%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.auONucWZLk true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:36:21 PM UTC 2026
% Result : Theorem 44.92s 7.13s
% Output : Refutation 44.92s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(main,conjecture,
~ ? [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 ) )
| ! [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 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [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 ) )
| ! [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 ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl6,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_001,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ ( sk__7 @ X4 ) @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl39]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_002,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_003,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X4: $i,X10: $i,X11: $i,X12: $i] :
( ( p1 @ X4 )
| ( r1 @ X10 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ~ ( p1 @ X11 )
| ~ ( r1 @ X11 @ X12 )
| ( p1 @ X12 )
| ~ ( r1 @ ( sk__5 @ X4 ) @ X11 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ sk__12 )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__5 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl27]) ).
thf(zip_derived_cl482,plain,
! [X0: $i,X1: $i] :
( ( p1 @ sk__12 )
| ( r1 @ sk__15 @ ( sk__6 @ sk__15 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__5 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl174]) ).
thf(zip_derived_cl5,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__15 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_004,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_005,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
! [X4: $i,X10: $i,X11: $i,X12: $i] :
( ( p1 @ X4 )
| ~ ( p1 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ~ ( p1 @ X11 )
| ~ ( r1 @ X11 @ X12 )
| ( p1 @ X12 )
| ~ ( r1 @ ( sk__5 @ X4 ) @ X11 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__5 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl28]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i] :
( ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__6 @ sk__15 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__5 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl184]) ).
thf(zip_derived_cl226,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__15 @ ( sk__6 @ sk__15 ) )
| ( p1 @ sk__12 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__5 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl214]) ).
thf(zip_derived_cl502,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__5 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ( p1 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl482,zip_derived_cl226]) ).
thf(zip_derived_cl504,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) )
| ( p1 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl502]) ).
thf(zip_derived_cl4_006,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_007,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X4: $i,X10: $i] :
( ( p1 @ X4 )
| ( r1 @ X10 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ( r1 @ X4 @ ( sk__5 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl23]) ).
thf(zip_derived_cl196,plain,
( ( p1 @ sk__12 )
| ( r1 @ sk__15 @ ( sk__6 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl161]) ).
thf(zip_derived_cl4_008,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_009,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_010,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__15 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X4: $i,X10: $i] :
( ( p1 @ X4 )
| ~ ( p1 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ( r1 @ X4 @ ( sk__5 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__15 @ ( sk__6 @ X0 ) )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X1 @ ( sk__5 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl24]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ~ ( r1 @ sk__15 @ ( sk__6 @ X0 ) )
| ( p1 @ sk__12 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl103]) ).
thf(zip_derived_cl116,plain,
( ~ ( r1 @ sk__15 @ ( sk__6 @ sk__15 ) )
| ( p1 @ sk__12 )
| ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl114]) ).
thf(zip_derived_cl199,plain,
( ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl196,zip_derived_cl116]) ).
thf(zip_derived_cl520,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl504,zip_derived_cl199]) ).
thf(zip_derived_cl522,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 )
| ~ ( r1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl520]) ).
thf(zip_derived_cl523,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) @ X0 )
| ( p1 @ sk__12 )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl199_011,plain,
( ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl196,zip_derived_cl116]) ).
thf(zip_derived_cl524,plain,
! [X0: $i] :
( ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 )
| ~ ( r1 @ ( sk__13 @ ( sk__5 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl523,zip_derived_cl199]) ).
thf(zip_derived_cl528,plain,
( ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 )
| ( p1 @ ( sk__14 @ ( sk__5 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl524]) ).
thf(zip_derived_cl530,plain,
( ( p1 @ ( sk__14 @ ( sk__5 @ sk__12 ) ) )
| ( p1 @ sk__12 )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl528]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531,plain,
( ~ ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).
thf(zip_derived_cl199_012,plain,
( ( r1 @ sk__12 @ ( sk__5 @ sk__12 ) )
| ( p1 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl196,zip_derived_cl116]) ).
thf(zip_derived_cl532,plain,
( ( p1 @ sk__12 )
| ( p1 @ ( sk__5 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl531,zip_derived_cl199]) ).
thf(zip_derived_cl25,plain,
! [X4: $i,X10: $i] :
( ( p1 @ X4 )
| ( r1 @ X10 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ~ ( p1 @ ( sk__5 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl533,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ( p1 @ sk__12 )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl25]) ).
thf(zip_derived_cl8_013,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ( p1 @ sk__12 )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl533,zip_derived_cl8]) ).
thf(zip_derived_cl536,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ( p1 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl535]) ).
thf(zip_derived_cl5_014,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__15 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_015,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532_016,plain,
( ( p1 @ sk__12 )
| ( p1 @ ( sk__5 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl531,zip_derived_cl199]) ).
thf(zip_derived_cl8_017,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
! [X4: $i,X10: $i] :
( ( p1 @ X4 )
| ~ ( p1 @ ( sk__6 @ X10 ) )
| ~ ( r1 @ X4 @ X10 )
| ~ ( p1 @ ( sk__5 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__5 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl26]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( p1 @ sk__12 )
| ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl66]) ).
thf(zip_derived_cl537,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__6 @ X0 ) )
| ( p1 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl534]) ).
thf(zip_derived_cl541,plain,
( ~ ( p1 @ ( sk__6 @ sk__15 ) )
| ( p1 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl537]) ).
thf(zip_derived_cl546,plain,
( ~ ( r1 @ sk__15 @ ( sk__6 @ sk__15 ) )
| ( p1 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl541]) ).
thf(zip_derived_cl633,plain,
( ( p1 @ sk__12 )
| ~ ( r1 @ sk__12 @ sk__15 )
| ( p1 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl546]) ).
