cl4848,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl4257]) ).
thf(zip_derived_cl8882,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4848]) ).
thf(zip_derived_cl9145_228,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl23818,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8882,zip_derived_cl9145]) ).
thf(zip_derived_cl23820,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl23818]) ).
thf(zip_derived_cl23821,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23820]) ).
thf(zip_derived_cl9145_229,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl23968,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23821,zip_derived_cl9145]) ).
thf(zip_derived_cl23973,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl23968]) ).
thf(zip_derived_cl23975,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23973]) ).
thf(zip_derived_cl3_230,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23976,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23975,zip_derived_cl3]) ).
thf(zip_derived_cl9145_231,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl23977,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23976,zip_derived_cl9145]) ).
thf(zip_derived_cl2_232,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_233,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_234,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2713_235,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl4258_236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1270]) ).
thf(zip_derived_cl4865,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl4258]) ).
thf(zip_derived_cl6961,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4865]) ).
thf(zip_derived_cl9145_237,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl16783,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6961,zip_derived_cl9145]) ).
thf(zip_derived_cl16785,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl16783]) ).
thf(zip_derived_cl16786,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16785]) ).
thf(zip_derived_cl9145_238,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl23417,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16786,zip_derived_cl9145]) ).
thf(zip_derived_cl23422,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl23417]) ).
thf(zip_derived_cl23424,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23422]) ).
thf(zip_derived_cl3_239,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23425,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23424,zip_derived_cl3]) ).
thf(zip_derived_cl9145_240,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl23426,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl23425,zip_derived_cl9145]) ).
thf(zip_derived_cl3915_241,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3906]) ).
thf(zip_derived_cl23427,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23426,zip_derived_cl3915]) ).
thf(zip_derived_cl23443,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23427]) ).
thf(zip_derived_cl2_242,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_243,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_244,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2713_245,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl4256_246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1116]) ).
thf(zip_derived_cl4834,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl4256]) ).
thf(zip_derived_cl5615,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl4834]) ).
thf(zip_derived_cl9145_247,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl10428,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5615,zip_derived_cl9145]) ).
thf(zip_derived_cl10430,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl10428]) ).
thf(zip_derived_cl10431,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10430]) ).
thf(zip_derived_cl9145_248,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl10432,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10431,zip_derived_cl9145]) ).
thf(zip_derived_cl10440,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl10432]) ).
thf(zip_derived_cl10445,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10440]) ).
thf(zip_derived_cl3_249,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10451,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10445,zip_derived_cl3]) ).
thf(zip_derived_cl9145_250,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl10452,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10451,zip_derived_cl9145]) ).
thf(zip_derived_cl23450,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl23443,zip_derived_cl10452]) ).
thf(zip_derived_cl23978,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23977,zip_derived_cl23450]) ).
thf(zip_derived_cl23981,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23978]) ).
thf(zip_derived_cl4252_251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl612]) ).
thf(zip_derived_cl23989,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23981,zip_derived_cl4252]) ).
thf(zip_derived_cl23996,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23989]) ).
thf(zip_derived_cl2713_252,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl24030,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl23996,zip_derived_cl2713]) ).
thf(zip_derived_cl24033,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl24030]) ).
thf(zip_derived_cl24041,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24033]) ).
thf(zip_derived_cl1_253,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24043,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl24041,zip_derived_cl1]) ).
thf(zip_derived_cl9145_254,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl24044,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24043,zip_derived_cl9145]) ).
thf(zip_derived_cl24049,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl24044]) ).
thf(zip_derived_cl24051,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24049]) ).
thf(zip_derived_cl3_255,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24052,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24051,zip_derived_cl3]) ).
thf(zip_derived_cl9145_256,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9133,zip_derived_cl2713]) ).
thf(zip_derived_cl24053,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl24052,zip_derived_cl9145]) ).
thf(zip_derived_cl19063_257,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl24054,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24053,zip_derived_cl19063]) ).
thf(zip_derived_cl48_258,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24054,zip_derived_cl48]) ).
thf(zip_derived_cl2106_259,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl24062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24058,zip_derived_cl2106]) ).
thf(zip_derived_cl24139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19249,zip_derived_cl24062]) ).
thf(zip_derived_cl24148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24139]) ).
thf(zip_derived_cl24158,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__13 @ X1 ) @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl24148]) ).
thf(zip_derived_cl24159,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__21 @ sk__22 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl24158]) ).
thf(zip_derived_cl0_260,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24160,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24159,zip_derived_cl0]) ).