thf(zip_derived_cl4_018,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl634,plain,
( ( p1 @ sk__12 )
| ( p1 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl4]) ).
thf(zip_derived_cl635,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl643,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl635]) ).
thf(zip_derived_cl1101,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl643]) ).
thf(zip_derived_cl7,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1105,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1101,zip_derived_cl7]) ).
thf(zip_derived_cl1109,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl6_019,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_020,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_021,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_022,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ X4 @ ( sk__7 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl31]) ).
thf(zip_derived_cl635_023,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl635]) ).
thf(zip_derived_cl1061,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl638]) ).
thf(zip_derived_cl7_024,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1061,zip_derived_cl7]) ).
thf(zip_derived_cl6_025,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_026,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ X4 @ ( sk__7 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl29]) ).
thf(zip_derived_cl635_027,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl637,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl635]) ).
thf(zip_derived_cl965,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl637]) ).
thf(zip_derived_cl7_028,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl969,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl965,zip_derived_cl7]) ).
thf(zip_derived_cl4_029,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_030,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
! [X4: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X4 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( p1 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ( r1 @ X7 @ ( sk__4 @ X7 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X2 )
| ( r1 @ X0 @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl21]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__15 @ X1 )
| ( r1 @ sk__15 @ ( sk__4 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl147]) ).
thf(zip_derived_cl5_031,plain,
! [X1: $i] :
( ( p1 @ X1 )
| ~ ( r1 @ sk__15 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_032,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_033,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X4: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X4 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( p1 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( p1 @ ( sk__4 @ X7 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( p1 @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl22]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__15 @ X1 )
| ~ ( p1 @ ( sk__4 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl78]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__15 @ ( sk__4 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( r1 @ sk__15 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl83]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__15 @ X1 )
| ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl85]) ).
thf(zip_derived_cl1040,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ sk__15 )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl969,zip_derived_cl152]) ).
thf(zip_derived_cl4_034,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1040,zip_derived_cl4]) ).
thf(zip_derived_cl1067,plain,
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ sk__15 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1066,zip_derived_cl1047]) ).
thf(zip_derived_cl4_035,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1068,plain,
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1067,zip_derived_cl4]) ).
thf(zip_derived_cl1069,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1068]) ).
thf(zip_derived_cl30,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ~ ( p1 @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ X4 @ ( sk__7 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1070,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ sk__15 )
| ( r1 @ X1 @ ( sk__7 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1069,zip_derived_cl30]) ).
thf(zip_derived_cl1356,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1070]) ).
thf(zip_derived_cl635_036,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_037,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1357,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1356,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl1358,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X0 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1357]) ).
thf(zip_derived_cl1363,plain,
( ( p1 @ sk__16 )
| ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1358]) ).
thf(zip_derived_cl7_038,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl6_039,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368_040,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_041,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368_042,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_043,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ ( sk__2 @ X3 ) @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl1395,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl81]) ).
thf(zip_derived_cl1368_044,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_045,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl1394,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl69]) ).
thf(zip_derived_cl1109_046,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl4_047,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_048,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_049,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
! [X4: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( p1 @ X15 )
| ~ ( r1 @ X15 @ X16 )
| ( p1 @ X17 )
| ~ ( r1 @ X16 @ X17 )
| ~ ( p1 @ X16 )
| ~ ( r1 @ ( sk__7 @ X4 ) @ X15 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl55]) ).
thf(zip_derived_cl635_050,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl1659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl635]) ).
thf(zip_derived_cl1665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__16 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1659]) ).
thf(zip_derived_cl7_051,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1665,zip_derived_cl7]) ).
thf(zip_derived_cl1718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1671]) ).
thf(zip_derived_cl1823,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl1718]) ).
thf(zip_derived_cl1833,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1823]) ).
thf(zip_derived_cl1837,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1833]) ).
thf(zip_derived_cl1842,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1837]) ).
thf(zip_derived_cl1368_052,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_053,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( p1 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl1396,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl91]) ).
thf(zip_derived_cl3494,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1842,zip_derived_cl1396]) ).
thf(zip_derived_cl1109_054,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl3495,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3494,zip_derived_cl1109]) ).
thf(zip_derived_cl3500,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1395,zip_derived_cl3495]) ).
thf(zip_derived_cl3504,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3500]) ).
thf(zip_derived_cl1109_055,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl3741,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3504,zip_derived_cl1109]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( p1 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3742,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3741,zip_derived_cl10]) ).
thf(zip_derived_cl3748,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3742]) ).
thf(zip_derived_cl3785,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3748]) ).
thf(zip_derived_cl3788,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3785]) ).
thf(zip_derived_cl3796,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl3788]) ).
thf(zip_derived_cl1109_056,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl3812,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl4_057,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_058,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368_059,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl1368_060,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl4_061,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_062,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_063,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368_064,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_065,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1395_066,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl81]) ).
thf(zip_derived_cl1394_067,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl69]) ).
thf(zip_derived_cl4_068,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_069,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_070,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ ( sk__7 @ X4 ) @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl37]) ).
thf(zip_derived_cl635_071,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl641,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl635]) ).
thf(zip_derived_cl1082,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl641]) ).
thf(zip_derived_cl7_072,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1086,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1082,zip_derived_cl7]) ).
thf(zip_derived_cl1090,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl4_073,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_074,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_075,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
! [X4: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( p1 @ X15 )
| ~ ( r1 @ X15 @ X16 )
| ( p1 @ X17 )
| ~ ( r1 @ X16 @ X17 )
| ~ ( p1 @ X16 )
| ~ ( r1 @ ( sk__7 @ X4 ) @ X15 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl53]) ).
thf(zip_derived_cl635_076,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl1343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl635]) ).
thf(zip_derived_cl1348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__16 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1343]) ).
thf(zip_derived_cl7_077,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1348,zip_derived_cl7]) ).
thf(zip_derived_cl1372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1352]) ).
thf(zip_derived_cl1641,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl1372]) ).
thf(zip_derived_cl1654,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1641]) ).
thf(zip_derived_cl1676,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1654]) ).
thf(zip_derived_cl1681,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1676]) ).
thf(zip_derived_cl1396_078,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl91]) ).
thf(zip_derived_cl3196,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1681,zip_derived_cl1396]) ).
thf(zip_derived_cl1090_079,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl3197,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3196,zip_derived_cl1090]) ).
thf(zip_derived_cl3202,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1395,zip_derived_cl3197]) ).
thf(zip_derived_cl3206,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3202]) ).
thf(zip_derived_cl1090_080,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl3212,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3206,zip_derived_cl1090]) ).
thf(zip_derived_cl10_081,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( p1 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3213,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3212,zip_derived_cl10]) ).
thf(zip_derived_cl3217,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3213]) ).
thf(zip_derived_cl3224,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3217]) ).
thf(zip_derived_cl3227,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3224]) ).
thf(zip_derived_cl3233,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl3227]) ).
thf(zip_derived_cl1090_082,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl3248,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3233,zip_derived_cl1090]) ).
thf(zip_derived_cl33,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3249,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3248,zip_derived_cl33]) ).
thf(zip_derived_cl635_083,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_084,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3253,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3249,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl3340,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ sk__16 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3253]) ).
thf(zip_derived_cl7_085,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3348,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3340,zip_derived_cl7]) ).
thf(zip_derived_cl3355,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3348]) ).
thf(zip_derived_cl3362,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl1_086,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_087,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_088,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_089,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_090,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1090_091,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl1368_092,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_093,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ ( sk__2 @ X3 ) @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ X5 @ X6 )
| ( p1 @ X6 )
| ~ ( r1 @ ( sk__1 @ X4 ) @ X5 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl19]) ).
thf(zip_derived_cl1399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl130]) ).
thf(zip_derived_cl1623,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl1399]) ).
thf(zip_derived_cl3101,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1623]) ).
thf(zip_derived_cl3362_094,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl7664,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3101,zip_derived_cl3362]) ).
thf(zip_derived_cl7666,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7664]) ).
thf(zip_derived_cl7667,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7666]) ).
thf(zip_derived_cl3362_095,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl8162,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7667,zip_derived_cl3362]) ).
thf(zip_derived_cl8166,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8162]) ).
thf(zip_derived_cl8167,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8166]) ).
thf(zip_derived_cl2_096,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8168,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8167,zip_derived_cl2]) ).
thf(zip_derived_cl3362_097,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl8169,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8168,zip_derived_cl3362]) ).
thf(zip_derived_cl1_098,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_099,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_100,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1090_101,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl1368_102,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_103,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ X5 @ X6 )
| ( p1 @ X6 )
| ~ ( r1 @ ( sk__1 @ X4 ) @ X5 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl17]) ).
thf(zip_derived_cl1397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl111]) ).
thf(zip_derived_cl1597,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl1397]) ).
thf(zip_derived_cl2949,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1597]) ).
thf(zip_derived_cl3362_104,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl6400,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2949,zip_derived_cl3362]) ).
thf(zip_derived_cl6402,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6400]) ).
thf(zip_derived_cl6403,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6402]) ).
thf(zip_derived_cl3362_105,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl7737,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6403,zip_derived_cl3362]) ).
thf(zip_derived_cl7741,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7737]) ).
thf(zip_derived_cl7742,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7741]) ).
thf(zip_derived_cl2_106,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7752,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7742,zip_derived_cl2]) ).
thf(zip_derived_cl3362_107,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl7753,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7752,zip_derived_cl3362]) ).
thf(zip_derived_cl1654_108,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1641]) ).
thf(zip_derived_cl7759,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7753,zip_derived_cl1654]) ).
thf(zip_derived_cl7770,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7759]) ).
thf(zip_derived_cl1_109,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_110,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_111,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1090_112,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl1368_113,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_114,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( p1 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ X5 @ X6 )
| ( p1 @ X6 )
| ~ ( r1 @ ( sk__1 @ X4 ) @ X5 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl20]) ).
thf(zip_derived_cl1400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl134]) ).
thf(zip_derived_cl1583,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1090,zip_derived_cl1400]) ).
thf(zip_derived_cl2167,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1583]) ).
thf(zip_derived_cl3362_115,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl4649,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2167,zip_derived_cl3362]) ).
thf(zip_derived_cl4651,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4649]) ).
thf(zip_derived_cl4652,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4651]) ).
thf(zip_derived_cl3362_116,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl4653,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4652,zip_derived_cl3362]) ).
thf(zip_derived_cl4657,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4653]) ).
thf(zip_derived_cl4658,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4657]) ).
thf(zip_derived_cl2_117,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4659,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4658,zip_derived_cl2]) ).
thf(zip_derived_cl3362_118,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl4660,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4659,zip_derived_cl3362]) ).
thf(zip_derived_cl7780,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl7770,zip_derived_cl4660]) ).
thf(zip_derived_cl8170,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8169,zip_derived_cl7780]) ).
thf(zip_derived_cl8175,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8170]) ).
thf(zip_derived_cl1368_119,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_120,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( p1 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ X5 )
| ~ ( r1 @ X5 @ X6 )
| ( p1 @ X6 )
| ~ ( r1 @ ( sk__1 @ X4 ) @ X5 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl18]) ).