thf(zip_derived_cl19063_261,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl24180,plain,
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ sk__26 )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24160,zip_derived_cl19063]) ).
thf(zip_derived_cl5_262,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24195,plain,
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24180,zip_derived_cl5]) ).
thf(zip_derived_cl24196,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24195]) ).
thf(zip_derived_cl68_263,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ ( sk__5 @ X32 ) @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24196,zip_derived_cl68]) ).
thf(zip_derived_cl24340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl24199]) ).
thf(zip_derived_cl25984,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ ( sk__5 @ X1 ) @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl24340]) ).
thf(zip_derived_cl25995,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl25984]) ).
thf(zip_derived_cl10_264,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25996,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25995,zip_derived_cl10]) ).
thf(zip_derived_cl2713_265,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2708]) ).
thf(zip_derived_cl0_266,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_267,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_268,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl24196_269,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24195]) ).
thf(zip_derived_cl70_270,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ X32 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24196,zip_derived_cl70]) ).
thf(zip_derived_cl24458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl24200]) ).
thf(zip_derived_cl24486,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl24458]) ).
thf(zip_derived_cl25229,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl24486]) ).
thf(zip_derived_cl10_271,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25230,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25229,zip_derived_cl10]) ).
thf(zip_derived_cl19249_272,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19248,zip_derived_cl0]) ).
thf(zip_derived_cl7_273,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_274,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_275,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_276,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( p1 @ ( sk__13 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ ( sk__10 @ X20 ) @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ( p1 @ ( sk__13 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( r1 @ ( sk__10 @ X2 ) @ ( sk__12 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl43]) ).
thf(zip_derived_cl309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ( p1 @ ( sk__13 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__12 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl307]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ( p1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl309]) ).
thf(zip_derived_cl2106_277,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ ( sk__13 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl2106]) ).
thf(zip_derived_cl2667,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ( p1 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2120]) ).
thf(zip_derived_cl8_278,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2671,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2667,zip_derived_cl8]) ).
thf(zip_derived_cl19264,plain,
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__13 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19249,zip_derived_cl2671]) ).
thf(zip_derived_cl3550_279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3509]) ).
thf(zip_derived_cl19303,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__13 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19264,zip_derived_cl3550]) ).
thf(zip_derived_cl3915_280,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3906]) ).
thf(zip_derived_cl20086,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl19303,zip_derived_cl3915]) ).
thf(zip_derived_cl19063_281,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl20087,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl20086,zip_derived_cl19063]) ).
thf(zip_derived_cl25463,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25230,zip_derived_cl20087]) ).
thf(zip_derived_cl25850,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl25463]) ).
thf(zip_derived_cl4216_282,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl24196_283,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24195]) ).
thf(zip_derived_cl518_284,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl513]) ).
thf(zip_derived_cl24201,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24196,zip_derived_cl518]) ).
thf(zip_derived_cl24244,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl24201]) ).
thf(zip_derived_cl26083,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl25850,zip_derived_cl24244]) ).
thf(zip_derived_cl26084,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl26083]) ).
thf(zip_derived_cl19063_285,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl26135,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26084,zip_derived_cl19063]) ).
thf(zip_derived_cl26146,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25996,zip_derived_cl26135]) ).
thf(zip_derived_cl26155,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26146]) ).
thf(zip_derived_cl4216_286,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl24196_287,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl24195]) ).
thf(zip_derived_cl532_288,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl527]) ).
thf(zip_derived_cl24202,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24196,zip_derived_cl532]) ).
thf(zip_derived_cl24214,plain,
! [X0: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl24202]) ).
thf(zip_derived_cl26158,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26155,zip_derived_cl24214]) ).
thf(zip_derived_cl26159,plain,
( ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2713,zip_derived_cl26158]) ).
thf(zip_derived_cl19063_289,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl26166,plain,
( ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26159,zip_derived_cl19063]) ).
thf(zip_derived_cl48_290,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ( r1 @ ( sk__13 @ X21 ) @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26166,zip_derived_cl48]) ).
thf(zip_derived_cl2106_291,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl26171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ ( sk__13 @ X3 ) @ ( sk__14 @ X3 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl26167,zip_derived_cl2106]) ).
thf(zip_derived_cl26287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__27 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl26171]) ).
thf(zip_derived_cl8_292,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ ( sk__13 @ X2 ) @ ( sk__14 @ X2 ) )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl26287,zip_derived_cl8]) ).
thf(zip_derived_cl26308,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ ( sk__13 @ sk__26 ) @ ( sk__14 @ sk__26 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl26298]) ).