thf(zip_derived_cl1398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl120]) ).
thf(zip_derived_cl8187,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8175,zip_derived_cl1398]) ).
thf(zip_derived_cl8191,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8187]) ).
thf(zip_derived_cl1090_121,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl8212,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl8191,zip_derived_cl1090]) ).
thf(zip_derived_cl8215,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8212]) ).
thf(zip_derived_cl8222,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8215]) ).
thf(zip_derived_cl0_122,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8231,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl8222,zip_derived_cl0]) ).
thf(zip_derived_cl3362_123,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl8232,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8231,zip_derived_cl3362]) ).
thf(zip_derived_cl8236,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8232]) ).
thf(zip_derived_cl8237,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8236]) ).
thf(zip_derived_cl2_124,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8238,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8237,zip_derived_cl2]) ).
thf(zip_derived_cl3362_125,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3355]) ).
thf(zip_derived_cl8239,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8238,zip_derived_cl3362]) ).
thf(zip_derived_cl33_126,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8240,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8239,zip_derived_cl33]) ).
thf(zip_derived_cl635_127,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_128,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8244,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8240,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl8324,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3362,zip_derived_cl8244]) ).
thf(zip_derived_cl8332,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8324]) ).
thf(zip_derived_cl8343,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8332]) ).
thf(zip_derived_cl8349,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8343]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ ( sk__2 @ X3 ) @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8353,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8349,zip_derived_cl15]) ).
thf(zip_derived_cl8_129,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8357,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8353,zip_derived_cl8]) ).
thf(zip_derived_cl9150,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl8357]) ).
thf(zip_derived_cl1368_130,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8349_131,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8343]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8352,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8349,zip_derived_cl13]) ).
thf(zip_derived_cl8_132,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8356,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8352,zip_derived_cl8]) ).
thf(zip_derived_cl8428,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl8356]) ).
thf(zip_derived_cl1654_133,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1641]) ).
thf(zip_derived_cl9020,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8428,zip_derived_cl1654]) ).
thf(zip_derived_cl9095,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9020]) ).
thf(zip_derived_cl1368_134,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8349_135,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8343]) ).
thf(zip_derived_cl8_136,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( p1 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(zip_derived_cl8355,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8349,zip_derived_cl105]) ).
thf(zip_derived_cl8403,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl8355]) ).
thf(zip_derived_cl9255,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl9095,zip_derived_cl8403]) ).
thf(zip_derived_cl1090_137,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl9256,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9255,zip_derived_cl1090]) ).
thf(zip_derived_cl9265,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9150,zip_derived_cl9256]) ).
thf(zip_derived_cl9273,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9265]) ).
thf(zip_derived_cl1090_138,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl9276,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9273,zip_derived_cl1090]) ).
thf(zip_derived_cl8349_139,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8343]) ).
thf(zip_derived_cl8_140,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( p1 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).
thf(zip_derived_cl8354,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8349,zip_derived_cl75]) ).
thf(zip_derived_cl9281,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9276,zip_derived_cl8354]) ).
thf(zip_derived_cl9286,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9281]) ).
thf(zip_derived_cl9295,plain,
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl9286]) ).
thf(zip_derived_cl1090_141,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1086]) ).
thf(zip_derived_cl9319,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9295,zip_derived_cl1090]) ).
thf(zip_derived_cl33_142,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ X14 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9320,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9319,zip_derived_cl33]) ).
thf(zip_derived_cl635_143,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_144,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9324,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ X1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9320,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl9420,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( p1 @ sk__16 )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl9324]) ).
thf(zip_derived_cl7_145,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9433,plain,
! [X0: $i] :
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9420,zip_derived_cl7]) ).
thf(zip_derived_cl9443,plain,
( ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) )
| ( r1 @ sk__15 @ ( sk__10 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9433]) ).
thf(zip_derived_cl9455,plain,
r1 @ sk__15 @ ( sk__10 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl9443]) ).
thf(zip_derived_cl152_146,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__15 @ X1 )
| ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl85]) ).
thf(zip_derived_cl9461,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl9465,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3812,zip_derived_cl9461]) ).
thf(zip_derived_cl35,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9470,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9465,zip_derived_cl35]) ).
thf(zip_derived_cl635_147,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_148,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9474,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9470,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl9610,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ sk__16 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl9474]) ).
thf(zip_derived_cl7_149,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9618,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9610,zip_derived_cl7]) ).
thf(zip_derived_cl9461_150,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl9620,plain,
( ~ ( r1 @ sk__12 @ sk__15 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9618,zip_derived_cl9461]) ).
thf(zip_derived_cl4_151,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9622,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9620,zip_derived_cl4]) ).
thf(zip_derived_cl9623,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9622]) ).
thf(zip_derived_cl1_152,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_153,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_154,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_155,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_156,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1109_157,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl1399_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl130]) ).
thf(zip_derived_cl1625,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl1399]) ).
thf(zip_derived_cl3126,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1625]) ).
thf(zip_derived_cl3812_159,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl7776,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3126,zip_derived_cl3812]) ).
thf(zip_derived_cl7778,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7776]) ).
thf(zip_derived_cl7779,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7778]) ).
thf(zip_derived_cl3812_160,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl12124,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7779,zip_derived_cl3812]) ).
thf(zip_derived_cl12128,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12124]) ).
thf(zip_derived_cl12129,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12128]) ).
thf(zip_derived_cl2_161,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12132,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12129,zip_derived_cl2]) ).
thf(zip_derived_cl3812_162,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl12133,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12132,zip_derived_cl3812]) ).
thf(zip_derived_cl1_163,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_164,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_165,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1109_166,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl1397_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl111]) ).
thf(zip_derived_cl1599,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl1397]) ).
thf(zip_derived_cl3058,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1599]) ).
thf(zip_derived_cl3812_168,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl7470,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3058,zip_derived_cl3812]) ).
thf(zip_derived_cl7472,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7470]) ).
thf(zip_derived_cl7473,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7472]) ).
thf(zip_derived_cl3812_169,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl7971,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7473,zip_derived_cl3812]) ).
thf(zip_derived_cl7975,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7971]) ).
thf(zip_derived_cl7976,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7975]) ).
thf(zip_derived_cl2_170,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8006,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7976,zip_derived_cl2]) ).
thf(zip_derived_cl3812_171,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl8007,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8006,zip_derived_cl3812]) ).
thf(zip_derived_cl1833_172,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1823]) ).
thf(zip_derived_cl8016,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8007,zip_derived_cl1833]) ).
thf(zip_derived_cl8027,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8016]) ).
thf(zip_derived_cl1_173,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_174,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_175,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1109_176,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl1400_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl134]) ).
thf(zip_derived_cl1585,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl1400]) ).
thf(zip_derived_cl2358,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1585]) ).
thf(zip_derived_cl3812_178,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl4907,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2358,zip_derived_cl3812]) ).
thf(zip_derived_cl4909,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4907]) ).
thf(zip_derived_cl4910,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4909]) ).
thf(zip_derived_cl3812_179,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl4970,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4910,zip_derived_cl3812]) ).
thf(zip_derived_cl4974,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4970]) ).
thf(zip_derived_cl4975,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4974]) ).
thf(zip_derived_cl2_180,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4976,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4975,zip_derived_cl2]) ).
thf(zip_derived_cl3812_181,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl4977,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4976,zip_derived_cl3812]) ).
thf(zip_derived_cl8030,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl8027,zip_derived_cl4977]) ).
thf(zip_derived_cl12134,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12133,zip_derived_cl8030]) ).
thf(zip_derived_cl12137,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12134]) ).
thf(zip_derived_cl1398_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl120]) ).
thf(zip_derived_cl12145,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12137,zip_derived_cl1398]) ).
thf(zip_derived_cl12148,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12145]) ).
thf(zip_derived_cl1109_183,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl12162,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl12148,zip_derived_cl1109]) ).
thf(zip_derived_cl12165,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl12162]) ).
thf(zip_derived_cl12173,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12165]) ).
thf(zip_derived_cl0_184,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12175,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl12173,zip_derived_cl0]) ).
thf(zip_derived_cl3812_185,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl12176,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12175,zip_derived_cl3812]) ).
thf(zip_derived_cl12180,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12176]) ).
thf(zip_derived_cl12181,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12180]) ).
thf(zip_derived_cl2_186,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12182,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12181,zip_derived_cl2]) ).
thf(zip_derived_cl3812_187,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3796,zip_derived_cl1109]) ).
thf(zip_derived_cl12183,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12182,zip_derived_cl3812]) ).
thf(zip_derived_cl9461_188,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl12184,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12183,zip_derived_cl9461]) ).
thf(zip_derived_cl35_189,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12188,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12184,zip_derived_cl35]) ).
thf(zip_derived_cl635_190,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_191,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12192,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12188,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl12288,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9623,zip_derived_cl12192]) ).
thf(zip_derived_cl12295,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12288]) ).
thf(zip_derived_cl9461_192,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl12307,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ sk__15 )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12295,zip_derived_cl9461]) ).
thf(zip_derived_cl4_193,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12316,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12307,zip_derived_cl4]) ).
thf(zip_derived_cl12317,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12316]) ).
thf(zip_derived_cl15_194,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ ( sk__2 @ X3 ) @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12319,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl15]) ).
thf(zip_derived_cl8_195,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12323,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12319,zip_derived_cl8]) ).
thf(zip_derived_cl12911,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl12323]) ).
thf(zip_derived_cl1109_196,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1105]) ).
thf(zip_derived_cl1368_197,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl12317_198,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12316]) ).
thf(zip_derived_cl13_199,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12318,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl13]) ).
thf(zip_derived_cl8_200,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12322,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12318,zip_derived_cl8]) ).
thf(zip_derived_cl12404,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl12322]) ).
thf(zip_derived_cl9623_201,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9622]) ).
thf(zip_derived_cl6_202,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_203,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( p1 @ ( sk__10 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ ( sk__7 @ X4 ) @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( p1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl40]) ).
thf(zip_derived_cl635_204,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl646,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ ( sk__10 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl635]) ).
thf(zip_derived_cl951,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ( p1 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl646]) ).
thf(zip_derived_cl7_205,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl955,plain,
! [X0: $i] :
( ( p1 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl951,zip_derived_cl7]) ).
thf(zip_derived_cl9634,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__10 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9623,zip_derived_cl955]) ).
thf(zip_derived_cl1718_206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1671]) ).
thf(zip_derived_cl9680,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__10 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9634,zip_derived_cl1718]) ).
thf(zip_derived_cl1833_207,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1823]) ).
thf(zip_derived_cl10276,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9680,zip_derived_cl1833]) ).
thf(zip_derived_cl9461_208,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl10277,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl10276,zip_derived_cl9461]) ).
thf(zip_derived_cl13035,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12404,zip_derived_cl10277]) ).
thf(zip_derived_cl13119,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13035]) ).
thf(zip_derived_cl1368_209,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl12317_210,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12316]) ).
thf(zip_derived_cl105_211,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(zip_derived_cl12321,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl105]) ).
thf(zip_derived_cl12370,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl12321]) ).
thf(zip_derived_cl13195,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl13119,zip_derived_cl12370]) ).