thf(zip_derived_cl19063_293,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ sk__26 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19062,zip_derived_cl570]) ).
thf(zip_derived_cl26320,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26308,zip_derived_cl19063]) ).
thf(zip_derived_cl26326,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl26320]) ).
thf(zip_derived_cl26329,plain,
( ~ ( r1 @ sk__21 @ sk__22 )
| ( p1 @ ( sk__14 @ sk__26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl26326]) ).
thf(zip_derived_cl0_294,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26330,plain,
p1 @ ( sk__14 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl26329,zip_derived_cl0]) ).
thf(zip_derived_cl7_295,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_296,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_297,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_298,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ~ ( p1 @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ~ ( p1 @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( p1 @ ( sk__14 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ ( sk__12 @ X2 ) )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl49]) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( p1 @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ ( sk__12 @ X1 ) )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl348]) ).
thf(zip_derived_cl354,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl350]) ).
thf(zip_derived_cl2106_299,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2123,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl2106]) ).
thf(zip_derived_cl0_300,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_301,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_302,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl5_303,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26330_304,plain,
p1 @ ( sk__14 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl26329,zip_derived_cl0]) ).
thf(zip_derived_cl7_305,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_306,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl9_307,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_308,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_309,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4254_310,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl850]) ).
thf(zip_derived_cl4253_311,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl823]) ).
thf(zip_derived_cl4255_312,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl877]) ).
thf(zip_derived_cl0_313,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_314,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_315,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_316,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26330_317,plain,
p1 @ ( sk__14 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl26329,zip_derived_cl0]) ).
thf(zip_derived_cl45,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ~ ( p1 @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( r1 @ ( sk__10 @ X20 ) @ ( sk__12 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ X3 @ sk__26 )
| ( r1 @ ( sk__10 @ X3 ) @ ( sk__12 @ X3 ) )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26330,zip_derived_cl45]) ).
thf(zip_derived_cl26392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ~ ( p1 @ sk__23 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl26334]) ).
thf(zip_derived_cl2106_318,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl26393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X2 )
| ~ ( r1 @ sk__23 @ X2 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl26392,zip_derived_cl2106]) ).
thf(zip_derived_cl26412,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ sk__27 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl26393]) ).
thf(zip_derived_cl8_319,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26418,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl26412,zip_derived_cl8]) ).
thf(zip_derived_cl26423,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ sk__22 )
| ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl26418]) ).
thf(zip_derived_cl26424,plain,
( ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl26423]) ).
thf(zip_derived_cl10_320,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26425,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl5_321,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_322,plain,
r1 @ sk__23 @ sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_323,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_324,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_325,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ~ ( r1 @ X17 @ X18 )
| ( p1 @ X19 )
| ~ ( r1 @ X20 @ X19 )
| ~ ( p1 @ X20 )
| ~ ( p1 @ ( sk__14 @ X21 ) )
| ~ ( r1 @ X20 @ X21 )
| ( p1 @ X22 )
| ~ ( r1 @ X22 @ X23 )
| ( p1 @ X24 )
| ~ ( r1 @ X23 @ X24 )
| ~ ( p1 @ X23 )
| ~ ( r1 @ ( sk__10 @ X20 ) @ X22 )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ sk__21 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( p1 @ ( sk__14 @ X3 ) )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X4 @ X5 )
| ( p1 @ X6 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ ( sk__10 @ X2 ) @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl29]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( p1 @ ( sk__14 @ X2 ) )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X3 @ X4 )
| ( p1 @ X5 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( p1 @ X4 )
| ~ ( r1 @ ( sk__10 @ X1 ) @ X3 )
| ~ ( r1 @ sk__22 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl199]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ sk__23 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl203]) ).
thf(zip_derived_cl2106_326,plain,
p1 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl2105]) ).
thf(zip_derived_cl2115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl2106]) ).
thf(zip_derived_cl2281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__27 )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2115]) ).
thf(zip_derived_cl8_327,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2281,zip_derived_cl8]) ).
thf(zip_derived_cl2301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2285]) ).
thf(zip_derived_cl26330_328,plain,
p1 @ ( sk__14 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl26329,zip_derived_cl0]) ).
thf(zip_derived_cl26332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2301,zip_derived_cl26330]) ).
thf(zip_derived_cl26431,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl26332]) ).
thf(zip_derived_cl26458,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4255,zip_derived_cl26431]) ).
thf(zip_derived_cl26425_329,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl26464,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26458,zip_derived_cl26425]) ).