thf(zip_derived_cl13196,plain,
! [X0: $i] :
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl13195]) ).
thf(zip_derived_cl9461_212,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl13242,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13196,zip_derived_cl9461]) ).
thf(zip_derived_cl13251,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12911,zip_derived_cl13242]) ).
thf(zip_derived_cl13259,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13251]) ).
thf(zip_derived_cl1368_213,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl12317_214,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12316]) ).
thf(zip_derived_cl75_215,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).
thf(zip_derived_cl12320,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12317,zip_derived_cl75]) ).
thf(zip_derived_cl12333,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl12320]) ).
thf(zip_derived_cl13263,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13259,zip_derived_cl12333]) ).
thf(zip_derived_cl13264,plain,
( ( r1 @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1109,zip_derived_cl13263]) ).
thf(zip_derived_cl9461_216,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl13270,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13264,zip_derived_cl9461]) ).
thf(zip_derived_cl35_217,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ( r1 @ ( sk__10 @ X14 ) @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13272,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13270,zip_derived_cl35]) ).
thf(zip_derived_cl635_218,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_219,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13276,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl13272,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl13479,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ sk__16 )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13276]) ).
thf(zip_derived_cl7_220,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13492,plain,
! [X0: $i] :
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( r1 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13479,zip_derived_cl7]) ).
thf(zip_derived_cl9461_221,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__10 @ sk__15 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9455,zip_derived_cl152]) ).
thf(zip_derived_cl13505,plain,
( ~ ( r1 @ sk__12 @ sk__15 )
| ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13492,zip_derived_cl9461]) ).
thf(zip_derived_cl4_222,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13514,plain,
( ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13505,zip_derived_cl4]) ).
thf(zip_derived_cl13515,plain,
p1 @ ( sk__11 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl13514]) ).
thf(zip_derived_cl6_223,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_224,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ~ ( p1 @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ~ ( p1 @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl34]) ).
thf(zip_derived_cl635_225,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl636,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl635]) ).
thf(zip_derived_cl1368_226,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl4_227,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13515_228,plain,
p1 @ ( sk__11 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl13514]) ).
thf(zip_derived_cl6_229,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1368_230,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl8_231,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1395_232,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl81]) ).
thf(zip_derived_cl1396_233,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl91]) ).
thf(zip_derived_cl1394_234,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl69]) ).
thf(zip_derived_cl6_235,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_236,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13515_237,plain,
p1 @ ( sk__11 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl13514]) ).
thf(zip_derived_cl38,plain,
! [X4: $i,X13: $i,X14: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ~ ( p1 @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( r1 @ ( sk__7 @ X4 ) @ ( sk__9 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13520,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ sk__15 )
| ( r1 @ ( sk__7 @ X1 ) @ ( sk__9 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13515,zip_derived_cl38]) ).
thf(zip_derived_cl13568,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl13520]) ).
thf(zip_derived_cl635_238,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl8_239,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13569,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13568,zip_derived_cl635,zip_derived_cl8]) ).
thf(zip_derived_cl13588,plain,
( ( p1 @ sk__16 )
| ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13569]) ).
thf(zip_derived_cl7_240,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13594,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl4_241,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_242,plain,
r1 @ sk__12 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_243,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
! [X4: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ( p1 @ X13 )
| ~ ( r1 @ X4 @ X13 )
| ~ ( p1 @ X4 )
| ~ ( p1 @ ( sk__11 @ X14 ) )
| ~ ( r1 @ X4 @ X14 )
| ( p1 @ X15 )
| ~ ( r1 @ X15 @ X16 )
| ( p1 @ X17 )
| ~ ( r1 @ X16 @ X17 )
| ~ ( p1 @ X16 )
| ~ ( r1 @ ( sk__7 @ X4 ) @ X15 )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ sk__12 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl54]) ).
thf(zip_derived_cl635_244,plain,
p1 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl634]) ).
thf(zip_derived_cl657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( p1 @ X3 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl635]) ).
thf(zip_derived_cl870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ sk__16 )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl657]) ).
thf(zip_derived_cl7_245,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p1 @ X2 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl870,zip_derived_cl7]) ).
thf(zip_derived_cl885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl874]) ).
thf(zip_derived_cl13515_246,plain,
p1 @ ( sk__11 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl13514]) ).
thf(zip_derived_cl13517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p1 @ X1 )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl13515]) ).
thf(zip_derived_cl13599,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl13517]) ).
thf(zip_derived_cl13608,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl13599]) ).
thf(zip_derived_cl13594_247,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl13614,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13608,zip_derived_cl13594]) ).
thf(zip_derived_cl13615,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13614]) ).
thf(zip_derived_cl13655,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1396,zip_derived_cl13615]) ).
thf(zip_derived_cl13594_248,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl13658,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13655,zip_derived_cl13594]) ).
thf(zip_derived_cl13659,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13658]) ).
thf(zip_derived_cl13665,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1395,zip_derived_cl13659]) ).
thf(zip_derived_cl13594_249,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl13669,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13665,zip_derived_cl13594]) ).
thf(zip_derived_cl13670,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13669]) ).
thf(zip_derived_cl10_250,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ~ ( p1 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ( r1 @ X4 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13672,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13670,zip_derived_cl10]) ).
thf(zip_derived_cl13674,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ X1 )
| ( r1 @ X1 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13672]) ).
thf(zip_derived_cl13680,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl13674]) ).
thf(zip_derived_cl13683,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ X0 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ X0 )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13680]) ).
thf(zip_derived_cl13689,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl13683]) ).
thf(zip_derived_cl13594_251,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl13697,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13689,zip_derived_cl13594]) ).
thf(zip_derived_cl636_252,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl635]) ).
thf(zip_derived_cl13700,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13697,zip_derived_cl636]) ).
thf(zip_derived_cl13709,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ sk__16 )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl13700]) ).
thf(zip_derived_cl7_253,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13717,plain,
! [X0: $i] :
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13709,zip_derived_cl7]) ).
thf(zip_derived_cl13719,plain,
( ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ sk__12 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13515,zip_derived_cl13717]) ).
thf(zip_derived_cl4_254,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13720,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl1_255,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_256,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_257,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_258,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_259,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_260,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13594_261,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl1399_262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl130]) ).
thf(zip_derived_cl13597,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl1399]) ).
thf(zip_derived_cl13815,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13597]) ).
thf(zip_derived_cl13720_263,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13817,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13815,zip_derived_cl13720]) ).
thf(zip_derived_cl13950,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13817]) ).
thf(zip_derived_cl13720_264,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13951,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13950,zip_derived_cl13720]) ).
thf(zip_derived_cl13952,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13951]) ).
thf(zip_derived_cl13958,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl13952]) ).
thf(zip_derived_cl13720_265,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13959,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13958,zip_derived_cl13720]) ).
thf(zip_derived_cl13960,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13959]) ).
thf(zip_derived_cl13720_266,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl2_267,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13729,plain,
( ~ ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13720,zip_derived_cl2]) ).
thf(zip_derived_cl13961,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13960,zip_derived_cl13729]) ).
thf(zip_derived_cl1_268,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_269,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_270,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13594_271,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl1400_272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl134]) ).
thf(zip_derived_cl13598,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl1400]) ).
thf(zip_derived_cl13648,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13598]) ).
thf(zip_derived_cl13720_273,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14032,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13648,zip_derived_cl13720]) ).
thf(zip_derived_cl14034,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl14032]) ).
thf(zip_derived_cl13720_274,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14035,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14034,zip_derived_cl13720]) ).
thf(zip_derived_cl14036,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14035]) ).
thf(zip_derived_cl14038,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14036]) ).
thf(zip_derived_cl13720_275,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14039,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14038,zip_derived_cl13720]) ).
thf(zip_derived_cl14040,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14039]) ).
thf(zip_derived_cl13729_276,plain,
( ~ ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13720,zip_derived_cl2]) ).
thf(zip_derived_cl14043,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14040,zip_derived_cl13729]) ).
thf(zip_derived_cl1_277,plain,
! [X0: $i] :
( ( r1 @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_278,plain,
! [X0: $i] :
( ( p1 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_279,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__13 @ X0 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13594_280,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl1397_281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl111]) ).
thf(zip_derived_cl13596,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl1397]) ).
thf(zip_derived_cl13809,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13596]) ).
thf(zip_derived_cl13720_282,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13811,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13809,zip_derived_cl13720]) ).
thf(zip_derived_cl13919,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13811]) ).
thf(zip_derived_cl13720_283,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13920,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13919,zip_derived_cl13720]) ).
thf(zip_derived_cl13921,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13920]) ).
thf(zip_derived_cl13923,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl13921]) ).
thf(zip_derived_cl13720_284,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl13924,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13923,zip_derived_cl13720]) ).
thf(zip_derived_cl13925,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13924]) ).
thf(zip_derived_cl13729_285,plain,
( ~ ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13720,zip_derived_cl2]) ).
thf(zip_derived_cl13926,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( r1 @ ( sk__9 @ sk__12 ) @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl13925,zip_derived_cl13729]) ).
thf(zip_derived_cl13599_286,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl13517]) ).
thf(zip_derived_cl13928,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13926,zip_derived_cl13599]) ).
thf(zip_derived_cl13930,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13928]) ).
thf(zip_derived_cl14044,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14043,zip_derived_cl13930]) ).
thf(zip_derived_cl14045,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14044]) ).
thf(zip_derived_cl14047,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13961,zip_derived_cl14045]) ).
thf(zip_derived_cl14048,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14047]) ).
thf(zip_derived_cl1398_287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( p1 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( p1 @ X2 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl120]) ).
thf(zip_derived_cl14050,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14048,zip_derived_cl1398]) ).
thf(zip_derived_cl13594_288,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl14053,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14050,zip_derived_cl13594]) ).
thf(zip_derived_cl14054,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14053]) ).
thf(zip_derived_cl14058,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl14054]) ).
thf(zip_derived_cl13720_289,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14062,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14058,zip_derived_cl13720]) ).
thf(zip_derived_cl14063,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( p1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14062]) ).
thf(zip_derived_cl14066,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl14063]) ).
thf(zip_derived_cl13720_290,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14067,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14066,zip_derived_cl13720]) ).
thf(zip_derived_cl14068,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14067]) ).
thf(zip_derived_cl14070,plain,
( ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14068]) ).
thf(zip_derived_cl13720_291,plain,
r1 @ sk__12 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13719,zip_derived_cl4]) ).
thf(zip_derived_cl14071,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14070,zip_derived_cl13720]) ).
thf(zip_derived_cl14072,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14071]) ).
thf(zip_derived_cl13729_292,plain,
( ~ ( p1 @ ( sk__14 @ ( sk__1 @ sk__12 ) ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13720,zip_derived_cl2]) ).
thf(zip_derived_cl14073,plain,
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl14072,zip_derived_cl13729]) ).
thf(zip_derived_cl636_293,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl635]) ).
thf(zip_derived_cl14076,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14073,zip_derived_cl636]) ).
thf(zip_derived_cl14083,plain,
! [X0: $i] :
( ( p1 @ ( sk__1 @ sk__12 ) )
| ( p1 @ ( sk__1 @ sk__12 ) )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13720,zip_derived_cl14076]) ).