thf(zip_derived_cl26465,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26464]) ).
thf(zip_derived_cl26506,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4253,zip_derived_cl26465]) ).
thf(zip_derived_cl26425_330,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl26509,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26506,zip_derived_cl26425]) ).
thf(zip_derived_cl26510,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26509]) ).
thf(zip_derived_cl26520,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4254,zip_derived_cl26510]) ).
thf(zip_derived_cl26425_331,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl26526,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26520,zip_derived_cl26425]) ).
thf(zip_derived_cl26527,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26526]) ).
thf(zip_derived_cl73_332,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ~ ( p1 @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ( r1 @ X20 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X3 @ X2 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26527,zip_derived_cl73]) ).
thf(zip_derived_cl26534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ~ ( r1 @ X0 @ X3 )
| ( r1 @ X3 @ ( sk__4 @ X3 ) )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26528]) ).
thf(zip_derived_cl26557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ X2 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__21 @ X1 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl26534]) ).
thf(zip_derived_cl26563,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__22 @ X0 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl26557]) ).
thf(zip_derived_cl26579,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl26563]) ).
thf(zip_derived_cl26582,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ X0 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ X0 )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26579]) ).
thf(zip_derived_cl26586,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl26582]) ).
thf(zip_derived_cl26425_333,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl26596,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26586,zip_derived_cl26425]) ).
thf(zip_derived_cl2123_334,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl2106]) ).
thf(zip_derived_cl26602,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26596,zip_derived_cl2123]) ).
thf(zip_derived_cl26612,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ sk__27 )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl26602]) ).
thf(zip_derived_cl8_335,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26620,plain,
! [X0: $i] :
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26612,zip_derived_cl8]) ).
thf(zip_derived_cl26626,plain,
( ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ sk__23 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26330,zip_derived_cl26620]) ).
thf(zip_derived_cl5_336,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26627,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl2_337,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_338,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_339,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_340,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_341,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_342,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26425_343,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl4257_344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1205]) ).
thf(zip_derived_cl26429,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl4257]) ).
thf(zip_derived_cl26832,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26429]) ).
thf(zip_derived_cl26627_345,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26834,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26832,zip_derived_cl26627]) ).
thf(zip_derived_cl26987,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl26834]) ).
thf(zip_derived_cl26627_346,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26988,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26987,zip_derived_cl26627]) ).
thf(zip_derived_cl26989,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26988]) ).
thf(zip_derived_cl26996,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl26989]) ).
thf(zip_derived_cl26627_347,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26998,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26996,zip_derived_cl26627]) ).
thf(zip_derived_cl26999,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26998]) ).
thf(zip_derived_cl26627_348,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl3_349,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26636,plain,
( ~ ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26627,zip_derived_cl3]) ).
thf(zip_derived_cl27000,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26999,zip_derived_cl26636]) ).
thf(zip_derived_cl2_350,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_351,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_352,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26425_353,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl4258_354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1270]) ).
thf(zip_derived_cl26430,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl4258]) ).
thf(zip_derived_cl26572,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26430]) ).
thf(zip_derived_cl26627_355,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27217,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26572,zip_derived_cl26627]) ).
thf(zip_derived_cl27219,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl27217]) ).
thf(zip_derived_cl26627_356,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27220,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27219,zip_derived_cl26627]) ).
thf(zip_derived_cl27221,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27220]) ).
thf(zip_derived_cl27224,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl27221]) ).
thf(zip_derived_cl26627_357,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27226,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27224,zip_derived_cl26627]) ).
thf(zip_derived_cl27227,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27226]) ).
thf(zip_derived_cl26636_358,plain,
( ~ ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26627,zip_derived_cl3]) ).
thf(zip_derived_cl27230,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( r1 @ ( sk__12 @ sk__23 ) @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27227,zip_derived_cl26636]) ).
thf(zip_derived_cl26431_359,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl26332]) ).
thf(zip_derived_cl27232,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27230,zip_derived_cl26431]) ).
thf(zip_derived_cl27235,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27232]) ).
thf(zip_derived_cl2_360,plain,
! [X0: $i] :
( ( r1 @ ( sk__24 @ X0 ) @ ( sk__25 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_361,plain,
! [X0: $i] :
( ( p1 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_362,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__24 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26425_363,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl4256_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl1116]) ).
thf(zip_derived_cl26428,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl4256]) ).
thf(zip_derived_cl26503,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26428]) ).