thf(zip_derived_cl14088,plain,
! [X0: $i] :
( ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14083]) ).
thf(zip_derived_cl14095,plain,
( ~ ( p1 @ ( sk__11 @ sk__15 ) )
| ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl14088]) ).
thf(zip_derived_cl13515_294,plain,
p1 @ ( sk__11 @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl13514]) ).
thf(zip_derived_cl14098,plain,
p1 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl14095,zip_derived_cl13515]) ).
thf(zip_derived_cl15_295,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ ( sk__2 @ X3 ) @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14102,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14098,zip_derived_cl15]) ).
thf(zip_derived_cl8_296,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14104,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl14102,zip_derived_cl8]) ).
thf(zip_derived_cl14151,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl14104]) ).
thf(zip_derived_cl1368_297,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl105_298,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(zip_derived_cl14098_299,plain,
p1 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl14095,zip_derived_cl13515]) ).
thf(zip_derived_cl14100,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl14098]) ).
thf(zip_derived_cl14125,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl14100]) ).
thf(zip_derived_cl1368_300,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl14098_301,plain,
p1 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl14095,zip_derived_cl13515]) ).
thf(zip_derived_cl13_302,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X2 @ X3 )
| ( p1 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X4 @ X2 )
| ~ ( p1 @ ( sk__1 @ X4 ) )
| ~ ( r1 @ sk_ @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14101,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( r1 @ sk_ @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14098,zip_derived_cl13]) ).
thf(zip_derived_cl8_303,plain,
r1 @ sk_ @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14103,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl14101,zip_derived_cl8]) ).
thf(zip_derived_cl14140,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl14103]) ).
thf(zip_derived_cl13599_304,plain,
! [X0: $i,X1: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__9 @ sk__12 ) @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13594,zip_derived_cl13517]) ).
thf(zip_derived_cl14453,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14140,zip_derived_cl13599]) ).
thf(zip_derived_cl13594_305,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl14484,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14453,zip_derived_cl13594]) ).
thf(zip_derived_cl14485,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14484]) ).
thf(zip_derived_cl14518,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14125,zip_derived_cl14485]) ).
thf(zip_derived_cl13594_306,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl14521,plain,
! [X0: $i] :
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14518,zip_derived_cl13594]) ).
thf(zip_derived_cl14522,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ ( sk__2 @ ( sk__9 @ sk__12 ) ) @ X0 )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14521]) ).
thf(zip_derived_cl14529,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14151,zip_derived_cl14522]) ).
thf(zip_derived_cl13594_307,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl14532,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14529,zip_derived_cl13594]) ).
thf(zip_derived_cl14533,plain,
( ( p1 @ ( sk__3 @ ( sk__9 @ sk__12 ) ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14532]) ).
thf(zip_derived_cl1368_308,plain,
r1 @ sk__12 @ ( sk__7 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl1363,zip_derived_cl7]) ).
thf(zip_derived_cl75_309,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 )
| ~ ( p1 @ ( sk__1 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).
thf(zip_derived_cl14098_310,plain,
p1 @ ( sk__1 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl14095,zip_derived_cl13515]) ).
thf(zip_derived_cl14099,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl14098]) ).
thf(zip_derived_cl14111,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
| ( p1 @ X0 )
| ~ ( p1 @ ( sk__3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl14099]) ).
thf(zip_derived_cl14537,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ~ ( r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14533,zip_derived_cl14111]) ).
thf(zip_derived_cl13594_311,plain,
r1 @ ( sk__7 @ sk__12 ) @ ( sk__9 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl13588,zip_derived_cl7]) ).
thf(zip_derived_cl14540,plain,
( ( p1 @ ( sk__9 @ sk__12 ) )
| ( p1 @ ( sk__9 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14537,zip_derived_cl13594]) ).
thf(zip_derived_cl14541,plain,
p1 @ ( sk__9 @ sk__12 ),
inference(simplify,[status(thm)],[zip_derived_cl14540]) ).
thf(zip_derived_cl14542,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__12 @ X0 )
| ~ ( p1 @ ( sk__11 @ X1 ) )
| ~ ( r1 @ sk__12 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl14541]) ).
thf(zip_derived_cl14557,plain,
! [X0: $i] :
( ( p1 @ sk__16 )
| ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14542]) ).
thf(zip_derived_cl7_312,plain,
~ ( p1 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14564,plain,
! [X0: $i] :
( ~ ( p1 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14557,zip_derived_cl7]) ).
thf(zip_derived_cl14566,plain,
~ ( r1 @ sk__12 @ sk__15 ),
inference('s_sup-',[status(thm)],[zip_derived_cl13515,zip_derived_cl14564]) ).
thf(zip_derived_cl4_313,plain,
r1 @ sk__12 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14567,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl14566,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.auONucWZLk true
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 13:35:36 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in FO mode
% 0.46/0.66 % Total configuration time : 435
% 0.46/0.66 % Estimated wc time : 1092
% 0.46/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 44.92/7.13 % Solved by fo/fo6_bce.sh.
% 44.92/7.13 % BCE start: 57
% 44.92/7.13 % BCE eliminated: 0
% 44.92/7.13 % PE start: 57
% 44.92/7.13 logic: neq
% 44.92/7.13 % PE eliminated: 0
% 44.92/7.13 % done 3088 iterations in 6.335s
% 44.92/7.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 44.92/7.13 % SZS output start Refutation
% See solution above
% 44.92/7.15
% 44.92/7.15
% 44.92/7.15 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 44.92/7.15 % Terminating...
% 7.87/7.23 % Runner terminated.
% 7.87/7.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------