thf(zip_derived_cl26627_365,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26946,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26503,zip_derived_cl26627]) ).
thf(zip_derived_cl26948,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl26946]) ).
thf(zip_derived_cl26627_366,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26949,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl26948,zip_derived_cl26627]) ).
thf(zip_derived_cl26950,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26949]) ).
thf(zip_derived_cl26954,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl26950]) ).
thf(zip_derived_cl26627_367,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl26956,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26954,zip_derived_cl26627]) ).
thf(zip_derived_cl26957,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26956]) ).
thf(zip_derived_cl26636_368,plain,
( ~ ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26627,zip_derived_cl3]) ).
thf(zip_derived_cl26958,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl26957,zip_derived_cl26636]) ).
thf(zip_derived_cl27236,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl27235,zip_derived_cl26958]) ).
thf(zip_derived_cl27238,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27000,zip_derived_cl27236]) ).
thf(zip_derived_cl27239,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27238]) ).
thf(zip_derived_cl4252_369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl612]) ).
thf(zip_derived_cl27245,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27239,zip_derived_cl4252]) ).
thf(zip_derived_cl26425_370,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl27252,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27245,zip_derived_cl26425]) ).
thf(zip_derived_cl27253,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__4 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27252]) ).
thf(zip_derived_cl27259,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl27253]) ).
thf(zip_derived_cl26627_371,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27263,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27259,zip_derived_cl26627]) ).
thf(zip_derived_cl27264,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( p1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27263]) ).
thf(zip_derived_cl27267,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl27264]) ).
thf(zip_derived_cl26627_372,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27268,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27267,zip_derived_cl26627]) ).
thf(zip_derived_cl27269,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__24 @ ( sk__4 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27268]) ).
thf(zip_derived_cl27272,plain,
( ~ ( r1 @ sk__23 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl27269]) ).
thf(zip_derived_cl26627_373,plain,
r1 @ sk__23 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26626,zip_derived_cl5]) ).
thf(zip_derived_cl27274,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27272,zip_derived_cl26627]) ).
thf(zip_derived_cl27275,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27274]) ).
thf(zip_derived_cl26636_374,plain,
( ~ ( p1 @ ( sk__25 @ ( sk__4 @ sk__23 ) ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26627,zip_derived_cl3]) ).
thf(zip_derived_cl27276,plain,
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl27275,zip_derived_cl26636]) ).
thf(zip_derived_cl2123_375,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl2106]) ).
thf(zip_derived_cl27280,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27276,zip_derived_cl2123]) ).
thf(zip_derived_cl27286,plain,
! [X0: $i] :
( ( p1 @ ( sk__4 @ sk__23 ) )
| ( p1 @ ( sk__4 @ sk__23 ) )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26627,zip_derived_cl27280]) ).
thf(zip_derived_cl27293,plain,
! [X0: $i] :
( ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl27286]) ).
thf(zip_derived_cl27302,plain,
( ~ ( p1 @ ( sk__14 @ sk__26 ) )
| ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl27293]) ).
thf(zip_derived_cl26330_376,plain,
p1 @ ( sk__14 @ sk__26 ),
inference(demod,[status(thm)],[zip_derived_cl26329,zip_derived_cl0]) ).
thf(zip_derived_cl27305,plain,
p1 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl27302,zip_derived_cl26330]) ).
thf(zip_derived_cl68_377,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ ( sk__5 @ X32 ) @ ( sk__6 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27305,zip_derived_cl68]) ).
thf(zip_derived_cl27350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ ( sk__5 @ X2 ) @ ( sk__6 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl27308]) ).
thf(zip_derived_cl27412,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ ( sk__5 @ X1 ) @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27350]) ).
thf(zip_derived_cl27413,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl27412]) ).
thf(zip_derived_cl10_378,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27414,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27413,zip_derived_cl10]) ).
thf(zip_derived_cl4216_379,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl518_380,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl513]) ).
thf(zip_derived_cl27305_381,plain,
p1 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl27302,zip_derived_cl26330]) ).
thf(zip_derived_cl27306,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl518,zip_derived_cl27305]) ).
thf(zip_derived_cl27332,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl27306]) ).
thf(zip_derived_cl0_382,plain,
r1 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_383,plain,
r1 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4216_384,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl27305_385,plain,
p1 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl27302,zip_derived_cl26330]) ).
thf(zip_derived_cl70_386,plain,
! [X17: $i,X18: $i,X20: $i,X31: $i,X32: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X31 @ X32 )
| ( p1 @ X32 )
| ( r1 @ X32 @ ( sk__5 @ X32 ) )
| ~ ( r1 @ X20 @ X31 )
| ~ ( p1 @ ( sk__4 @ X20 ) )
| ~ ( r1 @ X18 @ X20 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ sk__23 @ X3 )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27305,zip_derived_cl70]) ).
thf(zip_derived_cl27367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X2 )
| ( p1 @ X2 )
| ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ X0 @ sk__23 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl27309]) ).
thf(zip_derived_cl27946,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ sk__22 )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ X1 )
| ( p1 @ X1 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27367]) ).
thf(zip_derived_cl27947,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk_ @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl27946]) ).
thf(zip_derived_cl10_387,plain,
r1 @ sk_ @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27948,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27947,zip_derived_cl10]) ).
thf(zip_derived_cl26431_388,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__12 @ sk__23 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26425,zip_derived_cl26332]) ).
thf(zip_derived_cl28104,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27948,zip_derived_cl26431]) ).
thf(zip_derived_cl26425_389,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl28410,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28104,zip_derived_cl26425]) ).
thf(zip_derived_cl28411,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28410]) ).
thf(zip_derived_cl28488,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27332,zip_derived_cl28411]) ).
thf(zip_derived_cl26425_390,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl28491,plain,
! [X0: $i] :
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28488,zip_derived_cl26425]) ).
thf(zip_derived_cl28492,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__12 @ sk__23 ) ) @ X0 )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28491]) ).
thf(zip_derived_cl28498,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27414,zip_derived_cl28492]) ).
thf(zip_derived_cl26425_391,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl28500,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28498,zip_derived_cl26425]) ).
thf(zip_derived_cl28501,plain,
( ( p1 @ ( sk__6 @ ( sk__12 @ sk__23 ) ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28500]) ).
thf(zip_derived_cl4216_392,plain,
r1 @ sk__23 @ ( sk__10 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl4211,zip_derived_cl8]) ).
thf(zip_derived_cl532_393,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl527]) ).
thf(zip_derived_cl27305_394,plain,
p1 @ ( sk__4 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl27302,zip_derived_cl26330]) ).
thf(zip_derived_cl27307,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl27305]) ).
thf(zip_derived_cl27316,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__10 @ sk__23 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4216,zip_derived_cl27307]) ).
thf(zip_derived_cl28506,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ~ ( r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28501,zip_derived_cl27316]) ).
thf(zip_derived_cl26425_395,plain,
r1 @ ( sk__10 @ sk__23 ) @ ( sk__12 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl26424,zip_derived_cl10]) ).
thf(zip_derived_cl28513,plain,
( ( p1 @ ( sk__12 @ sk__23 ) )
| ( p1 @ ( sk__12 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28506,zip_derived_cl26425]) ).
thf(zip_derived_cl28514,plain,
p1 @ ( sk__12 @ sk__23 ),
inference(simplify,[status(thm)],[zip_derived_cl28513]) ).
thf(zip_derived_cl28518,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__23 @ X0 )
| ~ ( p1 @ ( sk__14 @ X1 ) )
| ~ ( r1 @ sk__23 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2123,zip_derived_cl28514]) ).
thf(zip_derived_cl28533,plain,
! [X0: $i] :
( ( p1 @ sk__27 )
| ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl28518]) ).
thf(zip_derived_cl8_396,plain,
~ ( p1 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28539,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ sk__23 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28533,zip_derived_cl8]) ).
thf(zip_derived_cl28541,plain,
~ ( r1 @ sk__23 @ sk__26 ),
inference('s_sup-',[status(thm)],[zip_derived_cl26330,zip_derived_cl28539]) ).
thf(zip_derived_cl5_397,plain,
r1 @ sk__23 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28542,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28541,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL640+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DXLe7bfiD6 true
% 0.13/0.35 % Computer : n027.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 : Fri Aug 25 07:42:48 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
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 147.19/21.82 % Solved by fo/fo6_bce.sh.
% 147.19/21.82 % BCE start: 83
% 147.19/21.82 % BCE eliminated: 0
% 147.19/21.82 % PE start: 83
% 147.19/21.82 logic: neq
% 147.19/21.82 % PE eliminated: 0
% 147.19/21.82 % done 6472 iterations in 21.041s
% 147.19/21.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 147.19/21.82 % SZS output start Refutation
% See solution above
% 148.28/21.83
% 148.28/21.83
% 148.28/21.84 % Terminating...
% 148.98/21.91 % Runner terminated.
% 148.98/21.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------